{"text":"Question: Simplify (sqrt(425) + -3 + 2*sqrt(425) + -3)**2 + 5 - -6*(0 + (-3*sqrt(425) - sqrt(425))*-5)**2.\nAnswer: -180*sqrt(17) + 1023866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1448, 2073, 2644, 3161?\nAnswer: 3624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17*c**2*n**3 - 90*c**2 - 6*n wrt n.\nAnswer: -51*c**2*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.6 + -2.3. What is the third biggest value in 4, -12\/7, i?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 292*t + 802*t + 359*t.\nAnswer: 1453*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -5) + (0 - 1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71014108.\nAnswer: 2, 11, 73, 22109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17496 and 1458?\nAnswer: 17496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h - 54 = -10*h. Suppose 3*s - 5 + h = -5*m, m + 9 = s. Suppose s*x - 69 = -j - 0*x, -369 = -5*j + 4*x. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 341404\/9 + -37934. Let b = 2 - 9. What is the closest to b in -0.3, 0.1, o, 2\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1363091 divided by 484?\nAnswer: 1363091\/484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2341\/4 or -584?\nAnswer: -584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of -14003 and 0.3435.\nAnswer: -14002.6565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -44, -226, -530, -956, -1504, -2174?\n\"Answer: -61*h**2 + h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-906)\/604)\/(63\/4)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/15  (b) 24  (c) -1  (d) -0.5  (e) -0.3  (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*f**4 - 4744750*f**3 + 21536136*f**2 wrt f.\nAnswer: -168*f - 28468500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 - 15. Let n = j + -10. Which is the nearest to n?  (a) -4  (b) 1\/3  (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -901 or 128?\nAnswer: -901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1471, -1507, -1545, -1585?\n\"Answer: -l**2 - 33*l - 1437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/11, -0.3, 1220, -1, 4, -5 in decreasing order.\nAnswer: 1220, 4, 1\/11, -0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*p - 14, -p = -4*r + 20. Let j = 10 - r. Suppose -116 = -5*z - 2*x, -j*x - 76 = -4*z - 0*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 227 or 30?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 61  (b) -4.4  (c) 3\/8  (d) 2  (e) 4\/7  (f) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22715 and 3443240?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 293 a factor of 1376891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.9*8.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -158 + 168. Let v be (-765)\/(-18) + (-5)\/z. What is the highest common factor of v and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*p + 3*m = 84*p + 1212, 5*m = -p + 606. What is the remainder when p is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.318 + -147.432. What is m rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15335 - 1751?\nAnswer: 13364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6686, 6894, 7240, 7724, 8346, 9106, 10004?\n\"Answer: 69*t**2 + t + 6616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 2 = h, 2*h - 15 + 5 = 4*z. Let u be 622 + h\/(12\/28). Calculate the highest common divisor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of k**5\/20 + 199*k**4\/3 - 61*k**3\/6 - 11*k**2\/2 + 32*k + 4. What is the second derivative of y(w) wrt w?\nAnswer: 6*w + 1592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 277 a factor of 5605649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*x + 5. Let q(p) = -4*p + 4*p + p + p**x - 7. What is the remainder when q(5) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2 + 9 - i**2 - 7. Let s(p) = -52*p**2 + 418*p - 9. Let v(q) = 29*q**2 - 209*q + 5. Let o(d) = 5*s(d) + 9*v(d). Calculate o(g(c)).\nAnswer: c**4 - 209*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 PM and 1:46 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 4 + -12 - ((-1 - -5) + -3) - -29.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2\/3429 - -133745\/24003. Calculate the common denominator of 38\/135 and l.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 8 - 0. Does -1\/10 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-1)*h)\/h)**(-4\/5) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 9\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -95*l**2 - 643*l + 6028. Determine c(-12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1448821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/16 in -2.4, 2, 835?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.2 - 21.2. Which is the closest to -1?  (a) 2  (b) 3\/5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of 2*i**3 - 2. Let c(l) = -6*l - 5*l + 6*l + 4*l. What is o(c(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (-13 - -8) - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 645*g + 619*g - 344*g = -69*g + 37582 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 265.6041ml to litres.\nAnswer: 0.2656041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41011907 is divided by 13670619?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 3*i = 0. Suppose 0 = -i*f + 5*f. Suppose -o = 2*h - 86, 0 = h - f*h + 2*o - 40. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6781*i = -6798*i + 629 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -22. Let o = j + 3. Is o at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 (base 3) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*m - 11*m - 4*r - 4, -2*m - 2*r - 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4837, 3, -0.01, 9\/7, -5, -2?\nAnswer: 4837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 210701417 divided by 1?\nAnswer: 210701417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 + -19 + 10 - (-12 + 5))\/1. Solve -56*x - 19*x + 300 = q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 37113 and 2707581?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -5*i + 64. Let u be g(-22). Let v = 178 - u. Sort v, -1, -32 in increasing order.\nAnswer: -32, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**2 - 22*d**2 - 2*d**2.\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 558403 rounded to the nearest 1000?\nAnswer: 558000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/108 and 47\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n + 54. Let i(c) = -70*c. Give i(a(p)).\nAnswer: 70*p - 3780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -21*s. Let c be u(-1). Suppose 0 = 4*b - 27 - c. Suppose -2*n + b = -n. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-2) - 2*12\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 8008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26374887, -26374888, -26374889, -26374890, -26374891, -26374892?\nAnswer: -26374893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 918 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: List the prime factors of 1022486.\nAnswer: 2, 511243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - 0. Let s = r + 5. What is the closest to 1 in -0.1, s, -1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -3*t + 5*f + 15, 4*f = -5*t + 6. Suppose -3 = -t*s + 3. Suppose -2 = s*i - 5. Let o(b) = 8*b**2 - b. Determine o(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(6\/13)*a)\/a)**3 assuming a is positive.\nAnswer: a**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14311 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from ttssttssss?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6962 - -14099. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 304122, 304172, 304222?\nAnswer: 304272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 12, -4, 19\/4, 2610, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 306*j**2 - 250*j wrt j.\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.331 - 1.231. What is the closest to h in 1, -22, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 6*l**2 + l - 4. Let y be v(6). Suppose -x = x - 4. Find the third derivative of -2*t**3 - 2 + y*t**2 + 2 - x*t**3 wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a tonne in grams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 7*u - 222. Let l be o(34). Suppose -23*w + l*w + 7490 = 0. What are the prime factors of w?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*c - 2*c + 30 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 190*o + 618 = 196*o. Calculate the remainder when o is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 1300868\nAnswer: -5\/1300868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1403 - 0.1103. Which is greater: 2\/25 or g?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15224 is divided by 108.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + 3*d**2 - 8*d - 10. Let q(l) = l**2 + 2*l - 4. What is the remainder when q(3) is divided by g(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1350a (base 15) in base 10?\nAnswer: 61885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -42226059*x**5 - 41103*x**2 + 24*x - 1.\nAnswer: -2533563540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o**2 - 2*o**2 + 2*o**2 + o**4)*(0 - 5 - 1).\nAnswer: -6*o**4 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2321 + -0.0321. Let n(h) = h**2 + 2*h - 3. Let s be n(3). Suppose 16*j - 24 = s*j. Which is the closest to -0.1?  (a) -0.5  (b) j  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 16 + 11 = -5*l, 2*l - 4*t = 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 33991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in -6, 0, -69, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2*b**3 + 2*b + 1. Let p(v) = -111*v**3 - 2*v**2 + 8*v + 4. Determine -4*n(h) + p(h).\nAnswer: -103*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2, -2.39101, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*t + 67 - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 4:04 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 131262443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -7*o**2 - 300*o + 33. Is j(-39) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -1197\/2, 2, -3 in ascending order.\nAnswer: -1197\/2, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of -256*d**6\/15 + d**5\/20 - 673*d**2 - 1412*d. What is the derivative of t(m) wrt m?\nAnswer: -2048*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/7  (b) 29  (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 14*n**3 + 20*n**2 - 11*n + 6. Let h(p) be the second derivative of -4*p + 0 - 2\/3*p**3 + 7\/12*p**4 + 1\/4*p**5 + p**2. Calculate 11*h(t) - 4*k(t).\nAnswer: -t**3 - 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*l**2 - 2)*(-3 - 2*l + 3) + (-l**2 - 1 + 1)*(-1 + 1 + 2*l) - 3*l**3 + 3*l**3 + 3*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 733.9429nm?\nAnswer: 0.0000007339429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1095 and 504325245?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 887.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 49152.5 - -0.06\nAnswer: 49152.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (216\/(-14))\/((-6)\/63). Calculate the highest common divisor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172543037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35*((-132)\/(-77))\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 68?  (a) -4  (b) 0.22  (c) 3\/4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 128, 254, 380, 506?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-8)*2 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 0 = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 75341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of -9*z**5\/20 - 3*z**4\/4 - 4*z. What is the third derivative of g(y) wrt y?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j**7\/j)\/j)\/(j*j*j\/(j**(8\/11)*j)*j))\/(j**(-9)*j*(j**(-7)*j)\/j))**(-2\/23) assuming j is positive.\nAnswer: j**(-390\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**7*l**(-1\/14)\/l*l*l**(3\/5)\/(l*l\/((l\/l**(1\/5))\/l)*l))**(-1\/17) assuming l is positive.\nAnswer: l**(607\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 5, 2\/13, 25, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -59 + 59.08. What is the second biggest value in 0.3, 1, o, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.66 + -2.7. Let y = 0.1 - 0.14. Let s = y - v. Which is the biggest value?  (a) -4  (b) s  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -7*v**2 - 4*v. Let k(h) = 8*h**2 + 5*h. Let o be (12 + -7)*(-1 - -2). Let y(b) = o*u(b) + 4*k(b). Solve y(t) = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2113 less than or equal to -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of 0*k**2 - 1\/3*k**3 - 35 + 0*k. Let g(q) = q**2 + 4*q. Determine g(s(a)).\nAnswer: a**4 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 48c1b5 (base 13) to base 15\nAnswer: 2459cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*c - 1114 - 1110 + 3367 - 1123 in the form i*c + s and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 189472 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.06, -5, -4\/21?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -159, -148, -123, -78, -7, 96, 237?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3*11\/(10*10\/100)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -24960, -50135, -75312, -100491, -125672, -150855, -176040?\n\"Answer: -y**2 - 25172*y + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(2) + 2 - (sqrt(98) + 0)**2) + sqrt(20)\/sqrt(40) + 0 + -5)*-2 + 5.\nAnswer: -3*sqrt(2) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 267 + -263. Suppose -101 = -3*a - 2*b, 11*a - 16*a = l*b - 169. Solve 4*t - a = -41 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n**3 - 12*n**2 + 8*n + 16. Let v(a) = a**3 + 9*a**2 - 8*a - 135. Let i be v(-8). Calculate q(i).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/30)\/(18238\/(-4145)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 16448, 129908, 436590, 1032698, 2014436, 3478008, 5519618, 8235470?\n\"Answer: 16034*t**3 + 407*t**2 + t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 0*u - 300 = 0. Suppose 4*d + 15 = -5*v + u, 0 = 2*d + 2*v - 68. What is the greatest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/5, 2128, 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Is 720514517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 5198 + -5198.13495. What is c rounded to 3 decimal places?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151472 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/1018 and -119\/36.\nAnswer: 18324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 32\/15743 and 82\/273.\nAnswer: 47229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10212 (base 3) to base 9.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**2 - 840613*h**3 + 420318*h**3 + 420311*h**3.\nAnswer: 16*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 + -7. Suppose -8 = 2*v - t*v. Let o be 36\/v - 5\/10. Solve 0 = -2*h + 2 - o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -114 + 114. Suppose -2*b - 12*m + 25 = -15*m, q = 2*b + 2*m. Suppose 2*z + z + b*o - 461 = 0, -3*z - o = -469. List the prime factors of z.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22271 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 12*k**2 - 453*k - 5432. What is y(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z. Let q = 10 + -18. Let n be i(q). Let k be 63\/6 + 2\/(-4). Solve -2*g - 5*c = -0*g + k, -n = 2*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 40, 69, 96, 121?\n\"Answer: -w**2 + 32*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29337 + -29342. Let r = -12 - -13. Which is the second smallest value?  (a) l  (b) r  (c) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4117826322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 584 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 952806 not equal to 8575252\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, r: 1, o: 2}. Give prob of sequence ttor.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33 - 36 + 2*l**4 + 3*l**3 + 11*l**3 to h + j*l**2 + x*l**4 + n*l**3 + g*l and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/4 - ((-10)\/(-4) + -3). Which is smaller: -4 or y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17557423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*x - 153 = 218 + 121 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7458243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 155\/15774 and 65\/15774?\nAnswer: 15774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 710 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -14. Let d = 13 - f. Let m(b) = -b. Let s be m(-7). What is the highest common divisor of s and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 75.1 + -75. Which is greater: -0.04 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((8\/12)\/(-2))\/((-4)\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17643626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z**3 + 2*z**3 - z**3 + (z**2 + 2*z**2 - 2*z**2)*(13 - 13 + 5*z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5\/7061 + -317305\/621368. What is the common denominator of z and 97\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -5*m**2 + 23*m - 18. Determine a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 561057 (base 9) to base 7\nAnswer: 2564551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -26*f**2 - 30*f**2 + 3*f - 3*f + 53*f**2. Let n(q) = -7*q**2. What is x(n(c))?\nAnswer: -147*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 112 - 313404?\nAnswer: -313242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*k + 3188 - 11144. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -4. Let h = v + -3. Suppose 3*m - 31 = -2*t, -5*m + 12 = -t - 31. What is the greatest common divisor of h and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (204\/(-10))\/(-6) + -3. Let m(h) be the first derivative of 2\/15*h**3 - 2\/5*h**2 + v*h + 1. Find y, given that m(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84982163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, c: 16}. Give prob of sequence mm.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-4)*r*(r**1*r)\/r)\/(r**(-4)\/(r**(-6\/11)*r)))\/((r\/r**(1\/5))\/r**(-6))**(3\/19) assuming r is positive.\nAnswer: r**(1443\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*b = 3*b - 42. Factor 2\/3 - 2\/3*y**b + 0*y.\nAnswer: -2*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 4 + 0 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 20372 = -6*a, -4*a + 2*a + 6772 = -3*s. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 3*q**2 + q - 7. Let c be p(2). Let h(r) = 6*r - 28. Let g be h(c). Calculate the highest common factor of g and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0331332 - 0.0337. Round x to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-39)\/2 + -2 - (-3)\/6. Let k be (-220)\/(-35) - ((-69)\/i - 3). Solve 0 = 3*l + 2*m - 9, -l - k = 3*m - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/15*((-125)\/12)\/(-25)*-68?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 2*z**3 + 239*z**2 - 124*z + 250. What is the remainder when v(-120) is divided by 361?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from iggp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.033, 93, 1\/4, -2, -0.2, -0.4?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of -f**5\/30 + f**4\/12 - f**2\/2 - f. Let p(v) be the first derivative of i(v). What is the second derivative of p(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-180)\/120*-2*1. Put q, -5, -4, -6 in descending order.\nAnswer: q, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -301*f - 2386. What is s(-6)?\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -77  (b) -23  (c) 2\/9  (d) 0.3  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -53 in decreasing order.\nAnswer: 5, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 345907 is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6\/11, -905257, -0.3?\nAnswer: -905257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -2*s**2 + 34. Let j(q) = 21*q**2. Calculate j(z(x)).\nAnswer: 336*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 47347054 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1370848159?\nAnswer: 17, 5323, 15149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/356 and -57\/8.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/((-184)\/5))\/((-15)\/(-6)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 49\/332 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1068 is divided by 976.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 27 = 4*s, -2*s + i + 1 = 4. Let o be (-3)\/(s + -6)*141. Let h = 114 - o. Calculate the remainder when h is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**4 - 648*f**3 + 5858*f**2 + 181272*f = 0. What is f?\nAnswer: -332, -13, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2 - 7*r + 7. Let i be h(-8). Suppose 5*o - 4*o = 0. List the prime factors of 3 - i - o\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-35)*(-6)\/(-4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of -14*d**5\/5 - 26*d**3\/3 + 10. Find the third derivative of p(t) wrt t.\nAnswer: -336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b*((b*b*(b*(b*b*b**10*b*b)\/b)\/b*b*b*b*b*b)\/b)\/b)*b**(-1\/4) assuming b is positive.\nAnswer: b**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13445512 + 311?\nAnswer: -13445201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1706 (base 14) to base 11.\nAnswer: -3108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-2\/21))**(4\/7) assuming y is positive.\nAnswer: y**(92\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9455867.\nAnswer: 9455867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + f + 10 = 0, 2*g - 5*f = 20 - 3. Let v = 10 + g. What are the prime factors of (-4)\/7 + 642\/v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3968 by -3968.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 45*k + 9. Let m(p) = 172*p + 33. Let s(o) = -4*f(o) + m(o). Let q(j) be the third derivative of -j**4\/8 - j**2. Determine s(q(b)).\nAnswer: 24*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5\/15507 or 0?\nAnswer: 5\/15507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21722*-2.\nAnswer: -43444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2. Let p be 0 + (-1 - 2) + 0. Let b = 5 + p. Let c(v) = v**2 - 2*v**2 + 2*v**b. Calculate i(c(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.24970763 minus -0.2?\nAnswer: -0.04970763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 18, 3, 5 in descending order.\nAnswer: 18, 5, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1569 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5206 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -48444444 divided by 1569?\nAnswer: -30876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -8, -247491 in ascending order.\nAnswer: -247491, -8, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 586288 and 20528?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9.2?  (a) 85  (b) 0.4  (c) -4  (d) 0  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.2807372 rounded to 2 decimal places?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1282343, -2564726, -3847109, -5129492, -6411875, -7694258?\n\"Answer: -1282383*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9487?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10752314.\nAnswer: 2, 5376157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3904 or 3?\nAnswer: -3904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s + 41. Let p be i(-26). Let u be (-12)\/66 - 13\/p. What is the second derivative of 3*q**3 + 466*q + 1 - 467*q - u wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 116957314 + 11323.4.\nAnswer: 116968637.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/5 + 42\/5. Let r = n - 2. Suppose w = -o + 31, -4*o + 3*w - r*w + 126 = 0. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/3))**(-45)*y**(1\/10)*y\/y**(-3))**(2\/21) assuming y is positive.\nAnswer: y**(191\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (1 - 5 - -1) - 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 864, -46, 1, 4, 5 in decreasing order.\nAnswer: 864, 5, 4, 1, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((1\/(-16))\/(45 + (-1448)\/32))\/((-14)\/8)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3791.23*1.\nAnswer: 3791.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17.1 - 20.8. Let a = -92.16 + 89. Let r = g - a. Round r to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 17 - -203416?\nAnswer: 203435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**6\/m)\/(m\/((m\/((m**2*m*m)\/m))\/m)))\/((((m*m**4\/m)\/m)\/m*m*m*m)\/m*m*m*m\/(m*m**0)) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 124 and 64?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -9*l**2 - 277*l + 10. Let b be k(-65). What is b rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + -1 + 0 + -3. Let c(f) = 5*f - 326. Let s be c(64). Let b(l) = l**2 + 6. Let r(o) = 12*o**2 - 5 - 14*o**2 + o**2. Determine s*r(n) + y*b(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-2\/7))\/y)**2*y**(-2\/7)\/(y**(2\/3)*y) assuming y is positive.\nAnswer: y**(-53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from igggigggigwgiw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2927746013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 + 3*i**2 + 2*i - 3. Let n be z(3). Suppose 3*o = -2*r - 6, 2*o - 482 + 486 = r. Solve -2*g - n*g + 5 = r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8.477695 litres?\nAnswer: 8477.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*l = 18, -6*l = -2*l - 12. Suppose -8*p + i*p = -4. Solve -p = z + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -12. Let o = 12 + -11.88. Let y = -0.02 + o. Which is the second smallest value?  (a) d  (b) -0.5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13.6?  (a) -0.4  (b) -1\/11  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o - 15. Suppose 4*q + y = 39, 36 = 2*q - y + 9. Let d be x(q). Let s(z) = z**2 + 4*z - 1. Give s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -4*v**3 + 7*v**2 + 1089*v - 5942. Calculate c(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 28 + 260. Calculate the highest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuutuuuuutuuutuuut. What is prob of picking 2 t?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 - 1511*n + 1131.\nAnswer: (n - 377)*(4*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-584)\/(-36) + (-42 - (-364)\/13). Suppose 44\/9*p**4 + 0*p + 0 - 74\/9*p**3 - 2\/3*p**5 + g*p**2 = 0. Calculate p.\nAnswer: 0, 1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - a + 2*a)*(3 + 3 - 2)*(0 - 1 + 5)*(7 - 3 - 2).\nAnswer: 96*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20218, 80882, 182018, 323644, 505778?\nAnswer: 728438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5 - (6 + (5 - 8) + (-1032)\/(-555)) and 62\/333.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 71 - 64. Let g be 7 + (-66)\/9 + f\/3. Solve 5 = 3*k + g*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133*n + 64*n - 13 = -82*n. Sort -1, n, -3, -4 in ascending order.\nAnswer: -4, -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 3*h - 5*g, -4*h - 14 = -5*g - 6. Let j(o) = -o - 13. Calculate j(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -328.789649 + 116.790165. Let x = b - -212. Round x to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.02 + -0.18. Let q be 9\/(-6)*((-4)\/12)\/1. Are a and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -189*f**2 - 1648*f + 1650. Determine k(1).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22 - 3314134?\nAnswer: -3314211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, s: 1, g: 1, k: 10, e: 6}. What is prob of sequence ee?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m\/(m*m**(5\/4)))\/m**(-2\/9))**(-37))**4)**(-18\/5) assuming m is positive.\nAnswer: m**(-2738\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 60.3 + -61. Which is the biggest value?  (a) q  (b) -4  (c) -3\/7  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/902 or 813?\nAnswer: 813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1259 - 1235. Calculate the remainder when 4\/26 - (-9 + 3267\/(-143)) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 3 = -47. Let b be (0 - (26\/t - -1))*10. Suppose -g + b = 4*h, -5*g + 2*h = -2 - 34. What is the smallest common multiple of g and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-656)\/90 - 4\/(-10) and ((-3)\/5)\/((-3)\/63).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29589794607 + 58\nAnswer: 29589794665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, s: 5, x: 3, p: 2, n: 1, o: 3}. Give prob of picking 1 s, 1 n, and 2 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -6*g + 12. Let h(v) = 4*v**3 + 3*v**2 - 2*v + 1. What is the smallest common multiple of g and h(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40785 is divided by 2267?\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 43, 82, 127, 172, 211, 238?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 8*s - 3*s. Calculate the lowest common multiple of s and 2\/5 - (-46)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97698 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1053, -1989, -2963, -3993, -5097, -6293?\nAnswer: -7599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51\/((-6)\/(-2))*((-1)\/1)\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*c = 18*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -808*j - 17. Does 8 divide r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2841665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 246668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 124 = 390. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1191595827676 + 39.\nAnswer: -1191595827637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 3:32 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 3 u when four letters picked without replacement from pkukkkpkkpkkpkkuku.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of -220*q**4\/3 - 271*q. Let p(a) = a**2. What is p(c(d))?\nAnswer: 774400*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b + 0*b + 2*b)*(44 + 3*b**2 + 6 + 15).\nAnswer: -3*b**3 - 65*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1836440394.\nAnswer: 2, 3, 2131, 143629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 694212091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 170303827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4397 + -2026. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3792186, -7584374, -11376562?\nAnswer: -15168750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-74)\/6 + 1\/3. Let s be (-3)\/12 - (-69)\/b. Is 6 a factor of (-40)\/s + (-1)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4960 is divided by 139.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1804 + ((-43)\/(2322\/(-48)))\/((-2)\/(-9)). Is -2\/5 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 3*z = 10, -5*j + 3*j = -5*j - 5*j + 2*z - 24 + 60 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 4*i**3 - 36*i**2 + 6*i - 56. Let r be o(9). Sort -4, r, -42, 10 in descending order.\nAnswer: 10, r, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -14*u - 3. Suppose -2*v + 2*j = 2*v - 26, 0 = 4*v + 5*j - 61. What is the remainder when q(-2) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 2*q + 32. What is y(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (22520\/510)\/((-2)\/(-12)*4). Let c = 8842\/153 - b. Calculate the common denominator of 27\/14 and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + -1461100?\nAnswer: -1461102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q**3 - q**3 - 234*q**2 + 108*q**2 + 126*q**2.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 2)*(4*y**5 - 9*y**5 - 14*y**5).\nAnswer: -19*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1078730 from 247741.891.\nAnswer: 1326471.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -956, -957, -958?\n\"Answer: -m - 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1046230\/11 + 95047. Let y = 65 + r. Let d = -0.34 + 0.14. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h. Let g(n) = 363*n. What is a(g(d))?\nAnswer: -726*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -64*c. Let r(x) = 3*x**2. What is r(w(z))?\nAnswer: 12288*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7 - 2174*s**4 - 2246*s + 5 + 514*s**4 + 543*s wrt s?\nAnswer: -19920*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40 and 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -12 * 68\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4040 = -161*t + 3*r, -7082 = 4*t - 2*r - 6972 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42180 and 296.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t*t\/((t*t**1\/t)\/t))\/t*t*t*t)\/(t*t*t\/t**(-3\/4)*t)*(t**(-2\/9))**11 assuming t is positive.\nAnswer: t**(-79\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dvdy. Give prob of sequence ddyv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.89*21.1.\nAnswer: -18.779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -52, 20, 140, 308, 524?\n\"Answer: 24*y**2 - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 + 54 + -8 + 3 + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 78.345 to zero dps.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5a16 + -9a?\nAnswer: -5ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -m - 4*w + 7, -m - 2*w = -36. Let v = m + -26. Solve -4*i - 2 = v*g, 3*i + 7*g = 3*g - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 599.9839 nanograms to grams.\nAnswer: 0.0000005999839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is a7982 (base 15) in base 8?\nAnswer: 2017066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) -4  (b) 4\/23  (c) 1\/2  (d) -133.9  (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -5*l**5 + 6850*l**4 - 3101165*l**3 + 461207500*l**2 + 931745920*l + 467430400 = 0.\nAnswer: -1, 380, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 19, 8, -19, -68, -145, -256, -407?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -7*j - 63. Let f(h) = h**2. Determine a(f(c)).\nAnswer: -7*c**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*d + 2270 = 4*a + 2242, 3*d - 37 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of (-1)\/8 - (-1206)\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*b + 11 - 34. Let q be b*4 - (-2 + -22). Solve -3*n = n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-820)*(6\/7)\/((184\/112)\/23)?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-7850)\/7065*(-864)\/(-15)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 3 k when four letters picked without replacement from {t: 3, k: 13}.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 + 6 + 12 - g**2 + 13 - 50 to y*g**2 + m*g + a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -14*q + 70. Let o be c(5). Sort o, 19, -1 in increasing order.\nAnswer: -1, o, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 39*y**3 + 23*y + 56. Calculate l(-2).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 21, 80, -63, -5.\nAnswer: -63, -5, -3, 21, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t**2 + 5*t**2 - 6 + 331.\nAnswer: t**2 + 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*x + g + 8, -3*g = 3*x - x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133 = 5*l - 2*m - 164, -2*l + m = -118. Calculate the smallest common multiple of 140 and l.\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -111 - -229. Suppose -i = -3*i - 2*l + a, -4*i - 2*l + 240 = 0. Let n = -298 - -311. Calculate the remainder when i is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d. Let u(w) = -3*w**2. Let n(p) = -139*p**2 - 580*p**2 + 255*p**2 - 449*p**2. Let q(f) = n(f) - 249*u(f). Determine j(q(i)).\nAnswer: -166*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 3, -14.092?\nAnswer: -14.092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85\/595 + 71\/(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 46764a5 (base 11) to base 15\nAnswer: ab3cb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1075 = -5*w - x, 5*x = 7*w - 2*w - 1045. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r**3 - 37*r**2 + 30*r + 201. Let y be f(-19). Let q(j) = -j**3 - 7*j**2 + 6*j - 6. Give q(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2181 + -2182. Let g = -0.51 - -0.01. Which is the fourth smallest value?  (a) -0.7  (b) r  (c) 0  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 5*l + 2. Let r be v(0). Suppose 5*b - 427 = -r*b. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + n + 1 - 4)*(6*n - 6*n + 5*n) as x*n + s + a*n**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, 0.2, -0.1, -0.06, 1 in ascending order.\nAnswer: -0.1, -0.06, 0.04, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 1 - 3)*(-w + 4*w - 5*w).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(1\/4))\/(n*n*n\/((n\/(n\/((n\/(n**(-3)\/n))\/n)))\/n)))**(-41)\/(n*n*n**1\/n*n*(n*(n**(3\/4)*n)\/n*n)\/n)**(4\/29) assuming n is positive.\nAnswer: n**(-3643\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/z**(2\/7)*z\/(z**(4\/13)*z))**(2\/73) assuming z is positive.\nAnswer: z**(256\/6643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*m = 153745 - 153680 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16 + -10. Let c be 4\/l - (-28)\/(-6). Let v(a) = -5*a - 6. Calculate the remainder when v(c) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -378*j = -265*j + 1695 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -92 + 184. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1a12 (base 13) to base 8\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0573 + 369.9427. Let k = -605 + s. Let v = -234.99817 - k. What is v rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 6 + 3)*(-4 + 2*f + 5*f - 3*f) + (2*f - 4*f + 3*f)*(45 - 50 + 30) as c + q*f and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q - 2*q + 3*q - 5*q + 9.\nAnswer: -2*q + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1702 + 3602 = 13*x. Suppose 3*u + 4*v = x, -129 = -u + 3*v - 2*v. Is 22 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*l**3 + 66*l**3 + 17*l - 5*l**2 + 4*l**2 - 34*l**3 + 5*l**4 - 7*l**4 to f*l**2 + c*l**3 + z + y*l + q*l**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-45)\/(-30))\/(6\/16). Suppose 0 = z + p*d - 10, 6*d - 4*d = 4. Let -18*i**2 + 32*i**z - 2*i**3 - 1 - 20*i**2 - 6*i - 1 = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2812 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*j + 23*j + 31 = -179 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -28, -23, -16, -7, 4?\n\"Answer: f**2 + 2*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/5, -1.7, 0.2, -0.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 38 = q, -q - 44 = -5*x - 4*q. Let t(n) = 8*n + 32 - 38 - x*n. Determine t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46994987953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.5  (b) -49.33  (c) 3  (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-33)\/(-88) + (-6)\/16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 23, 47, 87, 143, 215, 303, 407?\n\"Answer: 8*d**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7319 = -2*j + 3*i, 5*j - 6007 - 12231 = -i. Calculate the lowest common multiple of 890 and j.\nAnswer: 36490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -i + 2*k - 5, 15 = 3*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 2329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -5*l**2. Let a(f) = 6720*f. Give a(m(c)).\nAnswer: -33600*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121*s = 333*s + 2270. Let t(a) = 11*a + 2. Let i(h) = 1. Give s*i(w) + t(w).\nAnswer: 11*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(5 + sqrt(405)*-1) + -2)*5)**2.\nAnswer: -32400*sqrt(5) + 170100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + 10 - 5*m**3 + (5*m - 6*m + 5*m)*(m**2 - m**2 + 2*m**2) to the form l*m**3 + f*m**2 + d*m + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(w - 4*w - w)*(-2 + 6 - 2).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 8*z**2 + 65*z - 831. Let x be q(10). Solve -118 + x = 33*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {m: 9, q: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 632 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -305 (base 8) in base 7?\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 4*w. Let v = -97 - -96.8. What is the nearest to v in -2, -4\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-6) + (-1610)\/(-105). Solve -n = -2*z - 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/(-24)*(1 - 22). Is (218 - 1) + s + 9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 3*y - 294 = 0, 4*y - 15 = -y. What is the remainder when r is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + i + 6. Let m be (-4)\/((-12)\/9) + -3. Let g = -41 - -44. What is the least common multiple of g and q(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-3 + 14)) + -1 + -5 + -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 106 + -1164\/11. Let k(f) be the first derivative of v*f**2 - 2\/11*f**3 + 1\/22*f**4 + 0*f + 3. Factor k(x).\nAnswer: 2*x*(x - 2)*(x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 19 = -20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 54763 + -73?\nAnswer: 54670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 468, 428, 380, 336, 308, 308, 348, 440?\n\"Answer: 2*v**3 - 16*v**2 - 6*v + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 9, b: 5}. Give prob of sequence bbuu.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 - u**2 + u. Let r(k) = 3*k**3 - 3*k**2 + k + 2. Let j(o) = -r(o) + 2*v(o). Calculate j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*i + g + 27 = -71*i, 5*i + 15 = 2*g - 57 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32, 89, 204, 395, 680, 1077, 1604?\nAnswer: 2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of n**4\/12 - n**2\/2 - 11*n. Let t(p) = 8*p**2 - 12. What is 12*r(g) - t(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 456312 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/13990340 and 127\/630.\nAnswer: 125913060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50681, -93788, -136895?\nAnswer: -180002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -251 - -2261\/9. What is the third biggest value in 4, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 + 13*c**2 - 7*c - 25. Suppose 23 = 5*f - 2*t - 21, -4*t = -2*f + 8. What is the hundreds digit of k(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - 8 - 0 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 408 + 74. Let u = w + -310. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {l: 7, j: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.87 times -629?\nAnswer: 547.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 0*f - 3*f - 38 = 0, 5*f = 20. Suppose x - c + 0 = 0. What is the greatest common factor of x and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3\/9 + 224*m**2\/9 + 1430*m\/9 - 1652\/9.\nAnswer: -2*(m - 118)*(m - 1)*(m + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 9. What is the closest to -2 in -3, 5, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25728 and 8160.\nAnswer: 2186880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/9 + 16\/9. Let s = p + -1. What is the least common multiple of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of -x**7\/315 - 151*x**6\/540 + 17*x**5\/45 - 339*x**2. Let y(j) = 0. What is j?\nAnswer: -51, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 - 63*b + 1345. Give u(45).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 166 + -166. Let o(h) = h**2 - 13*h + 18. Let t be o(13). Let w(u) = -u**2 - 2*u + 2*u - u + 9 - t. Give w(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**2 + 621*l - 15147. Give t(23).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*i + 4*h - 146 = 0, -4*i - h + 218 - 301 = 2*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 100997256 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -537054127 divided by 2\nAnswer: -537054127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10024740 or -10024742?\nAnswer: -10024742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12696 is divided by 3127.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 34.75564mm?\nAnswer: 34755640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 26638.4996 to the nearest 10.\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of -h**4\/12 - 13*h**3\/6 + 17*h**2 - 10*h - 3. What are the prime factors of g(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30816 divided by -3\nAnswer: -10272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.08 - 0.96. Let o = -0.06 + y. Let n = o - -1. Which is the third smallest value?  (a) 5  (b) -2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/7))**(-1\/19) assuming w is positive.\nAnswer: w**(-1\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-2 - (-3 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/(-6))\/(1\/(-70)). Let v = i + 176\/5. Let q = 0.4 + 0. What is the closest to v in 2\/7, q, 2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -4*k**4\/5 + 16104*k**3 - 405699732*k**2\/5 + 971940816*k - 14570421264\/5 = 0?\nAnswer: 6, 10059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = -4*p + 23, -10916*p + 10909*p + 47 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25794 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nzzzknzkkmnzzbnmn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 376085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**3 - z**3 + 0*z**3)*(-5*z**2 - 16*z**2 - 114*z**2 + (3 - 3 + 2*z)*(z + z - 4*z)).\nAnswer: 417*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 12. Is (j - 12\/(-8))*94 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 424 - -4?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-589)\/95 - (-4 + -1))\/((-142)\/(-1775))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 49 and 823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 19 = -1. Let i = d + 7. Suppose i*u = 7*u - 8. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2*k**3 - 9*k**2 + 7*k + 6. Let r(w) = 3*w**3 + 8*w**2 - 6*w - 5. Calculate -5*m(d) - 6*r(d).\nAnswer: -8*d**3 - 3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wbprwpw. Give prob of sequence wbwr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2. Let a(i) = -73*i**2 - 2*i - 215. Calculate a(m(j)).\nAnswer: -73*j**4 - 2*j**2 - 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - 2*x + x)*(0*x - x + 3*x)*(3 - 2 + 0)*(930*x**2 + 444*x - 146*x - 2 - 297*x).\nAnswer: -3720*x**4 - 4*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -65*q**3 + 3*q**2 + 3. Let m(p) = 2924*p**3 - 136*p**2 - 136. Calculate 136*d(g) + 3*m(g).\nAnswer: -68*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1919 and -0.5.\nAnswer: -1919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -540032 (base 7) to base 6\nAnswer: -2001342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssszssssssssszssssss?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25 - -29.1. Let f = y + -4. Which is the nearest to -1?  (a) f  (b) -3\/2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 - 18*s**2 - 32*s + 10. Let r be f(-16). Which is smaller: 31\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70 - 16748\/(-371) - 168\/(-7)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + -1. Let s = t - -0.2. Is s at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w + 1. Let k(c) be the third derivative of c**4\/24 - c**3\/3 + 4*c**2. Let m be -2 + (-35)\/49 - (-10)\/(-35). Calculate m*z(i) - 2*k(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -293043*b**3 - 231396.\nAnswer: -879129*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 4 = 3*w. Let l = -2 - -4. Let j(k) = 0*k**l - 3*k**2 - 1 + 2*k**2. What is j(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7063, -56497, -190629, -451795, -882331?\nAnswer: -1524573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -42?  (a) -3  (b) -0.4  (c) -136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 61105553?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 109.5 or -87744?\nAnswer: -87744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -32, -92, -196, -356, -584, -892, -1292?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -110, -213, -314, -413, -510, -605?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-6)*-2 - (-13)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o**2 + 3*o - 3*o)*((0*o + 3*o - 4*o)*(2*o - 4*o + 11*o) + 0 + 0 - 3*o**2) to the form n*o**4 + p*o**2 + b + r*o**3 + m*o and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000293793 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -190*h*n - 104751050*h - 158886*n with respect to n.\nAnswer: -190*h - 158886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(245)*1*6)**2.\nAnswer: 35280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23218*h**2 + 12487*h - 1?\nAnswer: 46436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 121040941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5595 minus -3618?\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 + 2)\/((-40)\/(-35) - 1). Let j(d) = d**3 + 10*d + 3. Let b(s) be the second derivative of s**5\/20 + 7*s**3\/6 + s**2 - 2*s. Give y*b(n) + 5*j(n).\nAnswer: -2*n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5183885, 5183893, 5183901, 5183909, 5183917, 5183925?\n\"Answer: 8*c + 5183877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1680 by 204.\nAnswer: 140\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1093 or -13099\/12?\nAnswer: -13099\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -371.10375 - -371. What is r rounded to three dps?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -23. Calculate the remainder when 34 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*y - 77*y + 24*y - 600 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 928*r + 39906. Let v be p(-43). Let -14*a**v - 72\/5*a + 0 + 2\/5*a**3 = 0. Calculate a.\nAnswer: -1, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 3*v - j, v = -0*v - 5*j + 27. What is the highest common factor of 174 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-5\/4))**(-4\/7) assuming g is positive.\nAnswer: g**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3*i - 12 = 0, -5*w + 0*w - 3*i + 16 = 0. Find the first derivative of 2 - 3*p**2 + 2*p**w - 9 wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8184105029448 - 0.4.\nAnswer: 8184105029447.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*(-8)\/((-16)\/3)*31\/(-620).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mxxx when four letters picked without replacement from {m: 1, t: 3, q: 2, x: 5, d: 1}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7805.733 + -7809. What is m rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (267\/(-6))\/((-2)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 7691421.\nAnswer: 30765684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 848 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -3*c**2 + 1170*c - 114075 = 0.\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 354688 and 40.\nAnswer: 1773440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -794 - -8445?\nAnswer: 7651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -105 - -33. Let l = 73 + a. Let w(i) = 4*i**3 - 5*i**2. Let r(b) = -b**3 + b**2. Determine l*w(c) + 5*r(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 10 - 8. Suppose -5*o - t = 24. Let c(a) = -11*a + 7. List the prime factors of c(o).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 15030 and 10806?\nAnswer: 162414180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 PM and 1:06 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + -3. Suppose -2*z + 32 = -d + 3*d, -2*d - 3*z = -36. Suppose -p = c - d. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5514 (base 9) to base 5\nAnswer: -112223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x - 13. What is f(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2  (b) 2  (c) -29  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17862 and 158964?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 0. Let v = j - 2. Let p = 16 + -21. What is the closest to v in p, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*i + 25*i + 10 = 0, -5*j - 5*i = 30 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o - 2*o + 5*o)*(0*o**2 + o**2 + 0*o**2) + 6*o**3 + 242 - 242 + 3*o**2 + o**3 - 3*o**3 + 0*o**3.\nAnswer: 5*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((18\/90)\/(4\/8))\/((-55)\/50)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -240 + 244. Let r(v) be the third derivative of -1\/20*v**5 + 1\/40*v**6 + 0*v**4 + c*v**2 + 0*v**3 + 0*v + 0. Factor r(x).\nAnswer: 3*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1120 and 190384480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 2) + -6 - -1 - -2 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 92144, 92146, 92148, 92150, 92152?\n\"Answer: 2*m + 92142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 + 16*j**2 - 16*j + 19. Let u = 24 + -22. What is the least common multiple of -4 + (-3 - (-27 - u)) and k(15)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/25?  (a) 3  (b) 23  (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2276679173 to the power of 1\/2, to the nearest integer?\nAnswer: 47715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 - 9. Let y = 0 + k. Suppose 4*l - 3*x + 2*x - 26 = 0, 0 = -4*l + y*x + 34. Solve -3*g + 0*g + l = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -6 - (0 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 29, -146, -321, -496, -671?\n\"Answer: -175*i + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u + 33 - 33. Let f(b) be the third derivative of b**7\/1260 - b**4\/24 + b**2. Let m(n) be the second derivative of f(n). Give m(i(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbbbbbbbbtbtt. Give prob of picking 2 b.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zctzczztcz. Give prob of sequence ct.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, d: 2, a: 3, e: 2}. What is prob of sequence te?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by 75?\nAnswer: -7\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 28 - -101540?\nAnswer: 101568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -1 - 11 - 5*c - 3 + 17. Let v = -1 - 0. What is the units digit of b(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gm when two letters picked without replacement from jmuxgim?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 324112?\nAnswer: 2, 47, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/8)\/((-12)\/(-24))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -123 - -124. Let a(q) = 405*q**3 + 2*q**2 - q. What are the prime factors of a(m)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 125, 190, 233, 242, 205, 110?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -3*v**3 + 3015*v**2 + 6039*v + 3021 = 0?\nAnswer: -1, 1007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 20 = v + 44, 0 = 5*c - v + 46 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1250*r**4 - 144 wrt r.\nAnswer: -5000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2*z**3 + 4*z**2 - 3*z + 6. Let x(u) be the second derivative of -u**5\/4 + 11*u**4\/12 - 4*u**3\/3 + 17*u**2\/2 - 75*u. Determine 11*w(m) - 4*x(m).\nAnswer: -2*m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -49  (b) -0.3  (c) -3\/4  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3124623\/17 - 183801. Determine t, given that 0*t**2 - g*t**3 - 4\/17*t**4 + 2\/17*t + 0 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, b: 3, q: 3, f: 2, i: 3}. What is prob of picking 1 f and 2 p?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, -4970929, 4 in ascending order.\nAnswer: -4970929, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -766 + 1325. List the prime factors of d.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2323.23 years to decades.\nAnswer: 232.323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -353*f = -284*f - 759 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 10*v**2 + 8*v - 4. Let c be m(-9). Let n be 5 + -2 + c + 67. Let b = n - 43. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*u, -18*u + 15*u = 4*y - 158. Let p(z) = -z**3 + 39*z**2 - 20*z + 49. What are the prime factors of p(y)?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**2\/3 - 91876*z\/3 = 0.\nAnswer: 0, 91876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-272)\/(-12)*((-1)\/(28\/91) + (5 - -2)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6771, 1\/3, -4.253?\nAnswer: -4.253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**4 - 54990*q**3 - 54995*q**2.\nAnswer: 5*q**2*(q - 10999)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23966 divided by -6.\nAnswer: 11983\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in -1\/3, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4001, -15862, -35585, -63170, -98617, -141926?\n\"Answer: -3931*r**2 - 68*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 not equal to 21087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/((u\/(u\/(u\/u**43)))\/u*u)*u*(u\/((u\/(u*u**37*u))\/u))\/u*u*(u*u\/u**(1\/16))\/(u\/(u*(u**12\/u)\/u)) assuming u is positive.\nAnswer: u**(1535\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7615770 divided by 16378.\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, -14, -51, -124, -245?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-31)\/1147 - 28957\/(-851)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.10930009985 + 0.1093. What is j rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 0*f = 2*f + 5, -32 = -4*j - 4*f. Let u = 11 - j. Suppose 17 = -u*y + 9. Sort y, -5, 1 in ascending order.\nAnswer: -5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20339*w**3 + 42*w**4 - 3*w**2 - 20339*w**3 - w + (-2*w**3 + 2*w**3 - 2*w**3)*(5 + w - 5).\nAnswer: 40*w**4 - 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -48984*y + 48899*y - 60 + 825. Let c = -3 + 4. Put y, -1, c in decreasing order.\nAnswer: y, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -973, -1725, -2021, -1633, -333, 2107?\n\"Answer: 38*n**3 - 1018*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1455196342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/34032230 and -67\/22.\nAnswer: 374354530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -124411 + 0?\nAnswer: -124411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 - 12*n - 11. Let s be (-1)\/(-2) - (-322)\/(-28). Let o be g(s). Calculate the remainder when 13 is divided by 2 - (0 + o) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 122 and 100.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**3 - 4*l**2 - 7*l - 5. Let y be i(-5). Suppose -3*s = x - 155, -y = -2*x - 2*s + 122. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/22 + (-3597)\/(-847) + -5. Which is the closest to -2?  (a) 3\/2  (b) f  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -6, -2\/25, 4, 4\/3 in descending order.\nAnswer: 4, 4\/3, -2\/25, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 - 190*y + 1700.\nAnswer: 2*(y - 85)*(y - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 26*f - 483. Let v(l) = 9*l - 158. Let k(z) = 4*i(z) - 11*v(z). Give k(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of 9 + 6\/7*w - 2\/7*w**3 - 1\/14*w**4 + 1\/7*w**2. Solve h(d) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -4, 0.3, 0.5 in descending order.\nAnswer: 0.5, 0.3, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/2  (b) 0  (c) -0.3  (d) 2755\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/(h\/h**1)*h))**40\/((h\/h**6)\/h**(-2\/17)))\/((h**7*h)\/(h**(1\/4)\/h))**37 assuming h is positive.\nAnswer: h**(-24403\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 8 = 198. Suppose -106*v = -107*v + q. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 517, 4, -1484, 5, -4 in decreasing order.\nAnswer: 517, 5, 4, 0, -4, -1484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 329.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + (-2194590)\/(-109200) - (-64)\/(-2912)?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 43 + -43. Let g be -5 + 3 + w - -6 - -2. What is the third derivative of -12*h**2 - 2 + 5*h**2 + 47*h**g + 0 - 2*h**2 wrt h?\nAnswer: 5640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5 + 81\/18)*-4 + -744. Is -741 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and -0.2595967197.\nAnswer: -0.1595967197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*r = -33*r + 530. Suppose 0 = 2*j + 1 - r. Let l = j - 77. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 15 = 0, -3*f + 38 + 70 = -j. Let h = 10 + f. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(15)*4 + sqrt(15)))\/(sqrt(27)\/(sqrt(54)\/sqrt(6))).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3912, -7806, -11700?\n\"Answer: -3894*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 185?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.5 and 34.8.\nAnswer: 35.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 1\/3, 0.4, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -6552 equal to -19654\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p. Suppose -2*y = -0*y - 8. Determine x(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(567) + -1 + sqrt(567) + 5 + sqrt(567)))**2.\nAnswer: 7776*sqrt(7) + 184284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 - 6)*(-5*q**2 + 2*q**2 + 2*q**2) + (2 + 0 - 2*q + 3*q)*(-22 - 4*q + 22)*(4 - 4 - 2) in the form p*q + c*q**2 + z and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - ((57 - 52) + -5 + -83)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/20 - (-92)\/920. Let u(g) be the first derivative of 0*g**2 - 7*g**3 + 0*g + r*g**5 + 0*g**4 + 3. Find the third derivative of u(h) wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2577\/649 - 186\/59. What is the closest to g in 3, -0.3, 0.02, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v + 3. Let t be f(-6). Suppose 5*u + 40 = t*u. Suppose -48 = -2*y - u. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n - 2. Determine w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of 7*d**5\/60 + d**4\/4 + 9*d**2. What is the second derivative of n(w) wrt w?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/5  (b) -15  (c) 64  (d) -1.1  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15293 and 14174.\nAnswer: 581134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(405) + 4 + 0 + (sqrt(405) - (sqrt(405) + -4)*-3))**2 + -1.\nAnswer: -990*sqrt(5) + 10245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 23*r. Let o(s) = 9*s + 0*s - 7*s - 8*s + 7*s. Give o(q(v)).\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 2:38 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/((r\/r**17*r*r*r)\/r)))\/(r**10*r) assuming r is positive.\nAnswer: r**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 2, -6 in ascending order.\nAnswer: -14, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (63648\/351)\/(-136) + (-5 - 0) + (-4)\/(-2).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 336 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 4) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b + 2*b - 4 + 0 - 1. Let y be m(5). Is 1\/2 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -20.09 less than 227530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 8*t**2 + 3*t. Let c(i) = -88*i**2 - 32*i. Calculate 3*c(m) + 32*u(m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (-3 + 5)) + (5 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nsm when three letters picked without replacement from {n: 1, h: 4, m: 6, i: 6, s: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 636*p*s*w + p*s - 351530632*p*w - 82314*s wrt s.\nAnswer: 636*p*w + p - 82314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 - 1. Let y(a) = -4*a**2 + 5*a + 2. Let d(c) = -c**3 - 5*c**2 - 5*c - 7. Let n be d(-4). Let x(p) = n*h(p) + y(p). Determine x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(112) + -2 + (sqrt(112) - sqrt(112)*-1))*2*1)**2*-4 + -2.\nAnswer: -145730 + 6912*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - 8*q + 74. Calculate the remainder when g(0) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -7*p + 5*p + 8*p + 1. Let v(c) = -7*c - 1. Let n = -111 + 131. Suppose -5*k - 4*j + 3 + n = 0, -4*k + 14 = j. What is k*v(a) + 4*i(a)?\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 747932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 7) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -5 - (-1 + (0 - 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -3  (c) -8  (d) -625  (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 21*p**3 + 13*p - 4. Let k(x) = 5*x**3 + 3*x - 1. Let u = 102 + -111. Give u*k(r) + 2*s(r).\nAnswer: -3*r**3 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -11 and 169.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**2 - 2*m + 7. Let s be y(-3). Solve -4*z = 5*a - 28, 0 = -2*z + s - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 995870546?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z + 20*z - 10 = 0. Suppose -z*t + t + 1516 = 5*b, -6*b = 4*t - 6078. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ckkc when four letters picked without replacement from cccckckkcckccccccc?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 12:33 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-5)\/(x\/x**(9\/7))*x\/x**(-4\/13)*x**7*x assuming x is positive.\nAnswer: x**(418\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that d**4\/8 - 13*d**3\/8 - 5*d**2\/2 + 21*d\/2 = 0.\nAnswer: -3, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*m - 12*m + 38*m**2 + 5*m)*(676*m - 241*m + 79*m) in the form w + r*m + v*m**2 + b*m**3 and give b.\nAnswer: 19532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7963, -15907, -23851?\nAnswer: -31795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 40.4  (c) -1  (d) 1\/2  (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 4*z - 4. Let l be i(2). Solve l*h + 23 = -2*d - 7, 0 = -h + d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of -3*p**5\/20 - 3*p**4\/4 - p**3 + p**2\/2 - 2*p. Let k = 368 + -375. Is s(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 2*o = 14, -3*o - 12 = -j + 1. What is the smallest common multiple of 34 and 780\/35 - j\/14?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -72678730*q**3*w**3 + 91330955*w**3 wrt q.\nAnswer: -218036190*q**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2140)\/(-25)*(3 + -5 + 7). Let q = 2\/217 + 412\/2387. Find the common denominator of t\/18*(-6)\/(-32)*-4 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.67 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x**2 - 3*x - 3. Let h(a) = -a**3 + 6*a**2 - 8*a - 8. Suppose 188*i + 125 = -439. Give i*h(l) + 8*n(l).\nAnswer: 3*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*t + 1600 = -39*t. Calculate the highest common divisor of 64 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -181.2 + 181.200069053. Round g to seven decimal places.\nAnswer: 0.0000691","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 + 4085499\nAnswer: 4085498.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -75 at most 2\/1107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence taww when four letters picked without replacement from {a: 1, t: 5, g: 1, w: 5}.\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000001011111 (base 2) in base 11?\nAnswer: -3170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-4) + 0 - 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10487 - -0.37878882.\nAnswer: -10486.62121118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + -45 + 45 - -28.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1950042317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/11?  (a) -21  (b) 5\/6  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2. Let i(p) = -520 - 346 - 6 - 435 - p + 72. Calculate g(i(l)).\nAnswer: l**2 + 2470*l + 1525225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 450*y + 8996. Let h(v) = -300*v - 6008. Let s(j) = 7*h(j) + 5*w(j). What is the first derivative of s(l) wrt l?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35937*r**2 + 0*r**3 - 24 - 2*r**3 + 15600*r**2 - 25721*r**2.\nAnswer: -2*r**3 - 46058*r**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 - 52*a + 1923. Let h be p(25). What is the third biggest value in h, 6, 3, -16?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - -3. Let j = m - -2. Suppose 13*n - j*n - 4 = 0. Solve 9 - 7 = -n*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.49114375 minus 5?\nAnswer: 20.49114375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*(-10)\/(-175)*20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/2?  (a) -3  (b) -4  (c) 4\/9  (d) 1171  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.649 + 2.351. Put z, 103, 0.4, 4, 3 in ascending order.\nAnswer: 0.4, 3, 4, z, 103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 4*y = 0, -5*y - 36 = -4*n + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -106*h + 12*h + 205329 - 205329 + 2*h**2.\nAnswer: 2*h**2 - 94*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from kkmkljmjslsjmkk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 155, -12, 4 in decreasing order.\nAnswer: 155, 4, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 13*c + 51. Determine o(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11465, 92073, 310923, 737117, 1439757?\nAnswer: 2487945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 528 - 525. Calculate the common denominator of 366\/4*2\/24 and 14\/(-28) + (b - (-442)\/(-300)).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 319 - 339 - ((-2 - -1) + (-2 - -5))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 93\/124*(-8)\/102.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 + 305*t + 5984. Calculate f(-21).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**4 - s - 4*s**2 + 2 + 7*s**2 - 4*s - 12*s**3 + 13*s**3.\nAnswer: -(s - 1)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10020220000 (base 3) to base 12.\nAnswer: -310b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178619.\nAnswer: 7, 17, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/60406 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u + 16*u + 31 - 109*u**2 - 31.\nAnswer: -109*u**2 + 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 g, and 1 n when three letters picked without replacement from {g: 1, h: 4, n: 3, y: 5, e: 5}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6374411569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 123268 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 47*k - 253 - 405 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 880 and 19525.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -139\/5 + 27. Calculate the common denominator of 24\/115 and u.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v + 1929 = 9307. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 + 0*a**2 + a**2)*(-a + 4*a - 4*a)*(37 + 33 + 17).\nAnswer: -174*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6108743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.337101 rounded to three decimal places?\nAnswer: 0.337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of k**5\/10 - k**4\/2 + 7*k**3\/3 - 52*k**2 - 210*k. Is 4 a factor of x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1\/106278?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/10)\/(t*t*t**(3\/4)))\/(t**(2\/7))**8 assuming t is positive.\nAnswer: t**(-719\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1710?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*w**2 + 4*w**2 + 3*w**2 + (w**2 - 4*w + 4*w)*(5 - 1 - 2) + (0*w + w + w)*(2*w + 0*w - 4*w) to u*w**2 + d*w + b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 6*t + 3. Let o(u) = -2*u**2 - 8*u - 4. Determine 4*o(v) + 5*s(v).\nAnswer: -3*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 0, -2\/2663, -27\/5, 0.2, -1\/14?\nAnswer: -2\/2663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 + 4*j - 5. Let n be w(-5). Suppose 4*z - i - 77 = n, 2*z - 5 = -2*i + 21. What is the least common multiple of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2410\/23 or -106?\nAnswer: -2410\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(245)*1)**2 + -5) + ((2*sqrt(245) + 4)**2 - (-1 + sqrt(245))**2*1) + -5.\nAnswer: -455 + 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.23348 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 52 = -3*q. Let k be (-130)\/(-30)*(-3 + 0). Let o = -7 - k. What is the remainder when q is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 51*c - 2. Suppose -2*l + 28 = -4*n, -4*l - 168 = 4*n - 152. What is u(l)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - 19*w**2 - 79*w + 92. Give o(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2440*k + 9*k**4 - 40288 + 80568 - 40280 + 116*k**3 wrt k.\nAnswer: 108*k**2 + 696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 2. Suppose m*u - 110 = u. Calculate the remainder when u is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3528185*c**3*r - 3*c*r**3 + 2*r**3 + 39037*r**2 + 22*r - 2 wrt c?\nAnswer: -10584555*c**2*r - 3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 2 - 2 - (3 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -103700*x**2 - 464099*x wrt x?\nAnswer: -207400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 + 7*a**2 - 3*a - 7. Let r be i(-6). Let z = -45 + r. Suppose -p + 3*p + 3*n = 686, -3*p + z*n = -1003. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 29 = -4*l + 7*l, 4*l + a = -34. Let d(s) = s + 20. What is d(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i + 5. Let v be f(-5). Suppose -41*a = -60*a + 494. Suppose 5*u = -11 + a. Solve 2*r - 3*z = 0, v = 4*r - 7*z + u*z - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 4, 0.1, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 307573567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 7*t**2 - 722*t + 1. Let r(c) = 28*c**2. Give q(r(k)).\nAnswer: 5488*k**4 - 20216*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 6*y = 4. Let w be (-1)\/((-5)\/(-90)*y). Solve -2 = i + 2*u, 5*u = 5*i - w - 26 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5891 is divided by 107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25678556?\nAnswer: 2, 197, 32587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99*t**2 + 281*t**2 - 177*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - (16 - 13)) + -6 + 18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.1 + 1.1. Suppose 3863*y = 3853*y + 10. Sort 0.6, 2, y, q.\nAnswer: q, 0.6, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.28 * 8\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22 or 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n + 24. Let q be x(-11). Let r = 1 - 1. Let u(j) = q*j + 3 - j + r*j. Determine u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13776 is divided by 42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 670.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 341600, 683199, 1024798, 1366397?\nAnswer: 1707996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 7, h: 5}. What is prob of picking 2 s?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, -5, 3, -1, 10, 0.01 in ascending order.\nAnswer: -5, -1, 0.01, 3, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x - 17. Let z(b) = -b + 12. What is -5*g(j) - 6*z(j)?\nAnswer: j + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1594 - -1973. Calculate the remainder when j is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.2  (b) 618  (c) 325\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.5, -1, -2382\/187 in increasing order.\nAnswer: -2382\/187, -1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2618.99 + -2619. Let f be 0*-2*(-2)\/4. Which is the nearest to f?  (a) -3  (b) 5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2493*b**5 + 702*b + 550*b**5 + b**4 - 2 - 7 + 9 wrt b?\nAnswer: -38860*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of j**5\/20 + 2*j**4\/3 + 4*j**3\/3 + 4*j**2 + 10*j. Let c be q(-7). Solve y - c = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 9*i - 3. Let j be d(7). Suppose -j + 51 = 4*g. What is the remainder when 58 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -650d + -5?\nAnswer: -6514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4, 0.4, -6\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 791 = -109*w + 112*w, 147 = u - 5*w. What is the remainder when 195 is divided by u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2514252 and 112606?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44, 1, -5, -83, 4, -2.\nAnswer: -83, -44, -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 5*h**3 + 7*h**2 - 7*h + 9. Let t(k) = k**3 - k + 1. Let m(b) = -s(b) + 6*t(b). Let f = 754 - 747. Determine m(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 1 + 6 = 0. Which is the fourth biggest value?  (a) 3  (b) k  (c) -4  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2\/7 + 162*x\/7 + 48.\nAnswer: -3*(x - 56)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/6 and -59\/742.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-30))\/((-6)\/120*-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33 and -59\/255535.\nAnswer: 255535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1361384490 by -1.\nAnswer: 1361384490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 168861.7 rounded to the nearest one hundred?\nAnswer: 168900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.75990457 + -35455.6.\nAnswer: -35449.84009543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 37 in -278, 0.5, -22, -0.4, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*s + 50*s - m = 3, -3*m + 3 = 5*s. Let c(z) = 11*z**3 + 2*z**2 - 2*z + 3. Let d(v) = -23*v**3 - 4*v**2 + 4*v - 6. Give s*d(k) - 7*c(k).\nAnswer: -8*k**3 - 2*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 4) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000004460517194 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 284735 is divided by 94515.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 107223.3 from -313310.\nAnswer: -420533.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from {o: 1, v: 1, s: 1, q: 2, e: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3801 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28763 by -7.\nAnswer: 4109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1034 and 10054.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/59 and ((-610)\/105 - -6)\/(6\/(-203))?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*n - 153*n - 53*n)*(n + 2*n + 2*n)*(-3 + 4 - 3) in the form v*n + j + w*n**2 and give w.\nAnswer: 2100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - 3 + 3)*(3 - 4 - 4)*(d - d + 2*d**2) - 2*d**3 - 5 + 5.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 5, g: 8, v: 2, y: 2}. Give prob of sequence cc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 2692?\nAnswer: 5384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 + 0*u**2 - 3*u**2)*(467*u + 415*u - 880*u - 933*u - 864*u).\nAnswer: 1795*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.15 in 1, 1\/7, -7, 7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13107 - -12559.9. Let z = o - -464. What is z rounded to the nearest integer?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 92782 and 1345339?\nAnswer: 2690678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11850 + -17365.08.\nAnswer: -5515.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -81e98e (base 15) to base 8.\nAnswer: -27434472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of 0*y**2 + 2\/3*y**3 + 0*y**5 + 0*y - 7\/6*y**6 + 0*y**4 - 7. What is the third derivative of h(b) wrt b?\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 192 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18949 is divided by 4734?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2248 - -0.1648. What is the fifth biggest value in 0.3, q, -23, -3, -2\/17?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 + 1 - 3)*(-3*k + 2*k + 4*k) - 2*k + 3*k + k + (3*k + 2*k - 2*k)*(1 + 8 - 5))*(-3 + 3 - 23) in the form s + q*k and give q.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - -2 - (3 + -21) - 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 559109 is divided by 279552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/18 - 13*(-6888)\/4914.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -315 + 244.4. Let a = y - -71. What is the nearest to 1 in a, 14, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -2*b + 4*m, 40*b = 44*b - 2*m + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3861170 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = 0, 7 - 9 = -2*w - 5*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-66)\/(-88) - 178\/(-16)*90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 3*a**2 + 16*a + 11. Calculate s(-7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 76*h + 11*h**3 + 8 + 4*h**2 - 76*h. Let f(s) = -11*s**3 - 3*s**2 - 7. Let c(v) = -4*f(v) - 3*y(v). What is the derivative of c(u) wrt u?\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 36 + 21 = 5*m, -3*m = 2*w + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 125*n + 201. What is k(-1)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-31)\/(-2))\/(2\/(-4)). Let d = 58 + v. Suppose i + 3 = 4*i, -2*m - 3*i = -d. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*n - 10*n - 5*n**2)*(1 + n - 1)*(-6*n - 4*n + 0*n).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 55*g - 2 + 0 + 2*g**2 + 65*g + 14*g as f*g**2 + q + l*g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 104\/160 - 10\/8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 332055*b**2 + 1406424*b.\nAnswer: 664110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a938 (base 14) in base 6?\nAnswer: 2135050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 3*f**2 + 7*f - 3. Let a be v(-3). What is the hundreds digit of (-3)\/(-12) - (12015\/(-12))\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27 - 7. Let f be -5 - (0 + -3)\/((-9)\/24). Let y = u + f. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1165\/7 + 166. Let o be 3\/1*(-6)\/(-396)*22. Put x, o, 2, 1.1 in decreasing order.\nAnswer: 2, 1.1, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-7 - -5) + (-6)\/(-2). Let y be 7 - (2 - j - -2). Solve 2*a = -3*n + 10, a = y*a - 3*n - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -602 - -602.0315. Round j to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*c = 57*c - 72 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -u**7\/30 + u**3\/6 - u**2 - 5*u. Let w(c) be the first derivative of g(c). What is the derivative of w(s) wrt s?\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 2 + 10 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a927 - -2a?\nAnswer: 1a953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*52\/44 + (-8)\/44. Suppose 2*a - 12 = -a. Is (j + 0)*(391 + a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 46090.76 seconds?\nAnswer: 46090760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -3*p**3 - 5*p. Let i(u) = -u**3 + u + 5. Let s(w) = w**3 - 3. Let b(g) = -3*i(g) - 5*s(g). What is 8*b(v) - 5*t(v)?\nAnswer: -v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96 = -33*n + 65 - 62 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-462)\/63*-1*(-22)\/(-33)?\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 218*t - 227 = 186 + 23 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 25 = 5. What is the greatest common factor of 10 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-2))\/((-1572)\/(-59736))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17333\/3 - 5797. What is the common denominator of 163\/450 and z?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = x + 2633, 2*g - 9905 = 5*x + 3300. Let p = -15965\/6 - x. Find the common denominator of 18\/3*(-10)\/44 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 116*(-8)\/80*-110. Calculate the highest common divisor of 44 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -123 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -51.0103 and -91.\nAnswer: 4641.9373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 10 - 8 - 47*b**2 + 11483*b - 5 - 11481*b in the form w*b + m*b**2 + a and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 735065 (base 9) to base 14\nAnswer: b5230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = -5*k - 90. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 - 11371*x + 45479. Determine u(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(55)\/((sqrt(60)*2)\/sqrt(12)) + -4 - ((sqrt(11) - -4*sqrt(66)\/sqrt(6)) + (sqrt(66)*-3)\/sqrt(6))))*-1.\nAnswer: 3*sqrt(11)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**2 + 21061973 - 21061973.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u - 4. Let t be a(-4). Let o = -5 + 8. Let v be 9\/3 + 1 + -3. Sort v, t, o.\nAnswer: t, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 + 14*g. Let r(t) = -20*t - 16*t - 16*t + 53*t. Determine z(r(u)).\nAnswer: -u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10440 and 68382?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o - 1. Determine f(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*m + 912 + 980 = 1113 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 + 1)\/1 + 99 + -4. Suppose 0 = m - 2*h + 51, -94 = 4*m - 4*h + k. Let i = 46 + m. Calculate the least common multiple of 7 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 - 3*j - 24. Let o be p(-9). Let q(g) = g**2 + 5*g + 8. Let v be q(-6). What is the highest common factor of v and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1399152 and 8220018?\nAnswer: 65760144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -213*t - 290*t + 75*t - 268*t.\nAnswer: -696*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 9*f - 5. Let j(y) = -4 + 1 - 2*y + 7*y. Let o(v) = 3*g(v) - 5*j(v). Let c(x) = 2*x. Give o(c(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llelllelll. Give prob of sequence leel.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16*y - 64 - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h**3 + 22*h**3 + h**3.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j + 7*j**3 + 3*j + 2*j**3 - 3*j**2 + 15 - 10*j**3. Let h be d(-3). Solve 2*g + h*i - 2 = -i, -3*g + 3*i = -21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 8*o**3 + 2*o - 1. Let j = -3 - -4. Let d be h(j). Suppose 2*c - 4*i + d = 33, 5*c - 8 = -3*i. Solve -c*q + 10 = -6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (15 - (0 + 3)) - -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 12:37 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 55\/(-572)*26*1\/355*-4\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p - 10. Let t = 10 + -15. Let c be r(t). Let v = c + 15. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 + 16*b + 39. Let i be w(18). Suppose -77 = -i*m - 20. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 245236*-0.2\nAnswer: -49047.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2472 by -824.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 3) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lnjjljnlnjjl. What is prob of sequence nnn?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 14, 113, 328, 701, 1274, 2089, 3188?\n\"Answer: 7*z**3 + 16*z**2 + 2*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 24 = -91. Let p = -24119 - -24188. Calculate the highest common divisor of o and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*k, 0 = 2*i + 3*k - 10 + 12. Solve -2*x = 3*f - i, 0 = -4*f + 2*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -3*m - 7. Suppose 10 = 5*l + 2*h, 6*l + 4 = 2*l - m*h. Solve -4*t + 7*t = -3*c - 18, -l*t = -2*c + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14453 + -40635?\nAnswer: -55188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/1498 and -121\/7704.\nAnswer: 53928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1 - 93\/6)*(-66)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 12*x - 133. Let s = 190 - 178. Let p be y(s). Solve 16 = i + p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16126, 3, 2\/7, -1\/6, -0.2 in ascending order.\nAnswer: -16126, -0.2, -1\/6, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -7*k**2 + 0*k - 9*k + 3*k - 22*k**3 + 23*k**3 + 13. What are the prime factors of u(11)?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 131 and 10.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by -460\nAnswer: 9\/460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 0*n = 2*n + 22, -3*w - 2*n = -20. Suppose r = w*r - 55. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -157495\/22 + 7155. Calculate the common denominator of -1*2 + 171\/12 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -31997.439 to the nearest integer.\nAnswer: -31997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*m - 3 + 3)*(0 + 0 - 2) + m - 7*m + 9*m)*(3 + 0 - 4).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33661 - -100981\/3. Let h(v) = v - 3. Let l be h(5). Let w = l - 3. Does w = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3  (b) -255.2478  (c) -0.3  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2325045 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fwwwwwfw. Give prob of picking 2 w and 2 f.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 190721 and 33323?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 11) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -10*i + 13*i**2 - 3*i**2 - i**2 - 22 + 4 - 10*i**2. Give y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 1:55 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 a factor of 666880511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -8*d + 3*d - 2437, -3*s - 3*d + 1848 = 0. List the prime factors of s.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of -t**5\/60 + 5*t**4\/24 - t**3\/6 + t**2. Let j be a(4). Suppose 2*d - 172 = -3*b, j*b = 2*b + 2. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/33*(-13)\/((-1638)\/(-108)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zdhd when four letters picked without replacement from {d: 2, h: 2, a: 1, r: 4, z: 1}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1667027.\nAnswer: 67, 139, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 685878200.\nAnswer: 2, 5, 7, 489913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of 52*s - 54 + 15*s**3 + 1\/2*s**4 + 0*s**2. What is the derivative of p(a) wrt a?\nAnswer: 6*a**2 + 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 10*d**3 + 7*d**2 + 3*d - 13. Let l(w) = 27*w**3 + 21*w**2 + 9*w - 39. Let p(o) = 3*l(o) - 8*m(o). Let q be p(-6). Solve -q = 6*z - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**3 + 284*q**2 + 44. What is p(-142)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76 = 2*u + 162 - 68, 4*u = 4*s - 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8*13\/(-416))\/(2\/56).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/3*r**2 - 2\/3*r + 0 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, 1077, 21\/2, -2\/5.\nAnswer: -2\/5, 21\/2, 25, 1077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.84, 0.11, -4, 0 in decreasing order.\nAnswer: 0.84, 0.11, 0, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -21*j**4 - 36*j**3 - 19*j**2 + j. Let b(t) = 20*t**4 + 36*t**3 + 20*t**2. Let g(a) = 5*b(a) + 4*w(a). Determine v, given that g(v) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53705 divided by -115?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of -p**6\/360 + p**4\/8 - p**2. Let q(c) be the second derivative of l(c). Let a(s) = 7*s**2. Calculate a(q(b)).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2805 a factor of 160150363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8 + 1025?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -216482*g**3 - 2397752*g**2 - 2391978*g - 626580 = 0.\nAnswer: -10, -177\/329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/12 in -13.6, 0.3, 65, -0.5, 3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -383 or -384?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z. Let w(k) = -263460*k**2 - 41. Calculate w(f(o)).\nAnswer: -263460*o**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 4*l**2 + 4*l - 2. What is the remainder when 3 is divided by v(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 3*j)*(-2*j + j + 2*j) + (7*j - 3*j - 2*j)*(1 - 7 + 2)*(9*j + 3*j + j) to the form h*j**2 + l*j + n and give h.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of s**5\/10 + 5*s**4\/12 - 3*s. What is the third derivative of c(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 4*b**2 + 6*b + 1. Let d be p(5). Suppose d*r = 2*r + 128. Suppose -4*o - 24 = -4*s, -r - 18 = -5*s - 5*o. Solve -i - i + s = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 1029*m + 43218. Calculate j(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.2 + -9.2. Let w = u + 8.4. What is the second smallest value in 3, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 276215 is divided by 492.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21 or 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - j = 4*s - 0*j + 29, -2*j - 517 = -19*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -4*n - 0*a + 2*a - 0*a, 2*a - 8 = 4*n - 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 170\/19 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 2 = -0*g. What are the prime factors of (-59 + 12)\/((-1)\/g)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/74 and -9\/2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*w - 25 - 10. Let n(p) = -8*p - 36. Let r be n(w). Solve -31 = 3*o - r*g, 5*o + 3*g + 29 = 4*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.3 + 4.2. Which is the closest to i?  (a) -0.5  (b) 0  (c) -5  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -813.9 and 3938.6319?\nAnswer: 4752.5319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1550 and 70525?\nAnswer: 141050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = 3*i - 21. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 3*k**3 - 13*k**2 + 2*k - 29. What are the prime factors of n(7)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -11*t. Let d(r) = -2*r. Let a(q) = -2*d(q) + n(q). Let g(x) = -46*x + 1. Calculate a(g(c)).\nAnswer: 322*c - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 79481708 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 17 - 460 = -2*c, 2*j + 1102 = 5*c. What is the highest common factor of 330 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 293513 by -3.\nAnswer: -293513\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 33 = -5*j, 0*j + 3*j + 4*h - 7 = 0. Suppose 7953 = j*n - 1297. Let k = -69 + n. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - 1 + 1)*(2*w**2 - 1 + 1)*(-1 + 2*w + 1)*(20 - 20 - 6*w).\nAnswer: -72*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4494 - 4496. Which is the nearest to 0?  (a) m  (b) -0.3  (c) -1\/4  (d) 0.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1267254213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-70))\/(1656\/(-4140))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 968 + -962. Solve h*i - 4 = -16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 12:28 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1789, -5, 5, -3 in increasing order.\nAnswer: -5, -3, 5, 1789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/1040 and 63\/10.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -14*k - 1. Let a(t) = -9*t - 1. Let v(h) = -8*a(h) + 5*y(h). Let c be (-2)\/4 - (-6)\/(-4). Determine v(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 2*y**2 - 7*y - 4. Give u(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -217, -178, -139?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*(((n*n*n**(-7\/2)\/n*n)\/n)\/n)\/n*n**9)\/(n**(-1\/3)*n**1\/n) assuming n is positive.\nAnswer: n**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 218437, 218436, 218425, 218398, 218349?\nAnswer: 218272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + -1. Let i be m\/1 + (9 - 2). Suppose -3*u = -i*u + 51. Solve -2*j - u = j + 2*z, 3*z = j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2006268 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 5034, 21372, 49016, 87966, 138222, 199784, 272652?\n\"Answer: 5653*i**2 - 621*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32 - 18 - 2*c + 4*c + 20 to r*c + g and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-385)\/385*(-1)\/17.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 675 and 1877250?\nAnswer: 16895250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from svvsvvsvvvsssssssss. Give prob of picking 3 v and 1 s.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7319 (base 15) to base 14.\nAnswer: 8c16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4422 - 2768. What is the remainder when r is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -339*l - 231. What are the prime factors of i(-14)?\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*h + 12*h = -8. Let i(m) = -m**3 + 9*m**2 - 5*m - 9. Is 15 a factor of i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*l + 24*l + 23*l - 69*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*u + 0*u + u + (-1 - 2 + 4)*(2 + 2*u - 2) + (-2*u + 6*u - 3*u)*(1 - 2 + 41) to the form p + j*u and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 76 + -78. Let x(m) = 2*m**2 + 2*m - 2. Let z be x(p). Let a be z - 5*10\/25. Sort -26, -5, 2, a in descending order.\nAnswer: 2, a, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 37*b**3 - 36*b + 7. Let s(y) = -25*y**3 + 24*y - 5. Let a(o) = -5*c(o) - 7*s(o). Find the second derivative of a(f) wrt f.\nAnswer: -60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1527338\/5 equal to -305467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20732*a - 62067*a + 20660*a + 20684*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 4*z + 36 - 519 = 0, -4*f = 4*z - 372. What is the greatest common factor of 15 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2923599419 to the nearest integer?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q + 11. Let w = 16 + -8. Let f be x(w). Suppose -4*n = n - 5*a - 75, -5*n + 4*a + 72 = 0. Solve 3*z = -f*i - n, -5*i - 4 = 2*z + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 190 - 138. What is the remainder when o is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 + -19. Are u and -1\/12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3\/4*(-160)\/(-24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*q = 29, 6*o = 3*o - 2*q + 95. Let c(l) = l**2 - 8*l + 1. Let y be c(6). What is the remainder when o is divided by 9 - 10 - (-1 + y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14)\/21 + (-56)\/6. What is the units digit of (-19)\/(-1) + (-10 - w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -182*z + 13109. Let o be k(72). Suppose 0 = 3*l + l - 4. Solve -f - 19 = -o*b - 3*f, b = 2*f - l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z - 3. Let x be f(8). Suppose -3*y + 6 = -x*y. Let b be 8\/(-12) - 8\/y. Sort 1, b, -5.\nAnswer: -5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002409822 rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6888318 a multiple of 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (165\/(-550))\/(84\/10). Which is the second biggest value?  (a) y  (b) 1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xeexeeemmxmemmmxexme. What is prob of sequence xxx?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 269 = -2*q, 5*r + 214 + 188 = -3*q. Let u = -136 - q. Solve 0 = 4*d, 2*k - 6*d = -u*d - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4*y**3 - 2*y**2 + y - 2. Let d be z(2). Let h(n) = n - 2. Let q be h(4). Let k = d - q. What is the least common multiple of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of 3*b**5\/20 - 5*b**4\/2 + 23*b**3\/2 - 21*b**2 - 947*b. Factor s(a).\nAnswer: 3*(a - 7)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 3*l**2 + 35*l - 300. What is the remainder when 1087 is divided by b(-11)?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 4, 5*k + 3 + 2 = 5*v. Suppose -12 - k = -d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 181 - 98. Suppose 2*m - j = s, -158 = -5*m + 2*s + 50. What is the greatest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/2 of a meter in centimeters?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1806801732 - 30.114.\nAnswer: -1806801762.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -5*v**2 + 7. Let i(s) = -14*s**2 + 21. Determine 6*i(h) - 17*n(h).\nAnswer: h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s**2 - 4*s + 3. Let r be u(2). Suppose 2*k - 5*o - 65 = -r*k, -k - 5*o + 31 = 0. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2998, 6014, 9030, 12046?\n\"Answer: 3016*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of 4*t**3\/3 + 16. Let c(u) = 9*u**2. What is f(c(b))?\nAnswer: 324*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 = -5*p - 28. Let i = p - -11. Let y(t) be the third derivative of t**6\/120 + t**5\/12 + t**4\/12 - t**3\/2 + 2*t**2. Give y(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*(2\/8 - (-6354)\/216). Let t = c + -81. Suppose -7 = -5*z + 3. Which is bigger: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 3*p - 4*p - 2 + 3 - 4. Let o be d(-5). Find the second derivative of 4*n + o*n - n + 3*n**3 - 3*n wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*p + 373 - 298 = 0. Solve 0 = -2*j - p - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.062 - 0.162. What is the biggest value in -1\/5, 2\/77, v?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3443.956 - 3444. Put 89\/3, 2\/3, u in decreasing order.\nAnswer: 89\/3, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 130*j**3 - j**2 + 2*j - 1. Let k be f(1). Let p = k + -30. Let a = -46 + p. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 0 + 6 + 0 - 1 - 1 + (-1 - 2 + 2)*(2 - 2 + 1) + 4 + 0 + 0)*(-4*b**2 + 2*b**2 + b**2)*(-1 - 2 + 0) as o*b + j*b**2 + z and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -2*z + 20, 0 = -5*z + 2*g + 11 + 27. Let t be (z*6\/72)\/(1\/(-2)). Let w = 0 + -2. Which is the closest to 2?  (a) w  (b) -1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 422418 and 6.\nAnswer: 422418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 + o + 1. Let g(p) = 3*p**3 + 2*p**3 - 6*p**3 + 3*p**2 + 155 + 5*p - 150. What is -2*g(j) + 10*v(j)?\nAnswer: 2*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15760 - 15765. Let n be 1\/3 + 6\/18. Which is the nearest to s?  (a) n  (b) 1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-7)\/(-21))\/(2\/5802) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -223 + 3.1.\nAnswer: -219.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2413 - 2404. Calculate the lowest common multiple of 11 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 18. Suppose 5*n + 0*n = 15. Suppose 5*o - 8 = d, 5*d + n*o - 41 = o. Calculate the least common multiple of k and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -236065158, 0 in descending order.\nAnswer: 0, -2, -236065158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - (2 - (-10)\/(-2)). Let d = 7 - q. Suppose -v + 3*r + 3 = 0, -5*v - 124 = -5*r - 129. Solve v*u + d*u - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21076021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2077 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-4)*-8*(-7)\/14. Let a = 144 - 69. Let r = -35 + a. Solve 4*d + r = -5*x, 5*d = -3*x + g*d - 27 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 1 + 0)*(-4*y - 3*y + 2*y).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/15  (b) -3\/7  (c) 2\/5  (d) 2\/7  (e) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32991, -32990, -32989, -32988, -32987, -32986?\nAnswer: -32985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -369969663, -369969662, -369969661, -369969660?\nAnswer: -369969659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 20*v = 6*v - 27*v + 16, -3*c + v + 5 + 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -28 - 140*j + 150*j**2 + 6 + 146*j. List the prime factors of w(2).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 464 - 359. List the prime factors of o.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of 0*d**2 - 1\/90*d**4 - 1\/150*d**5 + 0 + 1\/225*d**6 + 0*d**3 - 2*d + 1\/315*d**7. Factor g(x).\nAnswer: 2*x**2*(x - 1)*(x + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of -s**8\/21 + s**6\/60 + 419*s**5\/60 - s**3\/3 - 6*s**2 - 17*s. What is the third derivative of a(o) wrt o?\nAnswer: -960*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -3*k + 62, 13*k - 1204*d = -1205*d + 261 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 1 = k. Let w = 6 - 4. Let i = w + k. What is the least common multiple of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/18)\/(-4) - 175\/315.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 590488 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 455*y - 455*y - 2021*y**2.\nAnswer: -2021*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1063*77085.\nAnswer: 81941355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 595185234.\nAnswer: 2, 3, 7, 643, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -61*c**2 - 12*c - 4. Let f(b) = 152*b**2 + 30*b + 10. Determine 5*f(a) + 12*o(a).\nAnswer: 28*a**2 + 6*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 292990267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 158*t - 160*t. Suppose 5*c + 1644 = 2*p, 3*c - 3*p + 6*p + 999 = 0. Calculate the common denominator of -29\/2 and c\/(-675)*(-42)\/t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of z**4\/24 - 2*z**3\/3 + z**2. Let g be k(0). Calculate the remainder when (-66)\/g - 1\/(-2) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 3*o + 6162, 0 = -4*t - 2*o - o + 4935. Let i = t - 22175\/18. Let z = -30473\/6 - -5096. What is the common denominator of i and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.08 in -0.5, -26, -16, -1, 4, 6\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssu when three letters picked without replacement from {s: 3, f: 2, u: 3, a: 1, j: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1357*b**3*w - 12*b**2*w + 135865*b*w wrt b.\nAnswer: 8142*b*w - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than 3699477960?\nAnswer: 3699477964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*i*n**3 + 5*i*n**2*x**2 - 3*i*n**2*x + 4*i*x**2 - 30051*n**4 - 13*n**3*x**2 + 3721*n - 2 wrt n?\nAnswer: -18*i - 721224*n - 78*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -193.7 + 198.7. Which is the nearest to 2\/9?  (a) 3  (b) f  (c) -1.9  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 - 24*m + 131. Determine p(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -10*p**2. Let h(n) = -40*n + 23*n - 6 + 11*n. Determine h(z(g)).\nAnswer: 60*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*r - 100 - 684 = -10*r for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 368346074687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jyjjjjqjnnjnjtqjdj. What is prob of sequence ntj?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - -28 - 24) + -2 + -1 + -15?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 64 and 144?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 76.54 - 76. Let o = -13.7 + 14.54. Let c = m - o. What is the closest to 0.4 in -2\/17, c, -9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (((-5500)\/15)\/10)\/(4\/(-6)) is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -23*t - 34*t + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 978159888 a multiple of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of -2\/3*y**3 - 3 + 1\/6*y**4 + 2*y + y**2. Let j(f) be the first derivative of p(f). Suppose j(v) = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 e when three letters picked without replacement from {y: 1, c: 6, e: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxpsxpstjwxppppsxsp. Give prob of picking 3 s.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -1092, -4, 10, 49 in increasing order.\nAnswer: -1092, -4, 10, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -6) + -13 + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1021946, 4087786, 9197518, 16351142?\nAnswer: 25548658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 j, and 1 r when three letters picked without replacement from jtrjrrojrrjjrojtrrr?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -5*z - 3. What is the units digit of 2 - -145 - z\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 0 + j - 274112*j**2 - j + 11 + 274103*j**2 - 4*j. Let t(z) = z**2 + 5 - 2*z - 5*z**2 + 0*z**2. Calculate -3*n(h) + 7*t(h).\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 5*u = -3*u - 25095, 0 = 3*u. Suppose 0 = 5*v + 4*p - c - 1225, v - 3*p - 1245 = 0. Suppose -2*d - v = -8*d. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 f when four letters picked without replacement from {q: 2, n: 1, f: 14}?\nAnswer: 26\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 + 8*m**2 - 7*m + 8. What is the tens digit of c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-4))\/(1126\/(-6756))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d + 2*d - d)*((0*d + 3*d - 4*d)*(4 - 3 - 3) + d - 3*d - 9*d + 3*d - d - 6*d).\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 985725 and 585.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000 - -1001100100111000111100?\nAnswer: 1001100100111001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 248\/1089, -2\/15, -1, -3?\nAnswer: 248\/1089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 45506 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/2 + 1 + 0. Let h be (1\/51)\/((-520)\/(-97240)). What is the biggest value in -5, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -28484, -28690, -29032, -29510, -30124?\n\"Answer: -68*d**2 - 2*d - 28414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - a + 39718 = 2*t, 3*t = -3*a + 39720. Let y = -47238 + a. Round y to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -516, -3790, -12630, -29814, -58120, -100326?\n\"Answer: -463*n**3 - 5*n**2 - 18*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 3*u**3 - 5*u**2 + 5*u - 2. Let c(h) = -h**3 + 2*h**2 - 2*h + 1. Suppose 0 = a - 4. Let y be ((-2)\/4)\/((-3)\/60). Determine a*i(s) + y*c(s).\nAnswer: 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -7*r**2 - 13*r + 4. Let d(o) = 13*o**2 + 25*o - 9. Let p(l) = 4*d(l) + 7*u(l). Let q be p(1). Solve -5*v = -2*z - 4 + 3, -4 = q*v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 78*t**6 + 8*t**4 - 49*t**3 - 139257*t**2.\nAnswer: 9360*t**3 + 192*t - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1\/4 + (6 - 6) - (-279)\/(-744)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17242277.\nAnswer: 13, 383, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/3 - 58*l\/3 + 19.\nAnswer: (l - 57)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1156 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -141, -157, -197, -273, -397?\n\"Answer: -2*z**3 - 2*z - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10341, 11177, 12013, 12849, 13685, 14521?\nAnswer: 15357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*(b*b\/b**(4\/5))\/b*b*b\/(b*b*b*b**(1\/3)*b)*b*b*(b**(-6\/11))**(1\/31) assuming b is positive.\nAnswer: b**(4343\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*((p**(-2\/5)*p)\/p)\/p)**22*(p**0)**(5\/3))\/(p\/(p\/(p*p*p**(2\/17)))*p\/(p*p**(4\/11))*p)**(1\/36) assuming p is positive.\nAnswer: p**(-298783\/33660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(13) - 4*sqrt(13))*-5 + (sqrt(13) - (3 + sqrt(13) + sqrt(13)))*-6)*6.\nAnswer: -126*sqrt(13) - 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2888.9884 + 0.0695.\nAnswer: -2888.9189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 10143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 7 = -2*w + 19, -4*i - 32 = w. Let j be 3\/i*(0 + -33). Let r be (-176)\/(-2) + 1 + -1. What is the highest common factor of j and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 227965087, 455930174, 683895261, 911860348, 1139825435, 1367790522?\n\"Answer: 227965087*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*v**5 - 404*v**4 - 2689*v**3\/2 - 1349*v**2 - 895*v\/2 - 47 = 0. What is v?\nAnswer: -47, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5933056*o = -5933073*o + 102 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 80*p**4\/3 + 958*p**3\/9 + 952*p**2\/9 - 8*p\/9.\nAnswer: 2*p*(p + 2)**2*(120*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -5*r**2. Let z(j) = j + 3. Let l(y) = -2*y - 5. Let b(f) = -3*l(f) - 5*z(f). Determine b(n(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 15*p - 597. Give w(38).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, -1, 3, -8 in descending order.\nAnswer: 3, -1, -8, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -45361210 to the nearest 100000.\nAnswer: -45400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 687 + -451. Let v = 440 - 427. Let q = f - v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**3 - 3*g**3 + 5*g**3)*(7*g + g - 9*g) - 5*g**2 + 5*g**2 + 4*g**4 + (3 + 2*g - 3)*(g**3 - 3*g**3 + 3*g**3).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/((-1)\/7*8 + 1). Let y = b - -19. Solve 4*q = 3*u + u, -y*q = -2*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 61364, 122725, 184086?\n\"Answer: 61361*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -5*i - 24, 0 = -5*l - 0*l - 5*i + 30. Suppose -2*z = -z - l. What is the highest common factor of 66 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/90*76\/4. Let f = 1\/6 - z. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.57727 to two dps.\nAnswer: -1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 150 - 146. Is 0.02 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -369  (b) 0  (c) -1\/13  (d) -0.4  (e) -1\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 436.32509 + -2.16009. Let a = y - 435. What is a rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -6*j + 560. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1250.1 - 1304. Round l to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 28*i**2 - 54*i - 63. Let f be a(-26). Let l(c) = -2*c - 30. Determine l(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert d (base 14) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 1129 = -83*v + 1273, 3*a + 120 = 4*v + 1 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8331*u = -8289*u + 349 + 71 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 6*v**2 + 8*v + 3. Let w be x(7). Suppose 0 = -3*y + 25 - w. Which is the closest to y?  (a) -0.2  (b) -4\/3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -50633920 to the nearest one million.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -35 - -143. Suppose 7*c - 10 = 2*c. Suppose c*h - j = -2*v, 2*h - 153 = 5*v - 45. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 AM and 7:51 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 114 and 57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 897869?\nAnswer: 7, 29, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-10 + 0 - (-20 - -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 0 - 1)*(-1 + 5 - 3) - 1 + 4 - 2 + 0 + 2 - 1 - 194 - 40 + 57)*(3 + 1 - 3)*(-1 + 1 + 3*s) as y + m*s and give m.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 + 52*r + 268. Give q(-46).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of -i**4\/2 - 60*i**3 - 348*i**2 - 688*i - 3889. Factor q(k).\nAnswer: -2*(k + 2)**2*(k + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 69, 142, 201, 252, 301?\n\"Answer: z**3 - 13*z**2 + 105*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -91 + 90. Which is the nearest to q?  (a) -0.1  (b) -2  (c) -2\/3  (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 634749?\nAnswer: 3, 211583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 980621 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 158.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1265479087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 298 - 298.45. Let u = r + 0.75. What is the nearest to 0.3 in u, -0.1, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/((-32)\/6)*(-128)\/24. Let y(m) = -2*m + 1. Let v(k) = 3*k - 2. Let j(t) = t**3 - 2*t**2 - 2. Let c be j(3). What is b*v(z) + c*y(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -21 from 0.3540505.\nAnswer: 21.3540505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 112 + -1.5\nAnswer: 110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1486 = -61*q + 274 + 253. Sort -0.09, 3\/7, q in descending order.\nAnswer: q, 3\/7, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 198, -3756\/59 in decreasing order.\nAnswer: 198, -0.4, -3756\/59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1535936 and 2864968?\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 + 5*a. Let x be f(4). Let z be 162\/8 + (-1)\/x. Let s = -54 + 84. Calculate the highest common divisor of z and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 2491992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 201816 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) 246  (b) 1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1836) + sqrt(1836) + sqrt(1836))\/(-6*-2*sqrt(3)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -4 - 6 + 2*d + d - 2*d. Suppose 0 = -5*u - 6 + 41. Determine i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k**2 + 148 - 148 - 7*k**2 - k**3 to g + w*k**3 + c*k + x*k**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1632 is divided by 280.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 496 and 720.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + z + 9 = 0. Suppose -z*s - m + 34 = -141, 5*s - 2*m = 288. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 938 - 939.4. What is the nearest to f in 5, 2\/23, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n\/(n**(-13)\/n*n)*n)\/n)\/(n\/n**(7\/10)))\/(n**(-44)\/(n*n*n\/(n\/(n*n**27)*n))))**(-19) assuming n is positive.\nAnswer: n**(-16473\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/312 and 65\/168.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -27928*s**2 - 35633.\nAnswer: -55856*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -82, -85, -90, -97?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -3  (b) -132  (c) -2\/11  (d) -25  (e) 3  (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 11:05 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -347.5 + 350.5. Sort v, 5, 0, -1.1.\nAnswer: -1.1, 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101110000001011010010 (base 2) to base 8\nAnswer: 5601322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -8926, -9338, -10454, -12628, -16214, -21566?\n\"Answer: -59*g**3 + 2*g**2 - 5*g - 8864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6294 + 50289\/8. What is the common denominator of (87\/(-54))\/(0 - 1) and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -31*d - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/4)\/((-1656)\/(-69552)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 81796 plus 1.049221?\nAnswer: 81797.049221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3*m + 8 = 0. Find the common denominator of 17\/14 and 0 + (m - 78\/(-44)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -3, 13, -6, -5 in descending order.\nAnswer: 13, -3, -5, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90875*f + 20989*f - 50402*f + 9 + 5.\nAnswer: -120288*f + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15826 - 15622. Suppose 0 = -4*d - 3 + 11. Put h, 4, 1, d in increasing order.\nAnswer: 1, d, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yjjj when four letters picked without replacement from {y: 4, j: 6, n: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = -227*w + 232*w. Suppose w + 26 = 9*p. Solve -i - i = -p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 9*c. Let u be (-2 + -4)\/(14\/((-56)\/(-6))). Let v be (2\/4)\/((-2)\/u). Let n(f) = -f. What is v*i(x) + 6*n(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of u**5\/20 - 5*u**4\/12 - u**3\/6 - u**2\/2 + 139*u + 2. What is p(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1550316 to the power of 1\/2, to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -68\/57, -2\/11, 7, 0.3, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 514 divided by -36.\nAnswer: -257\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -647325 divided by 129465\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of -6*p**5\/5 - 77*p**4\/4 - 2103*p**2 - 33. What is the second derivative of w(n) wrt n?\nAnswer: -72*n**2 - 462*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 PM and 6:54 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-6))\/(20\/12)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -34.53 and 0.\nAnswer: -34.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 - 5*k + 3. Let q be l(2). Let o be (-11)\/(28 + -6)*22\/(-1) + (4 - 11). Sort -0.037, o, 2, q in decreasing order.\nAnswer: o, 2, -0.037, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47 - 65. Let u = -9 - r. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1278 and 1746.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -212*w**3 - w**2*y**3 - 34*y**3 wrt w.\nAnswer: -636*w**2 - 2*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 1\/4, -242396, -1.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9414 a factor of 1258179357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + z)*(4 - 4 + 2) - 569129 + 2904*z + 569129 + 2*z + z - 5*z + (2*z + 0*z + 0*z)*(-1 + 0 - 1) as j + f*z and give f.\nAnswer: 2900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**1\/(m**(-4)*m*m))**(-17\/4) assuming m is positive.\nAnswer: m**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -53*a**3 - 21*a - 3. Let c be 2 + -3 + 2\/(-2). Let z(v) = 13*v**3 + 5*v + 1. Let s(y) = c*h(y) - 9*z(y). Is s(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**3 - 2*c**2 + 2*c. Let f(j) be the third derivative of 5*j**6\/24 + 4*j**5\/15 - 17*j**4\/24 + 2*j**2 + 161*j. Determine -6*f(b) - 51*w(b).\nAnswer: 3*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -1409*z**2 + 40*z - 4. Let n(s) = -3*s. Calculate n(y(b)).\nAnswer: 4227*b**2 - 120*b + 12","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Expand -t**2 - t**4 + t**2 + (2*t**2 + 4*t - 4*t)*(-2*t**2 + 3*t**2 - 2*t**2) + (-2 - 6*t**2 + 2)*(t**2 + 3*t**2 + 0*t**2).\nAnswer: -27*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -1\/2  (b) 18.703  (c) 0.3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -125, -225, -325, -425?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.768884 and 0.3.\nAnswer: 1.068884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of -z**8\/504 + z**7\/45 - 7*z**6\/180 - 19*z**5\/90 + 4*z**4\/9 + 20*z**3\/9 - 349*z**2. Find g, given that p(g) = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 11:04 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (90\/(-75))\/((-2)\/45). Suppose g + 38 = 13*q. Sort -2, 3, q in decreasing order.\nAnswer: q, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -1671*x**2. Let n(c) = 2*c. Calculate n(g(m)).\nAnswer: -3342*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*n - 26*n + 3*y, 3*y - 22 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -152*j + 37 - 9309 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5799042 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 2:07 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 31551 (base 10) to base 9\nAnswer: 47246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27451.99999937138 + -27452. Round y to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4167746 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5f420 - 4?\nAnswer: 5f41c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6040 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 5. Let o be (-210)\/(-12) - 1\/2. Let n = o + f. Calculate the lowest common multiple of n and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -522490*r + 40. Let f = 92 + -96. Let g be a(f). Round g to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2168 + 4928. Calculate the remainder when u is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 5*q**2 + 75*q + 374. Let y be i(-5). Which is the closest to 0.2?  (a) -6  (b) -4  (c) -0.23  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/10*(-1161)\/(-86))\/(15\/50).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14346 = -111*l + 4413. Is l > 851\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 PM and 3:13 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13906 - -19648. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -11*7\/(-21) - (-2)\/6. List the prime factors of (-9 + -64)\/(a\/(-24)).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*x - 17*x + 870. Let s = x + 240. What is the smallest common multiple of 10 and s?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Divide 45371190 by -3.\nAnswer: -15123730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (252\/336)\/(6\/27344)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -699, -677, -671, -681?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, w: 8, v: 7, p: 3}. What is prob of picking 1 p, 1 v, and 1 t?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9818 + -3?\nAnswer: -9820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 468009242?\nAnswer: 2, 13513, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4857 - -4856.8. Which is bigger: -73\/24 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*g + 893*g + 935*g + 575*g + 3*g - 2*g - 4*g + (-1 + 3 + 0)*(-g + 1 - 1).\nAnswer: 2412*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.029839 rounded to 5 dps?\nAnswer: 0.02984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 547050916 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 32 = -0*c. Suppose 2*u + 3*u - 4*y - 86 = 0, 2*y = u - c. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3)*(-h + h - 3*h**2)*(-8 - 4*h + 8) + (1 - 1 + 2)*(4*h**2 - 4*h**2 - 2*h**3).\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*m + 3*m - 2*m)*(-67*m + 17*m + 6*m - 3) in the form w*m**2 + s*m + j and give w.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 86*c - 8854. Give z(103).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 0 = u + 1, -3*u + 2*h + 67 = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00047823339 rounded to 6 decimal places?\nAnswer: 0.000478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 84 or 1?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 17965928473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -923026*g = -922376*g + 29900 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, m: 2, b: 5, e: 1, a: 1}. What is prob of sequence ttbm?