diff --git "a/data/dm_maths/full_data_1/2949_11255.jsonl" "b/data/dm_maths/full_data_1/2949_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2949_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Divide -471906 by -27.\nAnswer: 17478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19386898.\nAnswer: 2, 61, 158909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/3970 and -7\/17865?\nAnswer: 35730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 674362 - -451362. Let j = q + 404276. Round j to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253 by 11040.\nAnswer: 11\/480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-12) - (-3)\/(-12))*0. Suppose -v + 21 - 18 = t. Suppose 0 = 4*f - 3*r - 838 - 91, -698 = -v*f + r. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042817 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**7\/105 - j**6\/180 + j**5\/15 + j**4\/12 + j**3\/6 - 3*j**2. Let p(h) be the first derivative of y(h). Factor p(r).\nAnswer: -2*(r - 1)*(r + 1)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**4 + b**3. Let z(v) = 20*v**5 + 3*v**4 + 3*v**3 - 10*v**2 - 2*v + 16. Let w(r) = -3*g(r) + z(r). What is the second derivative of w(d) wrt d?\nAnswer: 400*d**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + (6 - 3))*0. Suppose f = -2*y + 10, p = 2*f + f - 4*y + 10. Suppose -8 = -f*x + 26. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 8*x - 35. What is the second derivative of 48*h - 61*h - x*h**5 + 2*h**5 - 7*h**5 wrt h?\nAnswer: -200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494274 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0 + 0*c**3 + 0*c - 4*c**2 - 7\/24*c**4. Let o(w) = -3*w. Calculate o(a(y)).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 2*g - 12330. What is the thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -739 + ca?\nAnswer: -64d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -226 and -452.\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 76.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 17*a**3 - a. Suppose 0*s + 5*s - 10 = 0, w - 2*s + 3 = 0. What is the least common multiple of y(w) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 3*h - 3. Let b be p(-5). Let r = -51 - b. Let s be (-8)\/r - (1 - (-20)\/(-3)). Solve -8 + 33 = s*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 2509?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.18763 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**(-19)))**(-5\/12)\/(y\/y**(-22)*y**14) assuming y is positive.\nAnswer: y**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10383.07 millilitres to litres.\nAnswer: 10.38307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187183 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17503810 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-24)\/20*(-145)\/58.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 10, -5, -3 in decreasing order.\nAnswer: 10, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/180 and -113\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 20. Let f = 30 - t. Solve 0 = f*l + l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 96.6, 72\/11 in decreasing order.\nAnswer: 96.6, 72\/11, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let -18*j**3\/5 + 16788*j**2\/5 - 744640*j - 90227456\/5 = 0. Calculate j.\nAnswer: -22, 1432\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10656 + 10533.02. Let h = 12.92 - p. What is h rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17619.6051 rounded to the nearest one hundred?\nAnswer: -17600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -36. What is the third derivative of 60*q**2 + 16*q - 29*q + s*q + 40*q**3 wrt q?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -3?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -29800 divided by 248\nAnswer: -3725\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1.8 (c) 834081\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + 25*b**2 - 19*b**2 + 0*b - 1)*(-2*b**2 + 3*b - 3*b) to the form q + o*b**4 + z*b**3 + t*b + x*b**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 + z**2 - 4*z**2)*(11 - 19*z - 7 - 2) as n + f*z**2 + w*z + p*z**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1496.55762 + 0.00762. Let v = d + 1440. What is v rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809237 a multiple of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, m: 7}. Give prob of sequence mmm.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 16*x**2 - 22*x + 86. Is u(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6971 + 6970. Sort 2\/39, 4, r, -5, 2\/9.\nAnswer: -5, r, 2\/39, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21712.89 weeks to nanoseconds.\nAnswer: 13131955872000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 190319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 55*l + 120. Let n be v(27). What is the units digit of -15 + 9 + 3 + n + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160924191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3 - 6858*c**5 + 6623*c**5 - 182*c**2 + 2*c**3 wrt c?\nAnswer: -14100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/75*(-18)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -67*c + 2. What are the prime factors of u(-1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16462, 32908, 49356, 65806, 82258, 98712?\nAnswer: 115168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24a2a1 (base 16) to base 5\nAnswer: 1103312204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 114473 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/42 + 164\/(-42) + 4. Let l be (s - 27\/1)\/((-54)\/36). Solve 7*u - u = -l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*t + 42 - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8498346.\nAnswer: 2, 3, 79, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1462*c**3 - 4*c + 3*c - 801*c**3 - 856*c**3.\nAnswer: -3119*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13268*a**3 + a - 14965*a**3 - a.\nAnswer: -28233*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 647 (b) 1688 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -29. Let i = 0 + -1. Let m be (-12)\/(-18) + (-16)\/42. Sort i, l, m.\nAnswer: i, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*r**2 + 122*r**2 + 116*r**2 + 119*r**2 - 2*r**3 - 483*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r - 440 = 0. Suppose 4*x - r = 2*x. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 5*x - 15. Let n = -17 - x. Let p(y) = 35*y**3 - 2*y**2 - 5*y**2 - 34*y**3 + 7 + 3*y. Determine p(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109639676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*n - 4*g + 12, -4*g = -2*n + 12. Is n\/2 - (-15 - 22) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/33 (b) -2212 (c) 4 (d) 0 (e) 5 (f) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -8. Let a(t) = -155 - t - t + 156 + 0*t + 3*t. Let g(o) = 4*o + 3. What is r*a(f) - 2*g(f)?\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - t - 3*t - 2*t + 0*t + 3*t + 0 + 2*t + 0 + (-2*t - t + 5*t)*(-2 + 3 - 3) - 2 + 2*t + 2 + (1 - 3 + 4)*(-1 - t + 1) + (0 + 0 + 2*t)*(-1 - 2 + 0).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0608 times -0.11?\nAnswer: -0.006688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1358239 or -1358217?\nAnswer: -1358217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99417 is divided by 33112.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700.2856 - 0.\nAnswer: -700.2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4090922 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -120*q**3 - 2*q - 2. Let n(l) = -358*l**3 - 7*l - 6. Calculate 2*n(b) - 7*w(b).\nAnswer: 124*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473549?\nAnswer: 473549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*v + 13*v. What is the third derivative of 2*y**5 + 0*y**v + 8*y**2 - 3*y**5 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - (sqrt(143) + -4*sqrt(143)*1))*-1)\/((sqrt(77)*2 - sqrt(77))\/sqrt(7) + (sqrt(275)*2 - sqrt(11)))*3)**2.\nAnswer: 468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 373, 360, 337, 304, 261?\n\"Answer: -5*q**2 + 2*q + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**3 + 4*o**3 - 2*o**3 + 3*o + o as m*o**2 + u*o**3 + l + z*o and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 2*k**2 - 3*k + 2. Suppose 0 = -25*z + 20*z - 4*b - 3, 0 = 4*b - 12. Give l(z).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-11\/4)\/q))**(2\/87)\/(q**(-13\/5)*q*q\/(q\/q**(-2\/11))) assuming q is positive.\nAnswer: q**(18097\/9570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011638057 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/4)*v*v**0*v**(3\/5)*v**3)**(-2\/21))**(-34) assuming v is positive.\nAnswer: v**(1819\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 7*z + 170. Let s be f(10). Let y = -1678 - -85582\/51. Which is bigger: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.9 in 0.05, 0.4, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 248 = -3*l, -4*f + 2*f - 94 = -4*l. Let p = f + 128. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7500.6 to the nearest one hundred.\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -20*u**2 + 129*u - 129*u. Let c(f) = -7*f**2. Give 8*c(z) - 3*m(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*a - 3 - 3 + 8)*(0 - 3 + 4) as l + b*a and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5723 - -1614372?\nAnswer: 1608649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57457, -114915, -172373, -229831, -287289, -344747?\nAnswer: -402205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -57.7. Let n = o + -1.7. What is the closest to n in -1\/6, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -4 (c) -5 (d) -136\/61 (e) 2\/23 (f) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 621 + -1631. What is w rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410*i = -413*i + 2109. Suppose -u = 2*x - 289, 9*x - 4*u = 4*x + i. Calculate the remainder when x is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 + 40*t**2 - 25*t - 250 = 0. Calculate t.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - 2*b + 2*b**2 + 0*b + 4*b to x + p*b + w*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1465583 and 8\/1465583.\nAnswer: 1465583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 5*a - 3 - a. Suppose c = 6*c - 20. Let v be t(c). What is the third smallest value in 5, 3, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 p, 1 b, and 1 o when four letters picked without replacement from ymbopxyxmmx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-1)\/((-11)\/285364) - ((-150)\/(-55))\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -600*h - 1. Let z be w(-2). Suppose -4*j = -z - 1121. What is j rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*w = 213*w - 5*u + 31, 5*u - 25 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1541 + -1544. Let r = 4.2 + -4.2. Let y be (16\/3)\/4*3. Which is the nearest to -2\/13? (a) y (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -477*d**2 - 311*d + 3. Let h(t) = -1907*t**2 - 1246*t + 13. Let z(i) = -6*h(i) + 26*n(i). Find the second derivative of z(w) wrt w.\nAnswer: -1920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 61 = -11*u. Let p = 45\/7 + -183\/35. Factor 0 + 6\/5*a**u - 2\/5*a**4 - p*a**2 + 2\/5*a.\nAnswer: -2*a*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -53*z**2 + 884*z + 3. Let t(d) = 123*d**2 - 1766*d - 7. Determine -3*t(o) - 7*y(o).\nAnswer: 2*o**2 - 890*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 704. What is the remainder when q is divided by 228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:22 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/24*(-864)\/(-4680).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3\/3 - 80*m**2\/3 + 176*m - 384 = 0.\nAnswer: 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56*(14\/4 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mll when three letters picked without replacement from {l: 13, m: 3}.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10799?\nAnswer: 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 5. Let l be f(0). Solve 3*q = j + 5, -2*q + 5*j + 25 = -l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 22*a - 3140. Calculate z(108).\nAnswer: -764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + x - 3866*x**3 - 2 + 3890*x**3 + 3 - 2. Calculate a(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wttwzk. Give prob of sequence wk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 242 + -235. Which is the second smallest value? (a) f (b) 3 (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*g**2 - 83*g**2 + 105*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4347656 rounded to the nearest 1000?\nAnswer: 4348000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2364)\/2709 + (-262)\/(-2027880)*120.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 333*j**6 - 22*j**4 - 587*j**3 + 1008997027*j**2.\nAnswer: 39960*j**3 - 528*j - 3522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t - 17. Calculate m(15).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684611 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**8\/11200 + d**7\/2100 + d**6\/1200 - d**5\/100 - d**4\/6 - 50*d. Let y(x) be the third derivative of j(x). Solve y(u) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40, 23, -202, -797, -1924, -3745?\n\"Answer: -27*u**3 + 58*u**2 - 2*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 13. Let d be ((-20)\/12 + 2)*0. What is the nearest to r in 0.5, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywy when three letters picked without replacement from {w: 5, j: 2, y: 2, e: 6, d: 3}?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 1228, 2\/3, -6, 2.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.135732 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5872 and -7.4?\nAnswer: 43452.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1267083289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2127 - -0.0324?\nAnswer: -1.1803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 48. Suppose q*n - 2 = 13. What is the greatest common factor of 40 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 7:18 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1) + (-2 - -8). Suppose -2*x - 8 = -4*v, -5*v + 5 = 3*x - n. Let z(r) = -2*r**2 - 1123*r - 15315. Let d be z(-14). Solve d = -v*s - 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12810000 rounded to the nearest 100000?\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 13228*x + 26458.\nAnswer: -(x - 2)*(x + 26458)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krk when three letters picked without replacement from {k: 5, r: 3, e: 1, v: 5, u: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = 3*b + 229. What is the greatest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s*s**(2\/63)*s\/(s\/(s*s**(-3\/2)*s*s)) assuming s is positive.\nAnswer: s**(697\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-6 - -3) + 7)*-64802 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 716 divided by 9\nAnswer: 716\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**3 - 8*n**2 + 28*n - 21. Let w be j(1). Let z(k) be the first derivative of -1\/4*k**4 - 1\/2*k**2 + 11 + k**w - 2*k. What is z(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 divided by -167?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5255619?\nAnswer: 3, 179, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -2839*w**5\/60 + 599*w**4\/24 + w**3\/3 - 2223*w**2 + 2. What is the second derivative of q(x) wrt x?\nAnswer: -5678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 3, v: 4, n: 2, a: 8}. Give prob of sequence iv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdiomxmxommmxixdd. What is prob of picking 2 o and 1 m?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5 - 3*a**4 + a**3 + 11*a**2 + 12*a + 4 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*k - 30*k - 11*n + 5, 4*n - 7 + 2 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -197 + 24*o + 0*o**3 - 14\/5*o**5 + 0*o**4 + 3\/2*o**2. What is the second derivative of k(u) wrt u?\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjf when three letters picked without replacement from {r: 1, j: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48638 is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 - 5*s + 5*s + (-31544*s + 31544*s + 2987*s**3)*(-3*s**2 + 5*s**2 + 0*s**2) - s**5 + 3*s**5 - 4*s**5.\nAnswer: 5970*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 556\/147?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-14))\/((-12)\/(-42)). Suppose 2*p = z + 6, -k = -z + 2*p - 3*p. Solve a - 2*a + 5 = z*t, 0 = -4*t - 4*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l - 15. Let k(u) = 20*u + 22. Let n(s) = -5*k(s) - 7*y(s). Let i(d) = 10*d + 6. Suppose -48*q + 11*q - 222 = 0. Calculate q*n(r) - 5*i(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6687 - 3343 + 38*v - 3344.\nAnswer: 38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/4 + 3\/(-6). Let a = v + 0. Is (a + (-110)\/4)*-2 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6 + 4. Let u = t + -0.2. Let j be (-2)\/(-6) - (-15)\/(-45). What is the closest to j in -3, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + 1)*(46920\/(-25))\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 491 and -88.469?\nAnswer: -43438.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 52*z - 22. Is f(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.368 plus 0?\nAnswer: 12.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**5\/20 + 23*l**4\/12 - 5*l**3\/6 + 29*l**2\/2 + 3*l - 7. What is the thousands digit of f(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 2 + 3.\nAnswer: 5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28372598?\nAnswer: 2, 151, 93949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2. Let c(r) be the third derivative of -r**4\/6 - 20*r**2. Determine u(c(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - ((-21 - 8) + -14 - -157)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4229099 + -2549105. Suppose 0*i + y = -4*i - 3360002, o = -2*i + 3*y. What is i rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-18)\/1*(-283)\/849)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74320.\nAnswer: 2, 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 5\/8*x**3 + 1\/8*x**4 - 1\/80*x**5 + x**2 + 0 - 17*x. Solve r(l) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212298.\nAnswer: 2, 3, 41, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 15*w - 31. Suppose -27 - 90 = -2*t + 3*u, -u - 273 = -5*t. Calculate the remainder when t is divided by m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p. Let f(w) be the second derivative of w**4\/6 - 12*w. What is b(f(r))?\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -4*h - 31. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*l**3 - l**4 + 12*l**2 - 12*l**2 - 2*l + 4*l to the form v*l**3 + c + i*l**2 + n*l**4 + x*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67810.\nAnswer: 2, 5, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -14, -5586, 23 in increasing order.\nAnswer: -5586, -14, -3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -26, -32.\nAnswer: -32, -26, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 28 = -7*h. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-51)\/7 + (-2)\/(-7). Let q be (415\/(-2 + 7))\/(1 - 0). Suppose 32*v + 13 = -q. Sort v, s, 2 in ascending order.\nAnswer: s, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbd when three letters picked without replacement from {l: 10, b: 2, d: 1, c: 6, w: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -976, -977, -978, -979, -980, -981?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10396 + 11021. Calculate the remainder when 641 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 38. Let m be c(15). Calculate the highest common factor of m and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121*l + 1171?\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 3, l: 2, i: 1, f: 3, y: 1}. What is prob of sequence fi?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**4*w**2 + 176*l**3*w**3 - 9*l**2*w**3 - l**2*w + w**3 wrt l?\nAnswer: 24*l*w**2 + 1056*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15935000 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 30 = -40. Suppose -8 = -s - 2*u + 14, u = 4*s - j. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257231, 1028780, 2314687, 4114952, 6429575, 9258556, 12601895?\nAnswer: 16459592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 5*p + 142, -2*b - 5*p - 361 = -218 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(50)))**2.\nAnswer: -720*sqrt(2) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 122436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j. What is the remainder when l(-4) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*n**5*r - 17*n**4*r**3 - 91*n**2*r**3 + 2*n**2*r + 5*r**3 wrt n.\nAnswer: 3000*n**2*r - 408*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 7178040724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 11:18 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -107964*j + 70716423. Give r(655).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*q + 2*m + 2, -4*q + 3*m - 3 = 0. Suppose q*g = 2*v - 27, -3*g = -v + 5 + 4. Let d = v + -14. Solve 5*s = 2*j - 33, 7 = -d*j + 5*s + 48 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61.34 - -60. Let m = s + -0.36. Let h = -0.5 + m. Round h to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5909\/4 + -1477. Which is the nearest to 1\/3? (a) w (b) 4 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2046\/(-88)*8\/6.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -9568*x**5\/5 - 3*x**4\/8 + 5*x**3\/2 + 9*x**2. Let y be u(-9). What is y rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 6*c - 6. Let o be n(-4). Suppose 6*u - u - o = 0. Suppose -l + u = -3*l, 0 = 3*x - l - 26. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 - 112. Let a(p) = -3 + 1 - 2*p + p. Give a(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.2 + 15.2. Sort -1\/2, u, -10, -5.\nAnswer: -10, -5, u, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*y + 474 = -5*f - 464*y, 3*f + y - 38 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216787 is divided by 758?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 0*y - 5*y + 8*y + 4 + 13*y**2 - 2 + 6*y. Let q(x) = 2*x**2 + x. Let m(u) = f(u) - 6*q(u). Let m(w) = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 194793936\/11 or 17708540?\nAnswer: 17708540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 0*c**2 + 8*c + 1\/3*c**3 + 0. Let g(m) = -8*m**2. Give b(g(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, j: 2, i: 5, b: 3, h: 1}. Give prob of picking 2 q, 1 j, and 1 i.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2084 divided by 10\nAnswer: -1042\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1081 - 1096. Suppose 0 = 4*f - 4*y + 72, 5*f - 2*y + 48 + 45 = 0. Is k at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 0 + 0 - 45*o + 49*o. Let w = 3 - 1. Let b(v) = -w*v + 3*v - 2*v. Give p(b(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -102?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {u: 2, d: 7, i: 10, y: 1}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -9) + 29 + (-3 - 4) + -4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.15113721 to 4 dps.\nAnswer: 1.1511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2645, 5290, 7935, 10580, 13225?\nAnswer: 15870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 2*y. Let z be l(3). Suppose o - 12 = 2. Suppose 16 = 3*p - 5*p + 5*x, 3*p + o = 5*x. Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -25. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 950391990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12840 and 135.\nAnswer: 115560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h + 2. Let o(x) = 15*x - 6. Let a(t) = -o(t) - 3*p(t). Let w(b) = 3*b**2 - 8. Let f(v) = -v**2 + 3. Let z(i) = 8*f(i) + 3*w(i). Determine z(a(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 13*v**2 + 11. Let l be p(13). Let s = 41 - l. Let i = -24 + s. What is the remainder when 33 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/11)\/(26\/143). Let p(a) = 3*a**2 - 2*a - 5. Let b(w) = 2*w**2 - w - 4. Give q*b(k) - 3*p(k).\nAnswer: -k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/593040207 and -113\/493224?\nAnswer: 4744321656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 342, 513?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64362? (a) 4\/11 (b) -2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2009 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25226513 to the nearest integer?\nAnswer: 5023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 111*z - 109*z = 0, 5*z - 10 = 5*l. Let y(r) = 2*r**3 + 5*r**2 + 2*r + 1. What is y(l)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-3*v**2 - v**4 + 4*v**4 - 2*v**4).\nAnswer: 2*v**4 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3824 = u, -4*s - u - 4*u - 7634 = 0. Let g = s - -2873. List the prime factors of g.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*b + 73*b + b**2 - 115*b + 7)*(2*b**3 + 0*b**3 + 0*b**3).\nAnswer: 2*b**5 + 10*b**4 + 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6401, -224, -4, 4, 0.1, -3, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015209 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6288, -12842, -19412, -26004, -32624?\n\"Answer: -u**3 - 2*u**2 - 6541*u + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 8*k**2 + 14*k - 1. Let z be w(-5). Suppose z*m = 4*d + 472, 0 = m - 5*d - 39 - 71. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - d)*((-5 + 2 + 4)*(2 + 0 - 4) - 6 + 1 - 15).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 16) in base 4?\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 1. Let l(v) = 61*v. Let j(r) = -2*c(r) - l(r). Let h be j(-1). Suppose 0 = -3*a + h - 28. What is the remainder when a is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -831 * -1.3.\nAnswer: 1080.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11516164 divided by -1153?\nAnswer: -9988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 28 + 4. Solve 0 = -4*u - 4, -4*u = t*a - 0*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1682.1647 - -1682. Let p = o - -0.179. Round p to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.916? (a) 0.2 (b) 2\/9 (c) 0 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(-9))*(o*((o\/o**(-2\/11))\/o)\/o)\/o*o*(o**(-15))**(-20\/13) assuming o is positive.\nAnswer: o**(4613\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.1 + -6. Let g = 0.1 - r. Let t = -1 - g. Sort -2\/3, t, 4 in decreasing order.\nAnswer: 4, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49, -189, -423, -751, -1173, -1689?\n\"Answer: -47*h**2 + h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, 0.5, 161.6?\nAnswer: 161.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/21*-7*1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 994 = m - 1270, -6*m - 2*s + 13616 = 0. Calculate the highest common divisor of m and 2520.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(1872) + 0 - 1*(1*sqrt(468) - sqrt(468)))**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1654 = -5*z - 2*t + 1639, 30 = -3*z + 3*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + (32 - -2 - 39).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -265\/4 or -66?\nAnswer: -265\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 4*i - 7, -i + 6*i = -w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133317840.\nAnswer: 2, 3, 5, 555491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6 - (-2 + 3)) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3*p**3 - 59854171*b*q**2 - 5231*p**3*q**2 + 3*p**3*q + p**3 - 142*p**2*q**2 + 5*p**2*q + 2*q**2 wrt b?\nAnswer: 6*b**2*p**3 - 59854171*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133267527, -133267531, -133267537, -133267545, -133267555, -133267567?\nAnswer: -133267581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/33)\/((-153)\/(80784\/96)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:07 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 350 = 4*z, 3*z - 12 = 3. Let q = -182 + d. Solve -i - b - 3 + 1 = 0, 4*i + q*b = -4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -7140.09.\nAnswer: 1428.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50175 is divided by 6271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 689 = -2894*w + 2909*w, w = -i - 43 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d - 43*d - 14*d**2 + 10*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/4)\/((-7)\/(-56)). Let g(b) = 3*b - 11. Let y be g(4). Let r = p + y. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**5\/30 - l**4\/6 - l**3\/3 + 43*l**2. Let o(b) = 1 + 3 + 0 + 4*b + 2. Let s be o(-2). Determine h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, 2025, 21, 0 in decreasing order.\nAnswer: 2025, 21, 0, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1055 - 1055. Solve o - 14 = 7*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24221 = 5*y + 1386. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:41 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**42*p**(2\/35)\/p assuming p is positive.\nAnswer: p**(1437\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -63 times -0.38178\nAnswer: 24.05214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 3 + a + 0*a)*(a - a**2 + 39 + 8*a - 38) in the form v + n*a**3 + d*a + y*a**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 62 = 36 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 32*a - 26*a. Let h(j) = -2*j**3 + 8*j**2 + 4*j - 11. Let t be h(a). Let b(r) = r + 4. Calculate b(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s - 3*s - 11*s + 20513*s**3.\nAnswer: 20513*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2*-3*1 - (0 + sqrt(27) - sqrt(27)\/(-2*sqrt(9)))) + 1 + 0.\nAnswer: 1 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.151 and -352.\nAnswer: -53.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*b - 2*b. Let a be 6\/(3\/(b\/(-4))). Let k(i) = i + 11. What is k(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 2*n**2 - 72*n - 72.\nAnswer: 2*(n - 6)*(n + 1)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528*n = -536*n + 288. What is the smallest common multiple of n and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 - 25*n + 40. What is b(9)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/12 - 14*18\/378)*6. Solve -1835 = -j*t - 1820 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 3*f - 80. Solve -2*z = 2*z + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399 divided by -19.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*y + 147, 17 = y - 5*o - 24. Suppose 6*z - 12 - y = 0. Let q be (z\/(-804))\/(-1)*(-3)\/2. Is q equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*t + 3457 - 2310 = -4463 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, -0.5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*x + 108*x = -20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1117, 1105, 1085, 1057?\n\"Answer: -4*i**2 + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = t + 5. Let j = t - -29. Suppose 2*x - j = 18. Solve -3*v + x = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3536 < -3578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2250180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39944 + -39930. Let y = -3 + 4. Let g be 1*113 + (0 - y). What is the greatest common factor of o and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4\/9 (b) -1 (c) 0.0023 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a*a**(3\/5)*a)*a)**46\/(a**(2\/3))**(6\/13) assuming a is positive.\nAnswer: a**(-1814\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(396*q**2 - 667*q**2 + 405*q**2) + (2 - 2 - 2*q)*(q + q - 3*q).\nAnswer: 270*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 587 - 577. Calculate the smallest common multiple of 70 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355910829.\nAnswer: 3, 4943, 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 1\/2*u**2 + 14 + 11*u. What is p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12921\/((-7)\/(-6) + 12\/36)?\nAnswer: 2, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = 66 + 60 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 395749800 to the power of 1\/2, to the nearest integer?\nAnswer: 19893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89808219*u**2*z**3 - 107*u**2*z**2 + u**2*z - u**2 + 223*u - 2*z**2 + 81*z wrt z.\nAnswer: 538849314*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*h = 127, 0 = 3*f + 2*h - 64855 + 64782 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*v**3*x**6 + 33*v**3 + 6*v**2*x**6 - 3*x**2 wrt x?\nAnswer: 840*v**3*x**3 + 720*v**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 23 = -3*c, -c = 17*m - 14*m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17353563*-5\nAnswer: -86767815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10270 - 3971. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 5*f + 2. Let w be r(4). Suppose -d + w = d. Suppose l + 16 = d*p + 2*l, -4*p = 5*l - 14. Solve -9 = -p*v + 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -7891, 43, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**2\/4 - 137278*y - 54911 = 0 for y.\nAnswer: -109822, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 216*o. Let p be m(1). Let j = p + -103. Suppose -j = -v - 7. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292842 divided by -561.\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.540557 millilitres in litres?\nAnswer: 0.004540557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 51 in increasing order.\nAnswer: -5, -2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvfvvrff. Give prob of picking 1 r and 1 f.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9324270.49 rounded to the nearest ten thousand?\nAnswer: -9320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 5*r + 22. Calculate c(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-15) - 24\/(-18). Sort 0, 6, l, 3 in descending order.\nAnswer: 6, 3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1259894, -5039534, -11338922, -20158058, -31496942, -45355574?\n\"Answer: -1259874*r**2 - 18*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 3664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y - 69 = 800 + 856. What is the remainder when 26997 is divided by y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4605 + -17101. Let w = 999709\/80 + j. Calculate the common denominator of 35\/48 and w.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44 - 7698699?\nAnswer: -7698655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34639 and 31537.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 232 = -4*b, -3*b - 3*j = -20 - 136. Let r(q) = -3*q**2 + 3*q. Let t be r(4). Calculate the remainder when b is divided by (-2)\/9 + (-1016)\/t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/8 - 17*y**2\/4 + 20*y + 300.\nAnswer: (y - 20)**2*(y + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/22518 and 131\/31179924.\nAnswer: 93539772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:35 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 11\/4, -122 in ascending order.\nAnswer: -122, 1\/7, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958 is divided by 218?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 166*h - 834. Give a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 559727260\/1856 + (-18)\/96 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 11*r**2 - 5*r + 139. Calculate d(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(2\/1)*-2. Let v be (1 - o)*4\/(-12). Let k be 24\/(-396) - (-1002)\/198. Solve 6 = -k*m + v*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 53. Let z(a) = a - 27. Let y(h) = 6*j(h) + 11*z(h). Let s be y(9). Find the common denominator of 5 and 99\/2*(-2)\/s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:23 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, y: 9}. Give prob of picking 1 s and 2 y.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 9 = -5. Let g = -13 - -47. List the prime factors of (4\/2)\/(s\/g).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 5. Let o be a(7). Let m be (o + 4\/(-8))*12. Suppose 1 = -t + 2*f - 2, 5*t + f - m = 0. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 14) to base 13.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 9) + (1 - -3) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:15 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 5*q - 22. Let k be y(12). Suppose -7 = -3*m + 4*m. Let f = m + k. List the prime factors of f.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**2\/2 + 13*h + 3. Let z be w(-9). What is the third derivative of -10*d**3 + 2*d**z + 10*d**3 - d**2 wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121729028 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11b435 + -2?\nAnswer: -11b437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 914200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, 125, 29, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3550.1 - -1.18?\nAnswer: -3548.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + q**4 - q**4 + (-q**3 + 4 - 4)*(3 + q - 3) - q**4 - 2*q**3 + 2*q**3 + 0*q - q**4 + 0*q + 3*q + q**4 - 3*q)*(-2*q + 2*q - 2*q).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j**4 + j + 0 + 2 + 27*j**4 - 42*j**4 + 15*j**3 to the form l*j**2 + g*j**4 + y*j**3 + q*j + a and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*s**3 + 104*s**3 - 26*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 4*u - 7. Let i(s) = 4*s - 3*s + 0*s**2 - s**2 + 7*s - 3. Let f be i(7). Let a be (f + 1)*(-11 + 10). Calculate r(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x**2 - 38*x**2 - 85*x**2 - 39*x**2 + 201*x**2 - 32*x**3.\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116768004 by -4.\nAnswer: -29192001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.5 + -4. Let d be 0 + (-3)\/(-606)*-2. Let b = d + 207\/505. What is the smallest value in i, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/5 + 7\/(-105)*-3. Suppose a = 2*b - 3. Suppose 0*r + 5*r = -b*n + 59, -51 = -3*n + 5*r. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -969458250 to the nearest 1000000.\nAnswer: -969000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 2:20 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -36770000 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1197 is divided by 202?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-5))\/(-6))\/(18\/(-3))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 - 28*p**4 - 36*p**3 + 28*p**2 + 40*p = 0. Calculate p.\nAnswer: -5, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/8806 and 193\/411810?\nAnswer: 7000770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4903 - -4920. Solve h - 19 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 21*l - 40. Let t be i(-18). What is the lowest common multiple of (-64)\/(-11) + t\/77 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6061208*i + 580413 wrt i?\nAnswer: 6061208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 + 153. Let j(i) = -2*i - 1. Let f(m) = m. Give h*j(g) - 5*f(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5 = 0, 3*p + p + 4 = 2*k. Suppose -k*i = i - 275. Let z be (66\/9)\/((-2)\/(-3)). What is the greatest common divisor of z and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379029 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2. Let q(x) = -25*x + 38. Let r(u) = -62*u + 77. Let z(d) = -15*q(d) + 6*r(d). Calculate z(n(s)).\nAnswer: 6*s**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1442 + -3.5407879169?\nAnswer: -3.6849879169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-72))\/((-67)\/(-2010))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 411*z + 8358. What is o(-45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4589.4385.\nAnswer: -4587.4385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:39 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2129644l to millilitres.\nAnswer: 212.9644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -501 - -505. Suppose 15 = 3*b + x*q, q + 34 = -4*b + 41. Let m = -0.22 - 8.78. What is the closest to b in -1\/5, 4, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 3*i**2 + 6. Suppose 24*o - 4 = 26*o. Let p be n(o). Solve -p = -c - 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -37, -50?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 8, -8*w + 3*w - 5 = -5*n. Let k = 2.08 - -0.02. Which is smaller: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 3*t - 37. Let v be w(-8). Suppose -p + 115670 + 13118 = 3*r, -v*p + 2*r + 386408 = 0. Round p to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2.77, -1\/1038, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 19 = -o, 3*h = 5*h + o + 7. Let q be 6 + -1*(-4 - h). Solve q = -0*f - 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -23*p**6\/30 + p**3\/6 - 37*p**2 + 39*p - 5. What is the derivative of t(u) wrt u?\nAnswer: -92*u**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eppppppppppppepppp. Give prob of sequence ppe.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b = -18*b - 35. Suppose -b*r + 0*r + 5*c + 835 = 0, -2*c - 6 = 0. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 64799917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*f**2*t**2 + 3*f**2 - 2*f*t**2 - 33*f*t wrt t.\nAnswer: 80*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 18249474\nAnswer: -91247370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -123*i - 153. List the prime factors of g(-32).\nAnswer: 3, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333255?\nAnswer: 3, 5, 13, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2479.\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 5. Let m be a(7). Suppose -3*g - g = -m. Is (g - 0)*14*1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmeeyimiwyey. Give prob of picking 2 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/240*8)\/((-12)\/60)*10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75294, -75621, -76160, -76905, -77850, -78989?\nAnswer: -80316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 48*n - 552. Let p(z) = -4. Let i(u) = -o(u) - 6*p(u). Factor i(t).\nAnswer: (t - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 77\/337056 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05556 - 0.01844. What is the closest to 1 in 0.2, h, -2\/33?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtttxxxxxtttxxtttx. What is prob of picking 4 x?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -10485749.9 to the nearest 1000.\nAnswer: -10486000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4135 and 121\/4962.\nAnswer: 24810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 u, and 1 g when three letters picked without replacement from ggugaaauggggga.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226524377*y**3 - 2*y**2 - 3073*y + 3213.\nAnswer: -1359146262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.26 times -969\nAnswer: -1220.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -751.8 + 755.8. Which is the third smallest value? (a) 2\/37 (b) t (c) 142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18084000 to the nearest one hundred thousand.\nAnswer: 18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*q = -7 - 4, -q = 2*n - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4244.5621 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4720 divided by -59?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -698*d**2. Let r(k) = 3*k + 2*k + 24*k**2 - 5*k - 25*k**2. Give p(r(c)).\nAnswer: -698*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 7:24 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*v + 105. Let t = -5 - -31. Suppose -2*o = -2*b - 16, 13 = 3*o + 2*b - t. Calculate the remainder when v is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 167897.483.\nAnswer: 167896.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368, 863, 1358?\nAnswer: 1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a (base 11) to base 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 18. Let r be (-344)\/28 - 4\/(-14). Let y = f + r. Is 5 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -62, 0, -2, -9, 2 in decreasing order.\nAnswer: 2, 0, -2, -3, -9, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 5:03 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-48))\/((-1)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 + 8*u + 1 + 0 - u**3 + 1. Suppose 0 = 3*i + 3*v + 5 + 13, -3*i - 4*v - 18 = 0. Is q(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 = -11. Suppose i*f - 6*f = 19. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -1. Let f(r) = -1 + 16*r**3 + n*r + 1 - 2*r**2 - 4*r. What is the units digit of f(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let c(y) = 5*y**2 - 6. Let g be c(-3). Let o = g + -36. Solve -o = z - n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 4550 = 4480 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11933, 24175, 36715, 49553, 62689, 76123, 89855?\n\"Answer: 149*z**2 + 11795*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 581 - 506. What are the prime factors of (-54180)\/m + 6\/(-15)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58603*h - 58796*h + 8878 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53210521 + 14?\nAnswer: 53210535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 8. Calculate z(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/8 (b) -34 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -19, -57, -115, -199, -315?\n\"Answer: -z**3 - z**2 - 14*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 17. Let l be f(12). Put l, -4, 4 in increasing order.\nAnswer: l, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + b**4 - 1 + (-2*b**4 + 13*b**4 + 3*b**4)*(1 + 2 + 0).\nAnswer: 43*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:49 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3626 - 599. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418*s + 733851 = -2168323. Does 70 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*g**3*s**2 + g**3*s - 3*g**2*s**2 + g**2*s + 109*s**2 + 555 wrt s.\nAnswer: 30*g**3 - 6*g**2 + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * 1.45\nAnswer: -3.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.66 - 0.34. Let v = 15.3 + p. Suppose 18*t - 50*t - 96 = 0. Which is the closest to -0.2? (a) v (b) t (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/120 - j**4\/12 + 2*j**3\/3 - 114*j**2. Differentiate x(r) with respect to r.\nAnswer: 3*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let m(u) = u**3 + 10*u**2 + 8*u - 7. Let z be m(-9). Suppose -5 = -z*r - 1. Let c(h) = -15*h**2 + r*h + 0*h - 2*h. What is c(j(q))?