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -5630919*u + 11261838. Give w(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 157 + -157. Suppose 13*x - 297 - 15 = v. Calculate the remainder when 117 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104 + 4 = -11*r + 9 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101 + -220102102?\nAnswer: -220102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 255 = m, 2*t + 2*m = 5*t - 160. 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: Suppose 40 = -37*l + 33*l. Let n = 15 + l. Let o(u) = u**2 - 6*u + 8. What is the least common multiple of n and o(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of 749*d**6\/60 + d**5\/10 + 3*d**4\/2 - 613*d**2 + 2*d. Find the third derivative of n(g) wrt g.\nAnswer: 8988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3947782138.49999891 + -3947781878.5. Let n = -260 + j. What is n rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiioz. What is prob of picking 3 i and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 3*k = 955. Let n = -105 - k. Calculate the remainder when n is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 + 1 - (12 + -9)) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -3*b + 1. Let i be u(-1). Let h be 6\/i*(-44)\/(-3). Let n be 0 + -2*66\/(-4). What is the greatest common factor of h and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 62 - 57. Suppose -2*x = -5*p + 450, 0*p + 4*p = -n*x + 360. Suppose 0 = 3*l - 3*f - p, -11 - 1 = -4*f. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1104 + 613 + 671 = 36*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 0*u + 2*a - 47 = 0, 3*a = 5*u - 248. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**2 - p + 1. Let d = -14 - -18. Let c(l) = -5*l + 4. Let t(h) = 6*h - 4. Let k(i) = 2*c(i) + 3*t(i). Let z(r) = d*y(r) + k(r). Factor z(v).\nAnswer: -4*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: -1692 divided by 564\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -194*k + 65*k - 110*k - 135*k.\nAnswer: -374*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/3  (b) 0.08  (c) -11  (d) -1  (e) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22407 by -291.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 17*x - 15542 = -15*x, -2*x + 7765 = k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1012*v - 203*v + 11265 + 376 = -494 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xi when two letters picked without replacement from foioxffif?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.011 - -0.012. Let h = 1.003 - r. Let l = h - -0.02. Sort l, 0.2, -0.1 in ascending order.\nAnswer: -0.1, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wqw when three letters picked without replacement from {j: 1, x: 1, w: 3, n: 1, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -q**3 + 2 - 3*q - 1 + 5 - 7 + 2*q**2 as a*q + f + c*q**2 + d*q**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -33*s**3 - 197*s**2 - 128*s - 825. What is a(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -12*y**3 - 2*y**2 + y - 8. Let k be n(3). Let s = k - -686. List the prime factors of s.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.01879+4\nAnswer: 3.98121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*z + 19 = -25. Let n = -6 - -6. Let d be n + 34\/18 - 2. What is the third biggest value in 1, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 3*j = 20, 0 = 2*u - 9*j + 420 - 356 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5251 is divided by 11*13 + (-9)\/(279\/31)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 9:04 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of h**4\/6 + h**3\/6 + 2*h**2. Let u(q) = -2*q + 2 + 7*q + 2*q. Calculate -3*u(z) + 5*v(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 5:27 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6 + -1 + 34\/1. What is the tens digit of 411887\/435 - (w\/45 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 50909 and 54.8946403?\nAnswer: 50854.1053597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**2*i)**(-29))**(-6\/23))**39 assuming i is positive.\nAnswer: i**(20358\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 + (7 - 36) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**3*x**4 - v**3*x - 772*v**3 - 2767*v**2*x**5 + v*x wrt x?\nAnswer: 24*v**3*x**2 - 55340*v**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 9*g - 67. Let t be z(9). Solve 4*q + 2*i + 18 = 0, q + 2*i = -q - t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/((o\/(o\/(o\/((o\/o**(-3\/5))\/o))))\/o))\/o*o**4\/o*o)\/(o*o*o**(-5\/2)*o*o**(-2\/3)))**(-16) assuming o is positive.\nAnswer: o**(-1144\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3185 and 1727635?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/8166 and -17\/54?\nAnswer: 73494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**4\/3 - 39026*a**3 - 1145465023*a**2 - 560462099372*a\/3 - 369059851692 = 0.\nAnswer: -58457, -162, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 3*a = 3*n + 59, 3*n + 2*a = 56. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4667 (base 8) in base 14?\nAnswer: -c99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20685 - -21053. What is the highest common factor of 176 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 16*w. Let c(f) be the first derivative of 11 - 1\/2*f**2 + 0*f. Calculate c(h(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 5:50 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*h + 18*h - 3*h)*(-15030 + 7440 + 7441 + (-2 + 2 + 2)*(-1 + 4 - 5)).\nAnswer: -3060*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 3*y + 310. Let n = 140 + y. Let d = -45 + n. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + 2)\/(4 + -3). Suppose -p*k - 6 = -2. Let h(j) = -10*j. What is h(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/2696 + 8341\/682088. Does -1 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 + 1. Let b(v) be the third derivative of -v**5\/20 + v**4\/12 - 5*v**3\/6 - 3409*v**2. Calculate b(y) + 3*i(y).\nAnswer: -6*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -370 divided by 10.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1)\/o*o*o**(1\/12))\/(o\/(o*o**(-1\/4)))**43)\/(((o\/o**(-2\/9)*o)\/o*o)**(-9\/5)\/(o**5\/(o**(-1)\/o))) assuming o is positive.\nAnswer: o**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 211 <= 408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -42*b**2. Let m be -3*(-3)\/(-9) - -309. Let l(w) = w**2 + m*w + 0*w**2 - 154*w - 154*w. Calculate p(l(y)).\nAnswer: -42*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -543, -550, -581, -648, -763?\n\"Answer: -2*o**3 + 7*o - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19 + -5. Let o be c\/(-14) + 4\/14. Let m(f) = -f**2 - 3*f. Let i be m(-3). Solve h + o - 1 = i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, j: 1, w: 4, c: 1, g: 1}. What is prob of sequence ag?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28 + 28 + 76*u**2 to r + q*u**2 + h*u and give q.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5164 by 4.\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -493535978*m - 278276447 wrt m?\nAnswer: -493535978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 195 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*a - 24 - 24 + 48.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3866.542 times 3\nAnswer: 11599.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 311*g = 314*g + 39. Let q(d) = d**3 + 12*d**2 - 15*d - 22. Let o be q(g). Solve -4*i + 0*s = -s + 24, 2*i = -o*s + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2 = -4. Suppose -3*g = -i*g. What is the second derivative of 2*m + 0*m - m - 2*m**2 + g*m wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 459819071, 459819070, 459819059, 459819032, 459818983, 459818906, 459818795, 459818644?\nAnswer: 459818447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of 57\/2*n**2 + 19\/6*n**3 - 2*n - 45. Differentiate c(m) with respect to m.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i**4 + 2*i**4 + 2*i**4 + 0*i - 2*i**4 + 0*i - 6334*i - 108*i**4 + 6334*i + (-i**4 + 0*i**4 - 3*i**4)*(-2 - 5 + 4) + 3*i**4 + i**4 - i**4.\nAnswer: -94*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -9. Calculate the smallest common multiple of (-1)\/(-2) + (-30)\/(-4) and f\/(-14) - 228\/(-133).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 + 10*v**2 - 10*v + 13. Let d be (0 + -3)*-3*1. Let c be o(d). Solve -3*j - 6 = c*f + 1, 3*f + 9 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -339438 or -339434?\nAnswer: -339434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -347, -3, 5 in decreasing order.\nAnswer: 5, -3, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -100?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18759a1 (base 12) to base 3.\nAnswer: 100122201120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**5 + 25*q**4 + 103*q**3 - 845*q**2 - 1904*q - 980 = 0.\nAnswer: -14, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 161, 338, 567, 842, 1157, 1506, 1883, 2282?\n\"Answer: -j**3 + 32*j**2 + 88*j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 156 - 161. Which is the second smallest value?  (a) 2\/11  (b) r  (c) -0.5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 184 = -101. What is the greatest common divisor of 76 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17172246 and 52?\nAnswer: 34344492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.851828 kilograms to tonnes.\nAnswer: 0.000851828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22075)\/(-375) - 23 - 36.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -247*x**3 + 2*x**2 + 2*x - 2. Let s be t(-2). Let f = s + -11761\/6. What is the common denominator of -9\/8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1ba (base 13) to base 14\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24998856, 2, 1 in increasing order.\nAnswer: 1, 2, 24998856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 890 is divided by 310.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of -b**3\/3 - 3*b. Let s(k) be the first derivative of -k**2\/2 + 2. Determine s(y(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(13)*1*4.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve o**3 + 3*o**2 = 0 for o.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 6*x + 4 = 0. Let w(u) = u - 4. Let o be w(6). Does 15 divide o*((-50)\/x - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -448.9  (b) -0.4  (c) -2  (d) 3  (e) 3\/32  (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.0103 and -117445055?\nAnswer: 117445054.9897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*n = 74*n + 16. Let d = 397 - 397. Solve 0 = q - n, d*o - 5*q + 6 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, i: 3, n: 12}. What is prob of sequence nn?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 3:57 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, y: 5, p: 1}. What is prob of picking 3 y and 1 j?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3813\/230 + 172\/23. Find the common denominator of -2\/3 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1375 and 482875.\nAnswer: 5311625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 - -18. Let b(q) = -q**2 - 6*q + 6. Is b(f) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 4*y**2 + 4. Let c = -11 - -23. Let p = c - 9. Determine z(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44197, -176318, -396521, -704806?\nAnswer: -1101173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13208, -3, 5, 10 in decreasing order.\nAnswer: 10, 5, -3, -13208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 4 = -12*z + 9*z, -2*j + 8 = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 - 0.8. Let m = -14.9507 - 0.2193. Let y = -15.12 - m. What is the second biggest value in 0, i, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 40.0363 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of x**5\/5 + x**3\/2 - 2*x. What is the second derivative of a(r) wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 + 13. Suppose -v = -4*y + 6. Solve y = -3*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g**2 + 0*g**2 + 178*g + g**2 + 2051.\nAnswer: g**2 + 178*g + 2051","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2400 divided by 60\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 1. Let a = 11 - i. What is the first derivative of 3*g**3 - a*g**3 - 1 - 2*g**3 wrt g?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 140*f + 2532 = -0*k, 2*k - 28 = 3*k - 2*f + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.1 + 15. Let y = 19 - u. Is 12 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3173*p**3 + 4823?\nAnswer: 9519*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -124943, -250148, -375619, -501356?\nAnswer: -627359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 5, 2, 13, 44, 101?\n\"Answer: b**3 + b**2 - 13*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 1995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 5*q. Let p(l) = -l**3 + 3*l**2 - 2*l. Let i be p(2). Suppose -408 = -6*o - 378. Let b(r) = 0*r + i*r + r - o*r. Give b(t(n)).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/189)\/(84\/98)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 26, 3*w = 4*w - 4*w + a + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9.3 - -1.3. Which is the third smallest value?  (a) p  (b) -5  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-22)*x**(4\/3)\/x*((x*x**(-14))\/x)\/((x**(-3\/10)\/x)\/x) assuming x is positive.\nAnswer: x**(-1001\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 1356 divide 29319588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -85 - -85.2. Which is the closest to r?  (a) -1  (b) -5  (c) 2\/3  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-s - s + 0*s - 2*s**2)*(-8*s + 3 + 6*s + 0) to the form k*s**2 + g + b*s**3 + r*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -5*w**2 + 0*w**2 + 14 - 4*w + 4*w**2 + 2*w**2. Let h be ((-28)\/(-8))\/((-2)\/4). What are the prime factors of a(h)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3447 + -849. Suppose -4 = 2*r, -4*b - s = -0*b - r. What is b rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/((-5)\/30)*(-1)\/(-3). Solve n*r = i - 0*r - 1, -3 = -3*i - 2*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 965.023 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-7))**(20\/3) assuming q is positive.\nAnswer: q**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12621368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeheeeehe. What is prob of picking 2 e?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16686 is divided by 832.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*l + 194 = -27*l. What is the remainder when l is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -w**6 - 10085*w**5 - 3*w**3 - 77*w**2 + w + 103 wrt w?\nAnswer: -120*w**3 - 605100*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*a - w, 19*w - 6 = -3*a + 22*w. Is (-745)\/(-3) - (70\/(-15) + a) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 1850, -5280\/13, 0.1?\nAnswer: -5280\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -108 - -158. Suppose 0 = -2*u - 46 - i. Let o = u + 60. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 114, 239, 386, 567, 794, 1079, 1434?\nAnswer: 1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(52)\/sqrt(4))**2 + 3 - sqrt(65)\/sqrt(5)*2) + ((-1*sqrt(260) - sqrt(260))*4)\/sqrt(5) + 1.\nAnswer: -18*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -5*-1*8\/20. Let z be (-3 + x)\/(4\/(-20)). Let k = 4 - -2. Is k < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + -1 + 2 - 0. Suppose 5*p - 41 = -4*l, -37*l - p = -34*l - 17. Find f such that 9\/2*f - 3*f**l - 1 + 1\/2*f**5 + 7*f**g - 8*f**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 40 = -4*f + 652, -f + 158 = -4*s. Let z = f + -83. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(1\/2)\/(o\/(o\/(o**(-34)\/o)))*((o*o**(2\/21))\/o)\/o*o**(1\/7) assuming o is positive.\nAnswer: o**(1459\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5048 or 5295?\nAnswer: 5295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {r: 3, k: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16791394.\nAnswer: 2, 1163, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 4*39\/(-15)*((-490)\/(-112))\/7\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -800*t + 48322 = 405*t + 101*t for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 304614 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -108d (base 14) to base 15.\nAnswer: -cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.0468 + 89.0668. Let x = 88 - o. What is the smallest value in 3, 2\/15, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 195, -2, -14, 7, 5, 233 in increasing order.\nAnswer: -14, -2, 5, 7, 195, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -6*u. Let o(p) = -13001336*p**2. Calculate i(o(h)).\nAnswer: 78008016*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 78\/8 + (-54)\/72 - (-1469)\/(-156).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -537*j**3 - 1 + 1 + 343*j**3 + 2*j**3 - 5 + 5 + (1 + 1 + 0)*(-2*j - 2*j**3 + 2*j) - j + j**3 + j to n*j + p*j**2 + a*j**3 + d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 - 2*v - 1. Let d be n(-1). Suppose -4*r + 76 = -d*r. Calculate the remainder when r is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 5*g - 54475, -250*b - 27242 = -252*b - 2*g. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-11)\/(-22) - (1 - 6\/4). Solve i = 3*s - 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30772*y + 21470*y - 12*y**2 - 52242*y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17.84 + 1.74. Let p = x + 16. Sort p, 5, -0.2 in descending order.\nAnswer: 5, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 238\/(-544)*4*((-12)\/(-231))\/2\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 142, 593, 1360, 2455, 3890, 5677, 7828, 10355?\n\"Answer: 2*o**3 + 146*o**2 - o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -190, -188, -186, -184?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6785037 to the power of 1\/2, to the nearest integer?\nAnswer: 2605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 4*g**2 - 2*g + 2. Let t(v) = -11 - 11*v + 16*v + 6 - 9*v**2. Let l(b) = -5*r(b) - 2*t(b). Let z(s) = 144*s**2. Calculate l(z(d)).\nAnswer: -41472*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-30)\/(-18) - (-8380)\/(-24))*4. What is m rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 201619, 201485, 201351, 201217?\nAnswer: 201083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -520 - -1061\/2. What is the common denominator of a and 24\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5, 0, 5?\n\"Answer: 5*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 5*i + 5 = g, 5*i + 5 = 0. Suppose -2*q = 3*q - g, 5*b - 2241 = -3*q. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6*(20\/15 + -2). Solve 4*l + 2*w = 6, 4*w - 1 = -g*l + 11 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 109 + -65. What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-12)\/7)\/(((-48)\/(-56))\/(-6)). Solve 4*l = 4*x + m, -4*l + 7 = -l - 4*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-5 + 5\/5)*(-10)\/8 and 11\/22 - 18\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6691200 and 96832?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-15)*(15 + -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7 + 3 - (-1 - -1). Let i be (-9 - 66)*(-48)\/b. Suppose -2*j = -0*m - 4*m + i, 5*m - 435 = -5*j. What are the prime factors of m?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 4*v**2 - 1129*v - 4318. What is c(286)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27 or 238\/9?\nAnswer: 238\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -42\/41 - -537\/164. Which is smaller: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8351 and 750397?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -522, -2129, -4816, -8589, -13454, -19417?\nAnswer: -26484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -k**7\/420 - k**4\/12 + k. Let d(f) be the third derivative of a(f). Let n(j) = 2*j**2. What is n(d(r))?\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 3*u = 4*d + 5, -u = -d - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 32 = -12*u. Sort -3, 4, 1, u in decreasing order.\nAnswer: 4, 1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 418930844 or 418930841?\nAnswer: 418930841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -34*z**2 - 1838*z + 32404. What is a(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/23124 and -61\/35438.\nAnswer: 8717748","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -17.5 + 29. Let l = p + -11. Suppose -33*g - 10308 = -10275. Which is the second smallest value?  (a) l  (b) -10\/3  (c) -1\/3  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of 2*n**3\/3 + n**2\/2 - n. What are the prime factors of p(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3675, -7356, -11039, -14724, -18411, -22100?\nAnswer: -25791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 71e?\nAnswer: 71c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 10 + 9 - (4 - -2) - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*s + 7*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -10739800\/9 smaller than -1193310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4320*p**2 - p + 12058 wrt p.\nAnswer: 8640*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28051 - 38*j**3 + 3*j**3 - 82*j**3.\nAnswer: -117*j**3 - 28051","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4 + 7 + 2 + 31. Let c be ((-1)\/(12\/(-8)))\/(16\/r). Let -15\/2*f**2 + c*f**4 - 3\/2*f**3 - 9\/2*f + 0 = 0. What is f?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16 - (8 + -11)) + 8 + -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**28*r*r**(-4))\/((r\/(r**(2\/7)*r))\/r**34) assuming r is positive.\nAnswer: r**(415\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/14 + (-2)\/7. Let r(k) = o*k + k - 3*k. Let z(h) = -h. Give z(r(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (28\/(-18))\/(-7)*18\/11*(-836)\/(-114). Factor 36*x - 9*x**3 + s - 2\/3*x**2.\nAnswer: -(x - 2)*(x + 2)*(27*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4346900 and 9500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 297 a factor of 722601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**3\/5 - 2871*q**2\/5 - 22824*q\/5 - 45552\/5.\nAnswer: -3*(q + 4)**2*(q + 949)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33207 + 33209. Solve -3*k - d = 2*y - 7*k, 16 = -4*y - 4*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 683.44 - 683. Sort 3, -0.1, -5, j in descending order.\nAnswer: 3, j, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 1 + 15*s**2 - 1 - 14*s**2. Let h(u) = -25*u**2. Determine h(q(n)).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -21*n. Let o = -478 - -477. Determine i(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-64)\/34 - (-3 - -1). Let o = -4\/23 - 283\/92. Sort 0.3, o, u.\nAnswer: o, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35b66 (base 15) to base 12.\nAnswer: -83189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 - 39*w + 620. Let k be f(12). Solve -k = -72*r + 74*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10259 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(30\/(-5)))\/(1\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/6)\/(l*l\/((l*l\/(l**(2\/3)\/l)*l)\/l)*l))\/((l\/(l\/(l**0*l)))\/l*l*l*l**(-1\/5)) assuming l is positive.\nAnswer: l**(-79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5683.\nAnswer: 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 3*d + 1 = 5*d, -3*d + 2 = 2*v. Let x be -3 - (-2)\/(0 + v). Is 0 - x\/((-3)\/(-1059)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1193563584 a multiple of 3629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 23 and 2355.\nAnswer: 54165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2396358 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9682126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 3*y. Let a(v) = -2*v**2 - v. Let d be a(-1). Let j be 4\/3 - 10\/(-15). Let g(x) = x. Let p(b) = d*o(b) + j*g(b). Let c(q) = q. What is p(c(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -8*z**3\/3 - 11*z**2\/2 + 11*z + 4. Let l(c) be the first derivative of c**3 + 2*c**2 - 4*c - 61. Calculate 4*d(p) + 11*l(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 4*s + 4. Let f be z(5). Suppose 8 - f = -2*m. Let y(w) = -w**3 - 3*w**2 - 2*w - 4. Let o be y(-4). Calculate the greatest common divisor of o and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 567808 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, 11, 43, 75?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*v + 20 + 10. Solve -4*f - 5 = -v*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of 5\/6*x**3 + 0 + 0*x**2 + 6*x. Let i(z) = -2*z. Give j(i(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4*g - 54 = 0, -2 - 1 = g. Let p be (r + 20)\/(2\/(-20)). Suppose -8*f + 3*f = -p. Solve -3*j = f*s + 4, -2*j + s = 2*s + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x + 5*x. Suppose x*d = -d + 4. Let f(h) = -d*h**2 - h - 1 - h + 3*h**2 - 4*h. Determine f(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.879109 nanograms to grams.\nAnswer: 0.000000000879109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51172333.\nAnswer: 51172333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 210, 73, -54, -165, -254, -315?\n\"Answer: b**3 - b**2 - 141*b + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 73 + -67. What is the lowest common multiple of k and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4013152 - 2?\nAnswer: 4013150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21152 - 21042. Calculate the greatest common factor of 1045 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 18*s - 72. Let l be x(7). Let f(i) = -8*i**3 - 6*i**2 - 4*i + 5. Let z(j) = -9*j**3 - 7*j**2 - 5*j + 6. Determine l*z(t) - 6*f(t).\nAnswer: 3*t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Divide 91293 by 8.\nAnswer: 91293\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 21303 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33077, 33087, 33099, 33113, 33129, 33147?\nAnswer: 33167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the third derivative of -t**7\/105 - t**6\/12 - t**5\/60 - 43*t**3\/3 + 114*t**2. Find the third derivative of s(u) wrt u.\nAnswer: -48*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -8*z + 93. Let c(x) = 4*x - 50. What is 5*c(y) + 2*g(y)?\nAnswer: 4*y - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 11, s: 2, o: 7}. Give prob of picking 2 o and 2 g.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 180443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5*g = -5*c - 23, 35 = -4*c - g. Let j be 1420\/9 + c\/(-36). What is the common denominator of -107\/12 and (-15)\/(-20)*j\/(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*y + 4*o - 2 = -11*y, 4*o + 0*o - 5 = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -10660 + 21318 - 10659 + 838*w as l*w + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 4*j**5\/3 + 284*j**4\/3 + 16*j**3 - 130688*j**2\/3 + 1418240*j\/3 - 1433600 = 0.\nAnswer: -60, -35, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 217*z**3 + 9*z**2 + 3*z + 59. Let r(v) = 216*v**3 + 6*v**2 + 3*v + 59. Let x(u) = 2*n(u) - 3*r(u). Find the second derivative of x(o) wrt o.\nAnswer: -1284*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-27 - -21) + (0 - 0) + 11 + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**11\/q)\/q)\/q)**27*q**18*q*q**(-16) assuming q is positive.\nAnswer: q**219","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-69)\/(-23) - (-10)\/(1 + 1). Let q = o + 9. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - 5. Let v be (2\/j)\/(-1 - -4). Which is the smallest value?  (a) 2  (b) -4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b = 6*b - 876. Let p = b - -54. Round p to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 145690*z**2 - 264897 wrt z?\nAnswer: 291380*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1277719227 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 AM and 5:19 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4 - 10*d**3 + 17*d**2 - 8*d.\nAnswer: d*(d - 8)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 127 in decreasing order.\nAnswer: 127, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 96 - 93. Suppose o*d = 18*d. Let v = 26 + -20. Solve -m = -x - 3*x + 7, -3*x + v = d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (1 + 1 + (-1*sqrt(5) - sqrt(5)) + 4)**2 + -5.\nAnswer: -24*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5 - -1) + 3\/3. What is the common denominator of ((-6)\/16)\/(25\/60) and (82\/132)\/(o\/(-9))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/28 and 180\/225*((-23)\/2 + 0).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (24*y + 18*y + 15*y)*(-8*y + 8 - 8) as j + n*y + m*y**2 and give m.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 694*u + 473*u - 39678 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -22 in -4, 0.2, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 2:30 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m + 9. Let z be d(-8). Suppose 4*t - 3*k - 21 = 0, -4*t - 2 = 5*k + z. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29938 and 5958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -251*g**3 + 5*g**2 - 2*g - 3. Let n be j(-1). Let y(z) = 5*z**3 + 2*z**2 - 1. Let i be y(1). Suppose -v + i*v = n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 15. Let t be (0\/2)\/(i - 12). Calculate the remainder when 3 + 13 + t + 1 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 677289021\/1060 - 638952. Find the common denominator of j and 103\/36.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 598 - 1793\/3. Sort -5, q, 11 in ascending order.\nAnswer: -5, q, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -416*i - 3925 - 15627 = 0 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 - 14*z - 10. Let p be o(-12). Suppose 4*k + 2 = p. Solve -3*f - 2 - 7 = n, -5*n = k*f - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 35 = -55. Let h be (-1 - 2) + 1 + 5. What is the third derivative of -8*p**2 - 3*p**3 - 4*p**c + h*p**3 wrt p?\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -337d90 + 607?\nAnswer: -337787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (440\/160)\/(6\/8) - 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 188056, 752309, 1692732, 3009325, 4702088, 6771021?\n\"Answer: 188085*u**2 - 2*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (((-1)\/72)\/((4180\/(-99))\/38))\/((-32)\/120)\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 37ef41?\nAnswer: -37ef3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6.409, 0.319, -10, 5 in increasing order.\nAnswer: -10, 0.319, 5, 6.409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r**(-1\/11))*r*r*r**(8\/9))\/((r\/r**10)\/((r\/r**12*r)\/r)))**(2\/33) assuming r is positive.\nAnswer: r**(194\/3267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -382583696 divided by -2396?\nAnswer: 159676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -15025\/217 and -69 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -10012220020 (base 3) to base 2\nAnswer: -1111011101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, b: 4}. What is prob of picking 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rnr when three letters picked without replacement from {p: 1, n: 3, g: 1, r: 10}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 31\/2 of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 224*o**3 + o**2 - 2*o + 7. Let q(c) = 447*c**3 + 2*c**2 - 4*c + 15. Let t(m) = -6*q(m) + 13*r(m). Let x be t(1). Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**2 - 3*a**2 - 2*a**2)*(-53 - 9*a**3 + 13 + 55).\nAnswer: 27*a**5 - 45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 182 - 181. Let i be (-2)\/11 + ((-26)\/(-22) - t). Is -2\/1673 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30 - -24. Let b = a - -11. What is the first derivative of -6*p - b + 6 + 6 - 5 wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 0, -1\/2, 58, 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 707115317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 293707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -21407028 divided by 83?\nAnswer: -257916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2*b = -0*b + 17, 5*x + 72 = 3*b. Let z = -11 - x. Solve z*s + 1 = -3*u - 0*u, -s = 2*u + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15137448?\nAnswer: 2, 3, 151, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {l: 5, d: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 4*w + 3 = 13, 0 = -3*p - 5*w - 4. Let r = -0.01 + 4.01. What is the closest to p in 5, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of -2*b**3\/9 + 89*b**2\/3 + 60*b + 3187. Suppose m(t) = 0. Calculate t.\nAnswer: -1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 + 7*q + 4. Let i be d(-7). Let n(r) = r**2 + r. Let c(j) = 6*j**2 - j + 1. Let g(k) = c(k) - 5*n(k). What is g(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 209296 and 470401?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 220001120 - 2300303?\nAnswer: 211100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (r + 0*r - 3*r)*(-1 + 0 + 0) + 825*r + 545*r + 131*r to q + m*r and give m.\nAnswer: 1503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2803*r + 2803*r - 5591*r - 41 to the form n + x*r and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-9))\/((-1)\/(-18)*(-144)\/198)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of f**4\/8 + 2*f**2. Let p(z) = 5*z**2. What is g(p(d))?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -787608685106+-1\nAnswer: -787608685107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 222 * 3\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r\/(r*r\/((r\/r**7)\/r))))\/r**(-1)*(r\/(r*r**(2\/5))*r*r)**(-20\/9))\/((r**(-1)*r)**(4\/5)\/(r**(-2)\/r**(2\/7))) assuming r is positive.\nAnswer: r**(199\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of o**4\/4 + 2*o**3 - 15*o**2\/2 + 21*o. Factor d(u).\nAnswer: 3*(u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21666 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25155 is divided by 123?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3192, 3179, 3162, 3141, 3116, 3087, 3054?\n\"Answer: -2*v**2 - 7*v + 3201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -32086.629 not equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -400*a - 393*a + 1607*a - 419*a - 399*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*c + 289839 - 296111 = 0 for c.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (72\/45)\/((-2)\/20*6). What is the closest to v in 0.3, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 2*l**2 + l + 8. Let a(k) = -2*k**3 - 3*k**2 + k + 15. Suppose -3*z = -z + 22. Let v(q) = z*b(q) + 6*a(q). Determine o, given that v(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 474319 (base 11) to base 13.\nAnswer: 20460a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1012*u - 211*u + 17138 = -101*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*t - 106 - 147. Is t bigger than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7 + 8 - -7) + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -30 - -32. Suppose 0 = -s + j - 8, -2*s - 4*j = 36 - 2. Let q = -11 - s. Put q, w, -2, -3\/4 in descending order.\nAnswer: w, q, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*m + 107 = -333 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 60 - 33. Let r be 3 - (-1 + k + 2). Let p = r + 46. What is the remainder when 40 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1310484 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-36)\/(-16))\/(3\/12) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 - 3*k**2 - 92*k - 47. Calculate z(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 6*t**2 + 29*t - 22. Determine g(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3 + sqrt(2)))**2 - (sqrt(2) + 0 + 4).\nAnswer: 53*sqrt(2) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/((q\/q**3)\/q))\/(q*q*(q**(-2\/3)\/q)\/q))\/((q*(q**(2\/3)\/q*q)\/q*q*q)\/(q\/((q*q**(-1\/9))\/q))))**(1\/20) assuming q is positive.\nAnswer: q**(7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 5:03 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -9\/4630 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -64?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 76941104 + -2856524?\nAnswer: 74084580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-1\/17))**25*(h\/(h*h\/((h*(h**(-6)\/h)\/h)\/h))*h)**(27\/5) assuming h is positive.\nAnswer: h**(-1672\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a**2 + 50*a + 174. Calculate l(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 77192491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 13651*q = 13653*q - 21, -4*q + 47 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -25?  (a) 2  (b) -0.3  (c) 4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 45 - 23. Calculate the greatest common factor of 44 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4d54d (base 16) in base 6?\nAnswer: 10442233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -158 - -160. Suppose 5*f - 18 - 32 = 0. Suppose -2 = -3*a + f. Solve -i*n = -a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 2. Let r(s) be the second derivative of -s**4\/12 - s**3\/6 + 5*s**2\/2 + 50*s. Let u be r(p). Solve u*f = 8 + 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 145, 313, 503, 715, 949, 1205, 1483?\nAnswer: 1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4106 and 4?\nAnswer: 8212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 533 and 11?\nAnswer: 5863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = 51322*a - 51321*a + 29, -5*r + 187 = -116*a for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/239 + -469\/2151. What is the nearest to 0 in -1, b, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3029*a**2 - a**3 - 3029*a**2 - 6*a.\nAnswer: -a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12571214*g**4 + 27182*g**2 - 9*g + 3?\nAnswer: -301709136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Is 103385 > 723686\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 1407*n**2 - 12*n + 3. Let y(k) = 2*k**2 - 2*k + 1. Determine q(m) - 5*y(m).\nAnswer: 1397*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*u**3*w**3 - 6*u**3*w**2 + u**3*w + 114*u**2*w**2 + 2*u*w + 171*w + 18 wrt w.\nAnswer: 48*u**3*w - 12*u**3 + 228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833)*-2 + 0)**2.\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 24?  (a) -12  (b) -0.1  (c) -5\/3  (d) -1\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaaaayyja. Give prob of sequence ayaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*j + 34*j = 70 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -14814544, -14814551, -14814556, -14814559, -14814560, -14814559?\n\"Answer: m**2 - 10*m - 14814535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (28 - (24 + -5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6815 and 1463815.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 - 10368034767.\nAnswer: -10368034766.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -3. Suppose -4*n - 56 = -k*q, n = q + 1 - 25. What is the smallest common multiple of q and (3 - (5 + -1)) + -3 + 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -0.4, 7, -0.6 in increasing order.\nAnswer: -0.6, -0.4, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 7:46 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(((n*n**(-2\/39))\/n)\/n)*n)**(8\/9)*n**(5\/6)*n**(-4\/5) assuming n is positive.\nAnswer: n**(9637\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*t = -15*t + 2. Which is the second smallest value?  (a) -1\/16  (b) 1\/4  (c) -3\/4  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (15\/9 + -2)*-3. Let z be -3 + n + 5 + -7. Let u = 11 + z. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 113*m**3 + 4616*m**3 + 286 - 2466*m**3 wrt m?\nAnswer: 6789*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - g = 3*g - 8, 5*g - 9 = 22*o - 26*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of 4 + 26*i - 5\/6*i**3 - 1\/2*i**2. Determine m(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 5*u - 17 = 0, 3*w + 90 - 153 = -3*u for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (25 + 3 + -15 - -5) - -97.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 32*p**2 - 66*p - 61. Determine v(34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 3*t + 3*n, 5*n - 8 = t + 1. Let h = -16 + t. Let g(d) = -d**2 - 4*d + 4. Let c be g(-5). Do c and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 + u**2 - 2*u**2)*(2*u - 4*u - 7*u)*(2*u**2 - 2 + 2).\nAnswer: -18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 6*y**3 - 14*y**2 + y - 3. Let d(x) = 11*x**3 - 29*x**2 + 2*x - 7. Let l(j) = 4*d(j) - 7*r(j). Let z be l(9). Suppose z*g - 720 = -122. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -4*g**2 + 148*g - 3. Let z(d) = -d**2 + 70*d - 1. Let b(s) = -5*t(s) + 15*z(s). Factor b(j).\nAnswer: 5*j*(j + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 214?\nAnswer: -3\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*x + 12 = 12. Suppose x = 4*r + 4*t - 7624131 - 4535849, -5*r + 5*t + 15200025 = 0. Round r to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39238060*y**3 + 2*y**2 - 388438582*y wrt y?\nAnswer: -235428360*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uq when two letters picked without replacement from yummmvqmmvmumm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -84450 divided by -6\nAnswer: 14075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 161, -3, 8, 2, -4, 0 in decreasing order.\nAnswer: 161, 8, 2, 0, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 AM and 10:54 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4610 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 1 - 3. Sort -4, u, -5 in descending order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 1 - 6 - 15*l**2 + 12*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 759491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, -818, -5, 1, 5 in decreasing order.\nAnswer: 5, 1, -3, -5, -6, -818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*r**4 - r**5 - 80*r**2 + 80*r**2 + 4*r**4 - 4*r**3 = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-7)\/(98931\/(-14)))\/(-1). Let u = b + 1348\/2019. Let i(x) = -4*x + 1. Let a be i(3). What is the second biggest value in u, 0.2, a, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 60169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jtmmtvtvmvvtjh. What is prob of picking 1 j, 2 m, and 1 t?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*y + 30*y**3 + 120*y**2 - 2*y + 48*y**2 - 35*y**2.\nAnswer: 30*y**3 + 133*y**2 - 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 0.019, -2252?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 7:55 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 12:27 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*n - 10. Which is the closest to -1\/2?  (a) -3\/4  (b) 4  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4960124 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 15 = 2*j, -3*o - o = 5*j + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 - 13*y + 10. Give i(17).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4, -5551, -107, -2 in increasing order.\nAnswer: -5551, -107, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2070 and 70863?\nAnswer: 2125890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-1))\/((77\/154)\/((-12)\/3))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86*v**2 - 9 - 2 + 11 - 88*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 2633 = -63. Is 13\/26 + p\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 13, 37, 69, 109, 157, 213, 277?\n\"Answer: 4*u**2 + 12*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -129 - 4 - (-326990)\/3442?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 4\/906385?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 + 7*z - 17. Determine a(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = 4*p - 7*p. Let g(s) = s**3 - 12*s**2 - 12*s - 8. Let y be g(p). Suppose 0 = -4*o + 16, -2*m + 4*o - y*o - 2 = 0. Let l(c) = 6*c + 4. Give l(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 8:53 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 16) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 10 + 9*w + 9*w**2 + 2*w**2 - 12*w**2. Let y be b(10). Suppose 2*h = -25 + 61. Solve -4*m + 20 = 0, y = -n + 2*n - 4*m + h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1266192409 to the power of 1\/2, to the nearest integer?\nAnswer: 35584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25 - -3. Let y = x + 21. Let v be ((-5)\/(-15))\/(1\/(-9)). What is the closest to v in -4\/3, y, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 15f29 + e?\nAnswer: 15f37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -3*z**3 + 589*z**2 - 200*z + 809. Determine g(196).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -217 - (-471 + 238) - (2 - -1 - -61).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3471 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 4*f = 37, 0 = -4*m - 0*m - 5*f - 5. Let j = 52 + m. What is the remainder when 185 is divided by j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94228588 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 112 and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 269 is divided by 92.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 3*c - 2*k + 1 = 0, 3*k = -12. Suppose 20 = c*z + y, -y = 4*z - 6*y + 5. Solve -5*p - 4*l + 15 = -6*p, 5*p + z*l - 50 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - 7*x**2 - 8*x + 7. Let o be q(8). Let f(s) = 2*s + o*s - 5 + 0. Let j(y) = 8*y - 5. Let a(h) = -6*f(h) + 7*j(h). Determine a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 15, 21, 27?\n\"Answer: 6*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(72)\/sqrt(4))\/sqrt(9))**2 + 1)*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1861726 months in decades?\nAnswer: 0.018218105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13241 - 1385 = 312*k for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 + 0*z**2 + 3*z**2 + 15 - 41.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 63251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2185561 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26204611.\nAnswer: 26204611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 11:08 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-16)\/(-10))\/((-4)\/(-20)). Suppose 3*r + 1 = -i. Is 3 a factor of (-5)\/(r + 2) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67 - 36 + 6*n**3 - 31.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -9826*f**5\/11 + 16184*f**4\/11 - 3298*f**3\/11 - 2668*f**2\/11 - 376*f\/11 - 16\/11 = 0.\nAnswer: -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 6098379.84us?\nAnswer: 0.0000100833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (8 + -5 - (-378)\/91) + -7\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 + -38 + (3 - -4) + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 35 - 395 = 0. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -10\/1011463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*l*r**2*t*w + 2*l*r**2*w + 3*l*r**2 + 842*l*r*t*w + 2*l*r + 4*r**2 - 42*w wrt t?\nAnswer: -4*l*r**2*w + 842*l*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.3  (b) 20\/9  (c) -0.3  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.6 - -21.1. Let t = 18 - z. Which is the nearest to 1\/2?  (a) 1  (b) t  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 5*t**3 - 5*t**2 + 9*t - 1. Calculate j(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 309, 4, -5, -47, -4 in increasing order.\nAnswer: -47, -5, -4, 2, 3, 4, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -2094*j - 115*j - 2623*j - 3461*j in the form o + r*j and give r.\nAnswer: -8293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 475 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1004, -927, -846, -761?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -11211.9647 to the nearest integer.\nAnswer: -11212","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -12*j**3 - j**2. Let y be i(-1). Solve -16*u + y*u - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-320)\/(-136))\/(-5)*8)\/(606\/(-5151))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -280.652 - -0.652. Let y = m + 281.43. Let c = 0.55 + y. What is c rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 - 26*z - 6. Determine l(-25).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 670 by -5.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.97 - 1.97. What is the closest to 0 in 0.02, m, 3, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(80) - (0 + sqrt(80))) + ((sqrt(5) - (-5*(2 + sqrt(5)) - sqrt(5)))*-4)**2.\nAnswer: 2240*sqrt(5) + 5523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44838533?\nAnswer: 257, 174469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2130\/15620*(-22)\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -3*r**3\/5 + 10239*r**2\/5 + 10242*r\/5 = 0.\nAnswer: -1, 0, 3414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**10\/l**10)**(-22\/5)\/((l**(1\/6))**(-2\/19))**(3\/46) assuming l is positive.\nAnswer: l**(1\/874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 - i**2 - 2*i + 5. Let n be u(0). Suppose -2*b - 3 = -n. List the prime factors of (b\/(-4))\/((-7)\/812).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 5*h**2 + 45. Let u(b) = b**2 - 1. Give p(n) - 6*u(n).\nAnswer: -n**2 + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.032818669 rounded to four decimal places?\nAnswer: -0.0328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -4*k**3 + 2*k**2 - 2. Let v(w) be the first derivative of 1 + 0*w**2 - 21\/4*w**4 + 11\/3*w**3 - 11*w. Determine -11*g(p) + 2*v(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 PM and 1:20 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-6)\/4)\/((-57)\/598766) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -9078.2  (b) -10\/9  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 321 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -1198, 24 in descending order.\nAnswer: 24, -1\/4, -1198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of 523*j**5\/60 + j**4\/8 - 31*j**3\/6 - 249*j**2. What is the second derivative of f(w) wrt w?\nAnswer: 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 15) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssssssssttssssssss. Give prob of picking 3 s.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1652*d = -400*d - 2052 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3a + -3b5?\nAnswer: -37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-238)\/(-490) + 4\/(-14))*(-25)\/(-1). Solve 72*v - 5*c + 29 = 74*v, v + y*c = 27 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (8456\/84)\/(2\/6).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 + 3)\/(4\/(0 - 64)*(-64)\/232)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4414 - -230?\nAnswer: 5044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (2 - 4 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 6:26 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 237908 = -38*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3029 is divided by 2995?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0.0219731, -3, 1\/6 in descending order.\nAnswer: 1\/6, 0.0219731, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is 107.11 minus -3470?\nAnswer: 3577.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:53 AM and 11:04 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2080362289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 159 in -1\/2, -22, 0.2, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 42181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2451 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 5*m**3 + 3*m**2 - 6*m + 6. Let u(d) be the third derivative of -d**6\/120 - d**5\/60 + d**4\/24 - d**3\/6 + 2*d**2 + 30*d. What is n(r) + 6*u(r)?\nAnswer: -r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, -0.3, -5, -0.06, -1\/50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 219209 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 687 = -4*z, u + 3*u + 4*z - 564 = 0. Suppose -2*c - u + 21 = 0. Let r = 100 + c. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -6. Let h be 1243\/55 - 6\/10. Suppose -124 = h*j - 18*j. What is the smallest value in 2, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -219*l - 546. What is the smallest common multiple of o(-4) and 243?\nAnswer: 26730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 23\/2, -4, 125?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 11 + 4 = 0. What is the derivative of -10*o**m - 3 + 5*o**3 - 1 + 0 wrt o?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4157793 is divided by 1263.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -5*s**3 + 4. Let h(z) = -z. Calculate h(p(t)).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5057491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 + -9. Let i = -27 + 26.8. Let t be -1 + 1 - (-1 + -3). Which is the smallest value?  (a) i  (b) l  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10395\/840 + -2 + (-19)\/(-8) - (-35)\/(-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(192) + 3*(-1 + sqrt(192))**2)*2 + ((1 + sqrt(192) - sqrt(192)) + 4)*-3.\nAnswer: -80*sqrt(3) + 1141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -116 divided by 152?\nAnswer: -29\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.574 + 356.574. Let r = -355.6 + f. Sort 32\/9, r, -5 in increasing order.\nAnswer: -5, r, 32\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.4 and -638263.\nAnswer: -893568.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -67*o - 259*o + 22*o + (-3*o + o + 3*o)*(3 + 2 - 3) as y*o + l and give y.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**4 - 4*v**4 - v**4)*(0 - 1 + 3)*(2 + 1 - 5)*(2 - 3 - 3).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 - 1)\/6*8. Let q(l) = -232*l**2 - 3*l + 3. Let j be q(p). Let d = j + 6321. What is d rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11729545 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 101011101111010 (base 2) to base 14\nAnswer: 8238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/59)\/(2\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 87*u - 22 - 413. Which is the nearest to -0.1?  (a) -0.7  (b) -2  (c) u  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = y - 4*f, -2*f = 4*y - 30. Suppose 0 = -y*d + 4*u - 31, 0 = d + 2*u - 5 - 0. Let q(p) = 9*p**2 + p - 1. Is q(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -86  (b) 1\/6  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.271 in -216\/7, 0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15*4\/(-980)*7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 - 2*g. Let c be v(0). Let f be (9\/6 - 2 - c) + 2. Factor 1 + f*y + 1\/2*y**2.\nAnswer: (y + 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 922175735*j - 792776035 wrt j.\nAnswer: 922175735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1 + -1.9. Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = 2*q + 16, -4*q - 1399 = -2*v - 1385 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/772 and (-9)\/3 - (-265)\/35.\nAnswer: 5404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*a**3*x**2 + 7*a**3 - a*p*x**2 - 2*a*p*x + 2*p + 4*x wrt x.\nAnswer: -24*a**3 - 2*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -662 - -662. Which is the third biggest value?  (a) 0.03  (b) q  (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -613*y**4 + 666*y**2 - 159700.\nAnswer: -2452*y**3 + 1332*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 1)*(-7 + (-21)\/(-3)). Let x(b) = -4*b. Let a be x(-5). Suppose 3*w = 3*h + 18, 5*h = 5 - a. Solve j = d - w*d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 494 and 1192402.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*r**2 + 5986*r + 1996.\nAnswer: -2*(r - 998)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {j: 5, k: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 13922 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3860 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63245.61 weeks to nanoseconds.\nAnswer: 38250944928000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3, 1563, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11709.\nAnswer: 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4090 is divided by 256.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -11. Let f(j) = -5*j. Let u be f(w). Let i(c) = -5*c**2 + 5*c - 8. Let z be i(u). What is z rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 10320 and 0.8?\nAnswer: 10319.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*l - 87*l - 88*l + 12441 for l.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 47403 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8674140263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -14 in descending order.\nAnswer: -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 29 = -3*y, -2*y + 0*p + 6 = 3*p. Let g = -6 - y. Let m(q) = 2*q**2 + 4*q + 2. Does 8 divide m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.9419 rounded to two decimal places?\nAnswer: -3.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -3*c**5\/4 + 9*c**4 - 15*c**3\/2 - 9*c**2 + 33*c\/4 = 0.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (1122\/528)\/((-2)\/16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 11*t**3 + 7*t**2 - 66*t - 415. What is p(-4)?\nAnswer: -743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1016.99998357 - 1017. What is p rounded to seven dps?\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 - 10*u**2 - 32*u + 98. Let f be w(12). Solve 0 = 5*k + 2*o + 1 - 35, -f*k - 5*o + 22 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 40 - 39.99999969. What is s rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + cadc2f?\nAnswer: cadc31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -26053*q - 495022. Calculate u(-19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-4)\/(k**(-5)*k)*k**(-2\/3)*k*k**(-1\/3) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 - 4*o**2 + 2*o**2 + 9*o**2. Let r(z) = -z**2. Calculate r(k(h)).\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001257732 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 2*j - 6. Let c(k) = k**3 + 5*k**2 + 3*k + 3. Let a be c(j). What is the units digit of (56\/a)\/((-2)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 14 = 3*g. Calculate the greatest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xsfs when four letters picked without replacement from {s: 5, f: 4, x: 7}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 1 = 2*b. Let g be (-2)\/7 + (-5)\/7. Let k(j) = 8*j**2 - 1. Let o be k(g). Solve 4*a = d - 19, b*a - o = -5*d - 0*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -4*u + 4 - 0, 0 = 5*i + 3*u + 75. Let f be (-3)\/2*(-2800)\/i. Is 3\/24 - f\/16 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -5  (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175570.\nAnswer: 2, 5, 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 6*c = -8*c. Let 0*m**2 + 2\/7*m**3 - 2\/7*m + c = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 - 50 - 48 - -9\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -38826a (base 14) to base 10.\nAnswer: -1943238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**5\/4 + 23*d**4\/2 + 307*d**3\/2 + 494*d**2 + 2289*d\/4 + 441\/2 = 0.\nAnswer: -21, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 631956.9 grams to kilograms.\nAnswer: 631.9569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*g**4*v + 2*g**3*v + 8*g**2*v**3 + g*v**2 + 46*v**3 wrt g.\nAnswer: 60*g**2*v + 12*g*v + 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13308908?\nAnswer: 2, 3327227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2292422905\/2936 + 780798. What is the common denominator of -55\/16 and f?\nAnswer: 5872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(85)*-6)\/((1*sqrt(30))\/sqrt(6)) + (sqrt(17) - (sqrt(51)*-2)\/sqrt(3) - (4 + sqrt(119)\/sqrt(7) + sqrt(17))).\nAnswer: -4 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 268, 447, 552, 583, 540, 423?\n\"Answer: -37*b**2 + 290*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 - -27. What is the closest to 2 in 4, t, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -101, -252, -465?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1914*q**3 + 11413*q**2\/3 - 5600*q\/3 - 71\/3.\nAnswer: -(q - 1)**2*(5742*q + 71)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17\/102*12)\/(4\/(-60)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**5\/7 - 1040*n**4\/7 - 10534*n**3\/7 - 34892*n**2\/7 - 46600*n\/7 - 21200\/7 = 0.\nAnswer: -5, -2, -1, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 123067, 123068, 123025, 122938, 122807, 122632?\nAnswer: 122413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*q - 20 - 13 = 0, 2*q + 59 = 3*i. Solve 3*k + 2*k + i = 4*m, 2*m - 13 = 3*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-49))\/j*j\/(j\/((j*j**(2\/67))\/j*j))*j)\/(j**(-14)\/j*j**21\/j) assuming j is positive.\nAnswer: j**(-3482\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a microsecond in nanoseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 315\/(-135) + 2774\/6 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 + 28. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**10\/l*l\/(l\/(l**(5\/3)\/l)*l)*l*l)**(-8))**23 assuming l is positive.\nAnswer: l**(-5888\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1477*l + 5 - 1 + 4 - 1394*l + 2 - 5.\nAnswer: 83*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1\/2, -14\/23, 3\/4 in decreasing order.\nAnswer: 5, 3\/4, 1\/2, -14\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -43*i + 2221. What is a(49)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of -n**6\/45 + n**4\/18 + 3*n. Factor b(h).\nAnswer: -2*h**2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -185, -179, -171, -161, -149, -135?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23 and 394151?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1297411.56s in days?\nAnswer: 15.0163375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -102.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 + 5343\/(-6) - -2)*-4. Is 14 a factor of (-10 - l\/(-10)) + (-4)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2081*b + 32. Let j(a) = 1387*a - 23. Determine -5*d(o) - 7*j(o).\nAnswer: 696*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/2 + 10045*t**2\/2 - 977538*t.\nAnswer: t*(t - 191)*(t + 10236)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from uudu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -61.31646 + 0.02646. Let g = -0.51 + x. What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -397031 rounded to the nearest 1000?\nAnswer: -397000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 71 or 53576?\nAnswer: 53576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**4 - u**3 + u**3)*(0*u + u - 3*u) - 20*u**5 + 5*u**2 - 3*u**2 + 18*u**5.\nAnswer: 2*u**5 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/3628248 and 7\/1360593?\nAnswer: 10884744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1079406400 to the nearest one hundred thousand.\nAnswer: 1079400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = -l + 9, 541*l = 4*y + 537*l - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2*i**3 + 104*i**2 + 2*i - 64. Let o be a(52). Suppose -4*x + 119 = 3*y, 2*y - 5*x = 5*y - 118. Which is greater: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/84*-4)\/(19\/950*(-2)\/7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -9\/490 - 4\/49. Let s(z) = 5*z**2 + 319*z + 1139. Let o be s(-60). Sort o, 0.5, u in decreasing order.\nAnswer: 0.5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76161 (base 11) in base 4?\nAnswer: 123001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 52*1617106\nAnswer: 84089512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 3 e when four letters picked without replacement from errkeeeek.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -175 + 175 - 4*k + 2*k + 5*k + 0*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 630874332 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 - 7*y + 28. Calculate the least common multiple of 6 and f(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -857120.4198 to the nearest 10000.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3170808?\nAnswer: 2, 3, 47, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 0*i - i + 2*i. Let y(u) be the first derivative of -u**3\/3 + 1. Determine w(y(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*c**5 - c**4 + 157*c**3 - 344*c**2 - 3*c - 1 wrt c.\nAnswer: -240*c**2 - 24*c + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -35882*l**2*s**2 - 78533*s**2 wrt l.\nAnswer: -71764*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29 - -41. Let t = -0.013 - 11.487. Let v = t + u. Which is the second biggest value?  (a) 0.4  (b) v  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 572, 5, -5, 2, 88, -12 in ascending order.\nAnswer: -12, -5, 1, 2, 5, 88, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - 5*f - 10, -4*k + 14 = k - f. Let j be 238\/18 + k\/(-9). What is the tens digit of j*(0\/(-1) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*i + 2 - 2 = -0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 6*s = -8*s + 3, 4*s + 8 = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 651, 1318, 2005, 2718, 3463?\n\"Answer: y**3 + 4*y**2 + 648*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -254, -192, -28, 286, 798, 1556?\nAnswer: 2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -939, -1698, -2453, -3204, -3951, -4694?\n\"Answer: 2*r**2 - 765*r - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2297260*c**3*g**2 - 1359*c**3*g - 164*g wrt g?\nAnswer: -4594520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -6\/41, 0.2, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -639 or -2569?\nAnswer: -2569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 3*q)*(4 - 5*q**4 - 4) + 3*q**3 - 3*q**3 - 2*q**5.\nAnswer: -17*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - 3*y**2 - 4*y + 6. Let d be r(4). Suppose 0 = 5*z + 4*j - 1235, 3*j - d*j + 989 = 4*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -75*v - 18*v - 141*v + 9*v to q + a*v and give a.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vawa when four letters picked without replacement from aahfahvahafhwhhhah?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -137200 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 + (-3)\/(-1))*1. Sort -3, 0, s in descending order.\nAnswer: s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3570, 3569, 3566, 3561, 3554, 3545, 3534?\n\"Answer: -v**2 + 2*v + 3569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/15, 1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 52865.19 milligrams in micrograms?\nAnswer: 52865190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1712477905 take away 6.159?\nAnswer: -1712477911.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, g: 6, y: 11}. What is prob of picking 1 g and 3 y?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 44337 - -1b?\nAnswer: 44356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 1396*b**2 - 31*b + 32. Is h(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(2*sqrt(468) - sqrt(468)) + -1 + (sqrt(468) - 2*(0 + sqrt(468)))*2 + -3)**2*3 + 5.\nAnswer: 864*sqrt(13) + 50597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w + 7. Let r be a(-5). Let v be r\/(-6) + (-18644)\/120. Let i = v + 161. What is the common denominator of 119\/6 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 1079 + 235 = 0. Suppose 3*y - 140 = -g. Let r = y - -136. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1190 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 40180471?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d**2 + 11*d - 15. Let q be c(-7). Suppose 2*l + 2 = -2*b, -4*b - 4 - 5 = -l. Let j be ((0 - l) + 3)\/(-2). Sort 2, j, q in decreasing order.\nAnswer: q, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16344709, -16344708, -16344707, -16344706, -16344705?\nAnswer: -16344704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, g: 13}. Give prob of sequence gg.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c**4 - 3*c**2 + 3*c**2 + 0 + c + 4 - 20*c**3 + 19*c**3 to the form v*c**2 + o*c**4 + w*c**3 + h*c + x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 5*j = -26, -176*j + 174*j - 17 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 6, s: 1, j: 5, k: 6}. What is prob of sequence jjs?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -8.9 * -0.5275\nAnswer: 4.69475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (3*sqrt(22)\/((2*sqrt(242) - sqrt(242)) + sqrt(2)))**2)*-3.\nAnswer: -81\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 190\/50 - (-2 - -3)*3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**2 - 123365*x - 370140.\nAnswer: 5*(x - 24676)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*(-5)\/(-15)*18. Solve -6*x + d = -6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 + 13. Suppose 5*m - 2*r + 35 = -7*r, 5*m + 2*r = -32. Is m bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.072 - 0.072. Let g = 119 - 949\/8. What is the closest to 1 in 0.1, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 164127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -223 + 26*f**2 + 24*f**2 + 239 wrt f?\nAnswer: 100*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 64\/(-48)*(-9)\/(-6). Is ((-175)\/(-100))\/(p\/(-136)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z**(-33)*z*z*z\/(z*z*z**(-6\/7)))\/(z*z\/(z\/z**(1\/2)))**43 assuming z is positive.\nAnswer: z**(-1311\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 319928 and 232?\nAnswer: 319928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11520 and 2160.\nAnswer: 34560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 12:40 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*d**2 + 0*d**2 - 6*d**2)*(0*d - 2*d + d) + 4*d**2 - 4*d**2 + 3*d**3 in the form a*d + g*d**3 + i + y*d**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -937558 rounded to the nearest ten thousand?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3844*v + 1186*v + 1190*v + 1471*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -0.9647974.\nAnswer: 3.9647974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -467, 0.3, -2\/15, -2, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 412 and 5677772.\nAnswer: 5677772","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - 12. Let z = 4 - u. Solve 2*o = -o - z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 < 128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -5  (c) -7  (d) -9807  (e) -1  (f) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -8680*k + 381927. Calculate o(44).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 + -13. Let t(a) be the second derivative of -a**2\/2 + 4*a. Let r(i) = -7*i + 6. Let o(b) = -r(b) + 3*t(b). Let m(l) = -3*l + 4. Give p*m(j) + 2*o(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -148 or -85?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - 2*s + 8. Let w be t(0). Suppose 0 = 3*d + 3*f + 18, -w*d + 3*f = -4*d + 10. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 3 - 1)*(0*i + i + 0*i)*(3 - 3 - 3*i) + (0*i + 0*i - 4*i)*(-718 - 719 + 1442 - 44*i) to l*i**2 + g + r*i and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103550.\nAnswer: 2, 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18622732 + -2.\nAnswer: 18622730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -7*i + 59. Let c(o) = -20*o + 206. Let l(d) = -7*a(d) + 2*c(d). Let t(q) = -45*q + 6. Give 11*l(s) + 2*t(s).\nAnswer: 9*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/2, -4\/5, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 7, -18, -11, 3 in decreasing order.\nAnswer: 7, 4, 3, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 960 = -84*r - 1468 + 496 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1197 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/28 and -81\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -800 + 165 = -5*f. Suppose 1516 = 3*z + f. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (9 - (0 - 0) - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 100 = -90 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = w - 2*z + 25, -20 = -4*z. Let i = -22 - -37. Calculate the remainder when 39 - (w - -1 - 1) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.19 + 0.35. Let g = j - 0.36. Is g not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 42696?\nAnswer: 4269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*g + 16*g = -13. Which is bigger: -2\/39 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14?  (a) 0  (b) -3  (c) -0.5  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 388 + 3*o - 1551 + 387 + 388 + 389 + 6*o.\nAnswer: 9*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**10*h)\/(h\/(h\/((((h\/(h\/h**(-26))*h)\/h)\/h)\/h)*h))*(h**(-5))**(-19))**33 assuming h is positive.\nAnswer: h**4455","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -i + 15. What is the remainder when 21 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -k**2 - 714*k + 2193*k - 660*k + 1988*k as y*k + a*k**2 + i and give y.\nAnswer: 2807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/5 - 1570584*v\/5 + 628232.\nAnswer: 2*(v - 785290)*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (9 + -15)\/(-2 - 0). Is ((-577)\/4 + c)*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -200226.1 - -227341. Let x = 27118.89978 - v. Let g = x + -4. What is g rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3147 + 6342 - 3195 - 25282*t in the form n*t + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.7*-502.\nAnswer: 351.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000654311417 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6\/133 and 11\/146110?\nAnswer: 1022770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59660\/22841 - 6\/1757. Which is bigger: p or -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 481.9801 + -482. Let g = -0.02 - j. What is g rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -5*r**5 + 71645*r**4 - 342438930*r**3 + 547099063290*r**2 - 5439887402265*r + 4893130706265 = 0.\nAnswer: 1, 9, 4773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - 4. Let y(b) = 5*b + 2. Let i(d) be the third derivative of 11*d**4\/24 + 5*d**3\/6 + 2*d**2. Let v(x) = 6*i(x) - 13*y(x). Determine v(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l - 3. Let v be b(-6). Suppose -v*n + 4 = -4*n. Does 21 divide ((-2)\/n)\/((-2)\/(-164))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18843984 is divided by 9421992.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (((sqrt(833) + sqrt(833) + sqrt(833) + sqrt(833)*-2 - sqrt(833) - sqrt(833))*-6 + -5)*6 + sqrt(833)*-3*3 + -2*(0 + sqrt(833)))**2.\nAnswer: -10500*sqrt(17) + 521527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + -2 + 2)*-155. Suppose -p = r - 5*p - 44, -4*r + u = 5*p. What is the remainder when r is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -73858200*b*i**2 - 11260457*b - 6 wrt i.\nAnswer: -147716400*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5a3389 - 4?\nAnswer: 5a3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllllllllllullulllll. Give prob of picking 1 l and 1 u.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 951.1835s in microseconds?\nAnswer: 951183500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of 923*j**4\/2 - j**3 + 131*j + 674. Find the third derivative of x(t) wrt t.\nAnswer: 11076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -8*j**2. Let v(t) be the third derivative of -t**4\/4 - 137*t**2 + 2. Calculate z(v(k)).\nAnswer: -288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3974*f - 47290 - 225086 - 54948 = -37222 for f.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -18689*l*w**2 + 645*l - 5*w**2 - 53342876*w wrt l?\nAnswer: -18689*w**2 + 645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*c - 54 = x - 3*x + 27*c - 13*c, -3*c + 54 = 2*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 519 + -765. Suppose 8*n = 11*n + 1209. Let u = z - n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8 - -0.314?\nAnswer: -1.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 - 3 - 1)*(-6 + 0 + 4) + (-1 + 3 - 3)*(1 - 4 + 0))*(2 - 2 + 4*k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -63430.96 rounded to the nearest one thousand?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*g + 2*g - 4*g)*(-20 - 4 - 5) as a*g + j and give a.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*x + 70 = -39 - 83. Sort -5, -1, 16, x in ascending order.\nAnswer: x, -5, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 708  (b) 1.3  (c) 5  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -56*f**3 + 799*f**4 - 13*f**3 - 801*f**4 + 5*f**3 = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.13 and 1373.\nAnswer: -178.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 3*h**2 - 6. Suppose 4 = l + 2. Suppose -92 = -4*m - 5*g, -2*m = -7*m + l*g + 148. What is the remainder when m is divided by n(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 2  (c) -4196\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/12)\/((-1)\/(-3)). Let s = -1 - -1. Is x <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7 + -2 + -1)*-1. Suppose 0 = -h + 4*v + 17, -3*h + 0*h = -5*v - 16. Let i = h + n. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 10 = -3*o - 6*q, 5*o - q - 2 = 0. Let v be -1 + -5 + (1 - 0). Sort -2, v, o in decreasing order.\nAnswer: o, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 241*g**4 - 29*g**3 + 4861*g**2 - 6?\nAnswer: 5784*g - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-65*u - 175*u + 1 + 62*u)*(-2 + 4 - 1) as m*u + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(((-16)\/720)\/((-13)\/273))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of -p**3\/3 + 3*p**2 + 21*p. Give w(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11926361 + -11926306.999544. Let c = o + -54. What is c rounded to five decimal places?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ayaayy. Give prob of picking 3 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.01, -5, 18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6115666 - -4?\nAnswer: 6116003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*w - 23*w**2 + 278 - 1330 + 3*w - 8*w.\nAnswer: -23*w**2 + 2*w - 1052","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 132 = 3*u + 195, -5*u - z - 545 = 0. Let k = u + 120. Solve 0 = -2*w - k + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -3, -157 in decreasing order.\nAnswer: -3, -14, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7713 is divided by 2643?\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*x = 42*t + 71*x - 340, -3*t + x = -25 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j**2 + 13*j + 1. Let s(g) = g**2 - 6*g - 1. Calculate 13*s(f) + 6*x(f).\nAnswer: f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -17*c - 4. Let w be f(-2). Let k = w + -5. What is the remainder when k is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2 = -5*i + 8, 4*i - 4*t - 44 = 0. Is 2 a factor of i*(-3 - (-40)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mwwwlmll. Give prob of picking 1 m, 1 l, and 1 w.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(1080))\/sqrt(3))\/(sqrt(50) + -5*5*sqrt(50)).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29732*n - 660 + 330 + 330 + 29717*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-5 - -13) + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -9*v + 41. Let p be l(5). Let b be ((8 - 4) + p)\/(-1 + 3). Find the third derivative of -5*k**5 - 4*k**5 + 7*k**2 + b*k**2 wrt k.\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -177466*n**6 + 2*n**2 + 6358*n + 1 wrt n.\nAnswer: -21295920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-70)\/15 - (-1 - 2)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -5*f + 630, f = -q - 62 + 198. Suppose -5*j = -2*z - 615, 0 = j - 5*z + 3*z - f. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 72*-4.7.\nAnswer: -338.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4470416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/3*(-6)\/(-2). Let m = -696 + 701. Let z(s) = -3*s**2 + 19*s - 17. Let y be z(m). Solve 3*w - 4 = -p*r, -3*r = -2*w - w - y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54099?\nAnswer: 3, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -6187219.\nAnswer: 2474887.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 - 45596.542.\nAnswer: -45601.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4170?\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) -4  (b) 3\/13  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -5*t - 43. Let v be h(-9). Suppose -v*c + c = -9*c. Solve c = -2*n - 2*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 - 4*f**2. Let c be k(-4). Let d = -739 + 765. Suppose 4*r = 3*n + d, -19*r - n = -22*r + 17. Solve c*h = h - r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -5. Let i = -1.1 + 6.1. Let j = i + -7. What is the nearest to j in 0.2, 2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 + 13. Let c be f - 1 - -3 - -2. Let p = 0 - c. Solve 5*b - 18 = 2*q, -2*b + 3*b - 2 = p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -257*n**3 - 20?\nAnswer: -771*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - -12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u**(-1\/10)*u**(-1\/17) assuming u is positive.\nAnswer: u**(143\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 295\/(-30) + (-1)\/(-3) and 103\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 8 = -0*x. Suppose 3*k - 2 = -2*q, -4 = k - 2*q - x*q. Suppose 2*h = -k*h + 14. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 3246.\nAnswer: 3246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 2) + 17 + 17 + -42?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8086\/21?  (a) -7  (b) -4  (c) -3  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39 + 45. Suppose -i*m = -0*m - 4254. Let d = m - 190. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 19\/5, 1, 4.6456, 2, 0.3?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 + -1 - -23)*(-4)\/(-28)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*v + 108*v = -924. Let y = v - -304. Which is the fourth biggest value?  (a) -1\/4  (b) 1\/2  (c) -0.09  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12069456 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -171117 and -1385.4542.\nAnswer: -172502.4542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -141 times 202?\nAnswer: -28482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide (43\/(-86))\/(3\/108978*-1)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254047409 minus -41?\nAnswer: 254047450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -40 - -35. Let k be -5*3\/(-15)*3. Suppose -4 = -z - k*z. Put 0, s, z in decreasing order.\nAnswer: z, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 + 5*m + 3 - m - 3*m**2 + 3*m**2 - m**2. Suppose -3*y + 3*k = 0, -3*y + 2*k + 20 = -6*y. Is s(y) 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 {p: 4, w: 11, z: 3, k: 1}. What is prob of sequence ww?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9170.83cm?\nAnswer: 91708300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u + 7. Let q be t(7). Suppose q*j = -5*j + 10. Let y = j - 4. Put y, 1, 0 in descending order.\nAnswer: 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 + 6*c + 7. Let g be f(-5). Let i = 2 - g. Differentiate -j + i + 0 + 2 wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 686.349 + 1.651. Let f = 688.0000614 - k. Round f to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 0*l - 135. Let n = l - 673\/5. Let y = -6 - -6.6. Which is the second biggest value?  (a) -1\/5  (b) y  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -86 + 58.2. Let k = w + 28. Let b = 5\/8 + -11\/8. What is the third biggest value in k, -0.04, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*d - 6 = 4*p + 58*d, 3*p + 18 = 3*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10\/13?  (a) -7998  (b) -0.009  (c) 2  (d) 0.5  (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -65\/84 + -10\/21. Put -0.1, 2, m in descending order.\nAnswer: 2, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 16 = -10. Let y(x) = x**3 + 2*x**2 + x + 2. Give y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1222 by 26.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 78*g*k**2*y - 3*g*k**2 - 9*g*k + 62575*g*y - 9*g + 1773*k**2 - 27*k + 4*y + 2 wrt y.\nAnswer: 78*g*k**2 + 62575*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 - 32*b.\nAnswer: 2*b*(b - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -2*x**4 + 1205*x**3\/2 + 21659*x**2\/2 - 56169*x + 13356 = 0.\nAnswer: -21, 1\/4, 4, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 567532201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + 8*x**2 - 10*x - 4. Let d be o(-9). Let j(i) = i**3 + d*i + 6*i**2 + 2 - 2*i**2 - 4*i. Let a = -19 - -16. What is j(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4944144 divided by -272?\nAnswer: 18177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3654.585588 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -380 - -396. Let x = 105 + -58. Calculate the remainder when x is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 1242?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/3)\/(39\/3)*(-29382)\/(-4897)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2 + x + 10. Let d be p(0). Let b = 15 - d. Suppose 2*i - 3 = 5*h - 28, 5 = -b*h - 4*i. Solve 2*w + 12 = -2*u - h*w, 15 = -5*u - 5*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -3*j**2. Let p(l) be the third derivative of l**7\/5040 - l**5\/30 + 4*l**2. Let w(n) be the third derivative of p(n). Determine c(w(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1030 - 135?\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand x**2 + 2*x - 2*x + (x - 4 + 4)*(2*x + 0*x + 0*x) + 0*x**2 + 2*x**2 - 3*x**2 + 114*x**2 + 1480*x**2 + 1598*x**2.\nAnswer: 3194*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 63166.12mg in nanograms?\nAnswer: 63166120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.52553 equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1539) - ((sqrt(1539) - (1*sqrt(1539) + sqrt(1539) - sqrt(1539))) + 1))**2*-6 - (-4*sqrt(1216)*-1 + -4)**2) + -3.\nAnswer: -28715 + 364*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24 - -43. Is 21 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1473290220 to the power of 1\/2, to the nearest integer?\nAnswer: 38383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2 - 6*s + 14. Let l be a(6). Suppose -3*z + 35 = 4*q - 4*z, 4*z = 2*q. What is the remainder when ((-78)\/4)\/((-7)\/l) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -31 + 59 - 9322*l**3 - 26 + 1932*l**3 in the form v*l + z + r*l**3 + t*l**2 and give r.\nAnswer: -7390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 350087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffguueeggeefe. Give prob of picking 2 u and 2 g.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 360 and 52830?\nAnswer: 211320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 0, 5, 1\/82, -0.4?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79986, -79995, -80022, -80067, -80130?\nAnswer: -80211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111.0827 days to minutes.\nAnswer: 159959.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30007.\nAnswer: 37, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0623133 * -34.\nAnswer: -2.1186522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5471.\nAnswer: 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4691464*q + p = 4691463*q - 11, -7*q + 5*p = -31 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = r - 4636, -r = -6*r - x + 23196. What are the prime factors of r?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 522 (base 7) to base 15.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**3 - 14562*r**2 + 26513760*r - 26499200 = 0. Calculate r.\nAnswer: 1, 3640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of v**2\/2 + 5*v - 5. Let k(r) = -r - 6. Determine 5*k(w) + 6*t(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nkjoonpnnp. What is prob of picking 2 p?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of -v**2 - 5*v + 1\/3*v**3 - 2. What is the remainder when 7 is divided by k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31506.41 times -0.8?\nAnswer: 25205.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1560, 2768, 4782, 7602, 11228, 15660, 20898?\nAnswer: 26942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -922.91 to the nearest integer.\nAnswer: -923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -52*132689\nAnswer: -6899828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*x, 3*c + 6 = x + 2*x. Suppose c*j = -2 - 7, -g + 10 = -j. Calculate the remainder when 10 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q + 17. Let k(o) = 50 - 51 + 53 - 52 + 97*o. What is k(h(n))?\nAnswer: 194*n + 1649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-69)\/(-2)*258\/9. Let p be y\/7 - (-16)\/(-56). Suppose -2*b = u - p, -4*u + 4*b = -3*u - 135. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18643 and 1084009.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 369 + -372.57. Let h = -0.07 - d. Let l = h + -3.6. Put 4\/5, 3, l in decreasing order.\nAnswer: 3, 4\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 7838 - 28494 = -2*w, 3*g = w - 18150. Let u = 48932 - w. What is u rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26859934.\nAnswer: 2, 13429967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -169 - -174. Suppose -m*b + 19053 = -2*p, 5*p - 3043 - 4584 = -2*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.03 and 424317.\nAnswer: 424316.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 23 - 7 - (-20)\/(-5). Suppose -2*m + 7*m - 35 = 0. Solve 0 = -m*k + v*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**3 + 15352*f**2 + 370240*f + 1977344.\nAnswer: -4*(f - 3862)*(f + 8)*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*y + 356*y - 10433 = -30953 for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -127 - -127. Suppose k = -2*b + 294 + 526. Does 41 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 + 74147216*s + 687226205068832.\nAnswer: 2*(s + 18536804)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p + 2 - 2. Let o(g) be the third derivative of g**6\/360 + 2*g**3\/3 - 3*g**2. Let v(n) be the first derivative of o(n). Give m(v(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 26 - 22. What is the second derivative of -23*i - 1196*i**4 - i + 1179*i**o wrt i?\nAnswer: -204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d**(-2\/13)))**44\/(d**7\/(d*d*d*d**(4\/3))) assuming d is positive.\nAnswer: d**(160\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350690516 is divided by 289?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-8)\/o*o*o)\/o*o**(-1\/7))\/(o\/o**(-7)*o*o\/(o*(o**(1\/17)*o)\/o)) assuming o is positive.\nAnswer: o**(-2033\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -38.10769 times -1\nAnswer: 38.10769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 57980272 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -68910.945 rounded to the nearest one hundred?\nAnswer: -68900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z + b = 7*z - 1, 5*b + 5 = -5*z. Solve 2*v + 2 = v + 2*s, 5*s - 10 = z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 3*i + 0 = -1, -i - 7 = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 142 divide 2031452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 8 and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 - (1\/1)\/1. Suppose -4*h - 3*n - 49 = 0, h - z*h - 11 = -3*n. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b. Let w(q) = 2784410*q + 5. Determine w(u(f)).\nAnswer: 8353230*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 + 20. Suppose 9 - 81 = -2*w. Solve 4*q + 5*f - w - 4 = 0, k*q + 2*f - 23 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 353400 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2 + 1248*b + 129792.\nAnswer: 3*(b + 208)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-9)*z**(4\/13)\/z)\/(z**8\/(z**(-4)\/z)) assuming z is positive.\nAnswer: z**(-295\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -4*x + 1. Let f be s(-1). Suppose y - 62 = -3*b - 18, -f*b + 5*y = -100. Suppose -3*u = -u - 60. What is the remainder when u is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12263*z + 659907 = -100399 for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -739464*s**2 + 1129*s - 1243 wrt s.\nAnswer: -1478928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -928 - -928.786. Round s to two dps.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39)*1*1)\/(sqrt(3) + -1*sqrt(147)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -399108.9936899956 - -399108.914. Let w = k + -7.6203021744. Let i = 7.7 + w. What is i rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 8*k**2 + 2*k - 1. Let c be l(-2). Let s be (30\/c*-75)\/(25\/(-43500)). Round s to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (40\/4)\/(-5) - -2. Suppose 9*r + 86 + 2560 = t. Let n = -175 - r. Is 29 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (441*r - 13*r**3 + 1276*r - 359*r + 11*r**3)*(3 - 2 - 2) to v*r**3 + o*r + x*r**2 + f and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1424 (base 10) to base 9.\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, 3, -3, 4, -7, 8.\nAnswer: -7, -3, 3, 4, 8, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/(-2) + 1\/2. Let r be q\/(-1*(1 + 0)). What is the second derivative of -6*j + 2*j**r + 3*j + j**2 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3059369831290 + 30.\nAnswer: -3059369831260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 610253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -166, -324, -568, -898, -1314, -1816?\nAnswer: -2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 111 and -0.17560129?\nAnswer: 111.17560129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -36*z**2 + 44*z - 8 = 0?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 - 22 = r. Solve -r = -z - 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 8 + (4 - 2 - 0). Let d be 12*((-1)\/(-2) + 0). Let l(z) = z**3 - 6*z**2 + z - 2. Let o be l(d). Calculate the greatest common factor of f and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 6:28 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - k + 35 = 0. Let v = 20 + k. Let b = v - 12. Solve 0 = z - b - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -78616 by 574.\nAnswer: -39308\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, 2, 16.57?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -24\/29 and (-196)\/(-18) + -3 + 0.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -7*n**2 + 11*n - 4. Suppose 6 = -5*o - 44. Let g be b(o). Let z = 4837\/6 + g. Calculate the common denominator of z and -47\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*r**3*v**3 - 126091*r**3*v**2 - 45*r*v**3 - 2*r*v + 3*v**2 + 29 wrt r?\nAnswer: -54*r*v**3 - 756546*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 12*b + 3. Calculate z(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3564.5 and -0.2.\nAnswer: -3564.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2 + 10066*y + 151215.\nAnswer: -(y - 10081)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 12, v - 3*a - 7 = 3. Let j(l) = 2*l**2 - 1. What is j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1415 plus -0.073?\nAnswer: 1414.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -369, -3, 0.02, -4\/5 in decreasing order.\nAnswer: 0.02, -4\/5, -3, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r - 9*r = 129. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 793245986 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - ((-140)\/120*6 - -16).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/2  (b) -5  (c) 0.3  (d) -4  (e) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/24*1056\/(-44000)\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 3*x**2 - 2*x - 2. Let v be w(-3). Solve 9*u + 10 = v*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 13411508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2730, -2842, -3024, -3276?\n\"Answer: -35*i**2 - 7*i - 2688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**2. Let z(j) = -j. Give z(f(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 6*n = -7*n - 13, 4*z + n - 3 = 0. List the prime factors of (-11)\/(-11) + (z - -949).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 + 11*g - 13. Let a be l(9). Let z(s) be the third derivative of 0*s**3 + 0 - s**2 + 1\/6*s**4 - 1\/30*s**a + 0*s. Factor z(j).\nAnswer: -2*j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39135*c**2 + 13571*c**2 - 67*c + 67*c.\nAnswer: -25564*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of -65*u**7\/42 - 227*u**3\/3 + 17*u**2 + 8*u. Differentiate n(f) with respect to f.\nAnswer: -1300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3435 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/2))**(-18\/11)\/((b*b\/(b**(3\/4)\/b)*b)\/b)**(-43) assuming b is positive.\nAnswer: b**(4221\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(3 - 25\/9) + (8 - 16)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.0114 to 1 decimal place.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 7 = -w, -5*x - 1 = 14. Let j = w + 9. Let a be (j + 3 + (-13)\/3)*-6. Solve 3*u + d + a = -5, 0 = u + 2*d + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of 7*p**7\/18 - 7*p**6\/4 + 109*p**5\/36 - 5*p**4\/2 + 10*p**3\/9 + 7*p**2. Factor y(x).\nAnswer: 5*(x - 1)**2*(7*x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -32125?\nAnswer: 32121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/30 - -1) + (-9451)\/(-780) + -12.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -34*z**3 + 22*z + 5. Let l(s) = -33*s**3 + 23*s + 4. Let f(p) = 4*j(p) - 5*l(p). Find the second derivative of f(r) wrt r.\nAnswer: 174*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - d**2 - 1593*d - 2030*d + 1228*d to f*d**2 + w + s*d and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -8*k - 2*k + 2*k + 2*k**2 + k - 7. Let m(n) = n**2 - 5*n - 5. Give 5*a(l) - 7*m(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 132346*a**5 + a**4 + 5*a**3 - 15037*a**2 - 10*a - 11 wrt a.\nAnswer: 7940760*a**2 + 24*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 2 y when four letters picked without replacement from {s: 9, f: 8, y: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (k + 5 - 5)*(-1282197*k**2 + 1282197*k**2 + 43*k - 9*k**3) to n + a*k**3 + z*k**2 + p*k + w*k**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 12*u. Let d be t(1). Suppose 3*y + n - d = 0, -7*n + 21 = 2*y - 2*n. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.70575626 rounded to two dps?\nAnswer: -13.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-15)\/9*(-9)\/(-3). Suppose 0 = -3*f - i, 11*f - 12*f - 5*i = 14. Let v(k) = 3*k**2 + 1. Let h(r) = r**2. Calculate f*v(y) + g*h(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 483989313*h - 635454819 wrt h?\nAnswer: 483989313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/21, 0.255, -1 in decreasing order.\nAnswer: 0.255, 2\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 438\/101 in 5, 8.6, 2\/3, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 155 + -151. Let c be n\/10 + (-46450002)\/5. What is c rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/7)*j*j**3)\/(j**(2\/23)*(j**(2\/11)*j)\/j) assuming j is positive.\nAnswer: j**(6355\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -266 or -3994\/15?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16304?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/(n**1\/n))*(n*n*n*n**5)\/n)\/(n**(-7)\/(n**(-2\/5)\/n)) assuming n is positive.\nAnswer: n**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 1 - (5 - -1 - (20 + -8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**2 + 446*f + 447 = 0.\nAnswer: -1, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-6)*12\/(16\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-176)\/10 + 14\/(-35). Suppose 8*q = -4*x + 5*q - 117, 3*x + 4*q + 93 = 0. What is the units digit of (7820\/l)\/(-2) + 6\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1438\/6)\/(13\/(-3)). Suppose 2*w - 2*u - 106 = 0, 3*w - 2*u = 136 + 25. Let v = w + y. Is 1 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 7*p. Let z(k) = -21*k. Let l(w) = 44*w + 50. Let h be l(-1). Determine h*z(c) + 17*q(c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 58038245*b**4\/4 + 2518791693*b**3\/4 + 497650279*b**2\/2 - 292785*b + 86 = 0.\nAnswer: -43, -2\/5, 2\/3407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.020897198 to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.250092 rounded to 3 dps?\nAnswer: 5.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2\/9, 1\/8, 4\/7, 1\/2 in descending order.\nAnswer: 4\/7, 1\/2, 1\/8, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 16\/567 and -22\/63.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 35556720 and 6.\nAnswer: 35556720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 694 at least as big as 1603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/8 + 1483669*b\/4 - 2967337\/8.\nAnswer: -(b - 2967337)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 134 - 46 - 5 + 23 - 26 - 5*u. Give o(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24 + 3331031?\nAnswer: 3331002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**3\/4 + 269*h**2\/4 = 0. What is h?\nAnswer: -269, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*m**2*o**5 + 2017*m**2*o**3 + 2296*m**2 + 15*m*o wrt o.\nAnswer: 60*m**2*o**3 + 12102*m**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4330.174 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2548 - 1444. Calculate the remainder when d is divided by 1102.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -154320, -154315, -154312, -154311, -154312?\nAnswer: -154315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n and 1 e when four letters picked without replacement from ejnenntennnnjnne?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -218, 10, -61, 4, -17, -3.\nAnswer: -218, -61, -17, -3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2338, -4801, -7264?\nAnswer: -9727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d - 15. Calculate w(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(2\/5)*u)\/(u\/(u*u*((u\/(u*u**(3\/4)))\/u)\/u)))**36\/((u*(u**1\/u)\/u)**(-48)\/(u\/(u*u**5)*u**(-1\/4))) assuming u is positive.\nAnswer: u**(-357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -61034*m**3 + 11*m**2 - 189?\nAnswer: -366204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -24*b + 25*b. Let g(k) = 3*k**3 + 7*k**2 + 5*k - 10. Is g(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 2) + (-14 - (0 - 8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -4*c**2 + c - 5. Let p(s) = s**2 - s + 1. Let h(r) = -n(r) - 3*p(r). What is the remainder when 31 is divided by h(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + u + 6 = 5*l, 0 = -5*u - 5. Suppose l*c - c = -36. Let y(s) = -s**2 - 9*s + 2. Let p be y(c). Solve -1 = 2*t + 3*q + 6, -p*q - 10 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10445195 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-24))\/(-9*30\/(-1215))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 99.952 - 100. Let j = i + -5.032. Let b = j + 5.07779. What is b rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1053) + -2)**2 - sqrt(13)) + -3.\nAnswer: -37*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -74 + 151. Suppose -o = 2*w - 85. Solve -1 = w*i - 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 1 in ascending order.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/(0 + 1)*-3)\/(-1). Suppose -c*b = -5*d - 82, -d - 3*d - 104 = -4*b. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert c (base 13) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d - 126 = -13*d. Calculate the remainder when 82 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 13, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/8892 and 139\/1891032.\nAnswer: 5673096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 1\/4, 2, -6, 59.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 1 - 2)*(41 - 15 - 12)*(-4 + 4*v + 4)*(v - 5 + 5) to the form o*v + b + k*v**2 and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1258)\/(-5) - (-9)\/(135\/6). Suppose -c - 5*p + s + 131 = 0, 2*p = -2. Suppose -5*z + c = -97. What are the prime factors of z?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in -3\/8, 22, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 212\/12 + 2\/6. Suppose 2*f + f - y = 0. Solve -f*k = -2*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 4, 5 = 5*s - 2*u + 7*u. Let o = s + 16. What is the remainder when 57 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a**3 - 26*a**2 - 15*a + 25. Let x be g(-13). Suppose -x = -10*q + 5493. List the prime factors of q.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i*i**(-6)*i*i)*i\/i**(1\/3)*(i**1)**11*(i**1)**36*i**(-3)*(i\/i**(2\/17)*i)\/i assuming i is positive.\nAnswer: i**(2527\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**3 - 1 + 1 + (4*n**2 - 2*n**2 + 0*n**2)*(-17*n - 11*n - 13*n).\nAnswer: -83*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 + 20. Let p be j(6). Suppose 0 = 4*w - 0*w + 5*y + 45, 2*y + 2 = 0. Let x = w - p. What is the greatest common divisor of x and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -4*k**2. Let w(t) = 1249*t**2. Give o(w(b)).\nAnswer: -6240004*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 229071 - 101.18?\nAnswer: 228969.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 23*y = -26*y - 4, -3*p + 5*y = 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, k: 3}. Give prob of picking 1 f and 3 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -3, 2*m + 2*m + 2*o = 66. Suppose -22*p - 130 = -m*p. Let h be ((-39)\/p)\/((-2)\/(-16)). Calculate the highest common factor of 8 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122330131 (base 4) in base 12?\nAnswer: -53a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3*s = -4*r - 8, 3*s + 6 = 0. Let z = 19538 - 19535. Put z, r, 2, 9 in decreasing order.\nAnswer: 9, z, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -8 - (8 + ((-348)\/18 - -3)). Sort -2\/25, 1\/5, z, -3\/4 in decreasing order.\nAnswer: z, 1\/5, -2\/25, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -46 and 1.9776.\nAnswer: -90.9696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -109.02 to the nearest integer.\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -902 + 980. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101011100 (base 2) in base 7?\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/37360 and 77\/35492.\nAnswer: 709840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 65.891799 seconds?\nAnswer: 0.0007626365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10705, 21414, 32123, 42832?\nAnswer: 53541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 45 and 38343?\nAnswer: 575145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((-1 + sqrt(108) - sqrt(108)) + (sqrt(3) + 4 + sqrt(48) - sqrt(3)))**2 + (6*(2 + sqrt(3)) - sqrt(3)) + 0 + sqrt(108))*3*6.\nAnswer: 630*sqrt(3) + 1170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 234160 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2  (b) -3  (c) 152\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -440 - -440.3. Suppose 155 + 1 = 6*z. Let p be z\/(-68) - 1\/(-2). What is the smallest value in -0.2, u, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.06 and 3.2?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 0*i = 4. Let n(u) = -u**3 + 5*u**2 - 3*u + 1. Let r be n(i). Let y = -3 + 7. Solve -4*d = y*s + 40, -d - r = 2*d - 2*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, -4, 2, -174, 4.\nAnswer: -174, -4, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -9*w**3 - 7*w**2 + 6*w + 6. Let d(z) = 2*z**3 + z**2 - 2*z - 1. Let k(f) = 4*d(f) + t(f). Give k(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**3\/5 + 1025868*r**2\/5 - 14362446*r\/5 + 50268904\/5 = 0. Calculate r.\nAnswer: -512948, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 18\/(-15) + ((-3)\/(-5))\/3. Which is the third smallest value?  (a) 4  (b) 2\/11  (c) v  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.24126+-1162598\nAnswer: -1162597.75874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -310 = -3*p + 2*u, -p - 5*u - 99 = -2*p. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + -11791a1?\nAnswer: -11791a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**2 - 2*s**2 - s**4)*(-1189230 + 1189230 - 9150*s).\nAnswer: 9150*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 274 + -98. Suppose -5*g = -t - 59. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 369 - 1445\/4. Find the common denominator of l and 86\/63*(-378)\/8904.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 7396411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1409061 to the power of 1\/2, to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2620 and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*p**4\/17 + 148*p**3\/17 + 498*p**2\/17 + 104*p\/17 - 760\/17 = 0. What is p?\nAnswer: -10, -19\/5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -6241793 divided by -6\nAnswer: 6241793\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 333 - 923?\nAnswer: -5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 94442 and 95246 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/10 and -26\/6037715.\nAnswer: 12075430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.7 and -0.028?\nAnswer: 1.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -36 or -186\/5?\nAnswer: -186\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33 - 58. Calculate the least common multiple of 0 - 5\/(z\/40) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 57 and 18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 3  (b) -0.079  (c) 2\/3  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 141 or 2\/65?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 2*s + 7 = y, 2*s - 10 = -4*y. Let m(d) = 4*d - 7 + 3 - d**2 + 1 + y*d. What is the units digit of m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 53.2 and 134001.\nAnswer: 7128853.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/10)\/(531\/43955). Sort -0.3, t, 0.3.\nAnswer: t, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 2*x)*(-3*x**3 + 0*x**3 + 5*x**3) + (x + 2*x**4 - x)*(11013 + 4742 + 19510) as f*x**2 + j*x**4 + w + a*x**3 + m*x and give j.\nAnswer: 70534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 + 2)*(5*u + u - 4*u) + 40*u + 255*u + 22*u)*(-2*u**3 + 0*u**3 + 0*u**3).\nAnswer: -642*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 + 6*c**2 + 6*c + 2. Let s = -45440 - -287680638\/6331. Let y = 145599\/44317 - s. What is the common denominator of y and f(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -131930*w**2. Let y(f) = 4*f. What is y(r(p))?\nAnswer: -527720*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8096 divided by -1?\nAnswer: -8096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8772373mm to centimeters.\nAnswer: 0.08772373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyt when three letters picked without replacement from {y: 15, t: 5}?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93*a - 2*a + 95*a - 10*a**3.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*322\/161*10\/4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(44)\/(1*sqrt(4)).\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2560690903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r - 6*r - 7*r + 11*r - 2896036 + 2896036.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 223*n**2 + 4. Let p(h) = 54554*h. Give p(w(d)).\nAnswer: 12165542*d**2 + 218216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6313*v**2 + 19243*v**2 + 6713*v**2)*((-v**2 + v - v)*(3*v - 3*v - 2*v) + 2*v**3 - v**2 + v**2).\nAnswer: 78572*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*c + 50*c - l = 366, 0 = -4*c - 76*l + 74*l + 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1015005 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4678, -4797, -5048, -5473, -6114, -7013?\n\"Answer: -7*m**3 - 24*m**2 + 2*m - 4649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 16*w - 49. Calculate o(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*q**2 + 6*q**2 + 4*q**2)*(5*q - 1 + 1 + (6 - 3 - 4)*(1 - 1 + q) - 2 + 4 - 4 - q) to s*q**3 + y*q**2 + l*q + z and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/734748 and 137\/84.\nAnswer: 734748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (100\/(-44))\/5*(-77)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttzytzztytz. What is prob of picking 2 t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) 47  (c) 0.6  (d) 0.347  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1 + sqrt(13))*3.\nAnswer: 3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1666*x - 315*x + 1638*x - 7856*x - 2765*x to the form f*x + g and give f.\nAnswer: -10964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 PM and 6:33 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 8*k**2 + 10*k - 5. Let a(w) = w**2 + 11*w + 19. Let p be a(-7). Let g be h(p). Which is greater: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 291611 or 290931?\nAnswer: 290931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 76.53974s in milliseconds?\nAnswer: 76539.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-61788)\/21)\/((-156)\/546)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -143502000 to the nearest one million.\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j + 48. Let b be c(0). Suppose 0 = -4*u - 4*k + b, 3*k + 75 = 4*u - 2*k. Calculate the remainder when 10 is divided by ((-6)\/(-5))\/3*u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*z - 8 = 5*c, 4*z + 4*c + 32 = 0. What is the lowest common multiple of 6\/24 - 3\/z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 214 divided by 5.\nAnswer: 214\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 45aadbf + 4?\nAnswer: 45aadc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-9 - (-5 - (-6 - -5))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 1. Let f be (0 - 2)\/2 - -5. Suppose 3*w + 1 - f = 0. Let q(x) be the second derivative of x**3\/3 + 2*x**2 - 2*x. Calculate w*q(r) - 2*s(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -4*y - 2*a + 17, 3*y = -a + 26. What is the derivative of -4*d + y + 4*d - 2 - 4*d**4 wrt d?\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -89.914382 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 170 + -168. Let w(r) be the first derivative of -1 + 5\/3*r**3 + 0*r + 1\/2*r**6 + 0*r**o + 0*r**4 + 0*r**5. What is the third derivative of w(v) wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**3 - 27*u**2 - 736*u - 9484. What is h(-13)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 505373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**3 + 445*g**2 - 1876*g - 18740. What is z(218)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 32637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 times -4835?\nAnswer: -101535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -2*c - 52, 5*x = 4*x - 3*c + 10. Let m(i) = i**2 - 15*i - 3. Calculate the remainder when m(x) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/6)\/(2\/3). Let h(a) = a + 1. Let i be h(f). Find the third derivative of -2*n**3 + i*n**2 + 2 - 2 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -a373 (base 12) to base 13\nAnswer: -8142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 163934400 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*d - 208 = -37. Let g(i) = 1. Let w(j) = j**2 + 3*j. Let f(h) = 4*g(h) - w(h). Let a be f(-3). Sort a, d, 1, -1 in increasing order.\nAnswer: d, -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 127 and 14?\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from mqpppppqqqpmpooqqp?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.6516 rounded to one dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 2) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -175 + 1397\/8. Let z(f) = 7*f - 23. Let q be z(4). What is the second smallest value in l, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 10) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6016 is divided by 1975?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 3*o + 31, 18 + 5 = 5*t - o. Let x = 27 + -32. What is the closest to -0.1 in 0, t, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 3*u**3 - u**2 - 8*u + 24. Let l be q(-11). Let t = -43971\/11 - l. Find the common denominator of -33\/2 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 2 = -4*j, 3*z = 3*j + 15 - 0. Let t be -1 + j\/2 + -2. Let c(m) = -m**2 - 5*m - 3. Calculate c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*l + 151 = 75. Solve l*i = -2*k + 8, -23*k = -5*i - 26*k + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -4*w - 25. Let k be y(-8). Solve i = -5 + k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q + 8*q - 13*q)*(3 - 1 + 1) + (2 - 2 + 2)*(410*q - 7 - 2 + 9).\nAnswer: 817*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 0*x + 4*x - 2*x. Let v(g) = -6*g + 7. Let j(b) = -b + 1. Let y(c) = 21*j(c) - 3*v(c). Calculate l(y(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-6 - (-2 - -20))) + -8 + 51?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 4*v = -92 - 68, -3*l + 145 = 2*v. Calculate the lowest common multiple of l and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 13.67. Let q = 68156.33127 - 68159. Let u = q + f. What is u rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 35*g + 34*g = -8, -j - 4*g = 20. Sort j, -3, 0, -2.\nAnswer: j, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = j - 1. What is the lowest common multiple of 0\/1 - (-10)\/1 and ((-3)\/j)\/((-4)\/16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k**3 + k**2 - 7*k - 7. Let y be s(-4). Let q(c) = 57*c. Let g be q(-2). Let a = y + g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.15 - -0.35. What is the nearest to 2\/3 in 3, j, -2, 25?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 227162*t**2 - 108411 wrt t.\nAnswer: 454324*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w - w + v - 10, 0 = 4*w - 2*v + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k + 12. Let y(s) = 2*s - 13. Let f(h) = -5*u(h) - 4*y(h). Let p be f(-6). Calculate the greatest common divisor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 p when four letters picked without replacement from ptpppttp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 213173153 and 20492?\nAnswer: 5123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (-2)\/(-7)*(-29 - -43)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 12, 4*w + 4*p = -0*w. Let l be (-2)\/3 + ((-717)\/(-9))\/1. Suppose 35*f - l = -9. Solve 0 = s + 5*d + 14, -7*s = -f*s - w*d + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6472525752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccjckdllxccckxcccc. What is prob of picking 2 x and 1 d?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17093865 and 11811.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 110*h + 63. Determine b(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 3 = -6*u. What is the remainder when 4 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -15310 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -608*n**2 + 609*n**2 + 3 + n - 12*n. Suppose -148 = 3*p - 4*p - 3*y, y + 3 = 0. Let o = p - 148. Give f(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwaw when four letters picked without replacement from {w: 5, a: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2816 - -2878. Suppose k - 8*b + 3*b - 45 = 0, 5*b - 20 = 0. Suppose d = -y + k. Solve -v - d*j = -j + 6, 2*j + 2 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 14*l**2 - 31*l - 37*l + 92*l + l**3 = 0?\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8451)\/25353*((-24)\/14)\/(-4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (14860254\/1285)\/(4\/10)?\nAnswer: 3, 23, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22789*j**2*x**2 + 22*j*x**2 + 6*j*x + x wrt j?\nAnswer: 45578*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7342 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the second derivative of -u**4\/12 + u**3\/6 - 5*u**2\/2 - 4*u. Let o be -4 - (-1 + 6\/(-2)). Give h(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12190?\nAnswer: 2, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*l + 7*l + 6. Let z be (1\/(-2))\/((-1)\/12). Suppose l*c = -h + 3, 3*h - h - c - z = 0. Calculate the remainder when 10 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/16 and (113\/42)\/((-5)\/15).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 45*r**2 + 132*r + 12. Give a(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**28\/((m*m\/((m*m**31*m)\/m*m))\/m)*m**(1\/34)\/(m\/(m**(-23)\/m)))**15 assuming m is positive.\nAnswer: m**(17865\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2592 and 8181?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -4*y. Let z(g) = -6*g**2 - g. Give j(z(m)).\nAnswer: 24*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 PM and 3:35 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 + 4)\/1 - 3. Suppose 3*u + 84 = 4*f, -3*f + 2*f - 3*u + 6 = 0. Suppose f*q = -10 - 8. Is r < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*k**4 - 825*k**3 + 420*k**2 + 415*k = 0. Calculate k.\nAnswer: -83, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00011138159 rounded to seven decimal places?\nAnswer: -0.0001114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m - 9. Let g be o(6). Suppose -8*v + 65 = -g*v. Suppose 0 = -2*l + 9 + v. What is the remainder when 32 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4217553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 1196146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -58.5 * 19.\nAnswer: -1111.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(5) + 2 + sqrt(5) - ((sqrt(5) - ((sqrt(5) + 1)**2 + 1)) + sqrt(5)).\nAnswer: 2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -a**4\/3 - 4*a**3\/3 - 2*a**2 - 62*a. Find r, given that q(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**3 + 2*a**2 - 34*a - 300. Give v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 81886 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22059 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31626.\nAnswer: 2, 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 24\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/(-120)*0*-1*1. Let a(t) be the third derivative of 0*t + 13\/60*t**5 + 0*t**3 + 0*t**4 + k + 4*t**2. Let j(i) = i. Give a(j(q)).\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 3)*(f**3 + 3 - 3) + 2*f**3 - 5365*f**2 + 33 + 5365*f**2.\nAnswer: f**3 + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 112313030133 (base 4) to base 9\nAnswer: 12244163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 AM and 7:30 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 154287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 - 42*p**2 - 45*p + 103. Calculate the lowest common multiple of c(43) and 33.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 739319227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**2 + 351844*p + 3166272.\nAnswer: 4*(p + 9)*(p + 87952)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (209494*m - 419027*m - 11 + 209412*m)*(0 - 1 + 0).\nAnswer: 121*m + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 379 + 16?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*h + 2*h - 2*h + 9*h to the form r*h + c and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of -p**3\/4 + 3*p**2\/8 + 73. Factor d(j).\nAnswer: -3*j*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 8*k**2 - 10*k + 5. Let t be j(9). Let o = t + 7. Solve -5*c = 2*h - 3*h + 3, -o*h = -4*c - 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of 1 - 2\/3*i**3 - i**2 + 0*i + 1\/60*i**5 + 0*i**4. Let o(h) be the second derivative of s(h). What is o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83412803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -556*y + 555*y + 2*b - 2 = 0, -8 = 4*y - b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -5*d + l + 47, -5*d - 2*l + 49 = 0. Suppose -2*x + 1 = -d. Suppose x*r = 4*r. Is r greater than -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 6*y + 6. Let n be (-8)\/10*10\/(-4). Suppose 3*c + 4*g + 11 - 1 = 0, -n*c - 14 = -g. What is s(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 16842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 20 + 8 + 30*q**2 - 8 - 17*q - 29*q**2. Let b be c(16). What is the tens digit of 1*(166 - b\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 4488, 8914, 13340, 17766, 22192, 26618?\n\"Answer: 4426*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1\/1792 - -57339\/8960. Does t = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2361, -2419, -2517, -2655, -2833, -3051, -3309?\n\"Answer: -20*o**2 + 2*o - 2343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 - 142*f**2 + 140*f - 425. Calculate d(-143).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 670 - 136. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 + 14. Suppose -338 = -2*z - 2*k, 4*z + r*z - 680 = -2*k. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21100322 - -11?\nAnswer: -21100311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3453, -3448, -3441, -3432, -3421?\nAnswer: -3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*h - 14 = d + 34*h, -3*h = 2*d - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + -3 + sqrt(7) + -1 - sqrt(378)\/sqrt(6).\nAnswer: -4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 4:07 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*1\/(4 - (-8)\/(-4)). Solve -6 = -2*t + 3*l + 2*l, -4*t + r*l = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**4\/5 - 19227*i**3\/5 - 115434*i**2\/5 - 230916*i\/5 - 30792.\nAnswer: 3*(i - 6415)*(i + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 131384400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 25763528 to the power of 1\/2, to the nearest integer?\nAnswer: 5076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 158509831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 21, 33, 45, 57, 69, 81?\n\"Answer: 12*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 + 13*w - 5. Let l be y(-12). Let s = l - -20. Solve 4*t - 8 = -s*d, 7*t + 2*d = 2*t + 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/10 and (-3 - ((-564)\/70 - -1)) + -4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r**3 + 30*r**2 - 1650*r + 24750. Determine v(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-121)\/1815 - 6\/10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1\/12, -5, 0.6, -2\/7, 0.079, 4\/59?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -126 - 11. Let x = w + 144. Calculate the highest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (63 - 124) + (42 - 13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - -1)\/(3\/4). Suppose c - 2*m = 38, 5*c + j*m + 0*m = 134. Let p = c - 24. Solve 25 = -a + p*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-18) + (-426)\/27. Suppose -w + k + 5 = -3*k, 0 = -2*w + k + 24. Calculate the remainder when w is divided by f\/(-3) + 1\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of t**8\/144 + 8*t**7\/315 + 11*t**6\/360 + t**5\/90 - 3*t**2 + 3*t. Let g(l) be the first derivative of f(l). Factor g(c).\nAnswer: c**2*(c + 1)**2*(7*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -256\/7*c + 8192\/7 + 2\/7*c**2.\nAnswer: 2*(c - 64)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 231 + -12032330?\nAnswer: -12032033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -5*z + 32, -5*t + 5*z - 2 = 3. Solve 3*k = m + 7, -m = -3*k + 2*m - t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 6 + 11 = 0. Sort 26, 4, m, 5 in decreasing order.\nAnswer: 26, 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.393666 litres to millilitres.\nAnswer: 393.666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 51252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.2  (b) -4  (c) -1\/9  (d) -3\/2  (e) -1\/194  (f) 27\/5  (g) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50)*-1*-4)\/(sqrt(60)\/(sqrt(6) + sqrt(66)\/sqrt(11)))*-6 + -2.\nAnswer: -48*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17327*x**4 + 698*x + 14 wrt x.\nAnswer: -207924*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**3 + 4*d**3 - 12*d**3 - 14*d**3 - 7*d**3.\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-274)\/(-6) - (68\/12 - 6). Let q be (-11)\/(-22)*(8 - 0) + d. What is the greatest common factor of 125 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27049 is divided by 915.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 66733 divided by -66733\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((3 + sqrt(320)*-1)*3 + 2*(sqrt(320)*-3 + -4 - sqrt(320))))**2.\nAnswer: -1584*sqrt(5) + 348489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(156\/51 - 3). Calculate the greatest common factor of c and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(-3)*(130\/(-15))\/13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 3*w**2 + 4*w - 11. What is the remainder when 46 is divided by k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 9*c**2 + 5*c - 10. Let m be x(-8). Suppose m = l - 0*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 54 + 7. Suppose -4*g + 84 = -a, -5*g - 5*a = -0*g - 105. What is the remainder when d is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 6.8. Suppose 3*u + 12 = 36. Let x be (u\/50)\/((-2)\/(-10)). Which is the nearest to 1?  (a) 1  (b) x  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - 8*q**2 + 9*q - 9. Let h be f(7). Suppose h*i + 7*m - 2*m - 105 = 0, -2*i - 3*m + 39 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 151517.\nAnswer: 151517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*r = -57*r - 22728 + 22406 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h - 7. Let w be j(9). Suppose -v + 24 = 4*l, -w*l = -2*v - 0*l - 2. Solve a - 27 = -3*a + 5*b, v*a + 4*b = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.415 + -5.015. Sort 0, -2\/5, -9, q, -3 in increasing order.\nAnswer: -9, -3, -2\/5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 + 5*i - 7*i + 6*i - 10. What is the tens digit of k(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2 - 5229*d + 2275170.\nAnswer: 3*(d - 905)*(d - 838)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4326053, -4326054, -4326055?\n\"Answer: -i - 4326052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -132*d + 5500. Give f(38).\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 13*a**2 + 16*a - 23. What is the tens digit of c(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of -h**5\/10 - h**4\/12 + h**2 - 6*h + 1. Calculate o(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1710 = 23*u - 153. Calculate the greatest common divisor of 189 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -3*f**3 - 4*f**2 + 2*f + 2. Let t(v) = 10*v**3 + 13*v**2 - 7*v - 7. Let c = -70 - -68. What is c*t(k) - 7*s(k)?\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 16867753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 5*g - 23, -3*g + 6*k - k + 20 = 0. Suppose -3*o + 16 = -g. Let f = o + -3. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a + 3*a + 2*k + 22, 0 = 5*a + k + 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = 2*h + 2, -4*c + 1028 - 1014 = 6*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -b**3\/3 + 1416*b**2 + 83557*b - 3974438\/3 = 0. Calculate b.\nAnswer: -71, 13, 4306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 152*q**2 + 2451*q + 5221. What is x(-134)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -231 divided by -77\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 - n**2. Suppose 0 = -5*g - 2*a + 17, 2*a - 10 + 8 = 0. Suppose g*m = 5 + 4. What is k(m)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121112101 - -10000021?\nAnswer: 201112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -56*o**5 + 12*o**4 + 92*o**3 - 4*o**2 - 36*o - 8 = 0. Calculate o.\nAnswer: -1, -1\/2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 714.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 322 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*x - 7*x + 7*x)*(-223*x + 113*x + 94 + 108*x) - 3*x**2 + x**2 + x**2.\nAnswer: -27*x**2 + 1222*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in 3, -1\/18, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -486633, -486627, -486619, -486609, -486597, -486583, -486567?\n\"Answer: t**2 + 3*t - 486637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 139 = 4*p - 31, -3*p + 102 = g. Let u = 3 - -2. Suppose -2*o = 4*l + 3 - 17, -u*l = 4*o - 16. Calculate the greatest common factor of l and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 4 = -2. Suppose -k*h + h + 8 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -170*u - 1458. Calculate r(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (5 + (-22)\/14)\/3 + 329\/(-245)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - 8*d**2 - 6*d - 2. Let c be u(-7). Let y be -6*(84\/c - -2). What is the remainder when y\/3*(-2 - -5) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 15, -s - 5*g = 1 - 0. Calculate the lowest common multiple of s and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-3) - (3 + (-63)\/27). Sort -0.09, -2, d, -1\/6 in increasing order.\nAnswer: -2, d, -1\/6, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/2)*c*c*c*c**6*c*c*c*(c\/((c\/(c*c*c*c**1))\/c))\/c*c*(c*c*c*c**(-1)\/c)\/c)**(-3) assuming c is positive.\nAnswer: c**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 9023380 to the nearest 10000.\nAnswer: 9020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 4 - 2)*(-3 + 6 - 1)*(0 - v**2 + 0) - 101*v**2 + 134*v**2 + 61*v**2)*(-2 - 1 + 2 + (3 - 2 + 0)*(1 - 3 + 4) - 6 + 30 - 9).\nAnswer: 1568*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 + -5. Let r(y) = 3*y**2 - 3*y. Let c be r(h). Let z = c + -6. Solve z*m = -2*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 350, -18, 56, 11, 4 in descending order.\nAnswer: 350, 56, 11, 4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 54 and 9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1649531 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3)\/((-5)\/1570*3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 46 and 1870.\nAnswer: 43010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 46855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 303293*j*o**2 + 4*j*o + 8030*o**2 + 17 wrt j?\nAnswer: 303293*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -6 - 3. Suppose -31*f + 159 - 35 = 0. Let y be (p - (-9)\/f)*-4. What is the biggest value in 0.02, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*w + 769 = -34*w - 135. Which is smaller: w or -437?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6209 - 99293\/16. Let o = 13279\/16 - 829. What is the common denominator of j and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2487692 rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + 0*q**2 + 5*q**2)*(279*q**2 - 279*q**2 - 56*q**3) + 2*q**5 - 11*q**5 - 13*q**5.\nAnswer: -246*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 17\/46160, -4, 2.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10003701 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y - 9. Let m be x(-8). Let q = -1.2 - -1.6. Let s = q + -0.8. Which is the nearest to -1?  (a) s  (b) 0.4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2103 or -216?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8 - -0.2. Let t = 0.22 + o. Let f = -609461 - -609460.5. Which is the nearest to 0?  (a) t  (b) f  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*g**2 - 7*g**2 + 12*g**2.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 3791 = -5*h - 3783, 2*h - 5*x - 28 = 0. Solve -j = 2*a + 9, h*a - 14 = 5*j - 39 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 176 - 21. Suppose -s*n - 48 = -159*n. Let h = 0.1 + -0.1. Does n = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -3*i + 50. Let z be l(-10). Suppose -57*u + 53*u + z = 0. What is the greatest common factor of 8 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6621 divide 1133477776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 4*v + 28. Let q be x(3). Let b(t) = 11*t**3 - 7*t**2 - 2*t + 17. Is b(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*s**3 - 3*s**3 - 21*s**2 - 1 - 24*s**2 + s**4 + 47*s**2 + 2*s as h + k*s**3 + i*s + a*s**2 + z*s**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -195273 take away -6233537?\nAnswer: 6038264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*w + 437*w + 19*w - 12293 = -10994 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3.125209 centimeters?\nAnswer: 31.25209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f - 5. Let b(w) = -w + 8. Calculate 5*b(h) + 8*z(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/(-12) - -1)*414\/1288. Let m(t) be the second derivative of 1\/2*t**3 + 0*t**2 + 11*t + 0 + 3\/40*t**5 - i*t**4. What is l in m(l) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1125) - (-5*-3*sqrt(1125) + sqrt(1125)))\/(sqrt(90)\/(sqrt(60)\/(sqrt(24)\/sqrt(4)))).\nAnswer: -75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 466 + -466. Let g(y) = -y**2 + 7*y + 17. Let l be g(9). Which is the nearest to -2\/11?  (a) s  (b) l  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -146 = -12*f - 13*f - 21. Solve 26 = -2*i - 4*n + 18, f*i + 4*n + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -40 - -60. Let i(o) = -2*o**2 + p*o**2 + 3*o - 3*o. Does 9 divide i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 746, 1, -4, 7, 5, 3 in ascending order.\nAnswer: -4, 1, 3, 5, 7, 746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2075881 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 6059.2 to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12074*v - n + 78 = -12093*v, 3*n = -4*v - 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 11*r**3 - 6*r**2 - 15*r - 21. What is the tens digit of c(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/2 + (-5)\/((-15)\/1947). Let c = m - 210. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7223604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3627904911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -1\/4, 2, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -7*b**3 + 5*b**2 + b + 41. Let u be g(-8). Suppose 15*t - 2633 = u. List the prime factors of t.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -o + 165. Suppose -o - 19 = -4*q. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 534 is divided by 518?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*63\/(-90) + -1?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28300?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0628409 rounded to 3 decimal places?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -8*(-1 - (0 - -2)). Let z = -33003 + 33135. What is the greatest common divisor of z and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.28 * -0.07809.\nAnswer: -0.0218652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*t**3 + t**3 + 4*t**3 + (-15 + 15*t + 15)*(-1 + 1 - t)*(0 + 0 - t + (0 - 4 + 3)*(t - t - 2*t) - 14 + 14 - 7*t).\nAnswer: 88*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0468 and -87?\nAnswer: -4.0716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 92 and -0.42.\nAnswer: -38.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 128021 or 128023?\nAnswer: 128023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 5*r + 3. Let v be g(6). Suppose 35*q = v*q + 214. What are the prime factors of q?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 160 = -5*a, -40*c + 39*c + a = -22. Which is greater: 15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 470131877?\nAnswer: 19, 24743783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 269284902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 + 4*u - 17. Let m be w(7). Let x = m + -60. Solve x*o**3 - 1\/2*o**2 - 1\/4*o + 0 + 1\/2*o**4 + 1\/4*o**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 - 69*d**2 - 311*d + 7623. Calculate b(-62).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 360000307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*w**17*w))\/(w**9\/w))\/((w\/w**(-16))\/w*w**(2\/37)\/w) assuming w is positive.\nAnswer: w**(-1519\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express x - 2 + 0*x + 4*x**4 + 0*x**4 in the form k*x**2 + u*x**3 + g*x + z*x**4 + o and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 13, l: 5}. Give prob of sequence ll.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 109*b + 106. Let w = -314 + 320. List the prime factors of y(w).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 6:38 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ikffxflfxxxiikxxffxf. Give prob of picking 2 k.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 167\/30284910 and 151\/108?\nAnswer: 181709460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44\/(-6) + (-12)\/18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 246 and 9.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -1b8e0a?\nAnswer: 1b8e0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 35, 0.2, -3 in ascending order.\nAnswer: -3, 0.2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the third derivative of -x**7\/15 - 41*x**6\/120 - 2891*x**3\/6 - 2486*x**2. Differentiate d(c) wrt c.\nAnswer: -56*c**3 - 123*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.973 - 0.027. Let f = 0.15 - -9.85. Let r = 14 - f. Sort r, 0.4, v.\nAnswer: v, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10899620?\nAnswer: 2, 5, 271, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 + 17*g**2 - 19*g - 20. Let a = -52 - -34. Let m be f(a). Let r be (6\/(-4))\/(m\/(-4)). Let v(d) = d + 3. Give v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h**3 + 65*h**2 + 60*h - 21. Is m(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -4*c + 1. Suppose 5*w + 20 = w. Let i(q) = -8*q + 1. Let u(f) = w*a(f) + 3*i(f). What is u(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lzqlqllqzllzzlqlllqq. Give prob of picking 1 l and 2 q.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14459 + -14458.8. What is the closest to a in 6\/11, -0.4, -133?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 0*q, -4*q = -2*x. Let f be 3\/(1 + 2) - -1. Let l = f - x. Solve -15 = l*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 2*j + 2 = 0. Let d = j + 5. Let m = 136 - d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -51*m**5\/5 + 618*m**4\/5 - 504*m**3 + 3552*m**2\/5 - 384*m\/5.\nAnswer: -3*m*(m - 4)**3*(17*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11\/(33\/(-600)) - 3. Let j = x - -297. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j - 6*j + 0*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 168 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*u**5 + 14*u**3 - 16*u**2 + 0*u + 0 - 2*u**4.\nAnswer: -u**2*(u - 2)**2*(u + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 182319 = 6*z + z + 182517, -3*f + 110 = -2*z for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 + 13. Let g = -22.5 + 22. Let z = -0.7 - g. What is the closest to z in -4\/7, -4\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5396 and 1988?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of 9*r**4\/16 - r**3 - 3*r**2\/8 + 3*r\/2 - 5. Factor l(n).\nAnswer: 3*(n - 1)**2*(3*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10258 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 122 - 118. Solve 3 - 11 = -o*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2 and -223878102.\nAnswer: -223878102.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3\/19 - 61\/95. Put 9, 3, m in decreasing order.\nAnswer: 9, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38345.\nAnswer: 5, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 0 - 2*c + 4*c + 2 - 3*c. Let x be ((-10)\/4)\/(2\/(-4)). Let o(h) = -2*h + 5. Calculate x*b(a) - 2*o(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1284169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 10:37 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -54 + 95. Let z = 81\/2 - u. Which is the closest to z?  (a) 1  (b) 4  (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*t**2 - 34616019*t\/5 - 2769282 = 0. What is t?\nAnswer: -2\/5, 2307735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 13\/(-8) + 9\/(-24). Let p be 6\/6 - (f - -1). Solve -6 = -2*u + p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 318\/(-1060)*20\/24. Let p(g) = -g**3 + 3*g**2 + 6*g - 5. Let x be p(4). What is the second biggest value in x, 1\/5, 2\/53, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.68 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/7)*b*b**(-1))\/(((b*b\/b**7)\/b)\/(b**(-2\/3)*b*b)) assuming b is positive.\nAnswer: b**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 - (0 - (1 + -1)). Let z(w) = 0*w**x + w + 0*w**2 - w**2 + 2. Give z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -137*g**6\/60 + 595*g**3\/6 - 243*g**2. What is the first derivative of q(m) wrt m?\nAnswer: -822*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c - 1. Let j be d(-4). Suppose 15 = 5*n - 15. Let f(t) = -t + 0 - n*t + j - 2 + t**2. What is f(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 + 30. Let i = t + -12. What is the closest to 0 in -0.2, 3, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 65*t**3 + 3*t - 66*t**3 - 5*t. Let i(r) = 5*r**3 + 11*r. Determine 6*i(c) + 33*z(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2360 + 17226?\nAnswer: 14a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -504 (base 12) in base 15?\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2. Let x(b) = -39*b - 3. Determine z(x(o)).\nAnswer: 1521*o**2 + 234*o + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8061.\nAnswer: 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*k**5 + 162*k**4 + 9*k**3*y**3 - 65*k**2*y**3 + 7*k**2 - 2*k*y**3 + 2*y**2 wrt k?\nAnswer: -240*k**2 + 3888*k + 54*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 11:50 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*u**2\/5 + 231*u\/5 + 114\/5.\nAnswer: 3*(u + 38)*(2*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 63, -74, -307, -636, -1061, -1582, -2199?\n\"Answer: -48*c**2 + 7*c + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q. Let j(n) = 8*n + 6. Let p(v) = j(v) - 6*k(v). Let d(t) = 7*t + 3. Let y(l) = 13*d(l) - 6*p(l). Differentiate y(c) wrt c.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 195 or 388?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 + 51*w**2 - 400*w + 91. Calculate the remainder when f(11) is divided by 133.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14.48212 - 1.22798. Let z = o + 15.7. What is z rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 171*t**3 - 171*t**3 - 63*t**4 - t - t**4 + t + (0 + 2*t + 0)*(-t**3 - 2*t**3 + 2*t**3) - 2*t**4 + t**4 - 2*t**4.\nAnswer: -69*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 16 = 4*p, 5*p + 21 = -2*b + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gwq when three letters picked without replacement from {k: 4, g: 1, w: 1, i: 1, e: 2, q: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 4*t - 3. Let m(w) = w - 1. Let f(p) = 11*m(p) - 4*y(p). Suppose 0 = 4*o + 4. Let r be f(o). Solve 3*x = x - r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 - 62 = -5*x. Let h(s) = 26*s - 3. Calculate the remainder when h(2) is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13697\/7 - 1943. Let d(q) = -q**3 + 13*q**2 + 13. Let z be d(13). Is o smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-4)\/5*145\/58.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1542.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -16 (base 14) to base 11\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 396 and 1892?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*b + 2*f + 17, f = 4*b + 19. Suppose -41*s + 36*s - 49 = 4*l, -2*l - 4*s - 26 = 0. Let i = b - l. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 231445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5548 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 - a**2. Let p(z) = 525*z**3 - 4*z**2 + 31. Let c(o) = -4*l(o) + p(o). What is the derivative of c(i) wrt i?\nAnswer: 1587*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -116, -5, -48, 2, 5 in ascending order.\nAnswer: -116, -48, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-64779)\/(-8305))\/(33\/(-15) - -2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 4*w - 39016, 4*n + 4*w - 5*w = 51996. What is n rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 40*y. Let r(h) = -5*h. What is -6*n(w) - 50*r(w)?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -9.8889.\nAnswer: -49.4445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.228 + 44.428. Let j = -44.2 + f. What is the closest to -0.18 in 1\/3, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 23846020 to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/60 and 67\/684.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 + -35. Let d = -2 + 7. Solve 0*j = 5*k + j + g, 0 = -d*k - 3*j - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 2.77438 and 55.58.\nAnswer: 58.35438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157084 = 60*d - 397449 - 17087. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 24 + 7*u + 66 - 43 + 3*u + 52 as b + d*u and give b.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 17*j - 15. Let h(l) = 52*l - 45. Let z(v) = 4*h(v) - 11*x(v). Does 26 divide z(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**2\/7 + 109010*g\/7 + 1352676 = 0. Calculate g.\nAnswer: -54418, -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 209*m - 3448. Determine i(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 9 - 3. Suppose 4*f - 2*d = 730, 390 = 5*f - t*f + 4*d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**3 - 7972*t**2\/7 + 2280*t\/7 = 0. What is t?\nAnswer: -285, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-167)\/(-416) - 4\/10. Let j = c + 17659\/14560. What is the common denominator of j and 85\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(1\/5))\/(m\/(m*m**(-5)\/m)))\/(m**(6\/11)\/m*m*m**(7\/6)) assuming m is positive.\nAnswer: m**(-2281\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 9:46 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -123, -220, -321, -426, -535, -648, -765?\n\"Answer: -2*z**2 - 91*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-56) + 54\/(-693)*-11. What is the nearest to 0.569 in 3, k, 5\/3, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 4, 1, -5, 0.03 in decreasing order.\nAnswer: 4, 1, 0.03, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-9)\/d**(4\/7))**(1\/4)\/((d*d\/(d*d**(-3\/2)))**(3\/35))**(-3\/26) assuming d is positive.\nAnswer: d**(-431\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2. Let g(b) = 7*b - 3. Let a be 1\/(20\/(-15) - -1). Let p(z) = 15*z - 5. Let f(x) = a*p(x) + 5*g(x). Calculate f(w(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1809960729?\nAnswer: 3, 19, 4733, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 21*a + 4 - 15*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -21*v + 1. Let q = 7 - 2. Suppose q*s = 5*g - 10, 4*s - 3*g = -0*g - 7. List the prime factors of l(s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 - -30. Suppose -4*w + a = -x, 3*w + 4*x = 40 - 8. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40291235921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 5*g = 2*v + 2, 0 = -4*g - v - 6. Suppose 4*u = m - 9, 6 = -4*u - u - 4*m. What is the units digit of (-41)\/(((-6)\/12)\/(g\/u))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(8 - -2)*(-4 - -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 5  (b) -4  (c) 8  (d) 2  (e) 292\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19*1*(-195)\/(-312) and 0 - -2 - (-73)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11222101101220 (base 3) in base 6?\nAnswer: -132405510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -493448347 divided by -1499843.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 13076 - -19?\nAnswer: 1308f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6983954*q**3 + q**2 + 352*q - 73 wrt q.\nAnswer: -41903724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*i**2 + i**2 - i**2)*(2 + 2 - 3)*(-2 + 5 + 0) + (-5 + 4 + 2)*(-5*i**2 + 6*i**2 + 4*i**2) + i**2 + 3 - 3 to the form u*i**2 + j*i + p and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11054 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by -316.\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 7311 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4489302865?\nAnswer: 5, 433, 937, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 267334.8 milliseconds in minutes?\nAnswer: 4.45558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6093, -24518, -55289, -98400, -153845, -221618?\nAnswer: -301713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 50, 0, 43?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - f = -9, -5*t + t + 15 = f. Suppose 2*g = -2*p + 7*g + 38, -t*p + 31 = -g. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(25\/2)\/i)\/(i**(9\/4)\/i))\/((i**(-31)\/i)\/((i**(-8)*i*i)\/i*i)) assuming i is positive.\nAnswer: i**(145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3*z - 2687 = -3*t, -5*t + 6705 = -5*z. Round t to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - ((5 - 5) + -6 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1575) - (sqrt(1575) + 5*(1 + sqrt(1575)))**2 - sqrt(1575))*3.\nAnswer: -170175 - 2700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*a + 162 = 20*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -19 - (2 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -225*u**3\/11 + 1545*u**2\/11 - 296*u + 176.\nAnswer: -(u - 1)*(15*u - 44)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and 0.85504.\nAnswer: 1.85504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of x**7\/140 - x**6\/36 + x**5\/30 + x**3 + 3. Let b(r) be the third derivative of f(r). Factor b(i).\nAnswer: 2*i*(i - 1)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 24 = 11. Suppose c*f - 80 = 3*f. Calculate the greatest common divisor of 100 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -4*t + 17. What is the remainder when 200 is divided by f(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-1890)*-7)\/(3\/(-45))*55.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 48663058751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 6:45 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 118, 118, 122, 136, 166, 218?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 - 10 + 10 + 9*x)*(0 - 1 + 0).\nAnswer: 2*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-4692)\/805)\/17*(-7)\/2\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -80*u**5 - 200*u**4 + 235*u**3 + 790*u**2 + 340*u + 40 = 0?\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 2, -58 in increasing order.\nAnswer: -58, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.82 times -0.09?\nAnswer: -0.0738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 32 = -w + 3*w, -26 = -5*z - w. Suppose -2*c = -0*c - z. Suppose c*d - 7 = 8. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*z - 10 + 14*z**2 + 4*z**2 - z - 17*z**2 in the form w + l*z**2 + s*z and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 21530819.823 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ilii when four letters picked without replacement from llllllioillllli?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 - -13 - (3 + -1 + -6 + 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -92485*o**3 + 92484*o**3 - 7*o + 0*o**2 - 7 - 4*o**2. Suppose -z + 2*p - 4 = 0, 0 = -0*z + 2*z + 4*p + 16. Is a(z) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/4*(-80)\/6. Let z = 8 - u. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(-5)*d*d)**(-1\/5)\/((d*d**(2\/9)\/d)\/(d\/(d\/d**(-15))*d)) assuming d is positive.\nAnswer: d**(-721\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4695587*f**2*i**2*r**2 + 4*f**2 + 3349386*f*i**2*r + 13*f*r**2 wrt f.\nAnswer: 9391174*i**2*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from {l: 11, q: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 151 divided by -2199\nAnswer: -151\/2199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of 3*f**5\/80 - f**4\/8 - f**3\/8 + 3*f**2\/4 - 82*f + 11. Let s(a) be the first derivative of z(a). Factor s(w).\nAnswer: 3*(w - 2)*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -218*g - 272 + 2452 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3)\/p*p**(2\/9)\/p*p**(1\/11)\/(p\/(p*p*p*p\/p**3*p)))\/((p*p**(1\/3))**(-2\/15)\/((p**(-1\/3)\/p)\/p**4)) assuming p is positive.\nAnswer: p**(-1459\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((1 + sqrt(605) + 4)*-6)**2 - -6*-4*(-2 + (sqrt(605) + 2 - sqrt(605)))**2.\nAnswer: 3960*sqrt(5) + 22676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 398939137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -249 + 353. Let k = 109 - n. Suppose -2*v + 91 = 4*i + v, -3*v - 107 = -k*i. Calculate the greatest common factor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-13*w + 31*w + 17*w)*(13*w + 2*w + 0*w + (3 + 1 - 5)*(-44 - 14*w + 44)) as g*w + i*w**2 + n and give i.\nAnswer: 1015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 464, 1874, 4220, 7502, 11720, 16874?\n\"Answer: 468*s**2 + 6*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (228\/10)\/((-48)\/(-160)) is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-5))\/((-24)\/20*-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*k - 87 = 174*k - 7815 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 4 - -5) + 24 + -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1932\/13 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 5*s = -12, -n = 2*n - 5*s + 8. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*d + 39. Let o be (16\/6)\/((-6)\/d). Which is the smallest value?  (a) o  (b) 0.3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f = f + 6*f. Suppose -8 = -5*t + 12, f = 5*y + 2*t - 228. Which is greater: y or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - 0 - (-8 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 3413, -40 in ascending order.\nAnswer: -40, -7, 3413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-45)\/(-30))\/((-6)\/(-20)). Let d = -13 - -13. Solve 2*i = -0*i - 5*l + 2, -4*i + j*l - 26 = d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57990 and 6720?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101654253 (base 7) to base 2.\nAnswer: 10110111000000100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 279497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5662 and 3418.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**3 + p**2 - p**2)*(4*p + 3*p - 5*p) + (-7*p**3 - 9 + 9)*(-4*p - 2*p + 5*p) + 285 - 286 - p**4 - 24*p**2 - 2*p**4.\nAnswer: 2*p**4 - 24*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + z = -1942, -2*z - z = 6. Calculate the remainder when 980 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 5*f + 3*f + 10 = 0, 5*z = 4*f + 19. Put -2, 5, 2, z in decreasing order.\nAnswer: 5, z, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8408304 to the nearest integer?\nAnswer: 2900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1485 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = b + 1. What is the tens digit of -2 + 15 - (b + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1972 divided by -493\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, -4, 168, -131.\nAnswer: -131, -4, -1, 1, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(17) + sqrt(153) + sqrt(153) + (sqrt(153) + 1 + sqrt(153) - sqrt(153))) - 1*-5*sqrt(17)*2)**2.\nAnswer: 840*sqrt(17) + 83336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1062043, -4248158, -9558349, -16992616?\n\"Answer: -1062038*s**2 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/556 and 151\/17244.\nAnswer: 2396916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 48\/5 and 28\/87435375.\nAnswer: 87435375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5\/(-15))\/(0 - -1). What is the third smallest value in 2, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 - -2) + 7065077\/(-15). Let l = x + 471372. Let i = l + -366. Put -3, i, 0.5 in ascending order.\nAnswer: -3, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, 2\/11, 18152, 0.1, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 730.7831 centimeters to meters.\nAnswer: 7.307831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1, -12, -31, -56, -87, -124?\n\"Answer: -3*u**2 - 4*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -2620\/3*o + 1716100\/3 + 1\/3*o**2 = 0. What is o?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 7*m + 9*m - 21*m. What is j(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 51 = -145. Suppose -4*l - 2*v = -38, 0*l - 2*l - 4*v + 22 = 0. Suppose l*w - 208 = -4*w. Calculate the remainder when i is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 - j - 1. Let a(k) = 3*k**2 + 8*k + 4. Let f(n) = a(n) + 4*s(n). Suppose -3*d + 3 = -6. Give f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (22*48\/352)\/((-2)\/(34\/(-3)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s. Let u(q) = -5*q - 1. Determine y(u(f)).\nAnswer: -5*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 12*l**4 - 6588195*l**3 + 903776221956*l**2 + 131865615539145*l - 33022889795718 = 0?\nAnswer: -146, 1\/4, 274581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 134*w + 8833. Determine n(-66).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - -4. Let s(m) = 2*m**3 + m + 2. Suppose -15*v = 4*v. Let b be s(v). Is t != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1141352 (base 9) in base 10?\nAnswer: -617753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2c8495 - 1a?\nAnswer: -2c84b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 4*k = 8. Let s be (k + 46596)\/2 - -1. What is s rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 58 + 93. What are the prime factors of k?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -1 - (6 - (33 - 32)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -4*x**3 - x**2 + 2*x - 1. Let k be t(-2). Let o = k + -23. Which is the nearest to 0.1?  (a) 2\/13  (b) o  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -732?  (a) -2\/7  (b) 2\/11  (c) -1\/3  (d) -2\/841  (e) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 + 10*v - 16. Let q be d(7). Factor 14*a**2 - 8*a - 3*a**3 - 29*a**2 - 9 - q*a - 8*a.\nAnswer: -3*(a + 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q + 3*q - q)*(5*q - 6*q + 0*q) + (2 - 2 + q)*(369*q - 547*q + 105*q - 61).\nAnswer: -75*q**2 - 61*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 191 - 497 = -6*w. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 1\/5, -494, 5, -5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*y + 10*y - 11*y)*(-3 + 3 + 1)*(-y**2 - 3 + 3) in the form s*y**2 + z + g*y + t*y**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -45 - -33. Let u be (-483)\/q - (-3 + 2)\/(-4). Suppose -5*f = n - 25, -5*n = -5*f - 0*n + 25. What is the greatest common divisor of u and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11\/214 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three fifths of a day in minutes?\nAnswer: 21024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 14*n**2 - 34792*n + 3663527 with respect to n.\nAnswer: 28*n - 34792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of 3\/100*r**5 + 1\/20*r**4 - 6\/5*r**2 + 2*r + 12 - 2\/5*r**3. Factor q(i).\nAnswer: 3*(i - 2)*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -87\/26 and 1\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44 and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 231, -396, -5, -2, 2, -0.3, 11\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 193842182?\nAnswer: -1\/193842182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.5+28002.58\nAnswer: 28003.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5107 at most 5025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**2 - 11*j + j - 28*j to the form t*j + d*j**2 + r and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of 7*w**4\/24 + 5*w**3\/6 - 3*w**2 + 5*w. Let j(f) be the second derivative of -f**3 - 2*f**2 - f. Calculate -6*j(o) - 5*n(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -310 and -1176888040560?\nAnswer: 1176888040250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7758 by -1293.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 163324, 650051, 1461264, 2596963, 4057148?\n\"Answer: 162243*i**2 - 2*i + 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 2 = 3*n - r, 5*r - 23 = -n. Solve 5 - n = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 0.02, 2\/3, 1.9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 + 18 - 17) + -1 + (-2 - (-7 + -41)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 5*o = -23, 2*o + 2*o - 18 = 2*c. Let t = -5 - c. Let k = t + -9. Sort k, 0, -4 in increasing order.\nAnswer: -4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(400) + sqrt(400)*1 + sqrt(400) + sqrt(16))\/((sqrt(16)*-3)\/sqrt(2)).\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -81 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 + -11. Differentiate -2 + 5 - k - 2*m with respect to m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-176)\/(-6))\/(8\/156). Let b be (1\/(-2))\/((-11)\/d). Let i = b - -19. What is the greatest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w. Let d(n) = 7*n**2 - 5*n + 8. What is d(b) + 5*f(b)?\nAnswer: 7*b**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -70 - 79. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 3*x**3 + 2*x**2 - x - 1. Let a(v) = -19*v**3 + 2*v - 840. Let m(n) = -a(n) - 2*h(n). Differentiate m(p) with respect to p.\nAnswer: 39*p**2 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 + 2. Let i(w) = -w**5 - 3*w**4 - w**3 + 2*w**2 + 2*w + 2. Let y(g) = 2*i(g) - 2*l(g). Let y(d) = 0. Calculate d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -262427, -524738, -787049, -1049360, -1311671, -1573982?\nAnswer: -1836293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30 - -31. Let s = x - -6. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 1:02 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 59*p + 1996. What is the units digit of x(53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.8 - 17.2. Let k = -21.011 - q. Round k to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 28*v + 169. Determine y(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 78 - 66. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -323 + 645. Suppose 5*o = 1357 - c. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.04 and -0.01 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + -3*(-2*sqrt(68) - sqrt(68)) + sqrt(68))\/(sqrt(40)\/sqrt(160)).\nAnswer: 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 7*h**3 + 8*h**2 - 8*h**2 + 3*h - h**3 to c*h**3 + t*h**2 + r + a*h and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 5*f + 10, -5*f = 2*u - f - 6. Solve u*d + 5 = -k, 6*k + 5*d = 2*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17433671 (base 8) to base 11.\nAnswer: -2335536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 61 = -3*u - 8*k, -4*u + 3*k = -73. Calculate the highest common divisor of u and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -553697\/18 + 30753. What is the common denominator of w and ((-128)\/(-320))\/(((-84)\/(-145))\/1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 + -1 - 1) + -3 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -154 - -260. Let g = 224 - f. Let y = g - 127.5. Round y to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5709 and 350844?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16367208 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*w - 22*w + w**2 - 23*w**3 - w**2 + 2*w**2 + 13*w + 2 as i*w**2 + x*w + m + y*w**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.25 in -2, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -11 and -34\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 328272071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 + 23. Let t = d - 1. Calculate the greatest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*(-6)\/(-9)*3*(-45)\/(-54).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 4*r - 14. Suppose -4*v - r = v. Let c be 0\/(v\/(-8)*6). Solve c*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of -11*k**3\/3 - 2. Let w(s) be the third derivative of s**5\/30 + 5*s**2. Give m(w(t)).\nAnswer: -44*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 73, 94, 117, 142, 169, 198, 229?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {x: 6, v: 3, b: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f + 14. Let x be n(11). Let o(q) = q + 4 - 8 + x. Determine o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 35, 2, -5, 259 in descending order.\nAnswer: 259, 35, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*x - 2 - 1 + 11 - 18*x.\nAnswer: -26*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -4*h**3 - 4*h**2 - h + 2. Let w be v(-2). Suppose 4*y + 1984230 = -c + 104235, -w = -4*c. Round y to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 70693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -36*t - 3. Let j be k(-6). Let q(y) = 415*y**2 - 4544*y - 18. Let x be q(11). Is x at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + -2605633?\nAnswer: -2605631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 773770636 to the power of 1\/2, to the nearest integer?\nAnswer: 27817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -89252780628.6 - -0.2\nAnswer: -89252780628.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhwjzhhjjhzhhhzjhw. Give prob of picking 1 j, 1 h, and 2 z.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g - 6. Let c be ((-5)\/(-4))\/((-8)\/(-32)). Let h(s) = 2*s + 6*s + c - 7*s. Determine 6*h(o) + 5*w(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = m - 15, 0 = a + 3*m - 18. Suppose a*w + w - 40 = 0. Let b(p) = -p**2 - 13*p + 6. What is the remainder when b(-11) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -578 + 1206. Suppose -4*y = -8*y + d. Suppose -3*u - 99 = 3*f, -f + y = -6*f - u. Which is greater: f or -32?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 3*y - 16. Let p be (-2)\/(-4) - (-26)\/(-12). Is y not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 71 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*l**5 + 8084*l + 2*l**3 - 8084*l + (-4*l**4 + 2*l**4 + l**4)*(2 - 2 - 2*l).\nAnswer: -12*l**5 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 33. Let n(x) = 29*x + 51. Let q(j) = -13*j - 27. Let h(m) = 2*n(m) + 5*q(m). Is 9 a factor of h(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 4 + (sqrt(1500) + 2*sqrt(1500) - sqrt(1500))\/sqrt(5) - ((sqrt(108) + 2 - sqrt(24)\/sqrt(392)) + 1))**2.\nAnswer: 29403\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 5:36 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q - 1. Let h(j) = -30*j + 35. Let d be h(1). Determine r(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 6.12. Let o = 0.08 + w. Which is the third smallest value?  (a) o  (b) -3\/5  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 3*t = 5*w - 16, 5*w - 2 = 2*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8)\/(2*sqrt(36)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 262, 355, 604, 1087, 1882, 3067, 4720, 6919?\n\"Answer: 13*m**3 + 2*m + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2121110222112 (base 3) to base 12.\nAnswer: -56a9a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 3*j**2 + j. Let b be k(1). Suppose -d - 5*q = -2*d + 60, 2*d - 134 = -b*q. Let t = 68 - d. Solve u = 0, 0 = -t*x - 0*u + u + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(32\/80*(-10)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 4*x - 7, -2*u + 5*x - 6 + 2 = 0. Suppose -6 = -5*f + u*f. Let j = 75 + -68. Solve 8 = f*r - j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5447280.\nAnswer: 2, 3, 5, 22697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 - 5*m**2 - 4*m + 4. Let y be o(-4). Let h(u) = -u + 14. Let r be h(-7). Let d = 27 - r. Solve -4*c - 20 = 4*x, -d*c - x - 7 = -y*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 739.9 + -688. Let f = -52 + q. Which is the nearest to f?  (a) -0.4  (b) 0.3  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of -5*i**6\/144 - 7*i**5\/120 - 7*i**4\/24 - 10*i**2. Let v(h) be the second derivative of y(h). List the prime factors of v(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 9:06 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**1\/n**(-3\/5))**38\/((n**2)**(-5))**44 assuming n is positive.\nAnswer: n**(2504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v - 7. Let l be q(-5). Suppose 0 = -5*r - 20, l*x = -x - r + 16. Solve 2*m + x*a - 11 = 0, 3*a - 6 = -2*m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31 + (-21 - -29) - 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16 - -3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -2*c - 8 + 18, 4*c - 4 = 2*w. Suppose 5*v = 20, x + 4*x = w*v + 132. What is the remainder when x is divided by 40\/14*(-7)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 179.1 + -0.5.\nAnswer: 178.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16745 at most 16754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -68452566 divided by 42\nAnswer: -1629823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2238, 2256, 2274, 2292, 2310?\nAnswer: 2328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 806354?\nAnswer: 2, 193, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 - 2 + (0 + 2 + 0)*(0 - 3 + 1) + 0 + 2 + 0 + 3 - 2 + 0)*(t - 2*t + 0*t) + 186*t - 8141 + 8141 to x*t + c and give x.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*(s*s*s*s\/(s\/(s**8\/s)))\/s*s*s*s*s)*s\/s**8)\/((s*s\/((s*s**(-6))\/s))\/((s*(s\/(s\/s**(-3)))\/s*s)\/s)) assuming s is positive.\nAnswer: s**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -598 take away -2.1?\nAnswer: -595.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -9912 divided by -1?\nAnswer: 9912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11153208 divided by 1992?\nAnswer: -5599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -29745.11599 rounded to the nearest integer?\nAnswer: -29745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4\/(-10))\/((-59)\/(-295)))\/((-30)\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 89598879 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: Simplify (t**(-8)*t*t\/t**10)\/(t**11*t**12) assuming t is positive.\nAnswer: t**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83891?\nAnswer: 83891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*p**2 + 3*p**2 + 0*p**2 + (4*p - 5*p - p)*(0*p - p + 0 - 1).\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3803 + 2427. Is -1376 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 + 141 = 19*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000299425 to seven decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14106 - -14136. Let o(g) = -g**2 - 3*g - 1. Let d be o(-4). Put -1, d, 4, a in decreasing order.\nAnswer: a, 4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= 3\/1811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 1 + 4)*(-d + d + d**2) + 4*d**2 + 6*d**2 + 0*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + w - 4*w = -12, 3*q - 2*w + 8 = 0. Let i = -1640 + 1660. Solve 0 = -q*b - 4*b + z + i, -b + 12 = -2*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 6*q - 24 - 11*q + 6*q. Let w(o) = 3*o**2 + 6*o + 4. Let l be w(1). Give a(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 61*w**3 + 9. Let z(u) = 19*u**3 - 4*u**2 - 8*u - 2. Let d(x) = -x**3 + x**2 + 2*x + 1. Let m(n) = -4*d(n) - z(n). Determine 9*m(b) + 2*p(b).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f**2 + f**2 + 4*f**2 + (1 - 1 + 1)*(36*f**2 + 6*f**2 - 9*f**2) + (0 - 2 + 4)*(f**2 + 4*f**2 - 4*f**2).\nAnswer: 37*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w + 57, -65*p - 3*w + 5377 = 5434 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 3*o - 6. Let a(x) = -x**3 + 4*x**2 - 2*x - 3. Let i be a(o). Solve 4*w - 3*w - 1 = 0, i = 3*k - 4*w - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*1*(-5)\/35. Suppose 0*k + 3*k = 0. Which is the nearest to -0.1?  (a) -4  (b) k  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 332 = 37*s + 295 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 5*k - 538, -4*r = -2*k - 3*k - 1106. What are the prime factors of r?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*y - 5*y**3 - 18*y)*(-1 + 0 - 1) - y**3 + 2*y**3 - 2*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.08442 + -0.084. What is c rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -13*m**3 + 7*m**2 - 5*m + 19. Let a = 1 + -7. Let o(r) = 7*r**3 - 3*r**2 + 2*r - 10. Let k(w) = a*y(w) - 11*o(w). Determine k(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 284592 is divided by 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2135843*m**4 + m**2 + 9938*m - 281 wrt m.\nAnswer: -25630116*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 2 = -1. Let i = 3\/8 + 1\/8. Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2  (b) 1823\/3  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q**2 + 10*q + 6. Let h be u(10). Let p = 2557 + -2151. Does h = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**2 + c - 5. Let n(d) = d. Calculate n(y) - q(y).\nAnswer: -2*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0*(1 + (2 - 4)). Let c(t) = t + 2. Calculate the least common multiple of c(u) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 265638 is divided by 1803.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = n - 13, 7*n - 2*n = -10. Solve -b*k - 3*j - 20 = -0*k, -5*k - 30 = 5*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 3*d = -75 + 62, 0 = 5*j + 4*d + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002055 to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 129.8 + -133.8. Which is the nearest to 0?  (a) -0.2  (b) 3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 5*x + 1. Let i be g(-1). Let l be 76\/28 + i\/(-14). Let r(m) = m + 22. Let p be r(-20). Sort p, l, -5 in decreasing order.\nAnswer: l, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -6*o + 5*o + 2*o. Let m = -801 + 1466. Let q(r) = -r - 665 + m. Determine h(q(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of 0*z - 3\/4*z**4 + 4\/3*z**3 - 1\/2*z**2 + 3. What is l in u(l) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.15 - -0.01?\nAnswer: -9.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2344328897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 3. Suppose -5*m = 4*z - 120 - 0, v = 5*z - 25. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zyr when three letters picked without replacement from {h: 4, y: 2, c: 2, r: 1, z: 2, k: 4}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*x - 47 = -7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n**2\/3 - 87040*n\/3 - 29015 = 0 for n.\nAnswer: -1, 17409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13547765 and 3199.\nAnswer: 13547765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 3 + sqrt(153).\nAnswer: -1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 244013129.\nAnswer: 67, 3641987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c + 1. Let m = -5 - -6. What is the units digit of b(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 124 or 123?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3165402 is divided by 375?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -159*h**3 + 223 - 103*h**3 + 53*h**3 - 366*h**3 with respect to h.\nAnswer: -1725*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-5)\/9)\/(12\/(-90)) and 41\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 105 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -0*b - b - 5*u, 3*b = 2*u + 22. Let t be b\/(-2*(0 - 1)). What is the nearest to t in 0, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of 0*n - 2\/105*n**7 + 0*n**6 + 0*n**5 + 0 - 4*n**2 + 1\/12*n**4 + 0*n**3. Find the second derivative of b(h) wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15214?\nAnswer: 2, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n - 6 - 2*n**2 - 4*n**2 - 12*n. Let l(o) be the first derivative of 4*o**3\/3 + 7*o**2\/2 + 4*o - 4. Calculate 5*d(h) + 8*l(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, a: 11, r: 2, x: 3, u: 1}. What is prob of picking 2 u, 1 a, and 1 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*l**3 + 4*l**3 - l**4 + (-5*l**4 + 1 + 304*l**2 - 304*l**2)*(-1 - 1 + 1) + 245*l - 245*l - 15*l**4.\nAnswer: -11*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1097 + -1549. What is the second smallest value in -0.1, -2\/15, f?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-717020)\/(-220) + ((-4)\/22)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -2  (b) -0.4  (c) -2029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*q - 2969 = -71*q - 70*q - 6731. Let o = -393 + 581. Suppose 0 = 5*n + o - 23. Is n not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1817*v + 568*v + 16868 = 23001 + 27257 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2 + s. Let d(z) be the third derivative of -z**5\/20 - z**4\/24 - 86*z**2. Calculate -b(h) + d(h).\nAnswer: -2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-224)\/(-10) - 6\/15. Let c = 26 - p. Let m be c - (0\/3)\/(-4). Sort 5, 9, 3, m in decreasing order.\nAnswer: 9, 5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 66, 95, 124, 153?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -246156?\nAnswer: -984624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -363 smaller than -344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (5 + (-23 - -9) - -1) + 17\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -486*z**3 + 0*z - 2*z**4 + 0*z**4 - z + 507*z**3 to the form f*z**4 + u + b*z**3 + g*z + h*z**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 22*p + 175 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 8:20 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 0*n - 530. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 - 14.6. Let l = -212\/3 - -71. Sort 18, -2, l, h.\nAnswer: -2, l, h, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of -h**8\/5880 - h**7\/980 - h**6\/420 - h**5\/420 + 13*h**3\/3 + 13. Let g(w) be the third derivative of i(w). Factor g(c).\nAnswer: -2*c*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-165)\/(-143) - 1 - (-14623)\/13. Suppose -t - 265 = -p. What are the prime factors of t?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o + 495*o**2 - 502*o**2 + 3*o)*(2 - 3*o**2 - 2) to k + v*o**3 + q*o**2 + x*o + z*o**4 and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 59 + -24. Let z be 21\/i - 14\/(-10). Solve -z*r + 2 = -0*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -43  (c) -2\/11  (d) -5.02  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 13*s + 39. Let t be h(-3). Suppose t = 8*q - 559 + 39. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3312 divided by 6.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 512355 is divided by 73114?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 10 = -2. Suppose -4*x - 95 = s, p*x + 4 = -4*s - 40. Let d = -20 - x. Solve -d*h - 2*y = -14, 4*h = 5*y - 3*y + 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of -b**3 - 9*b**2\/2 + 30*b - 313. Let g(p) = 0. Calculate p.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 5901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3772.\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 - 22. Let r(j) = -j**3 + 10*j**2 + 10*j - 14. What is the units digit of r(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 115 + -717?\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/(-12))\/((-3)\/132). Find the common denominator of -40\/21 and w\/36 + -5 + 3 + 0.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 8:09 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 12. Suppose 3*f = t*f + 17. Let a(x) = 8*x + 596. Let p be a(-66). What is the highest common divisor of f and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a2093 (base 11) to base 14.\nAnswer: 3c514","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 9\/236?\nAnswer: 9\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 238844*l + 2388319. Give i(-10).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 77775517 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/4)\/(10\/(-40))*17\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -a0884?\nAnswer: -a0887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 279*a = -146*a - 2975 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 629*m**6 - 31*m**5 - 2*m**4 - 179042*m**2 wrt m?\nAnswer: 75480*m**3 - 1860*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 620\/17 + -12221\/357. Find the common denominator of -67\/15360 and m.\nAnswer: 107520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1217931829*l**6 + 19089*l**2 - 5544*l.\nAnswer: 146151819480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 373454.96492 - 2.8921\nAnswer: 373452.07282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3551 - 2823. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p**(-5)\/p*p)*p*(p\/(p\/p**(1\/4))*p*p)\/p*p**(-3)*p*p**(4\/7))**(-3) assuming p is positive.\nAnswer: p**(-489\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 486067\/2 at most 243033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, -8, 1, 8, -4 in descending order.\nAnswer: 15, 8, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*m**4 - 376*m**3 - 732*m**2 + 376*m + 736 = 0. What is m?\nAnswer: -92, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -189515, -378915, -568313, -757709, -947103, -1136495?\n\"Answer: n**2 - 189403*n - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + q = 123, -2*g + 14 + 38 = -q. Let a(n) = -20 - 4*n - 8 + 3*n**2 + g - n. Let z be a(-3). What is the greatest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2352 divided by 2352?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -67*h**2 + h + 66. Let v(g) = -29*g**2 + g + 31. Calculate -3*c(n) + 7*v(n).\nAnswer: -2*n**2 + 4*n + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 145101266.\nAnswer: 2, 31, 113, 139, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/14 in 24, -3, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 56 and 226383970644.\nAnswer: 226383970700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34253121.\nAnswer: 3, 7, 1631101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 303021 - 23?\nAnswer: 302332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2807522166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*m - 488 + 967 - 479 + 29*m - 463*m**2.\nAnswer: -463*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-8 + 2 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o**3 - 4*o**3 + 2*o**3)*(4*o - 6*o + 6*o).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1325585 a multiple of 914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -620 - -1295. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {y: 4, t: 3, g: 3, d: 1, v: 2, l: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of -31*r**4\/8 - 2*r**2 - 53. Let a(w) = w. Give a(c(f)).\nAnswer: -93*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 38*j**2 + 5*j + 19. What is the remainder when 340 is divided by b(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2 = 4. Suppose -2*g = -2*f + 3*g + 19, -11 = s*f + g. Let o be 4 + f + 3\/12. Which is the third smallest value?  (a) o  (b) 0  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17, 7, 43, 97, 175, 283, 427, 613?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -u - 4*u. Suppose u*i + 6 = -3*r, -4*r = r. Let x be (1\/(-6))\/(i\/6). Is x greater than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**2 + 2*f - 2*f)*(-27*f + 25*f**2 + 27*f) + (-5 + 3 - 1)*(2*f - 2*f + 2*f)*(-f**2 + 8*f**2 - f**3 - 8*f**2).\nAnswer: -44*f**4 + 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + 424184?\nAnswer: 424186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -45.14853 + 55.1485275. Let w = y - 10. What is w rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 - -21. Let l be 1\/(-2) + 77\/22. Solve l*q + k - s = -0, -2*q - 2*k - 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2470 * -362.\nAnswer: 894140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11030322 + 1?\nAnswer: -11030321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -169*z**4\/4 + 5941*z**3\/4 - 59515*z**2\/4 + 154875*z\/4 + 55125 = 0.\nAnswer: -1, 105\/13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - 26 = -58 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -21*m + 10. Let o be t(-15). Suppose o + 143 = 2*d. Suppose -5*p - 19 = -d. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -i**3*n*u + 42*i**3*u**2 + i**3 + 4*i*n - n*u**2 - 5*n wrt i.\nAnswer: -6*i*n*u + 252*i*u**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6968\/8325 + -21\/25. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g**3 - 24*g**2 + g - 6. Let q be i(8). Suppose -4*d = 8*k - 4*k - 476, -3*d + q*k + 337 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/55 + 126\/(-231)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 454931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1018 + 1020. Let q(k) = -9*k. Let s be q(-1). Solve -c*m = m + s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/(-3) - 25\/(-1 + -4). Calculate the smallest common multiple of 6\/s - (-10 - (1 - 2)) and 286.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -34*y**2 + 1. Let j(b) = 2*b**2. Calculate j(s(n)).\nAnswer: 2312*n**4 - 136*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 + -50 + 30 + -7 + (9 - -4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a decade in years?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 33 - (-37 + -24 + 47). What is the highest common factor of 13912 and s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1981 + 7923\/4. Let r = -683\/1155 - 2\/231. Let w be -2 - (-2)\/((-16)\/(-18)). What is the nearest to w in 1\/3, h, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -668.1 - -351.5. Let h = q - -317. Suppose -2*y + 5 = -7*y. Sort y, 2\/11, h.\nAnswer: y, 2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 + 18*o + 2. Give p(-6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - -410?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 6031*c - 2991 + 6046*c - 12078*c in the form h + y*c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 5 + 2)*(-6 + 1 + 7)*(0 - 4 - 1)*(-2*f**3 - 2*f**3 + 5*f**3).\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 2 = 1. Let b be (2\/n)\/(2\/12). Let q(z) = z**3 + 4*z**2 + 3. Let h be q(b). Calculate the greatest common divisor of 2 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.1 - 0. Let n = -97\/34 - -1329\/442. What is the closest to -1 in -1\/6, f, n?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 336 is divided by 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**2 + 33817440*q - 57180962407680.\nAnswer: -5*(q - 3381744)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4161045369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**2 - 3*x**2 - 2*x - 5 - 2*x**3 + 2 + 4*x**2. Let h(a) = a**3 - 2*a**2 + 2*a + 2. What is -3*h(b) - 2*t(b)?\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 3*q - 20, g - 3*g + 10 = 4*q. Suppose d + 280 = g*d. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.00122 - 6573.\nAnswer: -6573.00122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2710\/1897)\/(4\/98).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 12 + 42. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14700533.\nAnswer: 14700533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3130221, 12520899, 28172031, 50083617, 78255657?\n\"Answer: 3130227*w**2 - 3*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 145 + (-48 - 51) + -120.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2001032 + 101112?\nAnswer: 2102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150*v + 743908 = 194*v. What are the prime factors of v?\nAnswer: 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 4*a**2. Let i(f) be the third derivative of -f**7\/2520 - f**4\/12 - 4*f**2. Let r(w) be the second derivative of i(w). What is b(r(g))?\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1010812474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*(-45)\/(-10) + 6. What is the closest to 8 in -2, 2, g, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1\/4)\/v)\/(v\/((v*v**(-4)*v)\/v*v*v)))\/(v\/v**(-2\/5))**(-2\/3)*(v**(-1))**(24\/5)\/(v*v**(-6)*v**(3\/7)\/v*v) assuming v is positive.\nAnswer: v**(-1069\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 335660  (b) -2\/3  (c) 4  (d) 3\/2  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from oyssdgh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4.358?  (a) 5  (b) 33  (c) -1\/7  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 16  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-810)*36 - (-2)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(90) - sqrt(90) - sqrt(90))\/sqrt(5))\/(sqrt(30)\/(sqrt(45) - sqrt(5))) + (sqrt(33)\/((sqrt(132) + -1*sqrt(132) - sqrt(132))\/sqrt(12)) + 0)**2.\nAnswer: -8*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -644*v**3 - 7*v**2 + 9633*v + 7*v**2 + 4631*v**3 + 273*v**3 wrt v.\nAnswer: 25560*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/18 and 50\/567.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of (111822\/9 - -11) + (4 - (-56)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2. Suppose -5*a + 24 = -t, -6*a = -a - 5*t - 40. Let z(u) = 2*u**2. Let o(v) = -3*v**2. Let n(x) = a*o(x) + 5*z(x). Give p(n(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(3\/7)\/a*a**6)**(5\/16) assuming a is positive.\nAnswer: a**(95\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 120778921\/171283 + 9\/24469. Let f = y - 705. Put 1, -1\/5, 0.073, f in decreasing order.\nAnswer: 1, f, 0.073, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1987*c*y**3 - 4*c*y**2 + 64*c + 2*y**3 + 149*y wrt y?\nAnswer: 11922*c*y - 8*c + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -0.3, -357, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -484*d**5 - 384*d**2*s + 88*d*s + 568*d + 3*s wrt d?\nAnswer: -9680*d**3 - 768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (166\/25)\/((-882)\/105) and 44\/49.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 28811 = q + 28805, 2*q + 36 = -6*q - 20*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 221708426.\nAnswer: 2, 283, 391711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*j - 49*j + 3963 = o, 4*o - 2*j = 15822. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.5 + -2. Let s = -0.03 - -0.13. Let k = s - 0.2. Which is the second smallest value?  (a) -2  (b) p  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -6. Let t(x) = 10*x - 5. Let b be t(4). Suppose -4*z + b = -v, -z = 4*v - 34 + u. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 3*t**3 + 7*t**2 + 7*t. Let f(i) be the first derivative of i**4\/4 + i**3 + 3*i**2\/2 + 1. Suppose -4*s + 6 = -22. What is s*f(m) - 3*d(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -88 + 260*d + 89 + 190*d - 54*d**2 wrt d?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, u: 2, i: 4, n: 9}. What is prob of sequence ni?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h = -23 + 44 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + -605?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2378783963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9659 (base 14) to base 16.\nAnswer: -655f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -28 or -9708?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -244 - -244.2. Which is the nearest to 8?  (a) -1\/8  (b) r  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is bdc (base 14) in base 3?\nAnswer: 10020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 501112923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 7, y: 1, o: 1, v: 2, w: 5}. Give prob of picking 1 o, 1 v, and 2 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**0)**6\/(b**(1\/4)*b*b**(3\/8)\/b) assuming b is positive.\nAnswer: b**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -948948 >= -948946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 731 divide 54583071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 7 + 1)*(0 + 2*z + 0) in the form p*z + v and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -157.759 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1023 a factor of 4727684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -136 * 454721\nAnswer: -61842056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -5  (c) 9  (d) -4  (e) -1053  (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = 4*l + 13, -h + 203*l = 200*l - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/18*(-436)\/(-112). Let j = d - -31\/9. Is 2 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1944.8 + -2003.841. Let n = -59 - j. What is n rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -5*a**6\/6 + 9*a**4\/2 + 187*a**3\/3 + a**2 - 366. Find the third derivative of d(h) wrt h.\nAnswer: -300*h**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-2*sqrt(1836) - sqrt(51)))\/((sqrt(120)\/sqrt(4))\/sqrt(10) + sqrt(15)\/(1*sqrt(5))).\nAnswer: -39*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -10 - 53*m + 54*m + 3. Let q be d(7). Suppose 0 = 5*g - 15, 3*s + 0*s + 4*g - 27 = q. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -34 + -11 + 34 - -63.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 - 14*y + 64. Let s(m) = -2*m**2 - 13*m + 64. Let q(b) = 2*s(b) - 3*w(b). Factor q(d).\nAnswer: -(d - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 + 5*w**2 + 6*w + 1. Let d be g(-4). Let i(z) = -z**3 - 6*z**2 + 7*z + 2. Let p be i(d). Suppose j - 9 = -p. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l - 43*l**2 - 117*l**2 + 154*l**2 + l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of m**6\/120 - m**5\/6 - m**4\/8 + m**3\/3 - 43*m**2. What is the tens digit of h(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1338865423*s + 1130835938?\nAnswer: -1338865423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 102383875 divided by 1077725?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 + 17*p**2 - 19*p + 57. Let r be f(16). Suppose -4*w - s + 197 = 0, 0 = -4*w - 5*s - r + 210. Calculate the remainder when w is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 4. Suppose -3*t - 1 = -2*n + 7, 16 = 4*n. Put k, t, 20 in descending order.\nAnswer: 20, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*s**3 + 2*s**3 + 0*s**3 + (2*s**3 + 14*s**3 - s**3)*(-124 + 333 + 124) + 4*s**3 - 3*s**3 + s**3 to the form k*s**2 + h*s + o*s**3 + j and give o.\nAnswer: 4995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(40\/15 - 3). Suppose -5*s + 10*s = -3*l + 66, -t*s = 9. What is the greatest common factor of 18 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*b - 492 = 34*b - 7*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c - 10*c - 8*c = -21735. What is the remainder when c is divided by 210?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -267\/11 + 318\/11. Let o = 1240\/111 + 6\/37. Calculate the common denominator of x and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 170587*l - 16035177. Give x(94).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 12:23 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -46618179  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 317239 divided by 1\nAnswer: 317239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5424*c = 5518*c - 1410 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 3*x**3 + 1140*x**2 - 14052*x + 23520 = 0.\nAnswer: -392, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/8 in -2, -3.6, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120) - (sqrt(120) - sqrt(120)*3))\/(1*sqrt(20)\/sqrt(2)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13241503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 168 - 86 + 47*r**2 - 84 + 220*r**2 + 88*r**2.\nAnswer: 355*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -1 + sqrt(720) + -5 - 6*(sqrt(45)*1)**2*6.\nAnswer: -1621 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*2*-1*sqrt(77))\/(-1*sqrt(44) - sqrt(44) - 1*sqrt(1100)).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 3*m = -4*p - 24, m = 0. Let k(g) = -4*g**2 - 6*g. Let b(q) be the first derivative of -1\/2*q**2 + 0*q + 2 - 1\/3*q**3. What is p*b(j) + k(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/27)\/((-19)\/(-171)). Let s(d) = 6 - 9*d + 3 - 1. Let h(u) = -u + 1. Determine o*s(l) + 6*h(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 15, 8, -2\/11, -3, 2.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 4) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**2 + 7*l + 8. Calculate t(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -g**2 - 2400*g + 75361 = 0. What is g?\nAnswer: -2431, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 4*s - 5*m, -2*m - 46 = -2*s - s. What is the remainder when 62 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -199588*h**2*s + 33*h**2*u + 2*h*s*u + h*s - 2008*h - 41 wrt h?\nAnswer: -399176*s + 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5945794 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (-4 + (-26)\/(-5))\/((-2)\/(-155))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/24 and -157\/81059928.\nAnswer: 81059928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/(-15))\/((-2)\/10). Let j be (-2 - v)\/(2 + -4). Suppose 2*q + q - 3 = j. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -18*g - 280. What is s(-13)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 75\/416 and -127\/2028?\nAnswer: 16224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 17*x - 5*x + 42 = 0, -7*x = -20*x + 8*x - 20 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(-3 + 3 - 3*t) + t - 1 + 1 + 3*t - 5*t + 4*t + (2*t - 6*t + 3*t)*(3 - 2 - 3) + (-15 - 15 - 7)*(2*t - t + t) + 3*t - 5*t + 0*t + 3 - 3 - 2*t.\nAnswer: -79*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 348876042 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 112 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 43 - 4*n**2 - 4*n + 7*n**2 + n**3 - 36 + n**2. Let d be b(-5). Suppose 0 = d*i - 22 - 6. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/2712 and 5\/9?\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -10*a**2 - 221*a + 71. Is k(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2620037586 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 90, 89, 88, 87, 86, 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -3, -3\/11, -2\/7, -10?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) -4  (c) -2\/25  (d) 0.041  (e) 3  (f) -197  (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000212221022 (base 3) in base 11?\nAnswer: 345432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 270 + -261. Suppose 4*z + 4*w + 368 = 0, 2*w + 103 = -z + 14. Let a = -68 - z. Calculate the highest common factor of l and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(80) - sqrt(80)*1)*1 - sqrt(80))\/(2*sqrt(1000) - sqrt(1000)))\/((sqrt(24) - sqrt(384)*-4)\/(sqrt(216) + sqrt(6))).\nAnswer: -7*sqrt(2)\/170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*u + 17. Suppose r = -3*a + 4 + 2, 5*a - u*r = -7. Put -2, a, 2 in increasing order.\nAnswer: -2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0142378 - -27257.\nAnswer: 27256.9857622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.02393792069 and -1?\nAnswer: 0.97606207931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, 169 in decreasing order.\nAnswer: 169, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 316614 + -2?\nAnswer: 316612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 8 - 10*k**3.\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.9 - 0.5. Let r = -1222.7 - -1276.7. Which is the nearest to 0?  (a) m  (b) -5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 1946*o + 8. Give a(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-10))\/((-94)\/235).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - 633*i - 92156. Give x(-406).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -160\/377 at most -33.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 3 + (-32)\/1. Is -28 != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27 + 67 + -33 + (0 + -1 - -5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2773 - -2774. Which is greater: x or 0.97?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 2 + (2 + 6*(sqrt(243)*-1 - sqrt(243))*1)**2.\nAnswer: -432*sqrt(3) + 34999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1*8)\/((-45)\/5))\/(3272\/(-176688)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*l - 128372 = 30*l. Is l a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8243, -0.4, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 2 - (-78 + 49 - 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/184 and -83\/483.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of -r**4\/24 + 11*r**3\/6 + 8*r. Let n(l) be the second derivative of m(l). Let f(i) = -2*i. Calculate f(k) - 2*n(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(((-120)\/(-5))\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 166792537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 216 = -2*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(7 + (-8)\/((-168)\/(-119))). Let u = 20 - 43. Which is the nearest to 0.1?  (a) o  (b) u  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2*o + 24 = 2*q, 8 = 4*o. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 1 + a + 3 + 5. Let j = 156 - 162. Give v(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10220 - -2212?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 + 219\/7. Let t = -0.242 + 0.642. Which is the closest to v?  (a) t  (b) -2\/15  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 3*c**3 + 831*c**2 + 4079*c - 96. Determine v(-272).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*r + 8 = 0. Let d(a) = -11*a - 4 + 0*a + r*a + 3. Is 8 a factor of d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + d**3 + (-7*d**2 - 1 - 2*d + 1)*(-2*d + d - d).\nAnswer: 15*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*l + 85 = 369 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 21 - 2)*(-6 - 6 + 7)*(3*i**2 - 2*i**2 + 0*i**2).\nAnswer: 130*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -53.59849 rounded to 1 decimal place?\nAnswer: -53.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 18 - 7 = 0. Solve -n*w - 3 = a + 2, w - 3 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -4*p - 4. Calculate b(9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of o**7\/120 + o**6\/360 - 4*o**3\/3 + o. Let j(w) be the second derivative of p(w). Calculate j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -319 (base 10) in base 11?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 11*r**2 + 3*r - 15. Let s(z) be the third derivative of -z**5\/15 - z**4\/24 + 5*z**3\/6 - z**2 - 641. Calculate 3*j(g) + 8*s(g).\nAnswer: g**2 + g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 4*y. Let p = 54 + y. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 39.21832 years?\nAnswer: 0.3921832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - 19672944669.\nAnswer: -19672944669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/13)*c**(3\/7))\/(c**(2\/55))**(-3\/10) assuming c is positive.\nAnswer: c**(5223\/25025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 1672 divide 945910493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 4 + 1. Let m(b) = 2*b**4 - b**3 - 2*b. Let i(s) = s**4 - s**3 - s. Let p(o) = g*i(o) - m(o). What is the second derivative of p(y) wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -3*j**2 + 55*j - 80. Let y be h(16). Solve -2*m + 2*z = -2, 5*z + 1 - y = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1695 is divided by 396.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 15.8, 0.1, 146, 4\/9?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 6*n**3 + 14*n**2 + 8*n - 8. Suppose -z - 3 = -2*z. Let j(f) = 4 - 3*f + 0*f - 5*f**2 - 1 + 0 - 2*f**3. Calculate z*c(s) + 8*j(s).\nAnswer: 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (z**2 - 2*z**2 + 2*z**2)*(8424 - 4111*z - 16859 + 8435) in the form b*z**3 + p*z + t*z**2 + g and give b.\nAnswer: -4111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21266 + l + 21266.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9017673 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1199, -2382, -3563, -4742?\nAnswer: -5919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -7*h**2 + 6*h - 5. Suppose 4*g - 38 = 5*c, 0*g + 12 = -3*c - 3*g. Let z(f) = -f**2 + f - 1. Determine c*z(v) + b(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -23 and -14.69659.\nAnswer: -37.69659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.12 - -0.02. Let m = -0.039 + 0.129. Which is the nearest to x?  (a) m  (b) 2\/19  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24814 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: What is the fourth smallest value in -5, 0.072, 2\/9, 2, -3\/8, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k - 4. Let i(z) be the third derivative of -z**5\/30 + z**4\/24 + 55*z**3\/6 - 15*z**2. Let s be i(0). Suppose 0*g - s = -5*g. Give q(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -f**3*r**3 + 2*f**3 - 8*f**2*r**3 - 5*f*r**2 + 2*r**2 wrt r?\nAnswer: -6*f**3 - 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand j - 3*j + j - 128 + 22*j + 128 - j + 2*j + 0*j + (3*j - 2*j + j)*(-1 - 1 + 1) - 13 - 6*j + 13.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - -5. Let o = 12.98 - r. Let t = 0.184 + o. Round t to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 24*w - 73*w - 2 + 53*w + 86*w + 54*w - 311*w**5 wrt w.\nAnswer: -6220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 - 2*f**2 + f + 1. Let p = 268 + -263. Suppose -6*c - 9 = -4*n - p*c, 3*c - 7 = -5*n. Calculate q(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (0 - (6 + -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2 + 6*d**2 - d**4 + 9*d**2 + 18*d**3 + 0*d**4 + 12*d**3 wrt d.\nAnswer: -24*d + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -64*w - 380. Let g be y(-6). Suppose -4*f + g*f = 6*f. Let h = 3749 - 116207\/31. Is f at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 + 6 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -58*s. Let a(u) = 18*u. Calculate y(a(p)).\nAnswer: -1044*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -188865.29 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**3 - 240*i**2 - 13464*i + 1747872 = 0. What is i?\nAnswer: -84, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3 = q, -q - 1 = -0*q - l. Let x = q + 18. Let u = -5 + x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -657  (b) -165  (c) -6  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71882*n + 143783*n - 71874*n.\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5119859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -4*n - 24. Let k be x(-7). Let m(l) = 3*l**2 - 5*l - 3. Is 25 a factor of m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 142*z**3 + 87*z**2 + 2*z + 111478.\nAnswer: 852*z + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -3901, -5, 5, 6, -1701 in ascending order.\nAnswer: -3901, -1701, -5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/72506 and -39\/20716.\nAnswer: 145012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 156.61 + -155. What is the third biggest value in -5\/4, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o - 2 - o + 27. Let k(f) = 6*f + 12*f - 169 - 20*f + 169. What is k(d(t))?\nAnswer: -2*t - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 66 + -52. Suppose -18*k = -11*k - b. What is the biggest value in -10, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-12)*((-444)\/10730)\/(3\/10)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 PM and 8:02 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-4))\/((-1095)\/(-2628)). Determine n so that z*n - 3\/5 - 3\/5*n**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42806049 divided by -141\nAnswer: -303589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 67\/5 of a micrometer?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4 + 1.6. Let u = q - -3. Which is the nearest to 1\/3?  (a) 3\/5  (b) u  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 99, -140, -425, -756, -1133, -1556, -2025?\n\"Answer: -23*c**2 - 170*c + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n**(-2\/17)\/n)*(n\/n**(1\/16)*n)\/n)\/(n**(-2\/3)\/n**6))**8 assuming n is positive.\nAnswer: n**(7933\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 261983022 divided by -366923\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 12:13 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 314 + 873 = 3*h - 4*w, 4*w = 2*h - 798. Suppose m + b = 153, 0 = 5*m - b - 358 - h. Suppose -6*s - m = -5*d - s, -4*s = 0. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 1 = w, -w - 3*o = 2*o - 23. Suppose 4*r = w + 5. Determine i, given that -1\/4*i + 0 - 3\/4*i**r = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.17 - -0.13. What is the closest to -1\/2 in -4, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -228583926?\nAnswer: 914335704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 174433416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/143?  (a) -15\/28  (b) 5  (c) -13\/2  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -d - 3*n, 4*d + 4*n = -2 + 6. Suppose 0 = 9*x - 3*x - 66. Calculate the least common multiple of x and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -0.2, 0.4, 4, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 + 5*u**2 + 2*u + 2. Let q be z(-4). Suppose -3*h + 7*h = 320. Calculate the highest common factor of q and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5979 is divided by 1012?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w**3 + 15*w**2 + 27*w + 150. Let d be u(-7). Let a(o) be the first derivative of d*o**2 + 24*o - 20 + 4\/3*o**3. Factor a(x).\nAnswer: 4*(x + 2)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1690, 6883, 15538, 27655, 43234, 62275, 84778?\nAnswer: 110743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4321924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 12:29 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1222 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1.113 times 24824\nAnswer: 27629.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -59*g*i**2*l*t - 2*g*i*l*t + g*i*t + 5*g*t - 20*i**2*l - 4*i + l wrt i?\nAnswer: -118*g*l*t - 40*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, m: 7}. Give prob of sequence mo.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8.93 - 0.23. Let s = d + -9. What is the nearest to -1\/2 in 1\/2, s, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 4*s**3 - 3*s. Let i(y) = 6*y - 7*y**3 + 1 - 13 - y + 13. Calculate -3*i(g) - 5*j(g).\nAnswer: g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, w: 7}. What is prob of sequence wwww?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lh when two letters picked without replacement from rhojxrl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 PM and 1:42 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2632 * -14345.2\nAnswer: 37756566.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 25403, 50788, 76181, 101582, 126991, 152408?\n\"Answer: 4*d**2 + 25373*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -18632757 equal to -18632765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 117320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -55 divided by 1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 631187103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (((-6)\/2 + 3)\/1)\/(-2). Solve a = 8*m - 5 - 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of -k**2\/2 + 1. Let f(a) be the second derivative of 83*a**3\/6 + a**2 - 25572*a. Determine f(i(b)).\nAnswer: -83*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36, 38, 40?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -17, 15 in descending order.\nAnswer: 15, 7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of 82*f**6\/3 + f**2\/2 + 154*f + 2288. Find the second derivative of g(y) wrt y.\nAnswer: 3280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311026 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -69 + 126. Suppose 2*h + t = 18, -15 + k = 4*h - t. Calculate the greatest common factor of 110 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w - 31. Let a be x(3). Let o be a\/13 - (3 + (-123)\/39). Let d(b) = -1294*b - 9. Is d(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14687648 and 11015736?\nAnswer: 44062944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -19200*i**2 + i + 5. Let y = 31 + -21. Suppose 0 = -2*u + 4*u + y. Let z be f(u). Round z to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 54944264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 0*l**3 + 3*l**2 - l**3 - 1 + 1. Let m be h(3). Solve -j + m*q + 2 = -q, -2*j + 5*q = -10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -25. What is the tens digit of ((-2)\/3)\/((-1)\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -2*o + 26964, 6 = -160*u + 162*u. What are the prime factors of o?\nAnswer: 3, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 + 9*t + 1. What is a(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 22710 divided by -757\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*h + 25 = 9*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20130 divided by -10.\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i - 3. Suppose 6 = -b + 2*r, 4 = 4*b + 5*r - 37. Let g be p(b). Solve -5 - 5 = 2*l + 5*k, -g*l = 2*k - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 856176161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v\/v**(1\/4)))\/v*v\/(v\/((v\/v**(-5))\/v))*(v*v**(2\/5)\/v)\/(v*v*v**(-4)) assuming v is positive.\nAnswer: v**(153\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 6*k**2 - 10*k + 8. Determine o(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 13\/4 of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 9, x: 3}. Give prob of sequence xxlx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 626*g - 622*g + 1 - g**2 + 12. Let d be i(0). Suppose -5*f + d*f = 16. Calculate the highest common divisor of 16 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 772*r**3 - 386*r**3 - 387*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-76072)\/(-12) + 20\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 3*o + 8 = -u, 4*u - 4*o = -36. Let h(j) = -18*j - 14. Let g(v) = 4*v + 3. Let n(f) = 14*g(f) + 3*h(f). Calculate n(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14841 and 2907.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 861.139126 + -905.1391231. Let i = -44 - t. Round i to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10 or 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {j: 6, h: 12}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1937300722 - 1094.95\nAnswer: 1937299627.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m**3 + 5*m**2 + 3*m - 17. Calculate z(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15354\/19205 + 2\/3841. Suppose l = 3, -l + 15 = 5*h + 12. Determine d, given that -8\/5*d + h + m*d**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34*o - 42*o - 92*o - 31*o to the form i*o + x and give i.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 366 - 98 = -4*p, 5*p + 3*c = 579. What is the highest common divisor of p and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2 + 38825*o - 7601820.\nAnswer: -5*(o - 7564)*(o - 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 478 + 7810. Solve t = -8*z + 8232 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (40\/77)\/(48115\/(-404166))\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15\/10 + 28\/8 + -4. Let v(u) = 144*u - 23. Let n(c) = c - 3. Let b(x) = r*v(x) + 6*n(x). What is the first derivative of b(p) wrt p?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1309 - -5789. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - -10 - ((-1 - 6) + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -25*x**2 + 3. Let w be u(-2). Let g = w + 42. Let j = -48 - g. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) -1  (c) -6  (d) -83  (e) 2  (f) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -563687*t - 3852 = -563580*t for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40 (base 7) to base 3.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3936 and 4428?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/117 - (-2853820)\/94965\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(187) - 3*sqrt(187)) - (sqrt(187) + 6*-2*sqrt(187)))\/(-4*4*-2*sqrt(275)).\nAnswer: sqrt(17)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + 221e162?\nAnswer: 221e160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/7, 213, -33, 0, -1 in descending order.\nAnswer: 213, 1\/7, 0, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 3*y**4 - 108291*y**3 + 216573*y**2 - 108285*y = 0.\nAnswer: 0, 1, 36095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9879 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/3 - 5009\/(-7527). Let w = k + -102836\/27599. Find the common denominator of 1 - 27\/9 - (-102)\/20 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in sixty-one quarters of a kilogram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3707, -7411, -11119, -14831, -18547, -22267?\nAnswer: -25991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 - 33*z - 111. Let p be y(-4). Solve 4*t = 3*a - t + 21, -5*a - p*t + 5 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13121177?\nAnswer: 1087, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8 + (-1 - -1)\/(-3). Let s = j - 1. Let y = -3 + s. Which is the nearest to -1?  (a) y  (b) -2  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 376888 is divided by 517.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53253*w - 54756*w + 108010*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of m**4\/4 + 5*m**3\/3 + 5*m**2\/2 + 4*m - 25. What is r(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17922 + 860177\/48. Calculate the common denominator of -35\/16 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 12:58 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/sqrt(4)*3*-6.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, -2, -0.2, 0.\nAnswer: -39, -2, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 481349 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 PM and 6:20 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2\/21 - 244*f\/3.\nAnswer: -2*f*(f + 854)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 24*l - 48. Solve -l*c = c + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23066 + -10389. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.53823 - 0.6713?\nAnswer: 0.86693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7545 is divided by 44?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, i: 5, f: 1}. Give prob of picking 2 x and 2 i.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-22)*(103 - 102)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26 + 20. Let j(z) = 4*z - 2*z - 7*z - 10. What are the prime factors of j(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21212012 + 12100?\nAnswer: -21122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 540 and 13558212.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 8, a: 7, v: 1, f: 1, k: 2}. Give prob of sequence nfk.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 10*r**3 + 6*r**2 + 4*r + 1. Let f(a) = -3*a**3 - 2*a**2 - a. Let s(w) = -7*f(w) - 2*i(w). Suppose -12 + 2 = 5*b. Give s(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.23 + 0.07. Let x = h + -0.4. Let j = -133\/4 - -33. Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35\/14*146\/5?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*g*t**2 + g*t - 122*g + 416*t**2 - t + 2 wrt t.\nAnswer: -42*g + 832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 11:58 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 4 + 4)*(2 - 3 + 3) - 2 - 1 + 0)*(1 + 9 + 3)*(3 - 2 + 0)*(2*b - 2 - 3 + 0).\nAnswer: -130*b + 325","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oxoqboc. Give prob of picking 1 q and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 44 and 37664176.\nAnswer: 37664176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppijipemppnpiiimiin. Give prob of picking 1 m and 1 e.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1595+3372.4\nAnswer: 4967.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/8*(3 + -3). Suppose 438 = -3*n - i*c - 3*c, 4*c + 729 = -5*n. Let m = -88 - n. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 257965809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.3 + -1.7. Let m = v - -7.06. Let r = m - 0.06. Put r, 0.3, -1 in decreasing order.\nAnswer: 0.3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11088 + 2*x**3 + 18*x**2 - 11088.\nAnswer: 2*x**3 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 - 7237*a + 225315. Determine c(31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -41*m**3 - 4*m**2 + 19*m - 2. Let g(v) = v**2 + 36 + 37 - v**3 - 72 - v + 2*v. Let j(p) = -f(p) - 2*g(p). Find the third derivative of j(s) wrt s.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15696281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from adegdah.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vqqvqkvvqqvqqqqqq.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (b**2 + 3 - 3 + (4 + 0 - 5)*(-2*b**2 - b**2 + 6*b**2) + b**2 - 2*b**2 + 0*b**2)*(3*b + 2 - 2) in the form d*b + j*b**3 + t + l*b**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 2:06 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 21*z + 481. Let m be c(-23). Let n = 16.8 - 17.8. Let w = -0.11 + -3.89. What is the closest to m in w, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 699 a factor of 235142384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6084*k**4 - 1759030260*k**3 + 127144432395553*k**2 + 3260114518540*k + 20898171844.\nAnswer: (k - 144562)**2*(78*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of d**5\/30 + d**3 + 2. Let a(m) be the third derivative of f(m). Let i be a(4). Solve -l - 3*l = -i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.1, 3, -1.\nAnswer: -5, -1, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x - 6. Let s be j(-4). Let c be ((s - 1) + 1)*-1. Let o be 30\/9 + c\/3. Solve z - o = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*p - 10 = -34*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2169 is divided by 218?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 45 - -12. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2449769.306 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*m**2 - 48 - 10*m + 97 - 28*m + 9*m - 48.\nAnswer: 80*m**2 - 29*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 427281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from hnnnnnznnnnnn.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*w - 8*w - 1 = a, -6*a - 6 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 713*b**2 - 23022*b + 23022*b.\nAnswer: 713*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 26 and 760.1.\nAnswer: 786.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -91  (b) -1\/2  (c) -739  (d) 2\/11  (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of -u**5\/30 - u**4 + 13*u**3\/3 - 20*u**2. Let m be v(-13). Which is bigger: m or -4.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1146901333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1115, 2218, 3321, 4424, 5527, 6630?\nAnswer: 7733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 5*s**2 - 2*s - 6. Let h be o(-5). Suppose 0 = -5*p + 20, -5*f - 4*p + 12 = -h. Which is smaller: f or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*56\/880*28\/49\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/9 - ((-1045)\/(-693) + -2 + 1). What is the nearest to 16 in -2\/5, -3, j, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 + 7*q**2 + 5*q**2 + 111 + 5*q**2 - 18*q**2.\nAnswer: -2*q**2 + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 65 + 63226?\nAnswer: 63324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 19*v - 42. Let i(n) = 8. Let d(j) = 2*i(j) + o(j). Let k be d(2). Solve -14*y + k = -11*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -920, -923, -926, -929?\nAnswer: -932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-10) + (-4)\/(-40). Let h = -2 + 5. Which is the nearest to -0.2?  (a) t  (b) h  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -3*n, -11*t + 3*n = -9*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 780 and 14218590?\nAnswer: 369683340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7\/(-196)*-44 + 9\/21. Let w(x) = x + 1. Let z(u) = 28*u - 19. Let g(k) = b*z(k) + 4*w(k). What is the first derivative of g(y) wrt y?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/4 - 830*h + 688900.\nAnswer: (h - 1660)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -5*b**2 - 3. Suppose -14*s + 3*s + 44 = 0. Suppose 2*h - 5 = 5*u, 2*u - s*h - 4 = -22. Let x(a) = a**2 - 1. Determine u*t(z) + 6*x(z).\nAnswer: z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1352 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 62156.34ns?\nAnswer: 0.00000001726565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -71 + 47. Let m = -18 - s. Suppose 3*a - 297 = -m*a. Calculate the lowest common multiple of 18 and a.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/3 at least as big as 5\/3748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is t in t**5\/3 - 39332*t**4\/3 + 104865*t**3 - 117940*t**2\/3 - 1258396*t\/3 + 367024 = 0?\nAnswer: -2, 1, 2, 7, 39324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6541 - -9888. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f - 7160 = 148. Which is greater: f or 813?\nAnswer: 813","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -40879.3972 rounded to the nearest 100?\nAnswer: -40900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 73157.656 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 110 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -10210001111122?\nAnswer: 10210001111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 556087 is divided by 314.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3012 - 6663 = 0. Suppose t = p - w, -9*t = -4*t + p + 48345. What is t rounded to the nearest 100?\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4595 and -2?\nAnswer: -9190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 297, 272, 257, 258, 281, 332?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-215)\/(-45) + (-26)\/(-117)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b - b - 5*b + (-2 + 2 + 1)*(-4 + 4 - 2*b) - 3*b + 5*b - 3*b + 4 + 2*b - 4 + (2 - 3 + 2)*(0*b + 2*b + 0*b))*(-3*b**3 - 2*b**3 + 4*b**3).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/3  (b) -0.2  (c) 8  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8\/11 - 94\/99. Let j = 0.8 + -1.1. Let y = 0.2 + j. Sort 3\/2, f, y in ascending order.\nAnswer: f, y, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3450 - -4931. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4630470 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*7\/(420\/15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - (-196974)\/(-32))\/1. Let p = h - -6154. Find the common denominator of -61\/10 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 18*b**2 + 1 + 25*b**2 to the form c*b**2 + w + f*b and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f - 23 - 2*f - 3*f + 5*f. Let j be g(-14). Suppose -2*o + 3*o = -2*c - 7, 0 = o - j*c - 28. Let q(s) = 2*s - 2. Determine q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9365737 divided by 89?\nAnswer: -105233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 2*i. Let n be v(-6). Let b be -85 + 18\/9*-2 + 5. Let a = n - b. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5722\/3, 0.4, -0.105, 0 in increasing order.\nAnswer: -0.105, 0, 0.4, 5722\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dgdddddddddgddddgddg. Give prob of picking 3 d.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add 230747 and -72.\nAnswer: 230675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -3*m. Let b(r) = 8*r**2 - 5*r**2 + 0*r**2. What is h(b(u))?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 7, x: 4, d: 7}. Give prob of picking 1 z and 3 x.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3\/7, -4, 0.233, -0.056 in decreasing order.\nAnswer: 1, 0.233, -0.056, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 0*h - 4*h)*((-3 + 3 + 1)*(-4*h + 2*h + 4*h) - 1 + 2*h + 1 + (2*h - 1 + 1)*(709 - 270 + 292)).\nAnswer: -2932*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 23 = 1. Let m = -8 + n. Differentiate -p + p - p**2 + m*p + 2 with respect to p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/348 and 71\/11500298?\nAnswer: 69001788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-6)\/(y\/(y**(-1\/8)*y))*(y*y**2)\/(((y**(-2\/11)*y)\/y*y)\/y) assuming y is positive.\nAnswer: y**(-259\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3 - (-12 - -4) - 17 - -381 is divided by 59?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -83 - 72087?\nAnswer: -72170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4003706661 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54370, 217447, 489242, 869755, 1358986?\nAnswer: 1956935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 226*n. Let v(u) = u**2. Calculate p(v(c)).\nAnswer: 226*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7911.73 and -78.6.\nAnswer: -621861.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 82 - 76. Let s be (-512)\/g - -1*(-4)\/6. Let m = s - -84. Sort 15, -4, 1, m.\nAnswer: -4, m, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/224 and 43\/84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -48 - (-102 + (164 - 75)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 87757, 177220, 266683, 356146, 445609?\n\"Answer: 89463*f - 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 221*j**2*p - 72*j**2 + 2*j*p - j - 15*p + 16070 wrt j?\nAnswer: 442*p - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -4*w - 9. Let z = 17 + -28. Let o = z + 5. Let g be c(o). Solve 7*a = 2*a - g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*s - 18*s - 245. Calculate the remainder when 138 is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 divided by 928.\nAnswer: 3\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.286673 to three decimal places.\nAnswer: -2.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35*b**2 - b**4 - 962*b - 980*b + 2*b**3 + 5*b**4 + 1944*b - 3*b**4 to f*b + g*b**4 + s*b**3 + r*b**2 + u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2169155117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 3\/7  (b) 0.03  (c) -4  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.038 - 0.338. Which is the third biggest value?  (a) -0.4  (b) -3\/32  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2273 - -0.11533.\nAnswer: 2273.11533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-4)*f)**45)**(-45)\/(((f*f\/f**(1\/5)*f)\/f)\/(f\/f**(-3\/8))*f*f**(-4)\/f*f*f*f**(-4)) assuming f is positive.\nAnswer: f**(243223\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*i - 14*i - 29232 = -58*i. Calculate the remainder when i is divided by 167.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 13\/39 + (-16)\/3. Which is the smallest value?  (a) 5  (b) 4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(-1 - 4\/(-2)). Let k be 37\/(-8) - 1 - -6. Is k bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2815819835?\nAnswer: 5, 563163967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -21*s**2 - 12*s + 30. Let h be r(6). Let m be 1\/(-4) + h\/(-56). Which is the third biggest value?  (a) m  (b) 2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 3*i**2 + 10*i - 11. Let z be s(5). Suppose -2*m + 4*r + z = -137, 3*m = 2*r + 323. What are the prime factors of m?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195 = -4*i - 889. Suppose -4*m + 20 = 0, 1011 = 2*v - 11*m + 16*m. Let b = v + i. What are the prime factors of b?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, s: 1, m: 1, g: 2}. What is prob of sequence mq?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 213744, 213736, 213724, 213708, 213688?\n\"Answer: -2*x**2 - 2*x + 213748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 4. Suppose -5*j + d*j + 6 = 0. Solve 5*y - 14 = -2*c, 5*y - j*c = -c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1074?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9418 or -103596\/11?\nAnswer: -9418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(2 - -1))\/(-1). Let z be (2 + (0 - 6))*d. What is the second derivative of -y - 5*y**5 + z*y**5 - y wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -108.9999978 - -109. Round g to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4868, 4876, 4888, 4904?\n\"Answer: 2*z**2 + 2*z + 4864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 752 = 3*u - 145. Is 37 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1225143 is divided by 740.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1067 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 326342 + -2631?\nAnswer: 323411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 5*h + 15 = 0, 1086*x + 5*h = 1081*x - 50 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -235*r + 4 = -237*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 244306 + -2?\nAnswer: 244304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -152065.1 less than -0.5?\nAnswer: 152064.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-28 + 14) - (2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 73\/4 of a second?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-10))\/(5\/(-25)). List the prime factors of (-24)\/(-9) - z\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 50.6  (b) -4\/3  (c) 32\/3  (d) 54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 AM and 7:49 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20060 = 11*w - 7699 + 567. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-3) - (-102)\/18. Suppose u*f - 2*g - 18 = 0, g + 0*g = -4. Suppose 0*m + 16 = 3*m - f*v, 12 = 3*v. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7260)*2 + sqrt(60))\/(-6*(sqrt(12) - 2*sqrt(12))).\nAnswer: 23*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3521 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2608 - 2204 - 9546 + 2*f**2 - 5992 - f**2.\nAnswer: f**2 - 20350","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1643*n**2 + 2754*n + 38*n**3 - 297*n + 949*n - 40*n**3 - 49*n wrt n.\nAnswer: -12*n - 3286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1748 and 324140.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 320 = -312. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*n + 2*n + 37*n + 12*n - n - n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 53651531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -223 - -1?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from blbrbbbbbbb. Give prob of picking 1 l and 1 b.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 + 16*r**2 + 14*r - 5. What is the remainder when 38 is divided by j(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20.62743 millilitres to litres.\nAnswer: 0.02062743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2*(sqrt(243)*1*-1 - (-2 + (sqrt(243) + -2*sqrt(243))**2 - sqrt(243)))*-1.\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -781*z**2 + 847*z. Let m(q) = 13*q**2 - 14*q. Let b(d) = -2*i(d) - 121*m(d). Let p(w) = 46*w - 19*w - 18*w. Determine p(b(h)).\nAnswer: -99*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 83479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14261988779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 + 2*l**2 - 2*l - 1. Let a be c(-2). Suppose -a*v - 10 = -8*v. Let k(s) = 4*s**2 - 1 + s**2 + s - 3*s**2 + s**v. Determine k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/13, -100966, 0.4, -4\/7, -2 in increasing order.\nAnswer: -100966, -2, -4\/7, 1\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 2*c - 23. Let n(d) = -4*d + 42. Let q(s) = -7*g(s) - 4*n(s). Determine q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24\/(-10)*555\/(-74). Suppose 7 = 2*d + 4*p - 833, -2067 = -5*d + p. Calculate the highest common factor of d and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7752 + 451*p + 7752 + 1635*p)*(2 + 7 - 3)*(0*p**3 - p**3 + 2*p**3) to x*p**4 + d*p**3 + s*p + q*p**2 + r and give x.\nAnswer: 12516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 20, -5\/8, 1?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.3 + 1.7. Put -1\/3, u, 5 in decreasing order.\nAnswer: 5, u, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7860 and 96?\nAnswer: 62880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -4*x**3 - 2*x - 1. Let v be n(-1). Let c = -57 - -142. Suppose v*d - 45 = c. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2 + 627*k + 4824.\nAnswer: 3*(k + 8)*(k + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(189)\/(1*sqrt(7)))**2 - (-2 + 0 + sqrt(27))) + -3.\nAnswer: -3*sqrt(3) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 5*c = 19, 0 = -u - 0*c - 5*c - 7. Sort -4, u, -3 in descending order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3885706043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-eight fifths of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2314, 4727, 7282, 9991, 12866, 15919, 19162, 22607?\nAnswer: 26266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 95.69 * 0.02\nAnswer: 1.9138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + z - 2611 = 0, -4*p + 1269 = 2*z - 815. What is the remainder when p is divided by 104?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-29))**(1\/15)\/(j*j**(-12)*j**(-4\/15)) assuming j is positive.\nAnswer: j**(199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, e: 5}. What is prob of picking 3 e?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 2000306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b - 11. Let n be z(5). Let s = n + 15. What is the greatest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 16 = -o - 0*o, 0 = -v + 5*o - 4. Let y(z) = -19 - z**3 - z + 7*z + 25 - 3*z**2. Let x be y(v). Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12522 is divided by 807.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 - 2*k**2 + 10*k - 2. Let w be y(-8). Suppose -4*g + w = 3*p, 3*p - g - 243 = 49. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*n**6 + n**5 - n**4 + 8*n**3 - 773*n**3 - 3964*n**2 + 78*n**3 + n**4 wrt n.\nAnswer: 360*n**3 + 60*n**2 - 4122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 25 = -5*z, d - 2*z + 5*z - 5 = 0. Sort 0, 2, 4, d.\nAnswer: 0, 2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 4:53 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-2)\/(-2)*285\/(-285))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/12 - ((-130)\/1092*-1057)\/2.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**4 - 264*t - 258*t - 3*t**2 - 2079 + 0*t**2 + 774*t - 254*t to d*t**4 + b + r*t**3 + s*t + x*t**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 17 - 185?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (99\/(-44))\/(6\/(-176)). Let s = h + -40. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 21 = 9*k. Sort 4, k, -3, -2 in descending order.\nAnswer: 4, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -62*i**2. Let k(n) = -569566*n. Give j(k(q)).\nAnswer: -20113136558072*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 2*t - 4 = 0, -5*z = -4*t + t. Let b be (-1 - z)\/((-18)\/45). Suppose 3*k = 3*y + 6, 0*k + 27 = 4*y + 3*k. Put 5, y, b in decreasing order.\nAnswer: 5, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -202250 (base 10) to base 12\nAnswer: -99062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = u + 2*m - 431, -2*u + 288 = 2*m. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 33 = -5*b + 12*y, -9 = -3*y. What is the smallest common multiple of 160 and b?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of i**6\/60 + 97*i**4\/4 + 236*i**3 + 760*i**2. What is the derivative of q(x) wrt x?\nAnswer: 6*x**2 + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -i - 2*i. Suppose -i*p + 24 = -1. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -4 + (6 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - 4 - -3 - (7 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o - 18. Let y be p(-19). Which is the third smallest value?  (a) -3\/4  (b) -2\/3  (c) -0.4  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3245, -3579, -4139, -4925?\n\"Answer: -113*p**2 + 5*p - 3137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 - u**2 + u + 93. Let f be b(0). Let a = f - 23. What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12\/(-4)*(-10)\/2. Solve -4*g - 5*x = -0*x - 9, -5*g - x = v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m + m**4 - 255 - 31 - 159 + 4 + 17*m**3 - 19*m**3 in the form y + s*m**3 + b*m**4 + u*m**2 + n*m and give y.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is (271 - 274)\/(3\/(-281791)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-27)\/(-27))\/((-1)\/1). Which is the nearest to i?  (a) -1\/4  (b) -2  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j + 4*j - j + 2*j + 0*j - j + (j - 3*j + j)*(0 + 1 + 1) - 3*j - j + 2*j + 2*j + 2*j - 5*j)*(-374*j - 342*j + 682*j).\nAnswer: 170*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of 59\/30*a**6 + 0*a**4 + 164*a + 0*a**3 + 0 + 0*a**5 + 104*a**2. What is the first derivative of o(l) wrt l?\nAnswer: 236*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.63313082 rounded to 4 dps?\nAnswer: -4.6331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 52266085.41 - 345805.41. Let m = g + -51920279.54000038. Let d = -0.46 + m. Round d to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -932*h - 461*h + 6975 = 932*h. Let b = 0 - 0. Solve b = -h*z + 11 - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.24 + 92124165785.\nAnswer: 92124165786.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1619226629 to the power of 1\/3, to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 350, 3\/5, 0.07 in decreasing order.\nAnswer: 350, 3\/5, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -6*l**3 + 3*l + 2. Let m be a(-1). Suppose -m*f + 504 = 2*q, 4*f = 2 + 14. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010222 (base 3) in base 12?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20991, -42077, -63163, -84249?\nAnswer: -105335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 16*o**2 + 23*o + 9. Let x(c) = -8*c**2 - 16*c - 4. Let u(g) = 3*p(g) + 5*x(g). Let n(r) = -r**2 + r - 1. Determine -6*n(v) - u(v).\nAnswer: -2*v**2 + 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -235 - -413. Let x = y - 51. Let n = x + -126.9999941. What is n rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(1331) - (sqrt(1331) - (3*sqrt(1331) + sqrt(1331) + 2)) - (-4 + sqrt(1331) + sqrt(1331)*-2))*3)**2.\nAnswer: 53460*sqrt(11) + 2698191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 475 rounded to the nearest 10?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16800 by 480.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, e: 7, n: 2, w: 7}. What is prob of sequence own?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4877, -9809, -14747, -19697, -24665?\nAnswer: -29657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1254962857?\nAnswer: 1254962857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 2*i - 20, 4*j - 19 = 4*i + 1. Which is the closest to 1\/5?  (a) -0.5  (b) -0.4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 8:15 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -114 + 22422313?\nAnswer: 22422144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1520 and 3856.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 + 4*o - 3. Let g(t) = t**2 + t - 1. Let h(y) = 3*g(y) - k(y). Determine s so that h(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/3  (b) -747  (c) -2  (d) -4  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10 + 110*b**4 - 25*b**3 - 15*b**3 - 85*b - 30*b**4 - 195*b**2.\nAnswer: 5*(b - 2)*(b + 1)*(4*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 3 = -s, 0 = s + s - 2*o + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-140))\/(9\/48) - 214\/350\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 4*v - 4 = 0, t - 16 = 6*t - v. Let s(k) = 3*k - 2. Let y(h) = -7*h + 5. Determine t*y(f) - 9*s(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -206, -7, 5, 1 in descending order.\nAnswer: 5, 1, -7, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3038 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.0712 in -4, 261, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5 in 3, 3\/11, 40?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 15, 11\/5, 30, -2\/9, 21?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ueee when four letters picked without replacement from uuuuuueeuuueuuueeuuu.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4010 divided by 2974\nAnswer: 2005\/1487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -118*x**2 + 69*x**2 - 1175*x**2 to r*x + p*x**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 37, 0, -0.4, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2 = -4*l. Suppose -2*w = -2, -5*w + l = 2*o - 5. Let v be 2 + (1 - o)\/3. Solve 0 = -v*y - b - 3 + 5, 0 = 3*b - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 166483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.3 - 0.7. Let h = 1135 + -41999\/37. Let d = h - -57\/185. What is the smallest value in r, d, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24715781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -506 = 4*p - 614. Is 132\/5 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = 3*c - 5*j, 5*j + 11 + 49 = 2*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -248*g**2. Let r(q) = 5*q + 7. Calculate o(r(b)).\nAnswer: -6200*b**2 - 17360*b - 12152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -505571.\nAnswer: -151671.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of -y**6\/10 - y**5\/5 - y**4\/12 + 12*y. Solve l(i) = 0 for i.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(4*5*((sqrt(72)*-3 - sqrt(72)) + 1 - (sqrt(72)*2 + 2))*-5)**2.\nAnswer: -25930000 - 720000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25 - 49. Let h = 22 + r. Which is the smallest value?  (a) 2  (b) h  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -231 - 224 - 222 - 258 - 3*w + 2*w + 935.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 57538 and 546?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + -1.9. Let u = 0.48 - 0.08. Which is the smallest value?  (a) -0.1  (b) u  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -36, -57, -64, -51, -12, 59, 168?\n\"Answer: d**3 + d**2 - 31*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5618 is divided by 1107?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1224 divided by 167.\nAnswer: -1224\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 2 + 4 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (2 - -17) + (153 - 163)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 58116 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 7, m: 9}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence naia when four letters picked without replacement from ainbiibbanaaaiani?\nAnswer: 15\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*((-32)\/(-15) - 2). Let r = -6.3 + -0.2. Let c = r - -7. Put -2, h, c in increasing order.\nAnswer: -2, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10742013 is divided by 995?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7064208941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-78)\/(-19) - (-82)\/(-779). Let o be (-52)\/16 - -3 - -3. Let -7\/2*i**2 - o*i**3 + 0 - 5\/8*i**q - i = 0. What is i?\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116 - 2865 = -91*t - 160 + 4782 for t.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w + 5*w + 35 - 5*w - 35. Let d(c) = -c - 2. Give d(q(t)).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 79 divided by -4\nAnswer: -79\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/194343678 and -17\/86374968?\nAnswer: 777374712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*c**3*d**2*v**3 + 122*c**3*d**2*v + 141*c**2*d**2 - 2*c**2*v + 3*c*v**3 + 4*d**2 wrt c.\nAnswer: 18*d**2*v**3 + 732*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 114*q - 402 - 1744. Calculate the highest common divisor of 12426 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005647362 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 94218.0149226 + -94218. Let c = -0.0149 + x. Round c to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8804 is divided by 238?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 - 9*s**2 - 24*s + 17. Let l be h(13). Suppose -3*z = -2*i + l, -8*i + 2*z = -5*i - 569. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 520980 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/6860 and -67\/196.