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 724507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 0, 3*h + 5*x = -3 + 26. What are the prime factors of -3 - h\/(22\/(-60))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-455)\/((-1)\/((-26)\/22)). Let w = 537 + l. What is the biggest value in 0, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -4 (c) 1\/1437 (d) 0.5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 44655*o - 22 + 11.\nAnswer: -44655*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - 2*j + 2*j + (2 + 5 + 0)*((0 + 0 - 2)*(-j + 2*j + 0*j) - 13 + 13 - 10*j).\nAnswer: -86*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4\/7 + 9098*u**3\/7 - 206608*u**2\/7 + 280318*u\/7 + 27564 = 0. What is u?\nAnswer: -2297, -1\/2, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u + 3640. What is u rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1767074 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1488 and 930?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:39 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z + 5. Let t = 5 + -7. Let n(o) = -3*o + 3. Let f(u) = t*g(u) + 5*n(u). List the prime factors of f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 228 - 49. Suppose -a*g = -174*g - 25. Solve -g*i - 35 = 4*o - 9*o, 2*o - 3*i - 19 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496552894?\nAnswer: 2, 89, 97, 28759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 12969670*c - 8410616995445.\nAnswer: -5*(c - 1296967)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021632 rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b + 113. Calculate z(29).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxfatgxtllt. Give prob of sequence tll.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3312?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooo. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4 - 27*f**3 - 54*f**2 = 0. What is f?\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -13*f**3\/6 - f**2\/2 + 7*f + 5. Suppose 5 = 5*m - 2*g, 4*m + 23 = m - 4*g. Determine k(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**5\/10 + a**4\/2 + 2*a**3\/3 - 5*a. What is y in p(y) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mamamm. What is prob of picking 1 a and 1 m?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 14*f + 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4 - 17. Let k = 1 + z. What is the greatest common divisor of k and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*15\/10*14\/21. Sort 0, -4, c, -48 in descending order.\nAnswer: 0, c, -4, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4958, 19710, 44306, 78752, 123054, 177218?\n\"Answer: t**3 + 4916*t**2 - 3*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:20 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 1, t: 2, m: 6, q: 1, v: 5}. What is prob of picking 2 f and 1 q?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*w + 4*w - 355 - 179 = 0. Let 3\/4*x**2 + 6*x - 9 - 3\/4*x**w = 0. Calculate x.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -5 - (-2 + (3 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-49))\/(4\/(-28)). Let q(d) = -3*d - 15. Let c(h) = -1. Let p(k) = -15*c(k) + q(k). Let s(n) = n. Give x*p(l) - 7*s(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/15)\/(2\/20). Suppose -4*z + 30 = 3*j, a*z - 4 = -2*j + 20. Suppose -j*u + 2*u + 124 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -24. Let s = a - -89. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let c = -10 + 8. Let o be ((-16)\/(-128))\/(c\/(-8)). Which is bigger: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1856 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/800 and -39\/2200.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424859, -421346, -417833?\nAnswer: -414320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7161*c + 75. Let z be i(-35). Suppose 17*q + z = 47*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-8) + 39\/156.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 5. Let p(b) = -10*b - 16. Let w(f) = -7*j(f) - 2*p(f). Let d(m) = m + 6. Let g(u) = d(u) + 2*w(u). Let s(o) = 49*o. Calculate g(s(q)).\nAnswer: -49*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 12*q**2 + 11*q + 4. Let g be w(11). Suppose -32 = -4*x + 5*k, -3*k + 4*k + g = 0. Solve -x*m = -m + 2*v - 8, 5*v - 15 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-2) + 0\/2. Let h(x) = -x**3 - 3*x**2 + 4*x - 4. Let y be h(c). Let g(t) = 3*t + 3. What is g(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l*l*l\/((l\/(l*l**3))\/l*l))*l)*l**9*l)**16*(l**(-2\/19)*l*l*l**(-1\/11)\/l)**(-1\/3) assuming l is positive.\nAnswer: l**(46760\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3992, -4333, -4668, -4997, -5320, -5637?\n\"Answer: 3*s**2 - 350*s - 3645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c0 - -8b1b?\nAnswer: 93db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + z + z = -15, 0 = 4*v - z + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*l**2 + 524*l**2 - 910*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:38 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*-48844706.\nAnswer: -1318807062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 6) in base 8?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10) + 748\/(-440)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -77. Suppose -a = -d*w + 8 - 81, -4*a = 5*w - 292. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 844341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 2, w: 3, d: 1, p: 1, h: 5}. Give prob of sequence jpd.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -72580547 plus 0.02?\nAnswer: -72580546.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361098694 divided by -2?\nAnswer: -680549347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from nnqccnncqcgcccc?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6926\/3623965 - -4\/19589. Let u = 298811\/21090 + o. Calculate the common denominator of 107\/(-12) - (-1 - 1) and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -0.14\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0.1 (c) 3.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 + 9*l. Let q(o) = o**2 + o + 1. Let v(p) = 5*q(p) - u(p). Give v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14019*2.3.\nAnswer: -32243.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9675, -39945, -90399, -161037, -251859, -362865?\nAnswer: -494055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15506403 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 915434633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -2*o - 2*q, -2*o - 3*q - 62 = -o. Let b be (-3*3\/(-18))\/(14\/o). Let i be 94\/6 - (b - 2)*1. Which is smaller: 20 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 40. Suppose -3*u + 0 + 3 = r, -u - 5*r = -15. Let k be (9\/q)\/(u + 3). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 298 = -6*g - 2*p, 0 = p - 5. Suppose 5*y - y + g = 2*m, 0 = -y + 2. Are m and 40 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d. Let q be y(-1). Suppose 42 = -q*l + 378. Calculate the highest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-3))\/((-176)\/32).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3666 - 35*u - 3666)*(2*u**2 + 3*u**2 - u**2) to the form a*u**3 + y + q*u + k*u**2 and give a.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 - 46922\/42543. Let x = 4973\/9780 + c. Find the common denominator of x and 125\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*b - 672 = 0, a = -2*b - 84 - 84. Let c be a\/(-36)*3186\/4. Is (c\/(-18))\/((-2)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 + 24 - (-41 + -65).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -0.1. Let i be (-10)\/50*(1 + -2). Which is the closest to j? (a) i (b) -3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 1. Suppose 2*t = 18 - 2. Suppose 0*p - 16 = t*p. Let w(l) = -2*l**2 + 2*l + 3. Give p*a(g) + w(g).\nAnswer: -2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1795 = 87*a - 90*a + i, -4*a + 2380 = 2*i. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3172\/(-549))\/52*-5*(-2)\/25?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - 5.06. What is the closest to 0.1 in g, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 8065694.\nAnswer: 1\/4032847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 7*w**5\/60 + 5*w**4\/3 - 2*w**3 + 7*w**2\/2 + 9*w. Let q(v) be the first derivative of n(v). Find j such that q(j) = 0.\nAnswer: -6, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2 = -7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 705 - 674.3. Let q = -27 + g. What is q rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/12 - 5*r**3\/3 - 21*r**2\/2 + 13*r - 2. Give n(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 442 + -316. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1087 and -79\/724.\nAnswer: 786988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-500)\/(-6))\/((-5)\/(-630)). Round x to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171060 divided by -5.\nAnswer: -34212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7246 and -53.\nAnswer: -384038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 11:57 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/363 and 49\/726?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65.9 - 66.9. Sort -142, b, -0.06 in descending order.\nAnswer: -0.06, b, -142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 24 = -5*a + 3*a + 5, 19 = -3*r - a + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*k + 25, -71*k + 3*v = -74*k - 33 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 + 8*y + 4. Let r(k) = 4*k**2 + 7*k + 4. Let i(t) = -2*p(t) + 3*r(t). Let s be (-9)\/18 - 11\/(-2). Is i(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -31, -18, 13, 62, 129?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Solve k = -9*k - 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/2 - 87*3\/9. Let i = -29 - a. Is -4 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (150\/(-18) + 1)\/(1\/(-6))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -5, -29 in descending order.\nAnswer: 5, 3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 4 = 2*h. Suppose -73*c - 71*c = 60*c - 2040. What is the units digit of (4\/3)\/2 - c\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.420568 rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-1377)*171 + (-2)\/9. Sort 2.029, i, 3 in ascending order.\nAnswer: 2.029, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828 and 19884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 6, 4, 25, 1 in descending order.\nAnswer: 25, 6, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 530654741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77\/5 - -78\/5. What is the second smallest value in 0, z, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 126 = -0*w. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*f - 8. Let m = 25 + -25. Which is the smallest value? (a) m (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/23 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdt when three letters picked without replacement from {c: 1, t: 1, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/5, 14, -6, 1191, -0.04?\nAnswer: 1191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(-2\/19)*q))*q)\/(q*q\/q**(-1\/4)*q*q)*q*q**(2\/11)*(q**(-13)*q)\/q assuming q is positive.\nAnswer: q**(-11013\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15120.2294 rounded to the nearest 10?\nAnswer: -15120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 42.99441572+-5\nAnswer: 37.99441572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2223)\/(-390) + 3\/10. Suppose -s*x + 3473 = -1333. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m**2 + 0*m**2 - 2*m**2)*(0*m + 2*m - 3*m) - 75*m**3 + 27*m + 145*m**3 - 64*m**3 as p*m**3 + t*m + l + o*m**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -2*p**7\/105 + 79*p**6\/6 - 17292*p**5\/5 + 374616*p**4 + 1533312*p**3 + 189*p**2 + 1. Factor b(l).\nAnswer: -4*(l - 132)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-48)*-16*(-10)\/280\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 22*v = -5 - 51, -3*v = -2*c - v + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -6 - -9) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2523 (b) -2\/19 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 4 (c) 2\/59 (d) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -82. Let z be (1 + 21\/(-9))*(-15)\/(-2). Let w = 34 + z. Calculate the smallest common multiple of w and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -4*y - 1025. Is y\/((-7)\/2 + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Let p = 209 - 209. What is the second smallest value in 4, p, 1\/4, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270441 = 3*f - 607968. Suppose -2*l = 19143 - f. Let z = l - 7836830. Round z to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 95*g - 130. What is s(-3)?\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 710 - 802 + 51*x**4 + 102*x**4 wrt x?\nAnswer: 612*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -36. Suppose 8*i - 6*i = r. Suppose 0 = -30*g + 29*g + i. Calculate the greatest common factor of g and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*0\/(1 + 2). Differentiate l**4 + 5 + 0*l - 1 + y*l wrt l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31923 - 31925.15. Which is the nearest to 1.1? (a) 1 (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*f - 72 = -f, -o = 2*f + 18. Let l be (-12)\/21*o\/4. Suppose -31 - 13 = -l*z. What is the remainder when 107 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149\/3 + -49. Let a = -15739 - -15742. Suppose k*n**2 - 4\/3*n + 0 + 4\/3*n**a - 2\/3*n**4 = 0. Calculate n.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) + (sqrt(189) - (-2*sqrt(189) - sqrt(189))))\/sqrt(7))\/(-5*1*sqrt(9)) + (sqrt(21) + sqrt(21)*-5)\/sqrt(7) + (sqrt(27)\/sqrt(441))**2.\nAnswer: -5*sqrt(3) + 3\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/42*4*18\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w**3 - 5*w**2 + 2*w + 7. Let k be 4 - (0\/(-1) + 3 + -2). What is the units digit of y(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 127476 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208 + 1454\/7. Which is the closest to 0? (a) 0.1 (b) 17 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154490 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 22 + 19. Suppose 0 = -3*n, 0 = -3*y + n + r*n + 12. Let u(f) be the first derivative of f**2\/2 - f - 1. Determine u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 9:50 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122 - -4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -121. Let a = -5 - -3. What is the third biggest value in 5, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/(20\/(-20))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiipipi?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/155 - 171\/1240. Let q(b) = 4*b - b - 4*b - 1 + 2*b. Let l be q(-4). Sort w, 2, l.\nAnswer: l, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10601.02909905 + 10603.7291. Let g = c + -2.7. Round g to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 1:09 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 260257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 370158 = 370253 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 653429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 820 - 814. Let n(i) be the first derivative of -2 + 2\/3*i**o + 8*i - 10*i**2 + 4*i**4 - 16\/5*i**5 + 8\/3*i**3. Factor n(p).\nAnswer: 4*(p - 2)*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148003 times 567\nAnswer: -83917701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, -5, 3423, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 99*t + 661, 5*f + t - 124 + 385 = 0 for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 13*q - 11. Let u be m(-16). Let f = u - 52. What is the units digit of (4\/(-10))\/(f\/300)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(2 + -1) - (-1560)\/770. Do t and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjz when three letters picked without replacement from {y: 4, w: 4, o: 8, j: 1, h: 2, z: 1}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssmsmssssmmsssmsms. Give prob of sequence mm.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 = -15*n - 46*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 3*m + 2. Let g(j) = -2*j - 8. Let i be g(-5). Determine u(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*s**2 - 217*s**2 + 293*s**2.\nAnswer: 462*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -516*-0.35.\nAnswer: 180.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 74 = j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10151073 at most as big as 10151040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -273, -374, -581, -930, -1457, -2198?\nAnswer: -3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-6)\/(-1) - (-637 - 34). Suppose 10*l = -5*l + y. Which is greater: l or -0.6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*l + 174*l = -12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 37. Let u = -37 - b. Let i = u + 18. What is the closest to 0 in i, 1\/6, 3\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 2. Let j(l) = 4*l**2 + 5. Determine -7*g(v) - 4*j(v).\nAnswer: -2*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*c - 21*c + 492 - 7*c - 12*c - 11*c as l + b*c and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**3\/3 - 14*w - 1. Suppose -3*p = -p - 4*k - 20, -5*p + 10 = -2*k. Determine h(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 9\/2 (b) 7 (c) 37\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25470 divided by 327?\nAnswer: 8490\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 7*s**2 + 5*s + 6. Let c be x(6). Suppose c = -0*w + 2*w - 140. Calculate the highest common divisor of 28 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 10 = -3*b. Let d = b + 14. Suppose -d*k = -0*k - 8. Solve 6*a - k*a = 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -11. Let t = -74 - -71. Let p be t - ((-12)\/75)\/((-4)\/(-90)). Is i > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0 (c) 1456 (d) -2\/3 (e) -2\/15 (f) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*y + 14 = 0, 3*w + 2 = -3*y - y. Let f be (w\/5)\/(-7 + 5). Which is the third smallest value? (a) 3 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -2 (b) 24\/11 (c) -0.4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 5. Let h = -3905 - -3911. What is the fourth biggest value in -1\/5, 0.2, h, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13307 and -106455\/8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 4, u: 1, t: 2}. What is prob of picking 1 u, 1 t, and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5772\/(-728) + (-1)\/14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -b - 3*d, 7*b - 38 = -14*d + 11*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11422950*g + 11422952*g - m = 59, -4*m - 196 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139 by 12.\nAnswer: -139\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -153 + 23*q**3 + 153 - 2 - q**3 + 2 + q**3 - 2*q**3 + 0*q**3 + (-3*q - q + 3*q)*(-2 + q**2 + 2) - 8*q**2 + 4*q**3 + 8*q**2.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -16651\/17, 2, -34?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kksksksxlkksxkbsss. What is prob of picking 1 s and 1 x?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + m**2 + 4*m - 7. Let c be x(2). Let p(w) = w**3 + 3*w**2 - 3*w - 4. Give p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1223844*-92.\nAnswer: 11.2593648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5*q**2 + 121*k**2*q**3 + 7*k*q**3 + 9*k*q**2 + 3*q**3 wrt k?\nAnswer: -40*k**3*q**2 + 242*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide -1 + 2\/9 + 592\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 875 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5244 and 23\/427538.\nAnswer: 59000244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252928 by 4.\nAnswer: 63232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 35 = -3*v, 4*v - 4*o + 0*o = 40. Suppose -5*s + 5*l - 10 = 0, -s - v*l = -0*l - 28. Solve -4*d - s*i + 7 = 0, i - 1 = -3*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.7 + -0.3. Suppose 0*o + 3*o = 3. Let a be o*-3 - 19\/(-7). Sort g, -0.4, a in descending order.\nAnswer: a, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 88 in descending order.\nAnswer: 88, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 30*o = -31616. Suppose m - o = -2*t - m, 4*m = -5*t + 6076. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlllllllljjjjlljll. Give prob of sequence jxl.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 7*o. Let n = 21 - 27. Let z be q(n). What is the greatest common factor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 times -0.6?\nAnswer: -61.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1)**2.\nAnswer: 18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1193, -1189, -1151, -1061, -901, -653, -299?\n\"Answer: 3*m**3 - m**2 - 14*m - 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1025?\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-19)*(-30)\/(-2205).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4341 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 58212, 116421, 174630, 232839, 291048?\n\"Answer: 58209*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a**2 + 8580*a + 191663. Give f(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -145*x**2. Let h(u) = -u. Calculate h(b(p)).\nAnswer: 145*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 5, v: 3}. Give prob of sequence vk.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 30*i - 100. Let f be k(26). Calculate the remainder when 74\/f + (-63)\/(-42) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -20*o**2 - 288*o - 339. What is z(-15)?\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.187 and -58.\nAnswer: 358.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (5 + sqrt(2)*-2)**2.\nAnswer: -20*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4860, 14 in increasing order.\nAnswer: -2, 14, 4860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2231267.4us?\nAnswer: 0.0006197965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4431761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 730139 to the nearest ten thousand.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/2 + -1 - 737\/(-18224)*-136.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/8 - (-6 - -4). Suppose -5*n + 3*h - 1 + 25 = 0, -4*h = -2*n + 18. Let y be (5\/n + -2)\/(1\/6). What is the nearest to 0 in p, 1\/2, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjej when four letters picked without replacement from {l: 1, g: 2, j: 2, x: 1, a: 1, e: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -47.9, 4, 0.005, 0.3 in decreasing order.\nAnswer: 4, 0.3, 0.005, 0, -47.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 24. Let f(t) = 8*t**2 - 22*t + 55. Let b(a) = -2*a**2 + 6*a - 15. Let u(c) = 22*b(c) + 6*f(c). What is u(m(x))?\nAnswer: 16*x**4 + 384*x**2 + 2304","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 123259314 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viviiiveiiviiviive. Give prob of sequence eve.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -4961, -4 in descending order.\nAnswer: 53, -4, -4961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3139?\nAnswer: 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + f + 19 = -16*z, z = -2*f - 22. Let b be 1\/4 - 76\/(-16). Put 2, z, b in ascending order.\nAnswer: z, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = -10*i - 93. Suppose 19*v + 1222 = 32*v. What is the remainder when v is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 6. Let f be i(-2). Suppose f = 5*p - 5*r - 315, 2*p + r - 127 = 2*r. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*y**3 - 277*y**3 + 540*y**3.\nAnswer: -233*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {j: 1, o: 3, z: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8 + 1 + 7 + c**3. Calculate the remainder when 15 is divided by i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 470698, 470525, 470054, 469135, 467618, 465353?\n\"Answer: -25*g**3 + g**2 - g + 470723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105719\/18 - 5878. Find the common denominator of 13\/57 and u.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4253713 and 1527.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2 (c) 13.1 (d) -5 (e) 3487 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115 * 0.77613.\nAnswer: -89.25495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133486 and 14198?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/30 + 29*b**4\/6 - 18*b**3 - 3*b**2 + 42*b. Let o be g(54). What is the highest common factor of o and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17636, 1 in ascending order.\nAnswer: 1, 2, 17636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9151889233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 - -3102 - 22\/2. Calculate the greatest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3112258 to 3 dps.\nAnswer: -0.311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, m: 5, g: 3}. What is prob of picking 3 g?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 439538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x - 2*x + x)*(-2 + 3 - 5) + 0*x + x + x + (-1 + 1 + x)*(-1 - 2 + 2) + 2*x - 2*x - 2*x + x - 4*x + x)*(-7*x - x - 2*x)*(-1 - 2 + 2).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*i - 2. Let l = -2 - i. Solve 5*u + 0*u + 5 = l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 6450?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9683415105 + -7300.\nAnswer: -9683422405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2. Let w(u) = 1903056*u. Calculate s(w(i)).\nAnswer: -7243244278272*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 443395273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 942 and -1.35?\nAnswer: -1271.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Suppose -s + 6 = j. Suppose 4*a = z + 8 + 3, -3*a - 3 = -s*z. Solve z*m + 3*n - 8 = 0, -m - n + 4*n = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 0*d - 3*d)*(18 + 31 + 67 - 21) in the form o + v*d and give v.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2. Let b(p) be the first derivative of p**2\/2 + 7*p - 14. Let k be b(-4). Solve i*t = t + k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 - 7*q**2 + 8*q**2 + 5*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -90, 0, 7, 16 in decreasing order.\nAnswer: 16, 7, 3, 0, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186124, -372250, -558376, -744502, -930628?\nAnswer: -1116754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 135326763 to the nearest one hundred thousand.\nAnswer: 135300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -2*a. Let g(w) = 3 - 2*w + w**a + 4 - 4. Determine g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1097, -1055, -1013, -971, -929?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o + o - o)*(-o - 5*o + 4*o) - 1 - o**2 + 1)*((-1 + 5 - 2)*(1 + 0 - 2) + 2 + 3 - 6 + 0 + 1 - 2 + 0 + 1 - 2).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34, 35, 36, 37, 38, 39?\n\"Answer: c + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:13 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12658 + 12658.0133567. Let d = -0.1133475 + i. Let o = d - -0.1. Round o to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3221 - 129*s + 1608 + 1612 + (-3*s - 2*s + 2*s)*(3 - 3 - 1) - 5*s + 0*s + 3*s.\nAnswer: -128*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + -278. Let w = -456 - f. Let j = 157.00695 + w. Round j to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343 is divided by 127?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 127 = -4*v - 3*d, -3*v = -2*d + 99. Let f = 17 - v. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**3\/3 + 1. Let g(k) be the second derivative of 83*k**4\/12 + 2799*k - 7. What is n(g(l))?\nAnswer: -6889*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9032009 plus -247?\nAnswer: 9031762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1711 + -786. Does 37 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28\/3 (b) -58\/135 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 52, 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.703 at most as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36\/5, 18, 127369?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3044 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 76.2 (c) 2 (d) -2\/13 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 12:22 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*d**4 - 21*d**3 + d**2 - 3*d - 411.\nAnswer: 3720*d - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:21 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0866? (a) 0.5 (b) 4 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/3 (b) -1\/3 (c) 0.2 (d) 1664 (e) -0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571544 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -93*((-25)\/(-15))\/(-5). Let k = 29 - a. Sort 3, 1, k in descending order.\nAnswer: 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3 - 2\/3*n + 1\/3*n**2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300993607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2159069481 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2015427 (base 9) to base 4\nAnswer: 10012010131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**2*v**3 + 290*k**2*v**2 + 2*k**2 + 2*k*v**4 - 170*v**3 wrt v.\nAnswer: -18*k**2 + 48*k*v - 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-60)\/8)*(-116)\/261?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 p when two letters picked without replacement from {i: 1, u: 7, q: 4, p: 6}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*g - 14 = 11, -2*g + 5 = -n. Let b = 6 + n. Is (b - 0)*(-159)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -66*f**2 + 1365*f + 458. Determine j(21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 41. What is the lowest common multiple of 2 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (156\/(-1638))\/(3\/7). Let x be 0\/2 - (-10)\/(-6). What is the nearest to s in -2, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(6\/(-69) + (-63)\/69). Suppose 3*l - 5*b - 337 = j, 2*l - 4*b - 228 = -0*l. Calculate the lowest common multiple of l and 117.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 6. Let f(j) = 5*j**2 + 2*j - 1. Let g be f(z). Suppose -5*d + 9 = -g. Solve -d = 4*u - 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1233 - 1098. Calculate the highest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15271 at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1168869 and 111930.\nAnswer: 81820830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -454.88 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 451*y**2 - 4842*y + 892. Calculate s(440).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Let z = 22 - 13. Let v = -3 + z. Calculate the highest common factor of v and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/(-12)*(-254)\/(-381)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.195386 and -0.12.\nAnswer: -0.315386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -323*(-11)\/(22\/18). Let p be (-2)\/(-11) - d\/561. Let s(n) = -n**2 - 4*n - 2. Calculate s(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5997 or -5998?\nAnswer: -5997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5895 + -3347. What is x rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -342 + 356. Suppose 11*u - s*u = 4*d - 5, -u - 30 = -5*d. Solve 2*r - 6 - 2 = 4*b, d*r + b - 9 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*sqrt(1700)*2 + (-5*(sqrt(1700)*-2 - sqrt(1700)) - sqrt(1700)) + -2*(sqrt(1700) + sqrt(1700)*-2) + 3)**2.\nAnswer: 600*sqrt(17) + 170013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 0.4, -29\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*s - 793800 = -6794*s for s.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -231 - -232.508. What is m rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 14) + (-11 - -16) + 1 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14220324 + -532?\nAnswer: 14215352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038934459 to 5 decimal places.\nAnswer: -0.00389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (207\/(-460))\/(6\/5)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -m + 5*c, 5*m + 3*c - c - 9 = 0. Suppose 0 = h + 5*p - 29, -m*h = -0*h - 4*p + 8. Sort 1, -68, -2, h in decreasing order.\nAnswer: h, 1, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/4, 0, 650, 0.2, 2, -0.09, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 150 + 36. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/1)\/(-7 + 5). Suppose k = 2*g + 2*g + 4*i - 1220, -3*i + 1222 = 4*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 20. Let s = a + 0. Suppose 0*r - 12 = -4*r. Calculate the highest common factor of r and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2647669.\nAnswer: 19, 331, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*l + 11 = 0, -4*c = -2*c + l - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5 + 6 - o - 2 - 2. Let y be a(7). Let i(z) = -z + y*z + 3*z. Let u(l) = 2*l. What is u(i(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 79*c**2 + 113*c + 909. Is y(-9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2175\/50401 or 1?\nAnswer: 2175\/50401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -601\/213 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*l - 4*l**2 - l**2 - 56*l - 4 + 3*l**2 to the form a*l + z*l**2 + m and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18)\/((-13)\/(-39)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.549 and 126?\nAnswer: -69.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 7:51 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f. Suppose 4*w = s + 1 - 18, 5*w = 3*s - 30. Suppose f = s*n - 406 - 2059. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**3\/6 + 271*n**2\/2 - 27336*n - 83232 = 0.\nAnswer: -3, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 6:12 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1541.37077407?\nAnswer: -1536.37077407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -a + 5*i, -5*i - 8 + 26 = 2*a. Let h be 2\/(-4)*(-56)\/18. Suppose -10\/9*q**3 + 0*q + 0 - 4\/9*q**2 + h*q**a = 0. Calculate q.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4387885.\nAnswer: 5, 877577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - 3*u + 2. Let k be h(1). Suppose 0*q = -5*q + k*c + 254, 4*c - 192 = -4*q. What is the smallest common multiple of 1\/(-1) + (q - 31) and 5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3773478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*w - 630 - 529 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 18992?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20364 and 588?\nAnswer: 997836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 373*t**2 - 3*t - 70. Let u be p(-15). Round u to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 6405973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*-2 + sqrt(1053) + -2*sqrt(1300).\nAnswer: -29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -0.05 (c) -10 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -482829*0.4\nAnswer: -193131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10274.631 seconds to minutes.\nAnswer: 171.24385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*h*r**3 + 4314278*h*r + 2509*r**3 + 5*r**2 wrt r.\nAnswer: -168*h*r + 15054*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(sqrt(65) - sqrt(65)*-4)\/sqrt(5))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p - 2*u, -2*u - 10 = -2*p - 4*u. Let m be (10 + -1)*p\/6. Suppose -m*l + 86 = 2*y, -78 = -2*l - 3*y - 24. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -7*z**5\/60 + z**4\/24 - 4*z**2. Let x(t) = -3*t**2. Let q(l) = -3*d(l) + 5*x(l). What is the second derivative of q(f) wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.02993mm to centimeters.\nAnswer: 1.702993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 77, 1\/6 in ascending order.\nAnswer: -22, 1\/6, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 585 - -3636. Suppose -8*r + 4387 = -q. Round r to the nearest 10.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8)*16\/48*-12. Let b(v) be the first derivative of 13 - 7\/3*v**3 + 5\/2*v**y - 36*v. What is the first derivative of b(n) wrt n?\nAnswer: -14*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 2021*s**8\/168 - 233*s**5\/20 - s**4\/24 - 881*s**2 - 2. Find the third derivative of q(r) wrt r.\nAnswer: 242520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y = -11*k - 73869, 2*k + 8 = 0. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j - o, -5*j + 3*j - 4*o - 2 = 0. Solve 0 = a - 0 - j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169064?\nAnswer: 2, 3, 13, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eooosooosooosooeooes. What is prob of sequence eo?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-2 + sqrt(12) + sqrt(12) + sqrt(132)\/(sqrt(55)\/sqrt(5)))\/((sqrt(72)*-2*-1)\/sqrt(12)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12215196 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10926 - -5621. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -96. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672, 688, 720, 774, 856?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 0*s + s - 16*s**2.\nAnswer: -16*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -326 - 1444 + 3994*z**4 - 1500*z**4 - 1249 wrt z?\nAnswer: 9976*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 5*s - 25, 0*s - s - 15 = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:13 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) -21\/2 (b) 45 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 13\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - 2*sqrt(720)) + sqrt(45) + 5)**2*5.\nAnswer: -450*sqrt(5) + 2150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 2*w**2 + 7*w - 10. Let n be x(2). Let u(s) = 880*s + 51. Is u(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 165\/22)*8\/10. Is (14675\/d - -2)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191221 a multiple of 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45505 + 233*j - 45505 - j**3 - 131*j**5 wrt j.\nAnswer: -2620*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**3\/6 - 19*r**2\/2 - 12*r + 7. Give t(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 5*l**2 + 3*l - 1. Let s be t(-6). Calculate the remainder when 12 is divided by 18\/30 + s\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l - 3*u - 21 = 0, -5*u = l + 27. Let p be 21\/27 - (-12)\/54. Is (l\/p)\/(4\/(-52)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = 47. Let j = f + 53. Find the second derivative of -3*t**3 + 0*t**3 - 3*t**3 - 8*t + 0*t**j wrt t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -248*i + 34 + 508*i - 29*i + 551*i - 35 to q*i + c and give q.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y\/y**23))\/y)\/y)\/y)\/(y*y**(-13\/6)) assuming y is positive.\nAnswer: y**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 2 - 2*u**2 + u**2 + (u - u - 2*u)*(-u + 0*u + 0*u).\nAnswer: u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136132, 544526, 1225188, 2178118, 3403316?\nAnswer: 4900782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -25*r**2. Let h(w) = -8*w**2 - 2. Calculate h(g(a)).\nAnswer: -5000*a**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3388 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 142 - 1054 - 232 + 1346*p wrt p.\nAnswer: 1346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546\/22 - (-8)\/44 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.61, 4\/7, 2\/9.\nAnswer: -0.61, 2\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 u when four letters picked without replacement from {u: 3, h: 15}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 7*f + 7. Calculate the lowest common multiple of 2 and y(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766 - 68 = -5*r + 2*u, 4*r = -4*u + 656. Let t = r + -6. Is t a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3 and 82\/290317065.\nAnswer: 290317065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 5*d - 2. Suppose -4*x - b = -13, 3*b = -6*x + 4*x - 1. Suppose -t - x = 1, u = -t + 15. Suppose 5*j = j + u. Determine r(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2, 74\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 739, 3, -2, 11, 4, -5 in ascending order.\nAnswer: -5, -2, 3, 4, 11, 739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -763*w**2 + w - 990. Let c(s) = -s. Determine q(c(d)).\nAnswer: -763*d**2 - d - 990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.252 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26518731*k**6 - 58550*k**2 - 346?\nAnswer: -3182247720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/1 + -163 + 163. Solve 7*x + 2 = m*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*h**3 - 6*h**4 - 4*h**4 - 220*h**2 - 40*h**3 wrt h.\nAnswer: -240*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*t - 96*t - 106*t + 436*t - 125*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36399.03 litres to millilitres.\nAnswer: 36399030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l. Let w = l - 0. What is the first derivative of 0*n + w - n + 1 wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7188792\/18 + 18\/(324\/30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91815535 to the power of 1\/3, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 15 + 15)*(-8*n + 13*n**2 + 8*n + (-2*n - 2*n + 3*n)*(-n - 4*n + 3*n)).\nAnswer: -30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1236 + -1167. What is the highest common divisor of d and 805?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6201 divided by 6201\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-145)\/(-60) + -2). Suppose -60*r + 15*r = 90. Are z and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6534 (base 9) in base 14?\nAnswer: -1a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 9) + 76 - (-7 - -10 - (-3 - 2))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1529 + 286 - 13503 = 202*q for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*95\/20*(2 + 0). Let q = u - 4. Let w = q - -40. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 2*c**2 + c - 25. Calculate z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p + 0*p)*(43*p**3 - 8*p**3 + 28*p**3).\nAnswer: 126*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -981.71896 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 954, 950, 944, 936, 926, 914, 900?\n\"Answer: -w**2 - w + 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -89, -127, -165, -203, -241?\n\"Answer: -38*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*a**6 + 60*a**5 + 2*a**3 - 238*a**2 + 6*a - 1 wrt a?\nAnswer: -6480*a**3 + 3600*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*d**3 - 72745 + 50*d**3 - 83433.\nAnswer: 231*d**3 - 156178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -3\/8, 13, 43, 2 in ascending order.\nAnswer: -9, -4, -3\/8, 2, 13, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2251076*d*q + 2427169*q wrt d.\nAnswer: 2251076*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -20*l + 4. Let d be i(-4). Let j be (-1*d)\/((-6)\/4). Let t = 79 - j. Solve 6 = -a + 1, t = -3*k - 4*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 14 - 1729 - 1413)*(-3 + 0 + 2*s + 5).\nAnswer: -4*s**2 - 6260*s - 6256","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(637)*-2 + -3)**2 - (0 + (-1 + sqrt(637) + 2 + sqrt(637))**2).\nAnswer: -56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 20, -37, -128, -259?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -207, -197, -187?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 77951 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 242 - 232 = 5*m, -13 = -4*m + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**7\/840 + s**6\/240 - s**5\/24 + s**4\/6 - 2*s**2. Let f(i) be the second derivative of o(i). Is f(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 9*b + 3*f = -81, -b - 3*f + 36 = 0. Calculate the remainder when 152 is divided by b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-400)\/(-35) + (-12)\/(-21). Let h be ((-3)\/(-2))\/(g\/(-16)). Put h, -3, 1 in increasing order.\nAnswer: -3, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/11? (a) -0.2 (b) -0.011 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a\/(a*a**(-11))))\/a))\/a*a*a**(-3\/5)\/a)**(-1\/19) assuming a is positive.\nAnswer: a**(-52\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1993979\/30 + -66472. What is the common denominator of (-2 - -3) + 166\/(-90) and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)\/(i\/((i*i*i*i**4*i*i)\/i)))\/((i*i**1)\/i)**(-4\/3))\/((i**(-1\/3)*i)**(4\/21)*(i**4\/i*i*i)\/(i*(i\/((i\/(i\/i**(4\/3)))\/i))\/i*i)) assuming i is positive.\nAnswer: i**(181\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-828)\/(-108)*(-15 + 12)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2283533 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48086.07 years in decades?\nAnswer: 4808.607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 r when four letters picked without replacement from {r: 1, c: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220567, 220563, 220559?\nAnswer: 220555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -3*h - 12, -2*h + 13*v - 12*v = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 280*a - 282*a - 20 = 0, -2*n - 2*a = -10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 827 * -0.05.\nAnswer: -41.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 30, 4 in descending order.\nAnswer: 30, 4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**4\/24 + 17*l**3\/6 + l**2. What is s(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.166 and -4?\nAnswer: -0.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {a: 3, c: 4, h: 1, s: 1, y: 2, t: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 18 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 224161.9g?\nAnswer: 0.2241619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:11 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 = -5*p, 5*x - 21 = -2*p - 6. Suppose p*q = -2*q. Which is greater: q or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6733 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1 - 14*h**3 - h + 1. What is the remainder when 1*(11 + 0)*4 is divided by b(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11421 and 567431?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 13. Let q be r(11). Solve 4*m - m + 13 = -5*i, -q = 3*i - 4*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 56*f - 16. Let i(w) = 4*w**2 + 223*w - 70. What is 3*i(s) - 13*j(s)?\nAnswer: -s**2 - 59*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5\/11 + 3010*z**4\/11 - 34222*z**3\/11 - 2403730*z**2\/11 = 0.