\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 61688 divided by -4?\nAnswer: -15422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 78, -0.3, -2 in decreasing order.\nAnswer: 78, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 0*p = 3*p + 24, -5*p - 15 = 0. Let w be (-1 + (1 - 1))\/3. Put 0.2, b, w in decreasing order.\nAnswer: 0.2, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34*((6\/7)\/3)\/(10356\/6041)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-3)\/((w\/w**(-3\/8))\/w)*(w**(2\/7))**41 assuming w is positive.\nAnswer: w**(467\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -7*p + 9*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14934 and 94582?\nAnswer: 283746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 618023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 4*g = 3*g. Suppose -14*d = -g - 70. Solve -7*z = -2*z + d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 577 divide 2719702771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 78 + 22. Let a be (2 - -18)*(-7)\/(-2). Let o = h + a. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 41*b**2 + 2*b - 1. List the prime factors of c(1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of 7*j**5\/15 - j**4\/8 + j**3\/2 + 20*j**2. What is the units digit of r(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5958 (base 14) to base 13\nAnswer: 7111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 68144.58 take away 0.1?\nAnswer: 68144.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2181190681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -580*s + 350*s + 37*s**4 - 39*s**4 - 614*s + 938*s**2 wrt s?\nAnswer: -24*s**2 + 1876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -705 - -727. Suppose -w*f = 21*f - 129. Let g(i) = 1. Let d(p) = 6*p - 3. Give f*g(v) + d(v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11111110 + 110100?\nAnswer: -11001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*a**3*m**3 - 479*a**3*m - 16*a**3 + 7*a**2*m**3 + 2*a**2*m + 6847*m wrt a.\nAnswer: 108*m**3 - 2874*m - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y = 7*y - 0*y - y - 3*v - 21, -25 = -v - 4*v for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1304882669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes after 9:12 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13038963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of 2*p**4\/3 + 3*p**3\/2 + 3*p**2. Let j be c(3). Suppose 5*o - j = -4*l + 27, o = 3*l + 32. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19078*n - 19123*n + 38742*n.\nAnswer: 541*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-3)\/26)\/1*-1. Are 1 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2 - 511702*t + 1023412.\nAnswer: -2*(t - 2)*(t + 255853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(5*(-4)\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -151*g - 120. Let r(f) = -6*f - 1. Let t(i) = -4*r(i) + u(i). Differentiate t(l) wrt l.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -38 + 54. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(57)\/(sqrt(3) - (sqrt(3) + sqrt(75) + sqrt(3))) - (2 + sqrt(475))) + 0 + 4)**2.\nAnswer: -62*sqrt(19)\/3 + 18403\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*q + 88 = -27*q. Let z = 11 + q. Let s = z + 1. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 + (-35)\/15)\/(-2)*-135. Suppose 7*d - c = -5*o + 2*d, 3*o = 2*d + 7. Solve 0*f - 2*j = -f + 11, -o*f + 20 = -3*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3043 - 220?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 11\/5  (b) -2  (c) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of 0 + 10*i - 1\/2*i**2 + 1\/6*i**3. Let r(y) be the third derivative of y**4\/3 - 7*y**3\/6 - 15*y**2. Determine r(f) - 6*w(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25707\/124 - -829\/4. Sort 0.5, g, -2\/59 in ascending order.\nAnswer: g, -2\/59, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -482*n - 22 = -471*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3549, -9.\nAnswer: -9, -3, 3549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b + 12 - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 76*o - 47. What are the prime factors of u(9)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2763 or 2757?\nAnswer: 2763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.588608 + 51.804908. Let o = x + 374.2207. Let i = o + -426. Round i to 2 dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/9 - 21662*t\/3 - 454804\/9.\nAnswer: -2*(t + 7)*(t + 32486)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43 - 53. Let a be (i\/6 + 2)*(48 + -135). Is a < -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 244 = -7*q - 45*q. Let s(g) be the first derivative of 13*g**2\/2 + 18*g + 1. What is the units digit of s(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-12)*(-4 + 34)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + k**2 + 3*k - 2. Let d be (-1)\/(-6)*-2*-6. Let b be q(d). Suppose -2*g + 2*m + 148 = -b*m, -g + 2*m = -69. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 53 + 77. Suppose 0 = 5*d - 4*h - t, -3*d + 5*h + 5 + 8 = 0. Solve -g = 5*j - d*g - 15, j - 5*g - 19 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -7. Suppose q*v = 2*v + 2. Let n = 10 + v. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11\/4 - -3. Suppose 2*v - 3*p - 9 - 4 = 0, 4*v + p = -9. What is the nearest to v in 2\/7, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -201 + 200. Is m > 265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001137 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1\/2))**(-42)*(v\/(v\/(v**(2\/5)*v)*v*v))**(4\/5))**(-13) assuming v is positive.\nAnswer: v**(-6669\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2046*h**4 + 488?\nAnswer: 8184*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5058 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -35, -49, 6, -24, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h + 3. Suppose 5*m = 2*g + 12 + 1, -5*m - 2*g = -17. Let k be z(m). What is the greatest common factor of 45 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -74 - 74 + 5846*a**2 - 5845*a**2 + 7*a + 26*a.\nAnswer: (a - 4)*(a + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 117 - 102. Suppose y*l - 9503787 + 698787 = 0. What is l rounded to the nearest 10000?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2634329?\nAnswer: 337, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 2*y = -100 - 144, 3*z = -2*y + 183. Let f = -6 + z. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 0 + 183\/5*f**3 + 6\/5*f - 189\/5*f**2 = 0.\nAnswer: 0, 2\/61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 11:44 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -276\/5 at most as big as -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g + 11. Let s be c(9). Suppose -4*i = -s*i. Calculate the lowest common multiple of 2 and (7 + i)*6\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38340?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-60)\/(-16)*-50*(-8)\/12. Let t = o + -373\/3. What is the closest to -1\/3 in t, 4, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, g: 1, v: 1, i: 2, f: 5, w: 8}. What is prob of picking 1 f and 1 g?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 728 and 103291916.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 110 = 58. Find the common denominator of -4 - (-170)\/g - 0 and 55\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u\/u**(1\/6)*u)\/u)**(-14\/11))**(14\/3) assuming u is positive.\nAnswer: u**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -106*n**3 + 1552*n**2 - 9*n - 3. Let h(k) = 108*k**3 - 1551*k**2 + 12*k + 4. Let p(z) = -3*h(z) - 4*o(z). What is the third derivative of p(m) wrt m?\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 564 by -6.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131*s - 307*s = 0. Solve s = 30*p - 36 - 144 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9072 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-125 - -128 - (6 + 1 + -2)) + 13\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 - 3*l**2 - 4*l + 8. Let i be u(7). Find the common denominator of -43\/4 and i\/(-4)*2\/80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -3*h + 2. Solve h = -2*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 6 + 3*q**3 - 1.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 - 5*k**2 - 2*k + 3. Give n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6747.97mg in tonnes?\nAnswer: 0.00000674797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1123155, 2246307, 3369459, 4492611, 5615763?\n\"Answer: 1123152*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16065\/(-5049))\/(3\/(-33))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9360 - -9360.00014527. What is r rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109.62831 rounded to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u**3 - 16*u**2 + 148*u**2 - 199*u**2.\nAnswer: 4*u**3 - 67*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*o + 368359 - 368293 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 21 in 0.5, -27.2, -0.04, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 570 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2315 + -2522.9. Let o = i + 208. Sort o, 16, 0.4.\nAnswer: o, 0.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117208733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (77\/(-385))\/(12\/(-10))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -13743 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (56\/14)\/((4\/(-56))\/((-4)\/((-280)\/(-7))))?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 9*q**2 - 26*q + 39. Give c(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36748 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*j**2*r**3 - 3*j**2*r**2 + 1009280*j**2*r + 16*j + 2450317*r**3 wrt j.\nAnswer: 4*r**3 - 6*r**2 + 2018560*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 123331320?\nAnswer: -123331323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2762 divided by 7\nAnswer: 2762\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2 + 0*h + 5*h - 3*h. Calculate x(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 12. Let u = 2 - m. What is the second derivative of 4*y + y**3 + 4*y**3 + 3*y**u wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -56 - -78. Let y(a) = -2*a - 6. Suppose 2*t = 3 - 15. What is the remainder when n is divided by y(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + 1001101?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = a - 3*b + 27, -3*a - 4*b - 13 = 0. Let u = 4 + a. Suppose -2 = -4*y - 10. Sort u, y, 0 in increasing order.\nAnswer: u, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/((-63)\/(-6)) - 494\/(-182).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 + 7 = -2*h - f, 2*h + 5*f + 48 = 0. Let s = 4 - h. Suppose s = 2*o - o. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 + (-66)\/15)*-5. Suppose -3*k - j*k = -30. Suppose 3*z - k = t + 9, -2 = 2*t + z. Put 2, t, -5 in ascending order.\nAnswer: -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9.1 + 0.1. Let f = -9.85 + 10.1. Let s = 0.05 - f. What is the nearest to -1 in 5, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.795273 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-3) + 1 + 13486\/1839\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -9*k - 5. Let h(s) = -1. Determine 6*h(y) - m(y).\nAnswer: 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*z = -61*z + 36*z - 323 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*h = 6 + 34 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1252 + 33800\/27. What is the common denominator of (21 - 8041\/255) + -2*(-1)\/6 and g?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvqvvuqnvqqvqnqqvqqq. Give prob of picking 2 n.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40 + -36. Suppose -l - 11 = v*x, 0 = 5*x - 3*l + l + 30. Let h(s) = -s - 1. Give h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of 0*a**6 + 10*a + 23\/12*a**4 + 0*a**5 + 0*a**2 + 1\/42*a**7 + 0 + 0*a**3. Find the third derivative of k(j) wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.228 - 1.128. Suppose 4*u + 15 = -u - 4*l, -5*u + 5*l + 30 = 0. Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/6 - (-3)\/9. Suppose -i = -5 + o. What is the third derivative of -9*x**6 - i*x**2 + 0*x**2 + 11*x**6 wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/6 and 59\/394.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes after 7:17 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 944 a factor of 5662432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3353 divided by -4?\nAnswer: -3353\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 27 - 30 - (4 + 1)\/(-1). Let m be (-3 + n - 5)\/(-2). Solve w + m*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-8)*(-46)\/99. Let w = l - -5\/99. Do 1 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, d: 1}. What is prob of picking 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 143 = -4*b - 116, 2*x + 6 = 4*b. Let n(i) = -10*i - 3. Let z(y) = -11*y - 4. Let d(h) = -6*n(h) + 5*z(h). What is d(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*o - 13. Let p be (1\/(5\/85))\/(o\/(-3)). Calculate the remainder when 21 is divided by (34\/p)\/(4\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ghhrrhrrrkhgklrkkar. Give prob of sequence rhk.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 112*x + 148*x - 780. Find u, given that -280\/11*u - 374*u**x + 16\/11 + 242*u**4 + 156*u**2 = 0.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1306733553*s**3 + 481895357.\nAnswer: -3920200659*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n**3 + 14247*n - 14247*n.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of -h**4\/12 - 4*h**3\/3 - 2*h**2. Let d be x(-6). Solve -p - 1 = -2*w, -6*w - 14 = -d*p - 4*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 PM and 4:41 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.92 - -1.45. Let m = s - 0.13. Sort -3, m, 5, -2.\nAnswer: -3, -2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7164820717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 - -49. Let q be (-4)\/b + (-3921)\/(-45). What is q rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -3. Let d = n - 4. Is ((-22)\/d + -3)*194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.51 rounded to zero dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44 and 2563.\nAnswer: 10252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 53.8?  (a) 2\/17  (b) 1.6  (c) 6.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 + -23. Let x = -206 - -203.02. Let f = x + -0.02. Which is smaller: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 + 9*h + 505. Let s be t(0). Let f = 1068 - s. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1160\/160 + 2 + (-9)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -85*75\/((-4500)\/32) + (-16)\/12?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 676039582?\nAnswer: 2, 59, 109, 52561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.099 + -1449.436621.\nAnswer: -1448.337621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -424723.7 - 1650?\nAnswer: -426373.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of y**3\/3 - y**2 - 2*y - 4. Let r be o(2). Put r, -3, 4 in decreasing order.\nAnswer: 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 56 - 24 = 0. Let g be j*((-1)\/(-2) - 5). Solve 0 = 4*h - 16 + g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/149 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 30 = 5*y. Suppose 2*r + 2*d - 5 - 5 = 0, -y*d = 20. Calculate the greatest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 12*b**2 + b - 1. Let i be g(1). Suppose -i*y + 70 = -2*y. Solve -a + y = 2*n + n, 20 = 5*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 251801386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2*y**2. Let k(u) = -3*u**2 - 5. Let f(p) = 2*p**2 + 3. Let z(j) = -5*f(j) - 3*k(j). Calculate z(b(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -114.66307 to one dp.\nAnswer: -114.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.624 - 0.524. Which is the third biggest value?  (a) -0.5  (b) -5  (c) l  (d) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119 + 109 = 2*n. Which is the nearest to 0?  (a) n  (b) -5\/3  (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -3*v + 179, 0 = 5*y - y - 4*v - 748. Let q = y + -161. What is the second biggest value in q, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -2  (b) 0.1  (c) -5  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 809589*u**4 + 6996598*u wrt u?\nAnswer: 9715068*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 11212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2649*w - 2390*w = -518. Let m be ((-6)\/(-4))\/((-9)\/4). What is the closest to m in -0.5, w, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 + 68*c - 191. Let u(r) = -2*r**3 - 11*r**2 + 17*r + 17. Let i be u(-7). Is 65 a factor of v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of a**6\/150 - 23*a**5\/100 + 16*a**4\/5 - 344*a**3\/15 + 448*a**2\/5 + 77*a + 3. Factor h(f).\nAnswer: (f - 8)*(f - 7)*(f - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 times -207901\nAnswer: 2079010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of -y**7\/315 + y**6\/36 - 4*y**5\/45 + y**4\/9 - 242*y**2. Factor i(w).\nAnswer: -2*w*(w - 2)**2*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13897 - 13874. Solve -27*d = -a*d + g - 21, 4*d = -5*g + 41 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 9 + 70\/4 - (-30)\/(-100)*-5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (17 - 8 - 6) + 4 + 6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 9:55 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -6. Suppose 15*x - 15 = 10*x. Solve x = f + 4*u, 0 = -n*u + u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 178 divided by -2\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 599477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (144\/(-208))\/((-9)\/18*12).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n + 1. Let x(t) = -136*t - 4. Suppose -5*d = -4*d - 4. Let f(v) = d*a(v) - 2*x(v). Let h be f(-9). Round h to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**3 - l. Let n be t(1). Suppose n = -j - 0*j. Is 27 a factor of 119 + j + 2 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 5*o + 101, -5*l = -3*o + 291 - 54. Calculate the smallest common multiple of 32 and (55\/33)\/((-4)\/l).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 273 and 1585647?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -6 - (-13)\/((1326\/(-48))\/(-13)). Which is the fifth biggest value?  (a) 5  (b) -2.1  (c) -0.3  (d) 2\/5  (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9\/(3\/9 - 0). Let i(w) = 39 - 6*w - 40 + r*w. List the prime factors of i(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 - 73 = -2*d + 5*n, 2*d + 4*n = 14. Let a = 10 - d. Is -1 - (0 + (a - 2)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 893.8997 millennia to centuries.\nAnswer: 8938.997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -6*r. Let m(o) = -1046*o. What is a(m(w))?\nAnswer: 6276*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 977022, 1954046, 2931070, 3908094, 4885118, 5862142?\nAnswer: 6839166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (148\/259)\/(164\/1435)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1\/3, 5.8, -1 in ascending order.\nAnswer: -5, -1, 1\/3, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -329\/2504 - -2\/313. Let f = -11 - -6. Let y(r) = -r - 6. Let g be y(f). Is s smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 0 = p, -1360 = -3*n - 5*p. Let h = n - 436. Calculate the smallest common multiple of 10 and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i - 10. Let m(j) = -19. Let u(k) = 2*b(k) - m(k). Let f(v) = -v - 1. Suppose -5*r - 25 = 5*d, -4*d = -4*r - d - 13. What is r*f(a) - u(a)?\nAnswer: 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 168*u**2 - 477*u - 2992. Calculate s(165).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 + x + 10. Suppose 36 = 2*q - 3*w, -w + 81 - 78 = q. What is a(q)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a**3 + 40*a**2 + 13*a + 242. Give l(-20).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -16*h - 6*h. Let j(s) be the second derivative of -5*s - 8\/5*s**2 + 16\/15*s**3 + 1\/3*s**4 + h. Let j(a) = 0. What is a?\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -528\nAnswer: -1\/528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -18*t + 104. Suppose -f = 3*j - 628, -j - 4*j = -t*f + 3180. List the prime factors of f.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(-8))\/((-23)\/(-92))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7136 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -235 + 178 = 19*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 31122144 to the power of 1\/2, to the nearest integer?\nAnswer: 5579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z**(3\/4)\/z))\/z**(-3\/4))\/(z**(-2)*z)**(1\/59))**(-20\/9) assuming z is positive.\nAnswer: z**(-2380\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 107\/3 - 37. Let y = 0.27 - 5.25. Let k = -0.02 + y. Which is the closest to -1\/2?  (a) 2\/7  (b) q  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178, 351, 524, 697?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of 4*h**3\/3 + 3. Let s be 3*(-5)\/((-30)\/4). Let l(u) = s*u + 8 - 8 - u. Calculate b(l(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 32 + 151?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 0. Let c = o + -1. Let y be c\/(-1) + -3 + 2. Are y and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 412 + 114421333?\nAnswer: 114422300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 80\/(-30)*7\/((-910)\/15)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 3*v**2 - 7*v - 5. Let g be c(-2). Let y = -4 + 7. What is the greatest common factor of g and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -431\/3 or -25?\nAnswer: -431\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76144724.\nAnswer: 2, 19036181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 63 - 110. Let g = h - -49. Suppose g = m - 0*m. Solve 3*y - 24 = -m*l + 1, -25 = -y - 4*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 46838703 - 3?\nAnswer: 46838700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 3*z - 1 = 0. Let w be 6\/(0 - -2) - z. Solve -4*p = 20 - w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 4 + (0 - 2 + 1)*(-5 + 1 + 2) + 18 + 30 - 17)*(s + 0*s + 2*s)*(-5*s**2 - 3*s**2 + 5*s**2).\nAnswer: -315*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27 by 107462.\nAnswer: -27\/107462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8.84 + -8.94. Put -2\/11, 1\/6, m, -4 in decreasing order.\nAnswer: 1\/6, m, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 6429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-1 + 0 + -4 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/(-20))\/((30\/(-8))\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does -3375 = -64127\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 9535, 8833, 6935, 3247, -2825, -11875, -24497, -41285?\n\"Answer: -99*y**3 - 4*y**2 + 3*y + 9635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -3 - 3. Let a(z) be the first derivative of 0*z - 1\/5*z**2 - 2 - 1\/10*z**4 + 4\/15*z**i. Factor a(p).\nAnswer: -2*p*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the first derivative of g**4\/42 + 4*g**3\/21 - g**2\/21 - 20*g\/7 + 190. Let y(n) = 0. Calculate n.\nAnswer: -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 + 37. Let p be 2\/4*(11 - -11). Suppose 4*o - 75 = -p. Calculate the least common multiple of d and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 - -0.1. Suppose -15*g - 306 - 129 = 0. Let x(n) = -15*n - 439. Let k be x(g). Which is the nearest to -2?  (a) 2\/19  (b) k  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*o + 57*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -96*n - 1921. Let t be y(-20). Put t, -9, 129 in decreasing order.\nAnswer: 129, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52\/(-182)*(-28)\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*-2*(-11)\/11. Let r(t) = 0*t**2 + t**3 - 2 + 44 + 2*t**2 + 0*t**a. What is the tens digit of r(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 723224 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*o + 5*o - 3*o + (-4 + 4 + o)*(-4 + 3 - 2) + 0*o + 4*o - o in the form m + w*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4296.083ml?\nAnswer: 4.296083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 10:06 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -114.8.\nAnswer: -22.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 95 + -81. Calculate the greatest common factor of 98 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7058*x + 95 = -7039*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 7) to base 6.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43930 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - (-3 - (73 + 0)). What is the highest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -3, 40, -2\/19, 247?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3433, 3347, -253, -7367, -17995, -32137, -49793?\n\"Answer: -1757*m**2 + 5185*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13376*d + 0*i = -13377*d + 5*i + 16, 7*d = 5*i + 82 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 2*s**2\/23 + 31702*s\/23 + 791300\/23 = 0.\nAnswer: -15826, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 - 22*z**2 + 138*z + 92. Calculate s(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 + 8. Sort l, -1, -2\/5, 2\/7 in descending order.\nAnswer: 2\/7, -2\/5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vlv when three letters picked without replacement from lvvvvvvlvv?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**4 - 148040*w**3 + 2738147516*w**2 + 49322634840*w + 222005830482.\nAnswer: 2*(w - 37019)**2*(w + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, 139, 10, 48 in descending order.\nAnswer: 139, 48, 10, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -213251552 - -2?\nAnswer: -213251550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5*d + 66. Let a(x) = 3*x**3 + 3*x**2 - 6. Let z be a(-2). Let i be q(z). Which is smaller: i or -22?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 - 14*y**2 - 14*y - 14. Calculate m(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 3. Let h = -2 + x. Let v(j) = -j**2 + 4. Let l(k) = -k**2 + 1. Let z(o) = 3*l(o) - v(o). Calculate z(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/6 + 1\/(-21) + 137375\/(-346185)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11313 + 11?\nAnswer: -11302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25370905?\nAnswer: 5, 7, 347, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -26664?\nAnswer: 1\/8888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -639 + 1186. What are the prime factors of z?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1072580 plus 11?\nAnswer: -1072569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g. Let w(z) = -z + 1. Determine 4*o(j) - 5*w(j).\nAnswer: -3*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 - -27) + (-9 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 1 - (-5 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -30*u - 8. Let a be m(-1). Calculate the remainder when 22 is divided by (-10)\/30 + a\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 3, -6\/13, -3\/4?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 3:59 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-4*1*sqrt(847) - ((4*(sqrt(448) - -1*sqrt(448)) + sqrt(448))**2 + 1).\nAnswer: -36289 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 3:24 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 14, 8, -9590, -2.\nAnswer: -9590, -2, 1, 4, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35.4 + 35. Let j = 20.1 - o. What is j rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 - 13*z - 4. Let y be h(-12). Suppose -y = -4*d + 16. Are 5 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -1.3. Let u = -0.42 + -0.08. Let g = 0.02 + -3.02. Which is the nearest to q?  (a) u  (b) g  (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/(-6) + (-3 + -24)\/81?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*q - 42 - 518. Suppose 4*o - 39 + q = -c, 3*c = -5*o + 20. Solve 12*i = o*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158345.\nAnswer: 5, 11, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.19 + 0.81. Let y = 3688 + -3598. Sort 1\/4, y, -2\/7, q.\nAnswer: -2\/7, 1\/4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 7*h**3 - 5*h**2 - 2*h - 1. Is f(4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 5*n - 38. Is b(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67169.3mm in centimeters?\nAnswer: 6716.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaucuccaccca. Give prob of sequence aau.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 AM and 11:37 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(192)*-1 + -3 - 1*sqrt(192)*-5) + 1*(-1 + sqrt(192) + 1 + sqrt(192)))*-3)**2.\nAnswer: -373734 + 15552*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d. Let i(y) = 13*y - 5*y + y. Calculate f(i(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-20) - 54\/20.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-39)\/(-7))\/(474\/(-1106)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 31*a - 140. Let b be m(32). What is the highest common divisor of 36 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 592779572 and 7062?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2459 = -3*d + 1481, 5254 = 4*d + 5*i. Calculate the highest common factor of d and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3327.72522251 take away 121?\nAnswer: -3448.72522251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of -3*w**2\/2 - 21*w - 10. Let b be o(-7). Suppose -3*h + h + 4 = b. Solve h*m - 1 = q - 7, -4*q = -2*m - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58214136 is divided by 96381.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -35*d + 39*d + 20, 20*t - 120 = 5*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 2 - x)*(x + 4*x - x)*(1 + 2*x - 1).\nAnswer: -8*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n - 24 = -4*v, 61 = 4*n - 3*v + 79 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34644 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 - 12*z - 26. Suppose -2*m + 57*h = 55*h + 16, h = 2. Give v(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = w - 8. Suppose -3*d = -33 + 105. Let b = -16 - d. What is the remainder when w is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 109, 336, 779, 1510, 2601, 4124?\nAnswer: 6151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001272236 to 5 dps.\nAnswer: -0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13.97 - -14. Let z = 0.37 + -0.5. Let j = t + z. What is the second smallest value in -1\/3, -5, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5548 divided by 4.\nAnswer: -1387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/8740 and 61\/138?\nAnswer: 26220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 49\/5 of a millennium?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/2))**(-4\/3)*(z**(-7))**47)**(-7\/2) assuming z is positive.\nAnswer: z**(6895\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 24*c**3 - 34*c**2 + 3*c + 8. Is o(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*n + n**2 - 19*n + 8 - 3*n**2 in the form i + f*n**2 + s*n and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 500023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 6 = z. Suppose 0 = -3*o + 15 - 0, z*a - 25 = -3*o. Solve -a*i + 2 + 2 = 4*s, -3*i = 4*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 23 - 68 = 0. Let k = v + 2. Let j = -205 - -341. Calculate the highest common divisor of j and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*f - 33*f = -5592. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*((22 - 11) + -10). Suppose 0 = 3*l - b - 9, 0 = 3*l - 0*b - 2*b - 9. Let q be 1\/2 - 19\/(-2). Solve 2*f = 2*t + 3*f - q, -d*t - l*f = -21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 take away -1550?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 0.1  (c) 1.5  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2900 is divided by 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.62618 to three decimal places.\nAnswer: 1.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 131242112 by 8202632.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, q: 2, g: 2, t: 4, o: 3}. What is prob of picking 1 g, 1 s, 1 q, and 1 t?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/r**(3\/7)*r\/(r\/r**(2\/35)) assuming r is positive.\nAnswer: r**(22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 - 1. List the prime factors of r(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 10*j**4 + 89*j**3 + 5*j**2 + 2*j - 4401. Let v(f) = f**4 + 5*f**3 + f**2 + 1. Let n(i) = u(i) - 5*v(i). Find the first derivative of n(s) wrt s.\nAnswer: 20*s**3 + 192*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9 - 672?\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30396 is divided by 15197.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 143849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 12*a - 653. What is d(50)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1 and 862?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + -3. Let r(f) = -7*f - 5. Calculate the remainder when r(-5) is divided by (-147)\/(-9) + 2\/y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 - 9*s**2 - 12*s + 13. Suppose -2*p = 3341 - 3327. Calculate w(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -4*f - 32, -2*f = -5*f + 5*v + 11. Let j be 3\/4 + 142\/(-8)*f. Suppose 4*a = -5*a + j. What is the remainder when 17 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 423792323?\nAnswer: 423792323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 4*p - 5*p)*((2 - 5 + 4)*(2 - 3 + 2) + 2 - 4 + 1 + 5 - 1 - 3)*(342 + 291 - 172).\nAnswer: -922*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 139*f**2 + 15*f - 151*f**2 - 420*f**2.\nAnswer: -710*f**2 + 15*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/22 and -91\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zmzqq. What is prob of picking 1 z, 1 q, and 1 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 7\/10*k**3 - 8\/5*k + 2\/5 + 1\/2*k**2 = 0?\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 546139021 a multiple of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1100*f - 17 = 1095*f + 3*s, 6*f - 18 = 3*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of 1\/4*s**4 + 7*s**2 - 10\/3*s**3 - 8*s + 8. List the prime factors of c(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -2. Suppose -d + 6*d - 885 = m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/150127 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10111?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 66*j**2 - 560*j + 36904. Give i(66).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/701 or 25\/232?\nAnswer: 2\/701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17542771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -99*y + 45. Let g(j) = 9*j - 4. Calculate 45*g(k) + 4*x(k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3693858)\/444*((-19)\/7 - -1). Round t to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w + 3*w + 17*w**2 - 5*w + 3*w**2 + 20*w**2.\nAnswer: 40*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1621344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*d**4 + 550*d**3 - 2*d**2 - 55832*d wrt d.\nAnswer: 108*d**2 + 3300*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1500388826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -274190*s**2 + 11*s + 9196110 with respect to s.\nAnswer: -548380*s + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + (4 - -12) - (6 + 3 + 9 + -24).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93775.59ug to nanograms.\nAnswer: 93775590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + -7. Let g be (-2)\/3*(f + 2). Suppose g*l + 29 = o, -5*l = 4*o - 0 - 53. Calculate the remainder when 32 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {z: 8, v: 2, e: 2}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence let when three letters picked without replacement from {s: 1, t: 2, l: 1, e: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5 + (-1)\/(1\/(-49)). Suppose 8 = -k*n + 48*n. Calculate the smallest common multiple of n and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110110 (base 6) to base 4\nAnswer: -2032122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -0*h - 2*n - 54, -h - 4 = -4*n. Let u be h\/40 + (-11200002)\/5. Round u to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -38.24, -4, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 399408 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*f**2 + 17 - 5 - 9)*(3*f**3 - 5*f**3 + 0*f**3).\nAnswer: -10*f**5 - 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 429466, 428842, 428218, 427594?\n\"Answer: -624*a + 430090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 4*w + 16 = 0, -2*r - 19 = -6*r - w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3946958.\nAnswer: 2, 17, 29, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 29.191177 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together 117 and 29522770.55787.\nAnswer: 29522887.55787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(-14) - 6\/(-21). Let c(w) be the second derivative of 1\/20*w**5 + 0 - l*w**2 + 2*w + 1\/6*w**4 + 1\/3*w**3. Calculate c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174 is divided by 137?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2529\/83620 + -2\/565. Let n = v + 137\/222. Calculate the common denominator of n and -19\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 3. What is the second derivative of l*j + 5*j - j + 3*j**5 wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 6:17 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 18680500, 37361009, 56041518, 74722027, 93402536, 112083045?\n\"Answer: 18680509*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -595 + 1010. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4857689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1502552912 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 63*l**2 - 188*l**2 - 11*l**2 + 791*l**2 - 108*l**2 as b + w*l + p*l**2 and give p.\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2)\/(-20) + 15806\/140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27860 is divided by 488.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -661*r**3 + r**2 - 24*r - 24. Give p(-1).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**3 - 4*l + 4*l)*(-5*l + 0*l + 4*l) + 4*l**4 + 0*l**2 + 0*l**2 - 8*l**4 - 7*l**4 + 14*l**4.\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*n + 253351 = 386*n + 1817*n for n.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 900 - 477 - 95*k**3 - 26*k**3 - 536 wrt k.\nAnswer: -363*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2014 and 0.0332?\nAnswer: -66.8648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -59 divided by -59\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.284 - -5.584. Which is the second biggest value?  (a) -4\/5  (b) -2  (c) -4  (d) -4\/9  (e) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9945.\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1701 and 304561?\nAnswer: 306262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 230*f = 225*f - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -f**4\/6 + 46*f**3\/3 - 962*f**2\/3 - 1472*f - 1536 = 0. What is f?\nAnswer: -2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -17*w**2 - 15*w - 33. Let f(g) = 22*g**2 + 16*g + 37. Let v(s) = -4*f(s) - 5*m(s). What is v(7)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) 0  (b) 2  (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 813 = 5*n - 2007. Let x be (10\/15)\/((-2)\/(-6423)). Suppose x = 5*g - n. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46899?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 37*o - 135. Give i(22).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 4*a - 603, 0*s = -s + 2*a + 115. Let w = s + -71. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85077 is divided by 44.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 559 - 553. Solve 3*j - 3 = v*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggnn when four letters picked without replacement from {n: 3, g: 7, y: 4}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -3*u + 3 - 22, 0 = u + 3. Let q(o) = 3*o + 3 - 12 + 8*o. What is the remainder when q(6) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 825\/55 + -9 - (2\/(-5))\/(26\/(-9620))?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -610\/9, 14, 4, 2.8 in descending order.\nAnswer: 14, 4, 2.8, -610\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 323*k**2 - 6*k + 5. Does 14 divide w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -3, 3\/2299, -2\/7, 2\/5.\nAnswer: -5, -3, -2\/7, 0, 3\/2299, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 7) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10180 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: What is the closest to -11829 in -0.2, 48.891, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -15*z**3 + z**2 - z - 1. Let f be d(-1). Let n = f + -22. Which is the third biggest value?  (a) 0.2  (b) n  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -6*n**3 - 3*n**2 + 6*n - 8. Let f be b(-6). Let m be f\/21 + (-24)\/18. Let v = 53 - m. Sort 0, 2, v in descending order.\nAnswer: 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6951 is divided by 313.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -38.01 + 38. Let s = 4\/591 - -1154\/4137. Which is the second smallest value?  (a) s  (b) 4  (c) q  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 7*u = 18. Let g be ((-7)\/3)\/(-2 - (-30)\/u). Suppose 0*q = -g*q. Solve 4*m + q = 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30815561, 61631119, 92446677, 123262235, 154077793?\nAnswer: 184893351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 513\/(1224\/2176*-16)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1394 - 26096?\nAnswer: -2744a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in seven sixteenths of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24*a*k**2 + a*k*u - 7*a*u - 18*k**2*u + k*u wrt k?\nAnswer: 48*a - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95076 is divided by 6790.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -16*t + 70. Let y be i(4). Let k(z) = -2*z - 6 + 6*z - 3*z. Let d be k(y). Solve d*f = 4*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(20)*1 - (sqrt(10)\/sqrt(2) + -3)) + (sqrt(640)*-4)\/sqrt(8) + -5))**2.\nAnswer: 960*sqrt(5) + 18064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 157727957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -7637?\nAnswer: 1\/7637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 5:59 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 23?  (a) -1  (b) -5  (c) 0.5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -177  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 68 + 280 = 0. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xyyexyywwvyyvyygg. Give prob of sequence ew.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + -2*(-21)\/(-24). Let j = -17.5 + 17. Put -3\/5, j, d in ascending order.\nAnswer: d, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2  (b) 14  (c) -1  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51692849 is divided by 7384683.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = k + 6, -9*k + 3*w - 20 - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, v: 6, b: 8}. What is prob of sequence bbv?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*l + 0*l - 55 = -5*r + 11*l, 6*r + l - 46 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 5*u**3 + 109*u**2 - 18*u + 90. Let w be p(-22). Sort -57, -2, w, 3.\nAnswer: -57, -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/g**(-24)*(g\/(g*(g*g**1)\/g)*g)\/g assuming g is positive.\nAnswer: g**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of -5\/6*g**3 + 0 - 7*g + 1\/60*g**5 - 5\/2*g**2 + 1\/6*g**4. Let b(m) be the first derivative of z(m). Calculate b(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 402480 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 41086362 or 41086365?\nAnswer: 41086365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -27. Let g be ((-4)\/5)\/(4\/q). Solve -8 = 2*p - y + 3*y, -g*p = -4*y + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1373 divided by -1\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32 + 75. Suppose 37 = -2*q + m. Suppose -q*c + 2 = 3*x - 10, 0 = 4*c. Solve -r = 4*t + 24, 12 - 1 = t - x*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jakkxj. What is prob of picking 1 x, 1 j, and 2 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 14) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 2:24 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of 2*d**4\/3 - 2*d**3 - 31*d**2\/2 - d. Is c(-10) 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 1114458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3*g - 1. Let r(o) = 1 - 61*o - 59*o + 119*o. What is -c(k) + r(k)?\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4907, -358, -2\/11?\nAnswer: -358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -64 + 62 + 31 + -1. Calculate the greatest common factor of g and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-140)\/6 + 410 + -388)\/((-2)\/(-39)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 667434 by 173.\nAnswer: 3858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -2.7, 0.8, 0.09?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*p - 1 = -16*p. What is the smallest common multiple of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3227, -12940, -29111, -51728, -80779, -116252, -158135?\n\"Answer: 2*x**3 - 3241*x**2 - 4*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*-1 - (2 - -4). Let v = -5 - n. Suppose 4*h = 36 - v. Calculate the remainder when 30 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11.392 + 0.008. Let k = 23.8 - x. Round k to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17754 = -0*s + 4*s + 2*k, -3*s - 5*k + 13319 = 0. Let f = s + -3159. What are the prime factors of f?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 53 - 32. Let q be ((-24)\/w)\/(12\/(-42)). Suppose 3*a - q*a + 88 = 0. 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: Let o(p) = -p**3 + 11*p**2 - 11*p + 11. Let r be 90\/8 - (-20)\/(-16). Let s be o(r). Solve -15 + 5 = -5*y + 2*w, y + s = w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q**2. Let u(m) = -159222111*m. Calculate u(i(g)).\nAnswer: -318444222*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 123969 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13 and -0.00683.\nAnswer: -0.08879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a decade in months?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4340 (base 7) to base 2\nAnswer: -11000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -149*b**2 + 1 + 33*b**2 - 159*b**2 - 200*b**2 to the form a*b**2 + v*b + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0019539755 rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*3*1*sqrt(91))\/(-1*sqrt(252) - (-2*sqrt(847) + sqrt(7))).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1454727\/7 + -207818. Suppose 12 - 4 = 4*f. Factor 6\/7 + i*j - 1\/7*j**f.\nAnswer: -(j - 3)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 22 = z, -3*a + z - 22 = -32. Solve 7 = 3*g + a*d + 19, -3*g - 3*d = 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 11:07 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2, 3, -30\/61?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 divided by -705719?\nAnswer: -3\/100817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 1\/17, -14\/9, -2, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 335741 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + 10*u - 6*u - 8, -5*u + 10 = -5*q. Solve q = -j - h - 7, 0 = j - 5*h + 1 - 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-25)\/15)\/(2\/(-6)). Suppose -3*s + 12 = 4*c, 0 = 6*c - c + z*s - 15. Let m(t) = 3*t**2 - c*t**2 + 8*t**2. Let j(g) = g**2. Determine j(m(f)).\nAnswer: 64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 5, -3*h - 2 - 1 = 3*m. Let p be (m - 4)\/(0 - -2). Let k = -4291 + 4290. Put p, 1, k, -0.4 in increasing order.\nAnswer: k, -0.4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/32 and ((-305)\/210 + 2)\/((-3)\/45).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - 13*t + 4. Let u be k(13). Suppose 3*v - u = -13. Let w = 66 - 77. Which is the second smallest value?  (a) w  (b) -5\/2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4\/501099137 - -20430814020376\/828316873461. Let r = 2\/1653 + v. Find the common denominator of r and (-4150)\/(-1350)*6\/(-10).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r - 4. Let o(l) = -1. Let q(i) = -1. Let v be 24\/15 - 4\/(-10). Let c(m) = v*q(m) - o(m). Let d be 1*-1*32\/8. Give d*c(t) + y(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 11, -6, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 3*s + 3877, -5*k = -s - s - 9740. Let h = k - 1159. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/14*-4*1\/8.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, -4\/5, 1\/2 in increasing order.\nAnswer: -1, -4\/5, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of 2*t**3\/45 + t**2\/3 + 4*t\/5 - 26. What is i in c(i) = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -447*d + 223*d + 218*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (-9)\/(-4)) + (-2)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39903047 or -39903046?\nAnswer: -39903047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 453 + 9106*r**2 - 219 - 4549*r**2 - 234 - 4554*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*d + 8 + 6 = 0, g - 2*d = 0. Let i(k) = k**3 - 3*k**2 - 3*k - 2. Let a be i(g). Solve 5*t - a*v = -5*v - 5, 3*t - 2*v + 22 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 301 + -607. Let z = t + 302. What is the third smallest value in -1\/10, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/6062 and -109\/1570.\nAnswer: 4758670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2 - 1)*(-3*d - d + d) + (-3 + 1 + 1)*(-32343 + 32343 - 56*d) as m*d + b and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -0.13125\nAnswer: 0.86875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -53336, -53343, -53350, -53357, -53364, -53371?\n\"Answer: -7*h - 53329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/60*-18)\/(1\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*s = 5*t - 15*s + 48, -5*t - 4*s = -66 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 639*f**2 - 209*f**2 - 1414*f + 1414*f - 216*f**2 - 208*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (0 - 24 - (397 + -415)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(4*(-4)\/(40\/(-5)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 21 = -4*n. Let f(j) = -j**3 - 3*j**2 + 3*j - 2. Let x be f(n). What is the third derivative of 2*r**2 + 12*r**5 + 3*r**x - 8*r**5 wrt r?\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*r**2*t*z - r**2*t + 5475*r**2*z + 2*r**2 - 3*r*z + 637379*t*z - 3*z wrt t?\nAnswer: -2*r**2*z - r**2 + 637379*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 29314*u**4*z + 3*u**2*z - 16*u**2 - 152*z wrt u?\nAnswer: 703536*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five eighths of a microgram in nanograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 4*s = -14 - 10, 0 = 5*r - 2*s + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**2 + 775515*z - 2326536 = 0. What is z?\nAnswer: 3, 775512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43318 by -242.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -128728118 at most -386184356\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 - 32*a**2 + 34*a - 65. Let b be z(31). Suppose 23*s - b*s + 12835 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 4 + 6. Let a(k) be the first derivative of k**3\/3 - 3. Give a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - 8*c + 11. Let s be n(-9). Let q be (s\/10)\/1 + -1. Let d = -2\/5 - q. What is the closest to 0 in 0, -0.5, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2\/5 - 4561952*v\/5.\nAnswer: 4*v*(v - 1140488)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 + 4*q**2 + 5*q - 5. Let m be d(5). Let f = 8 + m. Suppose -f*s + 2*s + 35 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.25 - 0.25. Let l be 2\/((-4)\/8*-32). Let p = -11\/24 + l. Which is smaller: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5 + (1 - -3))*(-15)\/(-1). Let p be (-4 + 10\/o)*3\/(-2). Suppose -p*w + 54 = -37. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -2. Suppose 0 + 6 = -j*t. Let y be (-55)\/(-15) + t\/3. Solve y - 2 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2\/16229 - 32384\/600473. Which is the third smallest value?  (a) 3\/4  (b) 1\/3  (c) 5  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 137455.\nAnswer: 5, 37, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -15*g. Let t(z) = 82*z - 1. Give t(h(p)).\nAnswer: -1230*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8 + -2 + 0 - 3. Suppose 4*d + 20 = -3*w - 0*w, 10 = -m*d - w. What is the third biggest value in d, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3650, 7962, 12268, 16574, 20886, 25210?\n\"Answer: t**3 - 9*t**2 + 4332*t - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 AM and 8:06 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -19 (base 14) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004174171045 rounded to 4 dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 34265717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -8072?\nAnswer: 1\/4036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/91620 and -17\/18782100.\nAnswer: 18782100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u**2 + 3*u**2 + 9*u**2 - 4*u**2.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -74 divided by -394?\nAnswer: 37\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -34331 + 35007.86. What is r rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10101000110000 (base 2) in base 15?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*f + 2097480 = 5*v - 16*f, v = -2*f + 419483. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*c**2 - c**2 + 6*c**2)*(-23*c**2 - 306*c + 24*c**2 - 600 + 602) to k + n*c**2 + t*c**3 + w*c**4 + y*c and give t.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 182173 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -s**5\/20 - s**4\/4 + s**3\/6 + 21*s. Calculate t(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(72))**2 - sqrt(450)*-1.\nAnswer: 15*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8*(-1)\/2*2\/18?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m + 1888 = 358. Suppose -2*g + 2*u = -1196, 2*g = 3*u + u + 1200. Let w = g + m. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 6:04 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/28284 or -1?\nAnswer: -1\/28284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 4:00 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-5445)\/(-1452))\/(30\/16). Factor -1\/2*g**2 + t*g + 2 - 1\/2*g**3.\nAnswer: -(g - 2)*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 286970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -368*x + 729*x + 22*x**2 - 23*x**2 - 368*x. Let d(p) = p**2 + 5*p. Suppose -5*o = 5*r + 40, -3*r + r = 6. Give o*k(z) - 7*d(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tqrr when four letters picked without replacement from qrqrtttjj.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 31197.19 kilometers in nanometers?\nAnswer: 31197190000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, 46\/3, -0.4, 2\/9, -5, -0.62?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 + 3*x. Let a be c(-3). Suppose a = -0*g + g - 4. Let i(w) = -2*w - 4. Let v(m) = -2*m - 5. Let b(n) = 6*i(n) - 5*v(n). Calculate b(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3*o**2 - 43 - 7*o**2 - 9*o**2 - 13*o**2 + 14*o**2. Let f(s) = s. Give v(f(g)).\nAnswer: -12*g**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.983 - 0.177. Let w = -0.16 - z. Let k be (-2)\/8*4\/3. Which is the second smallest value?  (a) 3\/7  (b) w  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 276 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 17893575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000 - -1000110111000?\nAnswer: 1000111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48 + -52 + (4 - 10 - 0 - 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -19 - -17 - -2135*15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 (base 13) in base 8?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9404772 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: 2 divided by -29971\nAnswer: -2\/29971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3.778401 milligrams?\nAnswer: 0.003778401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*h - 3*a - 53 - 25, -2*h + a - 43 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - 0)*(-18 + 16). Sort 0, 2\/5, z in ascending order.\nAnswer: z, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z - 6. Let t be v(4). Let k = t + 3. Calculate the remainder when (k + -3)\/((-2)\/59) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand d - 109 + 109 + (-1 - 2 + 1)*(2 - 2 + 2*d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 119*n + 2588. Determine x(-21).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 + 10*r + 20. Let d be b(11). Suppose 13*o = d*o + 212. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f + 3*f - 5*f)*(9 - 27*f - 9 - 17).\nAnswer: 27*f**2 + 17*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 + -1)\/((-1)\/(-2)). Suppose 0 = -l*s + 792 - 216. Suppose -h = -13 - s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120222 - 11?\nAnswer: -121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + 1)*(0 - -1). Solve s = m - 4*j - 5, j = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + -5. Let l = k + -4. What is the first derivative of -3*g**2 + 2 - l + 2 wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -161, -319, -475, -629?\n\"Answer: f**2 - 161*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4310?\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gghb when four letters picked without replacement from hbggg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q**3 + 232*q**2 - 18152*q + 35360 = 0. What is q?\nAnswer: -170, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/(-8))\/(-9)*(-4)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1087 (base 16) to base 13.\nAnswer: -1c06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkgkkgk. Give prob of picking 2 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 324591?\nAnswer: 3, 257, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 y, and 2 d when four letters picked without replacement from {s: 2, y: 3, f: 1, d: 10}?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuh. What is prob of sequence uu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -111110100010111101 (base 2) in base 12?\nAnswer: -104311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.3 - 2.12. Let b = 0.82 + n. Let w = -5 + b. Is -1\/3 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*x - m - 361, x - 86 = -3*m. Calculate the remainder when x is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2856?  (a) 1  (b) 0.2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -450450, -900940, -1351430, -1801920, -2252410, -2702900?\nAnswer: -3153390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -16*a + 43. Let p be j(-5). Let l = 400 - 277. Is p equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((o*o**(-12))\/o)\/o)\/o)\/o**10)**(-3\/41) assuming o is positive.\nAnswer: o**(72\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -342.6 + 312.6. Which is the fifth smallest value?  (a) 4  (b) 3  (c) -6\/5  (d) v  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yobgavob. Give prob of sequence vy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5*l = -9*l - 22, -4*l = 2*b + 28. Let o be (1\/(-2))\/(b - (-78)\/12). Put 5, 4, 1, o in descending order.\nAnswer: 5, 4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-19 + 19 - 6*x)*(0*x + 0*x + 3*x) + 16*x - 4*x**2 - 14*x + 3*x**2 - 2 in the form a*x**2 + z + q*x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 47*m**2 + 45*m + 91. Calculate c(-2).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3 - 104*i**2 - 759*i + 864.\nAnswer: -(i - 1)*(i + 9)*(i + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -11945 (base 11) to base 8\nAnswer: -41326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (14\/(-48))\/((-46)\/14708). Let n = 7\/92 + i. Let j = -95 + n. Is -3 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y = -0*y + 186. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in -4\/3, -2\/31, 2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 268\/85309 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 28 = 8. Which is the third biggest value?  (a) k  (b) -1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 147*x - 150*x. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (491\/4)\/(232\/32 + -7). Suppose -10*p + s = -2539. What are the prime factors of p?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n - 5. Let f be r(-3). Let z be (5 - (-4)\/4) + f. Suppose z*s = 28 + 84. 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: Suppose 7 = y + 2*y - 2*a, 5*a - 5 = 0. Suppose -6 = -3*p + 6. Suppose -p*b + 296 = -4*g, 5*b = y*g + 457 - 85. What is the greatest common factor of b and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of 4*h**3\/3 - 2*h**2 + 11*h + 34. Let n(t) = -25*t + 13. Calculate -2*n(o) - 7*x(o).\nAnswer: -6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8225 - -8230. Which is the closest to s?  (a) 0.3  (b) 1  (c) -0.164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 10:51 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.58 + 102.\nAnswer: 94.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(605) + 0)*-3*3 - (1*(-1 + sqrt(605)) + sqrt(605))*-3)**2.\nAnswer: 198*sqrt(5) + 5454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5043 divided by -2?\nAnswer: 5043\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of i - 3\/2*i**2 - 1\/6*i**4 + 1\/2*i**3 - 1. Let f(k) be the first derivative of w(k). Calculate f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-1\/10))\/y**(1\/4))\/(y**4)**(26\/3) assuming y is positive.\nAnswer: y**(-2029\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is o in o**2\/4 + 34229*o\/4 + 512985\/2 = 0?\nAnswer: -34199, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 - 2)*(1 - 0). Suppose 0 = -3*d - v*d. Solve d = -5*q + q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.4, -0.12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 14114301 (base 5) to base 16\nAnswer: 23637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 21*g + 21. Let i(x) = -5*x - 5. Let m(s) = -9*i(s) - 2*u(s). Let f be m(-2). Is (0 + 6)*f\/(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o + 11. What is s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/7, -3, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 + 2209. Let a be b(0). Let c = -11108\/5 + a. Is -12 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 975\/3549 - 6\/14?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 96 = 4*g, -4*g + 66 + 146 = 4*d. What is the remainder when 100 is divided by d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/3))**28*z**(2\/7)*z**(-14\/3)*z assuming z is positive.\nAnswer: z**(107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1488 - 528 = -15*q. Let m = q + 77. Suppose p = -2*p + 5*j + m, 0 = 5*p + 5*j + 45. Put 3, -5, p, 0 in ascending order.\nAnswer: -5, p, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 32*w + 42414 = -29*w, 212042 = 5*c + w. Is 152 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3198\/46171 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 87 + -87. Suppose -5*o + 2697 = 2*x - k*o, 2*o = x - 1371. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 31, -32\/9, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 165 and 30390?\nAnswer: 334290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 8, j: 2, i: 1, x: 7, y: 2}. Give prob of sequence gj.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -12*v**5 - 39*v**4 + 255*v**3 + 210*v**2 - 828*v - 216 = 0.\nAnswer: -6, -2, -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 226906\/4*((-242)\/(-22) - 9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 1, -2\/7, 0.014 in decreasing order.\nAnswer: 6, 1, 0.014, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is e2 (base 16) in base 9?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*t = 145*t - 27*t + 516. Let c(h) = -5*h - 50. Calculate c(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 21*c - 248. Let x be b(12). Solve -x*a - 2 = -6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*o = -72. Suppose 0 = -2*y - 6*y + o. Solve -2*p + v + 4*v = y, 5*p + 4*v = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 + 9*h - 1110. Calculate z(-38).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3198 and 67076?\nAnswer: 2615964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8138?\nAnswer: 2, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (151\/(-453))\/((-2)\/(-18)*-11).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26612 (base 13) to base 5.\nAnswer: 4240313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - f + 2*f + 0*f)*(-1 - 3*f + 1) + (11 - 9 + 8)*(3 + 3 + 0)*(0*f**2 - f**2 - f**2).\nAnswer: -123*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from ejmtlemtmz?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**5 - 12*w**4 + 48*w**3 - 82*w**2 + 63*w - 18.\nAnswer: (w - 6)*(w - 3)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*c = -14 + 98. Let w be (8\/24)\/(c\/180). Calculate the highest common divisor of w and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1121 + 658. Let l = 663 + s. Is l a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of d**4\/8 - 8*d**2. Let q(b) = 32*b. Calculate t(q(i)).\nAnswer: 96*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1033 divided by -4\nAnswer: 1033\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*y + 1651, 29*y - 25*y - 3*r - 3307 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5950 = -20*p + 3*p. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 130, -5, -4, 14.\nAnswer: -5, -4, 5, 14, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 2) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 60 - 102. Let k be 78\/y + 2\/(-14). Let j = 2\/61 + -69\/244. What is the third biggest value in -2\/7, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 901846 by -5.\nAnswer: -901846\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -5*f**3 + 80*f**2 - 35*f + 469. Is r(-35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = -14 + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 5*d = -471, 4*d - 501 = -4*u + 3*d. Let t = 210 - u. Suppose w + w = t. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*x + 13*x - 4*x**3 + 2*x**3.\nAnswer: -2*x**3 + 26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -209635, -419269, -628903, -838537, -1048171, -1257805?\n\"Answer: -209634*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 3*k**2 + 3*k - 8. Let i be h(7). Suppose 0*g = 4*g - i. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 2*w**3)*(-2*w + 3*w - 3*w)*(-32 + 87 + 232) - 2*w**4 - 3*w**3 + 3*w**3 to the form u*w**4 + r + h*w**2 + a*w**3 + p*w and give u.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 210784371 a multiple of 397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*r + 5*p - 0, -20 = -4*r + 3*p. Find the second derivative of 105*q**r + 37*q - 66*q - 28*q wrt q.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*v**4*w + 133*v**2*w - 53*v*w + 5*v wrt v.\nAnswer: -36*v**2*w + 266*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -8, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23882286?\nAnswer: 2, 3, 43, 92567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -31521, -31469, -31383, -31251, -31061, -30801?\n\"Answer: 2*c**3 + 5*c**2 + 23*c - 31551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 3*g**2 + 2*g - 3. Let m be y(1). Suppose -8444 = -m*l + 1014. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 3*t + 9, -3*i + 0 - 147 = -81*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 - 22*t - 80. Let m be x(-5). Let d = -15 + 16. Let y(g) = 4*g + 2 - 4 + 0*g - d. Give y(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -5\/2096144 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 3 = -15. Let q = -53.7 - -62. Let k = 8 - q. Which is the third smallest value?  (a) i  (b) k  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59*(-695)\/32804*(2\/30)\/((-235)\/120)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7376 is divided by 7361.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/12)\/(10\/15)*4\/6\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -35466752871282+0.4\nAnswer: -35466752871281.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2410.8473 - 2411. Let w = -0.159 - a. Round w to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*u**2 + 43*u**2 - 19*u**2.\nAnswer: 49*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 16741 <= 16744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4282, -19, -2, -4 in ascending order.\nAnswer: -19, -4, -2, 1, 4282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -28115 * -5.\nAnswer: 140575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -468*d + 239*d + 231*d - 2*d**2 - 2 + 2*d**3 + 35*d**4 + 43*d**4 as u*d**2 + l*d + o*d**3 + h + v*d**4 and give v.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -7078.6578 rounded to the nearest one hundred?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -30792b?\nAnswer: -307927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3762 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1865440 (base 11) to base 8.\nAnswer: -14022066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 z when three letters picked without replacement from bbzbi?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -330 or 1.111?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 44 + -18. Let h(c) = -7*c**2 + c - 1. Let i be h(-4). Let d be 4\/(-3)*i*(-4)\/(-6). What is the highest common divisor of d and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15385.\nAnswer: 5, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**2 + 75*d - 472. What is h(-43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 3*i - 2034 = -10*f, -2*f + 4*i + 1012 = 0. List the prime factors of f.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -10*60\/(-1100)*-33 + 19. Let l be (6\/10)\/(78\/(-4)). Is l > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, -2\/5, -4, -3, 0.295, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 129327 and 70542.\nAnswer: 775962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m**2. Let r(a) = -6407617*a. Give r(t(v)).\nAnswer: -12815234*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 l when three letters picked without replacement from cldrrrcdr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.07 - 5.07. Let j = -84994.91 - -84999.909969. Let v = x + j. Round v to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 4:20 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 173*r**2 - 320*r - 5304. Determine b(175).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 3, 1 in increasing order.\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-6 + (-3 - -7) + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7349327329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-2\/5))**(-13\/4)\/(a**7\/a**(2\/7)) assuming a is positive.\nAnswer: a**(-1577\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 1, -2, 3, 10, -41 in decreasing order.\nAnswer: 10, 3, 1, -2, -17, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/9, -3\/7, -2, 12?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, w: 4, d: 2}. What is prob of picking 1 i, 2 d, and 1 w?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 64*z**3 + 47*z**3 + 7*z**3 + (0 + 0 - z**3)*(1 + 4 - 3).\nAnswer: 116*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 100\/45 + (-4)\/18. Suppose -m*o = -4*u - 118, 0 = 2*o + 8*u - 3*u - 109. Calculate the remainder when o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 - 9*o**2 + o - 6. Let m be b(9). Suppose 4*w - 13212 = m*u - 5476, 0 = -w - 2*u + 1923. Let v = 3862 - w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60465.28 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14011 - 13691. Is g at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + 5*m + 5298. Let g = 1492 + m. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 26\/5 of a millennium?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -43 - (5 - (-2 - -7 - (5 + -9 + 2))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 6, f: 2, y: 3, j: 1, t: 4}. What is prob of picking 1 t and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 4*j - 1. Let u be d(3). Suppose 4 = -3*v - u, -5*z = 5*v - 115. Suppose -23 - z = -6*q. Calculate the remainder when 31 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 438 (base 15) to base 5.\nAnswer: 12303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -4*u + 28. Let r(i) = -13*i + 9. Let n be r(u). Does 16 divide 1 + (-9)\/3 - n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 5*z - 15 = 0, -3*c - 2*z + 24 = -0*c. Let b = 37 + -37. Solve b = 2*m - c*m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/525)\/((-3)\/15).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*m + 8 = 6*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131*a**2 - 62*a**2 - 70*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*f + 196 + 119. What is the lowest common multiple of f and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3340 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27508, 0.15, -0.4.\nAnswer: -27508, -0.4, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6 + 4025?\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 3*y, -4*y = s + s. Solve s = -5*k + 13 - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 81\/36 + (-6)\/(-8). Let f be (-3)\/(-3)*b\/(3\/5). Solve 3*l + 3*u + 21 = 0, -3*u - 4 = 4*l - f*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17964923, 35929844, 53894765?\nAnswer: 71859686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -470*x + 155*x + 161*x + 159*x. Let o(q) = -247*q**2. What is o(a(b))?\nAnswer: -6175*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 3*t + 0*t + 3*t. Let f(q) = -2*q**2 - 2*q**2 + 2*q**2. Calculate f(w(s)).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r**2 + 546*r + 549 = 0.\nAnswer: -1, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67055070?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-106.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/(-3) + 4 + -2)*-2. Suppose -o*s + 216 = -360. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 637097.2 millennia in centuries?\nAnswer: 6370972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, j: 5}. What is prob of picking 4 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17419109453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 19 = -3*f - 2*s, 2*s + 30 = 4*f. Let i(v) = -v**3 + 18*v**2 - 9*v + 5. Is i(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303747747 to the power of 1\/2, to the nearest integer?\nAnswer: 17428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20947 - -39076. Suppose 3*c + o = 4*c - 3*u, 2*c = 3*u + 36252. Let p = -253611\/14 + c. Calculate the common denominator of p and 79\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 141709000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11298 and 2.3.\nAnswer: 25985.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4315982?\nAnswer: 2, 11, 196181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -714a5 - 7?\nAnswer: -714b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-21))\/(75\/(-1225)*-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 148 - -8. What is the greatest common factor of z and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/(-10) - (-10 + 8). Suppose -50*p = -55*p - 20. Which is the closest to 0.14?  (a) u  (b) -1\/3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13203277 is divided by 6601580?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 900436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -2*j + 40, 0 = -2*v + 3*j + 18. Let a = -7 + 7. Let g = v - a. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 5)*(2*x**2 + x**3 + 2*x**3 - x**3).\nAnswer: 8*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 237 or 854400?\nAnswer: 854400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 23326 by 18.\nAnswer: 11663\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from drmzm. Give prob of picking 1 d, 1 z, and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 44.3 + -44.2. Which is the second smallest value?  (a) z  (b) -6\/59  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 5224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 2\/7, 64 in descending order.\nAnswer: 64, 2\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*f**2 + 5*f**2 - 261 + 261 to g + c*f + v*f**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 3*f - k, 0 = -1532300*k + 1532296*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-4)\/(-10)*25\/60.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -4\/45, 3, -2?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 3*z**2 + 5*z + 3. Let j be v(-7). Suppose 2*i = -3*i + j. Let m = i - 23. Solve -b = -m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*z + 12*z - 21. Let m be z\/2*5\/(-60). Is m smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 divided by -408?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 65, -1\/2, 0 in increasing order.\nAnswer: -4, -1\/2, 0, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 3958*p + 3960*p - 11879*p + 3961*p - 1046*p**2 as k*p + f*p**2 + q and give f.\nAnswer: -1046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s - 3. Let m be i(-4). Solve -b + m = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1437, 7688, 18741, 34590, 55229?\n\"Answer: -r**3 + 2407*r**2 - 963*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 82711\/6 at least 13785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109 - 1 = -5*p. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1230 and 39.\nAnswer: 15990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 14. Let x = -77 + 79. What is the remainder when (x + (-2)\/3*-1)*21 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - -1)*(-7)\/7. Let z = 8\/37 - 175\/296. Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -243302 (base 5) in base 9?\nAnswer: -13554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/t**(-7)))\/t)**(-4\/27)\/(t*t**(3\/7)\/t)**22 assuming t is positive.\nAnswer: t**(-1558\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -4*f. Let c(v) = 399*v - 218*v + 265*v + 137*v + 81*v. Give b(c(w)).\nAnswer: -2656*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1210002 (base 3) to base 16.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 + -26 - (9 + (2 - (2 + 10)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26532 and 2662044.\nAnswer: 7986132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*w = -0*v - 18, -4*v + 4 = -4*w. Suppose q - 93 - 36 = -v*i, 2*q = 4*i - 92. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11478 and 10650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1.31, -3, -35, 4, 2\/49, 0?\nAnswer: -1.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1481, -1013, -541, -65, 415, 899?\n\"Answer: 2*v**2 + 462*v - 1945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 36739421167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(5) + -1)*-3 + -4 + (sqrt(5) - sqrt(225)\/sqrt(5) - sqrt(5) - -4*(sqrt(5) + 2)) + -5))**2.\nAnswer: -288*sqrt(5) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 27*i - 10. Let j be (8\/20)\/(1\/(-20)). Let n = -2 - -5. Let g(u) = 9*u - 3. Let f(a) = j*g(a) + n*m(a). Factor f(l).\nAnswer: -3*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s**(-1\/41)*s)\/s*s))\/(s\/s**39)*(s*s**(2\/55))\/s**(8\/7))**(-42) assuming s is positive.\nAnswer: s**(-3591204\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005876 to four decimal places.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1552*o**4 - o**3 - 969*o**2 - 2 wrt o.\nAnswer: 37248*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 6455 = -3*l, 0 = -5*l + 2*x - 1352 + 12117. What are the prime factors of l?\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-564)\/(-14) + (-16)\/56. Calculate the smallest common multiple of 9 and b\/(-7)*98\/(-28).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.14 minus 3220?\nAnswer: -3220.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**4 + 31974*s**3 + 127808070*s**2 + 127776098*s = 0?\nAnswer: -7993, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2*f**3 - 23*f**2 - 29*f - 17. Let o(q) = q**3 - 12*q**2 - 15*q - 8. Let z(d) = 5*o(d) - 3*y(d). Is z(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 806397 and 1510098?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 55*a. Let n be q(1). Suppose 0 = z - 6 + 1. Suppose 0*j + n = z*j. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -449 + 668. Suppose 0 = 9*r - f - 357. Solve -4*v - 28 = 2*c, -23 = -5*v - 4*c - r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-3 + -2 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.25215 + -0.08785. What is the second biggest value in 0.1, 1\/6, 4, z, -0.05?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 95857422 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 22, -1, 18.9 in ascending order.\nAnswer: -7, -1, 18.9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q - 7. Let t be d(6). Let m(u) = -u**3 - 23*u**2 - 23*u - 22. Let s be m(-22). Suppose 8 = -c + v, 4*c = -0*c - 4*v - 8. Sort t, s, c.\nAnswer: c, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-8)\/1 - 1083495\/(-38241) - (-2)\/(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 88 + -93. Let y = -2 + -2. Put r, -2, y in decreasing order.\nAnswer: -2, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 3636*d**3 - 6418*d**3 + 4*d + 4173*d**3 to the form i + q*d + c*d**2 + t*d**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = w, 2*h = 2*w + 2*w + 2. Suppose -h*l - 5*i + 17 + 4 = 0, -i = 2*l - 14. Let u(o) = -o**2 + 10*o - 10. What is the units digit of u(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6195225 is divided by 644?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -g**5 + 8*g + 0*g**5 + 0*g**5 + g wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 1113 = 312. Suppose 15*r - 10*r - c = 0. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, r: 1, x: 1, b: 1, n: 3}. What is prob of sequence nxr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6\/9)\/(4\/6). Let d be (n + -1 + 0)\/1. Let q be -1*(0\/2 + d). Is q smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*f - 29342 = 29641 - 64683 for f.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 34aa (base 16) to base 5\nAnswer: 412412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 0*n + 2\/3*n**3 + 7\/10*n**4 + 1\/5*n**2 + 6\/25*n**5 + 1. Let b(r) = 0. Calculate r.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 655, -5, 0, 4\/35, 4\/11?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 5:33 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 1:00 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*q**3 - 3*q**3 + 4 + 0*q**3 + (2*q**2 + q**2 - 4*q**2)*(-q + 0 + 0) + 3*q**3 - 4*q + 4*q to the form z*q**2 + d + w*q**3 + n*q and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.23 + 1130754.3?\nAnswer: 1130754.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -6*l + 9*l + 42, 4*k + 4*l = 8. Let j be 3258\/(-4)*8\/k. Is 31 a factor of 1\/((-8)\/j) - 75\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and (-5)\/((-40)\/24) - (-3)\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*r - 5 = -5*p + 9*r, 2*p + r = 2. Let x be 14\/(-6)*p - (-6 - -3). What is the nearest to x in -5, -3\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 6*t**2 - 5*t + 2. Let a be b(4). Let g be (-10147)\/a + 2 + 0. Let v = -5036\/7 - g. What is the common denominator of v and 123\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + -3 - -7 - (-33 + 1 - -37).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2b48b (base 14) to base 16\nAnswer: 1a593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61 + 59 - 2*j**3 + 81 - 201.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 28221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 930599.8 rounded to the nearest ten thousand?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2011 - 1121 = -86*c - 1856 + 3798 for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + 3*q - 150, -2*y - 2*y + 164 = -4*q. Find the second derivative of 10*t + 8*t + 20*t - y*t**3 wrt t.\nAnswer: -234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5, w: 5}. Give prob of picking 4 w.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68244 divided by 4.\nAnswer: -17061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (-7 + 19) - (1 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d - 218 = -626. Suppose -6*x + d = -2*x - f, 0 = -2*x + 2*f + 18. Suppose -6*b = -x*b + 208. What is the smallest common multiple of b and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**2 - u**2 - 2*u**2 + (u**2 - 2*u**2 - u**2)*(-1 - 2 + 1) + 2*u**2 + 1 - 1 + 27*u - 27*u - 34*u**2.\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1830*y - 1843*y + 19721 = 0. What is the greatest common divisor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 49 - 45. Calculate the lowest common multiple of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((406\/16)\/7)\/(279\/248*(-3)\/27)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1444223 is divided by 608?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132 = -50*m - 282 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 a, and 1 g when three letters picked without replacement from ggsgaos?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -503*b - 1. Let y(f) = -12*f**2. What is o(y(s))?\nAnswer: 6036*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**0*v*v**(-2\/11)\/v*v)\/(v**(3\/8)\/v**(-1)) assuming v is positive.\nAnswer: v**(127\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 78.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3754784521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -376*h**2 - 118*h + 118*h + (-2 + 0 + 0)*(1 - 1 - 2*h**2) - 9 + 6*h**2 + 9 - h**2 + 0*h**2 + 0*h**2 as s*h + r + k*h**2 and give k.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 4 + 5)*(-52 - 67 + 71)*(52 - 52 - 52*t) to the form j + k*t and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14873 = -1245*r + 377*r - 5091 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 9. Let p be 1180\/28*(-6)\/i. Let o = p + 50. Which is the closest to 0.1?  (a) o  (b) -3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*u + 668 = 866 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/1610 and -61\/1264200.\nAnswer: 29076600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 938*w**2 + 448*w - 888. What is the thousands digit of j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8732543.\nAnswer: 17, 513679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*o - 2*s + 6143594 = 92*o, o + 2*s - 3071805 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*l = -17*l + 64. What is the greatest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 4*s - 8 = 5*v, -5*v = 3*s + 34 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.07?  (a) -1\/7  (b) 60951  (c) -4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -155\/8374914 and 65\/72.\nAnswer: 33499656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 135\/(-18)*(-4)\/(-3). Let w be (-1 - t)\/(-3) - -3. Suppose f = -d + 20, -f + w*d + 25 = 2*d. Solve q + f = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, v: 3, d: 6, e: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n = 86 + 148. Solve -5*m + 4*r + n = 0, 3*m - 9 - 1 = r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -22\/13 in 2\/3, 2194, -3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -3  (c) -104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -258*i + 252*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-10)\/(z*((z**(-2\/39)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(-310\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 0 + -7 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.26 + 1.26. Let v = -91 - -16. Let w = v + 80. What is the nearest to -1\/3 in w, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/27*18\/30.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 1493059920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 73.930203 microseconds to hours.\nAnswer: 0.0000000205361675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 PM and 3:04 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1372539*0.13\nAnswer: 178430.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 430*v + 21996 = 436*v. Suppose 19*q - 25*q = -v. List the prime factors of q.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 312 + 10111332?\nAnswer: 10112144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -283*1\/2 - (-16)\/(-32). Let m = 99 - g. What are the prime factors of m?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00439511095 rounded to 5 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 436 is divided by 224?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 1\/3  (b) 2  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139958?\nAnswer: 2, 7, 13, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11\/13 or -165709?\nAnswer: -165709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 265183, 265304, 265425, 265546, 265667?\nAnswer: 265788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 AM and 3:08 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -77 + 344. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11.821 + 11.820997566. Round p to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 220.203 grams?\nAnswer: 0.220203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (2 + -10 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7539 and 546.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*2\/(-4) + (-51)\/34. Find the common denominator of 113\/98 and (((-82)\/45)\/x)\/(4\/(-5)).\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-131)\/(7598\/(-348)))\/(5\/(-30))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, t: 12}. Give prob of picking 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -4*t**2 + 2*t + 4. Let z = 3336 - 3338. Calculate p(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -5*w**4 + 1025*w**3 + 2065*w**2 + 1035*w = 0.\nAnswer: -1, 0, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0109994 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 divided by 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of b**3\/3 - 4*b**2 + 4*b - 1. Let v = -420 - -400. Let s(t) = -2*t**2 - 44*t - 75. Let k be s(v). What is w(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (694\/18 - 5) + ((-2)\/(-54))\/((-313)\/(-3756)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 12925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -27329 - -1459387\nAnswer: 1432058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -31  (c) -19  (d) 2  (e) 0.06  (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**2 + 65484*r.\nAnswer: 4*r*(r + 16371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of f**5\/60 - 13*f**4\/24 + f**3\/3 + f**2. Suppose 77*u + 65 = 82*u. Calculate the least common multiple of 5 and j(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1660\/3653 + 2\/281. Suppose -238*n + 2085 = -2323*n. Which is the nearest to -1?  (a) n  (b) m  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(((r*(r\/(r\/(r*r*r**5)))\/r*r)\/r)\/r)*r*r)\/(r**(-1)\/r*r)*r**(-5\/7)*r**(-1\/11)*r assuming r is positive.\nAnswer: r**(-62\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -811*y = -4*l - 808*y - 304600021, -y = -5*l - 380750007. What is l rounded to the nearest one million?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19865 divided by 6.\nAnswer: -19865\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11322.\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 1:49 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f**(1\/3)))**(-6)\/((f*f**1)\/f**0))\/(f**(-7)*(f*f*f\/f**(3\/4))\/f*(f\/(f\/((f*f**(-1))\/f)))**(1\/16)) assuming f is positive.\nAnswer: f**(93\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d**2 - 14*d + 21. Is 10 a factor of v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6448*g - 12901*g + 13*g**3 + 6453*g.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152 = 19*r - 247 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 34*l - 39*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/(-48)*(-8)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1763c3 (base 15) to base 2\nAnswer: -100010101000100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of a**4\/8 - 4*a**3\/3 + 21*a**2 + 4*a. Let v(o) = -3*o. What is v(q(t))?\nAnswer: -9*t + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 7 + -5 + -1 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5 - 29)*(28\/(-16) - -1). Let l be q\/(-8)*(-5 - 86\/(-18)). What is the second biggest value in l, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3198 is divided by 68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.8?  (a) 1\/6  (b) -0.2  (c) -1  (d) 244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17509, 70063, 157651, 280267, 437905, 630559, 858223?\nAnswer: 1120891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 + 3*p**2 + 6*p - 6. Let m be f(4). Let i(j) = -4*j**2 + j**2 + m*j + 3*j**2 + 11*j**2. What is the tens digit of i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 5*s = 2 - 13, 5*g - 20 = -3*s. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30.07 - 30.053. What is the third smallest value in 2\/9, j, -1\/12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3439?\nAnswer: 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 442494 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -5 + ((-4 + sqrt(200))**2 + sqrt(2))*2 + sqrt(22)\/(sqrt(11) + 3*sqrt(11)) + sqrt(10)\/sqrt(5)*3.\nAnswer: -619*sqrt(2)\/4 + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -57 + -84. Let u = -82 - z. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 - 7*i + 5. Let g be k(-6). Suppose -5*r - 4*m = -g - 1, 2*r - 5*m = -15. Let u = -5 - -6. Solve -u = -r*h + h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + 0.462.\nAnswer: 0.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 651 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 30\/13?  (a) -0.17  (b) -1  (c) 51\/50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*v = -12*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-8)\/18*-3)\/(1\/57)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4285 divide 279270399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -33 + 2219905?\nAnswer: 2219872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(140)\/sqrt(5))**2*-1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -881*d + 6459 - 6459.\nAnswer: -881*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 5*m - 59 = -26, 29*w = -3*m + 20 - 221 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t*t*t*t\/((t**(-44)*t)\/t)*t*t)\/t)\/t**(-35) assuming t is positive.\nAnswer: t**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -15*z - 17*z - 3*z**2 + 5*z**2. Let d(p) be the third derivative of -105*p**2 + 1\/30*p**5 + 0*p**4 + 1 + 0*p + 0*p**3. What is d(i(h))?\nAnswer: 8*h**4 - 256*h**3 + 2048*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c - 12. Let t(m) = -4*m + 7*m - 1 - 2*m. Let r(o) = b(o) - 3*t(o). Give r(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32071006 is divided by 1002?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*(h\/(h\/h**(-17\/3)))\/h)\/(h*h**(-38)))**(9\/5))**28 assuming h is positive.\nAnswer: h**(7896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/12)\/(((-6)\/279)\/((-916)\/(-1603)))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/6 - 6161663*d\/2 + 9242494\/3.\nAnswer: (d - 18484988)*(d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2. Let s be (-8)\/36 + (-80)\/45. Let y(t) = -10*t. Let k(q) = -q. Let b(w) = s*y(w) + 10*k(w). Give u(b(m)).\nAnswer: -100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -5 + 6 - 13 + z**2 - 2*z**2 + 11*z. Let l be o(9). Let n = -14 - -29. Calculate the highest common divisor of l and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 481347.12 to the nearest one thousand.\nAnswer: 481000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*l**2\/5 + 1691254*l\/5 - 15464064\/5.\nAnswer: 2*(l + 120813)*(7*l - 64)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -62*u**2 - 7290*u - 3562. Determine m(-117).\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 - -22. Let z be 9 - (l*(-3)\/9 + 0). Suppose 10*v = z*v + 45. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16009009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + -12.41. Let p = 1.32 - g. Let d = 0.33 - p. Which is the third smallest value?  (a) d  (b) 1\/4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5\/10)\/((-2)\/(-12)). Solve 2*z = -j + 7, 2*z = i*j + j + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 636315 is divided by 833.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 11*z + 478. Determine y(-38).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -205911567*j**3*u**5 - 11783*j**3*u**2 + j*u + 256*u**2 wrt u.\nAnswer: -12354694020*j**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 267 a factor of 6877962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1308 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 990 = -47*w - 43*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 515\/(-309)*36\/1830.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 4*y - 20. Suppose -760 = -y*o - h - 4*h, -2*h + 461 = 3*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(24)\/(sqrt(300)*1))*-3.\nAnswer: -3*sqrt(2)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*i - 4*o + 10, 5*i - 32*o + 15 = -34*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -5*o**6\/6 + 5*o**5 - 5*o**4 - 80*o**3\/3 + 80*o**2 - 80*o + 162. Factor t(i).\nAnswer: -5*(i - 2)**3*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65524978 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19787.\nAnswer: 47, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*c**3 - 7 + 7 + (c - 3*c + 0*c)*(6*c**2 - 4*c**2 - c**2).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1140 - -69684158422.\nAnswer: 69684159562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b\/(b**4*b)))\/b)**(-10\/3))**30 assuming b is positive.\nAnswer: b**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -0.04.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 27463147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36*(-35)\/2835*144\/192.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqtptqpppp. What is prob of picking 3 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 - 2 - (3 - (-7 + 604)). Calculate the greatest common factor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2284 + -2288.9. Which is the second biggest value?  (a) -0.2  (b) k  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 4*c - 4*c + (-5*c + 2*c + c)*(4 - 2 - 4) - c + 3 - 3 - c - 3*c + 5*c - 13*c + 2*c + 2*c)*(1 - 6 + 3).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*o**3 + 9*o**3 - o**3)*(2 - 2 - 1) to the form j*o + f*o**3 + d + s*o**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -0.2, -0.5, -3, 739?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of 18*y**6 - y**5\/5 - 2*y**3 + 1451*y**2\/2 + y - 3766. What is the second derivative of k(v) wrt v?\nAnswer: 2160*v**3 - 12*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - 18 - 2117\/(-87))\/((-2)\/31)?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * 634305.4\nAnswer: 253722.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -58 - 2246?\nAnswer: -22a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 587.9017 seconds to microseconds.\nAnswer: 587901700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83 + 2922*h - 21244*h + 83 + 86628*h.\nAnswer: 68306*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4 and -6762?\nAnswer: 6758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(204)\/(sqrt(108)\/sqrt(9)) - (3 + (sqrt(17)*-3)**2))*-2.\nAnswer: -4*sqrt(17) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 10:13 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42, 24, -32, -126, -258?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/k**11)\/k*k*k)\/k**(2\/15))**(2\/5)*(k**0\/(k\/(k*k**(-6)\/k)))\/((k\/(k**(-2\/9)*k*k))\/(k*k*k**(2\/17)*k*k)) assuming k is positive.\nAnswer: k**(-22024\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -869113363613143.0000014 + 869113248474507. Let c = -115138625 - g. Let s = c - 11. Round s to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - (2 - 0)) + -6 + 0 - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/2)\/(36\/196524) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z + 5 - 3*z + 4 + 4*z + 13*z.\nAnswer: 16*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3603 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3502 + -3507. What is the fourth biggest value in -1\/4, -2, 268, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - 11)*(-15)\/6. Let b = l + -7. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 4  (b) -0.07  (c) -34\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20 + -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -10*x + 20. Does 12 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.503 - 0.003. Let z = -76 + 381\/5. What is the third biggest value in z, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95395 - 2304 - 18335 = -1280*n + 51646 for n.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(13) + (sqrt(13) - (-1 + sqrt(13))) + (sqrt(13) - sqrt(26)\/sqrt(2)*-2).\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 304 = -0*g. Suppose -3*s = s - g. Let w = s - 18. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, 4, -68, 2 in descending order.\nAnswer: 4, 2, 0, -3, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (10 - 20)*3\/(-5). Let k(l) = -l**2 + 7*l - 3. List the prime factors of k(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of 2 + 7\/10*m**5 + 1\/4*m**4 + 0*m**3 + 0*m**2 + 5\/12*m**6 + 0*m. Determine t, given that a(t) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -64697, -129397, -194099, -258803, -323509?\n\"Answer: -f**2 - 64697*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n - 319 + 319.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -22*c**3 - 7*c**2 - 20*c - 2. Let d(n) = -23*n**3 - 6*n**2 - 21*n - 2. Let u(i) = -7*d(i) + 6*k(i). What is the second derivative of u(p) wrt p?\nAnswer: 174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5143763 is divided by 1714570.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.13 and 1479.\nAnswer: 1478.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/(-8))\/(45\/(-72)). Let g(n) = 3*n + 28. Let i be g(-7). Which is the closest to -1?  (a) 1\/2  (b) i  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -985*c - 10674. What is q(-11)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 611 = 84*z - 2127 - 286 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (55 - -2) + (-1586718)\/27756\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/62*(-4080)\/3060.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22212 (base 4) in base 10?\nAnswer: -678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*l + 1710 = 1905 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -41*u**2*w**2 - 2*u**2*w + u*w**2 - 553499*w**2 - 35290851*w wrt w.\nAnswer: -82*u**2 + 2*u - 1106998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/490646735 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2038846020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12.28 - 84.468. Let r = m - -72. Let x = r + -0.012. Which is the nearest to 2\/5?  (a) 0.5  (b) -4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 388014834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5\/8 + 59\/120. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -23 - (-10 + -112 + 37)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 272967\/14 - 19498. What is the second smallest value in j, 2\/5, 0.05, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 43, 47, 51, 55, 59, 63?\n\"Answer: 4*x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - 1 - (-12 + -17).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 12, -16384, 0.5, -3?\nAnswer: -16384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -122 - (-12 - (-26 - -9 - -18)) - -19.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d + 35*d + 38 = 0. Put d, -1, -217 in decreasing order.\nAnswer: -1, d, -217","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -97*m**2 - 480*m + 1475*m**2 - 166*m - 276*m + 32*m wrt m.\nAnswer: 2756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = 4*o - 0*t + 10, 5*o + 5*t - 10 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -453*j + 451*j = 0. Solve -v = -3*z - 9 + 15, j = -2*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21178873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i**2. Let h(y) = y**2 - 11*y + 1. Let u be h(11). Let w(r) = -u + 7 + 3*r - 2 + r. Let a(k) = k - 1. Let n(q) = -4*a(q) - w(q). Give n(l(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, g: 2, u: 1, t: 1}. Give prob of picking 1 g and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -617 - u**3 + 610 - 2*u**3 + 7*u**2 + u**3 - u**3 as s*u**3 + r + q*u + k*u**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2124 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7137 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1341 - 51522?\nAnswer: -50151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/2  (b) -5  (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37, 67, 97, 127, 157?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8.2 - 8.2102. What is d rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*b - b - 2*b - 7000 = 21*b for b.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*t**3 + 16*t**3 - 1112*t**2 - 1097*t**2 + 3304*t**2 + 14*t**3 - 1095*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of j**4 + 548*j - 1412 wrt j?\nAnswer: 4*j**3 + 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1400.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 16) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*v - 14 + 2, 3*x = -5*v + 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 891585 to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 14*z**3 + 926*z**2 + 135*z + 197. Determine b(-66).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wllf when four letters picked without replacement from {l: 2, f: 7, w: 1, d: 2}?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8 + 29203817?\nAnswer: 29203809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 3. Let i = 117 + -111.3. Let w = -6.4 + i. Which is the third smallest value?  (a) -4  (b) w  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 199610065099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -19*r**2 - 2*r - 5. Let c(n) = 60*n + 0 - 58*n + 4 + 4829*n**2 - 4811*n**2. Determine -5*c(f) - 4*x(f).\nAnswer: -14*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16659 and 49977.\nAnswer: 49977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(60)\/(sqrt(12) - (sqrt(12) - 1*sqrt(12)))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -74, -69, -64?\n\"Answer: 5*r - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 9:33 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000461 to five dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -4*b - 1\/12*b**4 - 2*b**2 + 0 - 5\/6*b**3. Calculate t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*f**4 - 29055*f**2 - 2573809*f.\nAnswer: 168*f**2 - 58110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 3005167.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 717.7564 centimeters in meters?\nAnswer: 7.177564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -4*w**2 + 15 + 2 - w**2 + 6*w**2 - 19*w. Let h be b(12). Let c = -30 - h. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 207113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-5\/4)*d)**35 assuming d is positive.\nAnswer: d**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19352220 or 5?\nAnswer: -19352220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*f*z**3 - 1326*f*z**2 - f*z + 7974*z**3 wrt z?\nAnswer: -12*f + 47844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*l**2 + 0*l**2 + 30*l**2 + 6*l**2)*(27*l**3 - 23*l**3 + l**2 + 3*l**2).\nAnswer: 204*l**5 + 204*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78 is divided by 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-1 - 4) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-30)\/180*5?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3247, -6496, -9745, -12994?\nAnswer: -16243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nbvxxvvxxxxxxxvv. Give prob of sequence vv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**3 + 2*b**2 + 124*b + 188. Determine s(-10).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94310 is divided by 31425.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 - -21.07. What is the nearest to 1\/3 in -1\/10, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -20*v**2 + v + 2. Let i(c) = -14*c**2 + 2. What is 3*h(j) - 4*i(j)?\nAnswer: -4*j**2 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-16)*w)\/w**(-21))\/(w**(-1\/27)*w\/(w\/w**(-1\/4))) assuming w is positive.\nAnswer: w**(679\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 19825 divided by -793\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g - 10. Let r be u(10). Let j = -267\/4 - -317\/4. Let y = -12 + j. Which is smaller: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (115\/((-4025)\/(-1260)) - 6) + -8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -111.096534 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4 and 26\/71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.0878227 + 385.287\nAnswer: 385.1991773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - 5*c + 8. Let i be ((-5)\/10)\/(2\/(-120)). Suppose 0 = -6*w + w - i. Let f be n(w). Solve 3*p = 2*q + 12, 0*p = f*p - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13.3 - -14. Let n = g + 2.3. Which is the closest to 2\/3?  (a) n  (b) 0  (c) -0.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10352 (base 7) in base 13?\nAnswer: -123b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 160\/50 - (-1)\/(-5). Suppose s = -o*s + 16. Solve 0*b + s = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -24*2\/4*-2. Suppose -3*l + 6 + u = 0. What is the units digit of (-16)\/(-5) - 2\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10313790 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2951882 by -2.\nAnswer: 1475941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.3454251l?\nAnswer: 345.4251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/8 - (-13 + 20 - 120\/12)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 902 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of -j**6\/120 + j**5\/10 + j**4\/6 + 13*j**3\/6 + 28*j**2. List the prime factors of x(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -6*(5*(sqrt(20) + sqrt(980)))\/(sqrt(30)\/(sqrt(36)\/sqrt(12))) + -2.\nAnswer: -240*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 532*h + 76*h + 47468 - 13420 = 0 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*y + 139*h - 144*h = -2*y + 290, 5*h = 4*y + 144 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + (3 - 2) - (10 + -23). Let k be (-16)\/(-14)*49\/h. What is the first derivative of -2*f**k + 1 - 5*f**4 - 13*f**4 wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -2*y - 2, -5*y = 5*p + 46 - 41. Solve p = 6*r + 5*r + 7*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6, 10, 4 in increasing order.\nAnswer: 4, 5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 519, 2083, 4691, 8343, 13039?\n\"Answer: 522*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1c (base 15) to base 2\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -212*x**3 + 2229 - 2229 - 7*x**3.\nAnswer: -219*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*p = 5 - 50 - 19. Suppose -3*s + 23 = 2*f - 2*s, 3*f - 45 = -5*s. Solve f = 3*t - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 51976 and 356.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 3002 = -3*p, 7*j - 5*j - 5*p = 1494. Suppose 1328 + j = 5*u. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-12)\/(-28) + (-135)\/21. Let t = c - -16. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 210*j + 211*j + 1206 = 0, -j = -2*n + 805. Solve 0 = -408*i + n*i - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 59095503, 59095500, 59095495, 59095488, 59095479, 59095468, 59095455?\n\"Answer: -k**2 + 59095504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of k**6\/120 + 19*k**5\/20 - 10*k**4 - 347*k**3\/3 - 131. Let i(r) be the third derivative of q(r). Let i(w) = 0. Calculate w.\nAnswer: -40, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 64484628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*n - 113*n - 137*n.\nAnswer: -342*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34703 - 34783 = 4*j for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yabbwaa. What is prob of sequence wy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27656?\nAnswer: 2, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5 + ((-15)\/(-9) - 36\/(-27)). Let s(q) = 594*q - 71. Is s(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -52 and 164.\nAnswer: -8528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 79 + -2419 + 2406\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -6, 3, 15 in decreasing order.\nAnswer: 15, 6, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, h: 1, u: 4, i: 1, l: 2, t: 2}. What is prob of picking 1 l and 1 o?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by -601?\nAnswer: 11\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-26)\/2)\/((2\/4)\/(((-36890)\/124)\/85))\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 32\/(1 - -3) + -310. Let u = -43 - i. Calculate the highest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35166 (base 16) to base 8.\nAnswer: -650546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q + 17. Calculate the common denominator of 11\/2 and p(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1804 divided by 902?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(3\/11)*m*(m\/m**(-2))\/m)\/(m*(m\/(m*m*m**(2\/5)*m*m))\/m*m**(-6\/7)) assuming m is positive.\nAnswer: m**(2899\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 614710 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z - 14. Let s be r(8). Let m(p) = -p - 1. Let i be m(s). Suppose 3*d - 56695 = i*v, 2*d - 5*v - 18895 = d. Round d to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-11) - (-4140)\/396?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.039 and -201887.\nAnswer: -7873.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1987 divided by 1864?\nAnswer: 1987\/1864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 242754 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 12:20 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23 + -18. Suppose 3*g = -x*v + 93 + 26, 5*g - 15 = -v. Suppose 5*j = 4*s - 88, 2*s - 5*j + j = 38. Is v greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 310785 is divided by 103589.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112112 = -38*x + 87*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 646584.\nAnswer: 2, 3, 29, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 3*d**2 - 10*d. Let b be l(5). Suppose b = i - 3*c + 13 - 2, 12 = -2*i + 4*c. Solve 4*t = -i*k + 8, -2*k - k - 14 = -t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (18\/15)\/(-1) + 1. Let z be 1\/(-1)*(2 - -1). Let l be 1 + (-92)\/100 + (-2709)\/1050. What is the second smallest value in l, z, -1, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 1)*(14779*z - 6894*z + 11376*z).\nAnswer: -38522*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122 (base 4) to base 5.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.144 - -30.024. Let o = u - 31. Let v = -0.12 - o. Is v smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 68751, 68732, 68729, 68742?\n\"Answer: 8*c**2 - 43*c + 68786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(1\/2))**(-43)\/(l\/l**(-1\/4))**(2\/53) assuming l is positive.\nAnswer: l**(-1142\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 92 - 29. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of -d**4\/2 - d**3\/3 - 839*d**2\/2 + 7335*d + 3257. Differentiate k(b) with respect to b.\nAnswer: -6*b**2 - 2*b - 839","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0  (b) -4  (c) 3  (d) -0.008\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18047?  (a) -1\/7  (b) 3  (c) -5  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 48*h**2 + 103*h - 96. What is v(50)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -343*a**2 - 336*a**2 - 3*a**2.\nAnswer: -682*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 16 = 2*o, 6*l - 32 = 3*o - 5*o. Solve 9*g + 8 = -h + l*g, h - 2*g - 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/705165 and 97\/846198.\nAnswer: 4230990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.2 + 1.5. Let l = f - 0.1. What is the second biggest value in 2\/19, l, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 86\/8 + 3\/(-4). Suppose -2*x = 8 + 2, -k + 2*x = -y. Factor -2 - 2*n**3 + 2*n**2 + 2*n + k*n**3 + 0*n**2.\nAnswer: -2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -5*j**2 + 5*j + 1. Let r be (-99)\/(-18)*(0 + 2 + 0). Let m(z) = -9*z**2 + 9*z + 2. What is r*g(p) - 6*m(p)?\nAnswer: -p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -38\/5, 0.3, 3?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2691+-0.05504\nAnswer: -2691.05504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 53, 80, 107, 134, 161?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02931014055 rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 15*w**2 + 6 - 7*w - 2*w - 10*w - 2*w.\nAnswer: 3*(w - 1)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -597\/8 - 197\/24. Let w(m) = -18*m + 7. Let p be w(5). Let a = p - r. Put -2\/5, a, 4 in descending order.\nAnswer: 4, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -7*i**2 - 18*i - 54. Let n(z) = 27*z**2 + 69*z + 207. Let v(o) = 23*l(o) + 6*n(o). Let m(q) = 16*q + 6. Give v(m(y)).\nAnswer: 256*y**2 + 192*y + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 802 divide 13345280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 9*j**2 - 3*j + 3. Let o(v) = 8*v**2 - 2*v + 2. Let s(z) = -3*o(z) + 2*r(z). Let c(n) be the second derivative of 7*n**3\/6 - 183*n. What is c(s(w))?\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 77993160891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -7. Sort 0, 5, -1, m in ascending order.\nAnswer: m, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s - 4. Let n be r(6). Suppose 18 = n*y - 20. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*r + 8*r = 27*r - 4*c + 21, -22 = -2*r - 4*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*1 - (-77 + 71).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 74 - 74.07. Which is the third biggest value?  (a) p  (b) 0.3  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -234044*x**2 - 4*x + 2*x + 234045*x**2 - x**3. Let u(p) = -3*p + 1 + 8 + 4*p. Let c be u(-7). Give n(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36532 (base 8) in base 15?\nAnswer: 49c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -4 + (sqrt(22)\/(3*sqrt(1100))*-6)**2.\nAnswer: -148\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-3\/2))**(3\/7))**(-10\/9) assuming b is positive.\nAnswer: b**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 121\/4 - 30. Let l = 452 + -423. What is the second biggest value in l, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10276, 20537, 30812, 41107, 51428, 61781, 72172?\n\"Answer: q**3 + q**2 + 10251*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.14162 rounded to two dps?\nAnswer: -6.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 + 7*q + 4. Let i(w) = w**3 + 18*w**2 - 20*w - 23. Let a be i(-19). Let h be 13\/(39\/(-18)) - a. Let p(g) = -g**2. Let n be p(h). Give l(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t\/t**(-37\/4))\/t*(t\/(t\/t**(1\/4)))\/t)**(-36) assuming t is positive.\nAnswer: t**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + (-36)\/20)*(24349\/(-897) - -27)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/((i*(i**20*i)\/i)\/i))\/(i\/i**18))\/((i**(-17\/4)\/i)\/i**(1\/7)))**(-50) assuming i is positive.\nAnswer: i**(-2375\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1272309 is divided by 710?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 768*q + 0 - 1\/3*q**4 + 97\/3*q**3 - 800*q**2.\nAnswer: -q*(q - 48)**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 2.9. Suppose 50*w - 515 = -53*w. What is the closest to u in 3, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b - 4. Suppose -5*k - 4 = 21. Let a(w) = -3 - 2 - w + 3. Calculate k*a(r) + 3*q(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12032032 - 102?\nAnswer: 12031330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7720 and -8.\nAnswer: 61760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 AM and 10:42 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -19 - 18?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -524, -2067, -4620, -8183, -12756, -18339?\nAnswer: -24932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 13\/8 of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d - 2*d + d + (1 - 4 + 2 + 2 - 4 + 1 + (0 - 2 + 1)*(-3 + 3 + 2) + 0 - 2 + 7)*(0*d + 2*d + d) - 2 + 2*d - 2*d - 2*d.\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 17985 = -19*w + 16*w, 0 = -r - 5*w + 5975. Let n be (7\/2)\/(1\/2). Let y be n\/(7\/r)*400. What is y rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3146)\/(-7) + (-51)\/119. Suppose k = 3*s + 455. Suppose -2*y = 0, -2*y + 5 = -5*o - y. Sort o, s, -5 in increasing order.\nAnswer: -5, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 61*x**3 + 6*x**2 + 3*x - 6. Let z(f) = -60*f**3 - 5*f**2 - 2*f + 5. What is -5*s(g) - 6*z(g)?\nAnswer: 55*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -7515 (base 9) to base 13\nAnswer: -268a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/8, 2\/7, 0.2 in descending order.\nAnswer: 2\/7, 0.2, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 12 = -k, 0 = -2*j - k - 2*k + 24. Solve -17*r = -j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84.36485637 - -29.73\nAnswer: 114.09485637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 25 = -3*x + 2*u, -u = 4*x - 16. Suppose -x*w = -5*w + 5*g + 12, -5*g = -4*w + 14. Let h be (5\/3)\/((-2)\/6). Sort w, h, 2 in increasing order.\nAnswer: h, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 0.145.\nAnswer: -0.0435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 12*n**3 + 7*n**2 - 2*n. Let a(h) = -13*h**3 - 8*h**2 + 2*h - 1. Let j(p) = -5*a(p) - 6*x(p). Let q be j(-2). Let r = 59 - q. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -103.908 - -94.9. Let g = z + 9. What is g rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 0.03  (c) -143  (d) -4  (e) -2  (f) -145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 73 + (0 - -6 - 3). Differentiate -b*t - 96*t + t + 156 wrt t.\nAnswer: -171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -24. Let o = 6 + -3. Suppose -o*t + 12 = -3*v, t + v - 5 + 1 = 0. Sort 5, t, h in decreasing order.\nAnswer: 5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*w = w - 1, -4 = -4*u - 3*w. Let g = 2 + u. Suppose -1645 = g*b - 8*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1117*o**3\/7 - 318*o**2 - 1101*o\/7 + 8\/7 = 0. What is o?\nAnswer: -1, 8\/1117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - 0 - 6\/(-1). Let z = 19.13 - 18.63. Which is the closest to -1?  (a) -3  (b) -0.3  (c) z  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y**3 + 2*y**3 - 3*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 852?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*y**2 + 61*y**2 - 44*y**2.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -47*i - 114*i - 6*i. Let a(d) = 18*d**2 - 21*d + 7. Let p(l) = 10*l**2 - 12*l + 4. Let o(b) = 4*a(b) - 7*p(b). Give h(o(m)).\nAnswer: -334*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 276 = 135*m - 112*m. Let p(o) = 6 - o**2 + 0 + 7*o + 3 + 0*o. Calculate the smallest common multiple of p(7) and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(6\/13)\/d*d**(-3\/2)*d)\/((d*d**15)\/d**(-8\/7)))**(26\/9) assuming d is positive.\nAnswer: d**(-1103\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 809 a factor of 165712445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddkk. What is prob of sequence kk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-48)\/(-944)*(-2)\/3. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 7) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -21, -52, -77, -96?\n\"Answer: 3*s**2 - 40*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 29*g. Let o(x) = 29*x. Suppose 56*j + 472 - 248 = 0. Determine j*p(n) + 6*o(n).\nAnswer: 58*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(2448) + 0 + 2 + -5)**2 + 2.\nAnswer: -168*sqrt(17) + 2499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3156 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -370620 = -16*f - 126*f. Calculate the highest common divisor of f and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6194 and 798?\nAnswer: 130074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2739 - 526. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -15, 0.5, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/2, 1\/9, -3, 10, 1793, 0.03?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 5*s**2 - 18*s - 23. Give d(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21024315 (base 6) to base 7.\nAnswer: -5120504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2333507299 rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3d + -3?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 111, 167?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 5 + 3*a**2 - 1 + 19*a**2 + 1 + a. Let z be (-9 + 14)*(-1 + (-4)\/(-10)). Does 40 divide f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - 5*g**2 - 7*g - 2. Let y be u(-4). Let s be y\/(-7) - 0 - -1. Which is the nearest to 1?  (a) -1\/6  (b) -0.4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 9, y = 4*s - 4 - 19. Solve 5 = 3*l - 5*w - 1, 10 = s*l + 4*w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 8*y - 78. Determine z(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-585)\/30)\/(27\/(-18))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1507698503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-11)\/((-165)\/(-10)) - (-7 + 153307\/(-33))?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 200 and 246712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4673 or -4677?\nAnswer: -4673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14 + 66?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/15 or -162.08?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-130)\/65 - ((3795\/(-12))\/11 - 1\/4)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2100201021021 (base 3) to base 7.\nAnswer: 13442125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1699396 to the power of 1\/2, to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 61819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 - p + 22. Let c(l) = -14. Let a(t) = -3. Let o(b) = 18*a(b) - 4*c(b). Calculate 2*i(z) - 22*o(z).\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/640 and -5\/269.\nAnswer: 172160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1164174?\nAnswer: 2, 3, 11, 31, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of -s**8\/336 + s**6\/24 - s**4\/24 + 35*s**3\/6 - 6*s**2 - 4. What is the second derivative of x(b) wrt b?\nAnswer: -20*b**3 + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, 8, 9, 29, -11 in ascending order.\nAnswer: -11, 8, 9, 23, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -488.3 - 37.7. Let v = 517.12 + i. Let p = 9 + v. Which is the second smallest value?  (a) 1\/4  (b) p  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.0904 to two decimal places.\nAnswer: 2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1009 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 16*i**2 + 137*i**2 - 36 + 53*i**2 + 36. Let r(p) be the first derivative of p**3\/3 + 13. Calculate m(r(o)).\nAnswer: 206*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8.9 + 9. Sort 0, h, 1.\nAnswer: 0, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + 3)\/(((-2)\/(-5))\/(-1)). Let i(l) = -7*l**2 - 2*l + 1. Let d(j) = 6*j**2 + j - 1. Calculate t*d(g) - 4*i(g).\nAnswer: -2*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccn when three letters picked without replacement from {c: 2, v: 4, g: 2, n: 6, u: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of -23*d**2 + 20*d + 17. Let w(t) = 15*t - 7. Let g(a) = -17*w(a) - 6*y(a). What are the prime factors of g(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27 + -15. Suppose 3*v + 0*p - 64 = 2*p, -116 = -5*v + p. Suppose 3*j = -3*t + 63, -t + 2*j = -0*t - v. What is the remainder when t is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 3*p + 4*s = -42, 4*p = 4*s + 60. Suppose -p*a = -20*a + 32. Suppose 7*d - 26 - a = 0. What is the smallest common multiple of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 117.6 in -5, -1, -4, -4\/29?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 504 + -839. Let x = n - -334. What is the nearest to 1 in 2\/5, 5, 4, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(11)*2)**2*3 - 6*sqrt(44)\/(-4*sqrt(4) - sqrt(4)))*-2*-3.\nAnswer: 36*sqrt(11)\/5 + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 21, 113, 273, 507, 821, 1221, 1713?\n\"Answer: p**3 + 28*p**2 + p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -130*a**2 - 1041*a - 4. What is w(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(5184) + sqrt(5184) + sqrt(5184)*1 + 2*sqrt(1296))\/(sqrt(144)\/((-3*sqrt(96) - sqrt(96))\/sqrt(8)))*-6.\nAnswer: -1152*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4 - 1)*(-2)\/(-5). What is the remainder when 7 is divided by r*(-6)\/(2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -145\/99 - -14\/9. Let n(r) = -70*r + 1. Let d be n(-1). Let c = d - 567\/8. Sort c, f, 0.\nAnswer: 0, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -40409 - -40409.000040478. Round a to 7 dps.\nAnswer: 0.0000405","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5210 + 848 + q - 2153 - 8882 + 2621 in the form u*q + v and give v.\nAnswer: -12776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.5 - -8.5. Let m = h - 6.04. Let j = m - 1. Which is the second biggest value?  (a) j  (b) -0.4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 4*u - 15. Give z(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 - 42\/(-18))\/(2\/30). Let i be f + -1 + (-1)\/((-7)\/(-14)). Suppose i*c = -2*c + 20. Solve -2*h + 35 = -5*s, 5*s - 5 = c*h - 55 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171623354 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3 - d - 1 - 2 - 2. Let g be k(-7). Put -4, 0, g in ascending order.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16017*p**2 - 2926 + 2926.\nAnswer: 16017*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 21*t**3 - 21*t**2 + 65*t - 16. Let q(x) = -4*x**3 + 4*x**2 - 13*x + 3. Give -2*a(v) - 11*q(v).\nAnswer: 2*v**3 - 2*v**2 + 13*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(72) + -2*-2*sqrt(72) + sqrt(72) + 4*(1 + sqrt(72)) + 0)**2 + -3)*-4.\nAnswer: -28856 - 1920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*(79\/(-2) + -3). Suppose 0 = -4*l + 20, 0*i - 3*l + o = 5*i. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, c: 3}. What is prob of picking 1 c and 3 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/280 and 17\/320?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 4*f**4 - 11*f**3 + 4*f**2 + 3*f. Let h(v) = 4*v**4 - 10*v**3 + 4*v**2 + 2*v. Let a(n) = -3*h(n) + 2*o(n). Suppose a(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/1)\/((-16)\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/54*11\/((-88)\/(-24)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 309, 84, -285, -792, -1431, -2196, -3081, -4080?\nAnswer: -5187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y**5\/4 - 99*y**4\/4 - 417*y**3\/2 + 42*y**2 + 1728*y - 1536 = 0 for y.\nAnswer: -16, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0176610842 rounded to 4 dps?\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h**2 - 10*h + 6 + 0*h - h**2. Let o be r(11). Let s be (14 - o) + 8\/3. What is the closest to s in 2\/3, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/336 and -61\/1090.\nAnswer: 183120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.802 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/7 + 4\/14. Let m(k) = -8*k + 10. Let r be m(3). Let f be (0\/o)\/(-13 - r). Solve -a + 3*c = -0*a - 9, -3*a + 2*c + 6 = f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -110 by -110.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*l**2 + 6*l**2 + l**2)*(5*l**2 + 8*l + l**3 - 5*l**2) - l**5 + 0*l**5 - 4*l**5.\nAnswer: -12*l**5 - 56*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 1 = 7. Suppose 1 = -3*z + o. Let w = -3 + z. What is the closest to 0.1 in -2\/7, w, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -497 - -504.2. Let v = 12.2 - j. Let w = 5 - 6. Sort 1, w, v, -0.2 in descending order.\nAnswer: v, 1, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109019 <= 109020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 7:26 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 10) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 934693937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 59856, 239294, 538366, 957072, 1495412?\n\"Answer: 59817*c**2 - 13*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 301.152 months in years?\nAnswer: 25.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 3 - 5)*(-1 - h + 1) + 3*h - h + h + (-2 - 3 + 3)*(2*h + h - 4*h) + 51*h - 38 + 38 to the form g*h + y and give g.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 38 + 10. Let i = 86\/51 + -103\/51. Sort i, w, -0.2 in decreasing order.\nAnswer: w, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 3 = 4*b, a - 25 = 5*b. Let w be 5\/a*4*0. Which is smaller: -12 or w?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-35)\/(-330))\/(8\/(-16))*42*(-20)\/(-280)?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/32 and 99\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -111 - -168. Is (-94)\/(-6 - (-336)\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8838 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3643631 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, z: 3}. Give prob of picking 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -8*j + 27. Let h be y(3). What is the derivative of -6 - h + 2 - 34*x + 4 wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + 2*m + 9. Let f be p(-3). Let z be f\/(-2) + (0 - -94). Let x = z + -50. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ippiiimimpipmi. Give prob of picking 1 m and 3 p.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -133 + 381. Let h = v + -149. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-13 + 5)*(-4)\/4. Suppose -3*a + 7 = 5*v - 9, -5*v + a = -n. Find the second derivative of 4*s + s**4 + 5*s + 4*s**4 + v*s**4 wrt s.\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 3225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1836981371 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/(-6))\/(3\/(-9)). Let k = 5 + r. Suppose b - 6 - 8 = 0. Calculate the greatest common factor of k and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 550 divided by 275.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 14905824431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24*31\/(-1116)*((-18)\/(-4))\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 110, 1052\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6288514312 to the power of 1\/3, to the nearest integer?\nAnswer: 1846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*q**3\/4 + 345*q**2\/4 - 66*q + 13.\nAnswer: -(q - 13)*(5*q - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 108, 306, 644, 1128, 1764, 2558, 3516, 4644?\n\"Answer: z**3 + 64*z**2 - z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 14*c - 11. Let n be r(13). Is (2\/3)\/(6\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 10287 - 1551 = 0. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 114 + -89. What is the remainder when 90 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -465*h*x**4 - 8131*h*x**3 + h*x**2 - h*x - 41*h + 172*x**2 + 4*x wrt x?\nAnswer: -11160*h*x - 48786*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(468)*4 + sqrt(468))**2.\nAnswer: 70200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b**3 - 3*b**2 + 3*b - 3. Let v be l(3). Let o = v - -17. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 - 21*p + 3*p**2 - 2 + 12*p. Let r(x) = -2*x**2 + 5*x + 1. What is -7*r(g) - 4*s(g)?\nAnswer: -2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*(0 - 4\/(-36)*-3). Let r be b\/(2 - 5)*-6. Let n be (-10)\/(-8) - (-2)\/(-8). Solve -5*z - 4*i = -5, -z = r*i - 0*i - n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2311*z = 1006*z + 1130*z + 4200 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*l - 3*l**3 - 7703*l**2 - 2*l**3 + 7701*l**2 + 1 as m*l**2 + p + z*l + k*l**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -5*c + 167, -6*c = -10*c - 2*t + 132. Let b(p) = -30 + p - 4*p**3 + 67 - 2*p**2 + 3*p**3 - c. Calculate b(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -3*b**3 + 9*b**2 + 13*b - 7. Let q be z(4). What is the nearest to 0 in 73, 1\/4, 5, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 243 + -737\/3. What is the nearest to 0 in 0, m, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -155*w*x + 71*w wrt x.\nAnswer: -155*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -4*b**3\/9 - 42344*b**2\/9 - 42341*b\/9 - 10585\/9 = 0?\nAnswer: -10585, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of -l**8\/56 - 11*l**4\/24 + 9*l**2. Find the second derivative of t(c) wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 6 - 3 + 2*j - 2. Let a be (-2 - 7)\/((-2)\/2). List the prime factors of z(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 1113 = -4*r - 14*r. Calculate the remainder when 736 is divided by r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of 0 - t**2 - 4*t - 1\/6*t**3. List the prime factors of w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 13) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -5*j**3 - 9*j**3 + 5*j + 11*j**3 - 9*j**3 + 1 + j**2. Let t be b(-4). What are the prime factors of (t\/(-18))\/(2\/(1*-4))?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, -2\/49, -3\/172, 0.5 in decreasing order.\nAnswer: 31, 0.5, -3\/172, -2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 14*13\/(-65)*(-100)\/(-8)*21\/15\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 91, 182, 259, 316, 347, 346, 307, 224?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7395 and 145095.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 3*x + 3*g - 12, -5*x = -2*g - 27. Suppose x*j = 3*i - 6*i + 29, 3*j - 5*i = -3. Let r = -3 + 4. Solve -3 - r = j*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -7*m**2. Let v(x) be the third derivative of -x**5\/60 - 50*x**2. Calculate v(d(b)).\nAnswer: -49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*2\/8*0)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 12749*i**3 + 3*i**2 - 3*i + 2. Let c = 2 - 0. Let r be x(c). Round r to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*g + 21*g + 3*z = -29*g + 4406, -2*g - 4*z + 108 = 0 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {n: 1, u: 2, a: 2, x: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -848*x = -805*x - 387 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 + 14*z**3 - z + z**2 + 1. Let x be d(1). Suppose -49 = -5*y - x. Solve y - 3 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2293, 4584, 6881, 9190, 11517, 13868, 16249?\nAnswer: 18666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1436\/209 or 8?\nAnswer: 1436\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -46767, -46773, -46743, -46665, -46527, -46317, -46023?\n\"Answer: 2*f**3 + 6*f**2 - 38*f - 46737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104917864?\nAnswer: 2, 307, 42719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + b**2. Let k(l) = 2*l**3 - l**2 - l + 1. Suppose 0*i + 2*g + 1 = 3*i, 0 = -2*i - g - 4. Calculate i*k(o) - c(o).\nAnswer: -3*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhvv when four letters picked without replacement from {v: 4, n: 1, h: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -43*x**2. Let c(k) = -9*k. Let q(m) = -8*m. Let o(w) = 6*c(w) - 7*q(w). Calculate v(o(i)).\nAnswer: -172*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/9?  (a) 3  (b) 610  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, p: 1, k: 2, v: 4, u: 2, j: 1}. What is prob of picking 2 v and 1 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 1:14 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/6)\/s)\/s**(1\/4))**14*(s*s**(-2\/5))**(-1\/2)*((s\/(s\/s**0)*s)\/s)**(-3\/8) assuming s is positive.\nAnswer: s**(-232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 187046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4210652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 586123567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of 17570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -21515215, -43030431, -64545647?\n\"Answer: -21515216*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -0.197, -0.05, -9, 3, 0.4?\nAnswer: -0.197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - 7. Suppose 0 = 9*k + 6 + s. Let i be (0 - k)*1 + (0 - 1). Solve -4*t = -i*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 22 - 4. Suppose 2*p - 4*p = 3*y - u, -5*y - p + 24 = 0. Let b(i) = -2*i + 2. What is b(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2656299*f**3*x**2 - 3*f**2*x**2 + x**2 - 5*x - 33520 wrt f?\nAnswer: -7968897*f**2*x**2 - 6*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - i + 14383 = 10*t, -t = -3*i - 2867. What is the remainder when t is divided by 1437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*((-18)\/(-16))\/9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -2*u**2 - 19 + 0*u + 0*u**3 - 1\/8*u**4. Let x(a) = 3*a. Give x(o(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2012022 (base 4) to base 8.\nAnswer: -20612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wdwdddddddd. What is prob of picking 3 d and 1 w?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 85 + -94.4. Let j = 9 + n. Let y = -62.8 - -62.8. Which is the nearest to y?  (a) j  (b) 2  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fsif when four letters picked without replacement from ilfailisasfflilff?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 0 - (-14 + 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= 8\/415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 202 - 158. Calculate the remainder when 86 is divided by h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-1 - (-6 + -7 + 31 - 13))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 (base 9) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-a + 2*a - 3*a)*(-2 - 3 + 3) + (34 + 17 - 14 + 98)*(-a - 2*a + a) in the form k*a + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + -7. Let f(u) = -u**2 + 6*u + 1. Let g be f(7). Let d be (-2)\/(-8)*(-9)\/g. Which is the nearest to k?  (a) -5  (b) -1\/3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -306 divided by 3\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 594509 and 6605503?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 7*a - 2. Let c be t(-2). Suppose -9 = -o - 2*b - 3*b, 4*o + 6 = b. Let r be c*987500\/(o + 3). Round r to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 235 = 3*o, g - o = 4*o + 19. Suppose -39*k - 5015 = -g*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1955 + -79.1045. Let h = i + 75. Let m = h + 4.244. What is m rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35876526.174345 - 35876370. Let o = -253.174414 + g. Let u = o - -97. What is u rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 11:34 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 2 z when four letters picked without replacement from {z: 2, h: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 39a - 17?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/36772 and 101\/1748572?\nAnswer: 50708588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -1, 5, 10.4 in descending order.\nAnswer: 10.4, 5, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/18  (b) 19  (c) 1686\/391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9\/5)\/(((-12)\/15)\/(-4)). Suppose p = 8*p - b*p. Solve 2*x = -2*s, p*x - 4*x = 5*s - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -249 - 4*o + 15*o**2 + 249 as f + w*o**2 + g*o and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w - 3. Let q(g) be the first derivative of 140 + g - 1\/2*g**2. Give 3*q(s) + z(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**0)**38*(i**(-2\/7)*i*i*i)**(-1\/13)*(i**(-5)\/(i\/((i\/(i*i*i**(-1\/2)))\/i)))**(-27) assuming i is positive.\nAnswer: i**(36817\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3651264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 26899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10116 and 89077?\nAnswer: 3206772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 207, 395, 641, 885, 1067, 1127, 1005, 641?\n\"Answer: -10*r**3 + 89*r**2 - 9*r + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 426 + 844*s**2 + s**3 - 845*s**2.\nAnswer: s**3 - s**2 + 415","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(1\/3)*u)**(-38)\/(u\/u**2*u)**(-8\/11) assuming u is positive.\nAnswer: u**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*l + 23*l + 210*l - 55915. Solve 221*o - 20 = l*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -179, -154, -125, -92, -55, -14, 31?\n\"Answer: 2*d**2 + 19*d - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = 5*i - 5, -i - 2*k + 1 = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**4 + 2*o**4 - 3*o**4 - 5*o + 5*o - 2*o**4 + (2 - o**3 - 2)*(-o + 2*o + o) - 526*o**4 - 2219*o**4 - 797*o**4.\nAnswer: -3545*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2*f - 3, -4*f + 4*k + 3 = 7. Let v be 75\/30 + f\/(-4). Solve 2*s + 0*s + 5*z = -10, 15 = -v*s + 5*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 18 = 2*h, 5*a - 2*h = 45 - 49. Solve 0 = 5*z + d + 19, 0 = a*z - 10*d + 7*d + 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1535 is divided by 477.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n + 152 = 170. Which is the nearest to 1?  (a) -0.1  (b) n  (c) -5  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1280 + -1266. Solve -8 = 3*w + 4, -4*w - t = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -4*q**2 + q + 1. Suppose -4*p + 5*r = -6, -p - 3*r - 1 = 6. Let x be g(p). Let h(m) = m**3 + 5*m**2 + 3*m - 4. Determine h(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 218851812 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - -2. Let p = 58 + -53. Let c(b) = -6 + 1 + p + l*b. Let s(t) = -2*t. What is c(s(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xawa when four letters picked without replacement from {t: 4, w: 1, x: 5, a: 3, d: 1, e: 3}.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.69 - -7. What is g rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 78205 by -78205.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r - r + 0*r)*(-1 + 5 - 2)*((3 + 0 - 2)*(2 + 1 + 0) + 0 + 2 - 1).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**6*z*(z*z\/z**(3\/8))\/z)\/(z**(1\/2)*z**2*z) assuming z is positive.\nAnswer: z**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1200, 2, -6, -5, 13 in decreasing order.\nAnswer: 1200, 13, 2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**3 + 55*w**2 + 50*w.\nAnswer: 5*w*(w + 1)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by -629\nAnswer: -11\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9068 and 625692?\nAnswer: 625692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 66979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 82?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d. Let l(q) = -31*q + 1. Let a(z) = 34*z - 1. Let n(p) = -2*a(p) - 3*l(p). Calculate n(f(r)).\nAnswer: 25*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.001816096 and 15019.\nAnswer: 15019.001816096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**2 + 21*s**2 - 3*s**2.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-315)\/(-12)*5110\/3577.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20324087*f**5 - 17523689*f**2.\nAnswer: -1219445220*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 4\/3. Let d = -28 + 27.98. What is the fourth biggest value in -0.1, d, n, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a**1*a)*a*a*a*a**7)\/(a*a**(-3\/2)*a*a**(1\/3)*a*a) assuming a is positive.\nAnswer: a**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3226 + -2956. Which is smaller: b or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/3600 and -27\/30175?\nAnswer: 4345200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f - 23. Determine i(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j - 8. Suppose -3*w - w - 24 = 0. What is the units digit of q(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/7  (b) 10  (c) -5  (d) 13  (e) -982\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -4.4, -0.5, -0.099, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 49260*f**2*s**2 - 4177*f**2*s + 10*f**2 wrt s.\nAnswer: 98520*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 take away 0.07578?\nAnswer: -0.27578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 3*l - l)*(-3 - 1 + 5) + 0*l + l + 0*l - 20*l + 0*l - 2*l + (-1 - 2 + 4)*(l + 3*l + 9*l) - 13*l - 7*l + 14*l.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3049*i - 445*i = -125784 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 62914926.\nAnswer: -1\/20971642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.7325 millennia in decades?\nAnswer: 1173.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5872, -5865, -5844, -5803, -5736, -5637, -5500, -5319?\nAnswer: -5088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1134 is divided by 53?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 1, b: 2, q: 2, i: 10, x: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 1400*g = -1398*g - 18, 5*j + 5 = -g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -12*d**2 - 70*d + 218. Let y(b) = 6*b**2 + 34*b - 109. Let c(x) = 2*n(x) + 5*y(x). Is c(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -6*f**3 + 6*f**2 - 23*f. What is the units digit of h(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -291, -283, -271, -255, -235, -211?\n\"Answer: 2*o**2 + 2*o - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 - 38. Let d = 22 - h. List the prime factors of d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 - 8*z**2 - 8*z - 64. Let i be t(-8). Let b(h) be the second derivative of 2*h - 9\/2*h**2 + i + 5\/6*h**3. What is the derivative of b(k) wrt k?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2050 and 44225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -1 - 0)*702\/(-936).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 57 + -32 + 166 + -104\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b*l**3 - b*l + 2*b + 662345*l**3 + 6*l - 136 wrt l?\nAnswer: 12*b*l + 3974070*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 76*r - 25. Let x be g(4). Suppose 280*w - 5 = x*w. Suppose 1\/4*u**3 + 0*u + 0 + 1\/4*u**4 - 1\/4*u**w - 1\/4*u**2 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 84\/(-98)*(-175)\/40 + -3*1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m - 15. Let h be f(6). Let u be ((144\/15)\/4)\/(h\/(-180)). Let v(k) = -7 + k + u - 9. Let w(a) = 10*a. Calculate v(w(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1920 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ytbgtgttgbtbbbxg. What is prob of sequence tybx?\nAnswer: 5\/8736","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u**3 + 0*u + 3*u - 5 + u**3 - 3*u**2 + 2*u**3 + 0. Let k(r) = 0*r**2 - 2*r + 4 + 3*r**3 + 2*r**2 - 7*r**3. Calculate 3*k(x) + 2*n(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**4 - 388436*l**3 - 12602028384*l**2 - 137509116126976*l - 29778202178177024.\nAnswer: -4*(l + 221)*(l + 32296)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1940371 (base 13) to base 14\nAnswer: 1158997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 - -19. Let t be 1120\/(-63) - x\/(-9). What are the prime factors of ((-36)\/t)\/(2\/(1*6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, -2.89, 1?\nAnswer: -2.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 4*y = -849 + 793, 0 = -5*y + 5 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/105*(8 + -13)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (149 - 154) + (68\/22 - -2)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d + 5*d - 100 = -4*h, 4*h = -4*d - 60. Suppose 2*n - n = -24. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 29, 38, 51, 68?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 531161\/494945 - 4\/8999. Let w = -85\/99 - 15\/11. What is the common denominator of w and x?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -z**4\/24 + z**3\/6 - 5*z. Factor v(f).\nAnswer: -f*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 50 = 17*d. Let i = d - -9. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19123 - -27717. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 + 6 - 10)*(7 + 7 + 1)*(-l**3 - 6*l**3 + 4*l**3) to j + z*l**3 + s*l + p*l**2 and give z.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -441739, -441715, -441659, -441559, -441403, -441179?\nAnswer: -440875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*c - 3 - 4 - 5*c + 4 + (-c + 4*c - c)*(3 - 3 - 1) - 18*c - 9*c + 9*c + c + 4*c - c)*(2 - 1 - 2).\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-405)\/55 - -5 - (-1 + 3)\/(-1).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2664.014823 - 2664. What is q rounded to four decimal places?\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 5987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of -81*w**2 + 0 + 0*w**3 + 0*w + 1\/8*w**4. Let y(i) = -6*i. What is x(y(g))?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4489 take away 0.12?\nAnswer: -4489.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5933, 47781, 161405, 382709, 747597, 1291973?\nAnswer: 2051741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 8*p - 8. Let h(b) = 7*b - 7. Let v(t) be the first derivative of t**3\/3 + 3*t**2\/2 + 5*t - 66. Let a be v(0). Give a*f(z) - 6*h(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10) - (sqrt(90) + 3*sqrt(90))\/sqrt(9))\/(-2*sqrt(5)*2).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - (2\/(-10) - 114\/(-45)). Let s be ((-2)\/(-32))\/(3\/(-12)). Which is the nearest to 1\/3?  (a) s  (b) 3\/4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 6) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -988957 - 2904465 = -327*c - 819295. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*-3.1\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 3:08 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**1)**(-4\/9)\/(y**(2\/3))**44)\/((y**1*y)**(-17)*((y\/(y**4\/y))\/y)\/(y**0\/y)) assuming y is positive.\nAnswer: y**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 20*a**3 + a**2 + 2*a + 4. Let y(c) = -22*c**3 - 2*c**2 - 3*c - 5. Give -3*i(d) - 2*y(d).\nAnswer: -16*d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - v + 1 = 0, 2*y - 4 + 2 = -5*v. Suppose n = 1 + y. Solve -3*m - 5*s = -n - 2, 17 = 5*m - 2*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 4*h + 2. Let n be r(-4). Let k be 68\/(-42) - n\/(-7). Let q = -12 + 7. Which is the third biggest value?  (a) 1\/3  (b) k  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 212000110122011 + 1011?\nAnswer: 212000110200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2 + 396*h - 397.\nAnswer: (h - 1)*(h + 397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 2:10 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w**3 + 373020*w**2 + 54380985*w + 1983933410 = 0 for w.\nAnswer: -74458, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*n**5 - 4*n**4 + 32*n**2 - n**4 - 17*n**4 + 5 - 4*n**4 wrt n.\nAnswer: 120*n**2 - 624*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.26 - 0.06. Let v = -7\/8 + 75\/104. Let s be (-9)\/(-6)*3\/(-9). Which is the nearest to -2?  (a) g  (b) s  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35 + -28.2. Let m = 0.75 + 4.05. Let d = z - m. What is the closest to -0.1 in -0.5, d, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 4*l**3 + 7*l + 3. Let n(z) = 0*z**3 - 5*z - 2 + 2*z**3 - 5*z**3. Calculate -7*n(i) - 5*w(i).\nAnswer: i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*t = 41*t + 208. Calculate the remainder when 280 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**2 + 4*j + 1. Let h = 79 + -73. Determine q(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*v - 81*v - 293*v = 34715 for v.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -91 - -246. Let z = -383 + t. Let c = -227.9743 - z. What is c rounded to 3 decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**2 + 6521 - 13053 + o**2 + 7*o**2 + 6532.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(((a\/(a**19\/a*a))\/a)\/a)*a)**42\/(a\/(a*a\/(a**(-2)*a))*a\/(a\/(a\/((a*a**20*a)\/a*a)))) assuming a is positive.\nAnswer: a**989","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 98 - 69. Let f = -8 + z. Calculate the common denominator of (2\/(6\/(-5)))\/((-5)\/(-25)) and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149*u - 146*u - 5*g - 429 = 0, -g = -u + 143. Let p(j) = 13*j**2 + 2*j. Let w be p(-1). Calculate the highest common divisor of u and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -6 - -4 - (1 + -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6757213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-140)\/27)\/(-5)*(-399)\/1064*-3.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - (4 + 12 + -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 1720135, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 15, 1267575 in decreasing order.\nAnswer: 1267575, 15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 13*r**2 - 4*r + 25. What is i(-12)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, c: 1, k: 2, p: 2, z: 1, e: 5}. Give prob of sequence uzuk.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1389 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 300322783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 6 = 2*w. Let i be (14\/(-3))\/((-8)\/w). Suppose 0 = j + i - 1. Calculate the common denominator of j and -34\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21352 times 2\nAnswer: -42704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -5*a**3 + 45*a**2 + 50*a = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -58\/13?  (a) -3\/7  (b) -0.3  (c) -2  (d) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 4*b - 4. Let t be i(2). Suppose 2*y = t - 24. Are y and -9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -333833366 divided by -166916683.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 5*v**4 - 15*v**3 + 85*v**2 - 125*v + 50. Let w(j) = j**4 - j**3 + j**2 - j. Let c(n) = g(n) - 10*w(n). Determine a, given that c(a) = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -h - y + 15, h + y - 11 = 0. Calculate the highest common divisor of h and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72349 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d**2 - 11*d + 13*d + 10*d - 7*d - 4*d - d - 3*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 4*j - 168, 0 = 5*z - 4*j + 182 - 560. Suppose -f = q + 27, 4*f - 5*q + 50 = -85. Let w = z - f. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**3 - 48289*v**2 + 1256030*v - 7730400 = 0.\nAnswer: -48315, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64860*j - 64880*j - 320 = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rreeeee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -260*6\/(-396) + 14\/231?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 71272 and 944?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**2)**(-7))**(19\/5) assuming b is positive.\nAnswer: b**(-266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, 3, 4, -926 in decreasing order.\nAnswer: 4, 3, -4, -5, -926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and 4.9233.\nAnswer: 24.6165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/17?  (a) 16\/155785  (b) -2\/23  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11923.054 rounded to the nearest one hundred?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/6*w**2 + 722\/3 - 38\/3*w.\nAnswer: (w - 38)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 65598460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -45 + 45.000031. Round c to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20451*t + u + 4 = 20446*t, 6*u + 58 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 h when three letters picked without replacement from {m: 2, h: 1, q: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 20111202020 (base 3) in base 11?\nAnswer: 88294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2 - 1) + 120\/2?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -11*w - 1. Let i be b(-2). Suppose -5*c = -k - i, -c - 3*c - 2*k + 14 = 0. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -5*q**2 + 6*q - 14. Let l be u(2). Is l bigger than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/766490 and -45\/14.\nAnswer: 5365430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-661)\/(1\/(-7)*(-111)\/(-222))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 10:05 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*l**2 + 2*l + 10 + 10*l**2 + 7*l**2)*(4*l**2 + 4*l**2 - 5*l**2) as i + o*l**3 + s*l + v*l**4 + f*l**2 and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r - 2*r - 362*r**2.\nAnswer: -362*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.2, -94.09 in decreasing order.\nAnswer: 4, -0.2, -94.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 2906147.\nAnswer: 4\/2906147","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence unu when three letters picked without replacement from {n: 7, u: 4, p: 6}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000257402 to seven dps.\nAnswer: -0.0000257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11211*w + 1071*w**2 - 1069*w**2 - 4606*w)*(-4*w**2 + w**2 + 5*w**2).\nAnswer: 4*w**4 - 31634*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 PM and 10:17 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of -x**7\/168 + x**6\/20 + 41*x**5\/80 - x**4\/8 - 5*x**3\/3 - 1669*x. Find t, given that v(t) = 0.\nAnswer: -4, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -49 at least as big as 42\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-45)\/(-20))\/(-3))\/((-6)\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3296\/28875 + 26\/1375. Let r = 0.3 - 0.1. What is the smallest value in 10, r, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.065 times -4\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 195, 298, 413, 546, 703?\n\"Answer: o**3 + 96*o + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**3 + 2*i**3 - i**3)*(-2 + 2 - 2*i)*(1 + 345*i - 7 - 426*i).\nAnswer: -162*i**5 - 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -4*s**2 + 41*s - 150. Let d(l) = -3*l**2 + 42*l - 151. Let u(x) = -3*d(x) + 2*f(x). Differentiate u(z) with respect to z.\nAnswer: 2*z - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 60\/(-45) - (-2)\/6. Let k(v) = 0*v**3 + 5*v + v**3 - 1 - 4*v. Let s(x) = 9 - 8*x**3 + 7 - 5 - 1 - 2*x**2 - 8*x. Determine n*s(h) - 10*k(h).\nAnswer: -2*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m - 3. Give u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 221 + -132. Suppose j*i - 83*i = 2814. Is 67 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/(-144)*9\/(-6)*(-12)\/30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.08 * -1064\nAnswer: 85.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 i when three letters picked without replacement from {a: 8, g: 2, o: 2, i: 1, f: 2, n: 5}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d = -17*d + 1. Let y(n) = 49*n**2 + 9*n - 8. Let q be y(d). List the prime factors of 3 + q\/(-4)*-6.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3021 + -113?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and 792.\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 + 7*w**2 - w**2)*(-43007*w + 20867*w + 18892*w).\nAnswer: -19488*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -216600*v**4 + v**2 + 1139802 wrt v?\nAnswer: -866400*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2806 (base 12) in base 14?\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s\/s**(2\/5))**(-8\/9))**(-6\/5))**(-4\/9))**(-31\/4) assuming s is positive.\nAnswer: s**(496\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -105560260 and -0.3?\nAnswer: 31668078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168 is divided by (1734\/(-24))\/17*-8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 576623\/4550017 + -9\/11461. Calculate the common denominator of c and -41\/3.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 2:11 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 24  (b) -12220  (c) 1\/3  (d) 1  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-34)\/357)\/((-10)\/90).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6c74c79 - 6?\nAnswer: 6c74c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*((-99)\/(-88) - 1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 3*q + 10 = -248*h + 252*h, 73*q + 5*h - 1 - 5 = 70*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 - 17*n + 24. What are the prime factors of y(-15)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/1512 and 43\/20?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-333)\/(-37)*(-40)\/24.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -111 - -155cb7?\nAnswer: 155ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 98157852 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 7:40 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**3 + 180*r + 170*r - 3*r**3 - 673*r + 168*r + 155*r.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, -1, 977 in decreasing order.\nAnswer: 977, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 25610 rounded to the nearest 100?\nAnswer: 25600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of 1\/4*f**4 + 0*f**2 - 5 + 0*f - 2\/3*f**3. What is the third derivative of v(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54452462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6488251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.65 + -0.35. Let n = 2 - k. What is the nearest to 0.2 in 0.5, -2, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10110 + -13502?\nAnswer: -3372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 4:01 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7\/486 + 162859\/3402. Let j = -48 + y. Which is the fourth smallest value?  (a) j  (b) -1\/2  (c) -2\/25  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 6*n = 0. Let f be 2*((-179)\/(-89) - 2). Let u = -208\/1335 + f. What is the nearest to 1\/4 in u, n, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -314383 - a?\nAnswer: -314392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12566159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (6\/(-6))\/(2\/(-82)) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 4 + 20. Let g be 11\/3 - (-2)\/d. Suppose -2*f = g*f - 234. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59640 = -6*b + 3*b + 23*b. What is the remainder when b is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161168768?\nAnswer: 2, 67, 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*3*(4 + 4 + -2*sqrt(700)))**2.\nAnswer: -103680*sqrt(7) + 927936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x + 9*x + 5589 - 11177 + 5588.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v**3 + 61*v**2 - 37*v - 172. Let i be l(-31). Suppose -35 = -3*y + 112. What is the highest common divisor of i and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8548 - -8548.4. Let k = -10.5 + -2.5. What is the biggest value in i, -1\/8, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - b + 2*m - 116 = 0, 3*b = -3*m + 84. Suppose 5*x - 99*x + 2538 = 0. Calculate the lowest common multiple of x and b.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2*z = 4*z - 12, 4 = 4*u + 3*z. Let f be -21 + 6 + 1\/(u\/(-6)). Does 6 divide 2\/(-4) + 6 + (-966)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of 3\/4*d**4 + 77 + 0*d**2 - 4*d**3 + 0*d. Let s(o) = 0. Calculate o.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 9:48 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**(-22)*(c*c\/c**13)\/c*c*c assuming c is positive.\nAnswer: c**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/((-2)\/(-3)*3). Is (-3)\/(o + 1) - -82 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = y + 2*a - 2, -y + 7 = -a. Let x be (-5 + 7)\/(4\/y). Let q = -24 + 26. What is the greatest common divisor of q and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -123837 + 123828.2221. What is u rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4*z + 57 = 0, 3*w + 8*z - 171 = 7*z. What is the greatest common factor of w and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (16246\/(-76))\/(3\/6). Let c = s - -159583\/76. Let l = 1660 - c. What is the common denominator of 33\/29 and l?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -9  (b) 2\/3  (c) -0.3  (d) -0.4  (e) 6  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 546724 = 2535*o + 6501*o + 414300 - 716960 for o.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 162 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000058511837 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -2\/9, 1.21, 0.2, -0.1, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 207482473 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 75*2*4097\/61455.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 678*g - 43*g - 147*g + 122*g + 221*g to the form a*g + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c - 2. Let i be l(3). Suppose y = i - 0. Which is smaller: y or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 + -42 + 28 - (1 - 11)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 143978, 143981, 143988, 143999, 144014, 144033?\n\"Answer: 2*g**2 - 3*g + 143979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 127 + -133 + 0 + 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -17*u + 5. Let g(h) = 16*h - 4. Let r(a) = -6*d(a) - 5*g(a). Let x(c) = -7*c + 3. Suppose -13*z - 288 = -31*z. Calculate z*x(n) + 5*r(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2164700 and 17900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 146\/2107 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -85 + 32 + 59 + 22.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 84\/49 + -17*105\/1190?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(112) + -1 + 0))**2.\nAnswer: -288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 112, 516, 1160, 2020, 3072, 4292, 5656, 7140?\n\"Answer: -4*d**3 + 144*d**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(2299) + -1)**2 - sqrt(19))*-3 + -2*sqrt(475)*-3*2)*3.\nAnswer: -648*sqrt(19) + 82800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*a + 227*a + 152*a.\nAnswer: 285*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65 + 42 + -47 + -35.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2156*t + 598. What is the ten thousands digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 85.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.5 + -0.3. Let m = 1 - -5. Suppose 5*i + 3*y = -11, -m = 2*y - 4*y. Which is the nearest to 1\/2?  (a) v  (b) i  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kfkfkkkfkffkkffkfkkf. What is prob of sequence kfkk?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60315 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4198004?\nAnswer: 2, 43, 24407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -f**4 - 4780236*f**2 + f - 825038 wrt f.\nAnswer: -4*f**3 - 9560472*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-79)\/9 - 2\/9. Let y be (-2)\/(21\/s - -3). What is the remainder when 43 is divided by 1*15*(4 + y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from alvlpqp. Give prob of picking 1 p and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u + 7. Let s be o(-8). Let f = -13 - s. Solve 0 = -3*h + 4*j - 18, f*h + j + 2 = -3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1030023104 (base 5) to base 6\nAnswer: 114530550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -44?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3*c**2 - 2*c + 1. Suppose 4*y - 5 = 3. What is the remainder when 16\/(-24)*-18 + 3 is divided by s(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 12:05 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c**3 - 5*c**2 - 58*c - 329. What is the remainder when a(-5) is divided by 71?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15588*g**4*m - 45*g**2*m**3 + 2*g*m**3 - 96*g*m**2 + 8403*m**3 wrt g?\nAnswer: -187056*g**2*m - 90*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 + 882\/(-504) + 29\/(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 104319 and 5427.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -41\/2 in 0.1, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 100 + -125. Let z = y + 27. Which is the second smallest value?  (a) z  (b) -1\/2  (c) 5  (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*m - 13 - 33 + 304*m**2 + 283*m**2 - 585*m**2.\nAnswer: 2*m**2 - 40*m - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/3  (b) -1\/7  (c) -1\/3  (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(25\/4))\/q*(q**19\/q)\/q)**(-31) assuming q is positive.\nAnswer: q**(-2883\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/3)\/(24\/(-16)). Let m = 2.9 - 16.9. Let b = m + 10. What is the biggest value in b, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.9 and -6841.70892578.\nAnswer: -6839.80892578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 38266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -4567.\nAnswer: -913.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -232 (base 9) to base 16.\nAnswer: -bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20648225 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -131721*l**2 + 3448*l - 131712*l**2 + 263436*l**2 in the form w*l**2 + c*l + o and give c.\nAnswer: 3448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -8*o**2 + 17*o - 5. Let y(r) = 4*r**2 - 9*r + 2. Let n(v) = 3*w(v) + 7*y(v). Is n(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 461679 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 3*n + 3*w + 5 = 0, -3*n = 4*w + 9. Let a(f) = -2*f + 7*f**2 + 3*f + 1 - 2*f. Is 7 a factor of a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2147971, -4295901, -6443829, -8591755, -10739679?\n\"Answer: c**2 - 2147933*c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + -1 - ((-16 - -34) + 27)) + 11?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -510 by -5.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 378 + -383. What is the second smallest value in l, -4, 0.5, 0, -39\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + 1 + (3 + 4 - 5)*(2 - 1 - 2))*(243 - 317 + 778)*(-2*s**2 - 2*s**2 + s**2) as v + i*s + b*s**2 and give b.\nAnswer: 2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.06 - 0.94. What is the nearest to 0 in w, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 164*s + 174*s - 458*s + 167*s - 179. Let x be t(5). Solve -d + 55 = x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2862.7 + -3007. Round d to the nearest integer.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18 by 291.\nAnswer: 6\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 879851669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.005119*-3.\nAnswer: -0.015357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-1\/3)\/s)\/(s**7*s))\/(s\/(s**(2\/15)*s))**46)**9 assuming s is positive.\nAnswer: s**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010111010001010101100 - 110?\nAnswer: -10010111010001010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -77873, -155749, -233625, -311501, -389377?\n\"Answer: -77876*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**4 - 133280*j**3 + 133277*j**2 + 266558*j = 0 for j.\nAnswer: -1, 0, 2, 133279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 15, r: 4}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2051 or -2050?\nAnswer: -2050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 (base 14) in base 12?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*f - 2. Let k be f\/2*37\/2. Let d = k + -9. Is -1 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + (-5)\/(-7) + 314\/1099. Solve -2*y + 26 = -f*g + 28, -2*y = -g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 + 7*q + 3. What is the units digit of d(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11992*p + 1806 = -6139*p - 5982*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14.5 - -13. Let g = u + 0.49. Round g to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 10:04 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d - 5. Let v be o(4). Let l = 0.3 - 0.2. Sort v, l, 0 in descending order.\nAnswer: v, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 1 + 3 - 5 + 23*u - 5. Suppose s - 18 - 16 = 0. Let q(x) = 4*x - 1. Let j = -10 + 4. What is j*z(d) + s*q(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 35554 or 21961?\nAnswer: 35554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**2 - 3*v - 1. Let s be q(-2). Suppose 5*o + s = 53. Let u(g) = -2*g - 5. What is the least common multiple of o and u(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is bb906 - -34?\nAnswer: bb93a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 0*x = -776. Suppose -3*h + o + x = 112, -2*o + 176 = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83.07619 millennia to months.\nAnswer: 996914.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q - 5. Let p(y) = -1. Let u(o) = 5*p(o) - z(o). Let w(r) be the first derivative of -r**3\/3 - 11. Give u(w(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.08 + 0.08. Let x be -2 + 0 + 3 + 3. Put z, -1\/3, x in descending order.\nAnswer: x, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*(-15)\/(-5))\/(-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 11, -5, 22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 1 = -y - 0*s, -2*y + 3*s - 9 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7205 divided by -4?\nAnswer: 7205\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of -3*c**6\/100 + 47*c**5\/150 - 23*c**4\/30 + 8*c**3\/15 + 20*c**2. Suppose f(y) = 0. What is y?\nAnswer: 2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 5*c - 23524, -4*c + 19649 = -g + 840. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 49568247\/1247 - 39750. Is -1 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of -c**4\/12 + 2*c**3\/3 + 23*c**2. Let f be v(0). Solve 4*i + 5*j = j - 28, 2*i = -f*j - 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h + 4. Let u(s) = -18 + 38 - 21. Give m(z) + 2*u(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + 5*l**2 - 3*l - 4. Let b be f(4). Suppose 5*p = 5*i - 187 + 762, 5*p + 5*i - 625 = b. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -36*a**2 - 30*a + 17. Let k(v) = -17*v**2 - 15*v + 8. Calculate 6*i(y) - 13*k(y).\nAnswer: 5*y**2 + 15*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 2*l = 4, -8*u - 3*l = 5 - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 109758 and 21186?\nAnswer: 35232318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/24366 and 28\/2745.\nAnswer: 22294890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1 - 4744*a**3 + 4.\nAnswer: -4744*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1614 or 1616?\nAnswer: 1616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -1792*c - 69801. What is t(-39)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c - c**2 + 0*c + (2*c - 3*c + 2*c)*(2*c - 4*c + c) + (4 - 4 - c)*(5354*c + 3275*c + 1861*c).\nAnswer: -10492*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5  (b) -3\/7  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 2*n + 36 = -3*o, 6 = -3*o + 5*n. Let q(k) = -22*k - 7. Let p(x) = -21*x - 7. Let c(v) = 4*p(v) - 3*q(v). Is c(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152*j = 140*j + 468. What is the remainder when j is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2. Let y(n) = -n**2 + 5*n. Let w(z) = 24*z. Let g(m) = 3*m. Let v(p) = -33*g(p) + 4*w(p). Let q(k) = -5*v(k) - 3*y(k). Give q(f(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 10928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1482904384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 2) + -1 + 221\/102.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1960669493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -k**3*r**3 + 565688*k**2*r**3 + 374778*r**3 wrt k.\nAnswer: -3*k**2*r**3 + 1131376*k*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - (12 - 9 - 16 - -18 - -10)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 + 0 + 2*b**2 - 3)*(0 + 0 - 7*b + (b + b + 0*b)*(-3 + 0 + 1)).\nAnswer: -11*b**3 + 33*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - 1 - (-2397 - -2444 - (48 + 1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 4:09 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 + -20774038?\nAnswer: -20774038.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23302406 is divided by 429?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*r + 21*r - 4. Is r\/(4\/1528*(-8)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 46*g - 101. Let d(c) = 26 + 6 - 81 + 15 + 14 + 9*c. Suppose -i - 9 = 2. Let b(m) = i*d(m) + 2*o(m). What is the derivative of b(a) wrt a?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a - 1 + 2 - 1 - 3*a. Let v(k) = 11*k**2 + 205*k - 5. Let d(f) = 5*f**2 + 104*f - 2. Let r(z) = 5*d(z) - 2*v(z). Give n(r(o)).\nAnswer: -3*o**2 - 110*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 250*z**3 + 72536 - 72536 + z**3 + 1 - 1 + (-4*z**3 + 3*z**3 - z**3)*(-1 - 3 + 2) - 11*z + 11*z + 5*z**3.\nAnswer: 260*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -14*g**3 + 3*g**2 + 22*g - 13. Calculate m(3).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*r**4 + 2*r**4 + r**4 + (-4*r + 4*r - 2*r**4)*(4 + 1 - 6) + 3*r**3 - 3*r**3 + 2*r**4 + 3*r**4 - 4*r**4 + 12*r**4.\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/2, -0.333, 13?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1850 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1997236 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.20672 and -0.2?\nAnswer: 0.00672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -33, 0.3, 1\/4, -10, -3\/5 in ascending order.\nAnswer: -33, -10, -3\/5, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.01?  (a) 1  (b) -1\/2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2*(79 + 0))\/(2\/(-3)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1624.72*-0.3615.\nAnswer: -587.33628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6076514.\nAnswer: 2, 17, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 2*u + 1487, -l - 10*u = -15*u - 500. Let y be (l\/(-1250) - (-6)\/15)*2. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 414 a factor of 2186346420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4450286 is divided by 13907?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/66)\/(((-8)\/(-2))\/8).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 87\/4 of a litre?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 107120, 107129, 107138, 107147, 107156, 107165?\nAnswer: 107174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(-3) - 41\/267. Let p = 2175\/712 - c. What is the common denominator of 1\/(4\/(-9))*11 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 2*z**2 - 2*z + 4. Let l be u(-5). Let h = 91 - l. Solve -h = -b + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16889?\nAnswer: 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -22*p**3*w - 288*p**3 - 3*p*w wrt w?\nAnswer: -22*p**3 - 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + i - 2 = 0, -3*u + 2*i - 3 = -0*i. Suppose 0 = 5*r - 9 - u. Suppose 12 = 2*t + r*t. Solve -t*j - j = 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2442 - 2472 = 3*s. Suppose 0*b + 2*b = -4*a + 16, 3*b - 5*a - 2 = 0. Sort s, 2, b, -4.\nAnswer: s, -4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from apaeapnkkpp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -0.5  (b) -5\/83  (c) 4\/5  (d) 3\/5  (e) 2  (f) -1\/3  (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2496)\/2808 - (22\/(-18) + 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -7*m**3 - 13*m**2 - 13*m - 9. Let l(b) = -8*b**3 - 14*b**2 - 14*b - 8. Let d(o) = 6*k(o) - 5*l(o). Is d(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 500975858 from 0.143.\nAnswer: -500975857.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v - 23*v + 2232 = 0. Let d = v + -235. Let p(i) = i**2 - 14*i + 19. What is p(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 397005 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -5416 times 0.03\nAnswer: -162.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 4*b + o + 16, -o + 18 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 - 10*w**2 + 7*w + 23. Let v be o(9). Let h = v - 5. Suppose -4*f - 236 + 744 = h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 136 by 1.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/7 and -1 + 1 + (0 - (-265)\/80)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 811.2 - 811. Let j = -0.2 + 0.11. Which is bigger: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -283*c + 725*c - 7344 = 226*c for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**3 - 9374*h**2 + 10960512*h + 55037160.\nAnswer: 2*(h - 2346)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 37250827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 358*b**2 + 0*b + 342*b**2 + 0*b - 1069*b**2 + 21 + 370*b**2.\nAnswer: b**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 106*m**3 - 19*m**2 + 4*m + 24. What is f(-1)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -51 - ((-87 - 44) + -34)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 6599\/6, -8\/3?\nAnswer: 6599\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1121*a**2*c**3 - 51*a**2*c**2 - 8*a**2*c + 2451*a*c**3 + 2*a*c + 30*c**3 wrt a?\nAnswer: 2242*c**3 - 102*c**2 - 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 17*f - 188. Let t be n(6). Put t, 4, 3, -3 in ascending order.\nAnswer: t, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 + 19 + 7 + (-3 - 13) + 10?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1870, -4, -2, 2, 6, -10 in ascending order.\nAnswer: -10, -4, -2, -1, 2, 6, 1870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -5*v - 2. Let r be a(-1). Solve -3*q = -m - 6, 0*q + q - 2 = -r*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10 + 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -93130889, -186261777, -279392665, -372523553, -465654441, -558785329?\nAnswer: -651916217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1743622 - 10.66615.\nAnswer: -1743632.66615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/4 and 77\/1174.\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -3*d + 2. Give v(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -10*p**3*s + 12*p*s - 2*s + 127 wrt p.\nAnswer: -30*p**2*s + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 + 0. Suppose -h*p = -9*p - 192. What is the highest common divisor of p and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2518*0.18\nAnswer: 0.045324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 + o. Let c = -968 - -967. Let i(y) = -6*y**2 - 5*y. What is c*i(r) - 5*l(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -111120 (base 4) in base 16?\nAnswer: -558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -43*s**6\/120 + s**5\/60 + 4*s**3\/3 + 22*s**2 - s. What is the third derivative of h(m) wrt m?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - 2*h**2 + 10*h - 11. What is the units digit of t(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2, -6\/7, -80?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -263868 >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, 5 in ascending order.\nAnswer: -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**3 - 5*t**3 - 14*t**3)*(t**2 - 2*t**2 - 2*t**2) + t**3 - t**3 - 2*t**5 + (-4*t**3 + 3*t**4 + 4*t**3)*(19*t - 14*t + 12*t).\nAnswer: 112*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-3*sqrt(63))\/((sqrt(9) - sqrt(144))*-1).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-277)\/(-66) + (-4)\/(-6) and (50\/(-825))\/(8\/654) - (-16 - -9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/30 and (-2)\/26 - (-23912)\/4459.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 32*f**2 + 22*f - 17. Let k = -72 - -76. Is 35 a factor of o(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m + 0*m + m**2 + (-3*m - 4*m + 6*m)*(-1 + 2*m + 1) - 2*m**2 + 2*m**2 - 2*m**2 - 40*m**2 - 50*m**2 - 157*m**2 in the form u*m + f + n*m**2 and give n.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 150 + -16b22?\nAnswer: -169a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 10:28 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 520 + 12865. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(13) - (-1*sqrt(13))**2*-3) + -4.\nAnswer: sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 10. Let h be n*((-6)\/(-10))\/1. Suppose h*p - 20 = 4. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-10) - (-14)\/60. Let h be (-3)\/((-6)\/88) - -3. Let m = h + -233\/5. Which is the nearest to 1?  (a) m  (b) 0.5  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 5*z = -0*z - 9, 3*t - z = 1. Let o = 34 - t. Suppose c - o = -5*g, 5*c = -0*c - 10. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.64, 381, 386.\nAnswer: -0.64, 4, 381, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -13*v - 329. Let c be 5\/v + 26\/5. Let a(j) = -j**3 + 6*j**2 - 7*j + 6. Calculate a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 3*a. Let d(x) = 8*x**2 - 7*x - 6. Let z(j) = -10*j**2 + 7*j + 8. Let y(c) = 4*d(c) + 3*z(c). Calculate -7*p(u) - 3*y(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13102915.\nAnswer: 5, 7, 113, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (1\/20*12)\/(-1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l + 2*l**4 - l**4 + 0*l**4 + l**2 + 2*l**2 to q + i*l**3 + d*l**2 + a*l**4 + u*l and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3315 and 1580280.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 116*a + 2 - 2 - 166*a.\nAnswer: -50*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 17 = -49. Let r be ((-456)\/(-42))\/(c\/(-28)). Find the third derivative of 19*l**4 - r*l**2 - 3*l**4 - l**4 wrt l.\nAnswer: 360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of 0*v**3 + 1\/60*v**5 + v**2 + 0 + 28*v + 0*v**4. Let u(q) = -2*q. Calculate u(n(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*x**2\/3 - 5442830*x\/3 - 5442844\/3.\nAnswer: 2*(x + 1)*(7*x - 2721422)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and -49.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-3))\/((-2)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -436, -432, -442, -478, -552, -676, -862?\n\"Answer: -2*o**3 + 5*o**2 + 3*o - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.7286 + 4.1286. Let c = -0.1 - -0.3. Put z, c, 0 in decreasing order.\nAnswer: z, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 + 4*o**2 + 7*o - 6. Let g be q(5). Suppose -4*l + 7*l = -g*d + 48, -3*l - 2*d + 42 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, x: 2, e: 4, u: 3}. Give prob of picking 2 e and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(16)\/sqrt(4))\/(sqrt(20)\/sqrt(90)) + -4)*1.\nAnswer: -4 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 27\/2 of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 139 = -133 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tcxt when four letters picked without replacement from cxyxctcxztxzxzyyyyxy?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 62*o**2 + 3. Let c(f) = 745*f**2 + 35. Let p(v) = -v**3 - 100*v**2 + 194*v - 1017. Let x be p(-102). Give x*c(b) - 35*w(b).\nAnswer: 65*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 11:12 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 17564*i - 1159243. Determine o(66).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 86278.55 kilograms in tonnes?\nAnswer: 86.27855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 336 a factor of 28818384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 + 4 - -64) + -63.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 478*a + 13915. Give o(-29).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 110010110001101001000 (base 2) to base 7\nAnswer: 20066530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 16 = f. Differentiate 2 + f - 25 + 9 + 20*k wrt k.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-35)\/(-21)*(-8)\/16.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3850 (base 15) to base 11.\nAnswer: -901a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -0.46, 0, 1, -21.\nAnswer: -21, -3, -0.46, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*b**2 + 276*b + 11*b**2 - 297*b as d + n*b**2 + y*b and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 9 = 3*d - 76, -2*s - 5*d + 73 = 0. Let w(n) = 10*n + 1. Let m be w(4). Let r = m - s. Calculate the remainder when 21 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + w = -8. Let x = w - -5. Let z be 2\/2 - (-2 - x). Which is smaller: z or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 331*s + 64 = 335*s. Solve -5*d = 9 + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3971283091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3190*d - 7931*d - 5498*d - 1366545 = 16556*d for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = g - 3*i + 3106 - 3102, i = -2*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -v**5\/20 + 5*v**4\/12 + v**3 - 12*v. Give d(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-5) - 624\/(-260)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.9458213 months to millennia.\nAnswer: 0.000162151775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 14187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3073679 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 3:24 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -401, -409, -427, -461, -517?\n\"Answer: -i**3 + i**2 - 4*i - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 - 13*i**2 - i + 16. Determine d(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 143 = -49. Calculate the smallest common multiple of 6 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 101 + 78. Let c = v - 94. What is the highest common factor of 34 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-10) + (-3)\/(-5). Let s be 2\/(-3) + (-80)\/(-84). Which is the closest to -2?  (a) k  (b) 1\/2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1136\/(-32))\/(7\/(-1246))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 142 divide 4618266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of 0*d**2 - 1\/4*d**4 + 17 - 4\/3*d**3 - 3*d. Calculate g(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4287, 22176, 0.3?\nAnswer: -4287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3060\/119)\/(-18)*(-3)\/(-30)*-6.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -1137*k + 22694. Give q(20).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -27*m**4\/5 - 1794688407*m**3\/5 + 3589376886*m**2\/5 - 478583588*m + 531759544\/5 = 0.\nAnswer: -66469943, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 148640 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14cc + 120a?\nAnswer: -2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (18\/21)\/3 - (-5596)\/14. Let l = z - 401. Let a(b) be the third derivative of -b**5\/10 + b**3\/6 - b**2. Determine a(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -86826 + 313602 = 12*f. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.389 plus 435433809?\nAnswer: 435433809.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 772080a?\nAnswer: -7720806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**3 + 17*p**2 - 55*p + 5. Give k(6).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7528347 and 2934171?\nAnswer: 8973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-663)\/(-4) + 0 + -1. Let k(x) = -2*x**3 - 2*x**2 - 4. Let n be k(4). Let v = n + i. Is v greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 + -93.5541?\nAnswer: -93.5841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -3*x - 26. What is b(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 + 8*v - 822. Give g(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(5) + 0 + sqrt(5) - (sqrt(60)\/sqrt(3))\/sqrt(4) - -3*(sqrt(5) + -1 + sqrt(5))*2)*6)**2.\nAnswer: -7488*sqrt(5) + 32724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4421252*z**4 - 878312.\nAnswer: 17685008*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -571 + 572. Let l = 12 + -6. Suppose j + 4 = 3*v, 3*j + 2*v = 2*j + l. Put j, -2, -4, s in ascending order.\nAnswer: -4, -2, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 45 = 9. Solve -5*a - 27 = -m*f - 0*f, 4*f + 2*a = 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 25*y**2 - 3. Let q be p(3). Is (q\/18)\/((-1)\/(-9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 42249288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 96, 171, 204, 183, 96, -69, -324?\n\"Answer: -2*r**3 - 9*r**2 + 116*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -6, 4 in increasing order.\nAnswer: -6, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -6*s**2 - 2. Let c(v) = 17*v**2 - 4*v + 5. Let l(d) = c(d) + 3*n(d). Determine l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1817*h - 1827*h = 0. Solve 6\/11*z**2 + 4\/11*z**3 + 0 + h*z - 2\/11*z**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45 - (36 + -16 + 55)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 5*k - 10, k = -3*k + 5*q + 8. Suppose w = 3*s - 42, -k*s + 21 = -s + 2*w. Suppose -141 - s = -4*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.8 - 0.2. Let d = 158.34 - 157. Let w = d - 0.34. Sort -4, y, w.\nAnswer: -4, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1971\/11 + -179. Which is the second smallest value?  (a) -1\/7  (b) 1\/6  (c) w  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 18 = 5*w. Find the second derivative of -4*v**4 + 11*v + 6*v**4 + w*v**4 - 4*v wrt v.\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 + 1 + 2 = 2697*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*x + 444 = -32*x. Calculate the remainder when x is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 - 20*q**2 - 29*q + 12. Let g be n(-18). Let t = g - -523. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2288404577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -3*m**4 + 1248*m**3 - 129780*m**2 - 4992*m + 519168 = 0.\nAnswer: -2, 2, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3261, 3257, 3253, 3249, 3245?\n\"Answer: -4*s + 3265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.860604529 to three decimal places.\nAnswer: 4.861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5032 divided by -37\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*u + 3528 = -126*u + 275*u for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k\/((k*k\/((k\/k**(-1\/8))\/k)*k)\/k))\/k))\/k**(-4\/7)*(k*k**1\/k*k*k)\/(k**4*k)*(k\/(k**(1\/5)\/k*k))\/k**(-2\/5)*(k**(2\/7)*k)**(-44) assuming k is positive.\nAnswer: k**(-2157\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44 divided by -19.\nAnswer: 44\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, o: 2, w: 2, e: 4, x: 1}. What is prob of picking 1 x and 1 e?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 7370991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 168\/24*(-4)\/(-98).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3502.34 from -192.\nAnswer: 3310.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 507 a factor of 7102056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is c2a042 (base 13) in base 11?\nAnswer: 2617a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 0 - 4 + 16*d + 6*d**2 + 6 - 7*d**2. Let h be z(16). Suppose 0 = -h*n + 196 - 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138 is divided by 5 - 6\/(6\/(-23)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14569 - -21746. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j**3 - 6*j**2 - 6*j. Let p(m) = -m. Let y(u) = -3*p(u) + s(u). What is g in y(g) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**3 + 10*p**2 - 1. Let c be q(5). Sort c, -4, 12, 4 in increasing order.\nAnswer: -4, c, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*1*sqrt(104))\/(sqrt(8) + 1*sqrt(32)\/sqrt(4)))**2.\nAnswer: 325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -5. Let s(g) = -19*g + 2. What is s(o) + z(o)?\nAnswer: -19*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000978 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 0.1, -0.1, -24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 460 - (704\/(-11))\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145*k - 143*k + 90*k - 112*k.\nAnswer: -310*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + s + 1. Let k(q) = 3*q**2 - 2*q - 3. Let b(p) = 2*p**2 + 126*p + 4. Let l be b(-63). Determine l*a(c) + 2*k(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 29 - 33. Let f(w) = -w + 3. Calculate f(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*p**3 - 40*p**3 - 65*p**3 + 39*p**3.\nAnswer: -92*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*r + 10*r + 15*r)*(1 - 2*r - 1) + 4*r**2 + r**2 + 0*r**2.\nAnswer: -63*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -14552, -14682, -14812?\n\"Answer: -130*p - 14422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 1. Let t(r) = 4*r**2 - 2. Let h(n) = -10*m(n) - 5*t(n). Let y(z) = -4*z. Calculate h(y(j)).\nAnswer: -160*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 80 and -0.42?\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68564*n**3 + 89 + 2*n - 2*n - 68558*n**3 - 83.\nAnswer: 6*n**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6\/(-3) + 4 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {c: 4, w: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -1 + 5 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(4\/(-10) + 0))\/(159 + 296904\/(-1869))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.53 - -26.53. Let p = 27 - h. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2*c - 15 = 0. Suppose -6 = -2*r, 4*r - 21 = -c*x + 2*r. List the prime factors of (x - 4)\/((-2)\/20).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -343225 - 5?\nAnswer: -343234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 48902*l - 831335. Give n(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2268576*f**2 + 11339644*f wrt f?\nAnswer: -4537152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 4185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142048 is divided by 899?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1508*s**3 + 2148*s**3 - 701*s**3 + 3149*s**3.\nAnswer: 6104*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s - 3*s + 9. Suppose 5*r + 2*h - 44 = 0, 4*h - 35 = -5*r + s. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -25503363, -25503403, -25503443?\n\"Answer: -40*h - 25503323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 - -11. Suppose r*f - 33 = -0. Suppose 3*m - f = 25. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*l + 1 - l + 0)*(24*l**4 - 4*l**4 + l**4).\nAnswer: 189*l**5 + 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/4, -0.5, 2, 3.\nAnswer: -5\/4, -0.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-3*(sqrt(132)\/(sqrt(84)\/sqrt(7)) - sqrt(11)) - (sqrt(1100) - (3*sqrt(1100)*5 - sqrt(1100)))**2).\nAnswer: -185899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p - 7. Let s be k(-5). List the prime factors of (-9)\/54 - 158\/s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -86 + 0 - (2496\/(-80) + 24)*10\/(-8)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -408*f + 1039. What is v(2)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24803?\nAnswer: 17, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 373704590*p**2*u + 4341*p*u - 14390*u wrt p?\nAnswer: 747409180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45246.97l in millilitres?\nAnswer: 45246970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1060, -1062, -1064, -1066, -1068?\n\"Answer: -2*l - 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 114 - 110. Suppose 88 - 436 = -j*w. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**3 - 8800*f**2 - 3898265*f - 23073870.\nAnswer: -5*(f + 6)*(f + 877)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0, -0.06, -32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 0)*(-3*z - 1 + 1 + (2 + 0 + 1)*(1 - 5*z - 1)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j. Suppose d = 4*q + 7, 2*q + 2*q = -3*d - 27. Let z be p(d). Solve -12 = -2*s + z*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b**2 + 2*b**2 + 1 + 3*b**2.\nAnswer: 4*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -850001*c**3 - 2*c**2 - 3*c - 2. Let a be f(-1). What is a rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61863 + 2*h + 61863 - 35*h**2.\nAnswer: -35*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-1\/16)\/h**(-20)*h**25*h\/(h\/((h\/h**10)\/h)*h) assuming h is positive.\nAnswer: h**(543\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 11291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1012386, 2024772, 3037158?\n\"Answer: 1012386*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*c**2 + 613*c - 613*c.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 179\/343938 and -29\/3420.\nAnswer: 10318140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 2*w + 1426, -6*l + 4*w = -5*l - 278. What are the prime factors of l?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -2440, -2, -13, -5 in ascending order.\nAnswer: -2440, -13, -9, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 15 = -5*g + o, g = -30005*o + 30006*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 2*q - 22 = 0, -v = -2*q + q + 7. Let j be ((-18)\/12)\/(6\/v). Let r be -3 + ((-2)\/(-1))\/(-1). Put -3, r, j in descending order.\nAnswer: j, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -32 - 23 + 100 - 32 + 3*g - 34. Let p(s) = 2*s - 14. Calculate -5*l(v) + 7*p(v).\nAnswer: -v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2)*n)**(-1\/71)*(n\/(n*n**(-7)*n))\/(n\/n**(-7)) assuming n is positive.\nAnswer: n**(-141\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of 31*g**4\/24 + g**2. Let x be (0 + -1)\/(5\/3 - 2). Let a(r) = -11*r + 16*r - x*r. Determine a(z(c)).\nAnswer: 62*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 141\/(-102) - (-21)\/14.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-4)*(-4 - 72\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 274516?\nAnswer: 2, 11, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of -f**7\/14 + 3*f**4\/2 + 6*f. What is the third derivative of g(j) wrt j?\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - (-18)\/4)*1368\/60. Suppose 0 = -3*p - 0*p - 5*r + h, 3*r + 9 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3365, -10, -63, -0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 232?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 5*j - j**3 + j**4 + 6*j**2 - 2 + j**3 + j**4 + 2*j**3 in the form g*j + f + u*j**3 + a*j**4 + n*j**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36, -60, -70, -66, -48, -16, 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5\/1156 + 48479\/551412. Let t = 1\/53 + z. Let n be (-2)\/10*3 + 1. Which is the second biggest value?  (a) n  (b) -1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68684 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8231, -16441, -24607, -32711, -40735, -48661?\n\"Answer: 3*y**3 + 4*y**2 - 8243*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25 - 15. Let d = 1 - o. Let k = 12 + d. What is the biggest value in k, -4, -4\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225 is divided by 106.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1982 - 2012 = 6*s. Let v = 2 + -10. Is s greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*c - 26 + 0*c + 10 - 22*c**2 - 6 to the form f*c + p + z*c**2 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 6*j**4 - 11381*j**3 + 5191284*j**2 + 196895916*j = 0?\nAnswer: -211\/6, 0, 966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/8*6*(-112)\/(-147).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-2210)*34465\/(-13786)\nAnswer: 1\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**3 - j**2 - j. Let r be q(-1). Let o(t) = -3*t**2 - t**3 - 2*t**2 + t**r + 0*t**3. Determine o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 + 16*r - 10. Let a be y(-9). Let b = a - -77. What is the second derivative of -7*n**4 + 5*n**b - 15*n + 8*n**4 + 4*n**4 wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - b - 12 = 0, 20 = -b + 6*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-7 - -12) - (2 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -24 + -2 + 14 + 20 + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99818.\nAnswer: 2, 29, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/(-6) - (-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1655086435 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 122472 and 10152.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 372 + -230. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 u, and 2 n when four letters picked without replacement from nunurduuurur?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of n**5\/20 - n**3\/6 + n**2 - 55*n. Determine o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 4425\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - 3.7. Let h = 0.340855 - -0.159145. What is the closest to -11 in -1, n, h, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 188.4596 millennia to years.\nAnswer: 188459.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -6*t + 85. Let d be j(10). Let p(n) = -d*n**2 + 10*n**2 - 26*n**2. Let h(r) = -5*r. What is h(p(c))?\nAnswer: 205*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) + (sqrt(325) - (4 + -1 + sqrt(325))))**2 + sqrt(325) + -2*((1*sqrt(325))**2 + sqrt(325)).\nAnswer: -316 - 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -3*g**3. Suppose 0 = -6*o + 11 + 13. Let k(c) = 3*c**3. Calculate o*k(v) + 5*z(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 16) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 4*h + 1. Calculate x(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 3\/2*k + 3\/2*k**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -8\/1700055 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 29220 and 121750?\nAnswer: 730500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 - -53. Calculate the highest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 776 a factor of 1426508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*a**3\/3 - 163959*a**2 + 5367251*a\/3 + 163999 = 0 for a.\nAnswer: -44727, -1\/11, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/1 + 0 + (0 - -4). Factor 0*y - 1\/2*y**u - 1\/4*y**2 + 0.\nAnswer: -y**2*(2*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -188*c + 5619. Give r(30).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29946.6386 - -29916.6. What is c rounded to one decimal place?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 25, 5*t - 4*t - 5 = 5*w. Put 1, 5, -5, w in increasing order.\nAnswer: -5, w, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y**2 + 3686572*y - 3686575*y - 17*y**2.\nAnswer: -22*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.1623 - -1.1623. What is the closest to 0.2 in 4, j, 2\/9, 306?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 + 15*z + 18. What is o(18)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/9, -0.5, -2.916, -11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -58 - -55.7. Let h = j + 0.3. Let a = 2\/47 - 116\/517. Put a, h, -0.5 in descending order.\nAnswer: a, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 2 a when four letters picked without replacement from aaasaasssaa.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -3  (b) 1  (c) -568  (d) -4  (e) -72  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.1 + 0.3. Let x(h) = 65*h**2 + 1. Let y be x(-1). Suppose -64*l = -y*l + 6. Which is the smallest value?  (a) 4  (b) l  (c) 2\/3  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 4*v + 4. Calculate z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5*l = -28, -n + 16 = -0*n - 3*l. Suppose 0 = n*t - 24. Suppose i - 15 - 51 = 0. What is the greatest common divisor of i and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 1980 = l - 1310, -2473 = 3*d + 2*l. Let x = -471 - d. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 40*m**6 + 3*m**5 - 2*m**2 - 57 wrt m.\nAnswer: 4800*m**3 + 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0188 plus -8142129.1?\nAnswer: -8142129.0812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -73777 + -2?\nAnswer: -73780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*j + 28*j = 270. Let p = -3 - j. What is p rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 + (-2)\/8*0. Let v be 1\/4 + 5\/(-20). Suppose v = k - 0 - w. Sort 1, 5, k.\nAnswer: 1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -1 + 4 + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-3 + sqrt(200)*-1))**2.\nAnswer: 2160*sqrt(2) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1385\/3 + -466. Calculate the common denominator of -7\/253 and x.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 PM and 8:04 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1869 + -1860. Let p(b) = 5*b**3 + 8*b**2 + 8*b + 1. Let o(t) = 9*t**3 + 16*t**2 + 16*t + 3. Let m(z) = 6*o(z) - 11*p(z). Determine m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p + 3. Let y(w) = 2*w - 5. Let n(a) = 5*m(a) + 3*y(a). Suppose u = 4*o - 2, -3*o + o - 2 = -u. Let f(l) = -4*l. What is u*n(c) + f(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t**3 + 3*t**2 + 2*t. Let j be u(4). What is j rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from web.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 54572 = 2*o, 3*o + 36 = 9*o. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-p**3 - p**3 - 9*p**3)*(9 + 5 - 3) as v*p + w + q*p**2 + m*p**3 and give m.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 l when three letters picked without replacement from {k: 1, l: 2, o: 1, b: 1, c: 1, t: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 192175*n**4*z - n**3*z**3 + 5*n*z**2 - 75*n*z - 15*z**3 - 33*z**2 + 2 wrt n.\nAnswer: 2306100*n**2*z - 6*n*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 0 - 1 + 0 - d. Let x be c(-5). Let q(g) = g**2 + 3*g + 3. Let f be q(-3). Solve 0 = 2*u - 3*j + x, 5*u - 4*j + 4 = f*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 - (-15 - -20 - -21) - -28.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**3 - 15388*a**2 + 16*a + 61552.\nAnswer: -4*(a - 2)*(a + 2)*(a + 3847)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19869\/(-2 - (-15 - -10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 3*y + 6 = -w, 20 = 5*w + 5*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*t**2 + 19*t**2 + 18*t**2 + 17*t**2 + 27*t**2 - 167*t**2 + 68*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3)*c\/(((c**(-1\/13)\/c)\/c)\/c)*c*((((c**(2\/5)*c*c)\/c)\/c*c)\/c)\/c**(-2\/9))\/(c**4\/c*c**(2\/13))**(3\/10) assuming c is positive.\nAnswer: c**(2051\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1713*x + 572*x + 571*x + 571*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(68) + -1 + sqrt(68) + 5 + (sqrt(68) - sqrt(68)*2 - sqrt(68)) + sqrt(68) + 4.\nAnswer: 8 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2565, 2566, 2567, 2568?\nAnswer: 2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 11 = 3*c, 0*c - 2*c + 2 = 0. Suppose -4*b + 9 = -3*b. Let o(n) = -b + 2*n**3 - 8 - 3*n**2 + 0*n**3 + 18. Determine o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1224.37652 rounded to 0 dps?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**4 + 968*d**3 + 8448*d**2 + 13880*d - 23300.\nAnswer: 4*(d - 1)*(d + 5)**2*(d + 233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196457?\nAnswer: 71, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 3 + 3 + 3 + 2*o + 2.\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.9 and -7442934.\nAnswer: -6698640.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2380*n - 16672. What is z(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s. Let b(t) = -t - 8. Let n be b(-8). Let q(r) = 3 + n - 1. Suppose 3*i = p + 1, 0 = p + i + 3*i + 1. Determine p*q(x) - 3*o(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -3*c - 2*d + 1, -3*c - 104 = -109*d + 235 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zdd when three letters picked without replacement from dzdzddzzdd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 11*g**2 + 14*g - 36. Calculate a(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 29 + 5 = -4*r, -16 = 4*x - 2*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 26*g**2 - 2*g + 1. Let i be f(-4). What is the highest common factor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 6*w + 0*w - 3*w + 7 - 4*w. Determine z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + 178\/(-60))*-4 + ((-128)\/(-30))\/32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -293 - -349. What is the highest common divisor of 40 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*f + 75*f = q - 3794, 2*q = 4*f + 7586. Calculate the least common multiple of 1 and q.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -31 + 34. Solve 0 = l*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.9 - -7.8. Let h = -242 - -4357\/18. Let y = 1\/9 + h. Sort -0.04, k, y in ascending order.\nAnswer: k, -0.04, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-72)\/(-5))\/(1 + 39\/(-30)). Let z be y*(0 + (-18)\/7) - -2. Let g = -10697\/84 + z. What is the common denominator of 101\/22 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 8 = -33. Let v(w) = w**3 + 5*w**2 + w. Let a be v(t). Find the common denominator of ((-10)\/(-8))\/a - 370\/24 and 52\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f**2 + 4*f - 19. Give x(-8).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 328 - 320. Suppose 116 - 4 = 2*h. What is the greatest common divisor of x and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*o - 17*o - y - 58353, -5*o + 4*y = -72922. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 185\/126 + 60\/1890.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 - o - 4. Let f be n(0). Let s be f\/(1\/(-1))*1. Suppose w - 5 = -s*t + 5*t, -w + 3*t = 5. Calculate the least common multiple of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 459 and -200.\nAnswer: -91800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 39*c**2 + 6*c + 20. Let k(f) = -13*f**2 - 2*f - 7. Let m = -9 + 3. Let r(d) = m*a(d) - 17*k(d). Let b be -4 - (11 + -8) - 1*-6. Calculate r(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/((2 - 6)\/68). Let q = 22 - n. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -471212.56 * 5.\nAnswer: -2356062.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 - 6*k**2 - 3*k + 1. Let j be c(-5). Let t be ((-156)\/65)\/((-4)\/30). What is the units digit of j\/t + 26\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 11484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*n - 3*i = -107*n + 31, 0 = -3*n + 5*i + 47 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 138*k**2 + 186*k**2 + 9*k - 251*k**2 - 2 - 4.\nAnswer: 73*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 629*d**3*w + 6531*d**3 + d**2*w + 49*d**2 + 2*d*w + 5*w - 3 wrt d?\nAnswer: 3774*w + 39186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + 11*p**2 - 10*p + 3. Let h be k(10). Suppose -h*z = m - 4*z - 98, -m + 92 = -4*z. What is the tens digit of m\/6*3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = h - 5*h. Let y(v) = 23*v + 15. Let s be y(-5). Let p = h - s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -338 or -341?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 4*d - 16 = 0, 0 = 4*f - 3*d - d + 24. Let z = 2 - f. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 6*g + 221 - 438 + 223 + 0*g. Let q(n) = 5*n + 6. Calculate -6*a(h) + 7*q(h).\nAnswer: -h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**2 - 4*p - 1. Calculate j(-13).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 653 + 312 = 48*p - 427 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19109.9999988389 + 19110. Round v to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2*b**2 - 15*b - 17. Let i be x(-6). Let t be ((-4 - -1) + 4)*(i + 0). Sort -4, t, -19.\nAnswer: -19, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -137687\/3 in 0, -1\/2, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 47435 rounded to the nearest one thousand?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 AM and 8:53 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 10. Suppose x*w + w = 1004. Is -6*3\/(-6) + w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(-13)*-5 - 28\/(-182)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 4) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 p when three letters picked without replacement from {n: 2, p: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cwae when four letters picked without replacement from aecvaewejccaeecaveec.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the third derivative of 11*k**5\/210 - k**4\/28 - k**2 - 74. Factor q(l).\nAnswer: 2*l*(11*l - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 9. Let x = 41 - 38. What is the third biggest value in x, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of 753*j**5\/10 - 1207*j**4\/6 + 2*j - 2133. What is the third derivative of s(b) wrt b?\nAnswer: 9036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.18 * 946.5\nAnswer: 170.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -518*q + 3. Suppose 4*j - 1 = 5*j. Is p(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3426a + -61?\nAnswer: 34209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2, 2\/13, 0.3, -3\/17, -28\/9, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3255000 rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1935*w = -2002*w - 102*w - 541226 for w.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -373106517 and -3.05.\nAnswer: -373106520.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -2437740 divided by 15.\nAnswer: -162516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((5 + -4*(-2 + -1*sqrt(200)) + 1)*-4)**2 + -4) + -5.\nAnswer: -54337 - 17920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 divided by -1291790?\nAnswer: -32\/129179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 + -32. Let j(u) = 11*u**3 - l*u**3 + 4 - 5*u**2 + 0*u**2 - 6*u. Suppose -5*r + 20 = 5*a, 4*a - 2 = 5*a + 4*r. What is j(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68965?\nAnswer: 5, 13, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 621*z**2 - 587*z**2 - 2 + 0 + 4*z + z**2 - 4*z + (2 - 2 + 2*z)*(5*z - 4*z + z).\nAnswer: 39*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 7956144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0 - 0) + (377 - 2 - -3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -65, -105, -133, -143, -129?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - 5540\/6)\/(272\/(-816)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.047 + -0.147. What is the closest to f in -5, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23 + 28. Suppose 4*r - 3*g + 4*g = 139, r + t*g - 30 = 0. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 8244069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of m**4\/12 - 10*m**2 + 4*m. Let z(y) be the first derivative of 0*y - 7\/2*y**2 - 2. Give p(z(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 0. Suppose 3*v + j*l + 0 = -16, -5*v = -2*l + 16. Let o = -2 + 2.5. Put o, v, 0.4 in descending order.\nAnswer: o, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + 47cd75?\nAnswer: 47cd79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -5*t**2 + 2*t + 557. Let h(x) = -11*x**2 + 5*x + 1113. Determine -2*h(c) + 5*m(c).\nAnswer: -3*c**2 + 559","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 10:03 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together -11804 and -129704510.\nAnswer: -129716314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 3*g + 24 = 0, -29*p - 5*g = -25*p - 68. Solve -z = -5*v - 40 + p, -v = 2*z - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**4 - 6*s**3 - 11*s**2 - 6*s.\nAnswer: -s*(s + 1)*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/429 and 67\/22.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1433 not equal to -1413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 633 - 630. Let p = -5 - -4.8. Which is the second smallest value?  (a) n  (b) -3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 - 5*h**2 - 4*h - 17. Let x be m(-5). Let i = 9 - 11.5. Let o = -0.5 + i. What is the closest to 2 in 3\/5, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1135820911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*t + 2536 = t, -3*j + 3*t + 7590 = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67.074 times 16?\nAnswer: -1073.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -925 or -840?\nAnswer: -925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of 0 + 0*b - 37*b**2 - 1\/3*b**3 - 1\/24*b**4. Let o be h(-2). Solve g - 5*g = o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211210 + -11101221002?\nAnswer: -11101002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -73120\/59 or -1239?\nAnswer: -73120\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 892390 less than or equal to 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 259461 is divided by 259445.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/3)\/((-150)\/(-180)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10585554 and 147441645.\nAnswer: 2064183030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000545720236 rounded to seven dps?\nAnswer: 0.0005457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 + 1101002?\nAnswer: 1101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 4*(-1 + (sqrt(847) - -5*(sqrt(847) + 2)) + (sqrt(847) + sqrt(847) + 0 + 0 - sqrt(847)) + -1))**2.\nAnswer: 22176*sqrt(7) + 665344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 897129071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112110210202 + 1?\nAnswer: -112110210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 210939 + -211021.9859. Let i = m + 83. Round i to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 43b74 - -4?\nAnswer: 43b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -120111011 (base 3) in base 16?\nAnswer: -2c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.8 - 18.67\nAnswer: -19.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 639682 and 2214.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, -6, 6, 2 in ascending order.\nAnswer: -6, -4, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -198053*y**3 - 29374.\nAnswer: -594159*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 377860 and 280.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7 and 4242.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 PM and 10:15 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -378 times 2070\nAnswer: -782460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbxx when four letters picked without replacement from {b: 10, x: 9}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 5*b = -26, 242*j + 11 = 241*j - 2*b. Sort -0.73, j, -3\/7, 0.01.\nAnswer: -0.73, -3\/7, 0.01, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of -333*m**5\/10 - m**4\/4 + m**3\/2 + 34*m. Let l be d(3). What is l rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(1\/2)\/j)**(23\/6)*(j**(1\/3)\/j)**40)\/((j**0\/(j*j**(-1\/3)*j))\/(j*j**(-4)*j**3)) assuming j is positive.\nAnswer: j**(-277\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*v + 3*v + 7*v + (2*v + v - 5*v)*(-3 - 2 + 4).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 3*y + 22 = 0, 5*l - 12464 + 12440 = -y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 71543362*z**2 + 16590553*z wrt z?\nAnswer: 143086724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {v: 5, k: 1, q: 1, j: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 189197 = 110247. Suppose -187100 + 11656 = -4*c. Let y = c - h. What is y rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2856 = -95*h + 53*h. Which is bigger: 137\/2 or h?\nAnswer: 137\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 45 + -52. Let p(f) = -f**2 - 7*f + 2. Let y be p(s). Solve 0 = 5*v - 0*v - 3*x + 7, -3*v = y*x - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8032 - 8046. Let k(c) = 11*c**3 - 3*c**2 - 3. Let u(v) = -23*v**3 + 7*v**2 + 7. Determine z*k(x) - 6*u(x).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 5 + 35 = 0. Let n be (2\/o)\/(9\/81). Solve h + n = p, p = 4*h + h + 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1167 + 64249\/55. Calculate the common denominator of 76\/45 and i.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 9*x + 9. Let a(g) = -g**2 + g + 1. Let l(y) = 9*a(y) - s(y). Let p(v) = 12*v**2 - 7395 + 8*v**2 + 14788 - 7393. What is p(l(t))?\nAnswer: 1620*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z + 1. Let t be r(-4). Suppose 125 = -3*l - 5*y, -3*l + y = 2*y + 109. Let c be (-2)\/(-3 - (l\/2)\/7). Solve 0 = -2*m + c, -j + 0*m = -m + t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -339 + 338.81. Which is bigger: 8 or z?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 79 - 73. Suppose -3*o = o. Suppose r + o*v = v, 3*v - 6 = r. Solve r*d - l = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.5, -1\/7, 47, 25, 20?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -399.93 - -400. Let t = -10\/31 - -92\/93. Put -3\/7, 2, s, t in descending order.\nAnswer: 2, t, s, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4 = -r. Let f(q) = -2*q. Let m be f(r). Suppose 0 = 9*t + 3*t + 24. Which is the third biggest value?  (a) t  (b) m  (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1672735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3986656 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 14521195 to the power of 1\/2, to the nearest integer?\nAnswer: 3811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19188 is divided by 1891?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -333 - -1934. Suppose -5*v + 4*j = -f, -5*j + 313 = v - 4*j. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 = -6*w - 7*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + v + 2*v**2)*(3*v**2 - 3*v**2 - 2*v**2) + (4 - 5 + 2)*(-2*v**2 - 2*v**4 + 2*v**2) - 5*v**4 + 10*v**2 - 10*v**2.\nAnswer: -11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 687 divided by -1.\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence po when two letters picked without replacement from ioipxplipixsi?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 2\/25, -10\/7, 4, 1086?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of -11\/3*h**3 - 137*h**2 - 49\/24*h**4 + 0 - h. Find the first derivative of q(x) wrt x.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 342*u - 16. Let n(j) = -86*j + 4. Calculate 2*h(v) + 9*n(v).\nAnswer: -90*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 + 6*p**2 - 6*p + 9. Let z be c(-7). Suppose z*f - q - 3*q = 12, -2*q = -5*f - 10. Let w be (11 - 5)\/(f\/(-2)). Let a(b) = 3*b - 1. Give a(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.45594 rounded to 2 decimal places?\nAnswer: 47.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -37*h - 2763. What is a(-72)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62938.64 millennia to years.\nAnswer: 62938640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 9 = -3*o + 8, -i = 2*o - 10. Let u(w) = -25*w**2 - 9 + w + 2*w + 13 + 8 + w**o. List the prime factors of u(25).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76\/(-5)*(-45*92\/(-60) + -64)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from {n: 3, j: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 23880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 357 = 6*u + 357 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of 398*z**5\/5 - 3*z**3 - 6*z - 272. What is the third derivative of b(c) wrt c?\nAnswer: 9552*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3*y = -162, t + 56*y = 54*y + 167. What is the remainder when t is divided by 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 671.7371 centuries?\nAnswer: 806084.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*d + 4*d - 3*d)*(2 - 5 + 5) + (-2*d + 4*d + 0*d)*(2 + 1 - 1) to the form x + h*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30.1 + 29.869. Let r = 0.22 + q. What is r rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 369 and 12104553?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 0. Let h(f) = -f + 6. Let n be h(t). Let r(u) = -34*u**3 + u**2 + 2*u + 1. Is r(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = -3*y + 25, -5*y - 1086*i = -1084*i + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (434\/(-1953))\/(4\/81*15)*-230?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1468, 5816, 13038, 23134, 36104, 51948?\n\"Answer: 1437*z**2 + 37*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -20 + -1548858?\nAnswer: -1548878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -71*u**2 + 12*u - 9. Let l(f) = -319*f**2 + 49*f - 34. Let q(v) = 9*i(v) - 2*l(v). Determine q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w. Let x(f) = -99356*f. What is n(x(k))?\nAnswer: -99356*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/21 - (2892\/(-14) + -1). Suppose -r + 2*h = -60, -5*h = 5*r - 93 - d. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of 0 + 0*u + 5\/6*u**3 - 1\/6*u**4 + u**2. Let t(f) = 5*f - 6. Suppose 6*q - 21 = 9*q. What is q*d(k) - 6*t(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 - ((-6 - 2 - 6) + 21).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -111\/20 and -73\/191925460.\nAnswer: 191925460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0  (b) -1\/3  (c) 2\/9  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d. Let c(t) = t**2 - 72. Determine c(b(s)).\nAnswer: s**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fifty-seven halves of a week?\nAnswer: 4788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 49232 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (143 + -145)*(-2)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 + 0)*(26*s - 3*s + 11*s - s - 2*s + s + s - 3 + 3 + (-2 + 2 - 1)*(4*s + 2*s - 4*s)) - 36*s - 5 + 1 + 3.\nAnswer: 88*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11184859 and 2107?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6\/4 + ((-4776)\/(-16) - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 5 + 2 + (-17 + 33 - 32).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8\/14*(-163 + 184) + 4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/6, -2\/17, -1.6236, -5, -9 in descending order.\nAnswer: -2\/17, -5\/6, -1.6236, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-135 + (-4403)\/(-111))*(-12)\/44.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - 5\/5) + 6. Suppose -48 = -f*c + 5*h - 18, 5*c = -2*h + 54. Suppose 267 = c*s - 503. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 22 = 2*u + 27, 5*y = -5*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 - 8*d**2 - 20*d + 6. What is m(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - 11453314?\nAnswer: -11453315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-10))**(2\/117) assuming o is positive.\nAnswer: o**(-20\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p + 1. Let k = -161 - -239. Let y(h) = 42 - k - 4*h**2 + 36. What is b(y(c))?\nAnswer: -8*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27853, 111423, 250713, 445729, 696477?\nAnswer: 1002963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 AM and 9:00 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 6*s**2. Let d(k) be the third derivative of 119*k**2 + 0*k**3 - 3\/20*k**5 + 0*k**4 + 0*k + 0. What is d(h(f))?\nAnswer: -324*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n - 2*n + n = -4*y + 15, 20 = y - 5*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6.6 - 6.6000003. Round d to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express w**4 + 0*w**4 + 6 - 2*w - 2*w**4 + (2*w + 2*w**2 - 2*w)*(w**2 + 3*w**2 - 2*w**2) as h*w**2 + r*w**4 + v*w + p + k*w**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l**3 + 3*l**3 - 3*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 503912719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (48\/(-5))\/(-3)*46\/(-828)*3\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -565*r**3 + 17*r**2 + 12*r wrt r?\nAnswer: -3390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvvvvvvdvddvvvvv. What is prob of picking 3 v and 1 d?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + h = -14325, 0 = -7*v + 12*v - 3*h - 17901. Let t = 6001 - v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*m + 1962 - 5802 = 0. Let f be 6*(-2)\/(-16)*m\/(-240). Which is the third biggest value?  (a) -0.3  (b) 6\/7  (c) -1  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 264 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 16.9. Let y = 4.9 - d. Let x = -5.99972 + y. What is x rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 84*q - 5. Is z(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1953?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(6\/5)\/(z\/(z*z**(-12\/5)*z*z)))\/(z*z**(-12)*z*z\/z**33) assuming z is positive.\nAnswer: z**(214\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -43, 57803, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4\/7)\/u)**(2\/5)\/(u**(-7\/3)*u*u*u*u**4*u*u) assuming u is positive.\nAnswer: u**(-766\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1272.23 + -1266. Let p = 6.6 - q. Let n = -0.03 - p. Which is the third biggest value?  (a) n  (b) 3  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 18*y**3 - 12*y + 34. Let b(z) = z - 2. Give 12*b(k) + v(k).\nAnswer: 18*k**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 42\/263, -11224?\nAnswer: 42\/263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -141\/13 + 11. Suppose 0*y - 5*g + 3 = 2*y, g = -3*y + 11. Which is the closest to 0?  (a) 2  (b) d  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2509428092 to the power of 1\/2, to the nearest integer?\nAnswer: 50094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*c + 11*c. Sort -15, -0.2, c in decreasing order.\nAnswer: c, -0.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*t**4 - 8387*t**3 + 144*t**2 + 971510*t wrt t?\nAnswer: -24*t**2 - 50322*t + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d + 4*d - 2*d)*(d - 4*d + 0*d)*(7*d - 42*d + 78*d)*(d - 2*d + 0*d).\nAnswer: -387*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2144601507*c**3 + 2145243195*c**2 - 641736*c + 48.\nAnswer: -3*(c - 1)*(26737*c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/170144512 and 9\/5056.\nAnswer: 170144512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 12528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, r: 8}. What is prob of sequence zzr?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -347 - 360 + 3*x**3 + 1000 as g + f*x**2 + o*x + j*x**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 5*p**2 + 10391*p + 13488818. Let h(a) = -56*a**2 - 114302*a - 148376998. Let f(x) = 6*h(x) + 68*w(x). Let f(d) = 0. Calculate d.\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -4\/7, -0.4, 2\/3, -46\/5?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {w: 2, o: 1, m: 1, u: 5, k: 3, a: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (36\/60)\/(3\/10) + -1820002. What is q rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + 44*r + 1898. Determine q(70).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of t**4\/8 + t**3\/6 + 2*t**2. Let q be g(1). Let h be (11 + -11)\/(-2 - -4). Put q, h, -1 in decreasing order.\nAnswer: q, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 39 - 39 - 46*i**3 + (-5*i**2 + i**2 + 2*i**2)*(2*i + 0*i + 0*i).\nAnswer: -50*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, l: 2, u: 1, y: 1, j: 1, z: 1}. What is prob of picking 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/36 + (-1)\/(-4). Let p = a - 4\/9. What is the second biggest value in p, 1\/6, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 24*w**2 - 355*w - 501. Let h be t(-34). Let d(u) = 34*u - 295. Calculate d(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {f: 5, i: 1, a: 2, g: 2, w: 1, u: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.102607 litres to millilitres.\nAnswer: 3102.607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1903581  (b) -4  (c) 4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -148878505 or -148878504?\nAnswer: -148878505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 + 12*t**2 + 379*t + 1760. Calculate z(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eveveedveevdeevev. Give prob of sequence veve.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 100 - -872. What is the greatest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of r**3\/6 - 2*r. Let u(q) be the second derivative of 13*q**3\/3 - q - 6. What is y(u(h))?\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of c**4\/12 - c**3\/2 - 2*c**2 + 375. Let j(h) = 2*h - 3. Calculate 6*j(f) - 5*k(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29510994?\nAnswer: 2, 3, 197, 24967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 896 by -112.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 + f + 2. Let x be p(2). Suppose x*l - l + 12 = 0. Let z = -5627 + 5643. What is the smallest common multiple of z and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 441 and 783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -22*j - 9. Let v(a) = -a + 11. Let p be v(13). What is the remainder when l(p) is divided by 76\/6 - 2\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.248 * 87.92\nAnswer: 21.80416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 5*z + 275 = 0, 2*i - 2*z + 3*z + 127 = 0. Let q = i - -72. Let a(p) = p**2 - 6*p - 11. Determine a(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-756)\/216 - 89750\/(-4) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 316 + 45?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*k**3 - 4*k**4 - 10*k**3 + (5*k**2 - k**2 - k**2)*(-5 + 5 + 2*k**2) + 0*k**3 + 0*k**3 + 2*k**4 to d*k**2 + i*k**3 + z*k**4 + b + o*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -45911*j - 1193671. Give y(-26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 70, 4, -5010, -4 in ascending order.\nAnswer: -5010, -4, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -78735*c + 78715. Give b(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10.7 and -59?\nAnswer: 631.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 102203?\nAnswer: -102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 3*p**4\/2 + 387*p**3\/2 + 5991*p**2\/2 - 387*p\/2 - 2997 = 0?\nAnswer: -111, -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 626710 and 21557545?\nAnswer: 6395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (220*i - 10*i**3 - 220*i)*(-1 + i**2 + 1) + 2*i**5 - 2*i**5 - i**5.\nAnswer: -11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sss when three letters picked without replacement from qssqssscqsqc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/26 - 1361190\/(-663). Suppose -b*i - 510 = -2058*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -27 - -27. Are 5\/9 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 + 1 = -9*a. Suppose 2*y = -a*o + 68, -5*y + 157 + 44 = -3*o. What is the first derivative of t**3 - t**4 - 5*t**4 - 64 + y + 2*t**3 wrt t?\nAnswer: -24*t**3 + 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/32 + 47849\/(-129760). Let q be (1\/22)\/(4\/(-16)). Sort q, d, -4, -2 in decreasing order.\nAnswer: q, d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - -6949?\nAnswer: 6948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**3 + 0*q**3 - 2*q**3)*(-3 + 4 + 1) + 0*q**3 - 6*q**3 - 17*q**3 + (-4 + 4 - q)*(2*q**2 - 2*q**2 + q**2) + 5*q**3 - 3*q**3 - 3*q**3.\nAnswer: -31*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d**6 + 14*d**4 + 16*d**3 - 6*d**2 + 6111.\nAnswer: -120*d**3 + 336*d + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/11?  (a) 0.4  (b) 3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -26531, -26438, -26281, -26060, -25775, -25426, -25013?\n\"Answer: 32*v**2 - 3*v - 26560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, -174, -0.2 in decreasing order.\nAnswer: -2\/17, -0.2, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v - 1 + 0 - 3. Let b(i) = -i**3 - 9*i**2 - 8*i + 2. Let m be b(-8). Suppose -m*f + 6 = -0*n + 3*n, -10 = -2*f - 5*n. Determine x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -42\/17 - -328\/119. Let m = 5.9 + -5. Let s = m + -1. Is u bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39 - -33. Let s(b) = b + 8. Determine s(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77 - 12*l**2 - 148 + 72.\nAnswer: -12*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 456653509 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1150807562 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 21520 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 324*s**2 + 2*s - 2. Suppose 11*b = 8*b + 3. Let j be f(b). Suppose -5*k - 2*t + j = 0, -5*t = -4*k + 2*k + 147. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.0183, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96 (base 15) to base 13.\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10162599 is divided by 1359?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1194*r + 4142*r + 6654*r + 31650*r to q + s*r and give s.\nAnswer: 41252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 190132251 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y + 8. Let u be p(-4). Suppose u*a - 2*a = 234. Calculate the greatest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -5315*t**3 - 5*t**2 - 6*t - 5. Let v be f(5). Let h = 439535 + v. Round h to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -5*n + 28, 4*n + 12 = 8*n + 2*s. Solve 8 = -4*l - n*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 8*t**2 + 5*t - 1. Let v be s(8). What is the hundreds digit of (-3*v)\/1*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 - 2*h**2 + 2*h - 21. Let t be p(-4). Find the common denominator of 3 - -83*(-2 - t)\/(-10) and 16\/61.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/7  (b) -257  (c) 568\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -157 times 1254?\nAnswer: -196878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -1059*b + 4266. Let f be p(4). Solve 2*c = -5*o + f, -c - 11 = -6*o + 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 3*g = 20, -11 = -5*w + 2*g + 9. Suppose -5*r - j = -26, -34 = w*r - 9*r + j. Let v(z) = z + 2. What is the units digit of v(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 2\/5  (b) -4\/9  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 3*j**2 + 8*j + 6. What is the remainder when o(-5) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -25 + -25?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -38*m**3 - 468*m**2 - 562*m - 132.\nAnswer: -2*(m + 1)*(m + 11)*(19*m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 2. Let k = 1 + b. Which is smaller: k or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -325068, -325067, -325066?\n\"Answer: b - 325069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/17 in -1, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 4*v + 2*h - 345, 0 = -2*v + 4*h + 196. Let k be v\/21 + 2\/(-7). Suppose -104 = -0*b - k*b. Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 6654*t**2 + 11774*t**2 + 2254*t**2 + 5.\nAnswer: 20682*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 179*o**3 + 3508*o**5 + 108*o**3 + 1427*o**2 - 394*o**3 + 107*o**3 wrt o?\nAnswer: 210480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8 - -3c8?\nAnswer: 3d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18092.6342548 + -217.6657612. Let g = 18310 + v. Let p = 0.3 + g. What is p rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -227 + 232. Let q be 1\/(k - 19\/4). Solve t - q + 1 = 2*i, 5*i = -5*t - 30 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1165904978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(272) + -1*sqrt(272) + (sqrt(204) + (sqrt(204) - sqrt(204)*2) - sqrt(204))\/sqrt(12).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -3 + 2 - (16 + -53 + 5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 6*l + 5*l - 23 = 0, 0 = -d + 2*l + 11. Let j = 0 - -3. Let u = j + d. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b + 1 - 14 - 15*b + 0 - 31. Let h be s(-3). Solve 22 = -h*x + 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -132 - -131. Let u be ((-6)\/(-6))\/a + 6. Let q = -8 - -15. Solve -w - w - q = -u*k, -3*k - 3 = -3*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -352\/25*g**5 - 64\/15*g**6 - 2\/5*g - 14\/5*g**2 - 86\/5*g**4 - 146\/15*g**3 - 4. Factor t(a).\nAnswer: -2*(a + 1)**2*(4*a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11\/287556558 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 + 6*a - 10. Let j be 2 + (7\/1 - 4). Determine c(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of z**4 - 2*z**3\/3 + 3*z**2\/2 - z - 7. Let l be f(1). What are the prime factors of (-258)\/(-12) - 6\/l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 167\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 114 and 52392.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -465 divided by -5.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 39 - 34. Suppose -3*a + 16 = -4*c, a - 3*c - 12 = p*a. Solve 0*s + 2*s - 10 = a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -7*g**2 + 519*g + 16. Determine m(74).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 36 = -4*z - 3*t, 0 = 4*z + t - 20. Solve -z*s - 3*f = -3, -5*f = 2*s - 2 - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 - 11*a**2 + 9*a - 2. Let r be t(7). Let z = r + 221. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.082196 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1032*y - 884*y - 61312 = 0 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 8*g**2 + g + 2. Let w be p(-2). Suppose -u + w = u. Calculate the remainder when u is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -0*t - 2, 0 = 2*i + t - 42. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 615*c - 613*c - 106. Calculate the remainder when 788 is divided by c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/3  (b) 0.2  (c) -146575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*i - 1 = -23 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19386 - 19365 - 2*s**2 - 4*s + 38751.\nAnswer: -2*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000253035386 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and -1508670760.\nAnswer: -1508670759.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**3 + 2*d**3 + d**3)*(-2 + 2 - 1)*(1 - 1 - d**2 - 3*d**2 - d + d - 4*d**2 - d**2 + 6*d**2 + (4*d + 3 - 3)*(-2*d - 4 + 4) + d**2 + d**2 + 0*d**2).\nAnswer: 36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 - 7*h - 4. Let p be x(-6). What is the third derivative of 185*y**3 + 44*y**p - 148*y**3 - 12*y**2 wrt y?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = 4*v - 55. Calculate the least common multiple of 43 + v + (9 - 3) and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1130 a factor of 78764037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cubbbbyeb. Give prob of sequence ueb.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46761.\nAnswer: 3, 11, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-168)\/(-5) + 2 - (-141)\/(-235). Suppose s*u = -0*u + 31290. List the prime factors of u.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 235\/75 - (1 + 26\/(-30)). Suppose 0 = z + 7 - 8. Suppose 11 + z = -d*k. Which is the nearest to 0?  (a) -1  (b) k  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-742)\/4 + 10*(-7)\/(-14). Let k = x + 180. Suppose 0 = a + a. Is a < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110101101222 (base 3) in base 16?\nAnswer: -3b846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 2*a - 15 = 3*h, -5*a + 41 = -4*h. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2492*u**5\/19 - 10862*u**4\/19 - 7352*u**3\/19 - 1272*u**2\/19 = 0. What is u?\nAnswer: -318\/89, -1\/2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -8*r**3 + 2*r**2 - 2*r + 53. Let k(w) = 9*w**3 - 2*w**2 + 2*w - 53. What is -4*k(l) - 5*s(l)?\nAnswer: 4*l**3 - 2*l**2 + 2*l - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -429 by -13.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1773)\/(-197))\/(1*1\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1470 = -2*v - 5*c, 3*v - 5*c = -0*v + 2230. Suppose 6*r + v = 11*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 173824582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 6314917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of j**6\/900 - j**4\/60 + j**3\/2 + 4*j. Let b(s) be the second derivative of z(s). Suppose b(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4422 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 7, l: 1}. Give prob of sequence xx.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -657*h - 191352 = -236685 for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 80 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 26*r - 166 = 0, 2*n + 3*n + 0*n = -3*r - 30 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-4 + 1*sqrt(637))*3)**2 + -2.\nAnswer: -504*sqrt(13) + 5872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22275125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/6)\/(1\/(-12)). Suppose y*l = l. Suppose l*k - 4*k - o = -11, 0 = -4*k - 5*o + 23. Solve -5 = k*f - 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 446866*s**3 - 3*s**2 - 89*s + 465320494 wrt s?\nAnswer: 1340598*s**2 - 6*s - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 3 - 0) + 5. Suppose s*d - 7*d = -l + 43, 5*l = -5*d + 305. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 41789.01l?\nAnswer: 41789010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -10. Let y = a + -7. Let r = -1 - 4. Sort y, -1, r in descending order.\nAnswer: -1, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24ac9 (base 15) to base 5.\nAnswer: 12222224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3, 32, 81, 150, 239, 348?\n\"Answer: 10*h**2 - h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.8 - 10136606808.\nAnswer: -10136606813.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 2*d - 12. Let g = -1.07 - -0.07. What is the third smallest value in 3, d, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000819198835 to seven decimal places.\nAnswer: 0.0008192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/5  (b) 22939  (c) 89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.04 and 0.0712.\nAnswer: -0.002848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 684*q + 685*q - 25 = 0, 2*a = -4*q - 26 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dbllllblbbllbbl. What is prob of sequence dlbd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of 2*k**3 - 3*k**2 - 3*k. Let g be x(4). What is the highest common factor of 63 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 6:45 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 0. What is the second derivative of 5*j + 0*j**l + 43*j**5 - 48*j**5 + 0*j**4 wrt j?\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 120*s**2 - 152*s - 45739. Calculate b(-118).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 89*r**3 + 2*r - 1. Is m(1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 20*z - 21*z + 3 + 26*z. What is the tens digit of t(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20694 + 173*x**3 - 20705 + 41399.\nAnswer: 173*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21267.974 - -9312747.\nAnswer: 9334014.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 140 and 33530?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 52317.08 and 0.1589071.\nAnswer: 52317.2389071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1435 - 1434.99998658. What is v rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s - 14*s = 10*s. Suppose 7*v = 2*v + 10, -5*j - 3*v = -16. Factor 3*y**3 + 0*y**j + 9 - 2*y + s + 3*y**2 - 13*y.\nAnswer: 3*(y - 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54, -73, -106, -159, -238, -349?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 474352517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 30\/198 - ((-24)\/(-72) - 17\/33). What is the closest to t in -0.1, -1, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 7*l**3 + 9*l**3 - 11 + 11*l + 10*l**2 - 4*l**3. Let i = 1 + 1. Let s(c) = c + 5*c**2 + i - 3 - 6*c**2 + c**3 + 2*c**2. Give -22*s(t) + 2*y(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 133 = 184. Which is the smallest value?  (a) o  (b) -4  (c) 0.5  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -73832031 and 54.8.\nAnswer: -73831976.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**5 + c**5 - 5*c**5 + (0*c + 0*c - 2*c)*(-c**4 + c**4 - 2*c**4) - 1685731*c + 243*c**2 - c**5 + 1685731*c.\nAnswer: c**5 + 243*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 8:32 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6972 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = 3*h - 5, -389*h = -4501*s + 4496*s + 409 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 696 + 525 - 1081 - 2*l.\nAnswer: -2*l + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 676067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 10:23 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 6*t + 10. Let z be r(7). What is the third derivative of 3*w**4 + 0*w**4 - 3*w**2 - 4*w**2 + z*w**2 wrt w?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2*f - 243. Let r(n) = 2*n + 243. Calculate -3*j(b) - 4*r(b).\nAnswer: -2*b - 243","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 1844.\nAnswer: 5532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -741*d*m + 175*d + 196846*m + 1 wrt d?\nAnswer: -741*m + 175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 103\/4, -2\/5, 3?\nAnswer: 103\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -17, -1, 11 in decreasing order.\nAnswer: 11, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10.62 or 500665?\nAnswer: 500665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0055 + 0.0055. Which is the nearest to k?  (a) -51  (b) 3  (c) 4  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3619 - -5092. Let d = -8777\/6 + o. Find the common denominator of d and ((-1)\/2)\/((-60)\/(-948)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1758, -2459, -4360, -8061, -14162, -23263, -35964?\n\"Answer: -100*h**3 - h - 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + 0)**2 + (sqrt(275)\/sqrt(5))\/sqrt(11) + 4.\nAnswer: sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (10 - (2 + 13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 20 = -4*n, 0*l + 2*l = -4*n + 20. Let w(j) = 3*j + 4. List the prime factors of w(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 7, o: 1, c: 12}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/719 or 1?\nAnswer: -2\/719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16200 and 4590.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 721 - 748. Is 76 a factor of (-5)\/((-45)\/b)*-348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**8*q)**25*(q*(q\/(q\/(q**(5\/2)*q)))\/q)\/(q*q**(2\/13)*q*q) assuming q is positive.\nAnswer: q**(-3891\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 17\/3, -12, -2\/11, 3\/4, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 295, 392, 103, -764, -2401, -5000, -8753, -13852?\n\"Answer: -32*o**3 - o**2 + 324*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of 503*f**7\/70 - f**4\/8 - 5*f**3\/3 + 2918*f**2. What is the second derivative of t(u) wrt u?\nAnswer: 18108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*f - 5*f**2 + 20*f)*(0 + 3 + 2 + 3 - 3 - 1 + (1 - 4 + 1)*(-4 - 3 + 6) - 1 + 2 - 3 - 9 + 2 + 0)*(-3 + 3 + 1)*(-2 + 1 - 2).\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-9 + 9 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 54 or -0.194?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(2 - (-114)\/(-24)) + 7?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 127875669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.1 - 0.9. Let r = 32 - 32.096. Let i = r + -0.004. What is the second smallest value in 5, 0.1, i, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121214.993277 + -6?\nAnswer: 121208.993277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {b: 18, p: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 23*f - 24. Let r be c(7). Suppose 2*h - 427 = -r. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 510195?\nAnswer: 3, 5, 7, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 5*a**2 + 2*a - 45. Does 13 divide t(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*q - 11*q = -5*q + 252. Let p(n) = n**3 - n**2 - 3*n - 4. Let r be p(-2). Is q less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001444196009 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 2*u - 306, 5*u - 762 = -4*q - 0*q. Suppose -10*b = -15*b + u. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16.91 + -17. Let z be ((-1 - 2) + (-3 - -8))\/1. Let a be 3 - (-11)\/5 - z\/10. Put s, 2, a in increasing order.\nAnswer: s, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7\/158 + 36\/79. Suppose -5 = 5*k + 5. Which is the second biggest value?  (a) 5  (b) t  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 5 = -3*h, 12*h = 3*c + 7*h - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1308.248, 4, 1\/2, -3\/5, 1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1760679*d**6*h - 4*d**2*h - 2*d*h + 114*h - 1774 wrt d.\nAnswer: -211281480*d**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 205386126 to the nearest integer?\nAnswer: 14331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**2 - 5*g + 2. Suppose -6*r = -8*r + 42. Let d = 4 - r. Let y = 11 + d. Give o(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llqlqgqlggl. What is prob of sequence lqg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**4 + b**3 - b**3)*(-5 + 1 + 2) - 8*b**4 - 229*b**4 + 12*b**4.\nAnswer: -223*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0\/11)\/(1 + 0). Let y(o) be the second derivative of 2\/3*o**2 - o + 49\/36*o**4 - 14\/9*o**3 + l. What is b in y(b) = 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -3*o**5 - 9*o**4 + 123*o**3 - 315*o**2 + 312*o - 108 = 0.\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.03 - 0.03. Let z = i + -8. Suppose 3*v = v. Which is the third smallest value?  (a) z  (b) 0.1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 plus -1644.77?\nAnswer: -1644.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -8730 divided by -3\nAnswer: 2910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*(0 - -2)*1. What is the tens digit of 20 - (-1 - u) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 9*z**4 - 16*z**3 - 20*z**2 - 21*z - 13. Let p(h) = 4*h**4 - 8*h**3 - 10*h**2 - 10*h - 6. Let s(i) = -13*p(i) + 6*v(i). Solve s(l) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -28*i + 4. Let u(h) = -27*h + 3. Calculate 4*o(n) - 5*u(n).\nAnswer: 23*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d**2*r*z - 3*d**2*z**2 + 5*d*r*z - 3*d*r + r*z**3 + 12*r*z**2 wrt z?\nAnswer: -6*d**2 + 6*r*z + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3191 = 490*y + 2400 - 5089 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 462560989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.6 and -335.80213.\nAnswer: -201.481278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/((-15)\/81))\/((-833)\/85 + 9)?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (-54)\/(-6 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 (base 12) in base 2?\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 6 - 4*j**4 - 38*j**3 + 38*j**3 + j**4 + (-j**3 + 0*j**3 + 2*j**3)*(-2*j + j - j) to the form u*j**2 + q*j**4 + a*j + v*j**3 + s and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -13124*h**2 - 7*h - 11. Let f be q(-8). Let k = 240109 - f. What is k rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -52.7 + 53. Which is the third smallest value?  (a) 2\/11  (b) 0  (c) x  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**2 - 2*f**2 + 2*f**2 + (11*f - 15*f - 25*f)*(-6 + 4*f + 6)*(-2 + 2 + 1).\nAnswer: -114*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 4*d - 32, -4*n - 2*d + 6*d = -24. What is the remainder when 37 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -23  (b) 1742  (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r + 8. Let j be c(7). Solve 0 = -0*q - 3*q - j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7566 and 423579?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 598776 and 1098.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2, -227\/5, -0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -249391275?\nAnswer: 748173825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30083 + 263753 = 10*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/4*-18*(-7)\/105*4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -6*q**2 + 49*q - 183. What is v(4)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (85\/(-20) + 10\/40)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1862591*a**3*h - 21*a**3 - 43761*a**2*h + 5*a - 44 wrt a?\nAnswer: -11175546*h - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2868 and 7410984.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 + 52*y - 667. Let n be m(25). Solve -3*k + n = 2*f, 10*k - 8*k - 3*f - 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 1497*h**2 - 39691*h + 19. What is v(27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 n when four letters picked without replacement from {n: 5, h: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3666)\/3055)\/(1\/(-40)*-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16432317 divided by -1825813.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/59 in 2\/5, 2.2, -5, -2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 7*q**2 + 2*q - 2. Suppose -4*a + f = 4, 2*a + 3*f + 7 = -9. Let s be b(a). Suppose s + 29 = 3*h. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -4*m**3 + 9*m**2 - 2*m. Let v be (3 + 0)*20\/6. Suppose -s = s - v. Let r(q) = 3*q - 4*q + 201*q**3 + 5*q**2 - 203*q**3. Give s*r(n) - 3*k(n).\nAnswer: 2*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 m, and 1 i when three letters picked without replacement from xaiicppm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13d64a (base 15) to base 11.\nAnswer: -5a3737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 40.06298g?\nAnswer: 40062.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3 + 23*r**2 + 1674*r - 16200.\nAnswer: -(r - 50)*(r - 9)*(r + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22 - -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 3.27  (b) 0.2  (c) 3  (d) -0.04  (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401388?\nAnswer: 2, 3, 13, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = 9 + 3. Calculate the highest common divisor of 8 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -710 (base 12) to base 10.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19028 is divided by 6342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2727418.\nAnswer: 2, 37, 36857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(-14)*8*11\/594?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6.7 and -0.02.\nAnswer: -0.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -229596756*s**2 - 434955345.\nAnswer: -459193512*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 838 a factor of 1704076097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j\/j**(-9)*j**3)**(-16\/3) assuming j is positive.\nAnswer: j**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 49766 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: Convert 1171172 (base 9) to base 3.\nAnswer: 1012101012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 1105922 = -2*w, -5*d - 2764825 = -5*w + d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-28)*(-1089)\/363?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*1*sqrt(119))\/(sqrt(7)*-4*-4).\nAnswer: -3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - 1. Let s be ((-32)\/(-40))\/(1\/o). Put -3, s, 3 in ascending order.\nAnswer: s, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0125374231 to five dps.\nAnswer: -0.01254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 AM and 9:10 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 4*q + 96 = 0, 67 + 15 = 3*x - 2*q. Suppose -x = j - 59. What is the remainder when j is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -124 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 3*q - 5*q + 28 = 0, -14 = -3*d - 4*q. Suppose 5285 = d*h + h. Find the first derivative of -755*a - 4*a**4 + h*a - 17 wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 270 = -3*t, -3*o - 3*t + 258 = -0*t. Let a = o + -54. Calculate the remainder when a is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q + 7. Let d be y(12). Let p(j) = -j**2 - 12*j + 2. Let h(w) = w**2 + 8*w - 1. Let s(x) = d*p(x) - 7*h(x). Determine s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 8*z**2 - 4 + z**3 + 1 + 0*z - 9*z. Let t = 61252 + -61261. What is b(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 372*h + 8031506 - 8012534 = 0 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12350 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 60 = 4. Let i(o) be the first derivative of 5*o**4\/4 - o**3 + o**2 - 2*o + 14. Let m be i(3). What is the highest common divisor of p and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 19*c - 71702, 2*c + 10167 + 18437 = 2*a. Is a a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 41, 104, 179, 272, 389, 536, 719?\n\"Answer: r**3 + 56*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -2652.07997 to the nearest ten.\nAnswer: -2650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ktk when three letters picked without replacement from {t: 2, k: 9, b: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2 = 3*g. Solve 7*a + 5 = g*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/((-10)\/14) - (16 - 18). What is the third biggest value in w, 20, 3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18 + 37. Let z = u + -16.4. Let n = z - 0.6. Which is greater: -0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2319, 2323, 2329, 2337, 2347, 2359?\n\"Answer: o**2 + o + 2317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 + 60 = -c. Solve c*s = -5*p - 2, 5*p = -3*s + 1 + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1a9c3c + 8?\nAnswer: 1a9c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**4 + 130*a**3\/3 + 322*a**2 + 882*a + 1372\/3.\nAnswer: 2*(a + 7)**3*(3*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 0.4, -2\/5, -1, 8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/2 - (1 + 2). Let n = x - 6. Is (-9)\/n - 339\/(-12) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -2*a + 108, a + 2*g = -2*a + 163. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 618*y + 146. Does 10 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12bc57 (base 13) to base 7.\nAnswer: 3602414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = 18*h + h. Calculate the remainder when 92\/h - (-6)\/9 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**8)\/(y**2*y) assuming y is positive.\nAnswer: y**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**2 + j + 6. Let n be l(0). Let s be (2 + 58)*105\/n. What is s rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10418232 and 30504?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25 - -65. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2674*v**2 - 2*v**3 - 2674*v**2 + 1 - 1.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (((sqrt(63) - sqrt(63)*-1*3) + sqrt(63))\/(sqrt(18)\/sqrt(2)*-2))**2.\nAnswer: 167\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -10460, -20863, -31266, -41669?\n\"Answer: -10403*x - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -22440 at most -19379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 995, 4899, 14613, 33041, 63087, 107655, 169649?\n\"Answer: 484*h**3 + h**2 + 513*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 + 7*u**2 - 10. Let p be k(5). Let g(j) = -j**3 + 4*j**2 - j + 4. Let y be g(3). Calculate the greatest common divisor of p and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q + 3. Let m be l(1). What is the smallest value in -1\/5, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, e: 8, w: 1, u: 7}. Give prob of picking 2 d and 1 e.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15328\/5 + 3066. Which is the smallest value?  (a) -0.3  (b) -2\/3  (c) m  (d) 100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/18154 and -93\/626?\nAnswer: 18154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 5*f - 15 - 20. Let o be (-1)\/((-2 + 3)*1). Let p be o*(-3 + 1) + 2. Calculate the highest common divisor of p and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - z - 15343 = 0, -5075 - 10264 = -3*h + 3*z. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 1 + 3. Let l = u - 1. Let t = -25 + 34. What is the highest common divisor of t and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 2 m, and 1 b when four letters picked without replacement from kkykbmxmkyyo.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9886691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve c**3 - 4*c**2\/3 - 3*c + 10\/3 = 0.\nAnswer: -5\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/14259 and 41\/69258?\nAnswer: 484806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 11, 25, 53, 101, 175, 281?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11276 - -60623. Is 6\/(-18)*i\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of -v**5\/540 + v**4\/24 + 26*v**3\/27 + 2622*v**2. Determine t, given that x(t) = 0.\nAnswer: -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aacc when four letters picked without replacement from {c: 5, a: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 396045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2 + 24037576*j\/5 - 9615032\/5.\nAnswer: 2*(j + 2403758)*(5*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*o + 84 = -47*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 3338148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -38 + 30. Let u(h) = h**2 + 9*h + 12. Let a be u(z). Solve a = -j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-18) + 0)*18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2640?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20 - 9) + -7 - (0 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 + 19*l + 22. What is n(-14)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z + 8. Let w be d(6). Suppose -1 = w*y - y. Is y greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/8, -1\/4, -0.11, -1\/2, 0.08?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -598*y**2 - 25297*y**2 - 5106*y**2.\nAnswer: -31001*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from oobuuyofubnbnffo.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9592 + -9599. Sort -4, 59, -0.03, x in descending order.\nAnswer: 59, -0.03, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.960363 + -2.81822. Let n = -53.857437 - p. Let b = -52 - n. What is b rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*j**3 + 250 + j + 3*j - 250 - 7243*j**2.\nAnswer: 54*j**3 - 7243*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 41*c + 703. Determine l(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum 219169787966086 and 4.\nAnswer: 219169787966090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/3)\/(((-35)\/35)\/(-2*1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 7, 5, -20, -1 in increasing order.\nAnswer: -20, -5, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) - (sqrt(88) - ((3*sqrt(88)*-2 - sqrt(88)) + sqrt(88) + sqrt(88) + sqrt(88))))\/(sqrt(56)\/sqrt(63)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((0 - -1)*-3)\/(-1). Let p be 0 - (-3 - q - -4). Suppose 3*o + 6 = p*b, 2*b - o - 9 = -b. Solve b = -u - 0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 1, -0.3, -2\/3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bquubbqb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 20. List the prime factors of l(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 28*s**5\/9 + 4604*s**4\/9 + 1924*s**3\/9 - 7228*s**2\/9 - 1952*s\/9 + 2624\/9 = 0. Calculate s.\nAnswer: -164, -1, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -779058 or -779059?\nAnswer: -779059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + -23. Let k = d + 50. Suppose -2*v = -7*v + k. Solve -a - f + v = 0, 2*a - 3*f + 1 - 4 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 10*c**2 + 16905*c + 8450 = 0.\nAnswer: -1690, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*l + 5*l + 15, -l + 1 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 0.4, 0.1, -0.2, -1\/6, -3.\nAnswer: -14, -3, -0.2, -1\/6, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 4*b - 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -2, -12, -50 in descending order.\nAnswer: -0.1, -2, -12, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 3 + -5 - -4. Let x(t) = t - 3*t + i*t - 1 - 13. Determine x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -21 and -17499.69?\nAnswer: 367493.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**2 + c - 11. Let d be n(-5). Let l(g) = -8*g + 15 - g**3 + 9*g**2 - 4 - d - 5. What is the tens digit of l(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3*x = -15, 34*x - 225 = -10*z + 39*x. Calculate the remainder when 503 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uf when two letters picked without replacement from nnfuhxxuuufdnndnfuxx?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - j - 7 = 0, 3*r + 14*j - 15*j + 7 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*y = -68*y - 20. Are 18\/5 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s + 23. Let i = 4 + -4. What is the remainder when l(i) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*b - 56. Let t(k) = 3*k - 1. Let y be t(0). Let o = b - y. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in o**4\/5 + 74*o**3 + 3781*o**2\/5 - 62184*o\/5 - 672048\/5 = 0?\nAnswer: -359, -12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -354*y - 3762 = 1328 + 574 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + 11. What is the smallest common multiple of 8 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 93, 541, 1767, 4161, 8113, 14013, 22251, 33217?\n\"Answer: 65*s**3 - s**2 - 4*s + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5116401 divided by -140?\nAnswer: -5116401\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 1:09 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 262168 + 262172 + 55*k + 262168 + 262164 - 1048672.\nAnswer: 55*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1440) + sqrt(1440))\/(sqrt(125)*-2).\nAnswer: -18*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.30849 and 0.5.\nAnswer: 0.80849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 24521 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -374?\nAnswer: -4\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 26, 2996 in descending order.\nAnswer: 2996, 26, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 times -0.036?\nAnswer: 0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9391636 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 3\/310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 15.7 and 142.9.\nAnswer: 2243.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -44 != -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 4*y. Let c(s) be the first derivative of -9*s**2\/2 + 48*s + 2650. Determine c(p(v)).\nAnswer: -36*v + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -5*x. Suppose 1 = -3*h + 7. Let o(r) = -11*r**2 + 9*r**2 + 0*r**2 + 10*r**h. Give o(c(k)).\nAnswer: 200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f + 21. What is q(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = u - 13, -4*c + 3*u + 4 = -14. Suppose -c*v = v - 572. Calculate the highest common divisor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 7*i - 2*x - 6, -3*i = x - 9. Solve -i*h = 2*s - 1, -5*h + 7*h = -5*s + 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 PM and 8:45 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1346?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -23916751 + 3?\nAnswer: -23916748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 644.62722 to the nearest ten.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-9)\/6)\/(3\/(-3574)). Suppose 3*c - 7004 = -4*u, 8795 = 4*u + 4*c + j. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 + 2*g + 1. Suppose u - 2 = -s, -3*u + 0*s = -2*s + 9. Give i(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**2. Let r(b) = -8*b**2 - 2*b - 6458. Give r(h(l)).\nAnswer: -32*l**4 - 4*l**2 - 6458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -5\/3, -11, -0.2 in decreasing order.\nAnswer: 2\/11, -0.2, -5\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -4*r + 4*m, r - 2*m - 11 = -0*m. What is the second derivative of -g**4 - 9*g - 9*g**4 - r*g**4 wrt g?\nAnswer: -228*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 3*p**2 + 25*p + 3. Let r(z) = z - 1. Calculate 2*r(m) + t(m).\nAnswer: 3*m**2 + 27*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, c: 2, z: 4, u: 2, e: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10526*v - 351745 + 327577 = 702126 for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*s**4 - 9*s**2 + 9*s**2)*((3 - 2 + 1)*(6 - 4 - 4) - 3 + 5 - 1 - 2 + 6 - 2 - 1 + 0 - 1).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 42 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 17*a + 174. Let t be x(-10). Let f = 7 + -2. Suppose -f*q = -5*p + 350, q + 3*q = -t*p + 312. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -134*s. Let i(o) = o**2 + o - 1. Let u(h) = -46 + 41 + 9*h + 4*h**2 - 4*h. Let d(y) = 5*i(y) - u(y). Calculate j(d(l)).\nAnswer: -134*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2209572 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: Suppose 0 = 5*h - r, 3*h + 0*r = 3*r. Suppose h*s - 96 = -6*s. Suppose -s*g + 18*g = 182. What is the remainder when g is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 85777\/10 + -8567. Calculate the common denominator of 88\/15 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -33 - -58. Solve t + 5*u + l = -2*t, 4*t + 3*u = -26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 88734272239591 and 2.\nAnswer: 88734272239593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v + 5. Let m be j(5). Let z be (m - (-2)\/(-4))*2. List the prime factors of (0 - z)\/(1\/23).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -855*y**2 + 266 wrt y.\nAnswer: -1710*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/15)\/((-2)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 106534963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 211\/3 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 plus 8500?\nAnswer: 8507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 14*o. Let x(n) = 4542*n. Give x(r(q)).\nAnswer: 63588*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.5 - -0.4. Let m = 0.045 + 38.955. Let v = m - 39. Does z = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in -4, 0.2, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*30.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13938 or -26768?\nAnswer: 13938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = z + 1300, -55*z - 1759 = -4*i - 50*z. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 567659814.\nAnswer: 2, 3, 1051, 90019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*-4*sqrt(152) + sqrt(152))*-4)\/(sqrt(72)\/(sqrt(54)\/sqrt(384))).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -400629 to the nearest 1000.\nAnswer: -401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 0.3, -4, -0.4.\nAnswer: -4, -0.4, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -639 - -638. Let m(j) be the third derivative of 0 + 0*j + 7\/120*j**6 + 1\/30*j**5 - 1\/6*j**3 + 5*j**2 + 0*j**4. Give m(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zcc when three letters picked without replacement from zzzzcczz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, y: 1, g: 2}. What is prob of picking 1 y and 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {m: 2, h: 1, q: 7, c: 5, r: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 6:59 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a + 367. Let z be o(13). Let f(t) = -t**2 - 8*t - 6. Let g be f(-6). Suppose -3*h + z + g = 0. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10 * 76.13.\nAnswer: 761.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -14*w + 8. Give d(-5).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 4*x**3 - 16*x + 29. What is the lowest common multiple of p(2) and 16?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**3\/5 + 4*y**2\/5 - 22*y\/5 - 24\/5 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -6*u + 32. Factor -6*x**u - 9*x**2 + 0*x**2 - 15*x**3 - x + 3 + 6*x - 2*x.\nAnswer: -3*(x + 1)**3*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 4  (c) -54.3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5370 - 5372. Sort -38, -3, o, -4\/7 in decreasing order.\nAnswer: -4\/7, o, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7106 and 697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -822 - -1862. What are the prime factors of s?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -91.286 + 1.336. Let j = 92 + d. Let n = j + -0.05. Is n >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -18, 491 in ascending order.\nAnswer: -18, 2, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51680, 51911, 52154, 52409?\nAnswer: 52676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -97913585 divided by 14465\nAnswer: -6769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 AM and 11:17 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -861*v - 14. Let k be j(-3). Suppose 13*h + k = 7223. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2200020100 + 1010022?\nAnswer: 2201100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttyt when four letters picked without replacement from yyyyytyttyyyyy?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40869 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -6*(-1 + (sqrt(108) + 1 + sqrt(108))**2 - (-2*(sqrt(6)\/sqrt(2) - sqrt(3)) + (sqrt(6)\/sqrt(2) + sqrt(3) + -1 - sqrt(3)))).\nAnswer: -2601 - 138*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -60*h + 7641. Let d be r(127). What is the greatest common divisor of d and 1944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(2\/5))\/(q*q*(q*q*q**(-2\/37))\/q))\/(q**4*(q**14*q*q*q)\/q) assuming q is positive.\nAnswer: q**(-3986\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*v = -38 - 28 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**4 - 128347*m**3 - 5490256644*m**2 - 78243452787728*m + 1331726012213824.\nAnswer: -(m - 17)*(m + 42788)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/101 in -2\/3, 0, -2\/11, 189, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of 1\/3*f**3 - 1\/12*f**4 + 0 + 0*f - 2*f**2. Determine l(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56620638409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 835, 836, 837, 838, 839?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*x**2 - 2 + 2)*(-3*x - 3*x + 5*x) + (3*x**2 - 4 + 4)*(0*x - x + 3*x) - x**3 + x**2 - x**2 as m + u*x**2 + i*x**3 + n*x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (11 - (1 + -4)) + (-1 - (-3 + -6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 41*l - 20. Let x be m(-7). Let n = x - -567. Determine f so that -125*f**3 + 625*f**4 + n*f + 109*f**2 - 493*f**2 - 66*f**2 - 40 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 - 16*t - 42. Determine c(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0113 and 0.31.\nAnswer: -0.003503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*h**5 + 19*h**6 + 271*h**2 + 162*h**2 - 11*h**6 - h**5 - 17*h**6 wrt h?\nAnswer: -1080*h**3 + 1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 149*h**2 + 1617*h + 15. What is the hundreds digit of d(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11496 + -11472. Calculate the highest common factor of 720 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 n, and 2 b when four letters picked without replacement from {a: 1, l: 1, b: 2, e: 2, n: 1, o: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 634949 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 331723128103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 64.68327 years in centuries?\nAnswer: 0.6468327","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 7:31 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/25 of a microsecond in nanoseconds?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/3553163 - 302014103\/8442315288. What is the common denominator of q and 151\/24?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -5*i - 9 + 25, 3*p + 4*i - 17 = 0. Solve 3*k + 32 = 4*c, 4*c + p*k = -0*c + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f = -2*a + 15*f + 10, -5 = 4*a - 3*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.5 - 1. Let x be ((-278)\/(-5))\/(-7 + 238\/35). Let p = x - -832\/3. What is the second smallest value in f, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-126)\/(-56))\/((-75)\/20))\/1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 + 3*m + 1. Give w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -12*k - 29*k + 36*k. Let a = -32 - -26. Let t(j) = 5*j. Calculate a*f(v) - 5*t(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - 12*b - 60. Let o be a(16). Let w(y) = y**2 - y + 1. Let j(h) = -7*h**2 + 5*h - 4. What is o*w(l) + j(l)?\nAnswer: -3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 84, 177, 274, 375, 480?\n\"Answer: 2*k**2 + 87*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114347249.\nAnswer: 114347249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011100001101 + 1000110011?\nAnswer: -10010011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = h - 8*d - 381 + 412, 2*h = -2*d + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2 + 8*f - 45. Let a be s(4). Solve 0 = -a*c + 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -92 + (-13 - -57) - -90?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2904180313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of 3 + 1\/9*p**3 + 1\/3*p - 1\/3*p**2. Find n, given that m(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - 0. Let p be (v\/(-3))\/((-8)\/12). Let q = 2 + p. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 3*x. Let f(a) = 485*a**2 + 2096*a + 2. Calculate f(k(v)).\nAnswer: 4365*v**2 + 6288*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.3, -51, -4\/7 in decreasing order.\nAnswer: 4, 0.3, -4\/7, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b**2 + 5*b - 4. Let a(m) = -4*m**2 - 6*m + 5. Let f(j) = 4*a(j) + 5*u(j). Let v be (-195)\/585 - (-10)\/(-6). What is f(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -2420305?\nAnswer: -2420313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 20 = 3*q. Suppose d + q = 18. Let x = 15 + -2. Calculate the greatest common divisor of x and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 7:55 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -272 - (1*(-14)\/(-2) + -4). Let u = -267 - m. Calculate the remainder when 61 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - r + 1640 = -1767, -4*z + 3398 = -2*r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15093769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 7.5 and 236.\nAnswer: 243.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*t - 3*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 4*h**3 + 24*h**2 + 42*h - 55. Let z(k) = k**3 + 12*k**2 + 21*k - 28. Suppose -38*u - 185 = -u. Let w(d) = u*z(d) + 2*i(d). Let w(x) = 0. What is x?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 25 = -5*b. Suppose 3*d = -2*d. List the prime factors of 7*(-2 - b) + d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12*0.16\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7\/306 + 3\/34. Let r = -0.3 + 0.1. What is the nearest to r in -2, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - d**2 - 3 + (405 + 57*d**2 - 405)*(6 - 3 - 1) + 34*d - 34*d - 24*d**2 to the form p*d**2 + t*d + s and give p.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from gmgqqgglgmqqlu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1049896629.\nAnswer: 3, 479, 243539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/10)\/((-2)\/(-12)). Let h(s) = -18 + x*s**2 + 18. Let i(v) = v. Determine h(i(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-48)\/(-24))\/((4\/(48\/4))\/(3705\/(-171))).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 421*b - 1001 - 1946 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*g - 1794 - 858 = 0 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of -253*v**5\/4 - 808*v**2 - 1504*v. Find the first derivative of i(s) wrt s.\nAnswer: -3795*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 + 21. Suppose -2*x + d = 3*x. Calculate the smallest common multiple of x and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 78\/8 - 56*(-5)\/(-40). What is the second smallest value in -0.2, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -201 - -10?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 5*z - 8. Suppose -z = l - 5*g, l + 7 = -4*g - 28. Is -22 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o = -5*o - 20. What is the first derivative of 16 + 30*x**o - 21*x**3 + 21*x**3 wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13.1 + 13. Let m = 0 + x. Let u = 2 + -2. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*y + 8*y - y + 7*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*v**2 + 3 - 5*v**3 + 11*v + 5 + 95*v**2 - 41*v = 0. What is v?\nAnswer: 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 72\/5 of a meter?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 20, 0*o - 2*o = i + 13. Calculate the remainder when 23 is divided by i\/((-15)\/24)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*k - 9 + 9)*(-74 - 91 - 70) to x*k + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3786 divided by 192\nAnswer: -631\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (150\/(-20))\/(-15)*3*4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 3 - -1)\/(-3) + -15. Let k be (8\/10)\/((-1 - 0)\/f). Calculate the greatest common factor of 96 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 324 + 342*y + 118*y**2 + 46\/3*y**3 + 2\/3*y**4 = 0?\nAnswer: -9, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/2 + -2 + 4. Let d = 3 + -5. Sort d, -5, a in ascending order.\nAnswer: -5, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -270 - 286 = 30*x - 91*x + 1335 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(297))\/sqrt(11).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23169403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 85752 and 1944.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**12*w**0*((w**10*w*w)\/w)\/w*w**(-6\/7)*w assuming w is positive.\nAnswer: w**(155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 155\/31*6\/70*-2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 1 = 5. Let x be v\/(5 + 1)*8. Which is the closest to -2\/7?  (a) x  (b) -3\/4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-144.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 255 = 85. Let x(s) = s**2 + 7*s. Let l be x(-5). Let j = f + l. Solve 5*y - 3*h = h + j, y - 4*h = 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 288008.\nAnswer: 2, 7, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 399.6 > 104\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(8\/9)*q)\/(q*q\/((q*q*q**(-4\/3))\/q)*q*q*q))\/(q\/(q\/(q**6*q)))**(-15\/7) assuming q is positive.\nAnswer: q**(104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -733445 + 733445 - 43*w.\nAnswer: -43*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 25 + -45 + -6 + 68\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from vvvvvvvvvvnvvvvvvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c**5 - c**5 - c**5 + (-1 + 1 + c)*(6*c**4 - 4*c**4 - 14*c**4).\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of -r - 13\/6*r**3 + 0 - 4*r**2 + 37\/4*r**4. Let c be l(-9). Round c to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 944 is divided by 233?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(425) + -2.\nAnswer: 1 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9289, -7173, -5063, -2959, -861, 1231, 3317?\nAnswer: 5397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 3*f + 2*f - 15, -2*f + 18 = 2*s. Let l = s + 4. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hf when two letters picked without replacement from ffhffh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5 + (-3 + -1 + sqrt(1584))**2 + -3)*-2.\nAnswer: -384*sqrt(11) + 6408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 130 = 10. Suppose 0*q = -5*q - 5*v - p, 5*v - 20 = 3*q. Sort -3, q, 63 in ascending order.\nAnswer: q, -3, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4397 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**3*b*b*b**(-5)*b)**(-4\/7))**(-2\/81) assuming b is positive.\nAnswer: b**(8\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/(t*t\/t**(3\/4)*t)))\/t**(-3\/5))**30\/((t*(t\/t**1*t)\/t*t\/t**5)\/(t*t*t**(2\/5)*t)**(-17)) assuming t is positive.\nAnswer: t**(307\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxexexxxxxxxx. What is prob of sequence xxx?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 665139929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2453367163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -835 + 837. Which is the third smallest value?  (a) k  (b) -0.6  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/12  (b) -2\/1321  (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b - 3170 = -52128. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-24))\/(49\/(260190\/20)). Is c less than or equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + -2 + 3*1. Let k = -0.05 + -0.05. Let r = k + 0.5. Put d, 5, r in increasing order.\nAnswer: r, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/15 - -1*1. Let t be 570\/(-304) - (2 + -4). Let f = -0.2 + 0.1. What is the biggest value in p, f, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 855*o**2. Let a(j) = -4*j**2 - 4*j - 24. Let y(s) = 27*s**2 + 30*s + 180. Let h(x) = 15*a(x) + 2*y(x). Calculate r(h(c)).\nAnswer: 30780*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 11\/15 - 4\/10. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (47\/(235\/12))\/((-8)\/(-30))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/2 - 0*3\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 11. Let n be 0\/(f\/3) + 4. Let z = 3 + n. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 5*g + 1 - 5, -5*f = 20. Let q = -3 + 5. Solve -2*y = 5*b + g, -4*b - 7 + q = y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h - 20 = -13*h. Let s be ((-2 - -2) + h)*(-338)\/(-8). What is the highest common divisor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*o**3 - 1 + 39*o**3 + 5*o - 15*o**3 + o**2 in the form x*o + i*o**3 + j*o**2 + p and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 99638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 + 10*f - 1. Let v be x(-10). Suppose -6*w = -11*w - 5. Let g(d) = -d. Let m(h) = -1 + 7*h + 5*h - 15*h + 5*h. Give v*g(z) + w*m(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1465187552?\nAnswer: 2, 1213, 37747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10034 + 10049. Let r(s) = -s**3 + 17*s**2 - 31*s + 28. What is r(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (890\/(-2225))\/((-2)\/(-45))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + -14. Let x be 4\/i + 32\/12. Let d(l) = -l - x*l + l. Let o(z) = -2*z. Calculate o(d(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*d + 540 = 59*d. Calculate the least common multiple of d and 25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18124 divided by 9062\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-68)\/18 + 3 - -1. Let g be 14\/16 - (-3)\/(-6). What is the second smallest value in c, -1\/3, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 0*a + 21 = 3*z, -5*z = -a - 59. Put -5, z, -2 in descending order.\nAnswer: z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23565394.\nAnswer: 2, 31, 373, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -4*((1 + sqrt(684))**2*1 + 0 + 0 + sqrt(684)) + 0.\nAnswer: -2745 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 70\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(66) - 2*sqrt(66)*-2) + sqrt(66) + sqrt(66))\/(2*sqrt(600))*5.\nAnswer: 35*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*x**2 - 68265 + 68265.\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrplllljljlrddr. Give prob of sequence dll.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, w: 5, z: 4}. Give prob of picking 4 f.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y**2 - 2*y - 2 + 2*y)*(-439*y + 1137*y + 428*y).\nAnswer: 3378*y**3 - 2252*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/5 + 39516*z\/5 + 874192.\nAnswer: -2*(z - 19868)*(z + 110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 109 - 109. Suppose 5*c = -4*h - 6, 3*c = -h - 4*h - 14. Suppose -2*n + 2 = -0*n. Solve -c*q - n - 5 = b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13328 - -13366. What is the highest common divisor of 5738 and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1671 divided by -4.\nAnswer: -1671\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*k**2 - 13 - 38*k**2 + 14)*(4 + 1 - 7).\nAnswer: 24*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*p**3 + 8*p**3 + 15*p**3 + (-6*p**2 + 2*p**2 + 3*p**2)*(3*p - 4*p - p) - 21*p**3 - 575*p + 575*p to y*p**2 + w*p**3 + l + f*p and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-48)\/(-312) - 460\/(-52). Solve 141*d + r = 138*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23312231 (base 4) to base 11.\nAnswer: -33533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2528283, -2 in decreasing order.\nAnswer: 1, -2, -2528283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 2:25 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -6. Let w = -15 + -17. What is the units digit of (-3)\/(-1) - (z + w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/((p*(p*p*p**0)\/p)\/p)*p\/(p**(-3\/8)\/p))\/(p**(2\/3)\/p)**(2\/43))\/((p**(3\/2)\/(p\/(p\/p**(4\/5))*p*p))\/(p**(-2)*p*p**1)) assuming p is positive.\nAnswer: p**(24203\/5160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1091 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1419614795?\nAnswer: 5, 283922959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3415\/3 - -1125. Let n = -13 - l. Let 0*d + n - 1\/3*d**2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -0.4. Let g = -2.5 - 0.5. Let n = -324 - -325. Which is the closest to n?  (a) 2\/3  (b) j  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -8*x - 4*x + 20 + 14*x. What are the prime factors of o(10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((0 + sqrt(5) + -1 - sqrt(720)*-4)**2 - (0 + -2*sqrt(500))*6).\nAnswer: 22*sqrt(5) + 12004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -844*s - 4 = -3*n - 843*s, -4 = s. Suppose 0 = v + 2*v - 36. Suppose 5*f = 6*f + 2*u - 41, n = 4*u + v. Is f a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -357, -348, -351, -372, -417, -492?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 53.056634 to 0 dps.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 0*v + 3*a = 57, 4*v + 3*a = 81. What is the greatest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 126 = 9. Let q(p) = p**2 - 3*p. Let x be q(6). Calculate the greatest common divisor of x and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169*x + 78*x + 44 = -80*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3057868 is divided by 10508?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -90*z + 87*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -44 + 25975019?\nAnswer: 25974975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 + 20. Let i(o) = -o**3 - 3*o**2 + 14*o - 2. Calculate the lowest common multiple of v and i(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 124.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22024 by 2.\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 3*u - 9. Let f(z) = -z**3 - 8*z**2 + 8*z - 5. Let r be f(-9). Let x be c(r). Find t such that t**4 + t**2 - 3*t**3 - 2*t**3 + x*t**3 + 0*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6509154 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 + 12 = -2*y. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 1 = 1. Let r be -2*z*(-3)\/(-6). Suppose 4*p = 5*j - 15, 4*j = p + 14 - r. Solve -4*n - n - 10 = p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 18506861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 261*r - 5. List the prime factors of i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 + 4915 + 1890 + 1191 - 1 - 3 + 2 + (2 + 3 - 4)*(1 - 2 + 0) + 0 - 2 + 0)*(w - w - 2*w**2).\nAnswer: -16028*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1092 + 1244. Calculate the greatest common factor of x and 1368.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 577 + -104. What are the prime factors of y?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -269106\/37 or -7272?\nAnswer: -269106\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 14513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of o**5\/60 - o**4\/2 + 31*o**3\/6 + 12*o**2. Let g be q(9). What is the second derivative of w**g + 3*w - 4 + 4 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 10, 3.\nAnswer: -5, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 220*r - 221*r = -11, 4*z + 12*r = 52 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2906, -5332, -7768, -10226, -12718, -15256, -17852, -20518?\nAnswer: -23266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -6. Let x = -619\/44 - -57\/4. Let s = -118.1 + 118. What is the closest to s in g, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {p: 2, k: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 + 35. Suppose k + 2*x + 602 = r*k, -1502 = -5*k + 2*x. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 AM and 3:54 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahdawmhhaaddhhwhhddd. Give prob of sequence dd.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 1410200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -4.2  (b) -0.3  (c) -17  (d) 0.7  (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -0.648194, -26, -5 in ascending order.\nAnswer: -26, -5, -0.648194, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {q: 5, o: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 - 7*u**2 - 24. Let n be t(8). Suppose -9*z = z - n. Suppose -7*y = z*y - 22. Which is the nearest to 1?  (a) y  (b) 1\/8  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48496.\nAnswer: 2, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10112 - -23230?\nAnswer: 13113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 1, -0.11, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (-16 - -11 - (-1 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19.6 + 20. Let j = 4.6 + g. Let k = -7.93 - -7.75. Is k smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -145?  (a) 1\/6  (b) 2\/3  (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 10901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00090398 rounded to five dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(1\/4)*x*x**(-15)*(x**(-1\/6)\/x)\/(x\/(x\/(x*x*x**(-16)*x))) assuming x is positive.\nAnswer: x**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 87\/21 - (0 - (-2)\/14). Let m be (6\/n)\/(1\/(-1 + -1)). Let x(b) = b**2 + 2*b + 2. What is x(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (484\/90 - (-22)\/55) + -6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -50*w**5 + 6*w**2 + 40?\nAnswer: -3000*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 + 3*s**2 + 24*s - 2. Let b(z) = -2*z**3 - 7*z**2 - 47*z + 5. Determine -3*b(k) - 7*u(k).\nAnswer: -k**3 - 27*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k + 1284544 + 1817492 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/7, 0.1, -0.5, 0.2, -2, -5\/4, 21234?\nAnswer: 21234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-12))\/(3\/((-90)\/50)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.622 and 27780441.66.\nAnswer: 27780443.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7, 5850510 in ascending order.\nAnswer: 3, 7, 5850510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.363 + 169644215921.\nAnswer: 169644215921.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2243 + 2243 + 69*v**2)*((2*v - 18 + 18)*(v**2 - 4*v**2 + 4*v**2) - 2*v**3 - v**3 + 4*v**3).\nAnswer: 207*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 313*v + 311*v + 316*v + 319*v - 1263*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5431 is divided by 1787?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*c, -z + 459292 = 7*z + 4*c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**3 + 3*f**2 - 3*f**2)*(-1 + 0 - 2)*((-7 + 1 + 1)*(2*f + 2 - 2) - 2*f - 3*f + 2*f + (-3*f - f - 2*f)*(0 - 1 + 0)).\nAnswer: 42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1371 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8312502 millilitres to litres.\nAnswer: 0.0008312502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20 + 25. Solve 2*r - 2*m = 14, 0 = -g*r - m + 2*m + 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.3138, 1 in ascending order.\nAnswer: 0.3138, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 92431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72 and 21528?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2cc + -3a17b0?\nAnswer: -3a1a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxxxxxxxa. What is prob of picking 3 x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*r**2 + 36901*r**3 - 2 - 36923*r**3 - 8*r + 4*r**4 + 3 + 3*r**2 - 3*r**4 to the form l*r**3 + u*r + c + p*r**2 + v*r**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1270 + -371. Is h a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from oqnnwnnqqnnqqgn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 220, 434, 648, 862, 1076, 1290?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/36 and -143\/27438.\nAnswer: 164628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/75)*w*w)\/(((w*w**43*w*w)\/w*w)\/w))**(-6) assuming w is positive.\nAnswer: w**(6448\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3 + -2 + sqrt(243) - (sqrt(243) + 3 + 2 + sqrt(243)))**2.\nAnswer: 180*sqrt(3) + 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qtsslwhq. What is prob of picking 2 q and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11002111000 (base 3) to base 11.\nAnswer: 5556a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -139  (b) 5  (c) -2  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 1101 = z, 0*b + 15 = 5*b. Suppose 0 = -3*y + 3*f + 1086, 3*y + 10*f - 7*f = z. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -13.3 and 38496?\nAnswer: 38509.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4d75 (base 15) to base 12.\nAnswer: -969b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 2 - -11 - 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, v: 1, u: 11, c: 2, e: 1}. Give prob of sequence umvu.\nAnswer: 11\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127 + 300 + 31*j - 126 - 47.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2385929805 divided by -3?\nAnswer: 795309935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -m*u**4 + 21751798*m*u**2 - 19605033*u**5 wrt u?\nAnswer: -24*m*u - 1176301980*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 8:59 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -38  (b) 5\/2  (c) -223\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*j = -2*q - 63, -391 - 153 - 9 = -j + 25*q + 73 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13222 and 169224.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z - 1. Let o be k(-4). Suppose o*w - 6 = w. Let q(c) = c**2 - 1. Give q(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p - 5*p + 2*p)*((-18 + 15 + 13)*(p**3 + 1 - 1 + (3*p - 4*p + 3*p)*(2*p**2 - 2*p**2 - 2*p**2)) + 1 + 2*p**3 - 1).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9589*h = n + 9601*h - 141, -n = -h + 5*h - 45 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-23)\/((-506)\/440).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -40*j**3 + 8*j**2 + 4*j + 4. Let z(t) = -40*t**3 + 6*t**2 + 2*t + 3. Let k(o) = 3*r(o) - 4*z(o). Let m(n) = 10*n**3 + n. Give 2*k(h) - 9*m(h).\nAnswer: -10*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -12499587.672 to the nearest one hundred.\nAnswer: -12499600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 89.37148 litres?\nAnswer: 89371.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 484*r + 328. Calculate h(-1).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -892\/3 + 291. Let v = h - 229\/6. Find the common denominator of 53\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 3 - 2*l**2 - 1 + l**2. Let d be u(2). What is the units digit of -1*d\/(-1) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 23856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**2\/19 - 3204*c\/19 + 22526\/19 = 0. What is c?\nAnswer: -1609, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2472349501.\nAnswer: 45181, 54721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of o**5\/15 - 21*o**2 + 45. Let a(y) = -11*y**2 - 6*y**2 + 0*y**2. Determine f(a(g)).\nAnswer: 1156*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1194996 divided by -27159.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331)*1 + sqrt(1331))**2 + (0 + sqrt(99) - sqrt(99))**2 + sqrt(11).\nAnswer: sqrt(11) + 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + n**2 - n + 28. Let x be t(0). Suppose 10*o - 2*s - 35 = 5*o, -x = -4*o + 3*s. Calculate the remainder when 60 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tzztt. What is prob of picking 1 t and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9329 = -26*d + 19*d + 26*d. Is 13 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71488305 a multiple of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-392)*-8*8.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124*n + 11371 = -6981. Suppose -3*t + 135 = -96. Let f = n - t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 - 3*w**2 + w**2)*(1777*w**2 - 5*w + 3 + 8*w - 1775*w**2).\nAnswer: -2*w**4 - 3*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-2) - (-11)\/2. Let z be 1\/l + (-22)\/(-12). Let c = 3 - z. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -23567416 + 1?\nAnswer: -23567415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -142 + 127.6. Let b = -2.4 - a. Let w = -12.00000045 + b. Round w to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33 - -51. What is the lowest common multiple of f and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -5 + -1*((sqrt(288) - sqrt(288)*2*-4) + sqrt(288) + sqrt(288) - sqrt(288)))**2 + 3.\nAnswer: 1440*sqrt(2) + 28839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1189650, -2379534, -3569656, -4760022, -5950638, -7141510?\nAnswer: -8332644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + (5*sqrt(15)\/sqrt(3) - sqrt(5)) + -3 - (sqrt(320) - (2 + (sqrt(320)*-2)**2)).\nAnswer: -3*sqrt(5) + 1279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (36\/240 + (-2)\/(-8))\/(38\/(-380))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 8200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5260171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4352 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1553309.\nAnswer: 1553309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g + 3*g + 2*g - 12)*(-5 + 1 - 4 + (-1 - 3 + 2)*(-3 + 0 + 2) + 0 - 1 + 3)*(5 - 4 + 6) + (2 + 0 - 1)*(-3*g + 0*g + g).\nAnswer: -30*g + 336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 23059627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1154.85176 to the nearest ten.\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from jaajnnnnjrnnag.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/5 + (5\/245*333 - 4)\/5?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 3*n - 11, -4*n + 32 = 2*f + f. What is the third derivative of 4*h**2 + 3*h**f - h**3 - h**3 + 19*h**2 + 4*h**3 wrt h?\nAnswer: 72*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ef when two letters picked without replacement from ssfeeveeevvsvvv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 288, 285, 272, 243, 192?\n\"Answer: -f**3 + f**2 + f + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.71175 + 0.43832. Let j = 0.277 + a. Round j to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27754383 divided by -3?\nAnswer: 9251461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 42449159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*m**4 + 3*m**2 - 3*m**2 + (-2*m**3 + 0*m**3 + 4*m**3)*(3 - 3 - m) - 1159*m**4 + 5811*m**4 + 1860*m**4 + 23*m**4.\nAnswer: 6538*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1217, -2446, -3683, -4928, -6181, -7442?\nAnswer: -8711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0842 + 0.084573. What is u rounded to five decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8.8 - -10. Let f = 3.2 + l. Let j = -5.4 + f. Which is the nearest to 0.2?  (a) 0  (b) j  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 564 = -0*i. Is 27 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 + 20. Let l = 1 + 1. Suppose -4*g - 18 = -b, 0 = 9*g - 6*g + 12. Solve l + k = b*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5080279570, -5080279565, -5080279548, -5080279513, -5080279454, -5080279365, -5080279240?\n\"Answer: k**3 - 2*k - 5080279569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a - 1. What is y(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 6*z**2 - 4*z - 3. Let c be r(5). Suppose -p = c + 2. Sort -1, p, 3.\nAnswer: p, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 6 = -2. Suppose -d + 11 = t*o, 5*o = -0*o - 5*d + 25. Suppose 1\/2*p**4 + 2*p**3 + 3*p**o + 2*p + 1\/2 = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 5*w - 22 = 15, 2*w + 1 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 16\/9, -385, -4\/7, -5, 33, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 + i**2 + 2*i**2)*(i**2 + 0*i**2 + 3*i - i).\nAnswer: i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -4 - 2*n + 1 + 2 + n. Let x be j(-4). Suppose -r - 323 = -4*h, 7*h - x*h - 319 = 5*r. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 3*g - 66 = 0. Calculate the remainder when 43 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-24))\/(4134\/2544*2\/(-13))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.09  (b) -4  (c) -2\/9  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 135, 241, 347, 453?\n\"Answer: 106*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-2)*19\/95?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(-1\/4)*y*y))**(4\/7)*y**(2\/3)\/y*y*y**5*y*((y**(-1))**(-8))**(-6\/5) assuming y is positive.\nAnswer: y**(-353\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 3*x**3 - 5*x**2 + 63*x - 271. What is j(7)?\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 2:52 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114 = 4*v - v. Let q be 4\/14 - v\/14. Are q and 8\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q\/((q**7*q)\/q))\/q)\/(q*q**(-4\/7))*(q*q**2)\/((q\/(q*q*q*q*q**(-1\/3)\/q))\/q) assuming q is positive.\nAnswer: q**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -198*l**5 + l + 191 wrt l?\nAnswer: -3960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4166.\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -42 <= -539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*y - 19 + 19 - 4 + 6*y + 4 + (-y - 3 + 3)*(-3 + 1 - 1).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 58 + -54. Let v(c) be the second derivative of c**4\/12 - c**3\/2 + 2*c**2 + c. Calculate the lowest common multiple of 3 and v(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -715 = 3*w - m - 687, -4 = 2*w + 3*m for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + k**2 - 14*k + 14. Calculate the least common multiple of 8 and j(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02342 rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 453829512 and 14952?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 15, j: 5}. What is prob of sequence kkjk?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -334 divided by -2.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 56349 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m = -11*m + 36. Let h(q) = -7*q**3 - 5*q**2 - 5*q + 5. Let x(b) = -48*b**3 - 36*b**2 - 36*b + 36. What is m*h(u) - 5*x(u)?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/(-105) + 28\/49?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 2\/11, 2\/37, -1 in descending order.\nAnswer: 0.3, 2\/11, 2\/37, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**2 + 125*h + 270.\nAnswer: -5*(h - 27)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*v = 296, 0 = p - 8*v + 11*v - 60. Calculate the remainder when 113 is divided by p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -163*c**5 + 141*c**5 + 154*c**5 + c - c - c**5 + (2*c**2 - c**2 - 2*c**2)*(2*c**3 + c**2 - c**2).\nAnswer: 129*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 57871124719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w - 3. Let t be g(-5). Sort 3, 8, t in increasing order.\nAnswer: t, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 20 and 49?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 12, 9763 = 4*q - 9*j + 4*j. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -224 - -22551154?\nAnswer: 22550530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 11*v - 6. Let x be z(-10). Let i(w) = -2 - 5*w - 14 - x - 2. Calculate the remainder when i(-12) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 4*j, f + 2*j - 6 = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 7  (b) -3  (c) -2  (d) 15  (e) 14.07  (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 + 736 = 11*t. Suppose -73 = -4*b + y, -2*y + t = 8*b - 4*b. What is the remainder when 64\/(0 - 2\/(-2)) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 907606875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 - 1 = 4*q - 5*o, -3*q = -o + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29 + 199. Is (-538576)\/(-19) - 24\/y - 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that f**3 - 529820*f**2 - 529821*f = 0.\nAnswer: -1, 0, 529821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 4*q - 186. Let x(d) = 2*d. Determine v(x(y)).\nAnswer: 8*y - 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1678795686 to the power of 1\/2, to the nearest integer?\nAnswer: 40973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 140 + 694. Suppose -6*h + 3*h + f = 0. Suppose -4*y - 5*c = h, -5*y + 73 = c + 431. Is y smaller than -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4184967 is divided by 274?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {h: 4, u: 1, j: 7, i: 6}.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.01?  (a) 0.02  (b) 0.4  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3.4 and -989.\nAnswer: -992.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/(-546))\/(12\/218853). Let x = d - 1632\/13. Let h = 4473\/4 - 1124. Find the common denominator of x and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -106, -314, -670, -1180, -1850?\n\"Answer: -v**3 - 68*v**2 + 3*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*c**5 - 495282*c**4 + 330191*c**3 - 55032*c**2.\nAnswer: -c**2*(c + 55032)*(3*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 5*v**2 + 48*v - 516. Let u be a(7). Which is greater: u or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**3 - 11*c**2 + c - 3. Give m(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8.4217 - 1.4217. What is the smallest value in r, 0.4, 0.061?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*w - 68 = -35*w. Suppose 0*n - 5*n = -125. Let y = n + -21. Calculate the highest common divisor of y and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -47*s - 137. Let i be k(-3). Let y = 25 + -29. Which is the third smallest value?  (a) y  (b) 16  (c) -2  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-850)\/3 + (-32)\/(-24). Let j = -282 - r. Solve -3*d - 2*d - 10 = -2*q, j = 5*q - 5*d - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-112))\/((-259)\/3626)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -262*t + 3192. What is the hundreds digit of x(-84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 643*u. Let g(h) = 3*h**2 - 21*h - 7. Let v(c) = -c**2 + 6*c + 2. Let w(s) = 2*g(s) + 7*v(s). Determine b(w(l)).\nAnswer: -643*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107284 is divided by 8934.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k + 42 = -9*k. Suppose 16 = 2*t + 3*v, 4*v + 0*v = 3*t + 10. Solve k = 5*s - t*r, -5*s + 4 = 3*r - 25 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 7. Let y = -3 - -8. Suppose 0*o - 2*o + y*c + 28 = 0, -3*c - 24 = -z*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.33 + 19.67. Is y at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13\/17 - -73\/51. Solve d + 2\/3*l**2 - 4\/3*l = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 138887 - 1926. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/((p\/p**(2\/3))\/p))**(-12))**(-26\/7))**(-20))**(-14) assuming p is positive.\nAnswer: p**20800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 96 - 41. Suppose 4*f + 72 = 3*x, 3*f + 54 + p = 5*x. What is the least common multiple of 340 and x?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32 (base 16) to base 6.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-30)\/(-4))\/(-5)*-6. Solve -5*q - h = -3*s - 4*q, 5*q - 3 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 14 - 2 = 0. Suppose 0*o = -5*y + 4*o + 32, -5*o + 5 = 5*y. What is the first derivative of 5*k**3 + 5 + z*k**y - 4*k**3 - k**3 wrt k?\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {x: 1, d: 2, z: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154 = 5*x + 3*w + 139, 12 = 4*x - 4*w. Solve -3 + x = 49*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -6*w + 3. Determine d(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 6}. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/(-10)*(-4)\/(-10). Suppose 0*p + 5*v + 9 = -p, -5*p = -4*v + 132. Let t = p + 71\/3. Which is the closest to t?  (a) -2\/9  (b) -5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4012)\/(-28)*1 - 2. Let w = 141 - c. Let n = -22 - -19. What is the second smallest value in 1\/3, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 21.7 and -372664.\nAnswer: -8086808.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -333 + 1035 = -2*n - 29*s, -n - 51 = 2*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-70)\/595*85)\/(10\/12*-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1442*y - 1185 = 1427*y. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12.9 - 1.9. Let p = h - 11.000152. What is p rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 + 23. Let d be 1 + 1 + -2 + 2. Suppose 25 = 3*f - d*f. Calculate the remainder when f is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7206944 is divided by 554379?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3 - 126*y**2 - 1728*y - 5400.\nAnswer: 2*(y - 75)*(y + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 21*a + 9. Let u be m(0). Solve 9 + u = 9*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491730000 rounded to the nearest one million?\nAnswer: 492000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(605) + -1 + 1 + 0)**2 + -5.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/4)\/((-2)\/12). Let d = 8.6 + -9. Let z = 0 - 0.1. What is the nearest to z in g, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96 = -40*x + 384. Solve -2*h - x*o = -9*o + 9, 4*o = h - 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - (2 - 27)) + -56 + 175 + -106.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.052, -1.1.\nAnswer: -1.1, 0.052, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (974 - 988 - 670)*(-2 + q + 2) + 9*q - q + 4*q + (0 - 2 + 3)*(0 + 2*q + 0).\nAnswer: -670*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*(-6)\/(-180)*3\/(-2). Let b(s) be the third derivative of -a*s**5 - 5*s**2 + 0*s**3 + 0*s + 0*s**4 + 0. Let m(l) = -l. Calculate m(b(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 323 + -663. Let l = k - -574. Let o = 38 + l. Is 33 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 5*p**2 + 16*p + 33. Let x be n(-2). What is the tens digit of (60\/x)\/(3 - (-725)\/(-245))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*p + 2*b = -62, -102*p - 5*b - 15 - 5 = -105*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 169545 and 77597.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -61\/20 - -13\/4. Let g be ((-81)\/81)\/(-3 + 2 - -6). Sort 6, 0.3, g, j.\nAnswer: g, j, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 16608*b. Let x(l) = 14*l**2. Calculate x(d(q)).\nAnswer: 3861559296*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*40374.\nAnswer: 12112.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -7*n + 9. Let y(u) = -15*u + 19. Let z(i) = -13*c(i) + 6*y(i). Find the first derivative of z(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 2 = -3*h, 5*h + 0*h = 2*c - 2. Suppose h*o = -3*o + 3. Let g(i) be the first derivative of -2*i**2 - 12. Determine g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b8622 - 4?\nAnswer: b861c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 130501, 127929, 125357, 122785, 120213?\n\"Answer: -2572*r + 133073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 555*z + 568*z - 34778*z**3 - 1123*z.\nAnswer: -34778*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7267 and 2179593?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -64, -137, -258, -427, -644?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19839?\nAnswer: 3, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 63.4.\nAnswer: -126.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*165\/(-176)*(-20)\/15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -20 + 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7723 + 7739. Let t be 4 + (-1 - (0 - 0)). What is the second derivative of -47*g - 18*g**3 + 3 + m*g - t wrt g?\nAnswer: -108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 + (-333)\/(-18) - 1\/(-2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of l**4\/24 - l**3\/3 - 5*l**2. Let w be a(3). What are the prime factors of w - (-1)\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 2) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14.4363 + 13.69. Let z = 0.75 + w. Round z to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + (-5)\/((-5)\/2). Suppose 185 = d*s + 3*s. Suppose 3*z = 4*p - 144, z + 206 = 5*p + s. What is the greatest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6848657.\nAnswer: 6848657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -36 - (34 + 26 + -46 - 3)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*g + 56 = 6*g. Let r(v) = -v**3 - 5*v**2 - 5*v - 1. Let a be r(g). What is o in -38*o**2 - a*o**4 + 35*o**2 - 3*o**5 + 3*o**3 + 6*o**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 350 = -836*l + 661*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*k - 4206 = -4*c - 42*k, -2*c + 5*k + 2118 = 0. Calculate the highest common divisor of 306 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2 = -3*t, -2*q - 10 = 5*t + 3*q. Suppose -x = x + 16. Let d = x - -5. Sort d, t, -2 in ascending order.\nAnswer: d, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/17?  (a) -41  (b) -4  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053322 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12121110220210210221 + -11?\nAnswer: -12121110220210211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -7*k**2 + 28*k - 35*k**2 + 75*k**4 + 42*k - 33*k**2 - 5*k**5 - 4*k**3 - 61*k**3 = 0.\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*g**6 + 33*g**4*v - 4484*g**4 + 678875*g**2*v wrt g.\nAnswer: -360*g**3 + 792*g*v - 107616*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 491296 or 491290?\nAnswer: 491296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -8 - (15 - 18 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -108*(75\/(-20) + 3) is divided by (8\/(-1))\/(10\/(-35))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 5*x - 18 = 0, 3*x = -h + 7 - 1. Let c be (26\/(-27))\/((-4)\/h). Let f = c - -1\/18. What is the closest to 1 in 2, f, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.89979m in centimeters?\nAnswer: 3989.979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1655390 by 331078.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 641*x**2 - 8. Let r(c) = -4*c**3 - 2564*c**2 + 33. What is 9*f(s) + 2*r(s)?\nAnswer: s**3 + 641*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31095?\nAnswer: 3, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 63443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 3*y + 11 + 2, -c - 2*y - 4 = 0. Let f(k) = -k + 12. Let x be 12\/(-36) + 22\/3. Let g be f(x). Solve -c*u - g = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.03  (b) -3  (c) -0.6  (d) 3  (e) -35  (f) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34 + 26.1. Let t = -192.7 - -201.37. Let h = z + t. What is h rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 12, -1, 5\/9, -2\/3.\nAnswer: -1, -2\/3, -0.4, 5\/9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1057016*x**5 + 58*x**2 + 8406*x wrt x?\nAnswer: -63420960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 16*k + 468. What is the greatest common divisor of k and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3*r**2 + 7*r - 2. Let u(n) = -15*n**2 + 35*n - 11. Let o be (-2 - 38\/(-22)) + 2090\/(-1210). What is o*u(b) + 11*v(b)?\nAnswer: -3*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*z - 0. Let u be (-68)\/(-60) + z\/(-5). Which is the third smallest value?  (a) u  (b) 1\/8  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65811323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 425893, 425864, 425845, 425842, 425861, 425908?\n\"Answer: x**3 - x**2 - 33*x + 425926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-11) - (-2720)\/440. Is 550 + (3 + -3 - h) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/14 - (-114)\/7. Suppose -6*j + g = -2*j. Suppose 0 = -4*d + d - x + 34, 0 = 2*x + j. Calculate the smallest common multiple of d and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - 212*x + 215*x + 6873, -2*r - 5*x + 2712 = 0. What is the remainder when r is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.1*0.702\nAnswer: 0.7722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.2, 0.4, -110, -1\/2 in descending order.\nAnswer: 0.4, 0.2, 0, -1\/2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -580, -0.05, -0.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 47.18294 milligrams?\nAnswer: 0.00004718294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 350371994.\nAnswer: 2, 7, 1181, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 179, 9 in descending order.\nAnswer: 179, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 3646?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -7*m**2 + 40*m**2 - 12*m - 171 - 14*m**2 - 6*m**2 - 12*m**2. Let y be u(21). Does y = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1264114 - 14?\nAnswer: 1264100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(0 + 1 - 0). Let w = m + 4. Suppose 4*u + 61 - 73 = 0. Solve -u = -w*o + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 241740 and 98260.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hqqh when four letters picked without replacement from {q: 9, h: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 369521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -433, -1821, -4137, -7375, -11529, -16593, -22561, -29427?\nAnswer: -37185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + (-274)\/(-36) + 15\/(-45) + 10\/4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**22*(b*b\/((b\/(b**(-10)\/b)*b*b)\/b))\/b*(b*b**(-1\/3))**(2\/63))**(3\/14) assuming b is positive.\nAnswer: b**(947\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 - 2. Let b = 12983923 + -2570822005\/198. Let c = -407\/18 - b. Find the common denominator of t(-4) and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 31*x - 36*x = -14000, 2794 = g + 2*x. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7898288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 136 + -2141211?\nAnswer: -2141053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/(-21)*(-189)\/(-18). Solve 5*p - 3*h - 15 = 0, 2*p + h = 2*h + v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46, 89, 132, 175?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -251063, -251074, -251083, -251090?\n\"Answer: y**2 - 14*y - 251050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -11, -4, 16, -3\/17, -0.18, -2\/17, -4\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/12 and 61\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3303 - -3418. What are the prime factors of a?\nAnswer: 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2278319161.5288207 + -2278339627.43. Let t = v + 20197.90119. Let w = 268 + t. What is w rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5307, 5305, 5303, 5301, 5299?\n\"Answer: -2*y + 5309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -66 - -151. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 AM and 5:16 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -4*j + 356, -3*j = -2*j - 4. Let s(o) = -o**3 + 10*o**2 - 7*o - 1. Let l be s(9). Suppose -a - l = t. What is t rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, v: 1, c: 2}. What is prob of picking 2 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13259 = -12*c + 3589. Suppose 4*b + c = 4*h, 3*h + 6*b - 1053 = 11*b. Calculate the highest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1560 and 50.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(300)*1)\/sqrt(6))\/(sqrt(10) + sqrt(40)*5 + sqrt(10) + sqrt(10) + (sqrt(120)\/sqrt(4))\/sqrt(3)) + 1.\nAnswer: 3*sqrt(5)\/14 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 17228190 divided by 246117\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2 - 141*p\/5 - 54\/5.\nAnswer: -3*(p + 9)*(5*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 71 = -0*k - 3*k, 5*k = -z + 39. Let n(v) = v**3 - 14*v**2 + 4. Let g be n(z). Is 1\/2 - (-506)\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2 - -0.4. Let x = 0.047 - 0.147. Which is the nearest to 0.1?  (a) v  (b) x  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-33))\/(3\/((-1089)\/(-11)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -64 (base 15) to base 7.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 + 22. Let u be 0*2\/s + 7. Suppose 0 = 8*b - u*b - 5. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 18.09720466 from 5.\nAnswer: -13.09720466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b07 - 4?\nAnswer: b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/153660 and 41\/5785.\nAnswer: 13675740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 146103 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - (-5 - -2) - -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -89\/403 + -4\/403. Is h smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1648 - 4997\/3. Let i be 658\/6 + (-6)\/9 - -2. Calculate the common denominator of l and (6\/(-66))\/(3\/i).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 12:56 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 339633 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-6)*(-2 + 4). Let b be -2*(y + -4 + 2). Suppose -b*h = 4*h - 282. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69660 is divided by 281.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111 (base 5) to base 8.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000022799 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (12*(-22)\/132)\/(32\/6)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -1*((sqrt(119) + -2*sqrt(119))*5)\/(sqrt(175)*-2 - sqrt(175)))**2.\nAnswer: 2*sqrt(17)\/3 + 26\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from opzzveop. What is prob of sequence pov?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -28*r**4*s + 2*r**2*s**2 + 3*r*s + 178*s**2 wrt r?\nAnswer: -112*r**3*s + 4*r*s**2 + 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 14145675, 14145681, 14145687, 14145693, 14145699?\n\"Answer: 6*o + 14145669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 3*n**2 + 5100*n - 15327 = 0.\nAnswer: -1703, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 32*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand t**4 + 0 + 0 + (2*t - 4*t + 4*t)*(t**3 - 2*t**3 + 2*t**3) - 4*t**4 + 4*t**4 - t**4 - 52*t**4 - 77*t**4 + 40*t**4.\nAnswer: -87*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of -o**6\/24 - o**5\/2 - 25*o**4\/24 + 10*o**3 + o**2 + 128*o. Suppose q(n) = 0. What is n?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 plus -306031399?\nAnswer: -306031405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iqxpiqqqs. Give prob of picking 1 q and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*j + 3928 = 43*j. List the prime factors of -5 + j\/16 + 6\/(-8).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqtlqqtqqqqqqqqtqqqq. What is prob of picking 1 q and 3 t?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -16426159.\nAnswer: 82130795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 221*v**3 + 49*v**3 + 7*v**3.\nAnswer: 277*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b0 + 7?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1803.63 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of -3*v**7\/56 + 11*v**6\/90 + 35*v**3\/3 - 26. Let j(g) be the third derivative of d(g). Find the third derivative of j(s) wrt s.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from sngejgesgengggn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of 0*l**3 - 5\/24*l**4 - 1\/60*l**5 + 0*l + 0 + 2*l**2. Find the second derivative of z(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46984 rounded to the nearest 100?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 AM and 5:57 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 213 and 2303?\nAnswer: 490539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -62.03 rounded to the nearest integer?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (48\/(-16))\/(-1 + 0). What are the prime factors of 24\/(3 + r)*53?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 126425*n*s**4*u**3 - 4*n*s**4*u - n*s*u**3 - 2*n*s - 2*n*u**2 + 1153*n*u + 2*s**2*u**3 wrt s?\nAnswer: 3034200*n*s*u**3 - 96*n*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 5, 135, -277 in descending order.\nAnswer: 135, 5, -20, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a4b81 + -3?\nAnswer: -a4b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7689\/(-18) + (-117)\/(-702). Which is bigger: r or -428?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 - 14 = 12*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2302 - 2300. Let j(v) be the third derivative of 0 - 1\/24*v**4 + 10*v**i - 1\/6*v**3 + 0*v. Let m(q) = -6*q - 4. Calculate -4*j(b) + m(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + -389?\nAnswer: -38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, z: 1, x: 2, y: 3, k: 4}. Give prob of picking 1 y, 1 z, and 1 w.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 228331141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.236829923 less than -232895?\nAnswer: -232894.763170077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18 or -11.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.41 minus -0.12?\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1645 and 9870.\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.968084t in micrograms?\nAnswer: 968084000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -5*v**4 - 495*v**3 + 520*v**2 + 1980*v - 2000 = 0.\nAnswer: -100, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -356 = -11*d + 3*c - 343, 0 = 3*d - c - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -1\/22, 2\/5?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a millennium in years?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -5731627 smaller than -5731627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 21\/(-14)*56\/(-21). Solve -o*p + 7 = 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2 - 160975*o - 1930980.\nAnswer: -5*(o + 12)*(o + 32183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((3 - -2) + 2 - -2) + -21\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of -u**4\/48 + 9*u**3\/8 + 7*u**2\/2 - 295*u + 95. Let o(k) be the first derivative of p(k). What is i in o(i) = 0?\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 31\/(-4) + 3 + 17\/(-68). Let l be 8\/a + 4\/(-10). Sort -24, -5, 1, l in descending order.\nAnswer: 1, l, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 81*m - 193*m - 3*m**2 + 82 + 7*m**2 + 26.\nAnswer: 4*(m - 27)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.02*0.77586\nAnswer: 0.0155172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j**(-3\/2)*j)\/j*j))**(-3\/4)\/(j**1)**(6\/19) assuming j is positive.\nAnswer: j**(-219\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -3*z - 4. Let d(m) = m + 1. Let p(x) = 4*d(x) + y(x). Let k be p(-6). Let c = -2 - k. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.04 - -2.04. Let w = 205 + -200. Which is the nearest to m?  (a) 2\/47  (b) w  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49*l + 59*l**2 + 85*l**2 + 29*l + 20*l)*(-5 + 6 - 6 + (-2 + 1 - 1)*(3 + 0 - 4) + 1 - 1 + 1).\nAnswer: -288*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.1999 - -0.1999. Which is the nearest to 1\/3?  (a) 53  (b) -1  (c) m  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 203883 - 203883.2. Let r be (-2)\/(-4) + (-10)\/4. Which is the nearest to 0?  (a) -1  (b) 8  (c) r  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**3 - 18*v**2 - 91*v + 775. Calculate a(10).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*g**3*x**3 - 271396*g**3*x - 10912*g*x**4 - g*x wrt x.\nAnswer: -72*g**3*x - 130944*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -4*m + 7. Let j(t) = 11*t - 21. Let k(x) = 2*j(x) + 7*y(x). Let v(p) = p - 1. Let i(n) = -2*k(n) - 14*v(n). Let s(b) = b. Determine 3*i(c) + 4*s(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -143*u + 5296. Calculate p(37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -542*q = -544*q - y - 19, q + y = -15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41\/18 - -16\/9. Let d = 53\/63 + -1\/126. What is the second biggest value in 0, 4, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -1\/2 + 1\/2*f**2 + 0*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t**2 + 26*t + 7. Let h(a) = -1. Calculate 6*h(q) + i(q).\nAnswer: 2*q**2 + 26*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -140*u**2. Let k(c) = -445*c + 510. Let l(n) = -21*n + 24. Let y(p) = 4*k(p) - 85*l(p). Calculate y(g(s)).\nAnswer: -700*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 52091363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.17018, -3, 0.1, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4*v - 38 = -186, 4*v - 52 = -u. Let s(d) = -119*d - 578. Let n be s(-4). Let w = u - n. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -137*j - 106*j = -1458. Solve -j*m - 16 + 16 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 264607000 to the nearest one million.\nAnswer: 265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from gqqqgooqqqqqgqgq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f*f\/f**(2\/79)*f)*f*f**28\/f*(f*f\/f**5*f)**(-6))**(2\/9) assuming f is positive.\nAnswer: f**(6166\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*b**3 + 1783*b**2 + 2*b + 2 - 1782*b**2 + 3*b**4 - b**3 to x + u*b**4 + a*b + i*b**2 + s*b**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 9) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 5:48 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j - 1. Let l be h(-4). Let -2*m**3 + 2*m**l + 2*m**3 = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + 100101101001111100001111110?\nAnswer: 100101101001111100001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 164014*x + 96064 wrt x.\nAnswer: 164014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 8 = x - 2*n, 5*x = -2*n + 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35\/124 - -1\/31. Sort -2\/7, -4, s in descending order.\nAnswer: s, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2*g + 118 = 0, -5*l + 9*l - 2*g - 478 = 0. What is the lowest common multiple of l and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2*t + 9. Let v be q(-6). Let b(a) = 2*a**3 - 5*a**2 - 2*a - 149. Let h(y) = -y**3 + 3*y**2 + y + 74. Let f(i) = v*b(i) - 5*h(i). Is f(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in -2, 322\/3, 0.104?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**4\/2 - 162*q**3 + 945*q**2\/2.\nAnswer: 3*q**2*(q - 105)*(q - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 29844090 and 7958424?\nAnswer: 119376360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -702466 + 16?\nAnswer: -702450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.073 + 1533.048012306.\nAnswer: 1532.975012306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.0829 minus -321164?\nAnswer: 321230.0829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3377 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 + 10*s**2 + 139*s - 3205. Determine a(22).\nAnswer: -5955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 + b**2 + 806. Let s be t(0). Is (-3)\/(-9) - s\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52312.48 hours in seconds?\nAnswer: 188324928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**3 - 2353 + 279 + 691 + 697 + 686.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (48\/(-18))\/((-1)\/(-9)). Let p = a + 20. Let v be (2 + -17)*p\/(-5). Is v smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/27  (b) 3\/5  (c) 0.0375\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 11:13 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -3518, -3\/8 in ascending order.\nAnswer: -3518, -3\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 140*r - 142*r. Calculate the greatest common divisor of 210 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1400 + -4001?\nAnswer: -5401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 49 times -6.47\nAnswer: -317.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -5, -2*o - 4*d = -5*o + 16. Does 20 divide 46*3\/o*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 76 - 75.99845. What is l rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 373, -257, -883, -1505, -2123, -2737, -3347?\nAnswer: -3953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 537673122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 3*l = -9, -5*a + 5*l - 196 = -231 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2601 and 3.\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 3*w**3 - w**2 + 1. Let q be (-3 + (4 - 3))\/(-2). Let y be j(q). Let l(h) = h - 7. Let u be l(6). Put y, -17, u in descending order.\nAnswer: y, u, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 8*u**2 - 4*u + 3. Let g be w(-4). Which is the second smallest value?  (a) -3\/2  (b) 2  (c) g  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111101111100001 (base 2) in base 13?\nAnswer: -11586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1890096*w**4 - 684964*w**2.\nAnswer: -45362304*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -6608 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -158 - 813 - 394 = -273*b. Solve 12*l = -d + 13*l + 8, 0 = -b*l - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -40.6191 to one dp.\nAnswer: -40.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-32))\/((-25)\/20)*(-20)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 14*a - 19*a. Suppose 5*v - 6673 = -5*t + v, 2662 = 2*t + a*v. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 0 - 1 - 3 - (-12 - -16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196863?\nAnswer: 3, 211, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*f + 12*f = 5*y - 2, -3*f + 15 = -3*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8 - -2 - (-4 + -1 - -4). What is the first derivative of -55 - q - 50*p**2 + 27 - 45 - 98 wrt p?\nAnswer: -100*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -4\/3  (b) 23  (c) -21\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 578263355 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**4 + 2*i**3 + 3*i**2 - 2*i - 5. Let a(w) = -w**4 - w**3 - 2*w**2 + w + 3. Let k(p) = -5*a(p) - 3*m(p). Factor k(t).\nAnswer: -t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -205 at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168 + 152 = 8*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3990816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by 15\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6401019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1779 - 17709\/10. Calculate the common denominator of t and -43\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2163728333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*p**2\/5 - 894*p\/5 + 22149\/5 = 0. What is p?\nAnswer: -321, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 23417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 11 + 328a?\nAnswer: 329b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4 = 0, -3*o + 5*k = -5*o + 88. Suppose -6 = 3*l - 4*l. Calculate the highest common factor of o and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -13  (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -13*f + 8. Let z be r(3). Let s = -33 - z. Let l(g) = 9*g - 7. Let a(q) = -4*q + 3. What is s*l(v) - 5*a(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 14638498 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: Sort -4, -3, -1, -126 in decreasing order.\nAnswer: -1, -3, -4, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*a - 59*a - 85 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 6  (c) -1  (d) 1  (e) 1\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -5\/7849, -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 17976 divided by 107?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 454117.\nAnswer: 233, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = 24*a - 38 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11.71 + 3.71. What is the second biggest value in -4, 1, l, 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, j: 2, f: 4, z: 6, r: 1}. Give prob of picking 1 r and 3 f.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - i + 5 + 1 = 0, -2*a - 4*i + 10 = 0. Let x(m) = -35*m. Calculate the remainder when x(a) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 20*x. Let n be (-32)\/80 + 34*(-6)\/(-360). Let u(d) be the second derivative of 0 + 0*d**2 + n*d**4 + 0*d**3 - 7*d. Determine u(i(t)).\nAnswer: 800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 239*p + 3326 = -498 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 46 - 1. Let g = n + -129\/2. What is the common denominator of 77\/4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of 4*v**3\/3 - 2316. Let l(w) = 632*w**2. Determine l(c(i)).\nAnswer: 10112*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/4*(-25)\/50)\/(162\/48)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10, -5, 12, 47, 106?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17282597 is divided by 1849?\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 11) in base 15?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 130256 and 406?\nAnswer: 3777424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**3 + 5*v + 4. Let g(z) = 6*z**3 + 14*z + 11. Let q(j) = 4*j + 89. Let l be q(-25). Calculate l*i(p) + 4*g(p).\nAnswer: 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 142*a**2 - 80*a - 827. Is 37 a factor of f(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 585 (base 9) to base 8\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 40*c + 311. Give w(6).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1256334 divided by 628167\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 - -28. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -1 - 2*q**2 + 3*q**2 - 5*q - 5*q**2 - q**3. Suppose 0 = 1582*h - 1585*h + 15. Suppose 24*x - 23*x = 4*p + 12, -h*p = 3*x + 32. What is z(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o - 2 + 2)*(-3 - 2 + 2) - 4*o + o + 2*o - 201 + 97 - 6*o + 101.\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 k when three letters picked without replacement from {k: 5, o: 4, t: 1, f: 6}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 216 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 99 minus -1614.0533207?\nAnswer: 1713.0533207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 35600.59 kilograms?\nAnswer: 35600590000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + 9. Let g = 19 - z. Which is the fourth smallest value?  (a) g  (b) -1  (c) 1  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -33*w + 299. What is the units digit of d(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 101, 354, 769, 1340, 2061?\n\"Answer: -m**3 + 87*m**2 - m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10111011 (base 2) to base 9.\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -257 + 23*b + 257 - 15*b**2 - 23*b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, z: 1, y: 5}. Give prob of picking 1 y and 1 z.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -221 - 25053?\nAnswer: -25304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -102 - -153. Suppose 0 = m - 4*m + t. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -j + 9, 4 = -0*l - 4*l. Suppose -2*k + 727 = 4*s + 111, -s + j = 0. Does 30 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -v - 2*k, 5*v - 105 = 3*k - 114 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-107 - 2601 - 244)*(4*t + 3*t + 1 - 5*t) to m + z*t and give z.\nAnswer: -5904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4671 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1361 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -404 - 134*g - 1291*g + 404 - 4396*g to the form l + h*g and give h.\nAnswer: -5821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14308*f**2 - 3 + 3 - 3982*f**2.\nAnswer: 10326*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 375141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.5538385 litres?\nAnswer: 553.8385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/(-2) - (4 + -4). Let w be (-4)\/(-24)*o*-3. Suppose -w*x + x + 38 = 0. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1688 is divided by 172.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 106 + -58. 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: Work out -9 - 9.3.\nAnswer: -18.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -12) + 93 + -101?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2303269148 to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/6  (b) -571  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.6707 + -0.0707. Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 51813660 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jmwwuwpww. Give prob of sequence wjp.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13 or -91?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qrqkrqkqrklrrlq. Give prob of sequence krk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 518, 526, 534, 542, 550?\n\"Answer: 8*u + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-15) - 14092\/(-1355)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -50594, -198427, -443496, -785801?\n\"Answer: -48618*d**2 - 1979*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**2 - v. Let t be j(1). Let n = 0.1 + -0.2. Let q = -71 + 73. Which is the second biggest value?  (a) q  (b) t  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*v + 3)*(-4*v + 5*v - 6*v) + 45 - 8 - 4*v**2 - 11.\nAnswer: -14*v**2 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j - 1928*j**2 + 48 + 3822*j**2 - 1900*j**2.\nAnswer: -6*j**2 - 3*j + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -393 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -195164949595 + -0.0715?\nAnswer: -195164949595.0715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 616305583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000263561789 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.47 + 1.491.\nAnswer: 2.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1223358510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -67, -283, -647, -1159?\n\"Answer: -74*c**2 + 6*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -4*p**2 + 7*p**2 + 4*p - 4*p. Let n(y) be the first derivative of -y**5\/60 + y**3\/3 - 1. Let q(i) be the third derivative of n(i). Calculate g(q(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 469, 474, 481, 490?\n\"Answer: g**2 + 2*g + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from {x: 1, l: 1, o: 2, r: 1, j: 1, k: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 689 + -693. Let c = -12 + 19. Let x = c - 6. What is the third smallest value in x, -2, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3848*l = 3842*l - 42 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of 2*m**7\/525 - m**6\/50 + m**5\/25 - m**4\/30 + 42*m**2. Factor v(b).\nAnswer: 4*b*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j**0)\/(j*((j\/j**6)\/j)\/j)*(j**(-2\/7))**13 assuming j is positive.\nAnswer: j**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -30\/13 or 20.3?\nAnswer: 20.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = w - 15. Let c be 6\/(-3 + (-33)\/(-9)). Calculate the common denominator of w and (-136)\/6 - (c + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*o + 10 - 19*o - 159*o**3 + 157*o**3 as k*o + c*o**3 + i + f*o**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(500))**2*6.\nAnswer: -240*sqrt(5) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30 + 32. Is (-1565)\/(-4) - j\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*((w\/(w**(-3\/5)\/w*w*w))\/w)\/w)\/(w\/w**(-6\/7)*w))\/(w\/(w\/((w\/(w**5\/w))\/w)))**(-6) assuming w is positive.\nAnswer: w**(-954\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -64*h**5 - 119440*h**4 - 625884*h**3 - 1094611*h**2 - 638323*h.\nAnswer: -h*(h + 1861)*(4*h + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*h - 4512 - 12856. Let m = h - -755. Let c = -899 - m. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.34 + 1.66. What is the biggest value in -6\/11, t, -82?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 6:18 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 180351 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide (1 - 61)\/(-8 + 155\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -33*l - 48. Let d be g(-3). Is d at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -10646 and -2.6.\nAnswer: -10648.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -7, -1\/3, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that x**2\/6 + 33518865*x + 3370542932664675\/2 = 0.\nAnswer: -100556595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1507*m - 1504*m + 4*k - 99978 = 0, 3*m - 100002 = 4*k. Does 57 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 = -12*x + 126 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10 + ((-9)\/36*-27052 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 4*h - 0*h + 12, -6 = -2*h. Suppose -5*j + 4*p = n, j + 4*p - 8 = -2*j. Suppose -s + 15 + 1 = j. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 521994330 a multiple of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*(-15)\/200)\/((-492)\/(-1025)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**4\/13 - 24*s**3\/13 + 64*s**2\/13 + 96*s\/13 - 224\/13 = 0. Calculate s.\nAnswer: -14, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 4*v + 6753012, -2*m - 3*v - 2213733 = 2288258. Round m to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(-1*sqrt(285) - sqrt(285)))\/sqrt(5))\/(-3*-4*sqrt(432)).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(19)*-1 + (sqrt(19) + -3*sqrt(19))**2 + 3.\nAnswer: -sqrt(19) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 4*s - 34, 2*r = -s - 0*r + 10. Calculate the lowest common multiple of (s\/(-5))\/(4\/(-30)) and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 104*l**4 + 0*l**3 + 5*l**2 + 2*l**3 - 5*l**2 + 213*l**4 - 2*l**2 in the form v + u*l**4 + z*l**3 + f*l + r*l**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0\/(-1))\/(-2 - -4). Let l = 42 + 18. Suppose k = -3*m + 117 + l. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3199 = -7*b + 16870. List the prime factors of b.\nAnswer: 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*m + 79 = 0, -i + m = -2*i + 26. What is the lowest common multiple of i and 7?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7040342281\/12153 - 579309. Is 1 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 231458639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 10. Let a be o + (-4)\/((-24)\/15). Factor 0*z + 0 + 1\/4*z**4 + a*z**3 + 1\/4*z**2.\nAnswer: z**2*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4624790, 4624805, 4624830, 4624865, 4624910, 4624965, 4625030?\nAnswer: 4625105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/1835 and -43\/38894660?\nAnswer: 38894660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 30\/7 of a week?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 56 = -448. Let m be 4 + (-14)\/3 + h\/6. What is the greatest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4.8 + -0.2. Let c = -12 - -8. What is the third smallest value in t, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*s + 28*s = 21. Suppose 2*o - 4*v = -3*v + 96, 0 = s*o - v - 142. Calculate the remainder when 182 is divided by o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7020 and 4681260.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4347444 a multiple of 422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2\/9)*b**(2\/59))\/(b**(-30)*b*b\/(b**(-24)\/b)))**(-9) assuming b is positive.\nAnswer: b**(-1493\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -13, 2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 56 + -63.6. Let t = 8 + f. What is the third smallest value in t, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.55 - 2.45. What is the second biggest value in -2\/9, 0, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2057000 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1848 divided by -22?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 71 - 46. Let i(b) be the third derivative of b**5\/60 + b**4\/12 + b**3\/3 - 3*b**2 - 30*b. Let s be i(-8). Calculate the highest common factor of s and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 535802779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 517685415 divided by -13273985.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -15536448 + -213548?\nAnswer: -15749996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 135 = 3*s, 0 = -2*s + 2*l - 0*l - 74. Let z = s - -64. Let q = z - -93. Is q a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -87\/70 + 26\/35. What is the nearest to 1\/2 in 0.18, -2, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 97 and 26965321.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a373 + 1321?\nAnswer: -9052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y**2 - 73*y + 1780. Determine l(25).\nAnswer: 1205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/4 + (-6 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 454754*k**5 + 2*k**4 + k**3 + 3458*k - 346.\nAnswer: 9095080*k**3 + 24*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 + 17*x + 59. What is o(20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/21)\/(k\/(k*k**(-4))*k))**(2\/15)*(k*k\/(k*k**(1\/2)))**(2\/103)\/(k**(2\/5)*k*k**(-2\/11)*k) assuming k is positive.\nAnswer: k**(-206131\/71379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*t**2 + 580*t**5 + 12*t**2 - 581*t**5)*(2 - 1 - 7) + (-t - t + t)*(-t**4 + 2*t**3 - 2*t**3).\nAnswer: 7*t**5 - 168*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (55 - 343 - 16)*(7 - 3 - 14*j**3 + 12*j**3) to f + r*j + t*j**3 + x*j**2 and give t.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 5*b - 5461 - 9161, 4*u - 29244 = -5*b. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, e: 4, d: 2, p: 7, u: 4}. Give prob of picking 1 v and 1 u.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 6*v - 48. Suppose 0 = -2*i + v*q - 39, 0 = i + 2*i + 3*q + 6. Let z be 56\/(-6) - (-2 + 1). Does z = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.542 to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 144, 302, 462, 624, 788, 954, 1122?\nAnswer: 1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(10\/13)*y**21)\/((y\/(y\/(y\/y**10*y)))\/(y*y**(-27)\/y)) assuming y is positive.\nAnswer: y**(49\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 64412?\nAnswer: 322060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 + 27 + 15 - 2*c - 61.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + y = -7, 10*r + y = 151 - 132 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3031321 (base 5) in base 13?\nAnswer: 19393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 2*z - 14. Suppose 2*y = z*y. Find the third derivative of y*m**2 - 5*m**4 - m**2 + 0*m**2 wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (10\/252*1)\/(380*119\/31654)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -112.9437 to 1 dp.\nAnswer: -112.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -787, 3, -1, 0.1, -79 in ascending order.\nAnswer: -787, -79, -1, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(7) - (sqrt(7) + -1)))**2 + sqrt(28)\/sqrt(4) + -4.\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fhe when three letters picked without replacement from jxkehhffk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 - 6*r + 3. Let z be f(5). Let p be (6\/(-4))\/(z\/4). Let o(q) = -q + 3 + 2 - p - 7. What is o(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*n + 12. Is 0.1 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -7665, -29413, -65171, -114933, -178693, -256445, -348183, -453901?\n\"Answer: v**3 - 7011*v**2 - 722*v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**3*y)**(1\/28)\/(y**(-7)\/((y\/y**(-1\/8))\/y)) assuming y is positive.\nAnswer: y**(407\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 - 939633*p + 6577515. Give l(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -231635 divided by 5?\nAnswer: -46327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1291141 and 1902.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7688 + 7688.1. Which is the third smallest value?  (a) 16  (b) 1\/5  (c) -5\/6  (d) l  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + f + 7. Let z = -32 - 25. Let q = z + 69. Calculate the remainder when q is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*t = 179*t + 183 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 278 + -239. Suppose -5*q = -a*q. Solve q = 7*r - 4*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.005 + -20.69. Let y = -0.295 - h. What is y rounded to zero decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -7*j**3 - 2*j**2 + 4*j + 4. Let p(q) = 14*q**3 + 3*q**2 - 7*q - 8. Give -4*p(f) - 7*x(f).\nAnswer: -7*f**3 + 2*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 0.3. Let l = u + -0.3. Let o = -0.0184 + 0.1184. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, n: 5, z: 2}. Give prob of picking 1 z and 1 n.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 AM and 3:29 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.19 - -0.19000106. What is v rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3004 + 3760 = 108*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f + 3*r - 42, 8804*f - 8807*f - 5*r = -48 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*g**3 + 12*g**3 - 5*g**3 + g + 38*g**3 - 11*g**3.\nAnswer: 53*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 161259648 + 2?\nAnswer: 16125964a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1114426 is divided by 153?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*((f**(2\/27)\/f)\/f)\/f))\/(f*f\/(f\/f**0*f)))**27 assuming f is positive.\nAnswer: f**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(48\/(-20))*(-2 + 0). Let n(y) be the third derivative of 0*y**4 + 2*y**2 + 0 + 0*y + 0*y**3 + 1\/60*y**a. Let j(g) = 5*g. Determine n(j(q)).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2976151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2044596 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 168 and 288?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 73428 divided by 1266\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*c + 25 = 25*c. Suppose 0 = -y - y + 2, 0 = -c*q + 3*y + 162. What is the remainder when q is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 210910207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*4*4\/32. Suppose z*y = 4*y - 16. Solve 0 = -q - y*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 - 6*i**2 - 14*i - 13. Give s(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/3)\/(-19*(-34)\/969)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*p**3 - 5*p**3 + 0*p**3 + 9*p to the form j + q*p + b*p**2 + h*p**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = 27 - 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 208.33119ms?\nAnswer: 0.0034721865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.1, 3, -0.2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 200941324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -2\/39  (b) 8  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, 1, 28, 2, 7401, -3 in increasing order.\nAnswer: -4, -3, 1, 2, 5, 28, 7401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eighty-five quarters of a meter?\nAnswer: 2125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2776*b = 2742*b - 476 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2966432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2362, -5250, -8134, -11014?\n\"Answer: 2*m**2 - 2894*m + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 4*j**2 - 3*j - 5. Let n be s(5). Suppose 0*b = b + 4*k + 20, -4*b + n = -k. Suppose -2*v + 4*v - 14 = b. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -149, 2\/7, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(-7\/2)\/g*g*(g*g**(2\/15))\/g assuming g is positive.\nAnswer: g**(-71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 120.63 + -120. Let s = 0.63 - r. Sort -1, -1\/5, s, 1\/2.\nAnswer: -1, -1\/5, s, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3323*i**3 - i - 8208*i**3 + 28893*i**3.\nAnswer: 24008*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -0.2  (b) 1.19  (c) 0.5  (d) 0.2  (e) 2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -3*m**2. Let q(o) = 16*o**2. Determine q(y(s)).\nAnswer: 144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/72 and 266\/(-162) + (3 - (0 - -2)).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-38)\/(-10) + (-8)\/(-40). Suppose o = -r*o + 265. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (935\/(-22))\/(1\/(-2)). Suppose -5*z + j = 4*i, 0*z = 3*z - 15. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7241, 14480, 21719?\nAnswer: 28958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 658389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6404602 (base 7) in base 10?\nAnswer: -774790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 7 - 4 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 865 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-4)*-2*(-3 - -3). Let v(p) be the first derivative of 0*p**2 + 1\/2*p**6 - 2 + p**3 + l*p**4 + 0*p + 0*p**5. Find the third derivative of v(q) wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 a when three letters picked without replacement from iaiiiiiiaaiiiii?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 27 = -3*w + 2*w, 0 = -w + 5*r + 1. Suppose -23*c - 2 = -94. Sort 7, c, w in descending order.\nAnswer: 7, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100010010001010101011000 (base 2) to base 14.\nAnswer: 129c02c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8090123 - -2.\nAnswer: -8090121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 8\/25 of a meter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8*(-20)\/96*-6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-6)\/(-4) + 42\/28)*43?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1201232 + 0?\nAnswer: 1201232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -13*v**2 - 3 + 1 + 0*v**2 + 0*v**2. Let s(j) = -j. Give s(g(z)).\nAnswer: 13*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 4*d**2 - 4*d - 6. Suppose -7*j = -12*j - 15. Let a be p(j). Let z = -39 + a. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**3 + 5*x**3 - 4*x**3 - 2*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 14\/4*71\/(-994). What is the nearest to m in -4, 69, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(114)*1 - sqrt(114))\/sqrt(6) - (0 + sqrt(475)))**2 - (sqrt(76) - 1*((sqrt(76)*-1 - sqrt(76)) + sqrt(76)))\/(sqrt(4) - sqrt(180)\/sqrt(5)).\nAnswer: -2850 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**16\/(s\/(((s\/(s*s*s\/(s*s**(1\/7))*s*s))\/s*s)\/s)))\/((s*s\/(s\/(s**(-9)\/s)))\/(s*(s*(s*s**22\/s*s*s)\/s)\/s)) assuming s is positive.\nAnswer: s**(309\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n**2 - 6*n**2 + 12*n**2 - 7*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/28*-21*(693\/243 - 3).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53019848?\nAnswer: 2, 7, 946783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.51 - -1.51002. What is u rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -180\/11 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*s + 8*s - 343*s**2 - 138*s**2.\nAnswer: -481*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 3*p - 18 = 0, -62*d = -61*d - 7*p + 67 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/1076 and -33\/4?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1512\/(-84)*2\/(-6)*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -3.97 and 218 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -127, -225, -323, -421, -519?