\nAnswer: -23, 0, 35, 1493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -184?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h + 38. Let o be z(-7). Solve -s + 6 = -o*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = 5. Let w be 17\/(-5) + t\/(-5). Let j(c) be the third derivative of c**5\/15 + 2*c**2. Let v(a) = -2*a**2. Calculate w*j(x) - 5*v(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(13 - (-23 + 30))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 307026450*r**5 + 599234670*r**4 - 1901447059*r**3\/2 + 44439250*r**2 + 46313*r\/2 + 3 = 0.\nAnswer: -3, -1\/3870, 2\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/(sqrt(8) - sqrt(8)*-2))\/(2*sqrt(512) + sqrt(512) + sqrt(512)).\nAnswer: sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2218*z**3 + 4*z + 5. Is 24 a factor of b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + 0*u + 0*u + (1 - 2*u - 1)*(u**2 + u**2 - u**2) + 3 - 3 - u**3 + 3*u**3 - 153 - 3635*u + 3635*u.\nAnswer: 2*u**3 - 153","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003655 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3 - 5 - 688*p - 4 + 689*p. Determine t(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 - (-475 - -268) - (0 - -3)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566028.7 centuries to millennia.\nAnswer: 56602.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 7*v - 4. Let z be b(13). Let f = z - -89. Factor -15*t**4 + 36*t**5 - 31*t**5 - 15*t + 5 + 3*t**3 + f*t**3 + 10*t**2.\nAnswer: 5*(t - 1)**4*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 34 = -54. Solve -w = k + 1, 3*k + w + p = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 8 = -4*u, -2*a - 3*a + 3*u + 5 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 296460346 = 314839654. What is m rounded to the nearest 1000000?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37595*c**2 - 13*c*u - 11*c + 13710389*u with respect to c.\nAnswer: -75190*c - 13*u - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101701?\nAnswer: 101701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1 + 1 + -1. Let d(x) = -x**2 + 21*x + 257. Let i be d(28). Let r(a) = -i - 4*a**p + 61. Let b(n) = 3*n**2. Give r(b(u)).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 65, 151, 307, 557, 925, 1435, 2111?\nAnswer: 2977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 - -163. Suppose -p = 4*p - 15. List the prime factors of (p*(-3)\/r)\/(10\/(-2950)).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69561674 or 69561675?\nAnswer: 69561674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3662*s**3 - 664*s**3 - 3232*s**3 + 531*s**3 + 715*s**3 - 442*s**3.\nAnswer: -6754*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 69172411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 >= -31370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/(10\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*k - 72 = k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -13384*b + 13382*b + l, 0 = 5*b - l + 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 81*c**2 - 16*c - 138. What are the prime factors of p(-7)?\nAnswer: 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20801 - 20705.43. Let v = y + -97. What is v rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/1630986 and 39\/14.\nAnswer: 1630986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 681 + -670 - (-5 - (4 + 56)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 921610195?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22202\/(-1870) + 136\/(-187) - (6 - (13 - -5))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -29\/24*x**4 + 3\/2*x**3 + 0 - 39*x**2 + 0*x. Differentiate a(s) with respect to s.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -2*s - 18, -j + 24 = -4*s + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*z = -5, -5*t - 4*z = 44 + 1. Sort -3, 2, t in descending order.\nAnswer: 2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/4 - 7*t\/2 + 12 = 0. What is t?\nAnswer: 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/21)\/((-3)\/(36\/(-14))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q + 1. Let i(a) = -5*a - 1. Let s(f) = 5*i(f) + 4*z(f). Suppose 2*u = -2*l - 8, 0 = u - 4*l - 382 + 366. Calculate s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6764 + -13527\/2. Determine h, given that -2*h - u*h**2 - 2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -17*h + 168. Solve -7*y - h = -49 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 - 2*u**3 + u**4 + (16 - u**3 - 16)*(0*u - u + 3*u).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37199.028 + -37310. What is g rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, n: 1, m: 1, f: 1}. Give prob of sequence ft.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*h**3\/3 - 2458*h**2\/9 + 50266*h\/9 + 3362\/9.\nAnswer: 2*(h - 41)**2*(15*h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.022 and 2302011254160.\nAnswer: 2302011254160.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 579.06 - 579. Do g and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 4:05 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/13)*f*f**15)\/(f\/(f**(-1\/9)\/f))**(-1\/4))**(-1\/24) assuming f is positive.\nAnswer: f**(-7591\/11232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*y + 27*y, -6 = 2*l - y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = 12*g - 988. Calculate the remainder when g is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14*1\/2*1. Let m = t - -27. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8120 divided by 40?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -5*sqrt(242)*-2)\/(sqrt(132)\/sqrt(3)))\/(((sqrt(99) + 1*sqrt(99) - sqrt(99))*4 + sqrt(99))*2).\nAnswer: 11*sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 360599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7665*-2.\nAnswer: 15330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 399, 2301, 5727, 10671, 17127, 25089, 34551, 45507?\n\"Answer: -j**3 + 768*j**2 - 395*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*t - 5*y - 15, t = 2*y + 9. Suppose -n + 4*c + t + 3 = 0, c + 12 = 3*n. Calculate the smallest common multiple of n and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233 - -2806119.\nAnswer: 2805886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 + 149 = -5*y. Let q = y - -170. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -40 (b) 2\/17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81008800 and 40504400.\nAnswer: 81008800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2445 divided by 2099\nAnswer: 2445\/2099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 156 = 2*r, 3*r = -5*g + 60 + 152. Suppose r = d + 22. Find the first derivative of 23*z + 21*z + 22 + 19*z - d*z wrt z.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5) - 17*221\/4335.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6188 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20)\/(-12) + (-5)\/((-15)\/652)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14a53a (base 11) to base 7\nAnswer: -1661654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -3.1 (b) 0.4 (c) 1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*b = -l - 12, l = -2*b + 9. Let j(n) = -n + 6. Let g be j(6). Suppose -l*k = -u - 13, -4*u = -k - g*u + 8. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -3\/4, -2\/9, -229?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 108384828, 108384832, 108384836?\n\"Answer: 4*k + 108384824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*c + 892, 4*k - 2*c - 892 = -7*c. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -795254 divided by 53?\nAnswer: -795254\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4407585 and 12285?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**8*n)\/n**8)\/((n\/n**(1\/7))\/n**(1\/9)))**(-4\/29))**(-2) assuming n is positive.\nAnswer: n**(632\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwfwzfwzzfzzzzzfzzzz.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 166383250 + 1?\nAnswer: 166383251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 42 = 3*u + 3*h, -3*h + 27 = -2*u. Let w = -5 - u. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baabbaabbabaababbabb. What is prob of picking 4 b?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*m - 10 - 4, 3*m - 15 = 0. Suppose -16 = n*c - 2*c. What is the third smallest value in c, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2092 minus 94.586183?\nAnswer: -2186.586183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 120\/7 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 50. Solve -2*g + 2*o = 2, -v*g - 4*o + 5 = o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699789 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 3*f, -36 + 27 = 3*f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 160. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bc8 (base 13) to base 15.\nAnswer: 13b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 18 - 2, -b = -2*o + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-233)\/(51260\/2244)*(-5)\/1\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 76\/32 + (-6)\/16. Suppose -2*i - s = -j + 3*j, i + 2*j = -3. 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 the smallest common multiple of 21 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {a: 9, d: 3}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1417 or 26914\/19?\nAnswer: 26914\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 20*f**2 + 67*f - 7. Let y be w(4). Solve 9*v = 7*v - y*u, 0 = -3*v - 2*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310581?\nAnswer: 17, 77093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10\/9 (b) 4 (c) -5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 762326484 minus -13363?\nAnswer: 762339847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 2*h)*(-2*h + 2*h - h**4) - 2*h**5 + 2*h**5 - h**5.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23330234 (base 5) to base 15.\nAnswer: 43814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 274560 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4500, -4521, -4564, -4635, -4740, -4885, -5076, -5319?\n\"Answer: -g**3 - 5*g**2 + g - 4495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 2\/5 (b) -0.1 (c) 19 (d) -1\/5 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 13*w - 2. Let d be j(-6). Suppose -r = -4*s + 87, -d = -2*s + 7*r - 3*r. What is the lowest common multiple of s and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 10 + (18 - 22)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 10*o + 24. Suppose o*b + 156 = 7*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 - 6*c - 61. Let v be r(-5). Solve -f = -64 + v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2)\/((-2)\/6). Solve o - p*o - 3 = q, -q = -o + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*67.07\nAnswer: -33.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -842 + 918. What is the smallest common multiple of 12 and z?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 1, 7, 4 in decreasing order.\nAnswer: 7, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 886.7797 years in millennia?\nAnswer: 0.8867797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-5 - (-12 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8492 - 4405 - 4225)*(-c + c - c**2) + (76 + 2*c - 76 - c**2)*(2 + 1 - 4) as f*c + t + l*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(2))\/sqrt(3) + (sqrt(120)\/sqrt(6))\/sqrt(4))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a day in hours?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/144 and 181\/1189800?\nAnswer: 2379600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82.4 - 946410.\nAnswer: -946327.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -740 (base 8) to base 12\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 24*a + 1\/2*a**3 + 2 + 0*a**2. Let f(q) = -2*q**2. What is g(f(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12*1167.599\nAnswer: 14011.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -381, -136, 539, 1860, 4043?\n\"Answer: 36*z**3 - z**2 - 4*z - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*n = -1700*n + 12252 + 14489 - 2245. Find t, given that -44*t**3 - 56*t + n + 13*t**4 + 72*t**2 - 3\/2*t**5 = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 34426?\nAnswer: 34428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r + r - 3*r)*(-1 + 0 + 2)*(-4 - 33 - 15) to the form h*r + c and give h.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.99 - -0.18. Let y = 54.19 - s. Let q = y - 54. Which is smaller: q or -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1146 + 2295 - 8*x - 1143 - 5*x.\nAnswer: -13*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 109\/1*(2 - 1). Suppose -96*q = -v*q + 46839. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7*z + 2*z + 68, -3*z = -g - 44. Let j = z - 8. Let p = 0 - -20. What is the greatest common factor of p and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 14 = -58 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3 + 3)*(2*q**2 - q + q) + 0*q**3 + 4*q**3 - 3*q**3 + 43*q**2 + 11*q**2 - 54*q**2 - 377*q**3.\nAnswer: -374*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.64 and 0.3?\nAnswer: 0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4791556 (base 11) in base 9?\nAnswer: 16632382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416 is divided by 45.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**8\/6720 + l**7\/3360 + l**6\/1440 - l**5\/480 - 5*l**3\/6 + 5*l**2. Let f(y) be the first derivative of a(y). Factor f(x).\nAnswer: -x*(x - 1)**2*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:45 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 58*f - 36. Let n be z(2). Calculate the greatest common divisor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 6 (c) -11691 (d) -15 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474750.2 tonnes in micrograms?\nAnswer: 474750200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1972739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 - 10 = 4*x, 3*x = 5*c - 45. Calculate the greatest common divisor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115405 (base 6) to base 15.\nAnswer: 30bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/6 - 79*w**3\/6 + 13*w**2\/2 - 119*w. Is o(40) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -5\/4 (c) 1\/5 (d) -5 (e) 665\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72672 - 138996 = -177*d - 78006 for d.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -10 - ((32 - 6) + -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 68, 107, 150, 197?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 12182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 85601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 13*x - 240 = 0. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136838.1um to kilometers.\nAnswer: 0.0001368381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203 - -199. Let z be 32\/20 - (-2)\/5. Which is the smallest value? (a) m (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = 45. Let r be (-2)\/(((-26)\/(-39))\/(4\/(-6))). Suppose s = 4*o - 3*m, r*o + 5*m = 16 - 5. Solve 10 = -o*g - 2, -4*b = -5*g - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/12308 and 139\/9288.\nAnswer: 28579176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**3\/6 + 3*w**2 - 4*w. Let d be x(7). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m - 2*m - 2*m)*(m + 0*m - 3*m)*(34 - 32 + m + m)*(-1 + 24 + 18) to k + i*m**2 + h*m**3 + u*m and give h.\nAnswer: 2132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j + 4586 - 4568 + 670*j**2 - 669*j**2. Give i(9).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 48*x**2 + 6*x - 7. Let g(k) = -49*k**2 - 7*k + 8. Let n(t) = 2*g(t) + 3*s(t). Suppose 0 = -4*z - 1 + 9. Is n(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1400485 and -0.55?\nAnswer: 0.4099515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 1c17?\nAnswer: 1c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 106 - 78 = -2*j. Solve a - j - 2 = 4*h, -14 = -2*h - 5*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.06873 + -0.06873. Let d = 0.4 + 0.6. Which is the nearest to d? (a) -4 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 50, -4, -2, 2.\nAnswer: -4, -2, 0, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6152, -13069, -20764, -29243, -38512, -48577, -59444?\n\"Answer: -j**3 - 383*j**2 - 5761*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1672020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 - 92*o + 27. What is the tens digit of l(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**6\/720 + g**5\/60 - g**4\/8 - g**2. Let u(z) be the second derivative of x(z). What is the derivative of u(n) wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5402 - 10803\/2. Let l(f) be the third derivative of 3\/16*f**4 + o*f**3 + 1\/40*f**5 + 0 - 7*f**2 + 0*f. Determine i so that l(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 137 = 4*b, -5*a + 3*b + 69 = -65. Factor 36 - 26 + 14*t - a*t**2 + t.\nAnswer: -5*(t - 1)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/12 + 320\/20 + 16\/((-576)\/573)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440709 to the power of 1\/2, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455276454 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 10*i**9\/9 + i**6\/60 - 223*i**5\/60 + i**4\/12 + 2*i**2 - 249. Find the third derivative of v(d) wrt d.\nAnswer: 67200*d**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*r + 25*r + 29*r - 20 to the form z*r + g and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + z**2 - z + 3. Let o be b(0). Let k be 20\/6*1*o. Solve -3*m = -2 - k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*-2*(-54)\/144?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(147) + sqrt(147))**2 + 3)*6 + 0.\nAnswer: 672*sqrt(3) + 14208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1349292112 rounded to five decimal places?\nAnswer: 1.13493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -7. Let x be 3535\/15 - w\/(-3). Suppose 0 = 3*j - 2 - x. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**2\/5 - 34600*q + 691984\/5 = 0.\nAnswer: 4, 172996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b. Let o(u) = -4*u + 1. Let h = -510 + 508. Determine h*o(p) - 3*t(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 50*k**2 + 370*k + 734. Let j(o) = -2*o**3 - 50*o**2 - 369*o - 736. Let y(r) = -4*j(r) - 5*n(r). Let y(m) = 0. What is m?\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 7. Let f = -0.020391 - 1.979609. Let h = 2563\/6792 + -2\/849. Which is the smallest value? (a) 3 (b) z (c) f (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - -2 - (-10)\/5. Let z(p) = p**2 - 6*p + 1. Give z(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 309427738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-106*p**2 - 9*p**5 + 106*p**2) - p**5 + 11*p**3 - 11*p**3 + 3*p**2.\nAnswer: 8*p**5 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36b24 (base 13) to base 10.\nAnswer: 100754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*d**4 + 1 + 2 + (9 - 18 - 6)*(-26 - 2*d + 26)*(9 + 0 - 5)*(-d**3 + d**3 - d**3) to the form r*d + y*d**4 + p*d**3 + v*d**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578117 != 1578116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 262630.62 months?\nAnswer: 2188.5885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5281858*b - n = -5281849*b - 27, -2*b = -4*n - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-9))\/(-1*(-4)\/(-12)). Let l(f) = 1 - 7*f - f**2 + w*f + 3*f - 5*f. Let i(n) = -n**3 - 5*n**2 + 6*n - 7. Let j be i(-6). Determine l(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2624686838?\nAnswer: 2, 1301, 1008719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -87567 take away 392321?\nAnswer: -479888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1311, -1308, -1295, -1266, -1215, -1136, -1023, -870?\n\"Answer: l**3 - l**2 - l - 1310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 45. Let c(g) = -26*g**2 - g + g + b*g**2. Let i(o) = -5*o. Give i(c(m)).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 10:07 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 4:45 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**7\/840 - i**6\/360 - 2*i**3\/3 + 3. Let j(m) be the third derivative of t(m). Find the third derivative of j(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 154318, 308704, 463090, 617476, 771862, 926248?\n\"Answer: 154386*u - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1. Let t(i) = i. Let y(f) = -8*f**2 + 11*f - 6. Let s(d) = 2*t(d) - y(d). Let c(j) = -s(j) + 6*z(j). What is the second derivative of c(p) wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 3 + 0)*(1 + 2 - 4) + 0 - 1 + 0)*(4*v - 3*v + v).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54 - -183?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 5*z + 2*z)*(-1 + 5 - 6) + 1 + z - 1 - 18123*z + 4803*z + 8860*z to r*z + d and give r.\nAnswer: -4461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*j**3\/3 + 299215*j**2 + 512976*j + 219852.\nAnswer: -(j - 18321)*(7*j + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4219 * -20.34.\nAnswer: -85814.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c**2 + 0*c**2 + c**2)*(c + 2*c - 2*c) + 2*c - 2*c - c**3)*(685 + 930 - 637).\nAnswer: -1956*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**3 - 7*t**2 - 2*t + 50. Let u(m) = -7*m**3 - 16*m**2 - 5*m + 100. Give 5*p(l) - 2*u(l).\nAnswer: -l**3 - 3*l**2 + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrmrmmm. What is prob of sequence mmrm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + sqrt(187)*1)*4*-5*-2)\/(2*(sqrt(11) + (1*sqrt(77))\/sqrt(7) - sqrt(11) - sqrt(176)*-6)) + -3)**2.\nAnswer: -48*sqrt(17)\/5 + 1313\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 45*n = -108*n - 1855 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*c + 436*c - 122*c as f + m*c and give m.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.23\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 486414 divided by 54046.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3523914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + w + w + 13*w - 17 = 0, b - 2 = 15*w - 21*w for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93921270 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6)\/(-7*4\/(-252)). Suppose -155 = -i - c, -2*i = o*c - 335 + 24. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2.674967 minutes?\nAnswer: 160498020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 + 1 - 2*u**4 - u**3 + u**2 - 3*u + 3*u to the form n*u**2 + m*u**4 + i*u**3 + t*u + r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (33\/9)\/((2\/((-168)\/35)*-4)\/(-15))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-24))\/((-2)\/6) - 5. Let d be j\/24 + (-2904)\/(-64). Calculate the greatest common factor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -152 - 69. What are the prime factors of o?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -5\/3*k**3 + 70*k - 65\/2*k**2 + 38. Find l, given that u(l) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42079, -42065, -42035, -41983, -41903, -41789, -41635?\n\"Answer: y**3 + 2*y**2 + y - 42083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5)*(-3 + y + 3).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 36*q - 15. Is j(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*a - 10065 + 4031 = 0 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 1446 - 4540 = 0. Let z(d) = -o + 147 + d + 146 + 152. What is z(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 9427?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2424 and -151\/236568?\nAnswer: 23893368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 10*u**2 + 207*u + 7. What is m(-10)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 598.72 - 611. Let t = q + 12. Let r = -257641.8 - -257642. What is the closest to -0.2 in -0.3, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384 * 0.021\nAnswer: 8.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -0.214, -6 in descending order.\nAnswer: -0.214, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*m**3 - 10*m + 11*m + 51*m**3.\nAnswer: -156*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2981, 2947, 2847, 2645, 2305?\n\"Answer: -6*h**3 + 3*h**2 - h + 2985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/49194 and -139\/32796.\nAnswer: 98388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76564, 76562, 76560, 76558, 76556?\nAnswer: 76554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 0*s - 2*s - 10)*(-2 - 3 + 7)*(19 + 8*s - 19) - 3*s**2 - s**2 + 5*s**2 + (0*s + 0*s + s)*(-s + 2*s + s).\nAnswer: -29*s**2 - 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or 0.05?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 3:09 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -602*v*z**4 - v*z**3 + 5*v + 2505 wrt z?\nAnswer: -2408*v*z**3 - 3*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 845, -22, 5, 0, 3 in decreasing order.\nAnswer: 845, 5, 3, 0, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77479*u + 77396*u - 154965*u + 1620 = 0 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x. Let v(b) be the first derivative of -5*b**2 - 8. Give v(s(a)).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*f + 20 - 14*f + 1755*f**2 - 3*f - 11*f wrt f?\nAnswer: 3510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4745*p**3 + 4 - 2 + 4744*p**3 + 2*p**2 - 55*p in the form b*p + i + l*p**2 + n*p**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {r: 10, d: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 8. Let s be i(8). Let y be 6\/27 + s\/(-9). What are the prime factors of 3 + -3 + 1*y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4502.291 - -4503. Round r to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65454?\nAnswer: 2, 3, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 12 + 21 + 5*j)*(39 - 11 + 58).\nAnswer: 430*j - 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 59.42 and -0.058178.\nAnswer: 59.361822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (350\/(-105))\/(4\/(-72)*6\/4). What is the greatest common divisor of u and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 + 2*i**4 + 9*i**4 + (-2*i + 2*i - i**2)*(-2*i - i**2 + 2*i) + 9*i**4 + 9*i**4 - 14*i + 12*i.\nAnswer: 34*i**4 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 3*u + 1092 = 15*m, -2*m = 3*u - 441. List the prime factors of m.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -822 + 822. Solve f + 3*k - 12 = j, -4*f + 5*k - k - 32 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 46, 43, -5728?\nAnswer: -5728","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - -2*sqrt(68))**2 + sqrt(17) + 3.\nAnswer: sqrt(17) + 615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 21 + 22 + 17 - 115 + 3*m. Determine d(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + 3*i = 32*p + 12, -3*p - 5*i - 8 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u - 56768400 = -89*u. Round u to the nearest 10000.\nAnswer: 2180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16410000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*-5 + (-3)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31690 divided by 5?\nAnswer: 6338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170 - -177. Suppose 0 = x + p*x - 21224. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107532 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11645, -11634, -11609, -11564, -11493?\n\"Answer: o**3 + o**2 + o - 11648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*s + 3*z, -1 = -4*s - 3*z - 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 + 7*b - 29. Let s(f) = f**2 - f + 1. Let c be 35\/(-175)*-25 - (2 - -8). What is c*s(g) - w(g)?\nAnswer: -2*g**2 - 2*g + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529417, 1058843, 1588271, 2117701, 2647133, 3176567?\nAnswer: 3706003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1159 or 1158?\nAnswer: 1158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2136*f**5 - 36*f**3 - 172525*f**2 wrt f?\nAnswer: -128160*f**2 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 31. Solve 0 = d + 3*u + 2 - 8, z*u = 4*d + 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -985 + 992 - 2*9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1846*k + 19*k**3 + 917*k + 929*k + 15*k**3 - 24*k**3.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61518708 * 0.4.\nAnswer: -24607483.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8*q - 44 = 0. Suppose -3*m + 15 = q*d, 6*m - 10 = -2*d + 4*m. Suppose -2*l - 3*l + 140 = d. What is the greatest common factor of l and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43616 or -43397?\nAnswer: -43616","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 248796003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126577376.\nAnswer: 2, 17, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255518, -255260, -254532, -253100, -250730, -247188, -242240?\nAnswer: -235652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13928873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 280 divided by -56\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/165929 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(((i\/((i\/(i\/(i\/(i\/(i**(-1\/23)*i)))))\/i*i)*i)\/i)\/i)*i)*i)**(-13)\/((i**23\/i)\/(i\/i**(-14))) assuming i is positive.\nAnswer: i**(-174\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4\/4 - 267*i**3\/4 + 276*i**2 - 279*i.\nAnswer: -3*i*(i - 2)**2*(i + 93)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 - 111. Suppose i + 193 = 3*l, 0 = -8*l + g*l - 3*i + 279. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*o = 104, 2*u + 5*o - 83 = 21. Let s = 1125 - 1112. What is the remainder when u is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 216.15 - 216.150010659. What is h rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -135.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 11 = -21. Let p be (-47)\/7 + k\/28. Let j = p - -9. Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28645 + 95669 = 9*f + 1995. Is f a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 84?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (359 - 189 - h - 187)*(-1 - 61*h**2 - 57*h**2 + 98*h**2) to the form u*h**2 + o + k*h**3 + b*h and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 334406 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, w: 1, o: 1, i: 6, p: 1}. Give prob of sequence hh.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 4*s. Let k be o(3). Let f be 0 - (2 + k\/1). Do -1\/7 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 - 9*i**2 - 7*i + 1. Suppose -75*b = 20*b + 146 + 234. Determine d(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/54584195 and 129\/850.\nAnswer: 545841950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -296937994 * -1.\nAnswer: 296937994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 4595.80704.\nAnswer: -4601.80704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335328139?\nAnswer: 103, 3255613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1666, -3469, -5272?\nAnswer: -7075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30346*o**2*w**4 - 147*o**2 + 17*w wrt w.\nAnswer: 364152*o**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -83501410*v**2. Let l(w) = 4*w**2. Give l(a(s)).\nAnswer: 27889941887952400*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + l - 15. Let w be (4\/6)\/((-2)\/(-15)). Does 15 divide x(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-9)\/(o*o\/o**(-1))**37 assuming o is positive.\nAnswer: o**(-111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**6\/2 + 48*s**5\/5 - 135*s**4\/2 + 200*s**3 - 375*s**2\/2 + 3. Determine z so that k(z) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z - 7. Let f be j(-2). Is 0.1 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -17*f - 4. Let w be o(-1). Suppose -114 = -w*z - 1258. Is z greater than -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8 = -4*k + u, 0 = 3*k + 4*u - 3. Suppose k*p - 11 = -2*z - 0, 5*z - 13 = 2*p. Suppose z = 2*w - 7. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13.26 and -0.1?\nAnswer: 13.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 49 = p, -3*p - p - 61 = -g. Suppose -25 = -3*b + x + 4, 3*b - g = -3*x. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385917.9 decades to millennia.\nAnswer: 3859.179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 1, 6, 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983568717.\nAnswer: 3, 107, 340453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/13, 2\/17, -3, 2\/11, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -9\/4*v**2 + 3\/2*v**3 - 3*v + 3 + 3\/4*v**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/19 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/22 + 3\/2. Let w = -8427 - -8448. Is w bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -359 + -50?\nAnswer: -3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1790*l**2 + 766*l**2 + 1017*l**2 + 0*l + 0*l + 0*l.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/45 and 25\/5328.\nAnswer: 26640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 122\/(-10) - (-2)\/10. Let h be 1080\/(-25)*(4 + 11). Let s = 634 + h. Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 12*k - 26. Let j be l(-3). What is the remainder when ((-1062)\/36)\/(2\/j) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 16 = -4*r. Suppose r - 12 = 2*i. Suppose -3*f = f, i*p = -3*f + 26. Which is smaller: p or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - o**4 - 254*o - 2 - 2*o**3 + 345*o to the form m*o**4 + w*o**2 + k*o**3 + y*o + c and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8504963 divided by 160471.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(-2 + 1 - 1 + (-2 + 1 - 3)*(-6 + 3 + 1))*(8*p**2 - 5*p**2 - 2*p**2 + 3*p) to the form o*p**2 + s*p + g and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.106 + -0.94626. Let v = 0.16 - k. Round v to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1689*z**2 + 2*z + 2. Let w be p(-3). Let g = -37205 - w. Round g to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/260)\/(2\/10). Sort 2, 1, m in decreasing order.\nAnswer: 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 19 - 227. Calculate the greatest common factor of 234 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/7, -1\/8, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 102?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 714*f**2 - 2103*f + 2820.\nAnswer: -3*(f - 1)*(f + 4)*(f + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*m = 3156 - 3223, 4*d - 20 = -2*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71\/6 + 12. Sort 0.3, 4\/5, r in descending order.\nAnswer: 4\/5, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 1024253\nAnswer: 22\/1024253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 3*w**2 - 2*w**2 - w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10 = 0, 0 = -3*w - 13*v + 18*v - 1. Suppose 835 + w = 2*n. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1947.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101000 (base 2) to base 14\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:45 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) -2\/9 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-12*s**2 + 27*s**2 - 14*s**2).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/8, -2\/3, -2, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -37 times -0.1\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-6))\/(9\/(-30)). Let r be -2*t\/6*-1. What is the nearest to r in 1\/6, 4, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-12)\/1)\/(44\/44))\/(-4))\/(9\/(-42))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1234, 0.1, -0.189, 2, 0.32.\nAnswer: -1234, -0.189, 0.1, 0.32, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*d*w**3 + 4*w**3 + 9*w**2 wrt d.\nAnswer: 131*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111110010110110110100 (base 2) to base 5.\nAnswer: -4113203042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 + k. Let r(z) = 2*z**3 + 42*z**2 + 12*z - 72. Give -r(t) + 12*u(t).\nAnswer: -2*t**3 - 6*t**2 + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y = 15*y - 40*y - 135 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.67 (b) 6 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2023)\/(-42) + (0 - -2)\/(-12). Suppose -4*g - 4*n + 9*n = -x, n = 2*g - 18. Let i = -6 + 7. Solve i = -2*h - g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -15 (b) -2\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 4, b: 1, q: 2, t: 3}. Give prob of picking 2 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -508 in decreasing order.\nAnswer: 1, -8, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**3 + 3*n**2 + 4*n - 3. Let k(v) = -5*v**3 - 4*v**2 - 4*v + 3. Let z(o) = -6*j(o) - 5*k(o). Let w be z(2). Put 0, w, 0.2 in increasing order.\nAnswer: 0, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -1, -9 in descending order.\nAnswer: 1, -1, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251936, -251951, -251966, -251981?\nAnswer: -251996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -553\/10 + 547\/10. Which is the third biggest value? (a) 5 (b) 1\/5 (c) t (d) 22\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240096527*i**3*v**3 + 3*i**2*v**3 - 220033*i*v**3 wrt i?\nAnswer: 1440579162*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-8))\/(6822\/(-1895))\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 5. Let p be q(-13). Suppose 0 = -8*n + 3*n + 5*w + 70, -2*w - 19 = -n. What is the greatest common divisor of p and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-12) - (-19)\/3. Let f be (g\/(-8))\/(3\/(-8)). Suppose -3*a + 4*v + 12 = -22, 2*v = -f*a + 18. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2019 + 3891. Suppose 0 = 7*k - 9510 - c. Is 79 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2483 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 8, -117, -464, -1135, -2232, -3857, -6112?\n\"Answer: -17*x**3 + 42*x**2 - 12*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, a: 10}. What is prob of picking 4 a?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*n - 568 = -4*m, n = -4*m + 1115. Let t = m + -275. Let s(p) = -2*p**2 + 2. What is s(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190866.\nAnswer: 2, 3, 13, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k. Suppose -3*u + 10 = 2*u - b, 0 = -3*b. Give d(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o + 8*o - o)*(-7 + 19 - 13 - 6*o**2).\nAnswer: -90*o**3 - 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 231 = -433 + 94. Solve 2*c - 4*s = 819 - 799, -4*s - p = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.925997cm in micrometers?\nAnswer: 29259.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2094*d. Let c(w) = 4*w. Give t(c(m)).\nAnswer: 8376*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21873327811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 + 3\/3. Let y be (m + 7)*2\/6. What is the second derivative of -y*l**5 + 2*l**5 + 0*l + 2*l wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*f - 7894198, 5*f - 7894180 = -k + 6*k. Let i = -6478838 + f. Round i to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 8*r + 12. Let o be g(-3). Let u be 1\/o + 4 - 3. What is the closest to -0.06 in u, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417773 is divided by 94.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**8*m\/m**2)\/(m**2)**(-3\/8) assuming m is positive.\nAnswer: m**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**28)**(3\/7))**(-18))**(-41) assuming f is positive.\nAnswer: f**(64206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11858 is divided by 123.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.409034 rounded to zero decimal places?\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -23024?\nAnswer: -23032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -4*t - 3*h - 28, 0 = 2*t - 4*h - 14. Suppose -807 = -5*p + 4*d, -t*d - 479 = -0*p - 3*p. Calculate the remainder when p is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*r - 1844063 = 283*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (64\/(-12))\/(2\/(-3)). Let i = -6 + z. Let u be -2 - (-1)\/((-1)\/(-5)). Solve -i*j + u = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*b + 9787 + 10975, b = 1. List the prime factors of h.\nAnswer: 2, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183 + -90. Let l = -96 + f. Sort l, 2, -4.\nAnswer: -4, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -202*t**3 - 56*t**2 - 29*t + 34. List the prime factors of l(-7).\nAnswer: 43, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/24662025 and -19\/548045.\nAnswer: 24662025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 55 (b) -8 (c) 4.22 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -47338718.1+5\nAnswer: -47338713.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 782.8334 centimeters?\nAnswer: 0.007828334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = -34. Let u be ((-4437)\/g)\/(3\/(-4)). Let p be (1\/(-3))\/(-5 + u\/(-36)). Solve 15 = q + 3*d, 2*q + 3*d - 16 - p = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -785*v**4 - 24*v**3 + 3*v**2 - 575224*v?\nAnswer: -9420*v**2 - 144*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v + 7*v**2 + 0 + 1 + 5*v. Let p be g(1). What is the third derivative of 2*q**2 + 2*q**6 - 3*q**p + 2*q**6 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -11\/7?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 98279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -22 in ascending order.\nAnswer: -22, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -14. Suppose 0 = d*f - 5*f. Suppose f*x = -4*x + 16. Which is the third smallest value? (a) -1 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 9450 = 5*d. Let x = -250 - d. What is x rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348622.\nAnswer: 2, 174311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 + w**2 + 3*w + 1. Let v(z) be the third derivative of -z**6\/30 + z**5\/60 + z**4\/8 + z**3\/6 + 12764*z**2. Determine 2*u(m) - 3*v(m).\nAnswer: 2*m**3 - m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvvjjvjvevjeve. What is prob of sequence vevv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293815.\nAnswer: 5, 58763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 3, 5, 19, 51, 107?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqjj when four letters picked without replacement from {q: 3, u: 4, e: 1, j: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4811*j. Let z(a) = 9*a. Give k(z(r)).\nAnswer: -43299*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - -2?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 1719765959?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 24727?\nAnswer: 519267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-132))\/(1700\/(-400))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -184? (a) 3\/140 (b) -0.1 (c) 0.1 (d) -1 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.11 (b) -41 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 24*r + 145 = 0, 0 = 466*p - 462*p + 4*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80102 is divided by 130.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 35*i - 3*h, -17*i + 5*h - 11 = -21*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d = 24*d + 264. List the prime factors of (45\/d)\/(42\/(-1456)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5807 + -11.4747. What is r rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Suppose -y*v + q - 15 + 7 = 0, 3*v + 5*q - 1 = 0. What is the remainder when 15 is divided by (1 + -5)*6\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l = -40. Let x = l + -5. Suppose d + 0 = y - 3, -x*y - d = -9. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 765 divided by 255.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, x: 2, z: 4}. What is prob of sequence xz?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 2\/4*-2. Suppose 7 = q*r - 1. What is the third derivative of 3*t**4 + 7*t**r + 3*t**2 - 7*t**4 wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.3. Let w be (176\/132)\/((-90)\/(-5)). Let k = -0.09 + 0.09. Which is the fourth smallest value? (a) w (b) -1 (c) k (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2423*n + 507. Is x(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 16. Let y = a - 14.2. Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 - 28)*(-3*o + o - 3 + 2).\nAnswer: 54*o + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 595378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 60. Let k be -3 + (-49)\/i + 1066\/4. What is k rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -110*f + 4. Let q(b) = -551*b + 19. Give 4*q(o) - 19*s(o).\nAnswer: -114*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {x: 5, i: 5, c: 1}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, -2\/31, -7\/52?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 10 + 43*x + 19 + (-x + x - x)*(1 - 4 + 4) + 4*x + 0 + 0.\nAnswer: 46*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19473439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddj when three letters picked without replacement from djddddddddj.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*h - 74, -50*h + 1185 = -3*o + 1193 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**4\/8 - q**2. Let f be 3\/(10\/4 + -1). Suppose 0 = -b + f*g - 5, -3*b - g + 2 = 3. Let y(d) = d. What is b*a(j) - 4*y(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/66)\/((-1)\/(-15)). Which is the second smallest value? (a) s (b) -4 (c) -4\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5\/2, 3, 10, -96?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**7\/210 - p**6\/3 + 10*p**5 - 500*p**4\/3 + 5000*p**3\/3 + 12*p**2 - 1. Factor v(l).\nAnswer: (l - 10)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1 - 7*r + 6*r**2 - 15*r**2 - r + r**3. Let a be u(10). Solve 4*w + a = m, 4*w - m = 2*m - 25 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 1.681\nAnswer: 23.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/26 - 16\/(-26)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -11011414144?\nAnswer: 11011414202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 479 + -462. Solve -3*w - y = c, -2*w = -4*w + 2*c - 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2322)\/516)\/(-12*(-5)\/150)?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/(h\/h**(-2)))\/h)\/h)\/(h**8\/h))\/(((h**3*h)\/h)\/h**(-1\/2)))\/((h*h**(-2\/5)*h**3)\/((h\/h**(1\/6))\/h**(-1))) assuming h is positive.\nAnswer: h**(-244\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v**2 + 92. Let x be i(0). Suppose 0 = -4*b - 5*q - 62, -2*b + q - x = 3*b. Suppose -304 = 21*w - 2*w. Is b greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2124, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.93 + -0.07. Let l = 9.174 - 9.574. Let o = 29\/5 + -309\/55. Sort l, 3\/7, x, o in increasing order.