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -19*h + 2. Let u(k) = 12*k**2. Give u(t(z)).\nAnswer: 4332*z**2 - 912*z + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of -8*k**3\/3 - 2*k + 54. Let l(z) be the second derivative of -z**4\/6 + z. Calculate h(l(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5287730 to the power of 1\/2, to the nearest integer?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, -28, -53, -84?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of u**8\/2240 - u**7\/1260 + u**4\/8 + 2*u**2. Let v(a) be the second derivative of i(a). Find the third derivative of v(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -g**5\/210 - g**4\/42 - g**3\/21 + 3*g**2\/2 - g. Let p(t) be the first derivative of u(t). Factor p(f).\nAnswer: -2*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 AM and 11:30 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of -p**4\/4 + 2*p**3 - 3*p**2\/2 - 6*p + 5. Let h be l(5). Solve 7*d + 9 = h*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 583 + -584.7. Which is the second biggest value?  (a) -6  (b) r  (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 31 and 3349452753.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 29232, 117507, 264824, 471183, 736584, 1061027?\n\"Answer: 29521*q**2 - 288*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of -h**4\/12 - 3*h**3 + 6*h**2 - 25*h + 2. Let c(v) = -2*v - 7. Let j be c(5). What is the units digit of x(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 804*z - 9940 = 13654 + 1675 + 10911 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 + 6*j + 6. Let b be i(6). Let t be (2 - 10)*(-9)\/b. Calculate the common denominator of -99\/4 and (-25)\/t*26\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 302, 3, -1, 15 in ascending order.\nAnswer: -5, -1, 2, 3, 15, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/7)*b*b)**(11\/6)\/(b\/(b**(1\/3)\/b)*b**0\/b) assuming b is positive.\nAnswer: b**(52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16039*v + 7985*v = -7979*v + 3346 + 1229 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = -3*n + 18, 0 = -765*n + 763*n + x + 18 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-2 + 8 + 4 - 18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1366683539 rounded to 5 decimal places?\nAnswer: 0.13667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82768 + 82768 + 293*w.\nAnswer: 293*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 231, -1 in descending order.\nAnswer: 231, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhggh. Give prob of picking 1 h and 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(-9)*3*-1. Suppose v*s - 2*q - 110 = 0, -32 - 117 = -3*s - 5*q. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 273\/90 - (-6)\/(-2). Let r(i) be the third derivative of 0*i**3 + 0 + 2*i**2 - 1\/150*i**6 + 0*i + 1\/150*i**5 - 1\/525*i**7 + c*i**4. Factor r(z).\nAnswer: -2*z*(z - 1)*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 396 = 2*p + 4*d, 3*d - 8*d - 753 = -4*p. Suppose p = 14*r - 11*r. Suppose -27 + 231 = 12*y. Calculate the remainder when r is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1204699 to the power of 1\/2, to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 PM and 2:38 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11983 and 8857?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14454)\/(-19272))\/((-18)\/(-56)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 952*c**2 - 129*c + 72. Let o(z) = -423*z**2 + 57*z - 32. Give -15*n(m) - 34*o(m).\nAnswer: 102*m**2 - 3*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -40, -85, -144?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8.7869967795 + 8.787. Round s to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(297)\/(1*sqrt(9)))\/((2*sqrt(11) - sqrt(11))*3).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w**3 - w**2 - 6*w + 4. Let o be y(4). Suppose 14*g = 11*g - o. List the prime factors of (-3)\/4 - 403\/g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-2)*13\/(-65)*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 + 1 - 7) + (2 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 405*b + 36876. Determine w(-91).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 399 = -j + 401. Factor 4\/3*k + j + 2\/9*k**2.\nAnswer: 2*(k + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/(-18) - (-4)\/24*1934. Let l = u + -320. Factor 2\/3*j**4 + 0*j**l + 0*j - 1\/3*j**5 - 1\/3*j**3 + 0.\nAnswer: -j**3*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 + 6*z + 1. Suppose -2*n = n - 18. Let r be h(n). Suppose 5*y = -3*d - 18, 4*d - 9 = 4*y - r. Is 1\/18 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 332673?\nAnswer: 3, 11, 17, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/6 and 412\/(-4128) + ((-5)\/8)\/(-5).\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i**2 + 59685800*i - 222649670102500 = 0. Calculate i.\nAnswer: 7460725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + (4 - (-1 + 2)). Suppose 0 = -w - v + 5. Suppose -32 = -5*a + 3. Calculate the remainder when a is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10 + -4)\/3 + 9. Let w(f) = 14*f - 131. Let u be w(s). Let l = 28 + -6. Is l at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/3)\/((-1)\/(-51)). Let y = z + -14. Calculate the highest common divisor of y and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4854854 divided by -4854854.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -9  (b) 13\/6  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -973 - -975. Let z be ((-4)\/(-14))\/((-15)\/(-7)). What is the closest to 0 in z, -3, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -21*x**3 - 3*x**2 + 13*x - 14. Let p be j(4). Let y = -897 - p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*m + 18*m + 24 - 4*m to the form f + t*m and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 100 and 290860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 720 divided by 5.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 9, g: 10}. What is prob of picking 2 r and 1 g?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 201032300303301 - -11?\nAnswer: 201032300303312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -139999*y - 2. Let q be p(2). Round q to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -790000 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1219182092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2834148?\nAnswer: 2, 3, 103, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((q\/((((q*q**(-1\/3))\/q)\/q)\/q*q))\/q)\/q)\/q)**21)**(-23))**(11\/6) assuming q is positive.\nAnswer: q**(1771\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 7\/3  (b) -1  (c) -2\/39  (d) 4  (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 + 12)\/(-4) + 8. Solve -z - l*z - 10 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48165251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 - -75.5. Let k = 0.023 + 98.977. Let h = l - k. Which is the second biggest value?  (a) -1\/6  (b) h  (c) -0.2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/5?  (a) 2  (b) 38\/5  (c) 2\/5  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 39 * 1258\nAnswer: 49062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ezzz when four letters picked without replacement from eezezeeezeezee.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129*g - 175*g + 298*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 57\/(114\/176) + -55?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, n: 1, o: 5, y: 1, l: 2, x: 5}. What is prob of picking 2 o, 1 e, and 1 x?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 5655650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + 14 + (-9 - 19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11.002 - -110.632. Let l = 99 - p. What is l rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 - 1)*(9 - (12 - 4)). Let z(a) = -9*a + 11. Let v(s) = -14*s + 16. Let j(l) = -5*v(l) + 8*z(l). Let f be j(6). Sort f, i, 5, 3.\nAnswer: f, 3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -457 <= -456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 396387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1021 (base 3) in base 7?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1997400, -1997402, -1997404, -1997406, -1997408, -1997410?\n\"Answer: -2*m - 1997398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 214187 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31551 + 32981. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 0, -2, -8, -18, -32, -50, -72?\n\"Answer: -2*p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 4*h - 8 = -0*l, 2*l = -5*h - 10. Let i be l - (-1)\/3*-3. Let y(t) be the third derivative of -7*t**4\/24 + t**3\/6 - 3*t**2. Give y(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30229878?\nAnswer: 2, 3, 7, 179, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 17 - 5280\/660\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**2\/((n\/((((n*n**(-6))\/n)\/n)\/n))\/n)*n**(-3\/17)*n**27)**(-24\/11) assuming n is positive.\nAnswer: n**(-8496\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {r: 1, e: 2, n: 2, k: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-45)*(-54)\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 8 and 3491\/390 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 - 13*z**2 - 23*z - 6. Let t be p(-11). Suppose -5*s + t*f + 9133 = f, -2*f = -s + 1823. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40293, 40206, 40121, 40038, 39957?\nAnswer: 39878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 465516 (base 8) to base 11\nAnswer: a912a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*h - 5*d + 31, -2*h + 15*d + 13*d + 4 = 30*d for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.92 + -0.08. Let d be 7\/21 + -1 - 34\/(-42). Sort d, -0.3, z in decreasing order.\nAnswer: d, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 227169 - 227008. Suppose -2*k + 5*k - 165 = 0. What is the remainder when z is divided by k?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of s**3*u*z**2 + 2*s**3*u - 7*s**2*u + 2*s**2*z - 78*s*u*z**2 - 4*s*u + z**2 wrt z?\nAnswer: 2*s**3*u - 156*s*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 278565528 divided by 92855176\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -979 = 13*z - 1031 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*1\/2*(-8)\/32.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1246 times 0.10538?\nAnswer: 131.30348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/12939?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -49580, -99868, -150156?\n\"Answer: -50288*q + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 208095 by -5.\nAnswer: -41619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 + 3 - 2)*(2*g**4 - 2 + 2) - 20*g**3 - 5*g**4 + 20*g**3 + (3*g**2 + 0*g**2 - 4*g**2)*(2*g**2 + 2*g**2 - 3*g**2).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**25*s**(13\/6))**(19\/4) assuming s is positive.\nAnswer: s**(3097\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 AM and 10:24 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33820 is divided by 47?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of 79\/24*z**4 + 0*z - 35*z**2 - 7*z**3 + 0. Differentiate b(u) with respect to u.\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -224570 (base 9) in base 16?\nAnswer: -20dcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - i = 92, 5*i - 40 = -3*j + 40. Let k(n) = j*n**2 - 31*n**2 - 6*n - 3 + 6 + 7. What is the least common multiple of k(-6) and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -410, -410, -418, -440, -482, -550, -650, -788?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (-3 + 5)) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from xrvxxevxwrvyxrwwr.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 43*q**2 - 686*q + 56. List the prime factors of i(25).\nAnswer: 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 + 21*t + 7)*(t**3 - 2*t**3 - 7*t**3) - 4*t**2 + t**4 + 4*t**2 in the form m*t + b*t**3 + w + p*t**4 + c*t**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 93077.67 years?\nAnswer: 1116932.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225*b**3 - 27*b**3 + 218*b**3.\nAnswer: 416*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u + 6*u + 444 = 0. Suppose -86 + u = 5*v. Solve -5*g = -v*y + 15, 2*g + 2*y + 1 = 7 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.032 in -1, 3.08, -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 take away -0.52870702?\nAnswer: -15.47129298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-15) + (-96)\/(-190). Let p be 5\/(-4) + 7\/28. What is the closest to 1 in p, z, 5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t - 1. Let o(k) = -5*k + 6. Let j(l) = 6*a(l) + o(l). Let v(d) be the second derivative of 0 - 3*d + 1\/6*d**3 + 0*d**2. Give j(v(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/(-16)*2\/(-3). Which is the nearest to p?  (a) -0.3  (b) 0.4  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/35)\/(2\/(-5))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 + 2)\/(2\/4). Let j(i) = -3*i**n + 0 + 0. Let a(p) = -438*p + 438*p + p**2. What is a(j(q))?\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -813145?\nAnswer: -813145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 2*w - 24027 - 1441, 0 = 5*a - 5*w + 42445. Round a to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 105*p. Let g(z) = 2*z. Determine g(c(i)).\nAnswer: 210*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 67180 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/2*22\/(-561)*-34.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**3 + 0*x**3 - 3*x**3 + 0*x**3 - 4*x**3 + 6*x**3 + (12 - 8*x - 12)*(3*x + 2*x**2 - 3*x) to z*x**2 + q + u*x**3 + i*x and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.1 - 4.54. Let b = 15.96 - n. Let f = -2.9 + b. What is f rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**2 + 146716248*q - 146716252.\nAnswer: 4*(q - 1)*(q + 36679063)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -t**3 + 16*t + 0*t - 2 - 19*t in the form d*t + s*t**2 + l*t**3 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 292 = -5*o + o. Let c = o - -37. Let m be (-80)\/c - 2\/9. Solve 2*q = -m*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 + (-2 + 1296)*(26 + -9) a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28.965 + 30.9. Let l = 0.065 + r. Let h = l - 2.5. What is the closest to -2 in -1\/4, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (3*sqrt(209)*-2)\/((2*sqrt(176) - sqrt(176)) + sqrt(176)).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.2 - -0.2. Let i = -0.8 + 1.8. Let t = i - 1.1. Which is the nearest to t?  (a) 2  (b) o  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 559, 2244, 5055, 8992?\nAnswer: 14055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128)*-3*-5 + -3 + ((sqrt(128) - ((3*sqrt(128) - sqrt(128)) + -4)) + sqrt(128))**2*3)*-3.\nAnswer: -360*sqrt(2) - 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -264*f + 15 = -269*f. Suppose -7*o + 6*o + 3 = 0. Sort f, -1, o in decreasing order.\nAnswer: o, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19.5 - 19. Let y(j) = j**3 + j**2 + 12. Let q be y(0). Suppose 4*k = 5*n - 3 + q, 4*k = -4*n. Which is the closest to n?  (a) 3  (b) -0.2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -157 + 278. Is 4 a factor of (-57)\/(-11) + (-22)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*r**4 - 205*r**3 - 176*r**2 - 36*r.\nAnswer: r*(r - 9)*(5*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kcy when three letters picked without replacement from bekcy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -4*d + 66. Let f = -3669 + 3777. What is the remainder when f is divided by n(13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**2 - 4*w**2 + 0*w**2 + (-4*w + 2*w + 0*w)*(-w + 2*w + w) - 2*w**2 + 3*w**2 - 2*w**2 + 2*w - 1411*w**2 + 2258*w**2 - 2245*w**2.\nAnswer: -1408*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -36*b**2 + 302*b wrt b.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*j + 31 = 0, 10 = -a - j + 26. Let s = -12 + a. Suppose -s*v + 3*v = -10. Let h(c) = -c**2 + 3*c + 4. Determine h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2*k**2 - 28*k**2 - 1.\nAnswer: -26*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -305, -340, -375?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 256 (base 11) in base 5?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hthrhhzz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 7*a**2 - 5*a - 13. Suppose 9*q + 0 + 63 = 0. Let y be h(q). Let d be -8*(2 + 85\/(-4)). Calculate the greatest common divisor of d and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q - z - 13312 + 13307, -5*q = 2*z + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**21\/n*n\/(n\/n**(-14))*n**(-2\/51)\/n**(-2\/123))**10 assuming n is positive.\nAnswer: n**(48630\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(10\/27)*90\/(-135).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from wwwwwwwowowwwwo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w - 1. Let t(g) = 11*g - 34*g + 3 + 29*g. Let q(f) = 6*t(f) + 17*z(f). Calculate q(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*j + 0*j + 3*j - 3*j + 0*j + j - 4*j + 4*j - j - 2*j - 2*j + 3*j + (-j - 1 + 1)*(0 + 1 + 1) - 2*j + 2*j - 2*j - 2 - j + 2.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*w**2 + 2209*w - 1771 wrt w?\nAnswer: 4*w + 2209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + o + 0)*((-2*o + 7*o - 4*o)*(-4*o + 2*o + o) + 2*o**2 - 2*o**2 - o**2) to the form f*o**2 + x*o + d + p*o**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 123 and 13407?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -62 - (-77574)\/462 - ((-32)\/176)\/(1\/6).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -901 divided by 11\nAnswer: -901\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 + 7*g + 5. Let u be i(-6). Is 6 a factor of (-35 - (u + 0))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29474829 divided by -3?\nAnswer: -9824943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -42 + 66. Suppose 31*z - w*z = 28. What is the lowest common multiple of z and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand h - h - 2*h**2 + (-2 + 2 - 2*h)*(-3*h + 4*h + 0*h) - h**2 - 2*h + 2*h + 6*h**2 - 15*h**2 - 30*h**2.\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -25 - 118?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 43*-1.3\nAnswer: -55.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 7*v**2 - 23*v + 48. Let t be a(15). Suppose 7*m = -s + 5*m + 648, 2*s - 5*m - t = 0. What are the prime factors of s?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -4*i + 28, 0 = -a + i - 3*i + 18. Let o be (1*20)\/(a\/(-16)). Let f = o - -123. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 84 = -i, -258 = -3*i - 107*k + 102*k. Calculate the smallest common multiple of i and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 75 = 3*k, 3*a = 4*a + 3*k - 30. Determine r so that 43*r**2 - 9*r**5 - 10*r**2 + 3*r**2 - 24*r - a*r**4 + 18*r**3 = 0.\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 2 - (-3 - -4 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2217*u**5 + 1617*u**3 + u**2 + u - 266795?\nAnswer: 133020*u**2 + 9702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/2)\/((-3)\/6) - 2372497\/(-2373389). Is 0 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 5*s = 5. Suppose 8 = 4*c - 5*h, -c + 4 - 5 = -2*h. Suppose c*u = 8*u - 24. What is the remainder when u is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 439*x - 273*x - 575*x - 907*x.\nAnswer: -1316*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81271*r - 28884*r - 39773*r - 64660*r.\nAnswer: -214588*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - 12*z. Let p be g(12). Suppose -3*o + f = 16, 5*f = -3*o - p - 46. Let a(m) = -m**3 - 6*m**2 + 8*m - 1. Determine a(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18 + 15. Which is the nearest to 0.9?  (a) -4  (b) p  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 6137.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16 - 41 - 109*i + 110*i to k*i + c and give c.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*v = -477 - 738 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/19, 0.2, 2, -3, 398, 5\/4 in descending order.\nAnswer: 398, 2, 5\/4, 14\/19, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 1 + 4 = 0. Let a = 2 - y. Is -1\/19 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 4*s + 4480, -i - 1185 = 2*s - 62. Let g = i + 2295\/2. Let r = -31 + g. Which is the second biggest value?  (a) 0  (b) 0.3  (c) 1\/3  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 5*a - 1161, 1165 = 4*a + a + 5*l. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2319631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/10 in -4\/3, 4, 5, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**3 + 27*s**2 - 10*s - 28. Let j be i(13). Let o = -7 - -5. Let g = 2 + o. Solve 3*x + 1 = t + j, -4*t + 4*x - 24 = g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of -4*y**3\/3 + 985*y. Let z(b) = -2*b + 6. What is z(k(m))?\nAnswer: 16*m + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - -5)*8\/(-6). Let a be (6\/o + 1)*-48. What is the units digit of (54\/a)\/(1\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1730687, -3, -4 in decreasing order.\nAnswer: -3, -4, -1730687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146*c - 158*c = 132 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l - 7. Suppose 10*z = -12*z - 924. Let p(r) = 1. Give z*p(b) - 6*k(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -246, -31, 0, -4, -5 in decreasing order.\nAnswer: 1, 0, -4, -5, -31, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 2\/3, 1\/4 in descending order.\nAnswer: 14, 2\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2063.57112s in days?\nAnswer: 0.023883925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20466)\/(-1895)*((-8)\/8)\/((-3)\/(-5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m + 4. Let l(i) = -i**2 + 5*i - 3. Let t be l(2). Suppose -t*f - 3 = 9. What are the prime factors of z(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -8974196?\nAnswer: 3589678.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*p**3 + 85*p**2 - 198*p**3 + 117*p**2 - 202*p**2.\nAnswer: -168*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2117.6633 + 2118. Round p to two dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -487452 + 265?\nAnswer: -487176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = 3*r + 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccvu when four letters picked without replacement from cvvcovvcccvcuvvcvcv?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 355 = 4*w - 2708, 5*y = -5*w + 3065. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 117404*n**2*z**2 - 49198*n**2 + n wrt z?\nAnswer: 234808*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4237532057 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 13 = -t + 1, -24*t = -28*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(98) - sqrt(98)*3)**2 + sqrt(2) + sqrt(200) + 0 + -2*(-2*sqrt(2)*2 - (sqrt(242) + 1 - sqrt(2))).\nAnswer: 39*sqrt(2) + 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -12. Suppose 6 = 3*g + 2*f, -k*f = -3*g + 2*f + 27. Let l = 15 - g. Solve -u + 5 = -o, l = 4*u - 2*o - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from kpkppkp?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (239\/((-28680)\/17360))\/(14\/(-6))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 5:21 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 5626?\nAnswer: 45008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 33  (b) -0.5  (c) 34\/3  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d - 19. Let o be g(-24). Solve -2*f - 3 = -o*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -11\/5  (b) -0.1  (c) -2\/83  (d) 0.5  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*l**5 - 7*l**4 + 38*l**5 + 2*l + 9*l**4 + 69 + 2*l**3 - 2*l**3 wrt l.\nAnswer: 1000*l**3 + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*m = -598 - 890 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1180926211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33*b - 106*b - 7*b)*(3*b - b + 0*b + b**3).\nAnswer: -146*b**4 - 292*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**1*s*s))**(-4\/23)*(s**(-2\/5))**(-48)*((s\/s**1)**(-3\/11))**(3\/13) assuming s is positive.\nAnswer: s**(2268\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 6*p = -5*g - 11, -4*p - 2*g = 2. Let a(k) = -k**2 + 6*k + 6. Let o(h) = h + 1. Give p*a(j) - 6*o(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 13098.84326 to the nearest 10.\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7959.849 years in millennia?\nAnswer: 7.959849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 3 + (-29 - (17 - (-27 + 10)))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -123949 + 25533579\/206. What is the common denominator of 49\/824 and h?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = c + 1. Suppose -2*i - c*d = -13, 0 = -2*i + 5*d + 1 + 22. What is the remainder when 2\/(-4) - 53\/(-2) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, k: 1, h: 3, z: 5}. What is prob of sequence hhs?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 847446 is divided by 390.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from xxxxqaafq.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -1\/1508  (b) -0.1  (c) 0.5  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + -4. Let f be (v + 27)\/((-2)\/(-9)). What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6897 - -7?\nAnswer: 7.6897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/109373 and -43\/344894.\nAnswer: 56217722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 38*m**2 - 243*m + 77. Determine h(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1286 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, d: 2, k: 2}. What is prob of sequence kdgg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -11*g**2 + 9*g. Let w(s) = 3*s**2 - 2*s. Determine 2*h(r) + 9*w(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 6:12 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-1\/4))**(2\/37) assuming b is positive.\nAnswer: b**(3\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6821566.\nAnswer: 2, 3410783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*-2*((-132)\/24 + 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (3 + 1*sqrt(1539) + sqrt(1539) + 5 - (5 + -2*sqrt(1539) - sqrt(1539) - sqrt(1539))*-4) + -3)**2.\nAnswer: -5040*sqrt(19) + 302044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -688 + 843. Do 155 and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*i**4 - 8*i**3 + 36*i**2 + 8*i.\nAnswer: -4*i*(i - 1)*(i + 1)*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 15. Suppose b = 4*w + 12, 5*k - 29 = -0*w + 3*w. Let r be k\/(-2 + 6)*6. Solve 4*s - f = 17, -r*f + 11 = 4*s - f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u**2 - 2*u + 2. Let n be c(0). Let a(o) = o**3 + 2 + 2*o**2 - 68*o - 4*o**n + 70*o. Determine a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/5 + 25662*i**2\/5 + 15401*i - 51330.\nAnswer: -(i - 25665)*(i - 2)*(i + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 167121 and 186?\nAnswer: 334242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 78 - -16. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-2*(1 + sqrt(720)) + sqrt(720) + sqrt(720))*-4 + 0)**2.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3 - 13087*p**2 + 14274645*p - 4756761.\nAnswer: (p - 2181)**2*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {h: 2, p: 1, t: 1, a: 1, c: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3.631 or 16156?\nAnswer: 3.631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 5*w**2 - 1877*w + 7. Let a(c) = -3*c**2 + 937*c - 4. Calculate 7*a(v) + 4*o(v).\nAnswer: -v**2 - 949*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -24 + 4 + 4 + 1 - 5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 2:10 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*i**2 - 166*i**2 + 0 - 156*i**2 + 3 + 0 - 2.\nAnswer: -229*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y**2 + 18*y**2 - 8*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -7 + 14*x - x**2 - 5*x - 3. Let c be k(7). Solve 0 = z - 0*h + h - 2, 2*h = c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.12821455 and -0.3.\nAnswer: -0.338464365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -289 + 407. Is 27 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 8 = 2*s, 0 = -5*r + r - 3*s + 16. Solve 0 = -x + 9 - r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 75 = -0*t. Suppose -3*l - 23 = 4*p + 42, 0 = 4*l + 3*p + t. Let x(g) = -7*g - 30. Is 15 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 + 8*c**2 - 11*c - 11. Suppose -t - 465 = -6*t. Suppose -t*p = -101*p - 72. What is o(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*h - 42 = 54. Suppose -4*q = h*z - 1581, 2*q + 4*z = 6*z + 808. Calculate the greatest common divisor of q and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.34 - -14.81. Let v = 1.434 + 0.196. Let m = w + v. Round m to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3356216 + -10?\nAnswer: -3356226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 67496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1332, 2, -2, 4 in ascending order.\nAnswer: -1332, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1019 + -627. Let r = -387 + a. Solve r*b + 5 = -2*t + 4*b, 0 = 3*t + b + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 93 - 23 = 0. Let o = l + -27. Solve 0 = o*g + 8 + 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-1))\/((-9)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 + (418\/(-132))\/(5\/30).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) 3\/2  (b) 0.74  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -148.704 - -149. Let g = r - 0.296. Which is the biggest value?  (a) -2  (b) 2\/3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -2*i - 37951, 3*o - 8*i = -3*i + 37957. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/10 of a microsecond in nanoseconds?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26 - -28. Let y be -2 + ((-52)\/(-39) - t\/6). Let v be (-2)\/(-5) - (-6)\/35. Put -0.1, v, y in descending order.\nAnswer: v, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40 + -32. Calculate the least common multiple of v and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 + 27091930*v + 36698633556245.\nAnswer: 5*(v + 2709193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.2164184 millimeters?\nAnswer: 0.0000002164184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 7*y**2 + 3*y + 3. Is r(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 138*x**3 + 3 - 4 - 2.\nAnswer: 138*x**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 0*i - 11 = -4*i, -13 = 5*d + 3*i. What is the tens digit of 1\/d - (-768)\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -82  (b) 3\/2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -53  (c) 7  (d) 149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-296 + 46*q + 296)*(-1 + 1 + q)*(1 - 3 - 1 + (-3 - 2 + 4)*(-3 + 2 + 2)).\nAnswer: -184*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6369.545l to millilitres.\nAnswer: 6369545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 599766.\nAnswer: 2, 3, 99961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 435*c - 438*c + 1938. Is c a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/7)\/(1048\/2751)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -17  (b) 5  (c) -288112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-249)\/(-6) + -5*3\/(-30). Let w be (14\/o)\/(2\/12). What is the first derivative of 14*c + w*c + 16 - 5*c + 10*c wrt c?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.9 + 1.1. Which is the nearest to n?  (a) 0.5  (b) -5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5316 and 6492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.1814+-166476.7973\nAnswer: -166476.9787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -9*n - 317. Let y be c(-34). Is 83775\/35 - (-1 + y\/(-7)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n**(-1\/2)*n*n*n**(-9\/4) assuming n is positive.\nAnswer: n**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -2*q + 139, -5*p + q + 133 = -0*q. Let x = -24 + p. Suppose 973 = 5*k + 2*t + 246, -3 = -x*t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 2*a - 3*j, 169*j + 12 = 4*a + 173*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + -5.5. Let m = d - -2.5. What is the nearest to 0 in -5\/3, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 542\nAnswer: -1\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 75 + 66. Let t = q + -115.5. What is t rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17576 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -666 divided by 133\nAnswer: -666\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -502 (base 11) to base 16.\nAnswer: -25f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -41688654 by 3.\nAnswer: -13896218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-8)\/22)\/2 + 486\/(-594). Let f(v) = 8*v**3 + 2*v**2 + 2*v + 1. Give f(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 6*d**2 + 6*d - 5. Let f be s(-7). Let w = f + 2. Suppose -y + 2*b = -w*y + 32, -20 = 4*b. What is the least common multiple of 34 and y?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1314)\/(-270))\/(6\/5) - 4?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -11*a**2 - 6*a + 60. Let r be n(6). Is (6456\/32)\/((-9)\/r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(66)*-1 - sqrt(66) - (sqrt(66) + -5*sqrt(66)*-1))\/(-3*(sqrt(150) - -1*sqrt(150))).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 42112181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/146 - -5975\/1606. Find the common denominator of -1 + -1 + (-52)\/(-5) and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*q - 46 - 2. Solve 2*f - q = 2*h - 8, -h - 4*f + 13 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -16*v + 82 - 7. Solve 5*l = v*c - 3 - 7, 0 = -6*c - 3*l + 30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 + t**2 - t + 36. Let x be h(0). Let o = 4 + x. Let u = 212\/7 - -3\/14. Find the common denominator of o and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 91030094 to the power of 1\/2, to the nearest integer?\nAnswer: 9541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -21200 (base 3) to base 12\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5641?\nAnswer: 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - -3422152?\nAnswer: 3422143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 12*y. Let v(m) = 227*m**2 + 228*m**2 + 229*m**2 - 707*m**2. Give c(v(x)).\nAnswer: -276*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 - 1021*f**2 + 118120*f - 14209. Determine b(888).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6133728?\nAnswer: 2, 3, 181, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 - 13. Let k = -50.427 - -49.927. What is the nearest to 0 in 5\/6, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5823, -5795, -5697, -5493, -5147, -4623, -3885, -2897?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 58 - 39. Suppose 3*a + 7 = k. What is the units digit of (7\/2)\/(2\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y = -4*y - 159. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 + (1 + -13 - (-511 + 499))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 101718201 or 101718193?\nAnswer: 101718201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 27 = -5*j, -4*t + 2*t + 4 = 0. Let g(v) = -2*v + j - 2532*v**3 + 4*v - 5*v**2 + 2531*v**3. Suppose 0 = -4*a + 5 - 25. Give g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 427*z - 426*z + 63*z**3 + 2 + 16*z**3 to the form p + r*z**2 + f*z**3 + d*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 854*r**2 + 34*r**3 - 796*r**2 - 36*r**3)*(-2*r**2 - r**2 + 2*r**2).\nAnswer: 2*r**5 - 58*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1b0a + 4?\nAnswer: 1b0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 637 and 17381?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1116 or -1118?\nAnswer: -1118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 4*f - 4. Let r be s(0). Let g(y) = y**2 + 4*y + 5. Determine g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11877433.\nAnswer: 31, 383143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-2)*25\/225?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of j**4\/24 - 433*j**2. Let h(d) = d**2 - 1609. What is h(v(r))?\nAnswer: r**2 - 1609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/((-8)\/4))\/((-5)\/1005). Solve -8 = 205*i - f*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -18*t**2 - t. What is y(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 3*c**2. Let i(h) be the third derivative of h**7\/840 + 19*h**4\/24 + 10*h**2. Let l(r) be the second derivative of i(r). What is l(d(q))?\nAnswer: 27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -575437 - 254663 = -75*y. List the prime factors of y.\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 - 5*q**2 + 4*q. Let x be u(4). Let t(m) = m**3 + 3*m**2 - 2*m. Let b be t(x). Factor 4\/3*d**4 + b + 2*d**3 - 2\/3*d + 0*d**2.\nAnswer: 2*d*(d + 1)**2*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27\/12)\/((-35640)\/2880).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - 13*y**2 + 2. Let j be r(13). Which is the closest to -0.2?  (a) j  (b) -2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/7*(-13)\/((-234)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2.2  (b) 4  (c) -4\/24547  (d) -1\/6  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/54*-12*(-468)\/(-208)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + -1*1*sqrt(176)*-1)*-5 + 1)**2*4.\nAnswer: 640*sqrt(11) + 17664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 - 14*s - 10. Does 13 divide n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-39)\/(-104) - 21\/(-8). Solve -k = 3*c + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -69 - (-1427 + 1457)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8460742l in millilitres?\nAnswer: 846.0742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/2)\/((-2)\/4). Suppose -13 = -5*h + g*q, h - q = -h + 6. Let i = 1 - 4. Put i, 4, h in increasing order.\nAnswer: i, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 0*f + 5*f = -35, -10 = -w + 2*f. Suppose 2 = -3*r - w. Does 10 divide ((-5)\/r)\/((-6)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 967776652?\nAnswer: 2, 5237, 46199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from muuuunyunmuy. Give prob of picking 1 m and 2 n.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wzcc when four letters picked without replacement from cpqcwcpwwzzc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 10 = -3*q, -2*k - q + 13 = -2*q. Let g = k + -7. Suppose 3*a - 54 = -2*b - 11, 3*b - 5*a - 55 = g. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 30*x**3 - x**2 - 4*x - 2. Let p(h) = -152*h**3 + 5*h**2 + 22*h + 11. Give -2*p(w) - 11*r(w).\nAnswer: -26*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -20323?\nAnswer: 20331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -7290, -29254, -65862, -117114, -183010?\n\"Answer: -7322*t**2 + 2*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-47)\/(470\/315))\/((-14)\/12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21953\/9 + -2477. Is -37 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -236*f - 2932. Calculate i(-14).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -254 - -564. Suppose 0 = -8*v + 3*v + 30. Suppose u = v*d - d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, j: 4, m: 8, p: 2}. What is prob of sequence pjj?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1 + -0.72. Let u = 0.18 - l. Let z = -48 + 142\/3. Which is the nearest to 0.1?  (a) u  (b) z  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -31*s**2. Let q(z) = 1326*z**2 + 91*z - 546. Let x(m) = -117*m**2 - 8*m + 48. Let b(d) = -8*q(d) - 91*x(d). Determine b(y(r)).\nAnswer: 37479*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 - -18. Let o be 270\/(-2 - (-4)\/8). Let m = -178 - o. Solve -5*u - j = -2*x - 4*u, -2*u + 6 = m*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j**2 - 8*j + 13. Let v be c(6). Let t = -35 + v. Do 9\/8 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 43*p**2 + 2*p + 1. Calculate r(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = b - 5. What is the remainder when 105 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nbnqnbbnnqnn. What is prob of picking 1 q and 1 n?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d - 1. Let r be n(-2). Let l be -1 + r\/((-20)\/12). What is the derivative of 0*f + l*f + 4 + 2*f + 0 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-39*x + 39 - 39)*(199*x**3 - 543*x**3 - 345*x**3) in the form c*x**2 + w*x**4 + j + d*x**3 + r*x and give w.\nAnswer: 26871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 + 9*j + 12. Let s be g(-8). Let t(k) = -k**3 + 5*k**2 - 6*k + 5. Determine t(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -271, -2421, -8267, -19657, -38439, -66461, -105571, -157617?\n\"Answer: -308*r**3 + 6*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 27\/5, -0.2, 2\/3, 0.4, 150 in ascending order.\nAnswer: -0.2, 0.4, 2\/3, 27\/5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -324 = -3*g + 3*b, 597 = 5*g + 2*b + 22. Let l be 5 + -1 + (-4)\/(-2). Suppose -g = -3*y - 2*q, l*q - 116 = -3*y + q. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1220646.999938 - 1220649. Let b = -2 + 0. Let j = f - b. What is j rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -396*w**2 + 5*w + 398*w**2 - 5*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2 - 18*w + 42. Let c(j) = j**2 - 18*j + 42. Let x(b) = 3*c(b) - 4*u(b). Let t be x(3). Solve 0 = 4*s - 2*v + 3 + 7, -t*s - 15 = -3*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -15. Suppose -v - 2*f = -7*f + 10, 0 = 4*v - 5*f + 10. Suppose 2*x + v*x = 8. Solve x*b - a*o + 23 = -13, 1 = b + o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30416492+350457.4\nAnswer: 30766949.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -190495\/18 - -10590. Find the common denominator of ((-33)\/(-44))\/((-24)\/(-34)) and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3878114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 5*v**3 + 3. Suppose 13 - 3 = p. Let z(t) = 7*t**2 - 1. Let s be z(-1). Suppose 3*o - s*o = -9. Let b(j) = -16*j**3 - 10. Determine o*b(r) + p*h(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 7*p. Let z(c) = -697*c - 21. Give m(z(u)).\nAnswer: -4879*u - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {e: 7, s: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 53860 equal to 53861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2863?\nAnswer: 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 286540229.\nAnswer: 157, 293, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tzb when three letters picked without replacement from tbdtttfzdb?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5320?\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 0*a - 7 = -2*x, -a + 1 = -4*x. Let p(l) be the third derivative of -5*l**2 + 0*l**3 + 0 + 3\/100*l**a + 0*l - 1\/40*l**4. Factor p(j).\nAnswer: 3*j*(3*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*a**3 - 17*a**3 - a - 34*a**3 - 17*a**3 as y*a**2 + j + v*a**3 + k*a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 11 + 7 = 0. Suppose -3*u = -5*o - 28, 0 = 3*o + u + 8 + v. Let k be 6\/15 + (-988)\/o. What is the greatest common factor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -3*u. Let n(z) = z + 0 - 1 + 1. Let f(m) = -m**2 - 6*m - 1. Let s(x) = f(x) + 6*n(x). Let h(b) be the first derivative of s(b). Determine h(d(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41482.\nAnswer: 2, 7, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3303056681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What is 753088662 to the power of 1\/3, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -3*o**3 + 3*o**2 - 24*o. Let w(i) = -i**3 + i**2 - 8*i. Let d be (-380)\/(-65) - 4\/(-26). Determine d*y(z) - 17*w(z).\nAnswer: -z**3 + z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1260 * 0.1193\nAnswer: 150.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 5*b = -1409, -4*b = -2*p - 6*b + 718. Let q = p - 141. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-16)\/(-6) + 4\/12. Let y be 1*(r - 19\/6). Which is the second biggest value?  (a) y  (b) -3\/4  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.02?  (a) 11  (b) -2.12  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12792107, -12792108, -12792109, -12792110, -12792111?\nAnswer: -12792112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -112*p**3 - 249*p**2 - 150054*p wrt p?\nAnswer: -672*p - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -141 - -73. Let k = -63 - q. Let a(c) = -2*c - 6. What is a(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -163*z**4 - 45*z**3 - 5*z**2 - 2*z + 843. Let r(x) = -164*x**4 - 54*x**3 - 6*x**2 - 2*x + 843. Let h(c) = 6*b(c) - 5*r(c). Differentiate h(w) wrt w.\nAnswer: -632*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -135 + 288. Suppose -u = 2*t - 5*t. Suppose -3*n + t + 21 = 0. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 702350*z - 4214104. What is j(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 9:59 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/((-456)\/(-63)) - (2 + 0). Let r = k + -1\/19. Let i = -40 - -37. Is i != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32 - -69. Let v = -33 + s. Calculate the least common multiple of v and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of -y**4\/12 + 124*y**3\/9 + 2241. Factor l(m).\nAnswer: -m**2*(m - 124)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1594 - 19117\/12. Is p at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -70.63 - 0.37. Let m = 70.5 + q. Let n = -0.2 - 0. Which is the second smallest value?  (a) n  (b) m  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, h: 2, u: 1, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 121 - 128. Let f = 1.5 - -1.9. Let q = -0.6 - f. Sort -5, x, q.\nAnswer: x, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -4  (b) 5764  (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of -1\/4*i**4 + 1\/3*i**3 - 3*i + 0*i**2 + 296 - 16\/5*i**5. What is the third derivative of f(r) wrt r?\nAnswer: -384*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 4, -4, -7, -227 in ascending order.\nAnswer: -227, -7, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 712.16 and -344?\nAnswer: -244983.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 701*z - 15084211675 + 15084211675.\nAnswer: 701*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 234852 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is e21 (base 15) in base 6?\nAnswer: 22421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in -3, -2\/7, -16, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 4*g**2 - 292*g + 262. What is p(72)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -725*k - 830*k - 367*k + 624*k - 656*k.\nAnswer: -1954*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 65 + 40?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1193156 times -676?\nAnswer: 806573456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*d - 11*d**2 - 4*d**2 - 33*d + 9*d**2 + 0*d**2.\nAnswer: -6*d**2 - 85*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 11 - 3 - (-14)\/(-7). Suppose -t - 2*u + 3 = -u, -c = -t - 2*u. Sort t, -5, 2, -3\/7.\nAnswer: -5, -3\/7, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v + 3*p + 82 = -v, 46 = 3*v - p. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1007 and 0.8034.\nAnswer: -0.08090238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 55848 divided by -2327\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/3)\/(g*g**(-8)))\/(g**(-1\/6)\/(g\/((g**(-4)\/g)\/g)))*(g*g**1)**(-19)*(g**(-2))**(-36) assuming g is positive.\nAnswer: g**(287\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 50 = 5*k, -2*p - 10 = -k - p. Let u be 3 + (-3 - (1 - -3)). Let m be ((-2)\/u)\/((-3)\/(-180)). Calculate the greatest common divisor of m and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2, 29, 1, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 899506 and 2?\nAnswer: 899506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -25784502 divided by -363162?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2349132 divided by -395?\nAnswer: -2349132\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5046 by -2467.\nAnswer: -5046\/2467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 3*x)*(x**2 + x**2 - 3*x**2) + (0*x + 4*x + 4*x)*(-98 + 25*x**2 + 98) as w*x**3 + f*x**2 + k*x + d and give w.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/(-18) + 48\/(3072\/(-80))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 11444118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 4*u + 15 = -106, -n = u - 39. Let i be (-1)\/3 - (-26307)\/1902. Let p = i - -2\/951. Find the common denominator of p and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 262 + 2?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 156852514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -10948067 not equal to -98532593\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lvag when four letters picked without replacement from {g: 4, j: 3, v: 1, l: 2, a: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -220565 divided by -44113\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36)\/368)\/((-738)\/328)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/2, -34, 66, 319?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 585, 830, 1465, 2682, 4673?\n\"Answer: 32*j**3 + 3*j**2 + 12*j + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-43 + 18 + 18)*(4 - 2 - 3)*(2*l**2 + 5*l**2 - 5*l**2)*(7*l + 4 - 4) to a + d*l + j*l**3 + p*l**2 and give j.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -50*j + 136. Let c be y(9). Let w = c + 371. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2*w + 0*w + 110 = 0, 151 = 5*s - 2*w. Let d = 10 + s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 118 = -3*h. Let z = h - 92. What is the smallest common multiple of z and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.4095 - -1.6495. What is the second biggest value in j, 0.2, 1, -1\/6, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2092 times -2.12\nAnswer: -4435.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 29327 + 2452. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25015827.6 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/3 + 5*b\/3.\nAnswer: -b*(b - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00005035 to 6 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3753 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -4*y**3\/3 - 18*y**2 - 32*y + 19. Determine n, given that s(n) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -124 + 122. Let n be 2\/i*14\/(-210). What is the closest to 2 in -5, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4964 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/8  (b) -1  (c) 2\/9  (d) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144*m**3 + 134*m**3 + 258*m**3 + 87*m**3.\nAnswer: 623*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 4816.16.\nAnswer: 1926.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 6*i - 41. Let s be y(7). Let m = -12 - -8. Sort 0, s, m in descending order.\nAnswer: s, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4595, 5251, 6053, 7001, 8095, 9335?\nAnswer: 10721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (10 + 20)*((-8)\/(-5) - 2). Let s(u) = u**3 + 3*u**2 - 3*u + 1. Let r be s(-4). Let p be y\/r + -2 - -348. What is p rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 4)*(3*j + j - 5*j) + (-2 - 5 + 2)*(-3*j + 2*j + 3*j) - 2*j + 4*j - 4*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.1 - -0.9. What is the nearest to 0 in 0.5, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1b (base 15) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -42 - -73. Suppose 4*f = 2*f + 4. Suppose -28 = -u + 7*q - f*q, 5*u - 36 = -q. What is the remainder when m is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4*f - 52. What is r(1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*w + w + 0*w)*(2 + 4 + 2 + (2 + 5 - 6)*(4 - 2 - 4) - 6 + 1 - 28) as a*w + b and give a.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5392676.\nAnswer: 2, 37, 83, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.4 - -0.2. Let i be (-1)\/(-3) - (8\/(-3) + 2). Let o = i + -8. Which is the closest to 1?  (a) -3  (b) o  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9)\/(-15) - 3\/5. Suppose k = -5*f - 14 + 4. Let t be 1\/(f\/(-46) + 0). Solve -5*i + 4*d = -10*i - t, 4*i + 3*d = -18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 290, 577, 864, 1151?\nAnswer: 1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 82, 20, -5, -1\/6, -13 in decreasing order.\nAnswer: 82, 20, -1\/6, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 3 = -2*i, -b + 0 = -1. Which is bigger: i or 40\/23?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f**6\/f))\/f**(-2\/3))**(3\/5)*(f\/(f*f**1*f))**9*f\/(f**2\/f)*(f\/(f\/f**(-3)*f))\/f assuming f is positive.\nAnswer: f**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 7*g**2 - 42*g + 6. What is l(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 2*z + 24, 0 = -2*z - z - 6. Let m = f + 0. Is 21 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/213225 and 52\/31273?\nAnswer: 2345475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*x = -2159063 + 694447. Calculate the remainder when x is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 40 + -34. Solve -c + k = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 7. Suppose -5*c - 5 = n - 3*n, 2*c - n + w = 0. Suppose 12 = -2*h + 2. Put c, 0, h in descending order.\nAnswer: c, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of -2*f**5\/15 + f**3\/6 - 3*f**2. Let x(k) = k**2 - 12*k - 29. Let u be x(14). What is n(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 109 = 4*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.430951 - -0.4328. What is g rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 7 + 9 = 0. Let r be -458*q*120\/(-16). Suppose f - 6860 = -3*u, 2*u = 5*u + 3*f - r. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2 - 7*y - 14. Suppose -4*o + 116 = -4*m, 37 = 4*o + m - 94. Let n = o + -25. Is q(n) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2697 is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*b - 5*b = 17*b - 555 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -6*c - 46. Let p be f(-8). Suppose 0 = -t + 5*a + 2 - 1, -58 = -4*t + p*a. Solve 0 - t = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 1099026, 0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*k + 77*k - 26*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1113322 - 1?\nAnswer: -1113323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/(-32)*40\/75)\/(2\/69)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*c*n - 74*c*w**5 + c*w**3 - 2*c + n*w**2 + n*w + w wrt w.\nAnswer: -1480*c*w**3 + 6*c*w + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 20 - 36. Let a(d) = -d**3 + d**2 - d + 98. Let g be a(0). What is the highest common divisor of q and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*p**4*v + 40*p**4 - 116*v with respect to p.\nAnswer: 8*p**3*v + 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 5*w. Let c(j) = 1882*j. What is s(c(a))?\nAnswer: -3541924*a**2 + 9410*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1508 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: Is 35 a factor of 9090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1443 and 0.3?\nAnswer: -0.04329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 + -1 + 0)\/(-3). Suppose -x + 3 = -4*x - 4*j, -2*j - 6 = b. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 58*k**2 + 64*k**3 - 32*k**2 + 15*k**4 + 6*k**2 - 4*k**5 + 48*k**2 - 11*k**4.\nAnswer: -4*k**2*(k - 5)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100100010 - -101001011100111?\nAnswer: 101010000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 4*z = -2*h - 7, -5*h + 1 = 3*z. Sort -2, h, 7 in ascending order.\nAnswer: -2, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -120 divided by -24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 11, h: 2, c: 1}. What is prob of sequence ch?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/(-30))\/(-19*20\/(-950)). Factor -f*h + 2\/9*h**2 + 0.\nAnswer: 2*h*(h - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -2*c + 4 - 2, 3*i = 4*c - 8. Let q be (2 - (c + 3))*-1. Suppose 3*r - 33 = -q*r. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 - 424 + 16)*(2 + j - 2) - 2*j - 2*j + j.\nAnswer: -422*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.8434 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -236 or -235?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 967525.\nAnswer: 5, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of 23\/6*k**3 - 19*k + 5\/14*k**7 + 0*k**2 + 0*k**5 + 0 + 0*k**6 + 0*k**4. What is the second derivative of t(j) wrt j?\nAnswer: 300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 25 from -1.140439.\nAnswer: -26.140439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57107051?\nAnswer: 2137, 26723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j + 50 = 4*v, -4*j - 2*v + 8*v = 9*v - 33 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v**2 + 22*v - 45. Let p be l(3). Which is the nearest to p?  (a) -4  (b) -2  (c) -0.58  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*n**2 + 86*n**3 + 3 - 1 - 4 + 29*n**2 - 7*n**2 to the form d*n + r + j*n**3 + q*n**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 450 and (32 - 33)\/(2\/(-8))?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 674 = 3*o, 2*j - 3*o + 4*o + 678 = 0. Which is the biggest value?  (a) -1\/3  (b) 3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21214782697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 215\/(-43)*(-6)\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -76 * -0.42\nAnswer: 31.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6534107 + -2?\nAnswer: 6534105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**5 - 8 + 8 + (o**4 + 0*o**3 + 0*o**3)*(0*o - o + 3*o) + 4*o**5 + 0*o**5 - 2*o**5 + 148758*o**3 + 364*o**5 - 148758*o**3.\nAnswer: 369*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*h**6 + 39*h**5 - 11*h**3 - 90*h**2 + h - 13 wrt h.\nAnswer: 360*h**3 + 2340*h**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 72*g + 360. Let u be f(-5). Let i be (-2)\/((-4)\/10) + 0. Suppose u = -i*k + k + 16, m - 2*k = 17. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 92?  (a) -224  (b) 5  (c) -8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 10:02 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mlmhh. What is prob of sequence mh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 - 8*c + 11. Suppose 0 = n - 12 + 6. Let x be w(n). Put 32, x, -3, -2 in descending order.\nAnswer: 32, x, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65 divided by -1062868.\nAnswer: 65\/1062868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-14) + 42\/147. What is the biggest value in -4, 0, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1325, -3523, -8371?\nAnswer: -13219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1523\/9 + 169. Let n = -1 + 1. Which is the nearest to 3?  (a) -5  (b) w  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162703 is divided by 546?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 j, and 1 l when three letters picked without replacement from bnbssninnbbnsssijbl?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = -13*x + 16*x - 4, 3*u + 3 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h - 12*h = 4*l + 105, 0 = -3*h - 5*l - 294. Let p = h + 98. What is the greatest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.6 - 1.6. Let b = -31708 - -31708.5. Sort b, 0.111, s in descending order.\nAnswer: b, 0.111, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 26322888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -117 - -122. Suppose 3*z = -3*a - 0*z + 69, 4*a - 120 = 3*z. Solve -33 = -h*q + q + 5*i, -q = -5*i - a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/2611 and -85\/494.\nAnswer: 1289834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b - b + 3*b + (-1 + 1 + 1)*(-5*b - 3*b + 3*b) + (0*b - 9*b + 4*b)*(0 + 5 - 3) - 1 + 1 + b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_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: What is 71663294 to the power of 1\/3, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28172365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 53.690883 and -0.4.\nAnswer: 53.290883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 188319179\/1025 - 183726. Calculate the common denominator of n and 1\/250.\nAnswer: 10250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**(7\/5))\/c)\/c*c*c**0)**(-2\/13)\/((c**(-2\/3))**(-1\/56)\/(c\/(((c*c\/(c\/(c\/c**0)))\/c)\/c)*c)**(-5\/14)) assuming c is positive.\nAnswer: c**(-5141\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 90 = -0*t - s, 5*t + 2*s = 90. Determine h so that -t*h + 1 - h**2 + 2 - 20 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11000100 (base 2) to base 7.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -66 + 181. Suppose -i = -j + 5*b + 654, -b = -4*j + 3000. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5643 and 2?\nAnswer: -11286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21091 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7161.10203 rounded to 1 dp?\nAnswer: 7161.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 + 2. Let h = 110 - 102. Suppose -4 = -n, 2*x - n - h = -2*n. What is p(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13135154*j + 13135937*j = -74385 for j.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -448*s**3 + 3*s + 4. Suppose -279 + 479 = 4*b. Calculate the remainder when r(-1) is divided by b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-5\/9)\/i)\/i**(2\/3)*(i*i\/((i**15*i)\/i))**(-5\/2))**1 assuming i is positive.\nAnswer: i**(563\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 - -1) + -3 - -2. Suppose a*s - 24 = -2*q, -3*q + 14 = 5*s - 52. Let z = s - 15. Sort -5, z, 1 in decreasing order.\nAnswer: 1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 930 = 13*u - 8*u - 5*t, -4*u + 717 = 5*t. Let m = 198 - u. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 + 0)\/(1\/3*-3). Let u be ((-34)\/c)\/((-4)\/(-4)). Differentiate 16 + 1 - 30 - u*d with respect to d.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -20*k + 5. Let b(t) = -t**3 - 7*t**2 + t + 3. Let j be b(-7). Is w(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156782 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 3:30 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 11*p - 15 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 - 15.5. Let y = o + -2.49999993. What is y rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 866281677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (3\/7)\/(32\/224)*1\/(-27)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3)\/2)\/((-10)\/(900\/27)). What is the hundreds digit of (309\/c - (-33)\/165)*10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yjyy when four letters picked without replacement from jjyyyjy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from appxpxaaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -3290 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 4:18 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k**2 + 105*k - 1154. Let c be a(27). Solve -1 - c = -32*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 2\/5, -259, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1*14\/8*4 and 13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 33 - (62 - (10 - 8))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 134 - 128. Suppose 4*n = -5*m + i, -m + 3 = -10*n + 9*n. Which is smaller: 1\/414 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -5*c + 2*c - 34, 4*c + 29 = 3*b. Solve 20 = 4*j + b*k - 3*k, k = 3*j - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 723 - 656 - (128 + -4).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -9673 divided by 17\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1.6, 0.5, -52, -20?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7476670229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 269 - 319 = 0. Let z = h - -113. Differentiate 26 - 8*o + z*o - 2*o + 3*o wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137*p - 4026 = -289*p + 9606 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Find the third derivative of 39*z**5 - 65*z**2 - 2*z.\nAnswer: 2340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - z = 321287, -356*z + 353*z + 64235 = d. List the prime factors of d.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/22 and (589\/(-76))\/(1 + 0).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 12 = -5*h. Suppose -4*c + 2*o - 214 = 0, -157 = h*c - 0*c + 2*o. Let b = c - -77. Calculate the remainder when 46 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -235\nAnswer: 4\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 2*d**2 + 2. Let m be 6\/(-15) + (-68)\/(-20). Calculate the remainder when 19 is divided by t(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 211445 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 23 - (2 + (-6 - -4) - -12 - 7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 12 = -2*d, 2*i - 3*i = d. Suppose -d = a - 5. Suppose 0 = a*j - j - 15. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1496 - 1494. Let l = 41\/4 - 213\/20. Which is the closest to m?  (a) 2\/5  (b) -5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/1788 and -145\/42?\nAnswer: 12516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2b - -3f55?\nAnswer: 3f2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4614280 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17 - -36. Let n = g + 16. Suppose 0 = 9*l - 4*l - n. Calculate the lowest common multiple of l and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 6*b = -24, 235*o = 234*o + 5*b - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c. Let d be (20 + -20)\/(4 - 8). Let a(b) be the third derivative of d*b**3 - 1\/6*b**4 + 10*b**2 + 0 + 0*b. Calculate a(i(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 23 - 93. Let f = x + 16. Let c(m) = -m**2 - 2*m**f - 3*m**2 + 2 + 7*m + 5*m**2. Calculate c(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 781524 is divided by 2354.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + u + u + 3 = 0, 21 = 4*p + 3*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(28) + sqrt(77)\/(sqrt(11)*-2 + sqrt(11)))**2 + (4*sqrt(35)\/(sqrt(5)*1))**2 + -1.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 84 and 1864.\nAnswer: 39144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5367, 5369, 5371, 5373, 5375?\nAnswer: 5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -5*p + 1. Let i(r) = -9*r - 2. Let u(m) = m + 1. Let n(b) = -i(b) - 3*u(b). Determine 3*n(q) + 4*s(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of 2867*z**7\/70 + 983*z**4\/3 + 1060*z**2 - 5*z. Find the second derivative of u(q) wrt q.\nAnswer: 103212*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1448 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (430\/(-1720))\/(22\/48).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 89 = t, -5*t + 3*t = -3*o + 56. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*j**3 + j**3 - j**3)*(1 - 1 - 4) + 7 + 2*j**3 - 3 - 2.\nAnswer: 18*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 242362.7996 + -242241. Let b = w + 0.0004. Let i = b + -121.7061. Round i to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/1 + 0 - 0. Let y be (-2)\/5 - d\/5. Solve y*f - f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/15 in -0.02, 5, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i. Let x(y) = 10*y + 4. Let t(p) = -p + 1. Let j(o) = -5*t(o) - x(o). Let z(m) = -m - 2. Let u(b) = 2*j(b) - 9*z(b). Calculate c(u(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 58106 or 61873?\nAnswer: 61873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tqt when three letters picked without replacement from tqdttqqqqt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-15)\/18)\/((-25)\/6 - -4). Let v = 7 - 6.7. What is the biggest value in v, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4566368 rounded to the nearest one hundred thousand?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 5. Let i(g) = 2200*g. Let n be i(k). What is n rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 1146*u - 346 + 187 - 1147*u. Let i(t) = -6*t. What is l(i(x))?\nAnswer: 6*x - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9 + 0 - 3 - 8*m**2 wrt m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r - r + r - 2 + 2 - 2*r + (-r - 3*r + 2*r)*(0 + 4 - 3) + 0 + 0 - 2*r - 3 + 3 - 3*r as o + a*r and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 + 0 - (5 - 5). What is the first derivative of -4*s**4 - 1 + g + 0*s**4 wrt s?\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-9)\/(-30))\/(-2 - -2*4). Let i(n) be the third derivative of 1\/3*n**3 - l*n**5 + 0*n**4 + 3*n**2 + 0*n + 0. Differentiate i(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12070449284 rounded to the nearest 100000?\nAnswer: 12070400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 9 - 563*t - 286*t + 0 + 7 to the form r + q*t and give q.\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 526*y + 12789. Give q(-25).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -314030433 (base 5) in base 4?\nAnswer: -11000322331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 990474374 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 32 = -26. Solve k - 2*k = u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.611?  (a) 1  (b) -0.5  (c) -10  (d) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 39574451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5976?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5514318013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 + 5*j**2. Let d be o(0). Suppose -t - 26*w + 382 = -22*w, 5*t + 5*w - 1970 = d. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 219052969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 13 - 9 - (3 + 2 - 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3874 and 312.\nAnswer: 46488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24, 40, 66, 102, 148?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -0.4, -25\/4, 3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -63*h - 50. Let c(o) = 13*o + 10. Let w(x) = -2*b(x) - 11*c(x). Let j be (-10)\/3 + 4\/(-6). What are the prime factors of w(j)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3540, 3628, 3716, 3804, 3892, 3980?\nAnswer: 4068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 47202065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 13) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (3 + 1512\/(-500))\/(((-940329)\/(-570))\/(-423))\nAnswer: 2\/325","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8243510 + 1299435.\nAnswer: -6944075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - a - 1. Suppose -b = -5*f - 2*b + 19, 2*f - 7 = -b. Let l be 10\/f*2 - 3. Let v(k) = 10*k**3 + 11*k + 11. What is l*v(j) + 22*i(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1704 + 1699. Sort d, 30, -3.\nAnswer: d, -3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -7*p**2 + 13*p + 9. Let q(o) = -11*o**2 + 20*o + 13. Let i(x) = -8*d(x) + 5*q(x). Let n be i(6). Solve -4*k = -4*w - 4, -k = 7*w - 6*w + n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12838)\/5502)\/(1855\/30*-1).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29277\/22 + 1328. What is the common denominator of i and -79\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 163.8 minus -8?\nAnswer: 171.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*z**3 - 3*z**3 + 14 - 8 + 7*z**4 wrt z.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3162 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2843 divided by 101686?\nAnswer: 2843\/101686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1443 - -0.0443. Let f = -0.61 - 2.39. Let r = -0.6 - -0.1. What is the closest to l in -2\/7, r, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1895 - -2015. Calculate the greatest common divisor of 75 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*i - i + 4*i)*(215 - 213 + 591) as k*i + x and give k.\nAnswer: -1779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 206481 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000143495 to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 117.7 + -118. Let j(p) = -p**2 - 4*p + 6. Let i be j(-5). What is the closest to i in y, -2, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162) + 2 + (-2*sqrt(2) + -3 - sqrt(2) - sqrt(2)) + sqrt(2) + sqrt(2))**2.\nAnswer: -14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*m + 1525 - 1650 = 3*u + 29*m, 6*u = u + 2*m + 43 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/4*4*1\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + 3*h - 2*h)*(-h + 0*h + 0*h)*(269 - 128 + 371) - 3*h**2 + h - h.\nAnswer: -1539*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 - 9*r**2 - 233*r - 871. What is d(22)?\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of r - 1\/60*r**6 + 0 + 1\/6*r**3 - 1\/20*r**5 + 1\/4*r**2 + 0*r**4. Solve v(l) = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 84507791?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 294900?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5169 + -9562649\/1850. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 16\/(-4160)*562\/7. Let j = -3\/130 - u. Let g = -1 + -2. Which is the closest to j?  (a) 0.2  (b) g  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*m + 0*m**3 + 2*m**3 - 9*m**3 + 5*m**3.\nAnswer: -2*m**3 + 25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**45\/(v**(9\/5)\/v) assuming v is positive.\nAnswer: v**(221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 8*u + n = -104, -3*n = 5*u + 512. Let i = u + 106. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 + 12*t + 8. Let i be n(-12). Suppose -66 = -i*a + 94. Suppose -3*j = -x - a, x = -j - x + 2. What is the remainder when 33 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -70, -269, -624, -1147, -1850, -2745, -3844?\n\"Answer: -2*i**3 - 66*i**2 + 13*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/3 or -833845?\nAnswer: -833845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -545444*f**3*v - 3*f**2 - 364896*f*v wrt f?\nAnswer: -3272664*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -45128140 >= -45128135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 - -38. Solve 2*w + i = 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -275*f**4 + 8255*f**3 - 62025*f**2 + 1125*f.\nAnswer: -5*f*(f - 15)**2*(55*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 330210 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 + i**2 + (i + 2*i + 0*i)*(-i - 4*i + 4*i) + 56*i**2 + 51*i**2 - 4*i**2 as n*i + h*i**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((2*(sqrt(720) + 4 + sqrt(720)))**2 - (-3 + sqrt(50)\/sqrt(160))).\nAnswer: 3071*sqrt(5)\/4 + 11592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 267548 + -267548.119947. Let f = 0.41 + -0.29. Let s = f + h. Round s to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 - 5*f - 1. Let b be o(-4). Let t = 5 - b. Let y be 2\/8*27 - 8\/(-32). Is y less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, 1.1, -1\/9, 4, -1\/6, -7160 in ascending order.\nAnswer: -7160, -1\/6, -1\/9, 1.1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*t + 35 = 4*o, 3*o - 31 = 5*t. Suppose -o = -3*s + 52. Suppose -w - 17 - 10 = -4*v, 0 = 5*w - 5. Calculate the remainder when s is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1994, 3990, 5986, 7982, 9978?\n\"Answer: 1996*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -4, 16, 2, -315, 4 in descending order.\nAnswer: 16, 11, 4, 2, -4, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26168392, 52336784, 78505176, 104673568?\nAnswer: 130841960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74 is divided by 64.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -217, -218, -219, -220, -221, -222?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3886 and 116.\nAnswer: 7772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8.46 + -5.46. Sort 2\/3, b, 14, 2 in descending order.\nAnswer: 14, b, 2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 636 - 635.999489. Round o to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**3 + 2*b**3 - b**5 + (89*b**2 - 8*b**4 - 89*b**2)*(-3*b + 0*b + 0*b) + (3*b**3 + 0*b**3 - 2*b**3)*(-b + b**2 + b) + 18*b**5 + 9*b**5 - 8*b**5.\nAnswer: 43*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of -29*c**3\/3 + 3*c**2\/2 - c. Let a be (-335)\/134 + 2\/4. List the prime factors of m(a).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*k*k*k\/(((k*(k\/k**30)\/k*k)\/k)\/k)*k*k\/(k**(-5)*k))\/(k\/(k**7*k))**18)**(5\/6) assuming k is positive.\nAnswer: k**(835\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1592690, 3185380, 4778070?\n\"Answer: 1592690*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -333, -735, -1261, -1917, -2709?\nAnswer: -3643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4612\/19 - -243. Let a = q + -232\/665. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 35 = 5*h, 2*c = -4*h + 3*c + 25. Suppose h*v + 5*z = 30, -15 - 3 = -v - 4*z. Suppose -16 = -v*b + 54. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 239149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jbb when three letters picked without replacement from bbjjvjy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, -63, -75, -87, -99, -111?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-608580006)\/(-69) + (-4)\/46. Round o to the nearest 100000.\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 4*i + 4*k, 3*i - 4*k - 13 = -3. Let r = 8\/607 + -73607\/12140. Find the common denominator of 10750\/1580 - (i - -9) and r.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - -23 - 44) + -32.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 6642404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 599*x**4 - 31*x**3 - x**2 + 48825*x wrt x.\nAnswer: 7188*x**2 - 186*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 13) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10d (base 15) to base 13.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 333 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -26, 5, 441 in increasing order.\nAnswer: -26, -4, -2, 5, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + t + 42 = 0. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-6))\/(3\/45). Let h = 5 - a. What is the third derivative of -3*q**3 + h + 0 + q**2 wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -124*(-8 + 155\/20). Let i = n - 16. Calculate the smallest common multiple of i and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(-2))\/(4\/(-8)). Suppose 12 = d*p - 4*m, -p + 0*m - 2*m = 6. Solve p = -2*i + 9 - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*24\/18*((-16)\/4)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -105348 divided by 3?\nAnswer: -35116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 13, i: 3, b: 4}. What is prob of sequence iub?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + 0. Suppose 0 = 2*a + 3*b + 8, 2*b + 16 = -4*a + q*b. Let l be 1*1\/2*a. What is the nearest to 0 in l, -1\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 2)*(4*x - 2*x - 3*x)*(-14 - 4 - 5).\nAnswer: 46*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 914*4 + -11 + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -952 = -157*y + 775 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 - 37. Let c be (-1 - 7)\/(1\/(-6)). Suppose d = -m*d + c. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1011001010101011 (base 2) to base 4\nAnswer: -23022223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 2*g + 360 = 0. Suppose -53*c - 1260 = -123*c. Calculate the greatest common factor of g and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - ((-8 + 5 - 24) + (8 - 13))) + -6.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*j - 20 = 29, -3*j + 10 = 2*r. Suppose c - 18 = 34. What is the remainder when c is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x - 136 = -6*c + 15*x - 12*x, -c + 5*x + 16 = 0 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1577*w = -1581*w - 4*j + 4, -w + 3*j = 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.781395mg to grams.\nAnswer: 0.002781395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2040.1744 - 1.1744. Which is greater: s or -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*n**5\/19 - 158*n**4\/19 - 1060*n**3\/19 - 1908*n**2\/19 - 1238*n\/19 - 238\/19 = 0. Calculate n.\nAnswer: -17, -7, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {k: 2, b: 3, n: 1, i: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-one fifths of a decade?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 43+-18.53233\nAnswer: 24.46767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 + -19.1. Let x = -15 + 14.99. Which is the closest to x?  (a) 3  (b) 1\/2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 66, 382, 920, 1668, 2614, 3746, 5052, 6520?\n\"Answer: -2*w**3 + 123*w**2 - 39*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -506 at least as big as -506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, -10\/29, 4, 0.069, 2\/713, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -4*w**4\/5 + 36299*w**3\/5 - 82364697*w**2\/5 + 61744033*w\/5 + 20584369\/5 = 0.\nAnswer: -1\/4, 1, 4537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 3255 = -140. List the prime factors of n.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -20*p + 468. Let c be w(24). Let m(u) = -5*u - 54. Determine m(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -1079*q - 3256. Determine r(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 253 a factor of 127045263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.074547 + 31.202.\nAnswer: 31.276547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of r**6\/120 + r**5\/40 - r**4\/4 - 5*r**3\/3 + 3. Let k(t) be the third derivative of v(t). Factor k(d).\nAnswer: 3*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 58348.1136 rounded to zero dps?\nAnswer: 58348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 130*y - 145*y + 289. Solve -39*i - 44 = -y*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -23*v**2 - 33*v + 23. Let m(l) = -8*l**2 - 11*l + 8. What is 6*d(u) - 17*m(u)?\nAnswer: -2*u**2 - 11*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.21 - 3.79. Sort 5, u, 1 in descending order.\nAnswer: 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.9 in -24, -0.86, -20, 3, -1?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-90)\/21 - 4\/(-14). Let u = 5 + -1. Suppose -11*z = -7*z - u. Put z, l, 7 in increasing order.\nAnswer: l, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20355.\nAnswer: 3, 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-24)\/(-3))\/((-8)\/108*3). What are the prime factors of 9\/t + (0 - 674\/(-8))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/16990890 and -43\/30583602.\nAnswer: 152918010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are -7708 and 46 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 + 2*o**2 + 401*o. Let n(y) = -y**3 + y**2 - 3*y - 1. Give i(k) - 2*n(k).\nAnswer: k**3 + 407*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 4*g**3 - 3*g**2 - 7*g + 3. Let d be y(3). Which is bigger: 68 or d?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 10818947, 10818943, 10818939, 10818935?\n\"Answer: -4*c + 10818951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3382.\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**4 - 2*n**4 + 3*n**4 + (0*n**3 + 2*n**3 - 4*n**3)*(-1 + 3*n + 1) + (93*n**2 + 31*n**2 - 10*n**2)*(3 + 1 - 1)*(6*n**2 + 22 - 22).\nAnswer: 2044*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -2*n**2 + 10*n + 9. Give v(8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 24*b**2 - 23*b + 15. Let s be f(-23). Let h be -1 + 24\/s - 1902\/(-30). Let k = h + -39. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5980 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 90\/135*106605\/690.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 518*c - 269*c - 4*c**3 - 275*c + 45*c**3 + (-c + c - c)*(-c**2 + 5*c**2 - c**2).\nAnswer: 38*c**3 - 26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 53 = 4*p - 1, p = -3. Let i(n) = n**3 + 7*n**2 - 10*n - 14. Let l be i(j). Solve -6*r = -2*r - 5*f + 7, r + l*f = 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 284 - 284.2. Let r = 300 + -303. What is the closest to r in -2, -1\/3, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-1\/3))**(-4\/17)\/((l**(-3\/8)*l)\/(l*l*l\/((l*l**(-4))\/l)*l*l*l)) assuming l is positive.\nAnswer: l**(3697\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8572, 17173, 25764, 34339, 42892?\n\"Answer: -s**3 + s**2 + 8605*s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -0.163.\nAnswer: -0.0652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -21  (c) -2  (d) -5  (e) 2\/1375\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7029493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -351 - -351.1. Which is the fourth biggest value?  (a) 88  (b) k  (c) -1\/4  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*o**3 + 4*o**3 - 4*o**3 + 3*o + 2*o**4 + 3 + 0*o - o in the form n*o**3 + c*o**4 + s*o**2 + v*o + q and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 3) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 1165 + 6*x**2 + 7*x**2 - 8*x**2 - 1140 + 3*x. Let w be n(0). Solve w*k - 22*k = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*m + 3 = 3. Factor m - 5*p + 6 - 2*p**2 + 0 + p**2.\nAnswer: -(p - 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 196982 divided by -206.\nAnswer: -98491\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3722 + -70734\/19. Let u = -785 - -5508\/7. Calculate the common denominator of n and u.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44\/227 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 161 + 121 = 0. Let l(k) = -k**3 + 5*k**2 + k + 2. Let y be l(5). Is m >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1274*f + 214755 = -1259*f. Is f a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77*a**3 + 326*a**3 - 82*a**3 - 70*a**3 - 2 - 86*a**3.\nAnswer: 11*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9722 = -45*n - 18493. Does -1251\/2 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 1. Let h(a) = -3*a + 7. Let b(u) = h(u) - 6*i(u). Let t be b(-1). Suppose 0 = -3*q + 3*c + 84, -3*q + t*c = -0*c - 88. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**2 - 46*s - 48. What is h(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 101 = -5*b. Calculate the remainder when 2\/3 - 115\/(-3) is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-4))\/((-93)\/124*4)*12\/46.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 AM and 6:54 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 64436, 64468, 64528, 64616?\nAnswer: 64732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 427, 279, 33, -311?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 17.34 and -90?\nAnswer: 107.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -121 + -201003011?\nAnswer: -201003132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6900.1 + -6900. What is the nearest to -1 in 11, -1.8, -3, c?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4835697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 82438.7, -4 in descending order.\nAnswer: 82438.7, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 33580.19 tonnes?\nAnswer: 33580190000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*f**3 + 81709*f**2 - 81709*f**2.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -4*t**2 + 11*t - 5. Let d(s) = -5*s**2 + 12*s - 5. Let l(q) = 5*d(q) - 6*g(q). Let r(z) be the first derivative of l(z). What is r(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*i**3 - 37377924*i**2 - 9702184617745*i - 19404219724082 = 0.\nAnswer: -3114821\/6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/17 in 1\/36, -1\/28, -75, 5, 3?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 44602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1945.3 plus -9?\nAnswer: -1954.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/5  (b) 4  (c) -0.1  (d) 0  (e) 48  (f) 3\/403\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3392237 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -18*y**5\/13 - 60*y**4\/13 + 184*y**3\/13 + 564*y**2\/13 - 70*y\/13 - 600\/13 = 0.\nAnswer: -4, -5\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 855 and 848 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -117164 take away 0.93?\nAnswer: -117164.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 612*a**3 - 14*a**2 + 36*a - 10. Let w be d(2). What is the highest common factor of w and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 2*r**3 - 924598*r**2 + 924596*r = 0?\nAnswer: 0, 1, 462298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 - h**2 + 10*h - 3. Let s(t) = 1. Calculate -p(b) + 2*s(b).\nAnswer: b**3 + b**2 - 10*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of 0 - 6*l**2 - 7\/12*l**4 + 2\/3*l**3 + 0*l. What is the tens digit of b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 PM and 8:01 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 less than -1175261795.3?\nAnswer: -1175261793.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -112473 at most -112901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-210)*22 - 106\/(-371)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -52, -8, 321899, 1 in decreasing order.\nAnswer: 321899, 1, -8, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(2\/5)*o)\/o**(-1\/36) assuming o is positive.\nAnswer: o**(437\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -197.511 - 0.489. Let y = -197.3 - q. Is 0 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010 - -11000011000111111011001?\nAnswer: 11000011000111111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - ((-25)\/(-5))\/(-5). Suppose -108 = z - 2*s - y, -5*z + 3*s = 511. Let f = 182 + z. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 0 - 9*j + 2*j**2 - 2 + 9. Let k be l(11). Suppose -4*h - 5*n = -k, -4*h - 2*n + 182 = 38. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -5. Let n(p) = p**2. Let y be n(0). Let d = y + -3. Put d, 0, l in ascending order.\nAnswer: d, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(-10))\/((40\/75)\/8). Suppose 0*y - 96 = -w*y. Let d = -47 + 92. Calculate the remainder when d is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*n**2 + 0*n**2 + 0*n**2 - 5*n**2 - 10*n**2 - n**2.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 3796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12615)\/(-3) + 0 + 3. Let d be 2\/(-10) - u\/(-40). Suppose 5*p = -3*m + 58, -2*m + 47 = -4*p + 1. What is the greatest common factor of m and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 499.\nAnswer: -99.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 1 - 4)*(-21 + 4 - 22)*(-5 + 4 + 3)*((0 + 0 + 3)*(-1 + 1 - 3*y) + (4*y + y - 3*y)*(-1 + 2 + 0)) to the form w*y + z and give w.\nAnswer: -6006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 283345123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9570000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 38886.9209 rounded to the nearest ten?\nAnswer: 38890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2692260 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 + 5)*((0 + 4 - 2)*(6 - 4 - 1) + 3 + 0 - 4)*(-s + 0*s + 3*s).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.7499 - 1.7514986. What is i rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4)\/(-6))\/((-1)\/(-3)))\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, d: 6}. Give prob of sequence dgdd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 8, c: 5}. Give prob of picking 1 h and 2 c.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 4*g**2 + 4*g + 2. Let m be s(5). Let z = m - -7. Factor -2*a**2 + z*a**2 - a - 3*a**2.\nAnswer: -a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 7 = -2*u, 0*u - 35 = -5*u - 3*i. Suppose 4*j = -4*k + 3*j - 17, -k + u*j = 0. Let a(l) = 8*l - 4. Let w(s) = -s + 1. Give k*w(r) - a(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 424 + -419. What is the smallest common multiple of 220 and k?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2622510 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/3*(-121509)\/(-702052)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -98373108 divided by -5177532.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000028867 to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(245) + 1*sqrt(245))**2 + sqrt(245).\nAnswer: 7*sqrt(5) + 1960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4690824 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-52 + 12 - 2)*(k - 3*k + k).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 16) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hmh when three letters picked without replacement from hhsmbhimhh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**21)**(2\/15))**(-21\/4) assuming o is positive.\nAnswer: o**(-147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3*w**2 - 1223*w + 2. Let g(f) = 7*f**2 - 2448*f + 4. Give 9*d(z) - 4*g(z).\nAnswer: -z**2 - 1215*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 5 - 11, 2*a + 87137 = 3*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 1131*t**3 - 3382*t**3 + 3984*t**3 + 2*t + 7704*t**3.\nAnswer: 9437*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46*v**2 + 80*v**2 + 5 - 40*v**2 + 3 wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 13) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/12 and -11\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16122\/29 + -556. Let o = -33\/58 - x. Which is the closest to 2\/5?  (a) o  (b) -0.4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1439*s = 1428*s - 77. Which is bigger: s or -178\/21?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2247, 8947, 20105, 35715, 55771?\n\"Answer: -x**3 + 2235*x**2 + 2*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**2 - 4*w + 14. Let b(x) = -2*x**2 - 6*x + 16. What is -2*b(a) + 3*n(a)?\nAnswer: -2*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 2*c + (1 + 0 + 1)*(3*c + 3*c - c) - c + 4*c + 0*c + (3 + 1 + 0)*(-4*c + c - c) + 3*c - 5*c + c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 635 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 + 5*v**2 + 2*v + 20. Let q be l(9). Let j = -6026\/21 - q. What is the common denominator of j and 68\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2061948469 to the nearest integer?\nAnswer: 45409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -4, 0.091 in decreasing order.\nAnswer: 5, 0.091, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 1\/3, -2\/5 in ascending order.\nAnswer: -2\/5, 1\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 124347\nAnswer: -5\/124347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/10)\/(8\/40). Let m(r) = r**3 - 7*r**2 + 5*r - 5. Let n be m(t). Let y = -126 - -2144\/17. Put n, 0.3, y in descending order.\nAnswer: 0.3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140300846 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 291122242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 276166 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: What is the square root of 157396824 to the nearest integer?\nAnswer: 12546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 0*r**2 - r**2 - 124 + 124. Let b(j) = -2*j**2. Determine b(z(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -208, 283, 1092, 2213, 3640?\n\"Answer: -t**3 + 165*t**2 + 3*t - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 65, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 324397751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-76 - -33 - -19) + 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3 - 288*p**2 - 1642*p + 1932.\nAnswer: -2*(p - 1)*(p + 7)*(p + 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*g, 771*g - 775*g = -3*t + 1. What is the closest to -41 in -2, 2\/9, t, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 930019 is divided by 1550?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3a850c (base 16) to base 2.\nAnswer: 1110101000010100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of 0 + 0*p**6 - 15*p**2 + 0*p**5 + 0*p**3 - 1\/24*p**8 + 0*p**7 + 0*p + 3\/8*p**4. Find the second derivative of x(q) wrt q.\nAnswer: -280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3889 divided by -1327.\nAnswer: -3889\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 29 in 0.3, -637, 26\/11, -4, -3?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 275.9 - 276. Let l = -1.4 + -0.6. Which is the nearest to t?  (a) -4  (b) l  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 < 29\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 8588 divided by -113\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-4*(sqrt(2057) - (sqrt(2057) + -1)*-5)*-5 - (1*sqrt(2057) + -2 - (-2 + sqrt(2057)*-3))))**2.\nAnswer: -1020800*sqrt(17) + 110755968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20249 - 20241. Calculate the remainder when 2311 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 3*d - 10 = -2*d, d = 0. Suppose 13 - 3 = i*f. What is the third biggest value in 2, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**3 - 8185*f**2 - 8200*f + 16380.\nAnswer: 5*(f - 1638)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4819*z + z**3 - 4819*z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*z**2 + 10*z**2 + 21*z**2 - 15 + 17*z**2.\nAnswer: 38*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 200205 is divided by 40029?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.15 - -0.35. Let y = 1 + -1. Let t be -1 + 1*(-1 - -7). Which is the closest to y?  (a) -4\/3  (b) r  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39 and 897.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -27*i. Let x(y) = 1022*y + 462. Let q(t) = 20*t + 9. Let l(a) = -154*q(a) + 3*x(a). Determine 9*l(m) - 5*z(m).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 91 + -114. Let c be (-42)\/(-10) + g\/115. Solve -4*i = 3*k - 7*i + 12, c*k - 3*i = -17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + 9 + (13 - 45) + 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, u: 1, l: 2}. Give prob of sequence lur.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((47 - 1 - 19)*(2 - 5 + 2) - 4 + 1 + 2)*(0*k**3 + 3*k**3 - 6*k**3).\nAnswer: 84*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.027 and -152?\nAnswer: 152.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 - 11*g**2 + 18*g + 5. Let x be y(9). Suppose -13*l + 15*l + 4*t = 2008, 5*l + x*t - 5030 = 0. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-3))\/((-143)\/(-132) + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 1317 = -314. Suppose 5*i - 377 = d. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/(-2))\/(6\/126))\/((-34)\/68).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 41351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mcc when three letters picked without replacement from {c: 16, m: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o - 3*o - 5*j - 4, -4*j = 20. Suppose -s - o = -0*s. Let b = 13 + s. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 6*c - c = 1, 4 = -5*t - c. Let g = -17754\/581 + 70\/83. Let j = g - -30. Is t at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 172 and 24?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -442 + 442. Let g(w) be the first derivative of -5\/6*w**6 + 4 + 0*w**2 - 8\/3*w**3 + h*w**4 + 0*w**5 + 0*w. Find the third derivative of g(r) wrt r.\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/((-10)\/10*1\/(-8)). Let b = i - 29. Solve -4*m + b*m - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 9*d**3 - 4*d**2 + d + 4*d**2 + 2*d**2 + 15*d**3. What is h(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/(686\/(-56)))\/(20\/(-14)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3*u - 33 = -81, -3*t = 5*u - 7. What is the remainder when 313 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, -24040, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -93 in -2\/3, -0.1, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169*o - 10654*o**3 - 707*o**3 + 169*o.\nAnswer: -11361*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -a - 15. Suppose -7*k = -a*k - 28. What is the lowest common multiple of k and (-1)\/(8\/16 + 3\/(-4))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103 = 9*d - 122. Suppose 5*c = w - 0*c - 20, -w = -4*c - 19. Solve -3*p = -p + 3*j + d, w = -3*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*w - 3*o, 8 = -0*w - 4*w - 4*o. Let x be 54\/13 - w\/(-13). Calculate the remainder when 58 is divided by 5\/x*24\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + 5*f - 73*f + 4*f - 3*f + 0*f + 69*f.\nAnswer: 2*f - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 483\/(-42) + (-49)\/(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 192\/40 + (-2)\/(-10). Which is the second biggest value?  (a) 1\/10  (b) r  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -311*w + 43682. Let y(v) = -4*v - 7. What is the remainder when r(140) is divided by y(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 570192 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 6*k**2 - 2*k - 9. Let g be h(-6). Let a = 3 - g. Suppose 0*d - 3*d + 36 = a. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 4*d**5 - 8*d**4 + 4*d**3 + 12*d**2 - 10*d - 2. Let k(a) = -a**5 - a**4 + a**3 - a**2 + a + 1. Let x(p) = 2*k(p) + s(p). Factor x(f).\nAnswer: 2*f*(f - 4)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.59615 plus -51.1942?\nAnswer: -50.59805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, -7, -11 in decreasing order.\nAnswer: 2, -2, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/2741814 and -93\/2132522?\nAnswer: 19192698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 735409514 to the power of 1\/2, to the nearest integer?\nAnswer: 27118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2613297 is divided by 155.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -0*o + 3*u - 18, 0 = -3*u + 12. Let c(q) = 3*q**2 - 4*q + 3. Let a be c(o). Suppose a + 15 = 2*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 18*n**2 - 18*n - 23. What is the tens digit of t(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -1\/8, 2\/7, -1\/5, -0.0233, 4\/13, 1\/24?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 0*o = -o - 4, -4*b - 3*o - 12 = 0. Suppose 4*r + 232 - 1224 = b. Calculate the highest common divisor of r and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2556704601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 692 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -582*m + 5178. Calculate c(9).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 - 1100?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3)*(72 - 707*f + 355*f + 355*f).\nAnswer: -3*f - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20112221 + 1022?\nAnswer: 20121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1373907172 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002502874174 rounded to seven dps?\nAnswer: 0.0025029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 z when four letters picked without replacement from zczbrcbzghzbbbgcbg.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.9866 + -0.0134. Which is the closest to o?  (a) -0.4  (b) -1  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 58 - 62. Let y = i + 106. Let s = -90 + y. Calculate the highest common divisor of s and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1839017, -1839020, -1839023?\n\"Answer: -3*l - 1839014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 + 6*v - 2. Determine x(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 3 = 4*o. What is the units digit of 21\/(-7)*8\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2253194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3420357 divided by -3?\nAnswer: -1140119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(272) - sqrt(17))**2*-6.\nAnswer: -1014 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 100001011011010 (base 2) in base 16?\nAnswer: 42da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 176013382 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*(-378)\/(-504)*(-1664)\/(-39)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 4:11 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 3:43 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 29635313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((238\/112)\/17*0)\/(-4)*(-1)\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 x, and 1 b when three letters picked without replacement from {y: 2, k: 2, b: 1, c: 8, x: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 199200870 divided by -5094?\nAnswer: -39105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2294.49 to the nearest ten.\nAnswer: -2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 916840013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 27898301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-3) - (-9)\/(-27). Let m(b) = -195*b - 8. Is m(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14*c**3*s*x*y - 3*c**3*s*x - 69*c**3*s + 4047*c**2*s*x - 29390*x*y wrt y?\nAnswer: 14*c**3*s*x - 29390*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31124 or 31125?\nAnswer: 31124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 48*t**3 - 34*t - 60. Let n(u) = -15*u**3 + 11*u + 20. Determine -13*n(q) - 4*y(q).\nAnswer: 3*q**3 - 7*q - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -27*x**4\/5 - 18*x**3 - 12*x**2\/5 + 42*x\/5 - 9\/5 = 0.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {i: 3, u: 4, q: 4, f: 7}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4\/3, -1\/844, 2.\nAnswer: -4\/3, -1\/844, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 115403 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {v: 2, n: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -157, -299, -441, -583?\n\"Answer: -142*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*f + 5*j - 3, -2917*f + 2915*f + 2 = -3*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 5*z + 45 = 0, -5*t = z + 2*z + 37 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 2 = -0*w. Let b(r) = -3*r - 4*r + w*r. Let n(h) = h. Give b(n(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*u**3 - 30*u**4 + 2*u + 2*u + 28*u**4 to the form j*u**3 + g + n*u**2 + s*u**4 + k*u and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 176 and 264.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33291 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7 + 12 - 2*p**2 + 13 - 8*p**2 with respect to p.\nAnswer: -20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 260739804 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -12*w**3 + 18*w**2 - 6*w. Let o(v) = -11*v**3 + 17*v**2 - 5*v. Let p(g) = 6*o(g) - 5*q(g). What is the third derivative of p(y) wrt y?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 63*n**3 - 39369*n**2 - 3750*n.\nAnswer: 3*n*(n - 625)*(21*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -172 + 171.6. What is the nearest to -0.3 in 2, d, -5\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10001110111011101011 (base 2) to base 12\nAnswer: 242977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 4 = -3*c, -24 = 5*c - 14. Sort v, 8, -3, 4.\nAnswer: v, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -3 + 3 - 8*t - 9*t - 26 + 14*t**2. Let j be l(-5). Suppose -13*n = -2229 + j. What is the highest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4753 is divided by 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4705 is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4486062?\nAnswer: 2, 3, 7, 17, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2824 + -1537. Is c a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 12:19 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 4014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/6*3\/(-3). Let q = -115 - -127. Suppose q*m = 13*m + 3. What is the nearest to g in 5, m, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.676 - -1.224. Which is the closest to -1?  (a) 2  (b) 1\/8  (c) 4  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.7201 - 0.2799. Let j = 0.14 - 3.14. Let z be (2\/6)\/(0 - 1). Which is the nearest to z?  (a) q  (b) j  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 632 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**3\/17 - 284*z**2\/17 - 838*z\/17 - 556\/17 = 0. Calculate z.\nAnswer: -139, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 6:16 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9, -6, -21, -36, -51, -66?\n\"Answer: -15*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 659\/12 - 219\/4. Let w = 6 - 6.2. Let d = 0.2 - -0.3. What is the biggest value in w, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (92\/(-69))\/((-32)\/(-840))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, 1, 311, -2\/5, 2\/15.\nAnswer: -2\/5, 2\/15, 1, 39, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -68.99 and 7.27.\nAnswer: -501.5573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 + 7*n + 6. Let q be o(-6). Let g = -45744 - -45747. Solve -g*m + 31 - 28 = q for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -26, -2, 5 in descending order.\nAnswer: 5, 1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 8. Suppose 3 = d - o*c, 2*c = 2*d - 6 - 2. Solve -5*t - 1 = 4*m, 2*t + d = 5*t + m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-9)*(-27)\/(-3). Let t = f + 15. Factor -2*p**4 + p - 2*p**3 - 10*p + t*p + 4*p**2.\nAnswer: -2*p**2*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/37418 and -3\/53?\nAnswer: 37418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + n = z, -3*z = -3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/5 - (5852\/(-55))\/14. Let c(y) = 4 - 10 + 42854*y + 28. Let w be c(b). Round w to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2050 (base 7) in base 3?\nAnswer: -222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.215 - -31.215. Which is the nearest to 1\/4?  (a) -4\/7  (b) v  (c) 0  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 0 - 3 = 0. Let q = 1563\/935 - 3\/85. Is q at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(847) - (3*sqrt(847)*-3 - sqrt(847)))*6 + -4)*-5)**2 + -1.\nAnswer: -726000*sqrt(7) + 2305957899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (17\/306)\/((-4)\/(12\/1))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of -o**6\/360 + 41*o**4\/12 + 26*o. Let z(p) be the third derivative of k(p). Let y(s) = -4*s - 1. What is y(z(u))?\nAnswer: 8*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = -q + 9, -s - 3*q = 3*s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 10 = -13*o. Let k be (-36)\/567 - o\/7. Factor 2\/3*g**3 - 8\/9*g + 0*g**2 + 0 - k*g**4.\nAnswer: -2*g*(g - 2)**2*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1043 - -1047. Let d(r) be the first derivative of 0*r**3 + 0*r - r**2 + 3\/5*r**5 + 4 + 0*r**h. What is the second derivative of d(o) wrt o?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16189.97611 + 16190. Round z to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of a**7\/2520 + a**5\/12 + a**4\/24 - 4*a**2. Let v(t) be the second derivative of w(t). Determine v(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, k: 3, w: 1, v: 1, x: 2, j: 3}. Give prob of sequence jkl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 - -30. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -h**8\/6720 + h**7\/504 - h**6\/720 + 7*h**5\/120 + h**4\/6 + h. Let n(l) be the third derivative of q(l). Determine n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 0.1  (b) -5  (c) 0.06  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 2*h - 1 = 3*o, 3*h - 11 = 5*o. Solve 0 = u - 4*w + 3, h*u + 0 - 5 = -3*w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -3*s**2 - 39*s + 2. Let f be d(-13). Let q be ((-3)\/(-9))\/(2\/(-6)). Put 3, q, f in descending order.\nAnswer: 3, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -404 >= -3626\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 30351.9 and 3.\nAnswer: 91055.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-42)\/(-8) - ((-9)\/(-4))\/9. Suppose 2*f - 5*j = -2*j + 73, 2*j = v*f - 166. Let i = f + -25. Solve 0 = -2*t + 4*a - 12, 2*t - i*t = 5*a - 30 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-25)*(-2 + (-6)\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -1312*h + 3696. What are the prime factors of f(-10)?\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -693 less than or equal to -692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39.7 - -40. Which is bigger: b or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pprrefea. Give prob of picking 1 r and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-12)\/r)\/r*r*r*r*r\/(r\/(r\/((r*r*r**(-13)*r)\/r)))*(r**7)**(-28) assuming r is positive.\nAnswer: r**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - 16951?\nAnswer: -16952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*l + 284 + 55 = 0. Solve 6*u - u - 25 = -4*o, -13 = -l*u - 2*o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (16 - 2)) + -707 + 772?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95*n - 22 = 99*n + w, -10 = 2*n + w. Let l(o) = -o**2 - 5*o - 1. Calculate l(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 7*t + 2*t**3 - 4*t**3 - 12 - 15*t**2 + 21*t. Let l be h(-16). Suppose -22*j = -l*j - 398. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/29)\/b)\/b)**8\/(b**(-23)*b**(-29)) assuming b is positive.\nAnswer: b**(1060\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2906 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1700 or 1699?\nAnswer: 1700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8548171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 22066853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 - -27. Suppose 6 = -5*o - 2*h + g, -3*o - h + 9 = 0. Differentiate -7 - 9 - 4 - 27*i**o + 23 with respect to i.\nAnswer: -81*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 9*g**3 + 5*g**2 - 7*g + 3. Let w(b) = 8*b**3 + 4*b**2 - 8*b + 4. Let r(n) = 4*j(n) - 5*w(n). Let r(k) = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4791726153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -26 - -17. Let q = 20 + a. Let u = -3 + q. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 - 2)*(2 - 2 - 2*t**4) + (3 + t**3 - 4 + 7*t - 6*t)*(5*t + 1 - 1) as m*t**4 + g + l*t**2 + w*t**3 + u*t and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 33780013895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*v - 8*v - 85*v**2 - 8*v + 136*v**2 - 23*v**2 - 34*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 3*w = 17 - 128, -i + 2*w + 34 = 0. Let k be i\/9 - (-6)\/(-9). Suppose -2*n + 38 = -6*o + k*o, -n + 17 = -o. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -5*b + 2*i, -4*b + 5*b = i - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooojojejre. Give prob of picking 2 j and 1 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 9.8. Sort j, -3, -1, -2.\nAnswer: -3, -2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1064705585 to three decimal places.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2244239572 rounded to five dps?\nAnswer: -0.22442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 61448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -104*y - 7043 - 549 for y.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 7*j**2 - 12*j - 13. What are the prime factors of v(-7)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 249659024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of f**3\/6 - 2*f - 135. Let q(n) = -73*n. Determine q(g(t)).\nAnswer: -73*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -143 + 188. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 220 and 704?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 541575 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - 17*i**2 + 15*i + 27. Calculate o(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - s - 120 = 0. Suppose -8 = -5*v + 57. Let p = s - v. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 AM and 4:26 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-44 + 43\/2)\/(-9)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8 + 0 - (1 - -1). Let t be d\/9 + (-2)\/3. Let i be 8\/(-22)*(-154)\/28. Solve i*g + 2*g + 16 = t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14129778 to the nearest integer?\nAnswer: 3759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 19, -4, 0, -5 in descending order.\nAnswer: 19, 0, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b*b\/(b\/(b\/(b**(-8\/9)*b)))*b*b**(24\/5)*b assuming b is positive.\nAnswer: b**(436\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 4*m**2 - 4. Let d(u) = -4*u**2 + 3. Determine -4*d(p) - 3*o(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.4  (b) 1  (c) -3837  (d) 2\/5  (e) -3  (f) -1\/11  (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 241\/4  (b) -185  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**6)\/(y\/y**2*y))\/((y\/((y\/(y*y**7)*y)\/y))\/y**(-2\/5)))**39 assuming y is positive.\nAnswer: y**(-273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 566*h. Let m(x) be the third derivative of -19*x**5\/60 + 2076*x**2 + 3*x. Calculate m(b(s)).\nAnswer: -6086764*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 18 + 14 = 0. Let x = 28 + -14. Let j be t\/x + 8\/28. Let f(q) = q + 8. Calculate f(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 3*s - 42, s - 63 = -4*s + f. Let v(i) = i**3 + 2*i**2 - i. Let t be v(1). Solve t*r + 9*y - 4*y = 6, s = -3*r + 3*y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -1011*x - 3028. Give h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from elljenlllllaleae. Give prob of sequence nl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5835273337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 346 = 446. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100, -537, -1698, -3937, -7608?\nAnswer: -13065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31728.7 + 30318. Let t = 1485 + r. Round t to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 529*z + 15. Let u be o(-7). Is 21\/3 - u - (0 - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w*w\/w**(3\/5)*w**4 assuming w is positive.\nAnswer: w**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m**3 + 428*m**2 + 1336*m - 1760 = 0 for m.\nAnswer: -4, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 43?  (a) 0.2  (b) -36  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-7))\/(5*(-14)\/245).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11602260 is divided by 2195?\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(240))\/(sqrt(48)\/sqrt(4)*-2).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(sqrt(35)\/sqrt(7)) + sqrt(117)\/(sqrt(27)\/sqrt(3)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 + 4*l**2 + l - 2. Let x be u(4). Suppose 27 = x*v - 3*p + 4*p, -p = v - 13. What is the remainder when 26 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-nine fifths of a millennium?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35877359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 49, 91, 129, 163, 193?\n\"Answer: -2*s**2 + 48*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29243 is divided by 56?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 5*v**2 - 60*v - 140 = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p + 4*p - 3*p + 3*p - 2*p - 3*p + 0*p + 2*p - p + (4 - 2 - 1)*(p + 2*p - 4*p) - 1 + 1 - 2*p + (-1 - 6 + 4)*(-7*p - p - p).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -5228, -4953, -4678, -4403, -4128?\n\"Answer: 275*l - 5503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 13*t. Let g(k) = -k. Give g(c(i)).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 228, -60, 0.4 in decreasing order.\nAnswer: 228, 0.4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6293)\/(-1798)*(-24)\/(-3990).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1.7. What is the second smallest value in -5, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -3*v + 12. Let d be b(6). Does 10 divide 63\/d*(-5 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5586138 decades to centuries.\nAnswer: 0.05586138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 - -74b?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-100 + 77 - (-25 + 4)) + 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 190 - 133. Let s = 95 - d. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3\/3 - 1175*r**2\/3 + 23200*r\/3 - 38500.\nAnswer: (r - 1155)*(r - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 24019120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (18*w + 23*w - 61*w + 1)*(-w + 4*w - 5*w) to the form n*w + g*w**2 + t and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 27686 and 27667 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 - (3 + 2 + 11 + -18 + 1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5450632, 5450620, 5450606, 5450590?\nAnswer: 5450572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = -219977*f + 219973*f + 44, -77 = -12*f + n for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48255158.\nAnswer: 2, 7, 31, 111187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.13  (b) -0.194  (c) 0.0564\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 - 6*r**2 - 1. Let k be j(6). Suppose -2 = -3*x + 19. List the prime factors of -3 + x - 4 - 20\/k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -115 - -349. Does 34 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 417 a factor of 18773362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 35\/(1 - 2)*48\/(-40) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 19, 36, 73, 136, 231?\n\"Answer: h**3 + 4*h**2 - 2*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/5 of a meter in centimeters?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {x: 5, i: 1, w: 10, t: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7503364*m**4 - 10169852*m**2.\nAnswer: 180080736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 134 (base 5) in base 15?\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -96, -1.3, 3, 3\/2, -0.2, -0.1?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -4*x**2 - 3*x + 3. Let d(p) be the first derivative of -4*p**3 - 9*p**2\/2 + 8*p - 6555. Calculate -3*d(m) + 8*u(m).\nAnswer: 4*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -4. Suppose -g - 3*g + 20 = p. Suppose 6*r - 5*r - 3*d + 19 = 0, 3*r - g*d + 37 = 0. Which is the nearest to 0?  (a) r  (b) 2\/7  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 3*b**3 + 141*b**2 - 141*b**2 to w*b**3 + c*b + d + m*b**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 9062 = 162*u, -5*u + 3623 = -5*k + 3318 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 5*q - 5. Suppose 2*u = 4*g - 2*g + 24, q*g + 3*u = -60. Let j = g + 24. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 49 and 34811.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-2)*(-1 - (-9)\/27).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 8 = 0, -3*p - p + 482 = -5*z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51627 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81 - 1404*o + 699*o + 154 + 708*o + 107.\nAnswer: 3*o + 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.3 + -4.3. Let j = 0.141 - 0.241. Put -5, j, -1\/4, y in decreasing order.\nAnswer: j, -1\/4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 828.4348 decades?\nAnswer: 99412.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of 6 + 0*i - 2*i - i + i**2. Give u(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v + 9. Let c(g) = -3*g + 18. Let i(t) = -c(t) + 2*p(t). Let h(x) = -17*x. Determine -h(r) + 2*i(r).\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129566?\nAnswer: 2, 64783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -8.6. Let w be (-24)\/(-18) + (-1)\/3. Let u be 1 - w - (-4)\/(-3). What is the biggest value in b, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-322)\/4 + 13\/26. Let g = -41 - m. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, -24, -18, 0, 36, 96, 186, 312?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w**3 - 2*w**2 + w + 22. Let q(g) = 2*g**3 - 3*g**2 + 22. Let t(y) = 5*q(y) - 6*s(y). Is t(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.13327799 to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2568, -3311, -4066, -4839, -5636?\nAnswer: -6463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 63252.7693 to the nearest 10.\nAnswer: 63250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 756 + -679. Calculate the least common multiple of 21 and j.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 - ((6 - (6 + -2)) + 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -14022, -52819, -116392, -204741, -317866, -455767, -618444?\n\"Answer: -12388*j**2 - 1633*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 131 + -80. Let z = 148 - x. List the prime factors of z.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -27665, -55335, -83005, -110675?\n\"Answer: -27670*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 20 - (-1)\/(3\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(1 + sqrt(75)).\nAnswer: 2 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -25 + -9 + 20 + -6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/204 and -155\/102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3.2 in -9, -0.2, 11, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b4b0 - -3?\nAnswer: b4b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/(-4))\/((-14)\/(-4)). Let d = -2252\/13 + 11299\/65. What is the closest to 0.1 in f, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(6050))\/(sqrt(10) + sqrt(10) + sqrt(30)\/sqrt(48)) + (sqrt(320) + 0)**2*6*-1 + 1)*-2.\nAnswer: -176*sqrt(5)\/9 + 3838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*p + 3*o + 60 = -30*p, 0 = -o - 13 - 7 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from {f: 1, b: 1, r: 1, p: 1, w: 1, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -118 divided by 2\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a day in hours?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 141264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10153.\nAnswer: 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -172, -104\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19140 and 3980?\nAnswer: 3808860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -34.82 in 4, 0.3, 32?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 90303245119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-107730)\/4655)\/(63\/49).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o. Let f(k) = -8904*k**2 + 3*k - 15. Determine f(a(y)).\nAnswer: -35616*y**2 + 6*y - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d - 2*d = 16*d - 180 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 3*z + 5*r, -5*r + 4 = -z. Suppose 8*d = -8*d - 48. Suppose -2 = 4*f + 5*j, 4*f - 4*j = j + 18. Sort f, d, z in decreasing order.\nAnswer: f, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 + -55\/4. Let r = 2.4 - 2. Which is the closest to 0.1?  (a) r  (b) 1\/3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -576115, -576113, -576113, -576115, -576119, -576125?\nAnswer: -576133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 j when three letters picked without replacement from dndnndnddjdjmjddnddm.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -6*v**2 - 5*v - 2. Let x be 3\/(-6) + 14\/(-4). Let u be y(x). Let q = 121 + u. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -i**3*o - 4*i**3 + 79*i**2*o + i**2 - 5*i*o - 3019*i wrt i.\nAnswer: -6*i*o - 24*i + 158*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3*v**2 + 6*v - 2. Let b(x) = -9976*x**3 + 59856*x**2 - 119712*x + 39904. Calculate b(d) + 19952*s(d).\nAnswer: -9976*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 780 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zcc when three letters picked without replacement from zzzzczzzczzzzzzzzz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27671484.\nAnswer: 2, 3, 23, 107, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 5 = -4*d, -3*d + 35 = -2*k + 2*d. Let m = 10 + k. What is the second derivative of -5 + 5 + 3*t**m + 7*t**5 + 10*t wrt t?\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*f - 3*f + 3*f + (-4*f + 4*f - f)*(0 - 2 + 0) - 28*f + 14 - 5 - 6 as s*f + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 258 a factor of 432200676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 + -14.9347.\nAnswer: -15.1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/81*9*0\/(-1). Suppose -3*v - 3*k - 15 = -t*k, -3 = -5*v + 2*k. Let s(i) = -7*i**2 - 6*i. Let g(h) = -h**2 - h. Give v*s(x) + 6*g(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (1650\/(-195))\/22*(-13)\/6\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59961, 59968, 59987, 60024, 60085, 60176, 60303?\nAnswer: 60472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 39*a**3 + 8*a - 21. Let r(z) = -13*z**3 - 3*z + 7. Suppose 11*u - 16*u + 15 = 0. Let d(q) = u*w(q) + 8*r(q). Differentiate d(m) wrt m.\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*w = 12*w + 32. Factor 18\/7*m**w + 2\/7*m**3 + 30\/7*m - 50\/7.\nAnswer: 2*(m - 1)*(m + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 423*j + 14786 = 425*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.5 - 5. Let p = -4 + 4.8. Let n = g + p. What is the nearest to 0.1 in n, -5, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 1 + 0)*(2 - 1 + 0) + (-2 - 4 + 4)*(240 + 122 + 11))*(-q - 2*q + q).\nAnswer: 1496*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 6) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.11 + -1.11. What is the third smallest value in r, 2\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 10*l - 2*i - 22870, 4*l + i = 22855. What are the prime factors of l?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 448 + -315. Let q(j) = -20*j**3 + 29*j + 28. Let r be q(-1). What is the greatest common factor of f and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -3*m**2 - m. Let s(j) = -430*j**2 - 215*j. What is -215*d(p) + s(p)?\nAnswer: 215*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -42 - -41.7. Let y = -2.41 + 4.1. Let i = y + 0.31. Which is the third biggest value?  (a) i  (b) 8  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -200, 4\/7, -288, -2\/5.\nAnswer: -288, -200, -2\/5, 0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of 3 - 3\/4*k**4 + k + 1\/2*k**2 - 1\/3*k**3. What is the units digit of g(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26377 is divided by 13186.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 4*x - 5*k - 1, -5*x - 29 = -2*k. Let r(j) = j + 3. Let m be r(0). Let v(u) = -4*u - 5 - u**2 + 0*u**2 - m*u. What is v(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/1008600 and -191\/5547300.\nAnswer: 11094600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of y**6\/72 - y**5\/30 + y**3\/6 - y. Let o(z) be the second derivative of a(z). What is the second derivative of o(t) wrt t?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*v + 197238 = 81*v - 5*p, -4*p - 197236 = -4*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -492c10 - -5?\nAnswer: -492c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8 or -123\/14?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.03 and -4526.\nAnswer: 135.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -98*q - 412*q**5 + 128*q**4 + 209*q**5 + 202*q**5 wrt q.\nAnswer: -20*q**3 + 1536*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 4*n + 5 - 21 = 0, 4*i + 4 = 4*n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 131 (base 5) to base 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3109 - 2839. Calculate the remainder when m is divided by 58.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276 is divided by 138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 9*k**2 - 5*k + 46. Is x(6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 8*s - 3. Let g(k) = -6 - 1 + 0*k + 0*k + 17*k. Calculate -6*g(x) + 13*l(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 AM and 5:56 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 603633807?\nAnswer: 3, 7, 17, 197, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -763 - -824. Solve -6 = -59*q + d*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 544307 + 457604. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bdeedzddbbbdbedbee. What is prob of picking 2 b, 1 e, and 1 z?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-3 + sqrt(11) + 1 + sqrt(11)) + (sqrt(176) - (sqrt(176) + -1 - sqrt(176)))**2*1 + 4.\nAnswer: -4*sqrt(11) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -476 = 6*o - 80. Let v = -65 - o. Is 89\/(-1)*v*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**10*o)\/(o*o\/o**(4\/3)) assuming o is positive.\nAnswer: o**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3398 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnbbnggzoonnnggno. What is prob of picking 1 o, 1 z, and 1 n?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 22\/12 - 2\/(-12). Suppose r*h - 41 = 3*j, 4*j + 0*j + 13 = h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 - 14*x**2 + 27*x - 14. Let h be s(13). What is the highest common factor of 154 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/9))**27 assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20 - 17. Suppose -4*i + z - 6*z - 12 = 0, -5*i - 5*z = 10. Solve -3*l = i*l + 5*j - 50, -c*l - 4*j + 35 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1807594.\nAnswer: 2, 739, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19)\/(-38)*0\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m**2 + 3*m - 15. Let y(v) = -v - 1. Let h(s) = -w(s) + 4*y(s). Let g(c) = -c**2 - 4*c + 6. Calculate -7*g(f) + 4*h(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1540613 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/10)\/((-4)\/(-10)). Suppose 0 = -13*z + 31*z - 36. Let q(d) = 3*d - v*d**2 - 2*d**3 - z*d + 0*d - 2*d. Determine q(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 1:35 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24\/7*y**3 + 36\/7*y**2 - 42 + 2\/7*y**4 + 40*y.\nAnswer: 2*(y - 7)**2*(y - 1)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 17582, 17580, 17578?\n\"Answer: -2*s + 17584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -21*d**3 - d**2. Let u be q(-1). Suppose 5 = -c, l - u = 5*c + 6. Suppose -k - l + 23 = 0. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 96 - 86. Suppose 4*g + w = 2*k, g - 3*g - 2 = -2*k. Let l(d) = d + 5. What is l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 3*m + 8. Let n(k) = -k + 2. Let x be n(m). Calculate the smallest common multiple of (x\/(-6))\/(2\/21) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 148, 152, 156?\n\"Answer: 4*f + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*w - 120 - 146 = 0. What is the closest to 1 in 3, -3, w, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -241*t + 246*t - 350. What is the smallest common multiple of t and 98?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n - 2066*n**2 - 2059*n**2 + 4127*n**2.\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2610 and 2612760?\nAnswer: 227310120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(2) + -1) + sqrt(2) + sqrt(350)\/sqrt(7) + 1)**2 - ((3*sqrt(140) - sqrt(140))\/sqrt(10))\/(sqrt(700) + sqrt(700)*-3).\nAnswer: -599*sqrt(2)\/10 + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g**3 + 19*g**2 + 467*g - 3924. Let l be d(8). Let s(h) = -3*h**2 - 6*h + 7. Let p(u) = 6 - 2 - u - 2*u - 2*u**2. Calculate l*s(c) - 7*p(c).\nAnswer: 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4*(0 - -5 - 4). Which is the second smallest value?  (a) m  (b) -2\/3  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43703.\nAnswer: 11, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 3:52 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2404.5 - 2402. Put -3, 0.1, s in ascending order.\nAnswer: -3, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 4*q + 18. What is the remainder when i(6) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -81  (b) 1\/12  (c) 2\/17  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 187.6013677 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20377876 to the nearest integer?\nAnswer: 4514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 2*y = 3*l - 16, -3*y = -5*l + 33. Suppose 3 - l = 3*f. What is the units digit of (0 - 2) + f + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4547542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4155*j - 3607 wrt j?\nAnswer: -4155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3879 or -3611?\nAnswer: -3611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 4883827.2 hours?\nAnswer: 29070.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -13933937 divided by 11\nAnswer: -13933937\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/21  (b) -1  (c) 1\/3  (d) 11  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l - 13. Let b be o(16). Suppose -b*x = -v - 0*v - 4, 0 = 5*x - 3*v. Solve -3\/2*t**3 - x + 0*t**2 + 9\/2*t = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/15  (b) 5\/6  (c) 174  (d) 0.2264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-t - 3*t + 0*t + 2*t + 2*t - 5*t + (1 + 4 - 3)*(-t + 0*t - t))*(-5 + 5 + 3*t**2) to f + w*t**2 + y*t**3 + u*t and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 60*x**3 - 5*x**2 - 52*x - 3. Determine z(-2).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 4*v**2 - 6*v - 1. Let w be (-4 - 9\/(-3))*5. Let k be j(w). Let i = 18 - 12. Calculate the highest common divisor of k and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**3 + 1950675*a**2 - 190257623115*a + 190255672445.\nAnswer: -5*(a - 195067)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*s - 13*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (227 - 195) + (1 - 34).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 58*a**5\/5 - 2*a**2 + 8*a + 331. Find the second derivative of u(p) wrt p.\nAnswer: 696*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 32944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(1\/2)*s**(2\/29)*s)\/((s*s**(2\/7))\/s*s**2\/s) assuming s is positive.\nAnswer: s**(115\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -97.2355149 rounded to two dps?\nAnswer: -97.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -b + 11, 2*b - 3*c - 2 = 21. Solve -4*w + 4*j = -4, -11*w - 5*j - 11 = -b*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3185, -3609, -4305, -5273, -6513, -8025, -9809?\n\"Answer: -136*n**2 - 16*n - 3033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 c, and 1 p when three letters picked without replacement from oozgzgffccggzzzffzop.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 27 - 27. What is the nearest to -2 in 3, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27 + 10. Let q = v - -16.9999983. What is q rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/4356 and 49\/72?\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -d**3\/5 + 20546*d**2\/5 + 3793591*d\/5 - 3814136\/5 = 0.\nAnswer: -184, 1, 20729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1066 or 24492\/23?\nAnswer: 24492\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -52*t - 11. What are the prime factors of v(-5)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4861438 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(2)*1)**2 - (sqrt(44)\/sqrt(2))\/sqrt(11).\nAnswer: -3*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (15\/6)\/(-5) - 139\/2. Let d = p + 96. Calculate the remainder when 282 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 0.04, -5, -4, 141?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 101626652081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 4*s = -0*s + 11, -2*d = -2*s - 8. Let j(v) = -2*v + 5 + 0*v**2 + v**2 - 4. What is the units digit of j(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d**3 - 2261*d**2 - 6708*d wrt d?\nAnswer: 12*d - 4522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 2*g**3 + 68*g**2 + 3*g + 95. Let f(k) = -17*k**2 - 41*k - 4. Let m be f(-3). Give y(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 3*l + 1. Let p(z) = -4*z - 1. Let w(x) = 2*p(x) + 3*t(x). Calculate w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40493 - 223.187227?\nAnswer: -40716.187227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*o + 2 + 3*o - 4*o)*(-4066 - 1428 - 1704) to y + r*o and give r.\nAnswer: -14396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 12:30 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2984, -2985, -2986, -2987?\n\"Answer: -b - 2983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -234 = -5*i + 716. Suppose -260 - i = -6*h. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -254*m = -256*m + 6. Let j(y) = y - 4. What is j(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2333 + -1802. What is the greatest common divisor of 18 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 124912.3ug?\nAnswer: 0.1249123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 240893.\nAnswer: 240893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 5*x**2 + 2*x - 2. Let r be u(5). Calculate the greatest common divisor of 57 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -11760*a**3 + 2*a**2 + 4*a + 3. Is b(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 35*k + 16 - 57*k + 34*k - 30 + 21. Let d(u) = -2*u**2. Give d(t(w)).\nAnswer: -288*w**2 - 336*w - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3644497?\nAnswer: 3644497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of -1\/24*w**4 + w**3 + 0 + 0*w - 2*w**2. What is the units digit of c(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -8, 2, -0.14, -3\/127?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 2:22 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k - 7. Let m(h) = -2*h**3 - 3*h**2 - 2*h. Let s be m(-2). Suppose 2*y = -2*y + 8. Calculate the remainder when y is divided by o(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - (1 - (-3 + 4)). Let n(q) = -q**3 + q**2 + q - 4. What is the units digit of n(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 10*b + 50. What are the prime factors of h(20)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d**3 + 4*d**2 + 8*d + 9. Give r(-4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 25 = -7. Let j(i) = 12*i**2 + 18*i + 48. Let u be j(v). Solve -w - 99 = -u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*b + 5 - 3 - 2 + 11101*b**2.\nAnswer: 11101*b**2 - 38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-36708)\/(-2660)*50\/18)\/(3\/36*-10)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71 + 2*o**3 + 71.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5088408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r. Let i be t(-2). Solve 3 - i = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 98191040 and -1429?\nAnswer: 98192469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3644.96483 + 3645. What is v rounded to 3 dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -t + q, 52 = -t + 3*t - 5*q. Let v = 10 - t. Let o be 4\/v*(-3)\/8. Sort o, 2\/7, -1.\nAnswer: -1, o, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2. Let n(w) = 2. Let k(x) = -x + 8. Let j(c) = -3*k(c) + 12*n(c). Calculate j(y(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 4379*p**3 + 35*p**2 - 10*p + 2629. Let v(s) = -10948*s**3 - 84*s**2 + 24*s - 6572. Let r(q) = 5*v(q) + 12*x(q). Differentiate r(y) wrt y.\nAnswer: -6576*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 422770 to the power of 1\/2, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110220 (base 4) in base 15?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 - 12. Suppose p*u = 5*u. Factor 2*w**2 + 2*w**3 + u - 7 + 0*w**3 - 1 - 8*w.\nAnswer: 2*(w - 2)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 217149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -34 + 51. Suppose 5*q - 4*c - f = 0, 2*q - 5 = -c + 7. Suppose 2*r + 2*u - 4 = 0, 1 = 4*r + q*u - 2. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, -894, 0.3 in decreasing order.\nAnswer: 24, 0.3, -894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 112*r - 197*r**3 - 114*r - 171*r**3.\nAnswer: -368*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15dd (base 16) to base 9.\nAnswer: 7608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - -2) + -8 + 16 - -12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 7:36 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6582.\nAnswer: 2, 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 14) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -50862 - -110681. What are the prime factors of k?\nAnswer: 41, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 644520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 99.95 - 97. Let k = g + -2.7. Let q = 0.2499924 - k. What is q rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the third derivative of 1562*c**7\/105 + 3739*c**3\/6 + 335*c**2 - 2*c. Differentiate p(k) wrt k.\nAnswer: 12496*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2030857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, -21\/20, 0.1, 4, -65 in descending order.\nAnswer: 4, 2\/13, 0.1, -21\/20, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbsb when four letters picked without replacement from {b: 8, s: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21*(-40)\/(-24)*(-3)\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15307111.82 rounded to the nearest one hundred thousand?\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -3*f**2 - 83231*f + 666048. Determine z(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3966894.\nAnswer: 2, 3, 47, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3892 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 - 34. Let o = 15 + n. What is the third biggest value in o, -0.4, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-27)\/(v\/v**(-21)))**(1\/30))**(-8) assuming v is positive.\nAnswer: v**(196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -23862.\nAnswer: -23862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {s: 3, q: 1, v: 2, l: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - 0 - 0 - -322. Let q be ((-2)\/(-5))\/(26\/k). Suppose j - 4*h - 5040 = -3*j, 0 = -q*h - 5. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 451094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18 + 92 + -19)*3\/15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.05 in 0.5, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 144457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -387, -866, -1345, -1824, -2303?\n\"Answer: -479*z + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -3*w**2 - 8*w - 1. Let k be u(-3). Let h(b) = -2*b**3 + 7*b + 2. Let d(y) = -y. Give k*d(z) - h(z).\nAnswer: 2*z**3 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6  (b) -5  (c) -1\/10  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 + 2 - 1) + 0. Find the first derivative of 4*c**4 + 0*c**3 + 2 - 5 + k*c**3 wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -30*v**3 - 35*v**2 + 35*v. Let k(n) = n**2 + 38*n + 350. Let m be k(-22). Let y(w) = w**3 + w**2 - w. Calculate m*t(h) - 70*y(h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4 + 3*sqrt(2448)*4)**2 - ((sqrt(2448)*-1*5)**2 + 1*sqrt(2448)*1 + 0).\nAnswer: -766256 - 2316*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -37590.2483 rounded to zero dps?\nAnswer: -37590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 413 - 284. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 + 3*m**2 - 6*m - 5. Let d be i(-3). Suppose d*h + 963669 = 6*h. Let r = h + -111333. What is r rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 3 = -19. Suppose -11 = -u*f + 9. Put -5, -0.5, f in descending order.\nAnswer: f, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w - 2. Let q be x(4). Let p = q - 1. Suppose 3*z - 2*z = p. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2\/5, -1, -6\/3439, -1\/105 in ascending order.\nAnswer: -1, -1\/105, -6\/3439, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -16*v - 147. What is g(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/31?  (a) 0  (b) -4\/5  (c) 58  (d) 183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-3\/5))**8\/((u\/(((u**(-5\/3)*u)\/u)\/u))\/(u*u**6)) assuming u is positive.\nAnswer: u**(242\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 - 79 = -5*k + 3*v, 5*k + 3*v - 203 = 0. Suppose k = 3*j - j. Round j to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s - 33*l + 52*l + 37, 0 = -5*s - 3*l + 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 159928867 to the power of 1\/2, to the nearest integer?\nAnswer: 12646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36014 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -1 + 0*o**4 + 0*o**3 + 0*o**2 - 2\/5*o**5 + o. Differentiate x(n) wrt n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 47.78855 decades?\nAnswer: 0.4778855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15995?\nAnswer: 5, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-140)\/(-6) + -3)*(-6)\/(-8). Let t = -31\/2 + z. Sort -3\/4, -1, t, 3\/2 in increasing order.\nAnswer: -1, -3\/4, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1206  (b) -4  (c) 4\/5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -33 and 13.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126712221?\nAnswer: 3, 23, 31, 59239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 11:17 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5142?\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/12)*f**9*f**(-2\/13)*f*f**(-10))**(-16) assuming f is positive.\nAnswer: f**(148\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -699, -7622, -19175, -35370, -56219?\nAnswer: -81734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -130 - -202. Let s = 71.99999797 - l. Round s to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -2\/19  (b) 3\/4  (c) -1\/2  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/333192 and 133\/36.\nAnswer: 999576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 3*u + 2*u = -87, 2*a + 2*u - 62 = 0. Let n = 148 + 34. Calculate the highest common factor of a and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.19332 in -0.5, 3\/5, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 311564*z**4 + 3*z - 32371 wrt z?\nAnswer: 3738768*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7166.1501 minutes in days?\nAnswer: 4.976493125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5232942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 210 and 880810?\nAnswer: 2642430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 306 a factor of 231293772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-30))\/(12\/844). Let x = 5339\/5 - 1063. Let w = f + x. Find the common denominator of 29\/2 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 205322 less than 374074073?\nAnswer: 373868751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l**2 + 4*l**2 - 3*l**2)*(12 + 14 + 24)*(-5*l**2 + 0*l**2 + l**2) to the form m*l + y*l**2 + p*l**3 + o*l**4 + b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 2. Suppose 5*l - 37 = 3*h, n*l + 4*l - 3*h = 32. Solve -c + 0 - l = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -521 - -522.2. Which is the closest to -2\/5?  (a) k  (b) 2\/9  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 19*d - 1. Let a be o(3). Let t be (-1)\/4 + 7\/a. What is the nearest to 0 in -3, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15185.81 litres?\nAnswer: 15185810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -443241 + 22?\nAnswer: -443217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r = -530086 - 194954. Let l be (-2)\/8 + (r\/12 - 1). Suppose 0 = 6*v - 3*v - 2*s - l, -3*v + 3782 = 5*s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2350679846.\nAnswer: 2, 487, 2413429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zpbkm. What is prob of picking 2 z and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (30\/5)\/((-26)\/260*3\/1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 2) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of 2*h**5\/5 + 23*h + 28. What is the first derivative of i(s) wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2*x + 1701 = -37, -8714 = 5*r + 4*x. Let z = 2447 + r. What is z rounded to the nearest ten?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*j**3*n**3 + 208*j**3*r + 9*j**2*n**2*r - 934899*j*n**4 - 74*j*r + n**3*r - n**2 wrt n.\nAnswer: -24*j**3 - 22437576*j*n + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51694 is divided by 6461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 4*s + 197, -10*k + 11*k - s = 182. Calculate the remainder when k is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from {v: 6, l: 4, e: 2, o: 2, i: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q + 4*q - 4*q + 0*q - q + 0*q + (-q + 2*q + q)*(42 + 41 - 92))*(-4*q + 4*q + q).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h + 19. Let i be n(-17). Solve -4*a - 4*b = -20, -i*a - 3 = -5*b - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 0*h - 4. Suppose -w + 307 = h*l, -l + 61 = -0*l - 5*w. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 1 + -1 + (-3 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12015541 + -4?\nAnswer: -12015545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*o = -26, -2*x + 8 = -o - 7. Let t be (x\/(-56))\/((-5)\/40). Solve -t + 5 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4920490.5 to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.17 in 0.3, -5, 623?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2016 - 2026. Sort -59, 2\/5, h in decreasing order.\nAnswer: 2\/5, h, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 3 = 3*j + 4*k, 4*j - 3*k = 10. Sort 10, j, -2 in decreasing order.\nAnswer: 10, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 733.8183ml to litres.\nAnswer: 0.7338183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7985911621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 38*w**2 - 13*w - 28*w**3 - 12 - 8 - 48*w**2. Let v be m(12). Round v to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -98 + 96. Let z = -10 - 3. What is the third smallest value in z, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7682.957 litres?\nAnswer: 7682957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 9478 = -4*t + 9462, -12 = 3*t + 5*k + 7*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 1981 = -2*m, 5*x + 0*m - 3303 = -3*m. What is x rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34 and 816.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 641833 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -152 + 279. Suppose o*s = 122*s + 5585. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152044215 (base 6) in base 8?\nAnswer: 14100363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/9 - 32\/(-84) - (-130)\/14. Solve -17*m - 64 = -x*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 16*p**5\/5 + 10*p**3\/3 - 655*p + 94. Differentiate f(r) wrt r.\nAnswer: 64*r**3 + 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 - 20*g + 99. Let q be c(11). Sort q, -1, -8, 8 in decreasing order.\nAnswer: 8, q, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 37*o. Let r(j) = 261*j. Calculate b(r(d)).\nAnswer: 9657*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 63 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 1 + 3)*(-4 - 2*i + 4) + 236 + 239 - 474 + 508*i)*(-2 + 0 + 0).\nAnswer: -1008*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 11, -628, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/2 - 125295*l + 24798609\/2.\nAnswer: (l - 250491)*(l - 99)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of p**4\/4 - 2*p**3 + p**2 + 4*p - 73. Give l(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-884)\/169 + 26 - (-72)\/(3\/(-1)).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-3) - -1 - 31\/((-5425)\/(-10)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t**2 - 1. Let o(y) = -y**3 - 9*y**2 + 3. Let b be o(-9). Let q be (b - 3) + 3 + -2. Determine r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2076991.\nAnswer: 7, 296713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*d = -27*d - 33*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/53475?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*v**4 + 0*v**2 - 2*v**3 + 20*v + 11 - v**2 + 14*v**4 + 5*v**4 as p*v**3 + n*v**4 + s*v + j + w*v**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -220, 2 in decreasing order.\nAnswer: 2, 0, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35 - 36. Let g(m) = -3*m**3 + m**2. Let l be g(p). Suppose -60 = -2*z + l*i, -i - 3*i = z - 12. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 4*z**3 - z**2 - z. Let v be 1\/(-4) + (-27)\/36. Let l be k(v). Is (6\/l)\/((-3)\/164) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/90*(4 - 1). Let s be (-1*8\/10)\/2. What is the third biggest value in 2, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 20*b + 30. Let c be q(0). Calculate the greatest common divisor of c and 825.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 3018*m**3 + 5*m**2 - 5*m - 6. Let o be p(8). Let z = o - 1020749. Let s = z + -5224741. Round s to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (556*o - 193*o - 243*o)*(0 - 3 + 2)*(1 + 1 + 1)*(0 - 2 + 0)*(-6 + 6 - 7).\nAnswer: -5040*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 10 = 2*c, -4*q + 1 - 13 = 5*c. Suppose -q*f - 1 = -9. Solve 5*y = -2*s - 13, f*y + 5*s = y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1115315764.\nAnswer: 2, 163, 1710607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oooyoooyooyooo. What is prob of sequence yoyy?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -272*f + 2461. Calculate the remainder when 369 is divided by v(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from ukksyuyguudsu.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.1, 4, 0.03 in descending order.\nAnswer: 4, 0.03, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/24*(-21)\/112.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -587*v**4 + 170509*v**3 + v**2 - 68*v - 2121527 wrt v?\nAnswer: -14088*v + 1023054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -98\/3 + 33. Let v = -171\/28 + 48\/7. Are v and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-6 + (-60)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -189*b - 202*b - 203*b + 609*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = 4*u - 5*u - 2, 4*u + 3*n = -3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of -z**4\/8 + 13*z**3\/6 + 28*z**2. Is 31 a factor of u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 5, 1, -9 in decreasing order.\nAnswer: 7, 5, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of -r**4\/24 + 2*r**3\/3 + 13*r**2\/2 - 9. Let f(u) be the second derivative of q(u). What is f(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -15. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150885601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(3\/4)*j**(4\/15))\/((j*j**(-15))\/j)**(-11) assuming j is positive.\nAnswer: j**(-9839\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 6015.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*t + 13 - 2*t - 14)*(3*t**2 - t**2 - t**2) as f*t**3 + b*t + i + z*t**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 179153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10330 + -121321210?\nAnswer: -121332200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-45)\/6912*16)\/(1\/(-2)).\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(5\/3))\/(40\/200)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -1. Let v = x + 0. Solve v*m = 2*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000012390889 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -12*g**2 + 2*g - 5. Determine r(6).\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d**2 + 7*d. Let h be n(-5). Suppose 2*q + 3*c = 8*c + 28, q + 3*c + 8 = 0. Suppose -68 = -q*l - 12. Is h equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*x - 4 - 13 + 5*x**2 + 13 + 0 as b*x**2 + y + g*x and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-7\/10))**(-4\/5) assuming f is positive.\nAnswer: f**(14\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1062*r**2 + 145*r + 1062*r**2 + 15*r**3 - 116*r - 2.\nAnswer: 15*r**3 + 29*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 23970912 a multiple of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20111 + -122011111?\nAnswer: -121221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 352.931406 rounded to two decimal places?\nAnswer: 352.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -21630384, -43260771, -64891156, -86521539?\n\"Answer: r**2 - 21630390*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17884 and -0.15?\nAnswer: -2682.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -5. Suppose -3*m + t*n = 4 - 0, m + 5*n - 10 = 0. What is the closest to 0.2 in -0.5, 2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 303 is divided by 184.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/((-36)\/28 - -1). Suppose d*t = 2*t - 5. Let g(o) = -11*o**3 - o. Is 6 a factor of g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 352340 and 11669590.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7175 + -0.346211?\nAnswer: -7175.346211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2485867 less than 219498939?\nAnswer: 217013072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 + -22. Is ((-4038)\/p)\/((-18)\/(-24)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-90)\/225 - (107\/(-5) - 0) and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 766 divide 154516754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - c**3 - c)*((2*c + 0*c + 0*c)*(1 + 4 - 3) + c - 3*c + c - c + 2*c + 0*c - 1 + 21*c + 3 - 47*c).\nAnswer: 22*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 259 by 3.\nAnswer: 259\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -13*l**2 + 94*l + 18. Let u be n(10). Let c = u - -338. Let s(b) = -b**2 - 5*b - 8. Calculate s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 17*h**2 + 4*h + 4. Let q(g) = -38*g**2 - 9*g - 9. Let a(t) = 9*d(t) + 4*q(t). Let k(n) = -1064*n**2. Calculate a(k(c)).\nAnswer: 1132096*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 12 = z, -1797*z - 7*g + 74 = -1795*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 658291776?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2239 divided by -12?\nAnswer: -2239\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + 10. Suppose c*n - 8 = 20. Solve -5 = -n*u + 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-14) + 0 + (-198)\/(-21). Do 5 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5\/14 + -4\/21. Let g(u) be the third derivative of u**2 + 0 - 1\/60*u**5 + 0*u**4 + w*u**3 + 0*u. What is the first derivative of g(o) wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32)\/112*(-28)\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 8*n - 3. Let m(c) = -8*c + 4. Let k = -509 + 514. Give k*g(b) + 4*m(b).\nAnswer: 8*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 973 - 965. Which is the nearest to -1\/4?  (a) f  (b) -1  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.34571 or 4791?\nAnswer: 4791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 868959600 rounded to the nearest one hundred thousand?\nAnswer: 869000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (81\/75 - 1)\/((-6)\/30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1162, 1110, 1024, 904?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 d when three letters picked without replacement from {m: 3, a: 11, i: 3, d: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 6*f**2 - 6*f + 1. Let a be s(-2). Suppose -j - 2 = 0, 0 = 4*z - 4*j + 5*j - 126. Suppose z*h + 2495 = a*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14210 (base 11) to base 14.\nAnswer: -7522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28239.\nAnswer: 3, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {j: 2, p: 8, z: 8}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 679 and 826.\nAnswer: 80122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 155 or 3079\/20?\nAnswer: 3079\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3250979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3787*c + 2*c**2 - 3787*c. Let g(z) = -8*z**2 - 4*z. Let q(y) = -15*y**2 - 7*y. Suppose -4 = 2*j + 4. Let n(l) = j*q(l) + 7*g(l). Calculate a(n(x)).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 - 33 = -8*l. Calculate the highest common divisor of 40 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-70 + (-9 - -14) - (0 - 8)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of 3852524990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269*i + 3963 = 117 - 515 + 57 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 571033?\nAnswer: 491, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 24*m**2 + 50. Let s be b(-24). Let o = s - 57. Let d(k) = -14*k + 11. Is d(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1740*d - 18 = 1738*d, 0 = 2*y + d - 4*d + 31 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-6\/7)\/r)**(-37)*r**12*r*r*(r**(1\/2)\/r)\/r assuming r is positive.\nAnswer: r**(1137\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10 and -10.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 162 and 88018713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -248 = 12*s - 2744. Calculate the greatest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20515087 divided by 31.\nAnswer: 661777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43258388.\nAnswer: 2, 53, 107, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.819911kg in tonnes?\nAnswer: 0.007819911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11.8094224*4.\nAnswer: -47.2376896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 461231, 461549, 461867, 462185, 462503, 462821?\nAnswer: 463139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -66 + 120. Let f(j) = 8*j - 29. Let r be f(7). Let n = y - r. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(((q*q*(q*q*q**(-2\/49)\/q*q*q)\/q)\/q)\/q))\/(q**(-15\/2)\/q) assuming q is positive.\nAnswer: q**(739\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*x - x**2 + 185*x - 64*x - 65*x.\nAnswer: -x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -538 divided by 49551\nAnswer: -538\/49551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from trrrtrrtrrrrrrrtrt. Give prob of sequence trrt.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 37944021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2432 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 7 - 0. What is the least common multiple of 5 - -2 - (u - -6) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -311720, -311706, -311678, -311630, -311556, -311450?\n\"Answer: f**3 + f**2 + 4*f - 311726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 32 = -2*d. Suppose -4*h + d = 0, -1 = -4*u + 2*h + 63. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + 28*b - 25*b - 7895, 2*w - 3943 = -b. What is the remainder when w is divided by 653?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 715575 and 2072700.\nAnswer: 60108300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g. Let b be 9\/27 - (-16)\/(-12). Let l(n) = -16*n - 7. Let j(s) = 34*s + 15. Let r(f) = -6*j(f) - 13*l(f). Calculate b*r(u) + 5*z(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (189\/(-189))\/(2\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 2, -323\/2, 0.07, 7\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express t**3 + 2*t**3 - t**3 + (-2*t + 4*t + 0*t)*(-265*t + 214*t**2 + 265*t) + t**2 - t**3 - t**2 in the form p*t + i*t**2 + d*t**3 + s and give d.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/409504 and -57\/32852.\nAnswer: 17608672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1609018 is divided by 1609009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 5*f - 1830*y + 1828*y, f = -4*y - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8 is divided by (8\/12)\/(((-110)\/75)\/(-11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -a + 3*d - 15, 0 = -2*a + 5*d - 19. Let n(l) be the third derivative of -l**5\/30 - l**4\/12 + 4*l**2. What is n(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*l + 365*l + 364*l - 1138*l + 345*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 - 6*a**2 - 5*a - 2. Let r be w(7). Let t(l) = 11*l - 34. What is the remainder when t(r) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -40, -71, -110, -157, -212?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 255*f*j**3 + f - j**3 + 806*j**2 wrt f?\nAnswer: 255*j**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 - -20. Solve -2*p + 9 = -v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 3*b + 36, 0 = r + 2*b + 3 + 11. Let j = r + 28. Suppose -2*x + j = 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: Two letters picked without replacement from {v: 2, u: 3, l: 4, r: 8}. Give prob of sequence vl.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-29004)\/(-30) + 0 + 1. Let k = -1957\/2 + c. Calculate the common denominator of (-39)\/(-42) + 1 + 0 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19823\/3112 - -2\/389. Calculate the common denominator of z and 1 - 0 - (-210)\/(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -80\/7, -118 in descending order.\nAnswer: 1, -80\/7, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 211954*d**2. Let l(w) = w. Calculate l(p(k)).\nAnswer: 211954*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -152.11 - -154. Let y = 0.11 + z. Which is the biggest value?  (a) y  (b) 1  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 38*a**2 - 18*a + 167. Give y(6).\nAnswer: 1427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*o**4 - 2*o - 22*o**4 - 17 + 2*o**3 - 3*o**2 + 98 as v + u*o**4 + d*o**2 + n*o**3 + y*o and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 4*h + i, 5*h - 7*h + 17 = 3*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 - 5*b**2 + 9*b + 10. Let v be g(-6). Let r(q) = 4*q**2 + 5*q - 5. Calculate the smallest common multiple of r(-5) and (-3)\/2*64\/v.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of -227*u**4\/12 + 143*u**3\/6 + 49*u. Find the second derivative of p(f) wrt f.\nAnswer: -454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-13 - -15) + 6\/2. Solve 5*s = -25 + m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of 1\/6*p**3 + 25*p + 0 + 0*p**2. Let j be (-6)\/12 - (-11)\/(-2). Let n(l) = l. What is j*b(s) + 10*n(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/(-9))\/((-62)\/6). Let j be 4 - (-3 + 4 - -2). Which is bigger: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(-7*n + 7*n + 13*n) + (3 + 0 - 5)*(n - n - n) + n - 6*n + 4*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*o**3 - 522*o**2 - 12084*o + 26280 = 0. Calculate o.\nAnswer: -146, -30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 256 (base 7) in base 6?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -276899.8 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*v + 80*v - 62*v - 5008411 = 0. List the prime factors of v.\nAnswer: 23, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/79?  (a) 0.09  (b) -3.9  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 3*h**2 - 4*h - 4. Let b be y(-3). What is the units digit of (b - 2) + 6*50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -310*r + 2019 = 8219 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 56 - (88 - (18 - 6))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2450 - -353110?\nAnswer: 350220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 34904, 136257, 305180, 541673?\n\"Answer: 33785*x**2 - 2*x + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or 100?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.05 - 0.01. Let d = o - 0.04. Which is the third biggest value?  (a) -1  (b) d  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 899.123 to the nearest 10.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4572 - 4572. Suppose 0*u = 4*u - 20. Solve -u = -i - o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - 0)\/(5\/(-5)). Suppose 3*t + 3*o = -18, -o - 10 = -3*t + 3*o. Let b be ((-1)\/3)\/(t\/(-6)). Which is bigger: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 1, 0.1, -0.3071, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 181149413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + 6 + 19. What is the smallest common multiple of 7 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 292 - 288. Let q = 10 + -6. Solve -8 = q*a - t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k**4\/8 - 1365*k**3\/4 - 170751*k**2\/2 + 172113*k = 0. Calculate k.\nAnswer: -206, 0, 2, 1114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of 9\/2*g**6 - 18\/5*g**5 - 25\/14*g**7 + g**4 + 0 + 0*g**3 - 3*g + 0*g**2. Find s, given that j(s) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 3806.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -2*o + 50, -2*o = -q - q - 56. What is the greatest common divisor of 62 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10 or -21?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.7 - 0.2. Let a = 0.41 + -0.11. Let s = f - a. Which is bigger: s or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, c: 1, u: 2}. What is prob of sequence uy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 9*v**2 + 4*v + 15. Let d be r(-10). Suppose -5*i = -d - 20. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2792.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -165604, -331208, -496816, -662428, -828044, -993664, -1159288?\nAnswer: -1324916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -48\/35 and -113\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 7 = 3*q, 6517*q - 5*r + 25 = 6512*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 5*j = 96, 0 = -5*x - 2*j + 48 + 131. What is the remainder when 762 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14 and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1413756 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.3  (b) 101  (c) -0.5  (d) -813\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 51812 or 155435\/3?\nAnswer: 51812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 7 = -3, -2*c = -2*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -48*p - 9. Let v(r) = 50*r + 7. What is 4*b(z) + 5*v(z)?\nAnswer: 58*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 698\/(-1130) + (-5 - 112\/(-20)). Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -84571623 - 14296*f + 84571623 as y*f + c and give y.\nAnswer: -14296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20636 and 8400?\nAnswer: 6190800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.46411 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 29.8 * 711736.\nAnswer: 21209732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 119088.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q - 2*q**4 + 2*q)*(0 + 2*q + 0) + 11*q**5 - 2*q**3 - 9*q + 7*q - 10*q**5.\nAnswer: -3*q**5 - 2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 22 = -7. Suppose 9*g + 9 = 12*g. Suppose 4*a = -3*z - 11, -2*a + a - 5 = 0. Solve -x - 5 = -t*w + z, x + g*w = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 5*d = -7, -4*d = -3*k + d - 11. What are the prime factors of (-100)\/(-2)*(-7)\/k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**4\/u**(-2\/81) assuming u is positive.\nAnswer: u**(326\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 + 18*b**2 - 11*b. Suppose -70 = 61*c - 71*c. Is y(c) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2632435 (base 7) in base 2?\nAnswer: 1010100000010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of -k**6\/90 + 17*k**4\/6 + 94*k - 1. Let x(j) be the third derivative of p(j). What is x(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - ((-2 - -5) + -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 977 = 975 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 20*m**3 - 19*m**3 - 121*m + 121*m. Suppose 5*x = r, -5*x = 4*r - 10 - 15. What is the tens digit of n(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 8698  (b) -2\/47  (c) 0.1  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3201*f**4 + 336*f - 2?\nAnswer: -38412*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**12\/(r\/(r*r**(-1\/9))))**28 assuming r is positive.\nAnswer: r**(2996\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 3:54 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*q**5 + 25*q**4 - 5980*q**3 - 86080*q**2 + 103840*q + 183920 = 0. What is q?\nAnswer: -22, -1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12508197?\nAnswer: 3, 13, 24671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = j + 5, -2*j - 4 = -4*q - j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 653*l - 157. Let t be g(23). Suppose 83468 = 5*d - d - 4*j, 2*d - 41749 = 5*j. Let m = d - t. What is m rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9458040 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2385, 4779, 7193, 9633, 12105, 14615?\n\"Answer: d**3 + 4*d**2 + 2375*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22007 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/43049357 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 4 + 2. Let n be (t\/4)\/(1\/(-24)). Suppose 7*w = 2*w + 120. What is the highest common divisor of w and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 202 - 185. Calculate the smallest common multiple of 62 and a.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 0 + (-5 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r + 3. Let f(i) = i + 7. Let x(m) = -4*f(m) + 9*j(m). Suppose 6 = 35*c - 33*c. Give x(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.21  (b) -2  (c) 0.0403  (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v**2 + 4*v**2 - v**2)*(v**2 + 0 + 0) + (-3 + 3 + 1)*(0*v + 0*v + v)*(6*v - 6*v + 3*v**3).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35364.\nAnswer: 2, 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(6*(1 + sqrt(475) + -6*sqrt(76)\/sqrt(4) + -2*(2*sqrt(475) + sqrt(475)) + 1))**2*5.\nAnswer: -133920*sqrt(19) + 19724040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -9) + 3 + -10 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -4 + 1 - (-8 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-3*sqrt(143)*5)\/(sqrt(11) - 5*1*sqrt(11)))**2.\nAnswer: 26325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r + 774093 - 86340 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/6)\/r)\/r**3*r\/r**1*r**6*r assuming r is positive.\nAnswer: r**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/70*-24 + 2 + -4. What is the fourth biggest value in -5, -374, 2\/3, f?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k. What is q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37850702?\nAnswer: 2, 18925351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*(-2)\/8 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.1333 + -0.1333. Which is the closest to 11?  (a) -2\/11  (b) s  (c) -7  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 - i + 7. Let q(b) = b - 12. Let u be q(16). Suppose u*f - 11 + 43 = 0. Determine y(f).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 659, 2704, 6131, 10940?\nAnswer: 17131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2. Let x(m) be the first derivative of m**3\/3 - 318. Determine -2*j(w) + x(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 12\/30 + 51\/(-15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -2*b + 51*g - 54*g, b + 3*g + 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4*((-399)\/(-18) - 22)\/((-24)\/9 + 1). Let v be ((-1)\/5)\/(2\/(-5)). What is the closest to 0.1 in v, -3, c, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + -1 - (1 - 1). Let z = 54 - 77. Let y be z\/(-2) + (-1)\/h. What is the greatest common divisor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 72\/168*4\/(-6). Which is the nearest to -0.1?  (a) -6  (b) n  (c) 4  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -191\/5?  (a) 5  (b) 0.2  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3100 + -1402?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.5 + -0.6. Let n = 8 + -4. Which is the second smallest value?  (a) x  (b) -2\/11  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1570688248.\nAnswer: 2, 113, 127, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -12, -33, -68, -117?\n\"Answer: -7*x**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 73*s - 3. What is the tens digit of i(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3*q = 32, -4*x + 0*q + 64 = -q. Let k = x - 13. Let b be ((-6)\/(-4))\/(k\/(-4)). Put -7, 0, -5, b in descending order.\nAnswer: 0, b, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011010110001101100101000100 - 11?\nAnswer: 1011010110001101100101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 3*y - 2. Find the third derivative of -7*k**2 - 2*k**2 + 3*k**2 - 2*k**y - 10*k**5 wrt k.\nAnswer: -600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1338*g - 339*g**4 - 7*g**4 + 4*g**3 - 62*g**4 - 2*g**3 wrt g.\nAnswer: -4896*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 1:52 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of y**4\/6 + 5*y**3\/3 + 9*y**2\/2 + 5*y. Is m(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 126*k - 14. Let v = 116 - 115. Calculate the remainder when i(v) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/3722 or -1\/3?\nAnswer: -1\/3722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.7265356 nanometers?\nAnswer: 0.0007265356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -69.43 + -426.67. Round v to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 4*p - p - 5, 3*j = -3*p - 3. Let k = 5 - 3. Suppose 0 = -2*l - k*l. Solve 4*f + 4 + j = l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2293.\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 36045 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6511 * -1.\nAnswer: -6511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-2))\/(-1 - (-2 + -1))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1525\/2 - -763. What is the fourth biggest value in -20, 0.3, d, 0.4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (2 + -5)*13*(-5)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 3*t**2 - 17*t - 9. Let d = -48 - -55. Let j be u(d). Suppose 2*z + h = j, 2*h + 25 = 5*z - 0*h. Let r(x) = 2*x - 10. Calculate r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((0 + sqrt(7) + -3 - 5*sqrt(28)\/sqrt(4))**2 + (sqrt(105)\/sqrt(3))\/sqrt(5) + -5*(sqrt(7) + -1)).\nAnswer: -378 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1530464 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29234529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 32626576373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 10 - 10 = 0. Let f(q) = q**2 + 4 - c*q**3 + q - 4 + 0*q**3. Let x be (1*-4)\/2 + 5. Let g(u) = -9*u**3 + 2*u**2 + u. What is x*g(o) - 5*f(o)?\nAnswer: -2*o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4422222 + 3?\nAnswer: -4422215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -3. Suppose x - t*x + 4 = 0. Is x greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 10*o - 25. Let q be r(-4). Let s be 5*(q - (5 + -7)). Solve a = s*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 AM and 6:44 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of -3*q**6\/40 + q**4\/6 - 2*q**3\/3 - 188*q**2. Let t(x) = -x**3 + x - 1. What is -l(m) + 4*t(m)?\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/(-2))\/(21\/(-140)). Let f = -6 - z. Suppose -f*s - 1 = -61. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19871.\nAnswer: 31, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*i + 17*i + 7049. Suppose b + 1004 = i. Solve -1 = -b*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -4*t**2 + 2*t - 581. Let p(f) = -f - 7. What is p(l(u))?\nAnswer: 4*u**2 - 2*u + 574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -340\/519 - 2\/173. Let j be ((-4)\/(-48))\/(66*(-3)\/(-291)). Let r = j - 1\/88. Which is the second biggest value?  (a) r  (b) -2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 5*a + 513 = 0, 2*n - 4*a + a - 1026 = 0. Let s = -9749\/19 + n. What is the smallest value in -5, -1, 0.3, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 179*f*t**2 + 381*f - 54767*t**2 + 21*t + 2 wrt t?\nAnswer: 358*f - 109534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(-4 + 2 + 4). What is the second derivative of t*o**2 - 20 + 2*o**2 - 3*o**3 + 2*o**2 + 2*o - o**2 wrt o?\nAnswer: -18*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 802, 4447, 8092, 11737, 15382, 19027?\n\"Answer: 3645*g - 2843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4488, -4481, -4460, -4419, -4352?\nAnswer: -4253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -55*n - 50*n + 10 + 104*n - 12. Give a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -u. Which is the second smallest value?  (a) 5  (b) 1\/9  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 21 + 344. What is the greatest common divisor of p and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(112)*3)**2 - (3*sqrt(112) + -1).\nAnswer: -36*sqrt(7) + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35\/(-1890)*9 + 106\/(-84).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, p: 10}. What is prob of picking 1 p and 2 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*k**2*t*u*x + 90*k**2*t*x + 7*k**2*u**2 + 2*k**2*x - 5*k*u*x - 2*t*x wrt u?\nAnswer: 6*k**2*t*x + 14*k**2*u - 5*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -320 divided by 2?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1989 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -299*s + 8969. Give l(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2165 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -507, -1063, -1657, -2283, -2935?\nAnswer: -3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -375?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 a when three letters picked without replacement from qqpaaqaaqaa?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -48\/29125 and 41\/125.\nAnswer: 29125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1528)\/90 + (-8)\/(-20). Let v = l - -84\/5. Suppose 0*h = h + 4, 3*q = -5*h - 23. Is q at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**3 + 3*o**2 - 31*o - 20. Let h be t(5). Calculate the highest common factor of 190 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 2*k = 12, 2*v + 7 = -k. Let l be (-2)\/v + (-6)\/(-10). Let i(d) = -1. Let h(x) = 3*x - 1. Calculate l*h(m) - 3*i(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-10)*k)**(-2\/3)\/(k**(11\/6)*k*k\/(k**(-4\/17)\/k)) assuming k is positive.\nAnswer: k**(95\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*k + 20 = -71*k. Suppose 0 = 3*f - 4*f, k*p - 11292 = f. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19704 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 57741\/50 + -1155. Calculate the common denominator of (1\/40)\/((-80)\/6976) and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - -186. Let c(a) be the first derivative of a**4\/4 - 4*a**3\/3 - a**2 + 6*a + 2. Let s be c(5). Calculate the highest common factor of s and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of 50\/3*o**3 + 128\/7*o**7 + 0*o**6 + 0*o**5 - 116 + 0*o**4 + 0*o + 0*o**2. Find the third derivative of z(m) wrt m.\nAnswer: 15360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of a**4\/6 - a**2 - 57. Let q(w) = -25*w. What is q(s(h))?\nAnswer: -100*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*0.4791\nAnswer: 0.19164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2438 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 43 - 73452127\nAnswer: -73452084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-five halves of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v + 4 = 18. Let m(q) = -q**2 - 7*q - 4. Let w be m(-6). Suppose 0 = -w*z - v*z + 20. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*w - 1748 - 305 - 597 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (23\/(-230))\/1 - (-131)\/210. Let p(v) be the second derivative of 6\/7*v**2 + 2*v + 1\/14*v**4 + 0 + g*v**3. Factor p(a).\nAnswer: 2*(a + 3)*(3*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 5325?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-9)*(5 - -10). Suppose 3 + 17 = c*r. Solve 4*y = -2*w, r*w - y - 12 = 3*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of 1\/3*n**3 + 1\/120*n**6 + 0*n + 0 + n**2 - 5\/24*n**4 + 1\/15*n**5. Does 2 divide p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 157, 621, 1395, 2479, 3873, 5577, 7591?\n\"Answer: 155*u**2 - u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330 = 94*q - 419*q + 1305. Solve -8*w + 6*w = -q*j + 17, -6*j + 10 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*n)*(69 + 27 - 56) + n + 9*n - 6*n.\nAnswer: -76*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**4 + 244484*j**3 + 7471308792*j**2 - 14943595536*j.\nAnswer: 2*j*(j - 2)*(j + 61122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of 83*c**3\/3 + 171*c - 50. Differentiate d(n) with respect to n.\nAnswer: 166*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, l: 4, x: 2, u: 2, m: 1}. Give prob of sequence xnm.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*(j*j*j*j\/((j\/j**31)\/j))\/j)\/(j\/j**(-7\/4)) assuming j is positive.\nAnswer: j**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -8689 times -0.08?\nAnswer: 695.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a = -4*b + 8*a + 7464, 5*b - 9312 = 4*a. Let i = -878 + b. List the prime factors of i.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -35 + 70. Let y = 29 - 11. Calculate the remainder when l is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33306 is divided by 4157?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1))**(-39\/2))**(-2\/41)*(j**(1\/7)\/(j**(-3)*j))**(-8\/13) assuming j is positive.\nAnswer: j**(-8469\/3731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 192 - 187. Suppose -4*b - y*t + 1965 = 641, 4*t = -b + 331. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*v**3 + 180*v**3 - 15*v + 7*v + 8*v.\nAnswer: 232*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 686624 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -30 * -0.4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 28 = -9*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 87972 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3379*w = 3425*w - 53406. What is the remainder when w is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of -17*h**2\/2 - 18. Let q(n) = 0 + 0 + n - 3*n. Determine q(u(v)).\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (6909\/(-16779))\/(3\/17)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-8)*4*(-132)\/33\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 16*i**2 - i - 276. Let u(k) = 3*k**2 - 55. Let b = 61 + -59. Let x(l) = b*c(l) - 11*u(l). What is the first derivative of x(f) wrt f?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2498401735 to the nearest integer?\nAnswer: 49984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 12 + 2)*(-z**4 - z**5 + 4*z**4 - z**4).\nAnswer: -11*z**5 + 22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -1653.072.\nAnswer: -1660.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(204)\/sqrt(4)*-2 - 3*sqrt(816))\/(sqrt(3) - 3*2*sqrt(3) - sqrt(192)\/sqrt(4)).\nAnswer: 5 + 14*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*m**4\/4 - 27145*m**3\/2 - 13570*m**2 + 27145*m\/2 + 54285\/4 = 0. What is m?\nAnswer: -10857, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/12527 in -0.3, 4, 3, 116, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2212021122 (base 3) in base 11?\nAnswer: -39368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 2  (c) -398\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of -1\/12*d**4 + 0*d + 0 + 0*d**3 - 6*d**2. Let f(a) = 4*a. Let o(h) = -h. Let p(x) = f(x) + 10*o(x). Calculate i(p(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -145165\/18 - -8067. Calculate the common denominator of (-171)\/24*16\/120 and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 261*t**2 + 18*t + 410. What is the hundreds digit of l(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o + 0*o - 3*o**2 + (-o + 3*o + 0*o)*(-6*o + 0*o - 3*o)*(9 + 8 - 72) - 3 - o**2 + 3.\nAnswer: 986*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*o**4 + o**3 - 3893*o**2 + 138089*o?\nAnswer: 72*o**2 + 6*o - 7786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 4*b. Let h(k) = k**2. Let n be 3\/(-2)*(-32)\/24. Let w(o) = -3*o**2 - o**2 + 2*o**2. Let x(c) = n*w(c) + 2*h(c). Calculate x(f(g)).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -21*c**2 - 2164*c - 111. Calculate v(-103).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3\/5 + 370498*t**2\/5 + 17156928638*t\/5 - 154442369538\/5.\nAnswer: 2*(t - 9)*(t + 92629)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = z - 75. List the prime factors of z.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 652062.\nAnswer: 2, 3, 108677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 8*q**3 - 2*q**2 + q - 1. Give f(2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 910794*k**2 - 1821599*k**2 + 910781*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/188 and -93\/24722.\nAnswer: 49444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 1 - 0\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-566 - -8) + 3 + 3. Is r < -552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 311742.6 + -97.2.\nAnswer: 311645.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 254477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2*p**3 - p**2 - 4*p - 8. Let v be d(-3). Suppose -3*x + v = 37. Calculate the greatest common divisor of 20 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 26, 1\/5, -9\/25, 5, -3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.10498 to three decimal places.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31.5 - 332.5. Let q = h - -305. What is the third smallest value in 2\/29, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 85*a**3 - a**2 + a - 1. Let l(j) = j**2 + 14*j + 14. Let h be l(-13). Is 13 a factor of g(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/4*6000\/(-1600)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 11162827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1789283149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cehpcqhccq. What is prob of sequence hhqc?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10683?\nAnswer: 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 1)*(4*n**5 - 19*n**5 - n**5).\nAnswer: -16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-2*-3*(-2*sqrt(204)*3 + sqrt(204) - sqrt(204)))\/((-1*2*sqrt(144))\/(sqrt(12) + (sqrt(12) + sqrt(12)*2)*5)).\nAnswer: -2 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 5*d - 1015, 0*i - 2*i + 3*d + 491 = 0. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*b + 71, b + 3*x + 6 - 24 = 0. What is the remainder when 57 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3369562842 divided by -3\nAnswer: -1123187614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 8*u**6\/3 - 76*u**5\/5 + 24*u**4 + 28*u**3\/3 - 56*u**2 + 48*u + 34. Suppose i(x) = 0. Calculate x.\nAnswer: -1, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27150 - -38025. Is 34 + t - (-2 + 8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 39.7 + -39.7000464. What is g rounded to 6 dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**3 + 2*h**3 + h**3 - 6*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 153 in -1\/6, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/194416 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180) - (sqrt(180) + -1 + sqrt(180) + 2 - sqrt(180)))**2*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*f = -6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -16*y**2 + 14*y - 82. Calculate r(-12).\nAnswer: -2554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*c - 4*c + 216 = -6*b, -26776*b + 26774*b - 4*c = 58 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9.13 + 9. Let p = 0.03 + k. Let h = -233\/78 - -17\/6. Which is the closest to p?  (a) 2  (b) h  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 6*x**2 - 2*x - 6. Let q be t(-6). Suppose u = -0*u - 82. Let n = -34 - u. Calculate the greatest common divisor of n and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ubnnnnu. What is prob of sequence buun?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**1)\/(k\/((k**(-1\/2)*k)\/k)))\/(k**(-1)\/k*k*k**5)*(k**(-2)\/k**(-2\/5))**25 assuming k is positive.\nAnswer: k**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.325 - -2.21?\nAnswer: 0.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5)\/(180\/8) + (-39)\/(-54). Let j = -22 + 25. What is the smallest value in 0.1, j, 1.3, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1294212*l**2 + 0*l + 0*l - 1302355*l**2 to p*l + a*l**2 + k and give a.\nAnswer: -8143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -600879 - 31445.51.\nAnswer: -632324.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 28*l - 30*l. Let b(z) = z**2 + 9*z - 1. Let r be b(l). Let x = r - 115. List the prime factors of x.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, 0.1, 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 5, v: 1, y: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 15*h - 2. Let q be (-365)\/(-90) - 4 - 3621\/(-918). Let o(k) = 30*k - 4. Calculate q*o(u) - 7*f(u).\nAnswer: 15*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1655, -0.09, -14, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 PM and 11:15 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12\/5?  (a) 134.32  (b) -1  (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 14. Let y(l) = -9*l**2 - 4*l + 5. Let m(p) = 5*p**2 + 2*p - 3. Determine z*m(t) - 4*y(t).\nAnswer: t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 24\/(-72)*(-78)\/4*88\/286. Let l(b) = -4*b. Let t(c) = -c. What is o*l(k) - 9*t(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11102 - -101?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2021 (base 9) in base 15?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fdqafaaa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 4\/41  (b) -5  (c) -2\/21  (d) 6  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2754839\/335 - (-7)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 PM and 5:30 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i, 1 z, and 1 q when four letters picked without replacement from {z: 1, v: 2, f: 3, i: 2, q: 4}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 221659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + l = -3*l - 20, -l = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 l, and 1 t when three letters picked without replacement from {b: 4, l: 1, j: 6, h: 1, v: 2, t: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 44520926 divided by 3\nAnswer: 44520926\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 10 = -3*i. Suppose -z + 2 = -i*z. What is the remainder when 2 is divided by -2 + 4 - 0\/z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -202.93 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -2bba99?\nAnswer: 2bba96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 90983, 90975, 90967?\n\"Answer: -8*u + 90991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 16246764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*m + 4912 - 4920, -c - 21 = 4*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 54437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from {z: 4, y: 1, o: 3, a: 1, f: 9}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/6*(90\/12)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6014145 minutes in milliseconds?\nAnswer: 36084.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*i**6 - 123984*i**4 + 5720893*i**2 wrt i.\nAnswer: 600*i**3 - 2975616*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 12. Solve -6 = -k + 3*k, 5*l - 1 = -c*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -284*f + 1332 - 3007 = 3721 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m**3 + m + 2. Let b be 8*(-1)\/(-2)*-1 - -2. Let s(d) be the third derivative of d**3\/6 + 2*d**2. Calculate b*s(p) + w(p).\nAnswer: 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 130373772 and 130373772.\nAnswer: 130373772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of 2*i**5\/5 - i**2. Let b(q) = -37*q**2 - 6*q + 6. Let x(o) = 31*o**2 + 5*o - 5. Let f(s) = -5*b(s) - 6*x(s). What is f(l(z))?\nAnswer: -576*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 18115 times -0.4\nAnswer: -7246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1990\/7 or 284?\nAnswer: 1990\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 PM and 3:57 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -10*z - 8. Let m(v) = v + 1. Let f(q) = -8*m(q) - w(q). Give f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*d - 490.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8466 and 1020.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/3 and 3\/15 - (-126)\/(-80).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*h + 1434 - 2046 = 39*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/25512 and 40\/117993?\nAnswer: 943944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 16866?\nAnswer: 33732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 2*g - 15. Let h = 2 + 0. Let d(a) = -h + 2*a - a + 2*a. Give d(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*r + 289 = 271 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 109 + -122 + -6 + 1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/60 and 73\/980?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195*l = -97*r + 197*l + 368, 0 = 4*r + 2*l - 36. Solve 0*t**r - 6*t + 7\/2*t**3 - t**2 - 1\/2*t**5 + 4 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of r**8\/112 + r**7\/35 + r**6\/40 - 5*r**2. Factor t(u).\nAnswer: 3*u**3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -5*c - 2*c**2 + 2*c - 4*c**2 + 7*c**2. Let j be f(3). Let h = 4 + j. Solve 0 = -3*a - 3, 0 = -2*z + a - 1 + h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 96 + 2?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -77, -319, -727, -1307, -2065?\n\"Answer: -t**3 - 77*t**2 - 4*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2588 - 1187. Let i = r - 119087\/85. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of 23\/6*i**3 + 0 + 5*i + 0*i**2. Let n(v) be the second derivative of -v**3\/6 + 17*v. Give k(n(l)).\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 5.5. Let g = y - -2. Let q = -24 + 24.1. What is the nearest to 0.1 in q, g, 1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - g**2 - g. Let s(q) = 7*q**3 - 7*q**2 - 3*q + 1. Let y(x) = s(x) - 5*v(x). What is the units digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5010344.\nAnswer: 2, 31, 89, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u**5\/5 - 9*u**4 - 186*u**3\/5 - 144*u**2\/5 = 0.\nAnswer: -8, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.7 - 3. Let j = 577 - 573. Which is the fourth smallest value?  (a) j  (b) 3\/5  (c) w  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30 - -8. Suppose -z*a = -42*a + 8. Let s(h) = h + a*h - 5*h. Let k(b) = 19*b. What is s(k(v))?\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 2681 divide 32502295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5561 - 814 = -5*v. Calculate the highest common divisor of 75 and v.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 0 - 4)*(3*r - 2*r + 0*r) - r + r - r + r + 0*r + 0*r + 2069*r - 161388 + 161388.\nAnswer: 2071*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(27)\/(sqrt(9) - sqrt(36)) + sqrt(3) + 1 + sqrt(3) + -3).\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.4682528 minutes to days.\nAnswer: 0.00101962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 4, 19767 in descending order.\nAnswer: 19767, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of 6*y**2 + 2*y - y**4 + 1\/20*y**5 + 0 + 5\/3*y**3. What is the units digit of b(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3*t = 4*t + 3010. Which is greater: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 66 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 16095094 to the power of 1\/2, to the nearest integer?\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 5) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 281*q**2 + 10*q - q + 15*q - 24*q.\nAnswer: 281*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111111100001011 + -11?\nAnswer: -10111111100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.26 - 0.04. Let f = i + -3.7. Let u = 609 - 610. Which is the closest to u?  (a) f  (b) -5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 2, 3, -5\/63, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 5:52 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 27 divided by 7385\nAnswer: 27\/7385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + f + 3. Let r(s) = 1247*s**2 + 145*s + 435. What is 145*l(a) - r(a)?\nAnswer: -1102*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.05 - -1.97. Let x = 0.02 - o. Which is the smallest value?  (a) 3  (b) -0.2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 107, 460, 1047, 1868, 2923, 4212, 5735?\n\"Answer: 117*u**2 + 2*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 87 - 43. Let t = 57 + -33. Let f = s - t. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/2 + -3)*8\/(-3). Solve 16 = -0*d + s*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 4035*r**2 + 8047*r - 35. Calculate d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*n**3 + 8*n**3 - n**3)*(1 + 0 - 2) + 3*n**3 - 5*n**3 + 0*n**3 - 3*n**2.\nAnswer: -19*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 239 - 468 - 71*g + 234 as o + b*g and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 3 = 6*l - 4*h, 4*l + 4*h = 12. Let w be 2\/(-1)*9\/(-6). Is w < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7f4ac (base 16) to base 4.\nAnswer: 1333102230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + -12. Suppose 41 = 3*b + 4*t, z*b = b + 2*t + 29. Suppose 4*h + 8 = 5*u, 2*h - b = -u - 1. Solve 4*p + 28 = -2*l, -l + h = -3*p + 2*l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -70090 divided by -2241?\nAnswer: 70090\/2241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -1. Suppose t = -j - 12, t + q = -3*j - 17. Let g be 4\/3*(-60)\/j. Solve k + 4*o = 3*o + 7, -5*k + 4*o = g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8453 rounded to two decimal places?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1551, -6779, -15453, -27579, -43163, -62211, -84729?\n\"Answer: -s**3 - 1717*s**2 - 70*s + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111111010 (base 2) to base 7.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3551 - 3250 - (-1 + 161).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 - 3*i**2 - 3*i - 2. Suppose 5*y = y + 24. Calculate the smallest common multiple of y and b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -186*y**2. Let h(d) = 4 + 5*d + 7*d + 4*d - 15*d. Let x(w) = -6*w - 20. Let b(t) = 5*h(t) + x(t). What is b(f(n))?\nAnswer: 186*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uwwwwuun. Give prob of picking 3 u and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-33))\/((-181594)\/(-58751))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 0. Let g = 5 - r. Suppose 308*w = 298*w + 20. Solve 1 = -w*l - g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 130992 times -0.2\nAnswer: -26198.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 4*w**2 - 4*w + 7. Let a be c(-5). What is y in a*y**2 + 0*y**3 - 5*y**4 - y + 0*y**3 + y**5 + 3*y**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-18)\/(-3) + -1*2. Let q be z\/18 - (-626)\/18. What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5*k = -10 - 7, -8 = -t + 2*k. Let l = -9 - -16. Calculate the remainder when 0 + (-9)\/t*-50 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 126, 178, 2.\nAnswer: 2, 3, 126, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 108331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + p = 1 - 3, 4*z - 14 = -2*p. Suppose 10*o - z*o = 406. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.09 - 0.13. What is j rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 - 3 = 4*v. Suppose 0 = 4*u - 3*g + 2, -2*u + 3*g = 4*g + v. What is the units digit of (-3)\/u*308\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 3*m = 5. Let q = 7 + m. Suppose 3*u + 3*a = 36, 2*u - 42 = q*a - 6. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 221\/12 + -2909\/156. Sort 2, 14, y, -4 in decreasing order.\nAnswer: 14, 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.920529 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 96 and 25666296?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*y = 5*d - 44*y - 9240, 5*d + 5*y - 9280 = 0. Does 49 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/67 in 4, 177, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n - 44. Determine x(16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -149332 - -746682\/5. Factor 2*h + 6\/5 + 6\/5*h**3 - a*h**2.\nAnswer: 2*(h - 3)*(h - 1)*(3*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2. Let v(x) = -30*x. Let t be 200\/(-35) + (-4)\/14. Let r(c) = -31*c. Let i(a) = t*r(a) + 5*v(a). Determine j(i(b)).\nAnswer: 1296*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3*(-2*1*sqrt(2057))**2 + (sqrt(2057)*-1)**2 + -5 + -3 + (sqrt(2057) + -1 - sqrt(2057))).\nAnswer: -26732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -243\/10 - -49\/2. Put 2\/7, y, 45 in descending order.\nAnswer: 45, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 6530451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -5*x**3 + 6. Let u(n) = -n**3 + 1. Suppose -5*c - 8 = 2*g + g, 4*c + 16 = -4*g. What is g*u(p) + i(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 - -25. Suppose w - d = -2*w. Suppose k = w*k - 33. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1921 less than 0.077?\nAnswer: -1920.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.134 + 0.024. Let g = p - -0.41. What is the fourth biggest value in g, 1\/43, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*o - 8 = -4*o - 8*z, -88*z = -4*o - 248 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 4 = -5*d, -2*k + 5*d + 0*d - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -11. Let w(y) be the first derivative of 1 + 1\/4*y**v + 3\/2*y**2 - 4\/3*y**3 + 0*y. What is w(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 113, 101, 97, 95, 89?\n\"Answer: -f**3 + 10*f**2 - 35*f + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 18, 31, 46?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -3*r - 1. Let y(f) = -210*f - 30. Calculate 60*h(p) - 2*y(p).\nAnswer: 240*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 827219959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - 1. Let g(w) = 3*w**2 - 19*w - 6. Let x be g(5). What is the units digit of (x\/8)\/(v\/88)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 8 = -4*a + 32, 2*y + 9 = 5*a. Suppose 3*h - 5*c + 9 = 0, 0*h = y*h - 2*c. Solve -6 = h*g + g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**3 - 44*g**2 + 48*g.\nAnswer: -4*g*(g - 1)*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -40, 7, -28.\nAnswer: -40, -28, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 72 - 75.7. Let o = k + 2.7. Let d = 2\/73 + -373\/292. Which is the nearest to 0.03?  (a) d  (b) o  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000008199 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1179 in -0.1, 1, -1\/3, -42614?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7992 by 119.\nAnswer: -7992\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -726 + -0.4?\nAnswer: -726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15337, 61112, 137383, 244150, 381413?\nAnswer: 549172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/21 + 3 + (-70)\/(-49). Let v(i) = i - 1. Let l be v(4). Solve 2*n = 3*r - 7, 5*n - g*r + 1 = -l*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2799)\/(-19593)*1\/1*-5.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -278017.23 times 0.5\nAnswer: -139008.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**(10\/7)*a*(a**(-19)\/a)\/a*(a\/a**(1\/6))\/a**(-32) assuming a is positive.\nAnswer: a**(641\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - 60\/(-22) - (-3 + 0)) + 24165\/1485.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -16 + 16 + 5*t**4 + t**4 + 0*t**2 + 0*t**2 + (-5 - 1 - 6)*(-20*t**4 + 30*t**4 + 10*t**4) as w + f*t + h*t**2 + p*t**4 + c*t**3 and give p.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18591, 18615, 18661, 18741, 18867, 19051?\nAnswer: 19305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 4*b - 84, 2*b - 2*m - 55 = -13. What is the remainder when 240 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 - 33*f**2 + 63*f + 155. Let k be c(-35). Let b = k + 1203. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -418 + 432. Let y = 6 + -10. Let i(g) = 7*g**2 - 2*g. Let z(p) = 22*p**2 - 7*p. Let w(d) = q*i(d) + y*z(d). Let j(u) = -4*u. Determine w(j(k)).\nAnswer: 160*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -116737 (base 8) to base 4.\nAnswer: -21313133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16170835 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7898791, 15797580, 23696369, 31595158, 39493947?\nAnswer: 47392736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, d: 7}. Give prob of picking 1 t and 1 d.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of z**4\/3 - 1079*z + 2. Let r(c) = -22*c**2 + 1. Let o(j) = j**2 - 1. Let m(t) = -2*o(t) - 2*r(t). Give k(m(y)).\nAnswer: 7056*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3328 = -56*k - 62*k + 14*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (189\/14)\/9*16. Calculate the greatest common divisor of 132 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rgog. What is prob of picking 1 g and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1828*u - 53680 + 4108 = 257987 - 44327 for u.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-38)\/(-14) - (-14)\/245*5. Suppose -6*b = q - a*b - 3, 3 = q + 5*b. Find t, given that 16\/7 + 12\/7*t**2 - 2\/7*t**q - 24\/7*t = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvk when three letters picked without replacement from vvk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -f + 89*f**3 + 772*f**2 + 843*f**2 - 1532*f**2 wrt f.\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 4683 = -10*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 618 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1741*z = -1750*z + 70659. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 151 - 127. What is the smallest common multiple of b and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0732 + 1.9268. What is the second biggest value in -0.64, n, -2, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, g: 3}. What is prob of sequence gege?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -754, -4, -2.\nAnswer: -754, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + -3 + 96\/12. Let j be (14\/36 + 90\/(-405))\/(7\/(-4)). What is the biggest value in j, 2\/15, 0.13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9539 less than 4?\nAnswer: 3.0461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 152.753 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b + 0 - 5 + 5 + 3 + 5*b. Let n(m) = m. Determine -4*n(t) + r(t).\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2767*p + 21*p**3 - 106*p**2 - 3367*p + 600*p + 106*p**2.\nAnswer: 21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 + 8. Let m be 2*(11 - (-1136)\/(-104)). What is the closest to -0.2 in -70, 2, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 - 4*q - 2. Let i be k(-4). Let r be 1*i + 54*(-5)\/(-10). Calculate the greatest common factor of r and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r - 121 + 131 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s = 5*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/18 - (-4981)\/(-1368). Let p be ((-4)\/6)\/(152\/104). Let a = p + f. Calculate the common denominator of a and 27\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 807275*q**3 + 180*q**2 + 453*q - 150153.\nAnswer: 4843650*q + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44*243\/(-24057)*9*-5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14577*a**3*l**3 - 136*a**2*l**3 - 14*a**2*l**2 wrt a?\nAnswer: -87462*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16 by 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*c**3 - 41 + 16 + 2*c**2 + 6 + 12 wrt c?\nAnswer: 6*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/(-56) - 0)\/((333\/(-21))\/3 - -5). Find k such that -9\/4*k - v - 15\/8*k**2 = 0.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*h - 120 - 210 = 170 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22262247\/16 + 1391853. Let b = -465 + n. What is the common denominator of b and -59\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4*53\/4 + 8. What is the fourth biggest value in v, 3, 1\/4, 2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of i**6\/30 + 4*i**5\/5 + 66*i - 44. Let l(v) be the first derivative of d(v). Factor l(g).\nAnswer: g**3*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 692790.5 kilograms to nanograms.\nAnswer: 692790500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-40)\/(-4) - 3 - 4. Suppose m*l = l + 10. Solve 5*r + 33 = -2*p + 4, 3*r - 5*p = -l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(2\/11)*h)**(-47)*h*h*h**(2\/11)*h**(-33) assuming h is positive.\nAnswer: h**(-1467\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = -5*b + 4*u + 29, -3*b = 3*u - 93. Suppose -b = -v + 14. Calculate the greatest common factor of v and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 2\/2 + (-5456)\/(-544) + -12?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/953 - 16213\/5718. Let w(f) = -f**2 + 5*f + 13. Let x be w(6). Let q = x - 24. Find the common denominator of z and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c + 27. What is the lowest common multiple of l(17) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-26)\/5 - 7\/(-35). Put 4, 2, a in increasing order.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -3*x**2 + 1189*x - 11773. Determine a(10).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/4759 + -5905916\/14277. Let t(n) = -70*n + 2. Let u be t(6). Let x = u - v. Which is greater: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 + y + 1. Let i(g) be the first derivative of 31*g**4\/4 - 155*g**3\/3 + 155*g**2\/2 + 155*g + 1169. Calculate -i(a) + 155*q(a).\nAnswer: -31*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -18 - (11 + -2 + -9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14102, -14100, -14098?\nAnswer: -14096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80485619.\nAnswer: 37, 569, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oduooroiu. Give prob of picking 1 r, 1 i, and 1 u.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 1279.8?\nAnswer: -127.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 17*p**2 + 5. Let a be m(-17). Solve a*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 7 = 4*f - 5, -4*f + 5*r = 20. Let l be (32\/(-6))\/(-4)*18. Suppose 3*q + q - l = f. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12727200 by -5303.\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 57 - 52. Is -1 - ((-8)\/o)\/(14\/32025) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*b - 11*b + 28. Solve 5*h + b = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4772, -4729, -4614, -4391, -4024, -3477?\nAnswer: -2714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1872))*-5 + sqrt(1872) + sqrt(1872) + (sqrt(1872) + (0 + sqrt(1872) + 5 + sqrt(1872) - sqrt(1872)))**2.\nAnswer: 204*sqrt(13) + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 62209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3010 = 14*v - 7*v. Let h = 1825 + -1813. Calculate the remainder when v is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -3267123?\nAnswer: 3267122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 + -18 + 10)\/((-1)\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 - 8\/6 - (-218)\/(-3). Let r = -52 - q. Calculate the remainder when r is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 3 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 733138 by -18.\nAnswer: -366569\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*h + 4*h - 4*h)*(-1 - 1 + 4) in the form n*h + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2*g**3 + 260*g**2 - 5*g + 536. What is l(130)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -12121036 <= -12121006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2784 (base 9) to base 14.\nAnswer: -aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1337 - 1292. Calculate the least common multiple of i and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 4:16 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3\/1067 - -980\/30943. Which is the smallest value?  (a) k  (b) 0.3  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 + 14 = -9*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.9018 - 0.9. Round w to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 + 13*k + 3. Let f be y(13). Suppose -2*q + 33 = -5*a + 9, -f*q + 36 = 3*a. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -180, -283, -386, -489?\n\"Answer: -103*p - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - 3. Let p = -4 - c. Suppose p*n = 2*q - 6, 0 = -3*n - q + 6 - 3. Solve n*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(-3)\/(-3) - -6. Suppose -m = -1, c - 3*m = h*c - 19. Let j(a) = a**3 - 4*a**2 + 3*a - 6. Calculate the remainder when 17 is divided by j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -473*r - 2294. Is b(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.1  (b) -0.5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1006415 by -31.\nAnswer: -32465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 3*k**3 - 2*k**2 - k + 3. Calculate r(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 496\/3 + -165. What is the smallest value in 3, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 10:17 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*b - 5*q, -2*q + 7*q = -b - 23. Let n be 1\/b*(-1 + 4). What is the fourth smallest value in 2\/11, 0.2, 1\/3, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 680644142 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 75 - 69. Let l(p) = 2*p**2 - 11*p + 26. Is l(h) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15105 is divided by 166.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31 - -39. Let v be (-16)\/x + 2 + -1. Which is smaller: v or 7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-134)\/(-6) - 4\/12. Suppose g - 18 = 3*o - 2*g, g - a = 5*o. Let x be (-3*o\/(-45))\/2. Is x less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303513523 to the power of 1\/3, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2263 = 4*u, 0 = -5*g - 2*u + 393 + 1858. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*p**2 + 186*p - 186*p + 78*p**2 + 16*p**2.\nAnswer: 168*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.063  (b) 0.06  (c) 4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (w - w**2 - w)*(-w + 4*w + 0*w) + 3*w**3 + 0*w**3 - 2*w**3 - 6*w**3 - 3*w**3 - 9*w**3 in the form n*w**3 + x*w + d*w**2 + b and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 3641327730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/3*3)\/(-2). Suppose -t + 8 = 2*g. Suppose 5*d = -5*b + 20, b - g*d = -3*b + 2. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-14)\/105 + 3\/(-45). Which is the fourth smallest value?  (a) 3  (b) 4\/7  (c) t  (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**12\/(i*(i\/(i*i**(7\/2)*i))\/i))\/((i**(-23)*i)\/(i**(-2\/33)\/i)) assuming i is positive.\nAnswer: i**(2471\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1609 + 1874. What are the prime factors of l?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101111110110110 (base 2) to base 16.\nAnswer: -5fb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 13*j - 106. Let u be n(9). Suppose -u*o - 15*o + 15470 = 0. Is o a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.09514 + 0.11081. What is k rounded to 3 dps?\nAnswer: 0.206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 683  (b) -2\/205  (c) 10.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 9456 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 310.148mm?\nAnswer: 0.310148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 268?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, y: 1, j: 2, t: 4, d: 6, n: 3}. Give prob of picking 2 j and 2 t.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*d**3 - 28*d**3 + 49*d**3)*(5*d + 4*d**2 - 5*d).\nAnswer: 52*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -279*i + 336 = -263*i. Suppose 4*g - q = 181, -2*q - 23 + i = 0. Calculate the smallest common multiple of 90 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (19\/1026)\/(2*14\/(-224))?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 - 25. Sort 2\/19, q, -1 in descending order.\nAnswer: 2\/19, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1166016 + -678155. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.062 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 50 = -5*n, 0 = -y - y + 3*n + 14. Calculate the least common multiple of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2. Let l(y) = 493394941*y - 1. Give l(w(i)).\nAnswer: 493394941*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-14)*l\/(l**7\/l)*l assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1394130787 - 5?\nAnswer: -1394130792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00413150516 rounded to six dps?\nAnswer: -0.004132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011110 (base 2) to base 12.\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, v: 3}. What is prob of sequence qv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 24930 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 2*h = -366. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 40\/16*(-58)\/(-203)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -43176548 times -0.9\nAnswer: 38858893.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 5*j**2 - 2*j - 1. Let s be q(-1). Let f(b) = -b + 7. Let w be f(s). Solve l + 4 - w = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 6:48 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 144 = 2*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1363*c + 1269*c + 115244. Is 64 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -x**4\/4 + 89*x**3\/2 - 8585*x**2\/4 + 14450*x = 0.\nAnswer: 0, 8, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -7. Suppose -4*o + z = -8, x*z - 17 = o - z. Suppose -246 = o*r + 2*g + 194, 2*r + 2*g = -296. What is r rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16 in 0.046, -0.05, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1493 (base 16) to base 12\nAnswer: 306b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -3, -13, -23655?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 5:30 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -7679 divided by -263?\nAnswer: 7679\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -65 + 63.45. Let w = 2 + b. Let x = w + -7.65. Round x to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 + 15. Let q be (-2)\/a + (-3920)\/42. Let p = q - -184. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1467*u - 48 = 1479*u. Put u, -2\/87, 2\/9, -1 in decreasing order.\nAnswer: 2\/9, -2\/87, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14?  (a) -2  (b) 2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/3 and 91\/276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -2*f**2 + 21*f - 13. Let m be q(10). Let l(d) = -2*d. Determine l(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -134 - -1?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000 + 111110111100101000001011110?\nAnswer: 111110111100101000001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 6*y = 15, 5*t + y - 25 = 0. Suppose x = t*r - 14219, 0 = x + 3. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*y = 249*y - 1066878. List the prime factors of y.\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -72 + 49. Is -24 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + 3 - sqrt(5)) + (sqrt(125) + 3)**2 + sqrt(125).\nAnswer: 35*sqrt(5) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 18e + -7ae?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -16, -37, -62, -91?\n\"Answer: -2*h**2 - 15*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:23 AM and 12:57 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -15*s**2 + 0*s**2 - 6*s - 3*s**2 - 3 + 4*s**2. Does 26 divide w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + 3*w**2 - 3*w - 5. Let x be s(-3). Let f = 16 - x. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 81 = 5*g, 0 = g - 3*o - 0 - 9. Suppose 6*d - 3*d + 93 = x, 0 = d. Suppose 0 = 3*l - 24 - x. Calculate the remainder when l is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 + 6*o - 3. Determine a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1223*(6\/(-3) - -57). Let n = m - 38265. What is n rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -1, -9, 21, -5, -30 in descending order.\nAnswer: 21, -1, -5, -9, -10, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2109435661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**5\/40 - 7*h**3\/3 + 8*h. Let a(w) be the second derivative of d(w). Let y(q) = -3*q**2. Determine a(y(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/3)\/(t\/(t*t\/((t\/t**(4\/3))\/t))*t))**10 assuming t is positive.\nAnswer: t**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 373.314 and -170.\nAnswer: -63463.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/54 and -125\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*d + 4*b - 20, d + 20 = 2*d + 4*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - 3*v**2 + 3*v + 1. Let r be f(-4). Let p = r - 0. Let n(h) = -h**3 + 5*h**2 + 3. Let d be n(p). Solve -1 = 4*b - d*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 42\/(-28)*13530\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -315 + 177. Which is smaller: c or -137?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - 1.09. Let z = -0.04 - k. Let r = -0.05 + z. Sort 2\/11, r, 5 in increasing order.\nAnswer: r, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 167 - 162. Suppose 0 = -f*s + 20, 0 = -o - o - 2*s + 92. Calculate the greatest common factor of o and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -6 + 26, -4*s - 5*p = 53. Let d(k) = -k**3 - 7*k**2 - k - 3. What are the prime factors of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {i: 1, y: 1, z: 3, v: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + g + 18 + 53 = 0, -2*g = -10. Suppose 0 = 3*i - c + 8. Let w(n) = -10*n + 20. Let m be w(-14). Calculate the greatest common factor of m and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -194 - 20912*j + 10451*j + 10462*j + 8*j**2 to l*j**2 + z + i*j and give z.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/7  (b) 2  (c) -1529\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 485842681?\nAnswer: 43, 347, 32561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**3\/11 + 5600414*m**2\/11 + 3920565620352*m\/11 - 19602968112360\/11 = 0. What is m?\nAnswer: -1400106, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1961665029?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -58.45 and 19?\nAnswer: 77.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 186 = 3*i, 5*i - 3*v = -v + 303. Let r = 4 - -1. Suppose i = 4*q + r. Calculate the smallest common multiple of q and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 + 9*z - 29. Let i(r) = r + 1. Let y(a) = -4*i(a) - w(a). What is the remainder when y(-13) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9606 or -0.3?\nAnswer: -9606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 106 + -106. Let u be -60*((-1 - 0) + g\/6). Suppose -3*a = a - 4*x - 36, -5*a = -2*x - u. What is the remainder when 109 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -11 - 10. Do 5 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -220 + 220. Suppose -6*g + g + 240 = z. What is g rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10470932891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 702873  (b) -4  (c) -3  (d) -5  (e) 1  (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1155*r**5 - 157044*r**4 + 840375*r**3 + 2500374*r**2 + 1845672*r + 343872 = 0 for r.\nAnswer: -1, -2\/7, 8, 7164\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.04 and -291297.\nAnswer: -291297.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbbq when four letters picked without replacement from {e: 3, q: 1, g: 5, b: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -5*h**2 - 18*h**2 - 1 + 22*h**2 + 3*h. What is x(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113806742599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*r - r + 0*r)*(2255*r**2 - 44*r**3 - 2255*r**2) to j*r**2 + n*r + p*r**3 + t + o*r**4 and give o.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 46662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -16.5, -3, -0.42, 2\/7, 45, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104628 is divided by 872.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1 + 1)\/(-3))\/2. Suppose 0*m - 2*m - 6 = p. Let k(g) = g**2 + 3*g + 3. Calculate k(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y = -63 + 93 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41937 and 518411215?\nAnswer: 13979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6\/(-4) - (-412)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 200, -19632, -10 in decreasing order.\nAnswer: 200, -10, -19632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, c: 7, s: 9}. Give prob of picking 3 c and 1 s.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1645 - -1644.999993095. What is s rounded to 7 dps?\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*d - 61*d - 4*d = -880. Solve d*t - 311 = -319 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 344370791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 812 and 2914964.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 24 + 6. Suppose 5*f - r + 18 = -4*x, 4 = -4*x - 3*f. What is the second derivative of 4*s**2 - s**2 + 3*s - 2*s**x + s**2 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q\/q**(-2\/5)*q))**(42\/5)\/((q*q\/((q\/(q*q**0*q))\/q*q))\/(q**(1\/11)\/q)))\/((q*q\/(q\/q**(-3)*q)*q*q*q)**(-47))**(-1\/16) assuming q is positive.\nAnswer: q**(-1999\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p + 56. What is f(-25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -5 + (3 + (sqrt(648) - (1*sqrt(648) - sqrt(648))))**2.\nAnswer: 108*sqrt(2) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 PM and 3:56 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*c - g - 6 - 30 = -0*g + 12, 11*g = 4*c + 280 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -2\/21929, 15\/4, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 10, 5, 117 in increasing order.\nAnswer: 2\/9, 5, 10, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -2.1, -0.4, 131, -2, 39 in descending order.\nAnswer: 131, 39, -0.4, -0.5, -2, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - 1) + (-3 - -89) + -97?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b*q**5 - 11*b*q**3 - b*q - 37*q wrt q?\nAnswer: 20*b*q**3 - 66*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 16 = -2*p, 0*g = g + 5*p - 2. Calculate the common denominator of 2\/((-304)\/(-940)) - g and ((-3)\/8)\/((-3)\/58).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**5 + 13111130*f**4 + 81427*f**2 + 5*f - 6.\nAnswer: 60*f**2 + 314667120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9520*s - 277428?\nAnswer: 9520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 125644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of 17*b**5\/60 - 4*b**2. Let g(x) = 2*x**2. What is h(g(u))?\nAnswer: 68*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**2 - 19*f + 5. Let z be p(-9). Let q = z - 12. Factor -4*h**3 - h**2 - 3*h**q + h**5 - 2*h**4 + 3*h**5 + 6*h**4.\nAnswer: 4*h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/15)\/(-1))\/(2\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = u + u. Suppose u*n - 5*g - 28 = 0, -5*n + 4*g + 17 = -21. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1112)\/(-10842))\/(1\/3).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-704)\/(-33))\/(-4)*9\/3*2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 2 - (17 - 16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18227334.\nAnswer: 2, 3, 3037889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1023.62 - 1033. Let t = q + -0.52. Let s = t - -9.89895. What is s rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18171594?\nAnswer: 2, 3, 7, 48073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/(-16)*(105 - -1). Suppose -j + 215 = 9*t. Calculate the remainder when 70 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 12 = -q, -x = -2*q - 12. Solve 4*w + 6 = -x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 6 = -3*f, l - 4 = -f + 2*l. Let h(a) = -40000*a**3 - a + 1. Let u be h(f). Round u to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 3*g + 6 = 30, -5*g - 20 = -c. Let q be (-1 - -2)\/(c\/(-2)). Sort 3, q, -7 in descending order.\nAnswer: 3, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -93 divided by 3\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -16047, -1\/7, 1.6, -0.01 in descending order.\nAnswer: 1.6, -0.01, -1\/7, -5, -16047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13339859 is divided by 2667860.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 3 = 3*q + 7, 2*z + q + 3 = 0. Let f = 1 + z. Solve -c + 2*w = -2 - 0, -4*c = -f*w + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - 31*o + 3. Let k be f(31). Let s(i) = -2*i**2 + i**3 + 0*i**k - i + 0*i**3 - i**2 + 1 + 6*i**2. Give s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 + 15. Let p be 8\/(-12)*j\/(-2). Suppose 0 = -3*w - w - 4. Is p at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-380)\/396 - -1) + (-6)\/27. Let c = -13 + 51\/4. What is the closest to -2\/7 in i, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 4*f + 1 = -9, 0 = -5*f - 5. Let u(n) = 5*n + w - 2. Let j(y) = -2118399*y - 44 + 44 + 2118405*y. Determine j(u(z)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 4:08 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*k - 5*h = 20*k + 157, -2*h = -2*k + 172. Solve 2*o = -2*p + k - 87, -35 = -4*p + 5*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21757142.\nAnswer: 2, 11, 41, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 542.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -32 in -1.3, -5, -0.3, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1020765310.\nAnswer: 2, 5, 19, 5372449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 - 12*k - 15. Let f be q(-6). Let s = 64 - 41. Suppose -s*o + 140 = -f*o. Calculate the highest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3264 and 24803.\nAnswer: 4762176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2570 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.54 + -0.7. Let r = 0.2 + j. Let g = r + -0.03995. What is g rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 23710.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.331886299 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 10:27 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + 1)*(-1 - 12)\/1. Suppose 0*n + n + 3*l + 3 = 0, 0 = 3*n - l - 21. Solve -4*z + n - k = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1008\/11 - -93. What is the common denominator of q and 183\/(-24) + (-4 - 0) + 3?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2973 or 2963?\nAnswer: 2973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.5 + 0. Let v = -224 + 232. Let t = -23\/30 - -1\/10. Which is the nearest to t?  (a) 0.2  (b) v  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 835 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 2 = -4*y, 2*y = -2*q + 42. Suppose 0 = -4*d - 4*w + 28, -d + w + w = -q. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 divided by 2.\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 592908949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of h**4\/4 + 2*h**3 - 7*h**2\/2 + 78*h - 179. Let d be r(-8). Solve 5*u + d = 7*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34 + 37 + 11 + (-1 - 5) + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4010404366 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 216 and 2761404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7  (b) 115.6  (c) -0.4  (d) -1  (e) 4  (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of -3*p**7\/7 + 641*p**6\/6 + p**3\/3 - 11*p**2\/2 + 102*p - 1773. What is the third derivative of o(f) wrt f?\nAnswer: -360*f**3 + 38460*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/(-6))\/((-18)\/(-162)). Suppose -w*m = -7*m - 30. What is the remainder when 29 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(((-4472)\/(-16))\/(-43))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*c = -5*c + 166 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10853\/462 + 556\/33. Find the common denominator of 50\/(-24) - (-3)\/(-4) and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125456?\nAnswer: 2, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 1)*(15*d**2 + 11*d**2 + 5*d**2) - 11*d - 4*d**2 - 7*d + 15*d.\nAnswer: 120*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3872 is divided by 120?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 9203*y**2 + 6*y - y + 44*y + 6*y + 10*y + 78. Let x be b(-33). What is x rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 454 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -5, -0.132, 23, -1?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -46, -22, 24, 92, 182, 294, 428?\n\"Answer: 11*h**2 - 9*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1786294 is divided by 3080.\nAnswer: 2974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -39 divided by -3746965\nAnswer: 39\/3746965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 52237935 to the power of 1\/2, to the nearest integer?\nAnswer: 7228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m - 8*z + 4*z - 16, 19 = m - 5*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 355*m**2 - 3*m**5 - 3*m + m + 0*m + 6*m**4 - 361*m**2 wrt m?\nAnswer: -180*m**2 + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dfmssfosftd. What is prob of sequence dd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.087 - 0.087. Sort -5, -3\/5, 0.16, q.\nAnswer: -5, -3\/5, q, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, h: 3, x: 1, p: 2}. What is prob of sequence pm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of -a**6\/120 + a**5\/5 + 7*a**4\/12 - 13*a**3\/6 + 22*a**2. Let i be v(13). Find d, given that 0*d + 3\/2*d**2 + i + 3\/2*d**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48674387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/4)\/((-6)\/12*1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6805844*w - 10547915 wrt w.\nAnswer: -6805844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - m + 11 = 0, 2*c + 5*m + 18 = 47 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-213)\/(-355))\/((-6)\/8).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 AM and 3:33 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6 + f**4 + 17*f**4 + 5 with respect to f.\nAnswer: 72*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -431, -5, -1\/3 in increasing order.\nAnswer: -431, -5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3564, 3478, 3356, 3180, 2932?\nAnswer: 2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7142 = -2*p + 4*y - 1480, -8 = -4*y. Calculate the highest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 27*r**2 - r - 7. Let i be t(-27). Let p be 25\/4 + 1\/(-4). Suppose 0 = p*z - z - i. Solve j = -0*j + z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1240960 - 2*l - 1240960.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2218297 from 0.03837.\nAnswer: 2218297.03837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l**3 - 3*l**2 - 5*l + 7. Calculate x(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 3 = 7, 0 = 3*o + 4*n - 52. Let q(p) = -p**2 + 18*p + 1. Let z be q(11). What is the remainder when (0 - (0 + -3))\/(2\/z) is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x - 1. Let m = -1 + 0. Let z(u) = -u + 25. Let j(h) = 11*h - 146. Let c(i) = j(i) + 6*z(i). Determine m*c(d) - 2*s(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1507410625?\nAnswer: 5, 7, 127, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -3*x - 2. Let a = 6 - 3. Suppose 5*q - a - 2 = 0. Calculate the lowest common multiple of x and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16399 is divided by 193?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 11:39 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 20, 81, 198, 389, 672, 1065, 1586?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -2*s. Let t(b) = 114*b. Give g(t(m)).\nAnswer: -228*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23585, 189329, 639199, 1515257, 2959565, 5114185, 8121179?\nAnswer: 12122609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + i. Let r = 0.15127 + 0.14873. Which is the third smallest value?  (a) r  (b) i  (c) -0.5  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 9*u + 3*u - 4*u. Let s be l(1). Calculate the highest common divisor of s and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 517 and 518 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 8*u - 105 = 0. Suppose 5 = -3*d + 2*w, -d + 3*w + 4 = u. Let q be 0 - 6\/3 - -6. Calculate the highest common factor of d and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/15 less than 7552326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 492884 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11687657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*h + 0*h**2 + 0*h**2 + 13*h**3 - 2 - 593*h**3.\nAnswer: -580*h**3 - 44*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 378739?\nAnswer: 378739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94829?\nAnswer: 7, 19, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -3 - (6 - (11 + -8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 148*a**3 - 76*a**3 - 73*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 69\/9 - 5\/(-15). Let o(l) = l**2 - 8*l + 2. Let q be o(y). Suppose 5*m = 22 - q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -26887 and -376.132683.\nAnswer: -27263.132683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 528 and 908193.\nAnswer: 14531088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1391762884.\nAnswer: 2, 347940721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -1 + -7 + 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*p - 38*p - 34*p.\nAnswer: -50*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 48*b**3 + 10*b**2 + 4*b**5 - 15*b**2 + 8*b + 26*b**4 + 39*b**2 = 0?\nAnswer: -4, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 266 and (-2)\/13 - 9890\/(-65).\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.67945 and -11891241.\nAnswer: -11891241.67945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2521502453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 48 - 26. Suppose 5*r - 2*r = -2*i - 2, -2*r = i + 1. What is the remainder when c is divided by 2 + (r - 0) - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 456 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 15 + 3 = 5*c, 0 = 4*q + c - 10. Solve -d + 4*h - 15 = 0, -d - q*h + 2 + 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -261*a + 64*a + 38*a + 50*a + 47*a + 58*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3767*w**3*y**2 + 3*w**3*y - 130206*w**3 + w*y**2 - 2*w - 17*y**2 wrt y.\nAnswer: -7534*w**3 + 2*w - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 743 + -736. Suppose -210 = v*s - 42*s. Solve c = s*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, 4, 0.1, -1328, -170.6, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/817 and 15\/31.\nAnswer: 25327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -37, -71, -119?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.4 - 6.4. Let k be 12\/(-32)*3684\/162. Let w = k - -70\/9. Which is the nearest to w?  (a) 1\/4  (b) -0.5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from {k: 2, y: 2, a: 6, n: 2, h: 4, w: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -3*k**5\/4 + 399*k**4\/4 - 4509*k**3\/4 - 578151*k**2\/4 - 1643166*k - 3667356 = 0.\nAnswer: -21, -11, -3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -44\/2093?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5634363276 + 5634363122.99999917. Let g = -54 - -207. Let v = s + g. Round v to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2880*z**3 - z**2 + 3*z + 15. Let y be t(-4). Let s be 2797838\/6 + (-4)\/(-6). Suppose -3*f - y = -s. Round f to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71859671 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-2)*n**(2\/9)*n*n**13\/(n\/(n\/(n\/(n\/((n**(-2)\/n)\/n)*n)))) assuming n is positive.\nAnswer: n**(155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 124 divide (-99)\/297*1*3 - -4837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 + 21. Is g at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 + -15)\/(((-2)\/8)\/(56\/4368))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 40\/780 + 470\/(-39)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -151 + 0*t + 158 - 3*t. Let x(n) = -2*n + 6. Give -3*r(d) + 4*x(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 6) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 47 + 59 = 3*q, 2214 = 2*q - 430*y for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i. Let n(o) = 35698*o**2. Determine n(q(x)).\nAnswer: 321282*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -24b449 + 83?\nAnswer: -24b386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/((p*p**6)\/p))\/p**(2\/11))**42*(p*p**(-3)*p)\/p**(1\/5)*p**(-2\/15)*p**(-1\/2) assuming p is positive.\nAnswer: p**(-14485\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82 + 243 - 78 - 85 + 88*s.\nAnswer: 88*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 54.3 - 54. Put 0.4, s, -9 in ascending order.\nAnswer: -9, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 5. Let u be ((-4)\/(-6))\/(3\/9). Let l(x) = x**2 + 16. Let q(m) = u*l(m) - 7*g(m). What is the derivative of q(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**4\/5 - 136*n**3\/5 + 1734*n**2\/5 - 7848*n\/5 + 11448\/5 = 0. What is n?\nAnswer: 3, 6, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40)\/500 - 89\/(-175)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 m, and 2 i when four letters picked without replacement from {u: 2, p: 2, b: 2, i: 7, m: 5}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4150 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-30)\/9)\/((-2)\/(-3)). Suppose -j = j - 4*d - 18, -15 = 3*d. Let s be 12\/u - (-3 - j). Which is the nearest to s?  (a) -2\/3  (b) 0  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3185 a factor of 20208825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39 - 150. Let u = 110.999836 + d. Round u to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3464 - -3466. Solve 4*w - 10 = l*w + 2*f, 3*w = -2*f + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-52 - (-9 - 78)) + -53.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 797, 5966, 19685, 46130, 89477, 153902, 243581, 362690?\n\"Answer: 696*a**3 + 99*a**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00008457328 rounded to 7 decimal places?\nAnswer: -0.0000846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 2936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*v - 78 = -22*v. What is the common denominator of (-45)\/(-6)*v\/18*1 and 61\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of q**5\/60 - 25*q**3\/6 + 170*q**2. Let i(w) = -25*w**2. Calculate o(i(a)).\nAnswer: 625*a**4 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -737254 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (-7 - -5) + -9 + 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-9) + (1092\/(-72) - -15). What is the closest to 0 in 1\/5, y, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = v + 886, -4*o - 9*v = -415 - 411. Let r = 10 + 6. Calculate the remainder when o is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7791, -15507, -23219, -30927, -38631, -46331?\n\"Answer: 2*b**2 - 7722*b - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10 or 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}