\nAnswer: x, l, o, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtt when three letters picked without replacement from htttttttj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*u + 2*u + 5*s, -4*s = -0*s + 8 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d + 22. Let k be d\/(-44) + 19200047\/4. Suppose 0 = 2*w + 3*z + k, -w + 5*w + 9600008 = -2*z. What is w rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265 and 74465.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -45*o**2. Let u(b) be the second derivative of -b**3\/3 - 5*b. Determine j(u(v)).\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 477*n + 27470.\nAnswer: (n + 67)*(n + 410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11684139 and 1599?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 1112*x + 66047. What is i(86)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -3. Suppose 5*s - o = 15. Suppose 1 + 7 = -4*p + s*w, 3*w = 4*p + 7. Put p, 4, 0 in descending order.\nAnswer: 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2296 and 17237976.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/2*(-1416)\/(-114). Solve -4*d + w + 6 = 0, -5*w - 132 + a = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -21, 2\/63, 3?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = -11. Let q be 1 + 2 + d\/(-1). Suppose u - 5*r = -q*u + 30, 0 = 5*u + 5*r. Solve g = 2*x - 0*g, 4*g = -u*x - 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -67009 = -4907*n - 246316 - 198532 for n.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/43)*t\/(t\/t**(-1\/6)) assuming t is positive.\nAnswer: t**(-31\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, 0.199, 3\/16, 0.13?\nAnswer: 0.199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*i - 16822, -49*z + 53*z = 5*i + 33644. List the prime factors of z.\nAnswer: 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 47742, 95481, 143220, 190959, 238698?\n\"Answer: 47739*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -17 (c) 2\/15 (d) 3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(182) + 3*sqrt(182) + sqrt(182)) - sqrt(182))\/sqrt(7))\/(sqrt(450)\/sqrt(9) - (sqrt(288)*-1 + sqrt(2)))*6*-1.\nAnswer: -87*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6716640619 and -1.18.\nAnswer: -6716640620.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -2403324014?\nAnswer: -2403324015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n - 12. Let s be n\/15 + 2\/5. Suppose s*g - g = -49. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*y + 134*y - 295*y + 665 = 0 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1395015783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z + 60 = 0. Suppose 8*v + 110 = 13*v. Calculate the smallest common multiple of z and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/332 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + p = 2*p + 38, -2*t + p = -27. Is 14 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 938, 1874, 2800, 3716, 4622, 5518?\n\"Answer: -5*m**2 + 951*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1469*z**2 + 1609*z + 9. Let n(i) = 367*i**2 + 402*i + 2. Let o(r) = -2*m(r) + 9*n(r). What is the second derivative of o(p) wrt p?\nAnswer: 730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 12:03 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141097360?\nAnswer: 2, 5, 1763717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174 - -171. What is the smallest value in g, -1\/9, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1314, 7149, 16866, 30459, 47922, 69249, 94434, 123471?\nAnswer: 156354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 3*m**2 - 12*m + 23. Let f be a(5). Solve -5*x + 15 = r, -5*r + f = -x - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 243184*n**2 - 51062*n - 3 wrt n.\nAnswer: 486368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**2 + 2*r - 1. Let x(l) = -27*l**2 + 333*l - 333. Let w(c) = 3*u(c) + x(c). Factor w(d).\nAnswer: -3*(d - 112)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 11:56 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-115128 + 5 + -2)*1\/((-8)\/(-352)). What is k rounded to the nearest 100000?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 34*o - 292. Determine g(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 264433260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3 - 4)*(-1407)\/(-46431).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 496 - 492. Suppose 86*n - 85*n - 770 = 4*h, 0 = -u*n + 4*h + 3044. Calculate the remainder when n is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 44 = 16. Suppose -4558 - 294 = -h*n. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380925 divided by -15175?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 49*y**2 - 22951*y - 153895. Determine j(475).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 22*t**2 - 8*t - 4. Let f(n) = n**3 + 7*n**2 + 6*n - 7. Let j be f(-6). Let r be o(j). Round r to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7884?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(15)\/sqrt(245) - sqrt(3)) + 3*sqrt(300))**2.\nAnswer: -124848\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8592, -31904, -70756, -125148?\n\"Answer: -7770*j**2 - 2*j - 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*b - 108*b - 119*b + 344*b + 93*b**3.\nAnswer: 93*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(80)\/sqrt(2))\/sqrt(8) - -3*sqrt(45).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12*m + 14. Let c be j(1). Let a(l) be the first derivative of -3*l**c - l + 1\/3*l**3 - 9. Give a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 + -69. Let g = f + -81. Calculate the common denominator of -23\/3 and (82\/12 + g)\/(11\/(-2)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8695479*o**4 - 2327051 wrt o.\nAnswer: -34781916*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(560\/360)*2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/120 + t**4\/24 - 5*t**3\/6 - 4*t**2 - 3*t. Calculate z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + y**2 + y + 1. Let a be t(0). Let w(h) = 20*h**2. Let j be w(a). Solve u - 5*u + j = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59 and 34.4622.\nAnswer: 2033.2698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-12) + 5)\/((-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-483)*(-1526)\/(-872)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 21945\nAnswer: 1\/7315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(115*a**5 + 340*a**3 - 340*a**3 + (-3*a**2 + 4*a**2 - 3*a**2)*(4*a**3 + 2*a**3 - 5*a**3)).\nAnswer: 113*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8462 and 2.\nAnswer: -3.6924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 10886712*f. Let v(g) = -2*g**2. Give u(v(j)).\nAnswer: -21773424*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.4. Let x = -21.3299 - -23.3299. Let n be 10\/(-6) + 8\/12. What is the closest to n in x, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 195541\/115 - 8501\/5. Are 1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4186.1982491 minus 0.2?\nAnswer: -4186.3982491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.05481 - -0.3\nAnswer: 0.35481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 19594159.\nAnswer: 822954678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1016605615 to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -10, 5, 311, -4, 0, 3 in decreasing order.\nAnswer: 311, 5, 3, 0, -4, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnvcchhcnfcfhf. Give prob of sequence nhf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*o + 4 = 73*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*v + 5*v - h, -2*h = 8. Let n(r) = 11*r**2 + 3*r + 12*r**2 + 3*r**v - 24*r**2. What is n(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 10 - ((2 - 5) + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**4\/48 + d**3\/12 - 6*d. Factor v(q).\nAnswer: -q*(q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/2, 0.5, 116269?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284 and 1704?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10*(-7 - -17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2246 + 3041 = -2*j, -3*d + 3157 = -5*j. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365471\/147312 - -3\/5456. What is the common denominator of z and 22\/1119?\nAnswer: 10071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93094960 by -46547480.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17690742?\nAnswer: 2, 3, 982819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 1\/960*g**6 + 0 + 0*g + 1\/24*g**3 - 1\/64*g**4 + 0*g**5 - 52*g**2. Suppose j(n) = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, -2\/1521, -3\/5 in descending order.\nAnswer: -2\/1521, -0.3, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let g(c) be the third derivative of -c**5\/12 + c**3\/3 + 4*c**2. Let s(w) be the first derivative of g(w). Calculate a(s(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h**3*u - 6*h**2*u + 36*h*u + 3*u wrt h.\nAnswer: 48*h*u - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + -2 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 8. Let y be u(5). Suppose 0*v + y*j = 3*v - 45006, j - 29998 = -2*v. Round v to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.2, 2\/459, -955?\nAnswer: 2\/459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -6, 13.\nAnswer: -6, 13, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 14*c**5 - 9*c**2 - 4*c. Let n(r) = -27*r**5 + 18*r**2 + 7*r. Let p(t) = -4*n(t) - 7*y(t). What is the third derivative of p(m) wrt m?\nAnswer: 600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 1\/120*f**6 + 1\/4*f**4 + 7\/60*f**5 + 2\/3*f**3 + 0*f + 0 - f**2. Is q(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 593 - -447. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 126288*t + 126292.\nAnswer: -4*(t - 1)*(t + 31573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/27)*u*u**(-2\/7)*u*(u\/((u\/(u\/(u\/(u**(-2\/5)\/u))))\/u))**(-17) assuming u is positive.\nAnswer: u**(8116\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -23 (c) 2 (d) -17 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 10328?\nAnswer: 5\/5164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6) + (241 - 246) + 1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*v**4\/15 - 598490*v**3 - 1438732139182*v**2\/15 + 45449758836578*v\/5 + 2604958897188 = 0. What is v?\nAnswer: -320667, -2\/7, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/7777 (b) 2\/7 (c) 80 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/220 and -87\/340.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5668304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*-6*(-3*(sqrt(56)\/sqrt(4) - sqrt(14)))\/sqrt(1575))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-1 - (-6 - -7)) + (-3 - -7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*q + 35*q + 17*q**3)*(6552 - 3263 - 3262)*(-1 + q - q - 2*q) - q**4 - 4*q**2 + 4*q**2 as i*q + r + a*q**3 + v*q**4 + d*q**2 and give v.\nAnswer: -919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Suppose d - 24 = -m, b*d = m + 4*d - 36. Suppose 10*t - m = 6*t. Calculate the remainder when 13 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3821, 3\/7, -96, -0.2, 0.031 in decreasing order.\nAnswer: 3\/7, 0.031, -0.2, -96, -3821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -101 + 159 - 60 - 6*x + 10*x**2 in the form r*x**2 + p*x + c and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, -417, -396, -375, -354?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3732012 and 1658672.\nAnswer: 14928048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**6\/300 + a**5\/150 - a**4\/30 - 2*a**2 - 1. Let i(y) be the second derivative of n(y). Factor i(u).\nAnswer: 2*u*(u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 equal to -1293\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -8, 2.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -102. Suppose -110 = -5*w - 4*y, -4*w - 5*y = -5*w + 22. Suppose -3*b + w = 4*d, 3*b + 8 = -b. What is the remainder when z is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = 5*z. Let n be 1 - 0*(-4 - -3) - z. Solve -3*i = -3*s - 6, -3*i - 5*s + 2 = n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 105 = -1206. Suppose 0 = 4*b + 5*g - 854, -3*g = -3*b - 5*g + 644. Let s = b + w. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3)\/(-1) + 152\/19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/28 - 162\/(-21). Let p(d) = -d + 10. Let v be p(m). Suppose 6 = -v*o + 54. What is the remainder when 46 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 5*z - 4*r - 539, -2*z + 340 = 4*r. Suppose 64 = -4*y + z. Let j be 2\/(-9) - 2*(-58053)\/y. What is j rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (11 - 3) - (-5 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 718 + 27 = -m, -s - 3*m = -689. Suppose -3*p + 503 = x, -4*p + 23*x + s = 19*x. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -20. Suppose -u*v = -5*f + 22, 0 = -5*f - 0*f + 4*v + 26. Determine m, given that m**2 - 2*m + 8*m - 2*m + m**f = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 50880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 78*x + 416. What is the thousands digit of q(29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let s(m) = 7*m**2 + 8*m. What is -s(w) + 6*t(w)?\nAnswer: -7*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/39 - 212\/(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 14) to base 3.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 17*b**2 + 4*b - 4. Let j be g(1). Let u = 429 + j. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/5 + (-87)\/(-15). Differentiate 487*q - 503*q - a - 2 wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2 less than 1310523.4447?\nAnswer: 1310515.2447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 8*n + 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/2 of a millimeter in micrometers?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 21. Suppose 3*v + 0*v = -w. What is the remainder when 16 is divided by (v - -2)*(-8 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -125 + (45 - (-34 + 61))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + t = -5, -29*q - t - 332 + 75 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = -77*w + 784. Let d(j) be the second derivative of w*j - 1\/36*j**4 + 1\/40*j**5 + 0 - 1\/36*j**3 + 0*j**2. What is i in d(i) = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378\/84*2\/6*-4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 2*h - 4. Let g(s) = 2*s**2 - 3*s - 4. Let i(j) = 6*g(j) - 5*z(j). Let n be i(5). Let r(w) = w**3 - 7*w**2 + 6*w - 2. Calculate r(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 3*i - 19, 3*i + 11 = 6*i - 4*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*g - 260 = -222*g. Calculate the highest common factor of 8 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 770, 767, 762, 755, 746, 735, 722?\n\"Answer: -p**2 + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3638 and -13\/102.\nAnswer: 10914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2821 + 2823. Suppose 4*f = 3*f + 2. Let i(b) = b - 7*b**w + 2*b + 8*b**f + 5. Give i(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3756*l**3 + 8606*l**3 + 12046*l**3.\nAnswer: 16896*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 2 - 2)*(-n**3 + n**3 + n**3) + (-2*n**4 + 7*n**3 - 7*n**3)*(6*n - 2*n + 0*n).\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245.38 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -1.23256273?\nAnswer: -1.23256273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 11*q + 9*q = -24, 0 = -2*u - 6*q + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 - 4*t**5 - 2*t**5 + t**5 - t**5 - t**5 + (4*t**2 - t**2 - t**2)*(-4*t**3 + t**2 - t**2).\nAnswer: -11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b = 32. Let u = b - 12. Is u\/12 + 166\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -1, -4, 0.791, 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1163, 1177, 1205, 1253, 1327?\n\"Answer: r**3 + r**2 + 4*r + 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)*k)\/k**(1\/10))\/(k**5*k**(5\/2))*(k**1*k)**(-2\/39)*(k\/(k*k*k**(-2\/3)*k))**(10\/13) assuming k is positive.\nAnswer: k**(-1897\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1602 * 0.3\nAnswer: -480.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**3 + 17*i + 25*i + 27*i - 70*i - 53*i**3.\nAnswer: -86*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 33415509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2017.42? (a) 2 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((11 - 22) + 27)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169231.\nAnswer: 229, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/2)\/(d**7*d)*(d**8\/d)\/(d\/(d**(2\/7)\/d)))\/((d**(-1\/3))**(3\/7)*(d**4*d)\/(d\/(d**6*d))) assuming d is positive.\nAnswer: d**(-211\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -120*w**2 + 19829 + 91*w**2 - 19832 + (1 - 2 + 2)*(-w**2 + 2*w**2 + w**2).\nAnswer: -27*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - t - 40. Let o = 31 - t. Let d = -7 + o. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222434464.\nAnswer: 2, 7, 993011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-10))\/(2\/60). Let f(w) = -w**3 + 12*w**2 - w + 12. Let x be f(v). Suppose 4*b - 16 = -x. Solve 0 = -o - 3*d + 16, -b*o + d - 3*d = -24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.252073 and -83046.45.\nAnswer: -83046.197927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - -1)*(11 - 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-3 + -2 + 10)) + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. What is the derivative of n**4 + 0*n + w*n - 3 wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*z + 20 = 0, -3*h + 5*z = -0*z - 12. Let s be (-8)\/20 + 26\/(-10). Calculate the least common multiple of (s - -6)*(-8)\/(-6) and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 0*u - 4*u**2 + 2*u + u**2 + 0*u**2. Let c(f) = -f**3 + 3*f**2 - 2*f. Let v(p) = 5*c(p) + 4*x(p). What is v(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11525+-924679119\nAnswer: -924667594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -241, 0, 15 in ascending order.\nAnswer: -241, -3, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -129, -123, -113, -99, -81, -59, -33?\n\"Answer: 2*i**2 - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239999265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 - (-11 - -3)) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*o + 30, -18 = 3*p - p + 4*o. Let x = p + -4. Sort x, 0.3, -0.4 in descending order.\nAnswer: 0.3, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1103010.4 - -4.8.\nAnswer: -1103005.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/3))**(-1\/13))**(-2\/9)*(u*u**(-1)\/u)**(-27\/7)\/(u**(-2\/17)\/u**(2\/13)) assuming u is positive.\nAnswer: u**(172687\/41769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 443 * -16.\nAnswer: -7088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - z = -4*a + 19, 7 = a + 3*z. Suppose -3*m - 4 = m, 2*m - 78 = -a*u. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*y + 181*y + 124*y - 430*y + 97*y.\nAnswer: 170*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23850*b**2*v*x**3 + 10368*b**2*x**2 - b*v*x**3 + 11*x**3 wrt v?\nAnswer: -23850*b**2*x**3 - b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -0.4, -1043, -28.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112122 + -1?\nAnswer: 112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -102\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 214?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.134 - 0.08. Let s = -0.05399727 + v. Round s to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33954 and 3642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -7.7. Let u be (-1)\/(6\/(-10) + 0). Let k = 0.15 + -0.35. Which is the third biggest value? (a) u (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Suppose 5 - 17 = -u*l. What is the second derivative of -4*c**l - 2*c**4 - 2*c + 2*c**4 wrt c?\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 262 in decreasing order.\nAnswer: 262, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-6 - -3) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(312)*-2)\/sqrt(12) - -5*sqrt(104))\/((sqrt(72) + sqrt(72) + sqrt(72) + (sqrt(72) - 1*sqrt(72) - sqrt(72)))\/sqrt(9)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u + 308180*u**3 - 1462174*u**3 + 28*u.\nAnswer: -1153994*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7351120 and 4208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*i - 6, -i + 4*h = -0*i + 9. Suppose -c + 0*r + r - 253 = 0, c + 261 = -i*r. What is the units digit of c\/(-9) + (-2)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 336*h = -339*h + 8, 3*h = 5*j - 8. Solve 27 = u + 4*w, -2*u = -j*w - 14 + 32 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4066 + -3732. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 715 and 26587795?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 28*y**3 + 141*y + 15*y**4 + 374*y**2 - 36*y**4 + 19*y**4 + 552 + 755*y = 0.\nAnswer: -6, -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u - 74. Let x be p(0). Let w = x + 76. Let t(r) = r**2 - 2. Let s be t(3). Solve -w*q + 0*q - s = -l, -l = -4*q - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 3:57 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 5:35 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 2*g**3\/51 + 3*g**2\/17 - 56*g\/17 - 730. What is r in y(r) = 0?\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133076 is divided by 253.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**8\/112 + 3*j**6\/40 - 223*j**5\/60 + 5*j**2 + 2. Find the third derivative of a(n) wrt n.\nAnswer: 180*n**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 21, 22, 13, -12, -59?\n\"Answer: -u**3 + 4*u**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2, -2\/1767, 3, 6\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 518301647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1)\/(-20) - (-68)\/140\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 9*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-32.6.\nAnswer: 9.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - 3 + 3 + (d + d - d)*(3 + 0 - 2) + d + 4*d - 3*d - 2 + (-2*d + 5*d + 4*d)*(6 - 1 - 3).\nAnswer: 18*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 + 124. Let l = 27 - w. Is (40\/(-14))\/(8\/l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*o - 38 = 0, q + o + 16 = 3*o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)\/b*b*b**(-3))\/(b**(-1)\/b)**(-38) assuming b is positive.\nAnswer: b**(-551\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 2. Let q be p(4). Suppose 5*f - 801 = q*n, -131 = 2*f - n - 451. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 47 in -4, 1, 0.3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/5 - 773204*v + 747305532020 = 0. Calculate v.\nAnswer: 1933010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9 = 3*n + j, 0 = -n - 3*j + 1. Calculate the remainder when 3208 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4 + 1. Let m = -1 - y. Suppose 3*u = m*u. Solve -5*s - 4 - 6 = u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21145601*u + 18619721 wrt u?\nAnswer: -21145601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 32, 4, 3 in decreasing order.\nAnswer: 42, 32, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 0*s + 26*s**2 - 12*s**2 - 3 - 13*s**2. Suppose 4*k + 28 = -5*i - 5, 3*k + 11 = -i. Calculate m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - -30440?\nAnswer: 30455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3339*g. Let a(x) = -371*x. What is -53*a(f) + 6*r(f)?\nAnswer: -371*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4235 + -4234.3. Let z = -0.25 + 0.11. Which is greater: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + v**3 - v**3 + 6*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ooobobboobooob?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g**5 - 43*g**5 - 12*g**5)*(-5 - 2 - 2).\nAnswer: 603*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -20. What is the second derivative of 20*s**2 - 20*s**2 - l*s + 3*s**3 wrt s?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/5, 2, 19.997, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, and 2 g when four letters picked without replacement from haaagcjhggggcoh?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 394 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-106)\/(-5)*(-10)\/(-4). Suppose 45 - i = -2*u. Solve 2*r + 20 = 3*y, u*r - 4*y = 6*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - (-193998)\/(-679140). Let u = k - 3508\/735. Calculate the common denominator of 39\/8 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**2*s**3 + 15*b**2*s**2 + 5*s**3 wrt s.\nAnswer: 36*b**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 2*v**2)*(-2*v + v + 0*v) + 2012*v**3 - 149422 + 298835 - 149419.\nAnswer: 2010*v**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*i - 20*i - 4. Suppose i*x - 4 = 5*m, x - 2*x + 2 = -m. Calculate the remainder when 8 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -5\/8066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 18*c**2 + 27*c - 24. What is the units digit of j(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1000000010000?\nAnswer: 1000000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.9 - -9. Let r = -2.45 - -1.45. Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554368?\nAnswer: 2, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.98, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 3. Let b be c(3). Let t(j) = -2*j**2 - j - 12. Let x be t(0). Calculate the remainder when 86 is divided by (-20)\/b*(-6 + x).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 93\/7, -49, 0, -0.3 in ascending order.\nAnswer: -49, -0.3, 0, 93\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2792 = 23*z - 2700 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 591, 1407, 2411, 3603, 4983, 6551, 8307?\n\"Answer: 94*u**2 + 534*u - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + -63. Determine c so that -1\/3*c**2 - 1\/3*c + 5\/3*c**4 + c**s + 2\/3*c**5 + 0 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/((-14)\/82*((-207)\/(-9))\/161).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 4)*(-2*v**3 + v**2 + 4*v + 2*v**3 + 3*v**4) to the form r*v + q + a*v**2 + t*v**3 + s*v**4 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 17*p + 42. Let i be b(-19). Let q be 426\/4260*((-102)\/(-2) - 1). Solve i*h - 12 = v - q, -2*h = 4*v + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.389 in 2, -13, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o*u**6 - 11594*o + 8633*u**6 - 5*u**2 wrt u.\nAnswer: 360*o*u**3 + 1035960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 973 divide 274245174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 18, -14, -84, -204, -386, -642?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f - 2. Determine a(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.72298 months in millennia?\nAnswer: 0.008226915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*k - 471, 71*b = 68*b + 6. Which is bigger: k or 14?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 15. Let t be d*1*2\/(-30). Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 4:35 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2730*q + 3362*q + 475176 for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12125, -12133, -12141, -12149, -12157?\n\"Answer: -8*w - 12117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 65476*d**2. Let n(a) = -a. What is m(n(x))?\nAnswer: 65476*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32996058437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 64065760 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -28*o + 82. Let z(k) = 13*k - 41. Give -3*s(b) - 7*z(b).\nAnswer: -7*b + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 33, 81, 167, 303, 501?\n\"Answer: 2*j**3 + j**2 + 5*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*y**2 + 168193934 + 139*y**2 - 168193934.\nAnswer: 681*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1743 * 130114\nAnswer: 226788702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5 + 159*k**4\/5 + 399*k**3\/5 + 129*k**2\/5 - 126*k\/5 = 0. What is k?\nAnswer: -7, -3, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -8, -4, -5.\nAnswer: -8, -5, -4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 2. Let p(m) be the second derivative of 3*m**3\/2 - 34*m**2 - 65*m. Calculate the remainder when p(18) is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*s - 1838 = 1837 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238070761?\nAnswer: 433, 549817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7) - (-10)\/35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35\/12 (b) 0 (c) -4 (d) 0.3 (e) -1 (f) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/36 and 77\/456?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2284 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408670*x**5 + 2*x**4 - 113*x + 591 wrt x.\nAnswer: -8173400*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073517559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 138 (c) -104 (d) 2\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/(-12) - 51\/(-1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:00 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*m**2 - 33*m**2 + 11*m - 6*m + 32*m**2 + (-3 - 1 + 0)*(3*m**2 - 4*m**2 - m**2).\nAnswer: -36*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let u be g\/(4\/(-6)) + 1. Let v(j) = -u - 3 - j + 4. What is v(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 172\/5 - 33. Let p be (-2)\/5 - 1\/10. Which is the third smallest value? (a) -3 (b) p (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -295793, -27, -2 in descending order.\nAnswer: -2, -27, -295793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -508560*l + 508558*l - 13, 7*f = l + 45 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -428 in -143, 2, 2\/7, -7?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*6\/1 - 56\/(-7). Suppose -5*u + 4*m + 1309 = 0, 0*u = 3*u - 4*m - 787. Suppose -5*l = -0*j - 4*j - 642, k*l = 3*j + u. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5114\/7 - -727. Let a = n - -275\/28. Solve a*w**2 + 15*w + 5 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cstffqtfffftqsqttff. Give prob of picking 2 q.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*b - 14057 + 13400 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85165384495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z\/z**(5\/2))\/z*z\/((z\/(z\/((z*z*((z**(-12)*z)\/z)\/z*z*z)\/z)*z))\/z)*z assuming z is positive.\nAnswer: z**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 3)*-2*(-9)\/6. Suppose 0 = 5*n + 5*s - 1055, -5*n + s = 2*s - 1043. Suppose 0 = -r*p - p + n. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = -4*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110.1 - 110. Sort 0, -5, w, 3 in increasing order.\nAnswer: -5, 0, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 345.1054.\nAnswer: -2760.8432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -5 (c) -4\/13 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455, -902, -1351, -1802, -2255?\nAnswer: -2710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, q: 5, c: 2, y: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 21*u**5\/4 + 99*u**4\/4 - 93*u**3\/4 - 255*u**2\/4 + 72*u - 15 = 0.\nAnswer: -5, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -2632?\nAnswer: 13160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 less than -195?\nAnswer: -195.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 47\/4 of a millennium?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 912.1715ml in litres?\nAnswer: 0.9121715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584355?\nAnswer: 3, 5, 163, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 42*t + 7*t = -110 + 14, -3*m + 6 = -t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 2. Let p(c) = -2*c + 4. Let q(j) = 2*p(j) - 5*r(j). Find the first derivative of q(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070999 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/23)*t*t**10*t*t)\/(t**(-23\/2)*t)**(-41\/5) assuming t is positive.\nAnswer: t**(-16793\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -388 divided by -26?\nAnswer: 194\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12*p**3 + 1. Let w(g) = 11*g**3 - 2. What is -4*a(m) - 3*w(m)?\nAnswer: 15*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 8 = -8*w. Suppose -135 = w*j - j. Round j to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228*g**3*i**2 - 2*g**3*i - 105*g**3 + g*i**3 - i**3 wrt i?\nAnswer: 456*g**3 + 6*g*i - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -379162 by -25.\nAnswer: 379162\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4*v**2 + 4 - 11.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-5)*142*(-60)\/24 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -243 + 17961?\nAnswer: 17718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 1. Let a = -12 + 20. Suppose -4*z = -z - 12. Let f be a\/6 + z\/6. What is j(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -2.8\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-78 - -35) + 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((11\/132)\/((230\/1240)\/(-23))).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 - 3. Let z(q) = -981*q. Determine p(z(g)).\nAnswer: 3849444*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = c, 4 = 5*t + 5*c - 21 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/(-6)*9\/3. Let o = -18 - x. Solve 0 = -5*w + o*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1476 * -31092.\nAnswer: -4589.1792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w - 755 = -595 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32268 is divided by 5310?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**2 + 86. What is the lowest common multiple of 2 and f(0)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 879742*17\nAnswer: 14955614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 6*w - 5. Let d(c) = -c**3 + 3*c**2 + 5*c + 1. Let i be d(4). Suppose -i*a = -3*q - 13, 3*a - 11 = -q + 2*q. What is the units digit of y(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1599, -12897, -43587, -103365, -201927, -348969, -554187?\n\"Answer: -1616*w**3 + 14*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1260)\/5680 + (1\/4)\/1. Let k = -128\/497 - i. Let d = -3.07 - -0.07. Sort d, 4, k in descending order.\nAnswer: 4, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 1, n: 1, f: 1, w: 2, r: 1}. What is prob of picking 1 f and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*w + 268*f**3 + f**2*w - 767*f*w wrt f.\nAnswer: 6*w + 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1158 and 642924.\nAnswer: 124084332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 2)*(0 + 4 - 2) + 1 + 4 - 3 + (15 + 14 - 13)*(4 - 6 + 1))*(2 - 3 + 7)*(-6*l + l + 2*l).\nAnswer: 324*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 19ab?\nAnswer: -19b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -125 + 1123\/9. Let m = -463\/6 - -77. Sort -20, s, m in decreasing order.\nAnswer: m, s, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -38*(13\/(-2) - (34 + -37)). Calculate the highest common factor of t and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9393, 21002, 34825, 50862, 69113, 89578?\nAnswer: 112257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ggwwggw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 78934585 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 131723958 - -5\nAnswer: 131723963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 160*x + 966. What is i(-8)?\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 125542372 to the power of 1\/2, to the nearest integer?\nAnswer: 11205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6332253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.33 + 41.67. Which is the nearest to 0.1? (a) h (b) 1\/2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + q. Let z(l) = 82 + 26*l**3 + 53 + l**2 + 3*l - 135 - 4*l**2. What is -3*c(d) + z(d)?\nAnswer: 26*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3\/5 (b) 3\/7 (c) 212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262 + i - i - 111 + i - 85 - 86.\nAnswer: i - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 730\/60 - (2 + 33\/(-18)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and -0.05?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**4 + 10*j**4 + 6*j**4)*(-5 - 2*j + 5) + (2*j**4 - 3*j**2 + 3*j**2)*(-3*j + 2*j - j) - 4*j**4 + 4*j**4 + j**5.\nAnswer: -23*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1014 - 343 + f**2 - 330 - 341. Let q(h) = -41*h**2 + 5. Let s(p) = -2009*p**2 + 246. Let i(o) = -246*q(o) + 5*s(o). Give d(i(u)).\nAnswer: 1681*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 3:43 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33261846 and 848?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5721*2*60\/40. Let f be -2 - (-3 + g\/3). Round f to the nearest 100.\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from umeoouumeeomomouoooo.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + 12. Suppose 27 = 3*m - 0*c - 5*c, -2*m - 5*c = d. Solve -4*f + m + 0 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(243) + 3)**2.\nAnswer: 126*sqrt(3) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caaaaaaca. What is prob of picking 2 a?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 - -5.95. Let o = c - 4. Let i = o - 2.2. Sort i, -1\/2, -3 in descending order.\nAnswer: i, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1300839 plus 0.12?\nAnswer: 0.2500839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -371 + 2263265313\nAnswer: 2263264942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-6) + (56\/30 - (-48)\/(-40)). Let a(d) = -9*d**3 + 3*d**2 + 14*d - 3. Let i(y) = 5*y**3 - 2*y**2 - 7*y + 2. What is w*a(u) + 5*i(u)?\nAnswer: -2*u**3 - u**2 + 7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*sqrt(3) + sqrt(3) - sqrt(18)\/(sqrt(24)\/sqrt(4)).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**3 + 1025*t**2 - 128*t + 62. Calculate l(128).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 6, x: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5060.99993737 + -5061. Round x to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 11*j**2 + j - 10. Let u be k(11). Let s be (u - 0)\/((-5)\/(-15)). Solve s*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**2 - 5*v - 2*v**2 + 0*v. Let l be (-2 - 9\/3)*-1. Let r(j) = -j**2 + j. What is l*r(g) + b(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3409*l = 24246*l + 165930 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 3*k - 2. Let u(t) = 2*t + 4. Let d be u(10). Let r be (5\/10)\/(2\/d). What is the remainder when 47 is divided by v(r)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81 - -130725901697.\nAnswer: 130725901616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3123 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1170 = -571*g + 295*g + 289*g. Solve 84 = 78*r - g*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5274122459 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 77 - 63 - (2 - ((13 - -75) + 6))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 525688*p**2. Let x(s) = -30*s**2. Give x(a(h)).\nAnswer: -8290436200320*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 511225 = -16*o - 49*o. Which is smaller: o or -7863?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/165 and 49\/345.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -745 (base 10) in base 12?\nAnswer: -521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -308 + 442. Let h = 55 - y. Let b = 61 + h. What is the third biggest value in 3, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/470217 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**21\/j**(-8)*(j*((j*j**(-6\/11))\/j)\/j)\/j**(6\/19))**9 assuming j is positive.\nAnswer: j**(52929\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 421679941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1980) - (sqrt(1375) + sqrt(1375) + sqrt(1375)*2 + sqrt(55)))\/(-6*sqrt(275)*-1).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + fcf0a6?\nAnswer: fcf0a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b8 + 4?\nAnswer: -3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83.6 - -10.6. Let g = -72.834 - j. What is g rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**6\/15 + u**2 - 7*u. Differentiate s(k) wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131349 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28 - 27)\/(2\/(-2)). Put s, 22, 18 in increasing order.\nAnswer: s, 18, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9005295 and 455.\nAnswer: 63037065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98 - -200 - 107 - (6 - (1 + 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -240 - 210?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -0.2, 112\/11, 51, 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-25)\/15))\/((-60)\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(3\/4))\/(i\/(i\/i**(-4)))*i**(-1\/5)\/i*i*i**(-4) assuming i is positive.\nAnswer: i**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1508140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 1?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 120*i**3 + 358*i**2 + 116*i + 366. Determine w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3472 and 280?\nAnswer: 17360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/1188*22)\/((-56)\/66))\/((-7)\/(-42))\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = -12*l + 7*l. Let u = 48 + l. What is the third derivative of 13*m**u - 14*m**3 + 10*m**3 - 19*m**3 wrt m?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0 = -15. Suppose d*x - 9 = 6. Sort 1, 2, x in decreasing order.\nAnswer: x, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1391281265 + -1391281316.92423096. Let a = r - 0.07575624. Let u = -52 - a. What is u rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 + 12*q + 135 = 0 for q.\nAnswer: -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/29)*a*(a*a**7)\/a)\/(a**(1\/4))**(-1))**(-8\/15) assuming a is positive.\nAnswer: a**(-1898\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - (4\/2 + (-25)\/5). Let s(y) = y + 3. Determine s(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(1 - 5 + 1)*(d + 0*d + 11*d) - 2 + 2*d + 0*d + 4 as n + t*d and give t.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.08, 0.052 in descending order.\nAnswer: 0.052, -0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 123675079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0\/(-34) + 1 + 46\/20 and -61\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 - 5*c**2 + 15*c + 7. Let b be f(-5). Calculate the highest common factor of b and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41841 - -2632361. Let j = p - 2674205.500078. Let z = j + 3.5. Round z to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90265 is divided by 3217.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -31040279.51 to the nearest one hundred thousand.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(98) - ((0 + sqrt(98))**2 + -1))*1)*-6.\nAnswer: -42*sqrt(2) + 582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-3)\/(-46))\/((-1431)\/477)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.117 (b) -0.4 (c) 0.023 (d) -1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(77)\/sqrt(176) + sqrt(7))*-4 - sqrt(28)\/(1*sqrt(8)\/sqrt(2))))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2) + 0 - -1. Suppose -7 = -12*b + 5. Suppose -21 + b = -10*n. Sort n, -20, j.\nAnswer: -20, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345710697.\nAnswer: 3, 367, 313997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-312)\/(-5))\/13)\/(2788\/(-24395))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*q - w + 4 = 762*q - 382*q, -45*w = -3*q - 36 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddcssscldzjddsd. Give prob of picking 2 z, 1 j, and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u. Let p(a) = 6661*a**2. Give w(p(f)).\nAnswer: 13322*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zydzpzkpznnkdyyk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13916 is divided by 443?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**5 - 37*h**2*n**3 + 2*h**2*n**2*x + 68*h*n**3*x - 2*h*n**2 - h*n - 2*n**3*x wrt h?\nAnswer: 20*h**3 - 74*n**3 + 4*n**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104879, 419611, 944165, 1678541, 2622739, 3776759?\nAnswer: 5140601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -38, -26, -10, 10, 34, 62?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107916.78 nanoseconds in minutes?\nAnswer: 0.000001798613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-23)\/((-1127)\/168)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 74. What is the lowest common multiple of 28 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + v**3 + 2*v**3 - 6*v**3 + 2*v**3.\nAnswer: -v**3 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -185 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.169 * -0.0337168.\nAnswer: 0.0056981392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6013.32497 + -25721?\nAnswer: -19707.67503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5744296293 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:18 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4161 divided by 5.\nAnswer: -4161\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -102201?\nAnswer: 102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(sqrt(5) - (sqrt(30) + sqrt(300)\/sqrt(10) - sqrt(30))\/sqrt(6))**2*5 + (5*sqrt(35)\/(sqrt(35)\/sqrt(5))*-6)**2.\nAnswer: 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30097880?\nAnswer: 2, 5, 752447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -142, 3, -2 in decreasing order.\nAnswer: 3, -0.7, -2, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*h**2 - 78*h**2 - 45*h**2 - 54*h**2 as o + q*h + p*h**2 and give p.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 + 229802*l**3 - 13202009997*l**2 - 26404709404*l - 13202469604.\nAnswer: -(l - 114902)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20209*q**4 - 65981*q?\nAnswer: -242508*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*1\/(-3) - 304\/(-228). Suppose 0*n = -y*n, -3*n - 52 = -4*q. What is the highest common factor of 26 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 5*v + 82 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-1260) + (-22)\/(-21)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(20)\/sqrt(4) + 5 + sqrt(40)\/sqrt(72) + -4))**2 - (2 + -5*sqrt(720)*1 + -5).\nAnswer: 92 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 220384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -339 + 495. Let g = 155 - i. What is the third smallest value in -5, g, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171001302 a multiple of 1555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*j**5 - 35*j**5 - 117*j**4 - 2*j**2 + 118*j**4 + 3 + (j**2 + 2 - 2)*(3*j**3 - 3*j**3 - j**3).\nAnswer: 2*j**5 + j**4 - 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciiicscsccic. What is prob of sequence ic?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 622202807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 170\/(-20) + (-34)\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from mmmmjnnmnmnnnmrm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -162 + 339. Suppose 3*v - v + 4*q = -128, -3*q - p = 3*v. Which is smaller: v or -53?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 7*t - 1. Is 2 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 - -85. Which is the closest to 1? (a) z (b) -4 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -36. Solve 0 = -0*x + 5*x - i*j + 34, 0 = -5*x + 2*j - 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 412 = -220. Which is greater: p or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h**2 - 3*h**2 - 2*h**2 + 2 - h**3 + 2*h)*(20 + 11 - 14) + (-h**3 - 3*h**3 + 2*h**3)*(0 + 0 + 2) + 0*h**3 - h**3 + 0*h**3.\nAnswer: -22*h**3 + 68*h**2 + 34*h + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((728\/7)\/(-8)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 33*i - 2184. Give f(-84).\nAnswer: 2100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7.5. Let p = u + -3. Let k = -0.4 - p. Which is bigger: 0.3 or k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1, 158, 0.2, 0.12.\nAnswer: -1, 0.12, 0.2, 2\/7, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -7 (c) -0.1 (d) 0 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:44 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 11*l - 3. Let t be r(6). Solve -2\/3*z**2 + 1\/3*z + 1\/3*z**t + 0 = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125a17 (base 11) to base 8\nAnswer: -603110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3507876.\nAnswer: 2, 3, 97441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4430.54 to the nearest ten.\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3264264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0.5. Let k = c - -0.499872. Let r = 0 + k. Round r to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4. Let h be 12\/p + (3 - 3). Suppose h = -c + 7. Solve 2*o + c = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 18*b + 24. Let m be j(-7). Which is bigger: -7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 m when three letters picked without replacement from {n: 2, w: 1, z: 2, m: 9, a: 3, k: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 4*t + 51753*t**2 - 51749*t**2 - 3 + 16*t**4 in the form w*t**3 + u + l*t + c*t**2 + o*t**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4*q**2 + 4 in the form t + v*q**2 + m*q and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0.2 (c) -4\/11 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(112)*4 + 1).\nAnswer: -96*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14769 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v + 5*g = 11, 0 = -3*v + 3*g - 3. Solve 4*i + 0*d + 23 = d, -v*d = 4*i + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1226 - 1868954199\nAnswer: -1868954197.8774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -151*v + 218. Give i(-2).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 47\/3. Factor 4\/3*z**2 - 4\/3*z + 0 - o*z**3.\nAnswer: -z*(z - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a century in months?\nAnswer: 36600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 12 = 2*s. Is (7\/2)\/(s\/102) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52607 = -169*b - 41960 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 10.236.\nAnswer: 4.0944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0*s + 1\/30*s**5 - 1\/24*s**4 + 2*s**3 + 0 + 4*s**2. List the prime factors of d(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*u - 15480 - 34220. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5 + 5.8. Let f = 0.006 - -0.094. Let a = 0.9 + f. Is a at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2197*i**2. Let t(p) = -404*p. Calculate t(b(k)).\nAnswer: 887588*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d\/(d**(-13)*d))\/d)\/d*d))\/(d\/d**(1\/5)*d))**(-3\/4) assuming d is positive.\nAnswer: d**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4740 and 30?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -517\/5 or -1\/280489?\nAnswer: -1\/280489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012678858 rounded to 6 dps?\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c**22*c*c)\/c))\/c**1*(c**(-5))**(-3\/38))**32 assuming c is positive.\nAnswer: c**(-13136\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(-1\/6)))\/((s\/(s*s**(-23)*s))\/s) assuming s is positive.\nAnswer: s**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {b: 1, d: 1, c: 4, n: 1, j: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b6084 (base 14) to base 5.\nAnswer: 1011141003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 43*q = 615. Let h = q + 1111\/9. Let j = -59\/204 - -2\/51. Find the common denominator of h and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/1)\/(1 + -2). Suppose -3*o + 5*p + 52 = -24, -5*o - z*p = -138. Let m = o - 11. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 4046396.\nAnswer: 32371168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23939 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 8051, 2 in ascending order.\nAnswer: 2, 6, 8051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + -4 + 5 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*p + 2 - 3, -4*c = p + 7. Let q be (1\/c)\/(-1) - 2. Let z = 2 + q. Let l(o) = -3*o - 1. Calculate l(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 52. Suppose 2*f - 5*f - 3*g + 3 = 0, 5*g + 11 = 3*f. Sort -2, p, f in ascending order.\nAnswer: -2, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112133 + -4?\nAnswer: 112125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Let v(n) = -1743609*n. Determine v(s(y)).\nAnswer: 1743609*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 6) to base 13\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34 + 248 - 2358*p + 227 - 22 wrt p.\nAnswer: -2358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 8:05 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 + 58.2. Let k = q - -26.2. Is k > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - d + 47, -8*l + 3*l = 2*d - 61. Suppose -l*h - 6 = -83. Suppose n - 1376 = -h*n. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -9. Suppose -13*v + o = -8*v. Suppose -2*q = -2*r - v*q - 19820, -r - 9890 = -2*q. Round r to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8019.65 to the nearest 100.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose 2*r - m = 2*c, 2*c - 4*r + 24 = 3*c. Suppose 0 = -3*s - 4*v + 14, 3*s - c*v - 16 = 6. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*f + 3*z + 10, -29 = -4*f + 5*z. Solve -w - f = 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1\/29 (b) -1\/9 (c) 1 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1683 + -1360.6. Let n = -48.4 + i. Put 1, 4, n, 3 in decreasing order.\nAnswer: n, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:51 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) 0.3 (c) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(-3*(-20)\/(-50))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3075 (base 8) to base 11.\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 6) to base 4\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -641 or -501?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 207, 335, 465, 597?\n\"Answer: g**2 + 125*g + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-6) + (10 - (3 - 3)). Suppose 3*p - s - 14 = c, -3*c = 4*p - 42. Solve 0 = -5*t - 4*x - p - 12, -5*t - 5*x - 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1160681 or 0?\nAnswer: -4\/1160681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -15 - 35 - 1 - -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.293 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41.5 - -41. Let y = -0.6 - 3.4. Sort y, -2\/5, f in decreasing order.\nAnswer: -2\/5, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/10*15\/(-4)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -1\/2*r**2 - 2\/3*r**3 + 0*r + 2. Let a(h) = -158 + h**2 + 158. Determine a(g(q)).\nAnswer: 4*q**4 + 4*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 times -70?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22531\/3595 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -15*u**3 + 4*u**2 - u + 9. Let o be x(-5). Let n(w) = 6*w**2 + 2 - 1989*w + o*w. Let z(g) = g**2. Calculate z(n(i)).\nAnswer: 36*i**4 + 24*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -520, -1220, -2108, -3130, -4232, -5360?\nAnswer: -6460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9728 - -14281. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 153, 180, 205, 228, 249?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {d: 5, n: 3, v: 8, y: 1, k: 2, g: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.08 (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1440 and 1240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-75)*-9*360\/(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 1. Let h(x) = -2*x**2 - 3*x + 3. Suppose s - 2*t + 9 = 0, -t - 9 = -4*t. Let f be h(s). What are the prime factors of o(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -312618904739 - -312629712892.600274. Let i = -10808163 + s. Let w = i + 9.4. What is w rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 33 = -2*m. Let t = 15 - m. Suppose 212 - 22 = 5*p + 3*s, -t*p + 130 = -2*s. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -3\/4, -3\/8, -117\/79?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8020082, -8020087, -8020094, -8020103, -8020114?\nAnswer: -8020127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 10:15 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10097*c**2\/3 + 50486*c\/3 + 5\/3.\nAnswer: (c + 5)*(10097*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 774 - -dc?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1167 - 10*h**2 + 300 + 8*h**2.\nAnswer: -2*h**2 - 867","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + z - z + (-z**2 + z**2 - z**2)*(81 + 8 - 35) + (-4 - 2*z + 4)*(1 + 2*z - 1))*(0 + 0 - 2*z).\nAnswer: 114*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*o = -68, -4*f = -0*f - 2*o + 56. Let u be -35*f\/9 - (-14)\/(-21). Suppose -2*r - 1 + 5 = 0, u = i + 2*r. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 != -342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 277 - 175. Suppose 0 = i - w - 164. Suppose -11*j - i = -13*j. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i + 35. Let p be g(-10). Let s be p*(-2 - (-20)\/12). Suppose -1 = -5*t - 11. Sort s, 4, t.\nAnswer: t, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -659, -2\/11, -2\/13, 1\/2205?\nAnswer: -659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*sqrt(95)*-2 - (sqrt(95) - (sqrt(95) + 2*sqrt(95)))*-2)\/((sqrt(180) - (sqrt(180) - sqrt(180)*2) - sqrt(180))*6).\nAnswer: sqrt(19)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11273 - -11273.08402. Round u to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -1, 108 in descending order.\nAnswer: 108, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(0 - 2\/(-8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 1:38 PM?\nAnswer: 37","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-2\/43)\/w*w))**(-28)\/((w*(w*w*w*((w\/w**(-8\/7)*w)\/w)\/w*w*w)\/w)\/w**(-39)) assuming w is positive.\nAnswer: w**(-30836\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2962\/3 + 988. Determine a so that 5\/3*a**2 - a**5 + 0 + v*a - 5\/3*a**4 + 1\/3*a**3 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*19\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 22*s - 27. Let x(u) = -u**2 - 4*u + 8. Let p be x(0). Is 29 a factor of i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1635)\/545 + 5*21\/33?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*5*2\/20. Solve 0 = 5*v - p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9264 + 1723?\nAnswer: 10987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 99469290 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 15*k - 2 + 67*k + 12*k - 4.\nAnswer: 64*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/3 - (0 - 16\/(-6)). Let c be (16\/6 + -4)*(-6)\/z. What is the units digit of ((-32)\/(-5) - c)\/((-12)\/(-320))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p + 2875 - 13099. List the prime factors of p.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 1 + 0*o**2 + 0*o + 1\/3*o**3. Let c(s) = -23179 + 23179 - s. Calculate j(c(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2. Let x(s) be the first derivative of s**3\/6 + 7*s**2\/2 - 86*s + 119. Let h(p) be the first derivative of x(p). Give k(h(g)).\nAnswer: 4*g**2 + 56*g + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/20901 - 2026372\/4284705. Let q = -57456\/205 - -1401\/5. Let z = s - q. Which is the nearest to z? (a) 2\/19 (b) 0.2 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let f be 8\/(-10)*(-15)\/l. What is the first derivative of -5*t - 2 + 9*t - f*t wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 16. Give i(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*f*n**3 - f*n*x + 6*f*n - 3*f*x - n**3 - 17*x wrt f?\nAnswer: -36*n**3 - n*x + 6*n - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - 4*v**2 - 3*v**4 + (-3*v**2 + 2*v**2 - v**2)*(-2*v**2 + 3 - 3) + (-2*v + 1 - 1)*(-971 - 4557*v**3 + 971).\nAnswer: 9115*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -19*z - 77. What is the remainder when 221 is divided by u(-8)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.5, 0.3, -1\/5.\nAnswer: -1\/3, -1\/5, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -9785*s**3\/3 - 8786*s + 15769. Find the first derivative of l(z) wrt z.\nAnswer: -19570*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 19 = w - 4*u, 14 = 2*u. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -245138, -245157, -245188, -245231, -245286, -245353?\n\"Answer: -6*h**2 - h - 245131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b**5 + 50*b**4 - 30*b**3 - 2*b**2 + 10*b. Let n(h) = -31*h**5 + 149*h**4 - 91*h**3 - 5*h**2 + 29*h. Let o(r) = 17*k(r) - 6*n(r). Factor o(c).\nAnswer: 4*c*(c - 1)**3*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q - 7805. Let l = -28105\/18 - q. Let y = -89\/90 - l. What is the closest to 2 in 2, -2\/7, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31139\/2540 - 6\/635. Is l bigger than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/264 and 91\/16.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1333 is divided by -3 - (-1338 - ((-21)\/7 + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 11*i + 6. Let d be g(-11). Suppose 0 = 7*v - d*v - 18. Calculate the remainder when 35 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -r + 2, 19*y + 15 = 5*r + 14*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22085? (a) -1 (b) 31 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 8\/(-6) - 470\/(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 11. Let z = 0.11 + 0.09. Which is the third biggest value? (a) z (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39141243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 886386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107865 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.2 (b) 3 (c) -0.908 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**3 - x**3 - 2*x**3)*(2*x - 2*x - x) + 7*x**4 - 5*x**2 + 5*x**2.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7*f = 12, 3*c - 576 = -3*f. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Let g(k) = k. Let x be g(v). Suppose -d - 2 = -2*r, -x*d - 3*r = -0*d - 31. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 793 + -771. Solve -16*m + 12 = -q*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -17. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1105\/91 - 12 - (-870)\/(-14). Which is smaller: n or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*o + 151*o - 23*o + 86*o + 51*o + 55.\nAnswer: 449*o + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 8 = 2*v, 0 + 10 = -2*v - 5*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -106, -101, -84, -49, 10?\n\"Answer: b**3 - 2*b - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6765 and 2460.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -177 + 37. Let i be (-2 - 0)\/(x\/(-9114)). Let t = 1975 - i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 4*b**2 + 4*b - 14. Let h be s(4). Suppose -17 = l - 5*g, -1 - h = -5*l + 3*g. Solve 4 = -m, 32 = -n - l*n - 4*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2569 - -2632. Which is the closest to -1? (a) r (b) -7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(32) + 1 - (5 + sqrt(8) - sqrt(2))))**2.\nAnswer: -30*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -861*s**5 + 30*s**2 - s - 5.\nAnswer: -51660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bffbrbyffbfyfbnbfb. What is prob of sequence nb?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 682 and 5518?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 183*k**4 - 18489*k**3 - 56124*k**2 - 36204*k + 1248 = 0.\nAnswer: -2, -1, 2\/61, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:25 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**4\/24 - z**3\/6 - 182*z**2. Let c(b) = -5*b**2. What is c(y(o))?\nAnswer: -5*o**2 - 10*o - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.3. Let o = -3 + 2.6. Let j = o + d. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8936799 centuries?\nAnswer: 0.08936799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-15) + 0)\/((-14)\/10). Factor -y - 8\/7*l - 12\/7*l**2 - 8\/7*l**3 - 2\/7*l**4.\nAnswer: -2*(l + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) 0.02 (b) -2 (c) -8\/81 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52906 is divided by 443?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f - 8. Let j(l) = 19 - 6*l + 16 - 38 + 2*l. Give 5*h(t) - 12*j(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 11*k**2\/2 - 123*k + 147. Let w be g(11). Sort -3, 84, w.\nAnswer: -3, w, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/50)\/t*t*t)\/t*(t\/t**(1\/27))\/t assuming t is positive.\nAnswer: t**(1273\/1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from abaaacaabacc.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 39*r**2 + 3\/2*r**3 - 165\/2*r = 0. Calculate r.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/8)*h*h*h**(-1)*h**0*h\/(h*h**(-1)*h))\/((h**0\/h**3)\/(h\/h**0*h)**(-1\/28)) assuming h is positive.\nAnswer: h**(283\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4 = -3*c - 3*g, -543*g + 540*g = 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1008)*1*-3 - sqrt(1008) - sqrt(1008))*5 + -2*(-1*sqrt(1008) + 3))**2*-6.\nAnswer: -12798432 - 79488*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 4, -33.\nAnswer: -33, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6614004 is divided by 2204659.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 1 - (0 - -20 - -7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 6*c - 3. Let x be f(4). What are the prime factors of (-1)\/((10\/(-284))\/x)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 79*i**2 + 88*i + 6970. Determine y(-79).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 times -6.23512?\nAnswer: 679.62808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - l**3 - 2 + 6*l**4 - l**2 + l**4 + 0*l**3 - 5*l**4 to the form q + p*l**3 + u*l**4 + d*l**2 + f*l and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from effleeg. What is prob of picking 1 e and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/2 - 247*v**4\/4 - 943*v**3\/2 + 7927*v**2\/4 - 253*v - 2645 = 0. Calculate v.\nAnswer: -115, -23\/2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 6 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmtmjrrbmzbbttz. Give prob of picking 1 j and 2 t.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447783 is divided by 12396.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/2523)\/(6\/(-36))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8.856 * 5\nAnswer: -44.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-8))\/(-1)*-2*1. Let h(i) = -6*i - 2. Determine h(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938 is divided by 310.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6 - 82065*s**5 - 5*s**3 - 14*s**2 - 44*s + 30 wrt s.\nAnswer: -240*s**3 - 4923900*s**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001530742339 to seven dps.\nAnswer: -0.0015307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*r**2 + 75*r**2 + 74*r**2 + 2*r**3 + 74*r**2 + 83*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 8*r + 2. Let n = 27 - 21. What is s(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 33.38?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 d when three letters picked without replacement from bfwpfpdwdwff.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = -2*u, u + 38 = 4*p. Suppose p*g + 829 = 2035. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -3286?\nAnswer: 327c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/22 - 5\/165*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/64*(-20)\/3. Sort -4, 2\/79, f in descending order.\nAnswer: f, 2\/79, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1096 + -1055. Let c(s) = -204*s**3 - s**2 + 1. Calculate the remainder when c(-1) is divided by x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(245)) + 4 - (-2*sqrt(245) + -2 + sqrt(245) + 1))**2.\nAnswer: 1078*sqrt(5) + 12126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - (267\/30)\/(-1) and ((-2)\/(-3))\/(12\/267).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let s(p) = 46*p + 3. Determine s(q) - 3*w(q).\nAnswer: 49*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.2 and 0.2.\nAnswer: 4.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 21. Suppose 5*i = 2*k - 0*k + 41, 0 = -2*i - 4*k + 26. Let q be z(i). Let u(a) = a**3 - 5*a**2 + 4*a + 1. What is u(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803949.\nAnswer: 3, 73, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 77, 59, 41?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -630 + 632. Solve 0 = -f*n + y + 3*y + 2, -4*n = 4*y - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l - 139*l = -38*l - 1225. Solve c + l*c = -56 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = l + 1274996, -3*t + 683136 = -2*l - 81856. What is t rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/13*c**2 + 2\/13*c**4 + 0 - 18\/13*c**3 + 4\/13*c**5 + 8\/13*c = 0. Calculate c.\nAnswer: -2, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -3, 2\/11, -0.7 in decreasing order.\nAnswer: 1\/5, 2\/11, -0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 46*h + 118. Let g(f) = -f**2 + 26. Give -5*g(j) + p(j).\nAnswer: j**2 - 46*j - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-7)\/r)**(1\/11)*(r*r**(-2\/21))\/(r*r**(-7\/3)\/r*r) assuming r is positive.\nAnswer: r**(370\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -9*h + 71. Let w be (h\/5)\/(3\/195). Let j = w - 61. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {q: 8, l: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9211 - -13899. What is the first derivative of s*m**4 - 32 - 4810*m**4 - 104 wrt m?\nAnswer: -488*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4807, 19288, 43463, 77344, 120943, 174272, 237343?\n\"Answer: 2*z**3 + 4835*z**2 - 38*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 6:30 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*c - 13 = -3*j, -5*j + 43 = 3*c. Let z = 8 + -5. Solve g - j = -z*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * 1133\nAnswer: 135.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 29*n + 5384 = -p, -4*p - 16 = 0. Is n a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 225917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l - 53 + 130 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3095?\nAnswer: 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - 100200?\nAnswer: -100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437805498 to the nearest integer?\nAnswer: 20924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 19000 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41ab + 5?\nAnswer: 41b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60060571 (base 8) to base 6.\nAnswer: 1130121425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5272184 divided by -1.\nAnswer: 5272184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1595920 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24440 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and (-15)\/(-4)*43432\/890?\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22464 and 1056480?\nAnswer: 247216320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 = -27*x + 1404. Suppose -11*l = -8*l - 171. What is the least common multiple of l and x?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/11)\/((-2154)\/31592)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*o + y - 11 = -0*o - 2, 5*y = -8*o - 63 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3)*525\/(-10). Suppose -q = -0*q - d. What is the tens digit of (36\/21)\/(2\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 112*w + 2222. What is s(24)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60468119 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 733809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22390868?\nAnswer: 2, 23, 257, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -158, -234, -308, -380, -450?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -17516.3511 to the nearest 100.\nAnswer: -17500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -820 * -2643\nAnswer: 2167260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -t + 55, -z + 1 + 6 = t. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2368848591570612 - 0.5.\nAnswer: -2368848591570612.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -661*i + 329*i + 330*i. Let b(p) = -p**2 - 4*p. Let q(c) = 6*c**2 + 27*c. Let z(h) = 27*b(h) + 4*q(h). Calculate z(w(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 213384*k**5 + 6*k**2 + 15804*k wrt k?\nAnswer: 12803040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 12 + 28)*(4 + 1 - 1)*(47*f + 4*f + 25*f) in the form i*f + m and give i.\nAnswer: 9728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, n: 2, g: 2, p: 1, d: 2, w: 2}. What is prob of sequence gpnn?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 103140 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - 6.381?\nAnswer: -58.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*w - 12. Let t = 4 + -8. Let q = t + w. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2 - 2)*(-6 + 2 + 1) + 0*o + 3*o - 5*o + 1.\nAnswer: -5*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*-6*((sqrt(147) + -4 + 3)*-6 + -1)**2*-5.\nAnswer: -638037 + 50400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0495 + 1.0495. Let o = 0.2 - 0.15. Let p = o - -0.25. What is the closest to -1 in p, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.101 - 5.101. Let n = 3.4 - 4. Let a = n - -0.1. Sort a, d, -2 in descending order.\nAnswer: a, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241722074 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/9)\/(1\/3). Suppose -5*x - 190 = -y*i, 0 = 5*x - 5 + 20. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*b**4 + 6*a*b**2 + 3*a*b - a - 335*b**5 wrt b?\nAnswer: -24*a*b - 20100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 = -4*h + 5218, 3*h = -3. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7, 2\/11, 2\/83, 2\/781?\nAnswer: 2\/781","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-54) + (-25)\/(-90)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1945 is divided by 942.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328376 by 8.\nAnswer: -41047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/24 and 83\/502752?\nAnswer: 502752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 27. Let b(d) = 3*d - 1. Suppose 32 = -19*k + 11*k. Let j(r) = 3*r. Let i(t) = 7*t. Let c(g) = 4*i(g) - 9*j(g). Determine k*c(z) + p*b(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 0*b**2 + 3\/2*b**4 + 11 + 0*b - 7\/3*b**3. Find the third derivative of r(g) wrt g.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184206 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145793 divided by -3.\nAnswer: 145793\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-12))\/v**(-6\/11) assuming v is positive.\nAnswer: v**(-115\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccwccclcccccccc. Give prob of sequence clw.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from {q: 3, z: 2, l: 3, m: 4, b: 2, x: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(77)\/(-5*sqrt(7))) + -4 - sqrt(52)\/(sqrt(400)*3)*-6)**2.\nAnswer: 192*sqrt(13)\/5 + 7888\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.013 (b) 3 (c) -6\/11 (d) 5 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*r**3 + 14*r + 6*r**2 + r**2 - 9*r**2 + 0*r**2 - 9*r to z*r**3 + k*r + p*r**2 + x and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006470074935 rounded to 7 decimal places?\nAnswer: -0.0000647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from usaaeeb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 + 33*p**3.\nAnswer: 33*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3736034 = -469966. Round f to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*i - 33, 2*r + 5*i + 6 = -9. Let n = 64 - 75. Let j = r - n. Sort j, 15, -3 in increasing order.\nAnswer: -3, j, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*i + 3 = 0, 0 = d + d - 5*i - 16. Let o(x) = 8*x + 21. Let k be o(-2). Solve 5*j = k*l, 2*j + 5 = d*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 5*v**2 + 11*v - 6. Let g(n) = n**3 - 3*n**2 + 6*n - 3. Let x(p) = 11*g(p) - 6*h(p). Calculate the least common multiple of x(-3) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -8)*8\/5 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -642 minus 0.4?\nAnswer: -642.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 + 104 = -41*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 298*m + 3084. Give i(-138).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {v: 3, q: 1, n: 4, b: 2, s: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74356536 is divided by 1894.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**4\/4 + 2*l**3\/3 + l**2\/2 - 5. Factor y(s).\nAnswer: s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 526 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 3*n - 18, 2*a - 7*a + 22 = -3*n. Suppose a*s + 5*h = s + 8, -3*s = 2*h + 28. Find the common denominator of s and 24\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167621 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 2*i + 1. Let m = 4350 + -4352. Determine p(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1936 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -194 - a33?\nAnswer: -bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -3*o + 4*o + 4*l, -4*o - 3*l + 216 = 0. Calculate the highest common factor of o and 3417.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5565 is divided by 819?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(4\/12*1). Let z be ((6 - 3)\/3)\/m. Factor 9\/10 - z*s**2 + 3\/10*s + 1\/10*s**3.\nAnswer: (s - 3)**2*(s + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(7\/2)*n)\/(n**(3\/17)\/n) assuming n is positive.\nAnswer: n**(181\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v. Let l(b) = -6239*b. Give l(s(q)).\nAnswer: 31195*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2038 - 7726?\nAnswer: -5699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 5*b**3 + 3*b**3 + b**3 + b. Let z(u) be the second derivative of -1\/5*u**5 + 1\/6*u**4 - 7*u + 0*u**2 + 1\/3*u**3 + 0. Give -2*s(l) + z(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18968 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 259 = -119. Suppose 4*u - 62 = 14. What is the remainder when b is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 11) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1 + 3 = 0. Suppose 5*n - u = u + 32, -4*u - 24 = -5*n. Let f = 3 - n. Sort 1, f, c in increasing order.\nAnswer: f, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -198468, -198475, -198486, -198501, -198520, -198543, -198570?\n\"Answer: -2*o**2 - o - 198465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*p + 32. Suppose -b = z - 0*z + p, z - b = -24. Let w = z - -32. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 842478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p. Let a(y) be the second derivative of -7*y**5\/20 - 197*y**2\/2 + 9*y - 8. Let b(s) be the first derivative of a(s). Determine b(g(m)).\nAnswer: -336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(252) + 2 + -4 + (sqrt(252) + (sqrt(252) - 1*sqrt(252)) + 4 - 6*(sqrt(252) - (sqrt(252) - (sqrt(252) + -1)))))**2.\nAnswer: -144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1860 is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (127\/254)\/((-26)\/4).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 4. Let y = -7 + o. What is the units digit of (-4)\/(-2) + 6 + y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g*g**3)))\/(g**(-10)\/g*g) assuming g is positive.\nAnswer: g**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + q**2 + 2*q + 11. Calculate c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000327805299 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.85, 3, -0.31 in decreasing order.\nAnswer: 3, -0.31, -1.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, -50634 in descending order.\nAnswer: 1, -13, -50634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -3*k. Let n(w) = -4*w**2 + 30 + 6*w**2 + k*w - 2 + 5*w**2. What are the prime factors of n(-5)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001010101000000111 (base 2) to base 5.\nAnswer: -121132230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 54 = -2*n. Suppose -4*a + 64 = 2*d, d - 3*d = 2*a - n. Suppose -36 = -5*o + a. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143952 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4506 (b) -18.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s + 1. Suppose -2 = d - 4. What are the prime factors of m(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 380 * -711.3.\nAnswer: -270294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2395 - 1190 - 1196 + 3*u.\nAnswer: 3*u + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 223813366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6 + (-3)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - y**2 + 10*y - 11. Let x be j(-9). Let o be (-18748 - 2)*x\/15. What is o rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.19, 9, -119, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*k + 13, 5*k = g - 4*g + 14. Suppose 5*v + 2*b = 7*v - 20, 0 = -v - g*b + 26. Let y = v + 55. Calculate the greatest common divisor of 92 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-756)\/(-48))*3\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 - -1.7. Which is smaller: q or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2333*j + 173950 = -347*j - 170*j - 700*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-228)\/4*11\/6 - 2. Let r = y - -107. Put -1\/7, -0.3, r, -0.09 in ascending order.\nAnswer: -0.3, -1\/7, -0.09, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2885119.\nAnswer: 2885119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 bigger than -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4*(sqrt(350) + -2*sqrt(350)) - (2*sqrt(350) + sqrt(350))*1))\/(-1*sqrt(1008) - (sqrt(700) + -3*sqrt(700))).\nAnswer: -105*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -211. What is the greatest common factor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/627770 and -21\/741910?\nAnswer: 8161010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = -i. Suppose 3*j + i*j = 0. Suppose -5*u = -j*u - 285. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 6512581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1901 and -209353.\nAnswer: 397980053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 108 + 57. Solve w = -8*v + 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/50493972 and 91\/16?\nAnswer: 201975888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72565 is divided by 117?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-116)\/16)\/((-204)\/544).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 291 = 300*i, 3*i - 98*g + 95*g = -0 - 2 + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 498*0.29\nAnswer: 144.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52254 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*55\/(-33) - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 3\/7, -0.2 in decreasing order.\nAnswer: 3\/7, -0.1, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 4*s + 5. Let t be b(-4). Suppose 4*g - 14 = 2*h - 0*h, 5*g + 4*h - 37 = 0. Let f(k) = -k**2 - k + 12. Let x be f(0). Solve x = g*l + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 - 3 = 0. Suppose j - 2*j = m, 63 = 4*l + 5*j. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -34*h - 58. Let l be a(15). Let z = 570 + l. Solve 8*m - 6*m + z = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 48 - 4 - 24 - 1242*g.\nAnswer: -1242*g + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 6 + 2 + (-1 + 2 - 2)*(0 - 1 + 2) - 5 + 1 + 3)*(-r - 2*r - 5*r) + 42 - 42 - 23*r)*(r - 2 + 2) in the form m + k*r + w*r**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -81, -164, -249, -336, -425, -516?\n\"Answer: -f**2 - 78*f + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/7 and (83\/21 + -4)\/((-10)\/390)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -293424.\nAnswer: -47\/293424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/715)\/((-64)\/320)?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001001110 + 0?\nAnswer: -11001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346 and 549515470?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 + 3. Let m be 4\/8 - 15\/2. Let u be ((-4)\/m)\/(10\/(-5)). What is the smallest value in q, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 6. Let o be m(-7). Let z be (-1 - -1)*o\/(-26). Suppose z = -5*t + 3 + 12. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 - 164 - 6*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1773 + 1773. Let c(w) be the second derivative of 5\/6*w**3 + 0*w**4 + 0*w**5 + 0 - 2\/15*w**6 + o*w**2 - 6*w. Find the second derivative of c(p) wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -1\/4 (c) -31 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 5. Let c(o) = 12*o - 20. Calculate -2*c(u) - 9*t(u).\nAnswer: 3*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -274493.6924 to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 92. Suppose 2*i = m - 10, 2*i - 4*m = -0*m - a. What is the remainder when 74 is divided by 3 - (i - -3) - -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298*c**5 + 24*c**2 - 3?\nAnswer: -17880*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -0.4, 0.35, 3.2, 2 in ascending order.\nAnswer: -0.4, 0.35, 2, 3.2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 7*q + 9. Let r be w(-8). Let s be (-4 - -2)*(r - (-33)\/(-30)). Factor -s + 0*b + 1\/5*b**2.\nAnswer: (b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -348 - -346. Let b be 16\/x - -17 - 4. Solve 8 + 2 = -b*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**3 + 2*m**2 - 3*m + 3. Let s(b) = -11*b**3 - 3*b**2 + 5*b - 5. Let l be 1*(-6 - (-3 + 2)). Let n be (5\/15*-1)\/(2\/18). What is l*t(y) + n*s(y)?\nAnswer: 3*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a kilogram in grams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0 - 0) + 6\/(-18))*-2. What is the second smallest value in l, -5, 3\/7, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2521577?\nAnswer: 157, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-573)\/(-67805)*142)\/((((-12)\/13)\/(-2))\/(-20)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/612)\/(5\/(-30))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254982?\nAnswer: 2, 3, 7, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 109262539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60720256.\nAnswer: 2, 37, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, -814, -5, -39 in descending order.\nAnswer: 96, -5, -39, -814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*p + 3*x - 9, 3*p - 4*x + 23 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78.98 + -76. Let d = 9 - 9.02. Let z = j - d. Put 2\/17, -1, z in decreasing order.\nAnswer: z, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgiguiiikg. Give prob of picking 1 u, 2 k, and 1 i.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3666, -7331, -10996, -14661, -18326, -21991?\nAnswer: -25656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (424\/4664)\/(((-12)\/(-30))\/(8\/1)).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -11554421?\nAnswer: -11554413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5214*b**2 - 5213*b**2 - 746 + 2179 to the form j*b + s + z*b**2 and give s.\nAnswer: 1433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + -1 + (-6)\/(-3). Is ((-339)\/u)\/(2\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Let z be (3 + -5)*(-5)\/u. Suppose -z*w = -32 - 38. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-2 - -6) + (-11 - (30 - (-3 + 0))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*g = -140*g - 6070. Let q = -604 - g. Solve q*k = 2*k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1672972468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.013 + 0.013. Which is the second smallest value? (a) j (b) 3\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 1886 - 4466. Let w = 10289\/8 - o. Calculate the common denominator of w and 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -42471289*o**4\/3 + 52136*o**3\/3 - 8*o**2 - o - 343. Let k(g) = 0. What is g?\nAnswer: 2\/6517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-161 + 170 + (-51)\/21*3)\/((-69)\/3542)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -29*(4\/(-1) - (1 + 0)). Let s = -155 + c. Sort 3, -4, s, -5 in descending order.\nAnswer: 3, -4, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 4)*(-4)\/3. Let b be 8706\/y*(-6)\/(-39). Let j = 335 - b. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987548?\nAnswer: 2, 239, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {e: 2, h: 2, v: 7, u: 2, r: 2, a: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -119 or -120?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 + 29*j + 41. Let g be s(-9). Put -4, 2, g, -1 in decreasing order.\nAnswer: g, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 19*o**2 - 45*o - 13. What is a(15)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 806871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 10*p**2 + 10*p + 11. Let n = 461 + -444. What is the remainder when i(-8) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/4*10*4\/(-12)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 57295*x + 916711. Determine k(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.215947, 24 in descending order.\nAnswer: 24, 0.215947, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -11185*z + 11183*z - 2*z**2 + 3*z**2 + 1765. List the prime factors of i(0).\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 4\/149 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/6 - z. Let f(j) = -j - 1. Let y(t) = 6*t + 8. Suppose -2*l - 16 = -0*l. Let p(r) = l*f(r) - y(r). Calculate p(v(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k = -4*o + 205 - 26, -46 = -5*o - 4*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5760, -5778, -5802, -5832, -5868, -5910, -5958?\n\"Answer: -3*d**2 - 9*d - 5748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 7. Let m be u\/6 + (-21)\/6. Is m less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -2551.39\nAnswer: -7654.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8580429*r + 4*w = -8580428*r + 353, w - 83 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4ec (base 15) to base 2.\nAnswer: -10001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.142 + -0.08. Let k = u - 10.062. Are -2\/19 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (13 + -6 - 16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((48\/20)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1027 or 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45.2 + 14.8. Let f = i + -60.00000155. Round f to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 = -7*w. Is -14*2\/(-3 - w) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019992 to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -995.010051819 - -995.01. Round p to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16547.8 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2 + 1347*o - 1344 = 0. Calculate o.\nAnswer: 1, 448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010112021 (base 3) in base 12?\nAnswer: -4a537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -5708.04\nAnswer: 1712.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 231, 3, 857?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.59 + 20.59. Let d = -382 + 247. What is the closest to -1 in d, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 862 + -817. What is the lowest common multiple of 24 and s?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55, -110, -165, -220, -275?\n\"Answer: -55*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 2*m**3 - 11*m**3)*(11*m + 13*m - 3*m) + 2*m**4 + 0*m**4 - 4*m**4 + (m**3 - 2 + 2)*(0*m + m - 3*m) + 4*m**4 - 5*m**4 + 4*m**4.\nAnswer: -211*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 15*r - 117. Calculate v(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 0.17\nAnswer: -0.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13165 - 13.9\nAnswer: -13178.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/3)\/(13\/(-13)*-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -1\/24*t**4 - 1\/60*t**5 + 1550000\/3*t**3 + 0 + 0*t + 1\/120*t**6 - t**2. Let p be w(0). Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198619517 to the power of 1\/2, to the nearest integer?\nAnswer: 14093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*(2\/(-8) + (-2)\/56). Suppose -3*t = -u*m - 0*m - 70, 68 = 3*t - m. Let y(z) = -27*z - 15. Let n(o) = 7*o + 4. Calculate t*n(g) + 6*y(g).\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/15 (b) 0.7 (c) -2\/13 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 435242355 (base 6) in base 15?\nAnswer: a44dc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(3*u - u - 3*u)*(-4*u + 5*u - 3*u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*u + 11 - 3, -8 = -3*v - 2*u. Determine c so that 6 - 3*c + 3*c - c**v + 2*c - c = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 11 (c) 2\/3 (d) 1\/4 (e) 14.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4722307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 124*x - 881. Calculate f(130).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) - (-8)\/(-28). Suppose 3*i + i + 84 = 2*h, n = i - 3. Let v = h - 17. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 8\/5, -2\/7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -77, -83, -51, 31, 175, 393, 697?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 70.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let w(r) = -12*r. Let h(t) = -32*o(t) - 3*w(t). Let u be h(2). Let p(v) = 5*v - u + 3 + 2. Calculate p(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 80 = 3*x - 6*x, -3*x - 67 = -4*t. Suppose a - 2*c = t, 4*a - 3*c = 22 + 10. Suppose -g + a = -0. What is the remainder when 17 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**6\/240 - r**5\/5 - r**4\/12 - 7*r. Let m(i) be the third derivative of t(i). Let w be m(-7). Let x(n) = n + 6. Give x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 15*r + 15. Let k be c(-12). Let u = k - -18. Let d = 33 + u. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.2, -0.2, -1124, -4, 2\/11, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, 0.37, 32\/3, -74, -1\/3, 2 in decreasing order.\nAnswer: 116, 32\/3, 2, 0.37, -1\/3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**2 + t**3 + t + 5 - 3 + 4 + 11*t**2. Let g be i(-6). Suppose 0 = -f + 36 + g. Calculate the remainder when f is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-70) - (-12)\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 + 27*y - 20988 = 0. Calculate y.\nAnswer: -159, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 223\/802230 and 103\/4080?\nAnswer: 6417840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*i = 2 - 9, 0 = s + 2*i - 7. What is the third derivative of -3*h**2 + 1398*h**3 - 1398*h**s - 11*h**4 wrt h?\nAnswer: -264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6755, 27032, 60831, 108152, 168995, 243360, 331247?\nAnswer: 432656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1838940 to the nearest ten thousand.\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -36, 2 in decreasing order.\nAnswer: 2, 1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 32 - 1 = -5*v, -13*v + 57 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9330975?\nAnswer: 3, 5, 113, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, -0.3, -0.4, -3534, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - n + 24 = 0. Suppose -2*w + 30 = -n. Is (-3)\/w*-14*3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1208.\nAnswer: 120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**7\/840 - o**4\/12 - 4*o**3\/3 + 3*o + 2. Let y(v) be the third derivative of a(v). Let l(s) = -11*s**2. Calculate l(y(z)).\nAnswer: -99*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s - 911227 = 5*p, -5*p = -3*s - 1366778. Let x = -262301 - s. Round x to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6691, -12907, -19113, -25303, -31471, -37611?\n\"Answer: i**3 - i**2 - 6220*i - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Find the third derivative of f**5 + 3*f**u + f**5 - 1 + 1 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 51*o**2 + 350*o + 448. Give z(-57).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382599414 a multiple of 3013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u*u)\/((u*u**(-6)\/u*u)\/u*u) assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9374503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583176039 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 20 = 3*j. Let n = 15.05 - 20.05. What is the closest to j in n, 2, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.783121 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 351\/35 - -4\/7. Find the common denominator of x and 71\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*sqrt(432)*-1 + sqrt(432) - (-4 + sqrt(432)*-1))*5*4)**2.\nAnswer: 7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 - 3*s**2 + 2*s**3 + 2*s**2)*((2*s + 1 - 1)*(4 + 0 - 2) + 19*s - 6*s - 8*s) to the form n + j*s**2 + v*s**3 + g*s**4 + u*s and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 4548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594*y**2 - 279*y**2 - 318*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585 = 68*l + 41 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42642\/13 + 3280. Which is the third smallest value? (a) 1\/4 (b) g (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 575565 or 575563?\nAnswer: 575565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 5*j + 1, -2*j - 28*o = -32*o + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r + 3*r + 5 + 8*r. Let w(o) = -16*o + 28. Let j(u) = 28*t(u) - 5*w(u). Let z(k) be the third derivative of 5*k**4\/8 + 5897*k**2. What is j(z(n))?\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -l - 38, -5*s - 55 = -3*l - 16. Let u(i) = i**2 + 6*i - 3. Let x be u(s). Let w be x\/56 - (-165206)\/(-14). Round w to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/20 + 5*t**4\/8 + 3*t**2 + 3. Factor p(h).\nAnswer: 3*h*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13601581, -27203158, -40804735, -54406312?\nAnswer: -68007889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145318446 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -119593.\nAnswer: -1195.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**3 - 3*a**2 - 9*a + 11. Let f(r) = r**3 + 2*r. Calculate 4*f(g) + m(g).\nAnswer: -g**3 - 3*g**2 - g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 672607, 1345167, 2017725, 2690281, 3362835, 4035387, 4707937?\n\"Answer: -f**2 + 672563*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5 + 2*j**2 + 3344*j**3 + 1 + 2 - 9. Let s be o(-1). Let z = -46831\/14 - s. Calculate the common denominator of z and 29\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*1*2\/(-10). Let b = -2.2 - -0.2. What is the second biggest value in h, 1\/13, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2220818 is divided by 713?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27\/283 (b) 1.97 (c) 0.2 (d) 0 (e) -0.5 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w**3 + 10*w**3 - 3*w**4)*(-8*w - 3*w - 4*w + 13*w - 8).\nAnswer: 6*w**5 + 24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-24)\/(-4))*-8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1629.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 38*y**2 + 3*y + 2. Calculate the remainder when z(-2) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29370156?\nAnswer: 2, 3, 29, 37, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4634, 25, 7, -2 in ascending order.\nAnswer: -2, 7, 25, 4634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + 0. Suppose -2*g + 4*a = 2*g - 112, -3*a = 2*g - d. Suppose -23*t = -g*t + 10326. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 2\/9, -2174028, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40499\/7 + -5757. Let a(m) = 6*m**2 - 4*m - 3. Let s be a(-2). Let o = s - f. Sort o, 2, -5.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0 (b) 9 (c) 2\/19 (d) -4068\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 1. Let d be u(2). Let s = d + -5. Let i(f) = 2*f**2 - 3*f + 2. Let w be i(2). Solve w*g - 1 - 3 = s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) 560 (c) 2 (d) -0.12 (e) 0.4 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -5302341?\nAnswer: 5302340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0.02, -0.2 in decreasing order.\nAnswer: 28, 0.02, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*s + 208, -5*s - z = z - 498. Let g = s - 112. Let b(n) = n**2 + 12*n + 24. Is b(g) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -45.74. Let b = n + 0.08. Let k = 0 - b. What is k rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101647, -205086, -308525, -411964, -515403?\nAnswer: -618842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 0.1, -1\/490, -0.0516, 0.05?\nAnswer: -0.0516","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 80 + -497?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -406 - 320. Let b be (-12)\/(-28) - (-15416)\/(-21). Let g = b - i. Find the common denominator of g and 9\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**4*n**(2\/73))**(-25) assuming n is positive.\nAnswer: n**(-9175\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 731 divided by -8\nAnswer: -731\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22127 - -1716. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50387 - 31*q**2 + 25193 + 25194.\nAnswer: -31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1432 = -144. List the prime factors of k.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*1)\/(5\/20). Let r = p - -12. Suppose -3*d + r*z = -2*d - 33, -60 = -3*d - z. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1753b04 (base 12) to base 8\nAnswer: 22351564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 4. Suppose 9*y - 4*y - 70 = 0. What is the least common multiple of t and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kkkyy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2693663 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 3*j + 12 = 2*g - 5, 3*g + 12 = -3*j. Let s be (j\/10)\/(3\/144). Let a = -23 - s. Let f(x) = 5*x**2 - x. What is f(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f - 717 + 363 + 354.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 6*h + 4*h)*(-4*h**4 + 0*h**2 + 0*h**2).\nAnswer: -28*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*f + 2*f**2 - 918 + 20*f - 3*f - 38*f as o*f**2 + d + u*f and give d.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/17)\/j**(7\/4) assuming j is positive.\nAnswer: j**(-107\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*b = 136*b - 9162. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 4. Let x be i(-8). Let j = -40 - x. List the prime factors of (-3)\/6*2*j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -1a?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*l - 1 - 5, 5*l + 10 = -2*y. Suppose 0 = 6*q - 8*q + 8. Solve y = -i - q + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 + 2*j - 1. Let i be x(1). What is the smallest value in 0.4, i, -0.6, -2\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 9*a + 20. Let o be t(11). Let q(p) = -1416*p - 13. Is q(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -27. Suppose -i + 0*i = 2*d + j, -5*i = d - 5. Let x be 109 + -6*i\/4 + 6. Calculate the greatest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53105 + 41222?\nAnswer: -11443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2 = m - 5, 0 = -5*m - 3*k + 7. Suppose 2*s + m*s = 24. Let r be 3298\/s + 7\/21. Round r to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**2\/2 + 16*n - 3. Let z be p(0). What is the greatest common divisor of 80 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -30, 3 in decreasing order.\nAnswer: 3, 2, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*r = 18. What is the lowest common multiple of 30 and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -81\/4, 0.7, 0.03, -0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 - -92 - (-15 - (66 - 11)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00387168789 to six decimal places.\nAnswer: 0.003872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:05 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -13)*(-13 + 18 + -15).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -86\nAnswer: -5\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Let h be (s\/15)\/((-4)\/5). Which is the second smallest value? (a) h (b) -1\/8 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148.49 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 226515, 226516, 226517, 226518, 226519?\n\"Answer: n + 226514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 - 140431*j**3\/2 + 36505791*j**2.\nAnswer: -j**2*(j - 518)*(j + 140949)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {k: 1, r: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 39*s - 1904. Let h be y(56). What is the greatest common divisor of h and 1064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -623 - -573.7. Let m = v - -49.299998929. What is m rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20849 divided by 8.\nAnswer: -20849\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-33 - -76) - -41.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4756820 divided by -951364?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 3*y + 6 = -12*z, -8*y + 31 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14464 + 9166 - 19701)*(-1 + 3 + 0)*(2 - 2 - 2*i).\nAnswer: -15716*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2092, 3691, 5272, 6835?\nAnswer: 8380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17661 and 12615?\nAnswer: 88305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**3\/6 - 3*k. Let y(c) = 6*c - 1. Suppose 3*j = -3*v + 15, v + 2*v = -2*j + 12. What is v*y(n) + 10*u(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 681*y - 691*y + 11380. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 39 (b) -3\/2 (c) -2\/3 (d) 106.842 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9400\/(-32) + (-4)\/16. Let y = -290 - v. Solve -4*i + y*a + 8 = 0, -4*i - 3*a + 32 = a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72096*h + 3*h**2 - 4912 + 72096*h.\nAnswer: 3*h**2 - 4912","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33137639?\nAnswer: 33137639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10885.426 - 10885. Which is the nearest to l? (a) -4 (b) 5 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsj. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 984 and -4.62.\nAnswer: 979.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824324 is divided by 54953?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017340531 rounded to 7 dps?\nAnswer: 0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2884674 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + h**2 + h + 204. Let p be g(0). Suppose -2*i + 3*d + 138 + 62 = 0, -2*i + p = -4*d. What are the prime factors of i?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and 229.\nAnswer: 480.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 814226929 to the power of 1\/4, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcmk when four letters picked without replacement from {c: 1, j: 2, k: 6, m: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44813743411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -379, -1503, -3359, -5941, -9243?\n\"Answer: n**3 - 372*n**2 - 15*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4023 - 365 = -d, 3*t = d + 5486. Suppose h - 3*a = 2*h - 474, 0 = -4*h + 5*a + t. Factor y**4 + 2*y**3 + 462*y - h*y.\nAnswer: y**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15416.2 * -14.89\nAnswer: 229547.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6300 divided by 700?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -63 - (-38 + 52 + -61) - ((2 - 3) + 57)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340967 + 154684 = 11*u - 417239. What is u rounded to the nearest 1000?\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -19. Suppose 0 = -3*n - 7 - j. Let t(u) = -u**3 - 3*u**2 + 6*u - 6. What is the remainder when 40 is divided by t(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1 (b) -10.6 (c) -6 (d) 6 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 - 1328*h + 80640 = 0. What is h?\nAnswer: -720, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*c + 749 = 0, -4*c = -2*l + c - 287. Put -4, 5, l in increasing order.\nAnswer: l, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006677377462 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*h = -88, -2*h - 87 = 2*j - 5*h. Let y be j\/4 + (-3)\/(-6). Let v = 16 + y. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 75 = 30. Let s be (-28)\/((2\/(-9))\/(7\/y)). Calculate the greatest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 - (-14)\/63. Suppose n = -3*a - 3*v + 9, -15 = 2*a - 4*v - v. Which is smaller: a or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*m + 8 = 3*q, 4*q - 2*m - 4 = 0. Let r = q - -3. Solve -3*y + 15 = 0, -2*d - y + 11 + r = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10140 and 173312880.\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 114 = 2*r, -o - 428*r - 430*r - 51 = -1286*r + 433*r for o.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -13*y**6\/120 - y**5\/20 - 6*y**2 - 5. Let h(z) be the second derivative of u(z). What is the third derivative of h(g) wrt g?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**3 + 3*t**2 + 2*t - 1. Is i(-2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 3*s**2 + 3*s**2 + (2*s - 3*s - 5*s)*(-3*s + 2*s + 0*s) + 4364 + 6*s**2 - 4364 in the form a*s**2 + b + p*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 30, 1, 3, 0 in decreasing order.\nAnswer: 30, 3, 1, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z. Let t be q(-1). Suppose b = t*b. Which is smaller: b or 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -55737, -56336, -56935, -57534, -58133, -58732?\n\"Answer: -599*s - 55138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -463 - -290. Let o = u - -173.1. What is the closest to o in 1\/10, 0.5, 0.08?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -674 - -678. Which is the third smallest value? (a) 19 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16825, 28016, 39207, 50398, 61589?\nAnswer: 72780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*t - 6. Let m be (-4)\/t*930\/20. Let y = -39 + m. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - -19?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 13405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 18*x**4 + 15*x**3.\nAnswer: 3*x**3*(x - 5)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 812 - 816. Let i(o) = -4*o + 2*o**2 + o**3 - 2 + 2*o**2 - 4. Calculate the smallest common multiple of 20 and i(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -13380, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*d = 72, -227*d - 577 - 434 = -5*f - 135 for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**1)*v**(2\/5)*((v**(2\/9)\/v)\/v)\/v*v**3*v assuming v is positive.\nAnswer: v**(118\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/59 (b) -147 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*y - 115, 8*q - 378 = 5*q - y. What is the remainder when q is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 52*x**2 - 4*x - 4. Let j be b(-2). What is the greatest common factor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2, 0.1, 0.3, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3\/3 - 11*g**2\/2 + 85*g + 48. Let y be l(-16). Solve r + 3*i - 13 = -1, 20 = -3*r + y*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 10) + (-1 - -7) + (1 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18385 - (4 - 2))\/(-20). Suppose 0 = 4*o + a + 4774 - 1085, -2*o - 2*a - 1852 = 0. Let s = y - o. Find the common denominator of -9\/4 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805 is divided by 755?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/6)*l)**(33\/5)*(l*l**(-2\/5))**(-8\/9))**(-1\/57) assuming l is positive.\nAnswer: l**(-413\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/26569 and 2\/9?\nAnswer: 239121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + -4 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60162069?\nAnswer: 3, 11, 1823093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.96 + 12. Let r = -0.06 + q. Let v = 0.05 + r. Round v to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 2, f: 6, b: 2, n: 1}. What is prob of sequence cnaf?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:06 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 304 + 44. Let t = 1059 - q. Find the third derivative of -t*v**6 + 352*v**6 - 13*v**2 + 352*v**6 wrt v.\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - t**4 - 1 + 1)*(0 - 3 + 2)*(-3 + 5 - 6).\nAnswer: -4*t**4 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.460468 plus -0.5?\nAnswer: 274.960468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (15 + -11) - -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**22\/(k**(-2\/7)\/k*k\/(k\/(k\/k**(-4)))))\/(k\/(k**(-2\/11)\/k)*k**4)**(-2\/3) assuming k is positive.\nAnswer: k**(5176\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - l**3 + 2*l**3 + 4*l**2 + (-3*l + 4*l + l)*(2*l**2 + 0*l**2 - l**2) + (31*l - 2 + 2)*(2*l**2 - 3*l**2 + 0*l**2).\nAnswer: -28*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17480, -17854, -18228, -18398, -18160, -17310, -15644, -12958?\nAnswer: -9048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)\/t)**(6\/19)*(t\/(t\/(t\/(t\/t**19))))\/(t*t*t**4))**(-34) assuming t is positive.\nAnswer: t**(-6970\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) -3 (c) -0.5 (d) 2\/13 (e) -911\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 119*q - 110*q + 5454. Let d = 666 + q. Calculate the smallest common multiple of 42 and d.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j**2 - 4*j**2 - 29*j)*(0*j + j + 0*j).\nAnswer: -3*j**3 - 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 20*n**2 - 42*n - 30. Let p = 7811 - 7789. What is v(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03179 to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**2 - 2. Let c be p(-2). Suppose -3*b = -5 - 1. Suppose c = 7*f - b*f. 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: Product of -0.04 and 209.\nAnswer: -8.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -8) + 5 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -10. What is the units digit of (-20)\/o*27\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -747\/46 or -17?\nAnswer: -747\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**1\/n*n))\/n*n)**(-1)\/(n**1)**(-21\/5) assuming n is positive.\nAnswer: n**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) - 2\/(-4). Suppose 0 = -d - f*d - 6. Is d at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*l + 101, 4*g + 45*l = 13*l - 172 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.102 times 3.0615\nAnswer: 0.312273","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 4 = 0. What is the lowest common multiple of 16 and (-3 + 4)\/y - -21?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4323 (base 6) to base 14\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 7*s - 4*s**2 - 3*s.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 687*o - 6174. What is s(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*r + 0 - 24 = 0, -3*d = 4*r - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -b + 5. Let r = -32 + b. Put -3, r, 2 in decreasing order.\nAnswer: r, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + o**2 + 4*o + 2. Is x(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/10)\/((-3)\/165*2). Let r(s) = 4499*s**2 + 16*s + 61. Let g be r(v). What is g rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d + 59*d = -3*k - 45, 0 = -4*d + 3*k + 39 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**3\/4 + 63*a**2 - 249*a - 1770. Factor c(y).\nAnswer: -3*(y - 166)*(y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(-17*(-66)\/1496).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 - 1) + (0 - 2). Let o(m) = 23*m**2 - 27*m + 23. Let h(u) = -19*u**2 + 26*u - 22. Let d(g) = -6*h(g) - 5*o(g). What is the units digit of d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 25. Let s = -24 - b. What are the prime factors of 3 - 126\/(-2 + s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 86445*q + 691423. What is j(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 3274916.20749001?\nAnswer: 3274916.30749001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 8*w**2 + w + 7. Let a(y) = y**2 + 7*y - 2. Let v be a(-6). Let f be b(v). List the prime factors of (f - 0)*(77\/(-1) - 0).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2120*j - 2138*j = -4295*j + 1295 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(-3\/5)\/(g*g**(3\/8))**(-11) assuming g is positive.\nAnswer: g**(581\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.001486 millilitres?\nAnswer: 0.007001486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 - 120. Let u = p + 184.6. Round u to zero decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/7 + 207*o**2\/7 - 3267*o\/7 - 70863\/7.\nAnswer: 3*(o - 23)*(o + 13)*(o + 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -204\/5?\nAnswer: -204\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -59*t**6\/6 - t**2 + 2*t + 138. What is the second derivative of i(y) wrt y?\nAnswer: -1180*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -39. Solve -2*y - 8 = -b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*3*2 - -5*sqrt(30)\/sqrt(6))**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23437191.\nAnswer: 3, 29, 269393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -276510\/11, -2, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7171426 is divided by 4167?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 8:56 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**5\/7 - 20*y**4\/7 + 277*y**3\/7 + 3020*y**2\/7 - 468*y = 0.\nAnswer: -26, -9, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11664472, -11664450, -11664430, -11664412, -11664396, -11664382?\nAnswer: -11664370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.2, 5, -39, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 57558.74 millimeters?\nAnswer: 0.05755874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) -2\/7 (c) 3345\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -13*y**3\/6 - 9*y**2\/2 - y. Is g(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 2331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18)*(5 - 2). Which is the second biggest value? (a) 0.1 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -41*a**4 - 2304*a - 3*a**5 - 488 - 735*a**3 + 3*a**4 - 46*a**4 - 2094*a**2 - 459 + 83 = 0.\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273*m**2 - 31*m**2 - 111*m**2 + 21*m**2 to the form d*m + f*m**2 + s and give f.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33046 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 32. Suppose 4*o - i*o = -4. Let y be o - -2 - 210\/55. Which is the biggest value? (a) y (b) -3\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from crrcggcmgrg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-42)*1853\/(-109).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3*n - 20 = 0, 0 = 2*u - 146*n + 145*n + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 13. Let y = -9 + n. Sort -5, y, -0.4 in ascending order.\nAnswer: -5, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.523261887884 + -21527363.476696112116. Let j = -21527331 - v. Let m = 50 - j. What is m rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -53 (b) -2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4784364\/21 - (-26 - 181\/(-7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*s**4 - s**3 - 26*s**4 + 59*s**4 + (0 + 0 + s)*(-2*s**3 - 3*s**3 + 6*s**3) + s**4 + 2*s**4 - s**4.\nAnswer: 9*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 - 3*d + 5. Let x(l) = 5*l**2 + 2*l - 6. Let y(a) = 2*p(a) + 3*x(a). Find the first derivative of y(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 692054*u. Let i(y) = -1460*y. What is 4*a(g) + 1895*i(g)?\nAnswer: 1516*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 35. What is the smallest common multiple of 22 and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168036100 divided by 1?\nAnswer: -168036100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 9. Let q be b(6). Let f be 1746\/(-27) - 4\/(-6). Let d be (f\/(-32))\/((-4)\/(-2)). Put d, q, -0.5 in ascending order.\nAnswer: -0.5, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgcg when four letters picked without replacement from {y: 3, f: 4, o: 3, c: 2, g: 4, j: 4}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d + 1. Let h be j(-1). Suppose -h*o - 1899 = -14*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-55)\/(-5) + (-2)\/(-2). Let s be ((-3)\/3)\/((-2)\/y). Solve a = -a - s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 11*u - 60. Calculate c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 24 + 2 = -b, -2*s + 2*b + 28 = 0. What is the tens digit of 18\/s + 75\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 5) in base 2?\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 4*d**2 - 4. Let a be m(-2). Suppose 0 = b + 3*b. Solve -a*j + 4 = b, 3*w + 8 = -2*w + 3*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) 1\/6 (b) -1 (c) -34.5 (d) 2\/11 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4510 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1701) - (4*((2*sqrt(1701) - sqrt(1701)) + sqrt(1701)) - sqrt(1701)))\/(1*sqrt(343) - ((-2*sqrt(700) - sqrt(7)) + sqrt(7))).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*g*j**2*v**3 + 17*g*j**2 - 2*g*j*v**2 + 8*g*j*v + 4*v**3 wrt j?\nAnswer: -40*g*v**3 + 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14114ab (base 13) in base 6?\nAnswer: 343544152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -465, -625, -941, -1467, -2257, -3365?\nAnswer: -4845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2656b92 + -1?\nAnswer: 2656b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1064 and -8165.\nAnswer: 8687560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*t - 1130208 = -376*t. Does 61 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1584 - 1585. Let j(o) = 1. Let n(u) = u - 5. Calculate l*n(y) - 3*j(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 - 26*s - 1. Let l be t(-5). Suppose -26*w - 409200 = -l*w. Round w to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989088 < 1989092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4131 is divided by 1377.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-40))\/((-39)\/936)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/24 - 0)\/(4\/(-608)) is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 1:53 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.12 - -0.12. Suppose 36 = 7*k - 10*k. Let i(x) = x**2 + 10*x - 23. Let q be i(k). Which is greater: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6 + 1 - 12*r + 5. Let l(n) = n. Let g(i) = 3*i. Let h(k) = 4*g(k) - 9*l(k). Give u(h(s)).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11640425 or 11640424?\nAnswer: 11640425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4394 + -0.4402887. Round i to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112822 - 43889. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/16 - -4)*(-54 + 58).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2052)\/126 + -2 + (-48)\/(-21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = -30. Suppose -12*x + 7*x + 50 = 0. Suppose -11*s + r = -x*s. What is the highest common divisor of 322 and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3. Let a(n) be the first derivative of 7*n**4\/4 + 224. Determine -3*a(x) + 24*u(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3 + (-638)\/(-1) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:35 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9756 divided by -7?\nAnswer: -9756\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 7*m**2 - 7*m - 9. Let t(o) = -4 + 0*o**2 - o**3 + 2*o - 2*o - 3*o + 3*o**2. Give -7*t(w) + 3*z(w).\nAnswer: w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-82)\/(-8) + (-33)\/(-44). Suppose -1 + p = 5*y. Let 4*n - 12*n**2 - 6*n + 4*n**y = 0. Calculate n.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*g + 148*g + 215*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*-1)\/(-4) - 21\/(-14). Find the second derivative of -667*k**2 - 13*k**3 + 667*k**u + k wrt k.\nAnswer: -78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 2*z**2 - 4*z - 1. Calculate a(6).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9798*a**5 + 11349*a?\nAnswer: 195960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -55. Let h(o) = o**3 + 12*o**2 - 2*o + 17. Calculate the remainder when h(-12) is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4333, -4343, -4365, -4405, -4469, -4563, -4693, -4865?\nAnswer: -5085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 10013?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 72.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 11:37 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m - 2*m + 3*m**2 + 3*m + 5 - 4*m**2. Determine f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -124, -133?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/4))**(-1\/14)*(m\/((m\/m**(-4)*m)\/m*m*m))**(-48) assuming m is positive.\nAnswer: m**(16125\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2060 times -18\nAnswer: -37080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, -2, -3, -4, -5 in ascending order.\nAnswer: -5, -4, -3, -2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1304.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 + -70. Suppose 70 = 3*r + x*r. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 34*p**2 - 135*p + 1669. Calculate o(20).\nAnswer: 1369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(15\/7)*(z*z\/(z*(z\/(z*z**(-4)))\/z)*z*z*z)**26 assuming z is positive.\nAnswer: z**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*s**2 + 12*s**2 - 53*s**2 + 2 - s**3 - 21*s**2 + 11*s**2 in the form v*s**2 + u*s**3 + k + h*s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -j + 32, -3*v = -5*v + 8. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/32)\/(3 - (-18)\/(-3)). Which is the closest to -2? (a) 3\/4 (b) d (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**3 - 4*z**2 - 5*z + 4. Let a(d) = -17*d**3 + 11*d**2 + 14*d - 11. Suppose -2*s = -3*s - 11. Determine s*f(r) - 4*a(r).\nAnswer: 2*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 6 = 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**2 - 11916448*x + 35500433234176 = 0.\nAnswer: 5958224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5\/4, -26 in increasing order.\nAnswer: -26, -1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(-19)*b)\/b*b))\/b**(-17))\/(b**18\/b**(-14\/9)) assuming b is positive.\nAnswer: b**(148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -1\/2690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.44 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -212 - 9?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 8. Let t be r(6). Suppose 17 - 7 = t*a. Let y(c) = c**3 + 19*c**2 - 10*c + 675. Let k be y(-21). Solve -k - a = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s**3 - 9*s**2 + 11*s - 6. Let o(j) = 3*j**3 + 4*j**2 - 5*j + 3. Let f(l) = -2*b(l) - 5*o(l). Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471818*r**3 - 472363*r**3 + 944750*r**3.\nAnswer: 569*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.11312 milligrams in grams?\nAnswer: 0.09511312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 2*i**2 - 3482*i + 3482*i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 547145 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39, -79, -117, -153, -187, -219, -249?\n\"Answer: t**2 - 43*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (763\/(-21))\/(0 - (-2)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*y**4 + 9*y**4 - 25*y**4 + y**3 to the form j*y**4 + x*y**2 + m*y + f + d*y**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/((-3)\/156). Suppose -2*t - f = -r, 0 = -3*r - t + 81 + 18. Let c = -24 + r. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7\/18, 1\/70, -0.4, 2\/13, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u. Let a be m(3). Let f = a - 7. Let n = 25 + f. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 19. Let p be 3 - ((-27)\/d + 1). Which is the second biggest value? (a) p (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -7*s**3\/6 - 193*s**2\/2 + 28*s + 48. What is h(-25)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -x. Suppose -x*r + 22 = 3*h - 5*h, 3*r = h + 20. Let b = 20 - r. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - 4 - (-3 - 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084538?\nAnswer: 2, 1033, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13*-9 + 0\/(-2 - 3). Let l be (-12)\/u*18\/12. Is l bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-152)\/(-19))\/(-16))\/(33\/3)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c**3 - 20440*c**2 + 1791*c - 66 wrt c.\nAnswer: -72*c - 40880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 3 - 6)*(4 + 0 + 0)*(-v + 0*v + 6*v) to the form a*v + m and give a.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-6)\/4)*(-30)\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**3\/3 + a**2\/2 + 2*a + 2. Let y be i(0). Suppose -68*c + 146 - 10 = 0. Calculate the greatest common factor of y and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-21\/4)*w**(-3\/2)*w*w*w**(-2\/133)*w**(2\/11)\/w assuming w is positive.\nAnswer: w**(34625\/5852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0081957 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74358794 to the nearest integer?\nAnswer: 8623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 178832.55 to the nearest one thousand.\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/9 + (-4)\/6. Find the common denominator of -14*(-6)\/22*26\/39 and p\/9 + 197\/(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) -0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.952 - 1.352. Let l = 3.7 + -3.72. Which is the nearest to l? (a) o (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4111098 to the nearest 1000.\nAnswer: 4111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 (base 14) in base 7?\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505300.\nAnswer: 2, 5, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2736\/(-346560)*(-76)\/8?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 850.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 - 4*i. Let j(o) be the third derivative of -o**5\/30 - o**4\/8 - 3*o**2. Let u(s) = -5*b(s) + 6*j(s). What is the units digit of u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2763*f + 4336 wrt f.\nAnswer: 2763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5 - 0. Let b(w) = w + 15. Let k be b(-10). Put 0, m, k in descending order.\nAnswer: k, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 3*i**2 - 2. Let a be j(2). Let c = -799 + 802. Suppose a*l = l - c*d + 8, -79 = -5*l - 2*d. Solve 6 + 6 = -4*o, 4*x + o = l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 2*j**2 + 4*j - 3. Suppose -5*a = 2*y + y + 17, -4*y + 3*a = 13. Determine i(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 932712.5g?\nAnswer: 932712500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*c**3 - 111*c**2 wrt c?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8807 is divided by 3988?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -28, 400, -3, 327, 1\/4?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - (7 - -1)*-2 is divided by (-116)\/(-80)*5 - 2\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = -10. Let j be (-1 - -2)\/(n\/(-258)). Let x = 240 + j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*c + 1010 = 0. What is the common denominator of 2\/7 + (-503)\/70 and ((-4)\/(-220))\/(4\/c)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 375 by -6.\nAnswer: -125\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*g - 311 + 1011, 5*j - 3595 = -4*g. Suppose 3*t = k - 133, 4*t + t + j = 5*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 867 = 162*m + 1191 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 88770304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8142992 to the power of 1\/2, to the nearest integer?\nAnswer: 2854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6591 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/18 and 82\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 330\/33*((-18)\/3150*-10)\/(3\/336)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -607302 smaller than -607337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -412547 (base 10) in base 16?\nAnswer: -64b83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 o when four letters picked without replacement from {f: 1, o: 1, v: 16}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**1*z))**(-2)*(z*(z\/z**(-1\/5)*z)\/z)\/(z**(-1)*z) assuming z is positive.\nAnswer: z**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-21)\/3*-1. Let h = p - -4. Solve -4*q - 2 = -h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1810301 rounded to 2 decimal places?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 0*j + 1\/8*j**4 - 1\/2*j**3 + 64 + 1\/2*j**2. Find d, given that r(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66497 to the power of 1\/2, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 13*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*d**3*j - 4*d**2*j**2 + 11*d*j**2 + 3*d*j wrt d?\nAnswer: 210*d*j - 8*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 163*j**2 - 645*j - 24. What is y(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 621*b**2 - 3*b + 3. Let h(d) = -42848*d**2 + 208*d - 208. Determine 3*h(i) + 208*k(i).\nAnswer: 624*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31323400 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 8828.84 to the nearest 100.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 2\/15 (c) 1 (d) -1\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-5)\/((-10)\/18). Let i(y) = -y + 8. Is i(l) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 5, h: 1, d: 1, n: 4}. Give prob of sequence mmm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13*p + 28. Let b(s) = -2*s. Determine 6*b(g) - f(g).\nAnswer: g - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**6\/120 + k**5\/6 - k**4\/24 + 7*k**3\/3 - 11*k**2. Let l be t(10). Suppose c - l*c = -9. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l**3 + l**2 + 6*l + 7. Let q(c) be the third derivative of c**6\/15 + c**5\/60 + 5*c**4\/24 + c**3 + 178*c**2. What is -5*h(w) + 6*q(w)?\nAnswer: 3*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 22*n - 31*n**3 + 27*n**3 - 24*n + 1 as x*n**2 + a*n**3 + s*n + c and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/2 and (-2)\/18*3*(-38)\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73132.9 hours to nanoseconds.\nAnswer: 263278440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -2. Let p = a - 10. Let r(h) be the third derivative of -h**4\/4 - 5*h**3\/6 + 2*h**2. Let j(l) = -l - 1. Give p*j(c) + r(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.37 and 195108.\nAnswer: -72189.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111460 rounded to the nearest 100000?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - 3. Suppose -2*l - 4*s = f, 2*l - 3*s + s = 26. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1108 + 2*w**2 - 880 + 0*w**2 + (-2*w**2 + 0 + 0)*(4 - 4 - 1).\nAnswer: 4*w**2 + 228","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8\/3, 6, -3, 3.2?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10072, 0 in descending order.\nAnswer: 10072, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1040900 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + k + 39. What is o(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-3 + -2)) + -2 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 + 79188*o + 7*o**3 + 4*o**3 - 39598*o - 39590*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-1))\/(1 + 0). Let k = -5 - -9. Suppose -3*v + 16 = k. Which is the smallest value? (a) v (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 10 + 5. Let o be 1 - (s + (-120)\/(-28) + 0). What is the smallest value in 6\/5, o, -2\/15, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.45995 and -5.\nAnswer: -2.29975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.03 + 0.03. Let o = c - -12. Let l be (-3)\/9 - 10\/(-21). Sort -3, o, l.\nAnswer: -3, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 13) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17\/589?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180))**2 + sqrt(20))*-2.\nAnswer: -360 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**3 - 461*h**2 + 161*h - 2738. Give w(51).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 25, 4, 2\/25, -11 in descending order.\nAnswer: 25, 4, 2\/25, -11, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (2 - 6) - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3655 is divided by 226?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(68) + (sqrt(2448) + 0)**2.\nAnswer: 2*sqrt(17) + 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/10 - p**4\/3 - 2*p**3\/3 + 3*p**2\/2 - 7*p. Let t = 3 - 7. Is x(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*d - 4*q - 3, -3*d + 4*q + 22 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqdddqqddqqq. What is prob of picking 1 q and 1 d?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 9*q + 2*o - 27, -50 = -9*q - 5*o. Suppose -2*n - 19 = 5*h + 11, 4*n = 4*h - 4. Sort -1, q, -4, n in ascending order.\nAnswer: n, -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6485501261755.999897 - -6485506769507. Let a = -5507836 + k. Let p = 85 + a. Round p to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14297\/4011 + 4\/573. Let h = -1 + 1.1. Is r <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*9*((-15)\/(-3))\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 w when four letters picked without replacement from {g: 4, w: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 + (6 - -2))) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 2*b**2 - 5*b + 6. Let n be r(2). Suppose -n*a**2 + 11*a**2 + 24*a + 0*a**2 = 0. Calculate a.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -3, 139, -1.\nAnswer: -3, -2, -1, 5, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1543.\nAnswer: 3\/1543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 3*b - 4. Suppose -3*p - 2*p = -30. Let n(f) = -f**2 + 7*f + 9. Let y(a) = p*n(a) + 14*k(a). Differentiate y(s) with respect to s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8480204, -8480205, -8480206, -8480207, -8480208?\n\"Answer: -b - 8480203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 11:23 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 119\/3. Suppose 8*u = 15 + 17. Determine x, given that x**u + 0 - o*x**5 + 0*x - x**3 + 1\/3*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 913*i**2 + 47*i + 7. Let c be g(-27). Suppose 4635315 = 19*x + c. Round x to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414556 is divided by 136?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8083 and 30898021?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 50\/75*(405\/(-10))\/(-9). Suppose -r - 3*x - 90 = -6*r, 0 = r - 4*x - 35. Suppose -9*i + r = -m. Solve 2*z + i*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6208, -24763, -55688, -98983?\n\"Answer: -6185*y**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -785400 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645*s - 37851 = 576*s for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 596 (b) 248.6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232 - 300. Let z = u + -130. Which is bigger: -1\/3 or z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 231*j**3*n - 103*j**3 - 9*j*n**3 - 17*j wrt n.\nAnswer: 231*j**3 - 27*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4130 and 150?\nAnswer: 61950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (132\/(-18))\/((-2)\/3). Let d(o) = 3*o - 9. Let q be d(h). Calculate the highest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 48*g + 5. Let n(f) = 223730*f. Determine n(v(m)).\nAnswer: 10739040*m + 1118650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 109, 153, 183, 193?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 26*t**4\/3 - 4*t**3\/3 - 93*t. What is the second derivative of u(i) wrt i?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-282)\/(-94)*1\/12*48.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (34 - -46 - 44)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -1)*2\/(-2). Suppose -f + 2618 = 3*c, 5*c - 3824 = g*f + 516. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.4, -2\/13, -2, -2\/17?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 160 = 70 - 6 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = 5. Suppose 0*d**2 + 2*d + 0*d + 1 + d**p = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1718809 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -19 - 1. Suppose 0 = 4*i - 16 + 12. Let w be -1*(5 - i - 114). What is the highest common divisor of w and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -489, -2436, -5865, -10776, -17169?\n\"Answer: -741*f**2 + 276*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 35 - 4*s - 66.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.3. Let n be (-2)\/12 + (-13)\/(-6). Let w be (n + 0)\/((-4)\/(-6)). What is the nearest to h in -5, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 5 + 2 - 4*p)*(-p**2 - 6*p**2 + 5*p**2).\nAnswer: 6*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1166277459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t + 80. Suppose -211 = -p - 171. Let c(n) = n - 2. Let l(i) = p*c(i) + v(i). Let s(z) = 3*z**2. Determine l(s(r)).\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44900 and 8?\nAnswer: 89800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*a - 3*c + 10, 0 = 3*a + 5*c - 10. Sort -5, -2\/11, a, -2\/13 in descending order.\nAnswer: a, -2\/13, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (442\/(-5))\/(10\/(-25)) is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k + 5 = 0. Suppose 0 = -y - 0*y + k. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9017 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 1. Suppose 4*n + q = 12, 2*n + 3*q + 4 = 5*q. Let c be w(n). Let h be 17\/4 + c\/4. Solve -5*t + 9 = -p, h*t = -t - p + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + n + 5, -4*i = 4*n - 7 - 21. Solve 5 = -i*m - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2911)\/(-2))\/(56\/112) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*165\/462*(-12)\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49976, 99841, 149706, 199571?\n\"Answer: 49865*d + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14391.524 and 4.\nAnswer: -57566.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 + 76 = 4*m + 4*b, 5*m - 338 = 3*b. What are the prime factors of m?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 22*c + 7*c.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74776553.\nAnswer: 74776553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 5. Let h(g) = -g - 1. Let w be (-15)\/(-10) - 23\/2. Give w*h(t) + 2*k(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 5680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1 + (0 - 5 + 3)*(-1 + 3 + 0) + 2 + 0 + 1 + 2 - 5 + 2 + (-2 + 3 + 1)*(4 + 2 - 4) - 5 - 2 + 0)*(9*z**4 - 37*z**2 + 37*z**2).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 0.19, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10816722 < -10816722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7455 + -1401547\/188. Let q = x + -641\/141. What is the common denominator of 2\/(-8) - (-199)\/(-12) and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -367 - -371. Solve 6*z + q = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 6*g**2 + 7*g - 6. Let c be h(5). Let z = 3.501 + -0.531. Let u = z + 0.03. What is the third smallest value in c, u, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -27, -49, -75, -105, -139, -177?\n\"Answer: -2*c**2 - 12*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 530249089 to the nearest integer?\nAnswer: 23027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-1)\/(-1)))\/(4\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-342)\/54 + 1\/3. Let v(j) = j**3 + 4*j**2 - 3*j + 48. Let n be v(t). Let r(a) = 8*a - 6. Let c(z) = -2 - 3*z + 1 + 3. What is n*r(u) - 17*c(u)?\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 + 77*u - 380.\nAnswer: -(u - 380)*(u - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711561 is divided by 788?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3511 divide 16183229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 8*j**2 + 7*j. Let r be g(-7). Let a = 6 + -3. Solve -2*d + 5*w = 10, d + 5 + r = a*w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 3*n. Let b be v(3). Suppose 5*u - 2*c + 0*c - 1059 = b, -4*c - 641 = -3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -61*o + 181. Give j(8).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*c - 2 = 0, -2*p = -6*p + 4*c + 16. Find the third derivative of -33*y**5 - 37*y**p + y**4 + 28*y**2 - 64*y**2 + 31*y**5 wrt y.\nAnswer: -120*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -1120861635?\nAnswer: -1120861628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*y. Suppose 0*h = 5*h - y*m - 77903549, 0 = -3*h + 3*m + 46742133. Suppose 3*i - 14419292 = h. What is i rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/8 + (-140)\/16 + 4. Let n(q) be the third derivative of 2*q**5\/5 + q**4\/8 + 5*q**3\/3 - 4*q**2. Is n(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27031\/13 - -2077. What is the second biggest value in 3, 3\/5, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -618063 (base 9) to base 16\nAnswer: -59898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 119, 118, 115, 110, 103, 94, 83?\n\"Answer: -s**2 + 2*s + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6921551453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3062557084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1010 - -1004. Let h(s) = s**2 - s + 1. Let v(q) = -42*q**2 - 9*q + 9. Let u(o) = -2*h(o) - v(o). Is u(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06885676 to 4 dps.\nAnswer: -0.0689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + -99369?\nAnswer: -99357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 2*s + 12. Let c be t(-5). Let n = 215 + -338. Is c > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(1 + (-8)\/6). Let p be i\/(-8) + (-13)\/(-4). Let u(r) = r**3 + 10*r**2 + 8*r + 10. Let s be u(-9). Solve 3*t + s = v, -2*v + 3*v = -p*t - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37251 (base 8) in base 10?\nAnswer: 16041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 896470*q**4 + 44*q**3 + 2*q**2 - 1469376*q - 4 wrt q?\nAnswer: 21515280*q + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -986 - 956772712?\nAnswer: -956773698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 111\/(-148)*(-32)\/(-33). Sort -4, -0.3, r in descending order.\nAnswer: -0.3, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 - 78. What is the greatest common divisor of 24 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352107 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34735.1 times 0.046?\nAnswer: 1597.8146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 19*l**3 + 9*l - 13. What is the units digit of z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 17*x**8\/112 - 23*x**4\/24 + x**3\/6 - 188*x**2. Find the second derivative of p(a) wrt a.\nAnswer: 1020*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170) - sqrt(170))*6)\/sqrt(10).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 430.1899 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 3*i + 4. Suppose 2*p + 4*a + 4 = 2, -5 = 5*a. Let m be b(p). Solve 6 = m*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.41549ns in minutes?\nAnswer: 0.0000000040235915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3617, 6221, 8825, 11429, 14033, 16637?\nAnswer: 19241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/6)*w*w**(-2\/11))\/((w*w\/w**(1\/3))\/w)**(-22\/9))\/(w\/(w\/w**12)*w\/(w**(-1\/2)\/w))**(-44) assuming w is positive.\nAnswer: w**(380327\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/7)\/((-50)\/((-18900)\/(-81)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c + 12*c**4 + 7*c - 2*c + (-1 + 4 - 1)*(-c + c + c**4) as d*c**2 + b*c + p*c**3 + k*c**4 + s and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 64 = -4*p, -6*p - 2472 = -n - 2554 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 465 + -5?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.419 plus -20.02601?\nAnswer: -20.44501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**2\/2 - 3*o + 17. Let p be l(-5). Suppose p*f + 5 = 6*f + b, -7 = 4*f + 5*b. What is the biggest value in f, -2\/13, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6698*-0.5\nAnswer: 3349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -828 - -1722?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -459 + -15*((-6)\/(-6))\/(-3). Which is the biggest value? (a) u (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 790065, -12, -4, 0 in ascending order.\nAnswer: -12, -4, 0, 790065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 2*n. Let r(j) = -3*j**2 - 4*j. Let v(a) = -6*r(a) + 14*x(a). Find the second derivative of v(f) wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:36 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - 61. Let q = a - -1524. Suppose q = 4*w + 4*w. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 2*a. Let i(y) be the first derivative of 0*y + 2\/9*y**a - 2\/3*y**2 + 1. Solve i(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 1804572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2\/50918253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-2)*b)*b)**(-12)\/(b\/(b**(1\/2)\/b)*b**3)*(b\/(b*b\/b**(1\/2))*b**(1\/2))\/((b**(-2\/25)\/b)\/(b*b*b**(-8))) assuming b is positive.\nAnswer: b**(-2871\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 - 1.7. Let o = -0.62 - -0.62. Let p be (-1)\/((-1 - 0)\/5). Which is the closest to o? (a) -0.3 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 != 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 2935941?\nAnswer: -8807823","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 19362 + -19362. Is i != -1\/474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - j)*(-3*j + 5*j - 6*j)*(2 + j - 2 + (-1 + j + 1)*(-4 + 4 + 2) + 2*j + 3*j - 6*j + j + 0*j + 0*j).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1. Let z(u) = -7*u + 1. Calculate 3*y(w) + z(w).\nAnswer: -7*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least as big as 24.53096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5030.5681 rounded to the nearest integer?\nAnswer: -5031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) + 5*(sqrt(5) + (sqrt(5) - (sqrt(5)*3)**2))) - (2 + sqrt(5) + 1 + 3).\nAnswer: -456 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25195.\nAnswer: 5, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007123 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -707726140 to the nearest one hundred thousand.\nAnswer: -707700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 146819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -217, -486, -863, -1348, -1941?\nAnswer: -2642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1038516, 2076756, 3114996, 4153236, 5191476?\n\"Answer: 1038240*v + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oolc when four letters picked without replacement from ehhohcholohohchllcho.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31231 by -5.\nAnswer: -31231\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 = -2*s + 15, 2*s + 3*h = 16. Suppose 6*a = 124 + 98. Let w = a - 31. What is the lowest common multiple of s and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -215.236948 to the nearest integer.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -20, 3, 17, -705 in descending order.\nAnswer: 17, 4, 3, 1, -20, -705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**8\/2520 + 3*x**5\/20 - x**2. Let v(g) be the third derivative of d(g). Let h(p) = -2*p. Determine h(v(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/4 + 12*g - 49\/4 = 0. Calculate g.\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 154*d**2\/3 - 8014*d\/9 + 2660\/3.\nAnswer: 2*(7*d - 114)*(33*d - 35)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, m: 8, d: 2, p: 3}. Give prob of picking 2 d and 2 t.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4*j = -42, -3*j - 35 = -2*o + 2 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1799 = 317. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749625, 749626, 749625, 749622?\nAnswer: 749617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - 3*(-11 + -11)\/(-66).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -10. Let a = p - 5. Solve v + 4 - a = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 - 1. Suppose -2*c + 10 = 3*c. Let h(y) = 19 - y**c - 41 + 22. Determine -11*h(t) - 2*o(t).\nAnswer: 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -354253256088?\nAnswer: -354253256092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a + 230*a**4 - 238*a**4 + 4*a + 3*a wrt a?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.98071 millennia to decades.\nAnswer: 6998.071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8742 and 12.\nAnswer: 17484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 j when three letters picked without replacement from jujmmmuujjjmjjjmppj.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 10*u + u**2 - 2*u**2 - 8. Suppose 0 = 2*o - 4*o - 72. Let b be (-8)\/(-6)*162\/o. Calculate r(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aatt when four letters picked without replacement from {a: 3, t: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*d - 13677 + 111 = -372*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 3. Suppose -2*d = 6 - 146. Suppose -10*r + 5*r = -d. Calculate the smallest common multiple of r and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -60863, -121725, -182587, -243449?\n\"Answer: -60862*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.5 times -0.5?\nAnswer: 52.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 581, 877, 1173?\nAnswer: 1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/148 and 54\/185.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - a + 33, 5*r - a = -0*a + 30. Let x be (234\/(-63))\/((-1)\/r). Calculate the smallest common multiple of -10 + x + 0 + 0 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235 times 0.45\nAnswer: -105.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6659, -6674, -6691, -6710, -6731, -6754?\n\"Answer: -x**2 - 12*x - 6646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 5*z**2 - 7*z - 9. Let j be l(-6). Let m be j\/9 + 8\/15. Let o = 2 + -3. What is the third smallest value in m, -2\/11, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -104*b + 11352. What is the remainder when z(107) is divided by 111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 530 - 14535255?\nAnswer: -14534325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -65, -51, 11, 133, 327, 605?\n\"Answer: 2*t**3 + 6*t**2 - 54*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1026, 23, 0 in ascending order.\nAnswer: -1026, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 19452224?\nAnswer: 136165568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -609 + 608.926. Let h = q + 0.274. Let n = 3.1 + -3. What is the fourth biggest value in 6, n, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 3\/31, -0.62, 0?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669986 is divided by 274.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 5 (c) 192 (d) -4 (e) 6 (f) 4 (g) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/110)\/(408\/60). Let o = x + -1321\/1122. Let m = o - -2\/3. Which is the smallest value? (a) m (b) -0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401922697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3091 and 190949?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y - 8. Let z(t) = -2*t + 3*t - 3*t - 7. Let x(n) = 4*f(n) - 5*z(n). Let q(i) = 4*i - 8*i + 0*i - 5. Determine 6*q(d) + 11*x(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k - 1. Let w be i(-3). Let g(j) = -3*j + 1. Let m(h) = -21*h + 11. Let f(y) = -6*g(y) + m(y). Let o(c) = -c + 1. Determine w*o(d) - f(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45\/4 + -39\/4. Let n be (-48)\/(-60)*(-10)\/(-4). What is the second biggest value in n, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23)\/(-7) - 16\/56. Suppose 0 = v*c - 4*c + 65. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -3, -67 in descending order.\nAnswer: -3, -61, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 225\/135*(-42)\/(-382). Let r = u + -12539\/1719. Calculate the common denominator of (-30)\/(-68)*31\/5 and r.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/13)*f\/(f*f\/(f\/f**(1\/23))*f)*f**13*f**28 assuming f is positive.\nAnswer: f**(11855\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 + 2 - -9 - -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31918 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:13 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 29*w**2 + 3*w + 86. Let p be x(-29). Let q(k) = 10*k - 4. Let b(d) = -d + 1. Suppose 16 = -3*v - 2. What is p*q(m) + v*b(m)?\nAnswer: -4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.4. Let r = -5 + 5. Suppose 2*w - 25 = -3*x, 5*x = 4*x - 5*w + 30. What is the nearest to r in a, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t + 0*t = 122 - 2. Let g(m) = -2*m**2 - m - 19. Let l(k) = -k**2 - k - 9. Calculate t*g(i) + 5*l(i).\nAnswer: i**2 - 2*i + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(85) + -5*(sqrt(85) - sqrt(85)*4))\/(sqrt(405)*1*6 + -2*sqrt(405)*4).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -0.03 (c) 208 (d) 4 (e) -3 (f) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 51. Let g(a) = 64*a**3 - 7*a**2 + 3*a + 3. What are the prime factors of g(o)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a5a8 + 1b?\nAnswer: 3a5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -222*r - 5406. Determine d(-22).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65902000.\nAnswer: 2, 5, 83, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqlqrbpyllr. Give prob of picking 1 q, 1 y, and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 111121002222120 (base 3) to base 11\nAnswer: 4095972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -16*u**5 + 4260*u**4 - 187568*u**3 + 218340*u**2 + 410184*u = 0.\nAnswer: -1, 0, 9\/4, 54, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*w - 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzbppbpbpzpz. Give prob of picking 1 b and 2 z.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*j + 5\/4*j**2 + 0 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81 or -28384\/349?\nAnswer: -28384\/349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 5 (c) 0.6 (d) 808273\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/141, 0.06, 3\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 3\/5 (c) -3\/428 (d) -0.3 (e) -40 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 519699\/22 or 23623?\nAnswer: 519699\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1495*h - 929835 = 1490*h, t + h - 232457 = 0. What is t rounded to the nearest 1000?\nAnswer: 232000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/12 of a day?\nAnswer: 1560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(4\/(-2)) - 2. Suppose r*u + 0*u = 0. Let o = 60 + -35. Solve u = w - 3*b + 7, 2*w - o = w - 5*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 9) to base 10\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15642 and 14220?\nAnswer: 156420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37263.\nAnswer: 3, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h**2 + 1. Let n be d(-1). Let x be ((-2)\/(-7))\/(n\/(-77)). Solve 7 + 3 = -x*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 5*q**4\/6 - 2*q**3 + 15*q**2 + 2. Let c(s) = -s + 1. Determine -12*c(t) - j(t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.1, -1, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 11*c**2 - 19*c + 26. What is s(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 13) to base 15.\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 1 + 94*k - 2*k**3 + 50*k - 33*k - 3*k**4 - k**4 + 3*k**4 in the form x*k**3 + l*k + o + g*k**4 + s*k**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**2\/5 - 1640152*v\/5 - 168131161444\/5 = 0.\nAnswer: -205019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1461\/2930 + -2\/1465. What is the closest to 0.11 in s, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:16 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/84*3*(-1428)\/(-561).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 198097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(11) + sqrt(11))*4)**2 - sqrt(11) - (5*sqrt(88))\/sqrt(8))*-5.\nAnswer: -5520 - 1570*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79\/12 + 19\/3. Let h = -0.01 - -0.41. What is the nearest to 1 in 1\/7, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 93. Suppose 2*f - p*g = 26, -2*f + 10 = 3*g - 4*g. Solve 3 = 5*v + f*o, 3*v - 9*o = -4*o + 29 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477040910.\nAnswer: 2, 5, 17, 2806123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/5))**(-20\/11)\/(a**(-1\/8)*a*a**(-11)*a))**(4\/9) assuming a is positive.\nAnswer: a**(75\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11011000?\nAnswer: -11011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -39*o - 326. Suppose 0 = u + 44 - 22. What is the tens digit of s(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**6\/240 - d**5\/20 - d**4\/4 - 7*d**3 - 7. Let n(p) be the third derivative of i(p). Suppose n(a) = 0. What is a?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38.2 greater than or equal to 135005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36404 = -22*r + 14482. What are the prime factors of r?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvhvvvxuuvxvv. What is prob of sequence vx?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 364988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 19 - 18)*(0*j**3 + 5*j**3 - j**3).\nAnswer: -124*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -14 + (33 - 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -5*k**4\/4 - 17*k - 3. What is the first derivative of x(m) wrt m?\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -5) + 2 + -8 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, -3\/8, 0.4, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2\/(-1))\/(-2))\/1*2. Suppose y*i + i + 24 = 2*b, 2*b + 3*i = 36. Calculate the lowest common multiple of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2097 - 440. List the prime factors of b.\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/12 + (-3)\/21. Let v(a) be the second derivative of 0*a**2 + a + 0*a**3 + c*a**4 + 0. Factor v(s).\nAnswer: 2*s**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*r**2)*(2 + 3 - 2)*(-10786 + 10786 - 41*r**2).\nAnswer: 246*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 58. List the prime factors of m(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/70032 and 127\/35016.\nAnswer: 70032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65261336 and 3664?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2818129.\nAnswer: 271, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122 or 489\/4?\nAnswer: 489\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 + -3 + -1 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.5, -343.7?\nAnswer: -343.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 518 or 520?\nAnswer: 518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 38*n**2 + 862*n - 8210. What is o(29)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -430.5 - -431. What is the nearest to 2\/7 in q, -0.27, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 5:27 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 12, -5*y + x = -19 - 5. Solve 4*o - c - 20 = -y, o + c = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 take away 27606707?\nAnswer: -27606747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -16. Sort 4, 7, l in decreasing order.\nAnswer: 7, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249260206?\nAnswer: 2, 3, 23, 16298987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 4. Let t be p(2). Suppose 12 + 0 = t*k. Suppose -c - 70 = -k*c. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.243651 weeks to nanoseconds.\nAnswer: 147360124800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 201 - (105 - 27) - 87.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3 = 5*j - 13, 6 = 5*f + 3*j. Is -1\/49 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081855319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u - p - 453, -5*p = 5*u - 435. Suppose 0*w = 3*w + x - 59, 10 = 2*x. Calculate the greatest common divisor of w and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1089425*v. Let r(c) = -5*c. What is r(g(z))?\nAnswer: -5447125*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - g**2 + 6. Let n be c(0). Let v be 6\/(-9) + (-235)\/(-15). Suppose 0 = n*k + 21 + v. Let r(m) = m - 3. Calculate r(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -323*t**2 - 482*t wrt t.\nAnswer: -646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28085076, -28085073, -28085058, -28085025, -28084968, -28084881, -28084758, -28084593?\n\"Answer: z**3 - 4*z - 28085073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9*s - q - 15 = 0, 0 = -3*q. Suppose 552*b + 2049*b - 153*b**2 - 6*b**3 - 9305 + 9*b**s - 5434 = 0. What is b?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 18 + 28 + (26 - 34).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23653708.\nAnswer: 2, 13, 19, 89, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - -4) + (1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 24, 128*q - 132*q - 5*u + 5366 = 0. Calculate the lowest common multiple of q and 22.\nAnswer: 14674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-74)\/37)\/(4\/((-12)\/15))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*f - 517, -257 = -f - k - 86. Suppose 23*o - 109 = f. Solve -7*v + v = -o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 0. Let n = 2 - f. What is the third biggest value in n, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 153\/68 + 1\/(-4). Does 4 divide 64\/10*(6 + y\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 249.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 3*h - 5. Let v = h + -17. Solve 4*k - 2*y - 11 = y, -5*k = 3*y - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1197\/4446)\/((-84)\/96)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.247831 nanograms to milligrams.\nAnswer: 0.000000247831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 170\/((-4)\/4) - -3. Let w = s + 199. Let b be (-3 - -1) + -8 + 12. What is the highest common divisor of b and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 135 = -19*z - 344, -5*f + 36 = -z + 25 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 49431\nAnswer: -14829.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9*l\/((l\/((l\/((l\/(l\/((l*l**(-1\/8))\/l)))\/l))\/l)*l*l)\/l)*l**25\/l*l**(-10)*l assuming l is positive.\nAnswer: l**(193\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243448 is divided by 2647?\nAnswer: 2571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -7*j**4\/4 + 7*j**2\/2 - 5*j + 2. Let v(q) = -11*q**3 + 11*q - 8. Let l(n) = 8*h(n) - 5*v(n). Factor l(s).\nAnswer: -s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -90 (b) -2\/7 (c) 7\/2 (d) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a**3*x + 788*a**3 - 193*x wrt x?\nAnswer: 4*a**3 - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282673 is divided by 17394?\nAnswer: 4369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 3*t**3 - 3*t**3)*(0*t - t - 2*t + 0*t + t - 2*t + 0 + 0 + t + (-t + 4*t - 2*t)*(-2 - 5 + 5)).\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**2\/2 - 7*c + 1. Suppose 0 = -51*r + 47*r + 120. Suppose -4*x - 50 = -r. What is d(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 709318185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -280 in -2\/3, 0.2, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 129.\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 297\/4 - 73. Let w = 42 - 42.141. Let d = w - 0.159. Which is the smallest value? (a) 5 (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.438? (a) 1\/9 (b) -118 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 24*p - 24. Let t be j(-13). Sort 3, t, -2 in increasing order.\nAnswer: -2, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 501 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000001111011101 + -101?\nAnswer: 1100000001111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -3\/1988549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*r - 729 + 2781. Suppose r*k - 42*k = 5820. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15483.\nAnswer: 3, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:45 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -113 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y + 71*y + 378 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276014251?\nAnswer: 443, 623057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 3. Let x be n(2). Suppose -3*b + x - 10 = 0. Let a be 0 - b - (-250)\/(-75). What is the closest to -0.3 in a, 6, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -3 - (0 + (7 - 3) - -3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/3*(-262)\/(-2096). Factor 0 + 0*m - 1\/2*m**f - 9\/2*m**2.\nAnswer: -m**2*(m + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -148. Let x = t - -11. Let l = x + 102. Find the common denominator of 23\/8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/49? (a) 0.6 (b) -0.3 (c) 1 (d) 5 (e) -5907\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51581200 by -16.\nAnswer: 3223825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - -1) + (-2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 25.9. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 10 = -b + 5*n, -15 = -3*b + 5*n. Let v(a) = -a**3 + 4*a**2 + 4*a + 3. Let q be v(b). Let s = -514 + 509. Sort s, 3, q in descending order.\nAnswer: 3, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l. Let x(b) = 6*b. Calculate j(x(g)).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*i + 122, 28 = 2*d + i + 3*i. Let o = d - 16. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62.7, -125, 0 in descending order.\nAnswer: 0, -62.7, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1563ba8 (base 15) to base 16.\nAnswer: ec9288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6008 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-135)\/(-60)*52\/(-8)*(-2)\/(-84) and 37\/104.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -365 + 545. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.18 (b) 4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1506, -1721, -2072, -2559, -3182, -3941?\nAnswer: -4836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 6122520.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58168.\nAnswer: 2, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1758 + -905. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*k - 1, r = -2*k - 2 - 3. List the prime factors of ((-700)\/75)\/(((-1)\/k)\/(-177)).\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 2:16 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 20415?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000448436 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h = -35*h + 9. Let t = h - -105. Let m = -27 + t. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46793579 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6760 - 1980. Let i = f + -1961. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(2\/3))*h)**(-1\/27)*(h**(2\/5))**(-1\/8) assuming h is positive.\nAnswer: h**(-101\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 40*x**2 + 211*x + 204. Calculate n(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 656 or 655?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 9*j - 14*j = 21, 2*l = -j + 7 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 12, t: 6}. What is prob of sequence atta?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -45.95803269?\nAnswer: 35.95803269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 14*g + 1\/20*g**5 + 13\/12*g**4 + 0*g**3 + 0 + 0*g**2. Find the third derivative of a(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-930))\/((-2)\/(-6)) - 72\/(-1116)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340980415?\nAnswer: 5, 151, 1776133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10*r + 7*r - 19 = 0, -h - 5*r = 5. Suppose h*p = 5*p. Solve 3*j + 5 + 1 = p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 7 = -2*d - 4, 0 = -d + 4. Let f be 24\/n*(-75)\/(-6). Calculate the greatest common factor of 24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 + 5 = -2*w, 0 = -4*d - 5*w + 35. Suppose d*i - 3*r = -169, 3*r - 41 = i - 0*i. Is (2056\/i)\/(2\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -6, 1\/2, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + -114. Suppose 0 = -3*v + u - 285, -69 = 3*v + 5*u + 234. Let q be -3*(v\/45 + 2). What is the third biggest value in s, -2\/13, 2\/17, q?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 4. Suppose o*t = 5*k + 41, -4*t + 0*k + 31 = 5*k. Suppose 27 = 4*p - t. What is the lowest common multiple of p and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0651, -2\/37, 3\/8, 33\/5?\nAnswer: 0.0651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1882 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1081 - -19824. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0.4, -2\/5, -10, 10875?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 23*r**6\/30 + 27*r**2\/2 - 32*r. Differentiate a(p) with respect to p.\nAnswer: 92*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**7\/357 + d**6\/85 + 3*d**5\/170 + d**4\/102 - 7*d**2. Factor z(m).\nAnswer: 2*m*(m + 1)**2*(5*m + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*y + f, y + y + 5*f - 21 = 0. What is the closest to -0.049 in -0.5, 3\/4, 1, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 a factor of 34212739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*k**2 - 67 - 398*k**2 + 530*k**2 to the form h*k + g*k**2 + o and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -572612758 or -0.1?\nAnswer: -572612758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 5*l**2 - 6*l + 9. Let j be (-1)\/(-5) - 29\/(-5). Let r be t(j). Calculate the highest common divisor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (336\/(-32)*2)\/((9\/(-9))\/((-1)\/10))\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in -2, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 3*f + 1. Let d be s(-2). Suppose -3*b + 3 = 5*u, -2*u + 0*u = -d*b - 18. Is u\/15*-2*-5 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1853*j*t**3 - 4219*j*t**2 - 27*t**3 - 588*t**2 - 2*t - 14 wrt j.\nAnswer: -1853*t**3 - 4219*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/17*(-10)\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -22*x - 154. Let k be z(-7). Suppose 3*u = u + 16. Suppose -3*h + 1 - u = -4*g, -24 = -3*g - 4*h. Solve g*p - p + 12 = k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1224 - -136.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a**2 - 6*a + 106. What is r(0)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*y - 3 - 267*y + 532*y + 3 + 5*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 1. Let h(l) = 10*l**2 - 150*l + 50. Calculate -150*b(p) - 3*h(p).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -3 + 3 + -4. Suppose -4*m + k*m = 0. Let b be ((-8)\/70)\/((-2)\/5). What is the closest to 1\/4 in b, m, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Let v(b) = 4*b**4 - 8*b**3 + 12*b. Let g(o) = v(o) - 4*x(o). Factor g(p).\nAnswer: 4*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115234*k**4 + 12*k**2 + 8049*k.\nAnswer: 2765616*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1370885*c - 3234779 with respect to c.\nAnswer: 1370885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3446*p - 60 = -3445*p + 10*v, 5*p - 150*v = 900 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -1 (c) 37314 (d) -5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14721960 divided by -456?\nAnswer: -32285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*l. Find the common denominator of 32\/(-42) + (-5)\/(-15) and l - -1*(20 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ololooooooooo. What is prob of sequence lool?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 divided by 145?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + k**2 + k**2)*(-2*k - 2 + 2) - 417*k**3 + 346*k**3 - 460*k**3.\nAnswer: -529*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(70\/(-7) + -2 + 33353)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-3 - -22) - -17\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/20 - 2*b**2 - 13*b. Let l(f) = 38*f**2. Calculate l(q(r)).\nAnswer: 342*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16\/7 (b) -5 (c) -45\/7 (d) 6 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 5*n - 1\/2*n**2 + 3. Let r be g(-5). Calculate the highest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*r - 4*r + 1290 = 0, -5*r = 4*l - 1720. What are the prime factors of l?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 16 = 2*k. Let j = k - 53. Let w be 4\/(-16) + j + 3. Which is the closest to 0? (a) -3 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**18*g**(-1\/3)*g\/(g\/(g*g**(-33))*g)*g**(-6\/25)\/g)**(1\/34) assuming g is positive.\nAnswer: g**(-1243\/2550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -85 and -1.751.\nAnswer: 148.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 154, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112201002011 (base 3) in base 9?\nAnswer: 1481064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -26. Suppose p*o - 2*v = 211 + 159, -2*v - 8 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -14*q + 6. Suppose 24 = 12*y - 27 + 3. Give u(y).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*b - 23 + 31, -2*t + 2*b + 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6649488ml?\nAnswer: 0.0006649488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9071500 and 3500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6. Let i(u) = 2*u - 32. Let s(r) = -16*b(r) + 3*i(r). Calculate s(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, -244, 9, -7, -5 in decreasing order.\nAnswer: 9, 5, -5, -7, -8, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y + 36. Suppose w + 4 = 8*b - 4*b, 4*b - 20 = -3*w. Calculate the lowest common multiple of w and ((-33)\/y)\/(1\/8).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 23*w - 18. Let i(f) = -65*f**3 + f**2 - 2*f + 1. Let o be i(w). Is -3 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1819.41 and -1?\nAnswer: -1819.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*h - r, 7*h - 12*h = -5*r - 30. Let q be 0 - -1*(2 - -1). Suppose 4*s + 4*k - 20 = 60, 2*k = q*s - 35. Solve -c - h*c + s = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 828 divided by 6.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5309 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 17*f**2 - 18*f - 29. Let t be o(-16). Suppose -t*h + 22 = m, -18 = -2*h - m + 2*m. What is the remainder when 22 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 1\/9, 1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17543 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17 - -0.18. Let a = y + -0.41. Suppose -7*g + 8 = -9*g. What is the closest to 2 in 5, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282 and 64766.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 10. Let a = h + -5.0000075. Round a to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68 times 17?\nAnswer: -11.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and ((-21)\/(-5))\/((-36)\/(-5) + -7).\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - ((-12)\/20 - (-23)\/5). Solve o = -f + 3*j, 2*f - 5*j - 25 = 6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 90*i**2 - 300*i + 1000.\nAnswer: -5*(i - 2)*(i + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/((-2)\/12). Suppose 2*r + 2*j + p*j - 29 = 0, -31 = -r + 3*j. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3389430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 + 3 + -5)) + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -629934 - -183534. What is l rounded to the nearest ten thousand?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - m - 513 = 0, 12 = -m + 11. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3505 in -92, 3\/25, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6394 is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (27 - 36) + (5 - 3 - 0) + 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 163, 357, 637, 1009, 1479?\nAnswer: 2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9393862 to three decimal places.\nAnswer: 4.939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 12*f - 9. Let h be z(13). Let m be h\/(-42)*3 + 111\/21. Suppose -330 = -m*n + 3*p, -3*p = -4*n - 137 + 401. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide (-42)\/39 + 1 + 6876352\/364 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or -1\/381?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7271024 is divided by 1951.\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43524670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/7 - 167506*c**2\/7 - 3510881110*c\/7 - 150658328150\/7 = 0.\nAnswer: -41855, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3140*j**3 - 15847*j**3 + 3201*j**3 + 3196*j**3 + 3201*j**3 + 3195*j**3.\nAnswer: 86*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -8.94. Let o = -29.06 + x. Let m = o - -28.99915. Round m to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let h be 3\/2 - m\/(-2). What is the second derivative of 0*l + l**2 - 2*l + l + h*l wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 33*h - 116*h - 74*h.\nAnswer: -157*h + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/21895 and 25\/116?\nAnswer: 87580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.23 + -1.23. Sort 0.2, z, 16.\nAnswer: 0.2, z, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106018 is divided by 285?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476344510 is divided by 6489.\nAnswer: 6487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-2\/23)*b)*b)**20 assuming b is positive.\nAnswer: b**(500\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 787529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 241843.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12310421 (base 8) to base 4.\nAnswer: 22121010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - 3) + (17 - 19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/8*g**5 - 81\/8*g**3 + 21\/4*g**2 + 48*g + 36 - 15\/4*g**4 = 0. What is g?\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7786 minus -0.3?\nAnswer: -7785.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -1128779?\nAnswer: 1128758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = -19*x + 1467568. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 863220 divided by 2\nAnswer: 431610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1055 - -4764. Calculate the remainder when q is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -41, -46, -51, -56?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-6))\/(21\/(-6) - -3). Let m be 184\/(-368) - l\/(4\/661202). Round m to the nearest 1000.\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(220) - -2*sqrt(55)*-5)\/(sqrt(720) + 2*sqrt(720) + sqrt(720) + -2*sqrt(500)).\nAnswer: -3*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*n + 12 + 53*n - 9 + n**2 + n**2 - n**2 + n**2 + (-4 + 2*n + 4)*(-n - 2*n + 2*n) - 2*n**2 + 0*n**2 - n**2.\nAnswer: -3*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2959995*n + 4. Let j be t(2). Suppose 0*f + 4*f = -2*q - j, 5*q = 15. What is f rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 115 - 26 + 6*v + v - 8*v. What is the units digit of k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 3:40 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.153, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 12 + -1 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j - 29*j - 25*j.\nAnswer: -85*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8464931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0157 and 580.\nAnswer: 9.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgfgggdggdgddd. What is prob of picking 3 d?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.84 + 7.2124. Let g = 0.385 - t. Round g to 4 decimal places.\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 - a**3 + 4 + 4 + 9*a**2 - 4*a**2. Let q be f(9). Suppose 10 + q = v. Calculate the highest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33212 divided by -4?\nAnswer: 8303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 39*i + 199*i + 2 + 6 - 13 in the form w + f*i and give f.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s + 0*s)*(-3 + 3 - 1).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 12*l - 5148.\nAnswer: (l - 66)*(l + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14176.034 rounded to the nearest 100?\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.02 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (3 + -15 - -23)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.19 - 0.43.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1029 and -185\/7194768?\nAnswer: 7194768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1200546 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (30 + 22 + -48 + (-1396)\/390)\/(-4) and 41\/35.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + -5 + (4 - 1). Suppose 4*z - 4*i - 14 = 62, 5*i + 73 = m*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10616 - 6746. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 6. Let i be o(4). Let j be i\/7 + 4\/14. Solve -z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/w*(w**(-4)*w)\/w)**6\/(w*w*w**(-5)*w\/w**(-3\/2)*w)**(-3\/29) assuming w is positive.\nAnswer: w**(-3129\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4726397?\nAnswer: 13, 363569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*((sqrt(528) + sqrt(528)*-4 - sqrt(528)) + sqrt(528) + sqrt(528)) - sqrt(528)))\/(sqrt(1331) + (-2*sqrt(1331)*6 - sqrt(1331))).\nAnswer: -3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*i + 161*i + 127*i**2 + 135*i**2 - 260*i**2 to r*i + t*i**2 + o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -197168.\nAnswer: 1183008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-4*c + 2*c + 3*c) - c - 5*c + 2*c + c + 0*c + c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9*j - 3 + 6.\nAnswer: 9*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18140*d**3 + 258*d**2 + 18559236 with respect to d.\nAnswer: -54420*d**2 + 516*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -129, -5 in ascending order.\nAnswer: -129, -5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1895 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 788 + h**4 - 783 + 11*h**3 - 5*h + 1571 to b*h**2 + y + u*h + o*h**4 + c*h**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(60))\/sqrt(12) - (-2 + sqrt(10)\/sqrt(2)).\nAnswer: -3*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/((-11)\/66). Suppose 16 = -p*w + 60. Calculate the least common multiple of 7 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o - 57. Let z be 2 - 3 - 2*(-8)\/4. Suppose -z*s + 8*d + 619 = 10*d, -d = 4. What is the greatest common factor of s and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 45) + 6 + -10 + 4 + 3.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + (-3 - -1 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 3656*w\/5 + 27178816\/5.\nAnswer: -2*(w - 4712)*(w + 2884)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 7. Let w be o(11). Suppose w*u + 7 + 53 = 0. Let v be ((-1)\/(-3))\/((-4)\/u). Are 2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5854172.\nAnswer: 2, 29, 109, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1492594, -2985183, -4477770, -5970355, -7462938, -8955519, -10448098?\n\"Answer: s**2 - 1492592*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52256 and 211012?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 35 = 3*k + 3*b, -2*k = -4*b + 12. Suppose -6 = -k*q + 2. Suppose q*t - 57 = -t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1164447 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 0 - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 7*f - 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 680 divided by -5\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12212907 and 73794?\nAnswer: 24425814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389, -1534, -3455, -6164, -9673, -13994, -19139, -25120?\nAnswer: -31949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*m + 1 = 0, 5*m - 5 - 9 = 2*z. Suppose -22128 = g - z*g. Let h = g - 177091\/16. What is the common denominator of 79\/20 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m + 22. Let b(u) = -7*u + 15. Let g(a) = 8*b(a) - 5*i(a). Let h(d) = -4*d + 39. Let j(v) = 18*g(v) - 4*h(v). Let k(z) = -2*z**2. Give k(j(p)).\nAnswer: -8*p**2 + 192*p - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighty-seven fifths of a kilogram?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 36 = 2*u, 0 = -4*u - 5*m + 6 + 6. Let r(h) = h**3 - 7*h**2 + 9*h - 7. What are the prime factors of r(u)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1416976 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-30)\/5)\/(-48)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**4 - t + 54*t**4 + 2 - 40*t**4 - 3 + 22*t**3 - 1 + 3*t**2 as a + h*t + p*t**2 + g*t**3 + j*t**4 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1843499*g**2 + 35275351*g?\nAnswer: 3686998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 4878*c**2 - 1982907*c.\nAnswer: -3*c*(c + 813)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmssmsfffs. What is prob of picking 1 f, 1 m, and 1 s?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/85, 0.1, 3, -2\/9, -2\/21 in descending order.\nAnswer: 3, 0.1, 2\/85, 0, -2\/21, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-3) - (45400\/(-15))\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51486*a**2 + 51486*a**2 - a - 320*a**3 + 3*a.\nAnswer: -320*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 2:49 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 17358 = -5*u. Find the third derivative of -4*i**4 - 797 - 3*i**2 - 2*i**2 + u + i**6 wrt i.\nAnswer: 120*i**3 - 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-21)*(-3)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1946 divide 1150086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18139903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.3? (a) -2\/11 (b) 3 (c) -2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 117) + 98 + -76 - (-3 - -13)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 3\/7, 3\/2, 19\/6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from nlzttllznllzl?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 523*g**8\/56 - g**4\/12 + 89*g**2 + 131*g - 3. What is the third derivative of n(y) wrt y?\nAnswer: 62760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 351 - 347. Let l(v) be the first derivative of 0*v + 1\/3*v**2 - 1\/6*v**b + 0*v**3 - 5. Suppose l(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aco when three letters picked without replacement from naknkoknccwcckkww?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/(s\/(s**5*s))*(s**(-3\/4)*s)\/(s**(1\/6)*s))\/((s\/(s**0\/s))**(-1)*(s*s**1\/s*s)**(7\/8)) assuming s is positive.\nAnswer: s**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*l + 8 = -v, v = -4*l - 17. Suppose 0 = 5*z + v*g - 60, -2*g = -2*z - 2*z + 26. Calculate the remainder when z is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 10*o + 18. Let q(k) = -2*k**2 + 11*k + 19. Let a(h) = -3*g(h) + 2*q(h). Determine a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000917693 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*v - 25, -6*q + 2*q + 3*v - 22 = 0. Let f(w) = 52*w - 1. Let y(p) = 35*p - 1. Determine q*y(z) + 5*f(z).\nAnswer: 15*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffqa when four letters picked without replacement from {a: 1, k: 4, i: 3, q: 1, o: 6, f: 3}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 376 - 376 - 9*c**2)*(-3*c**3 + 0*c**3 + c**3).\nAnswer: 18*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 100*j**2 - 8*j - 6. Let z(g) = -199*g**2 + 14*g + 10. Give -5*u(l) - 3*z(l).\nAnswer: 97*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/(6\/144*4). Let h = g - -7. Solve 0 = 2*z + 4*t - 6, -5*t + h = 5*z - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -10*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*j*r**2 + 6*i**2*j*r + 2*i**2*r**2 - 34*i**2*r + 13*j*r + 28*r**2 wrt r.\nAnswer: -2*i**2*j + 4*i**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017472071 to 7 decimal places.\nAnswer: 0.0017472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/3, 8, -151, -4, 44\/7.\nAnswer: -151, -4, -3, -1\/3, 44\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190 and 695210.\nAnswer: 695210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (-5 + 4)) + 346. Suppose 3*x + 0*g - b = g, -5*x = 4*g - 596. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8252251.\nAnswer: 7, 19, 62047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 1. Suppose 0 = l + 3*d - 3, -5*d - 29 = -12*l + 8*l. Let a(b) = 14*b - 8. Give l*a(y) + 44*n(y).\nAnswer: -4*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13.333 - 3.4326\nAnswer: 9.9004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -17814*o**3 - 2*o**2 - 6*o - 2. Let n be p(-1). Calculate the highest common factor of n and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*j - 44*j + 4. Suppose -t + 27 + 27 = 3*g, 3*g = j*t - 156. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m + 19*m = 4*m + 45 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43182279 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**6\/60 - z**4\/8 + z**2\/2 + 1. Let d(p) be the second derivative of s(p). Find the second derivative of d(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290.276 + -279. Let o = s - 0.076. Let d = -11.20000134 + o. Round d to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 5*o**4 - 7740*o**3 - 60466095*o**2 + 121658016150*o = 0.\nAnswer: -3630, 0, 2589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*j - 2 = -173*j + a, 0 = -3*j - 3*a - a + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 + 0.06. Let t = 75 - 75. Which is the closest to 2\/7? (a) d (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(300)\/(sqrt(30)\/sqrt(3)) + sqrt(30))\/(sqrt(36)\/(sqrt(24)\/sqrt(2)) + sqrt(3)))\/((sqrt(16)\/sqrt(18))\/sqrt(4)*1))**2.\nAnswer: -24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94\/265 - 12\/265. Which is the third smallest value? (a) -19 (b) 0.03 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - g**2 - 3 + 0 + 5*g.\nAnswer: -g**2 + 5*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o**5\/7 + 96*o**4 - 14106*o**3\/7 - 506*o**2\/7 + 1536*o - 504 = 0. What is o?\nAnswer: -1, 1\/2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6054*x + 6056*x - 2*d = -16, 6*d + 22 = -4*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68311909*b**4 - 37406405*b**2 wrt b?\nAnswer: -1639485816*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2 + 6*v - 561. Let p(y) = 2*y. Give p(h(o)).\nAnswer: 12*o**2 + 12*o - 1122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 151\/2*i**2 + 6*i**3 + 0*i - 10. Find the second derivative of z(y) wrt y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -336 - -365. Suppose -2*q = -4*q + r + z, 2*r = 3*q - 43. Solve q*f - 14*f = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30564589*t**3 + 266*t**2 + 2472*t + 2?\nAnswer: 183387534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 5, 0.11, 0.23, -2\/13?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(33\/(1782\/72))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 12. Let v be u(-7). Suppose 11 = 2*l - 1. Suppose -4*q - v = -5*g, -2*q - 5*g + 8 = -l. Solve 2*h - q = a, h = 2*a + 2*a + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1226 = -504*d + 500*d, -3*y + 738 = -3*d. Calculate the remainder when 1909 is divided by y.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8021422 rounded to the nearest ten thousand?\nAnswer: 8020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6720719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-41)*u*u**(-13\/3))**9 assuming u is positive.\nAnswer: u**(-399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8340449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6654178 take away 37?\nAnswer: -6654215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16367 - 50792\/3. Does d = -563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -33 + 0*r - 28*r**2 - 7\/3*r**3. What is the second derivative of g(o) wrt o?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 12*p. Suppose 3 = 4*t - 41. Let b be o(t). Round b to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3794.\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8586?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 102?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-5))*((v*v**(1\/8))\/v)\/v*v**(-1\/6)*v*v**3*v)**(-2\/33) assuming v is positive.\nAnswer: v**(-215\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 52\/6)\/((-1950)\/(-540) - 5)\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18428 and 0.0622.\nAnswer: 18428.0622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*p**3 - 216975*p - 59*p**3 + 216975*p.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 8)\/(35 + -33)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 10. Suppose 3*m = 4*m - g. Suppose -m*n = t - 61 - 0, 2*t = -3*n + 38. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84*z**2 + 6*z + 683.\nAnswer: 168*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 4:11 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.16 + 0.16. Let n = j + 13. Is n not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**3 - 29*t**2 + 11*t + 28. Let s be a(-6). Let n(g) = -12*g - 1. Let v be n(7). Which is bigger: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5112492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5.6. Suppose -5*k - 6*q + 95 = -q, -3*q + 79 = 4*k. Let p be k\/(-12) - (-153)\/102. What is the closest to p in -4, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 50*s = -53*s - 38, 3*s + 30 = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -13, -16, -17, -16, -13, -8?\n\"Answer: l**2 - 8*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l - 3. Let x(a) be the first derivative of -10*a**2 + 10*a - 109. Give -7*i(q) - 2*x(q).\nAnswer: -9*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1593*q**2 - 3107*q - 55698688 with respect to q.\nAnswer: -3186*q - 3107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 331381 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -8, -3, -117, 6.\nAnswer: -117, -8, -5, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from lzlllllllllzllz?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 652 - 654. Sort g, 21, -0.3 in descending order.\nAnswer: 21, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 0.03. Let n = s - 0.07. Which is the closest to -3? (a) 0.5 (b) 1\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804267 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2\/5 - 71065152*v\/5 - 71065149\/5 = 0.\nAnswer: -23688383, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 29247057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**7\/42 + i**3\/3 - 11*i**2. Differentiate c(x) wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 673701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 4*f**2 - f - 4. Let x be t(3). Factor 16*u**x - u - 14*u**2 - u.\nAnswer: 2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 4*g)*(-3*g + 2*g - g) - 3*g**2 + 6*g**2 + g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 0.2, -1\/2, -0.3, 12022, -1\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -1 (c) -8168 (d) -2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbbullbbublulbubll. What is prob of picking 1 b and 1 u?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 1096. Let h(f) = f**2. Determine u(h(o)).\nAnswer: 3*o**2 + 1096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 99*f - 6*f**2 + 20*f**2 - 10*f**2.\nAnswer: f**2 - 99*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 351 - 215. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1 + 8*h**2 - 5*h**3 + 18*h**3 + 12. Let f(o) = -3*o**3 - 2*o**2 - 3. What is -2*d(i) - 9*f(i)?\nAnswer: i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 298156769 to the power of 1\/2, to the nearest integer?\nAnswer: 17267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/17)\/(x*x\/(x\/x**(-3))*x))**(-11\/5) assuming x is positive.\nAnswer: x**(-33\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -45891 + -3*(-130)\/(-39) + (-4)\/(-2). What is c rounded to the nearest one thousand?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1627*z**3 + 20*z + 2.\nAnswer: -9762*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*m**2*n**3 + 2*m**2*n**2 + 2*m**2*n + 7*m*n wrt n.\nAnswer: 222*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.41, -1\/5, 0.12, 0?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/67 equal to -12.365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 3. Let d be u(-4). Let c be -41 + d + 1 + -1. Let q = 78 + c. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.46907 litres to millilitres.\nAnswer: 91469.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 68 = 2*z. What is the greatest common factor of 340 and z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111230 - -3?\nAnswer: 111233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 5*q**2 + 2. Let p = 13 + -6. Let o(i) = i**3 - i + 1. Let g(t) = -5*t**3 + 7*t**2 + 4*t - 7. Let j(k) = g(k) + 4*o(k). Give p*c(x) + 5*j(x).\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171)*2 - sqrt(171)))\/sqrt(9).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -5. Let c(b) = 5*b + 6. Suppose -5*t + 3*z - 12 = 0, -5*t = -3*t - 5*z + 20. Let r be -1*(2 - t) + 1. Let g(o) = -o - 1. Give f*g(q) + r*c(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1657 is divided by 196?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 2766*t - 91584.\nAnswer: 3*(t - 954)*(t + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99 - 0?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 112351935 to the power of 1\/3, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39807, 79610, 119413, 159216, 199019, 238822?\nAnswer: 278625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8040569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 t, and 1 a when four letters picked without replacement from zaaazxxtrrtrtxzz?\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 1. Let g = 72 - 78. Let d(y) = -1. Let k(n) = 2*n - 8. Let o(b) = 12*d(b) - k(b). Give g*v(t) + 2*o(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c + 169. Let h(n) = n + 2. Determine 5*h(z) - l(z).\nAnswer: z - 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 2. Let g be -12*(2\/(-6) - 4194\/216). Let u = g + -246. Determine c(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 2*u**2 + 2*u**2 + u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 2. Let z be f(-4). Suppose r = z*r. Let n(m) = r - 5*m + 3*m + 0. Give n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.6 - -1.5. Let y = j - -7. Which is the second smallest value? (a) y (b) 1\/2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2330 and 2330 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 6)*(-3*k + k + 0*k) - 3*k + 4*k - 4*k - 6*k + 0 + 0 + 2 + 2 - 3 + 2*k - 1)*(93*k**3 - 68*k**3 - 50*k**3).\nAnswer: 125*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w + 3098 = 2*f + 60*w, -3*f - 5*w + 4649 = 0. 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: Expand 4 - 4 + d**2 + (2*d - d + 0*d)*(-d - 4*d + 4*d) - 2*d**2 - 4 + 4 + 0*d**2 + d**2 + 3*d**2 + 3*d**2 + 6*d**2 - 5*d**2 + (7*d + 4*d + 22*d)*(4 - 4*d - 4).\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -0.39, 3\/5, -118, -2?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h - 3*w + 16, -5*w = 4*h - 36. Suppose 2*y = h*a + 10, 3*y - 8*y - 3 = 4*a. Put 2, -5, a, 1 in ascending order.\nAnswer: -5, a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.09 + 0.006. Let s = -0.05 - -0.15. Let t = s - d. What is t rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011100222202 (base 3) in base 9?\nAnswer: 1140882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 4:12 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17546?\nAnswer: 2, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -282242\/11 - -25678. Which is greater: 19 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -172\/173, -0.2, 1730, 2?\nAnswer: 1730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -698*((-14)\/161 - (-42)\/(-46)). Solve -k = -f - 698 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5521240 rounded to the nearest 100000?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4\/7 + 57*b**3\/7 - 195*b**2\/7 + 33*b - 90\/7 = 0. Calculate b.\nAnswer: 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 460178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42774, 42763, 42742, 42711, 42670?\nAnswer: 42619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3, o - 3 = 4*p - 2. Suppose -35 + p = -m. What is the highest common factor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iidd. Give prob of sequence idid.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8526 - -8263. Which is smaller: s or -0.9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3834 and -53\/702.\nAnswer: 49842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63572850 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -7*y + 129. Let o be (y\/(-15) + 1)*3. Let n(q) be the third derivative of -q**4\/2 - q**3\/6 + 2*q**2 + 5*q. Determine n(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74453 + -5807251\/78. Calculate the common denominator of (-7644)\/234*(-6)\/(-4) and d.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 2282814095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*l + 7492, 27*l - 22*l - 3746 = -2*a. List the prime factors of a.\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*l**5 + 6*l**2 - 22834*l.\nAnswer: -3380*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4204 + -3784. Calculate the smallest common multiple of o and 30.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-2)\/4 - 78\/(-52). Let s(z) = -2*z**3 + 2*z**2 - z. Give s(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Suppose -5473263 = -b*j + s, 4*j - 10946527 = -s + 2*s. Suppose 0 = -4*v - j - 1463368. Round v to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (74\/(-4))\/((-1)\/(-2)). Let b = q - -99. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146817735.\nAnswer: 3, 5, 9787849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1369301 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, 4.1, -1.9, -3, 0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:40 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -48.7. Let c = v + 5.6. Let t = c + 43.81. Round t to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267378 is divided by 19098.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 greater than 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let d(l) be the second derivative of 19*l**6\/360 + 11*l**3\/6 - 19*l. Let o(b) be the second derivative of d(b). Give g(o(x)).\nAnswer: 361*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5777 + 8344. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11050 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164110.\nAnswer: 2, 5, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 3*t - 12. Let w be n(-5). Let b(m) = -2*m + 5. Let x(h) = 1. Give w*x(i) + b(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.263 - 3.363. What is the second biggest value in y, -423, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26\/3087101398509 - 6758371907659051817\/12181257575915128704. Let o = -4\/30827 - r. Find the common denominator of 127\/96 and o.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 4*r = 12*i - 10, 0 = i + 4*r - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016087.99 hours in weeks?\nAnswer: 12000.52375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41248 and 7132988886.\nAnswer: 7133030134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -39371*g**2 - 42*g - 1435. Let w be p(-47). What is w rounded to the nearest 1000000?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112219432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 164517, 163600, 162081, 159966, 157261, 153972?\n\"Answer: f**3 - 307*f**2 - 3*f + 164826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:26 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33626 + 997835.\nAnswer: 1031461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/655 and 23\/393.\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 49. Solve -y = -0*f + 4*f - 5, y - 5 = x*f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 - 61. What is the remainder when m is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + c)*(c + 0*c + 3*c)*(-4*c**2 + c**2 + c**2).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23608, -45985, -68362, -90739, -113116?\n\"Answer: -22377*g - 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -121, -124, -131, -142?\n\"Answer: -2*j**2 + 3*j - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103202 + 11?\nAnswer: 103213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s + s - s + (1 - 5 + 2)*(2 + 4*s - 2) - 26 + 47 - 22 + 41*s to the form y + k*s and give k.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/3 - 5833*i\/3 - 1944 = 0. What is i?\nAnswer: -5832, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 1 - l + 0*l - 11*l - 9*l + 2*l + (0 + 2 - 3)*(1 + 2*l - 1).\nAnswer: -21*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 735\/((-14)\/21*2). Does w = -550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7298, -14330, -21362, -28394, -35426?\n\"Answer: -7032*y - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193237.\nAnswer: 1193237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwfufuhxhf. Give prob of picking 2 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*i = -35*i. Solve 3 = -j - i*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 469514336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**3 + 2*f**2 - 16*f + 1. Let c(t) = -t**3 - t - 1. Let o(y) = 2*c(y) + w(y). What is the second derivative of o(g) wrt g?\nAnswer: 48*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23\/18 - -3\/2. Let f = 11\/34 - -3\/17. Are v and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 + 15*w + 20. Calculate v(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -651 divided by -31\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3502, 3504, 3506?\n\"Answer: 2*h + 3500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 2 = 5*u. Suppose 0 = 5*m - 3 - 12. Suppose n - 6 = 6*q - 2*q, -3*q = -m*n + 9. Solve -2*y - 5*o + 18 = 0, -n*y + 3*o = u*o - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 956 - -1394. List the prime factors of i.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 15540606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1169466420?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 303.5676 to the nearest integer.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, w: 11, e: 1}. What is prob of picking 1 e and 1 w?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 9. Let l be v(-10). Let n be (-10 - (l - 1))\/(-2). Suppose -4*r + 3 + 3 = 2*g, g = n*r + 3. Solve g - 6 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563 - 587 = -6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 0 + 9*h - 2 - 3 + h**2. Let z be o(-7). What is the common denominator of z\/6*3\/(-6) and -47\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973190 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/4 + 101*v**3 + 3597*v**2\/2 - 3899*v + 7999\/4 = 0. Calculate v.\nAnswer: -19, 1, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2888 (c) 153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6010014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 43. Determine n(12).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 4, -75 in descending order.\nAnswer: 5, 4, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 + 0)*(-3 - 5 + 5) + 0 - 1 + 7 + 4 - 4 - 1 + (1 - 1 + 2)*(0 - 5 + 4))*(n - 2*n - n) in the form h*n + w and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 8:45 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1903605 + -30285.34?\nAnswer: -1933890.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = j - 4*q, -2*j - 2*q - 3*q - 1 = 0. Suppose -8 = 2*k - 4*d, -3*k - j - 26 = 2*d. Let i = k - -16. Solve g = f + f - i, -8 = -2*g - 4*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -4. Let z = -268 - -267. Let q(s) = -s**3 - s**2 + s + 1. Let x(t) = 2*t**3 - 3*t**2 - 3*t + 2. Let m(n) = z*q(n) - x(n). Determine m(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33733853 plus 16685?\nAnswer: -33717168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 85131*y + 2834. Let x be z(-14). What is x rounded to the nearest 10000?\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12095, -3, 106 in ascending order.\nAnswer: -12095, -3, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a + 0*a**4 + 0*a**3 + 0 - 31*a**2 + 13\/10*a**5. Let j(g) = 2*g. Calculate j(q(n)).\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s**(2\/5)*s))**(-47)*(((s\/(s*s**(4\/5)))\/s)\/s*((((s**4*s)\/s*s)\/s)\/s)\/s*s)\/((s**(-2\/7)*s)\/(s**(1\/5)\/s*s)) assuming s is positive.\nAnswer: s**(-5933\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6742826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4306289*t**2 + 2325952*t wrt t.\nAnswer: -8612578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10395*g + 5219*g + 5179*g + 1 - 1.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115222688 by 8.\nAnswer: -14402836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 - l**2. Let u be i(1). Let t be -1 + u\/(27\/24). Which is greater: t or -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -16 + (1 - -2 - 5). Let q = n - -13. Let c be 1 + 6\/q + 1. What is the closest to 0.2 in -1\/4, c, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1224623+-3\nAnswer: -1224626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325602171 - 5*m + 325602171.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 5*k**2 + 19. Let a be y(-5). Suppose -3*x - 10 = -2*z, -4*x - a = -3*z - 4. Solve u + c - 11 = 4*c, x = -2*c - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/5684 and -17\/4046399?\nAnswer: 113299172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206976 is divided by 6272.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-2 - (sqrt(180)\/sqrt(4))\/sqrt(9))**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2780093*s**4 + 2*s**2 + 4605756*s.\nAnswer: 33361116*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 7*p + 406. Let z = p + 210. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 + 28*m**2 - 45*m - 71. Calculate v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69\/515 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 20*u + 21. Let m be v(19). Let j be (m*2)\/(10\/(4 - -1)). Solve -3*t = -7*t + 5*g + 10, 4*g = -j*t + 18 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507 = 51*z + 37*z + 81*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3328 + -6330. Let f = 12097\/4 + d. Find the common denominator of f and 37\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjjd when four letters picked without replacement from {o: 1, d: 1, j: 3, h: 1, a: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21726198 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, -8945\/18, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268 and 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-8) + (-7)\/28. Let a be (f - (-2)\/(-2)) + 1. Suppose -a*l - h = -6*h + 13, 2*l + 4*h - 28 = 0. Solve -l*y - 15 - 5 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029311 to 4 dps.\nAnswer: 0.0293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -198, 1.\nAnswer: -198, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**8\/3360 + i**7\/1260 - i**4\/12 - 2*i**2. Let y(v) be the second derivative of s(v). Factor y(j).\nAnswer: -2*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q - 3*q**3 - q**3 + 5*q**3 - q**3 + (3*q**2 + 0*q**2 - 2*q**2)*(-3*q + q + 5*q) - 3*q**3 - 4*q**3 + 6*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831\/5*w**3 + 42\/5*w**4 + 546\/5*w - 24 - 207\/5*w**2 = 0 for w.\nAnswer: -1, 2\/7, 1\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 78, -149, -1362, -4245, -9482, -17757?\n\"Answer: -114*i**3 + 191*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 830*n**5 + 13*n - 26?\nAnswer: 16600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 13325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 21300 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10771 - -10693. Which is the third biggest value? (a) -3 (b) 4\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99.5 + 100. Let b = -5.5 + z. Let d = 0.046 - -3.954. Which is greater: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + f**2 - f**2 + (9*f**3 + 2*f**3 + 3*f**3)*(-f - 2 - 3*f + 5*f).\nAnswer: 13*f**4 - 28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11487219 is divided by 4544?\nAnswer: 4531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.7.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.028023 * 6.017\nAnswer: 0.168614391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 + 1 - 13*h - 2 - 8*h**2. Does 23 divide l(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/27*-51*(-13)\/((-117)\/(-27)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.36.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, w: 2, b: 5}. What is prob of picking 2 w, 1 b, and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2, 5*n + 9 = 2*d + 4*n. Suppose 6 = 2*q - d. Suppose -4 = q*i - 44. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520\/110*122\/(-793).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69848592 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*f**2*i**2 - 383*f*i**2 + 596*i**2 + 8 with respect to f.\nAnswer: -28*f*i**2 - 383*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = c + 8, -7 = 4*c - 2*c + 5*a. Suppose 3*o - c*m = 15, 4 = 3*o - 3*m - 11. Calculate the lowest common multiple of o and 2*4 - (-2 + 3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 22\/7, 0.7, 18, -6, -32 in increasing order.\nAnswer: -32, -6, 1\/2, 0.7, 22\/7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*b - 2*u, -5*b - u - 2*u = -53. Suppose 4*p + d + 22 = 0, 2*p - 6*p - 20 = 2*d. Let f = p + 13. Calculate the smallest common multiple of f and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s - 16 = 2*l, -4*s - 20 = 4*l. Let x(k) = -21*k**3 + 2*k**2 + 3*k + 1. Let z be x(s). Let q = -14 + z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -371 or -370?\nAnswer: -371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/105 + -44*20497\/(-1046892).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s - 3*f = 181, 5*f = -2*s - 80. Let z = s - -53. Sort -2, z, -3 in increasing order.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5610 by 2805.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 207*i**5 + 606*i**4 - 45*i**3 - 828*i**2 + 60*i = 0. Calculate i.\nAnswer: -2, 0, 5\/69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000237594 to six decimal places.\nAnswer: 0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-1 + 1 + d)*(2*d**2 + 8*d**2 + 49*d**2)*(-d**2 + 3*d**2 + d**2).\nAnswer: 354*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 106123860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 10*d**2 + 2*d + 7. Suppose -v + 26 = 4*r, -3*v = -8*v + r + 46. Let f be i(v). What is the units digit of (-1 + 4)*315\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15142536 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2. Let z(s) = 6*s. Let j(g) = 7*g. Let r(d) = 2*j(d) - 3*z(d). What is x(r(q))?\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:22 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 10:22 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-eight thirds of a minute?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 3*n + n)*(n + 6*n - 5*n)*(1 + 0 - 3)*(1 - 2*n**2 - 1 + 2*n**2 + 3*n - 3*n + (2*n + 7*n - 3*n)*(-3*n + 2*n - 10*n)).\nAnswer: 528*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.8025 to zero dps.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2 + 25544*t + 1040580 = 0. What is t?\nAnswer: -6345, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l - 1 + 79. Suppose -5 = -6*m + l. What is the greatest common factor of m and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + n**2 - 2. Let l(t) = t**3 - t**2 + 1. Calculate -c(r) - 3*l(r).\nAnswer: -r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**3 - 24*r**2 + 24*r**2.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -129*v. Let g(r) = -7*r. What is g(n(u))?\nAnswer: 903*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m - 9. Let h be w(2). Suppose 249 + 116 = h*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1764654, 1764659, 1764668, 1764681?\n\"Answer: 2*h**2 - h + 1764653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 25*y - 5. Let i(p) = 5*p - 1. Let f(n) = -4*g(n) + 22*i(n). Let m be f(5). What is the highest common divisor of m and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -21 + 7 + 15 + 10*w + 5. Let k(g) = -10*g - 4. Let x(t) = t. Let o(p) = k(p) + 3*x(p). Give 7*o(b) + 5*r(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (-12 - -17) + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from sksru.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/32*4)\/(5\/810).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18424*h - 22330556 + 22330556 as j + n*h and give n.\nAnswer: 18424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 367, 365, 363?\n\"Answer: -2*o + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204132 (base 5) to base 10.\nAnswer: 6792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 + 7*i**3 + 0*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614 = -2*m - 2*i, -6*i + 4*i = -3*m + 916. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i\/i**2))\/i*i)\/i**(7\/5))\/(i**5\/i*i*i**(1\/3))*((i*(i*i**(-7))\/i)\/i*i**0\/i)\/((i*i\/(i*i\/(i*i**(-4)\/i)))\/(i\/i**(-7\/5))) assuming i is positive.\nAnswer: i**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20602100 - 4?\nAnswer: 20602063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 + 72. Which is the biggest value? (a) 5 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/60, -870, 1\/12, 3\/4?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*3*1)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -21. Sort 0.2, 5, i in descending order.\nAnswer: 5, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.89 times 404?\nAnswer: -8035.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1244235 divided by 5\nAnswer: 248847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 13*d**2 + 6*d + 12. Let n be o(7). Solve n*y + 0*p - 5 = 2*p, 2*p = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 2*s**2 + s - 7. Let y be p(3). Let h(v) = 2*v**2 + 19*v + 16. Is h(y) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 5*x**2 + 5*x**2)*(860*x + 1 - 439*x + 941*x).\nAnswer: -2724*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r - 77455 - 305149 = 49290. List the prime factors of r.\nAnswer: 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 98, 99, 62, -25, -174, -397?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1012 - 668. Suppose -4*o = -z - 475 + 115, 0 = -4*o - 3*z + k. Does 30 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -659 - 13*u - 11*u + 40*u - 17*u + 263 to w*u + b and give b.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0.81299, 0.4?\nAnswer: 0.81299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 10 + (-15 - -6) + 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10243 (base 6) to base 8\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4468440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 114*x**2 + 145. Let h(q) = 113*q**2 - 109. Give -4*h(d) - 3*v(d).\nAnswer: -3*d**3 - 110*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 18902850 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 220262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-146)\/3)\/((-7)\/28*2). Let q = -97 + w. Let s be ((-2)\/(-9))\/((-10)\/6). What is the closest to q in s, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4397 to three decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5210*w**3*x**3 - 32*w**3 - 2*x**2 + 2*x + 6 wrt x.\nAnswer: 31260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.2. Let z = -2.02 - -0.02. Let j = -53 - -54. Which is the closest to j? (a) 0.1 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t. Let r(v) = 7*v**2 + 5*v. Suppose 0 = -3*p + 2 + 4. Let a be (-360)\/(-10)*p\/(-3). Let n = 19 + a. Calculate n*f(w) + r(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i**2 - 14*i**2 + 7*i**3)*(-20*i + 8*i + 6*i).\nAnswer: -42*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2466845 is divided by 123341?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 e, and 2 x when four letters picked without replacement from vexxvvxzeovo?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 10*t**2 - 18*t + 18. Calculate s(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50.092 - -0.092. Let w = -55 - q. What is the third biggest value in -1, w, 5, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 191\/9. Let k = -12 - 0. Let y be 0 - (-10)\/(50\/15). Sort k, y, v in decreasing order.\nAnswer: y, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 18100*t**2.\nAnswer: -5*t**2*(t + 3620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(6\/7))\/(d\/(d\/d**(10\/3))*d)*((d*(d\/d**(-2\/3))\/d*d)\/d)**(-38) assuming d is positive.\nAnswer: d**(-1382\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/385565 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-12)*3\/45?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2)\/((-2)\/(-26)). Suppose -2*b + 5 = -f. What is the highest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041835900?\nAnswer: 2, 5, 7, 1488337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3252*h + 3198*h - 6364*h.\nAnswer: 86*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 644, 5003, 16808, 39785, 77660, 134159, 213008, 317933?\n\"Answer: 621*g**3 - 3*g**2 + 21*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 789 - 788. Let k(r) = 126 + 7*r - 126. Calculate k(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8894952)\/(-120) + (-16)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:26 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 928 + 107. Suppose -3*i - f = -5*c, 6*c = -i + c - 365. Let w = -215 - i. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 - (4 + -10). Suppose 5*x = -0 - q. Are -1 and x nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -1, -3, 446, -7\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 14 + -4 + -4 + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 555\/1332*8\/(-20)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -7091.5.\nAnswer: -7091.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 14*b = 26*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 17 + 8 - 21*m + 23*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (19 - (3 - (3 - -3)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 10. Suppose o = 2*o - 3. Suppose o*f + 19 = 2*s, 0 = -y*s - f - f. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2. Let i(t) be the third derivative of 7*t**4\/4 - 31*t**2. Calculate i(o(c)).\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + i = 7. Let a be ((-6)\/15)\/(i\/(-20)). Suppose -5*r - 4 + 24 = 3*y, -a = -2*y - 2*r. Solve y = -5*k + k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.041 - 21.959. Let q = f + 21.83. Let k = q + 0.1644. Round k to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67\/2, -1, -0.3.\nAnswer: -1, -0.3, 67\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3638 rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p - 20. Let i be c(-18). Suppose 16 = y + i. Let s = -145\/4 - y. Which is greater: -7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 8.6. Let z = d + 1.400017. What is z rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, 23, -29, -201, 3.\nAnswer: -201, -29, -5, -2, 0, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 19*k**2 - 15*k - 5. List the prime factors of m(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1160294 + 364.\nAnswer: 1160658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1032235432 divided by 4.\nAnswer: -258058858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 - x**2 - x**2 - 3 as i*x + v + o*x**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 117?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/77?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 681589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1015541\/354618 - 2\/16119. Find the common denominator of -59\/110 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*o + 3*a**2 - 10776*a*o + 3795*o + 3 wrt a.\nAnswer: 4*a*o + 6*a - 10776*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4, -0.036914?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 5, 0, 4, 62785, -8.\nAnswer: -8, -7, -5, 0, 4, 5, 62785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8469161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 150, 225, 300, 375?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + 7 - 6 - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-13 - -32) + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/(-171))\/((-2)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3615133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*p - 16*p**3 - 16*p + 33*p wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 18279*f**2 - 297*f. Let j(p) = 247*p**2 - 4*p. Calculate 297*j(b) - 4*k(b).\nAnswer: 243*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 8917. Let k(g) = 36*g. What is l(k(z))?\nAnswer: -72*z - 8917","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - r**2 - 2*r + 1. Let i(w) = -5*w**3 + 5*w**2 + 8*w - 3. Let x(d) = -2*i(d) - 9*z(d). Calculate the remainder when x(2) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i + 1. Let w(y) = -9*y**2 - y + 1. What is w(l) - 3*z(l)?\nAnswer: -6*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 3)\/1 - -3. Solve 4*n = v*s - 20, 0*s - 15 = 5*n + 5*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + n - 74, 502*q + 22 = -509*q + 1010*q + 9*n for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176\/5 - -68\/15. Let y = 169\/6 + g. Which is the second smallest value? (a) 1\/2 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 29*a + 23. Let j be g(29). Let x = j - 5884. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3248*v**3 + 329*v**2 - 329*v**2.\nAnswer: 3248*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 8. Let p be w(-6). Let q(r) = -r**3 - r**2 + 2*r. Let y be q(p). Solve 0 = 2*c - 2*l - 8 - 10, 2*c + 4*l + 12 = y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12.047 and 251?\nAnswer: 238.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (5 - (13 + -2 + 2 - 16)) - 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25412 + 7276 = 4*m - 3*c, -4*c = 16. Suppose -4*t + m = -23831. What is t rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3656 is divided by 474.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/3, 0.04, -5 in ascending order.\nAnswer: -5, -3, -1\/3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((-4)\/(-2) + -3). Let x be q\/(-1)*0 - -7. Calculate the highest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.038?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + n**3 - n**4 + 2 + 247*n + 2*n**2 - 246*n to the form d*n**4 + x*n + r*n**2 + t*n**3 + a and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from yojyoyojyyyyyo?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/40*(5 - 426\/18)*14. What is the greatest common factor of 108 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3406 + 3423. Suppose -2*i + 0*b + 26 = -3*b, -4*b + 42 = 5*i. What is the remainder when j is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*w - 8, 0 = 2*q + 4*w - 5 + 1. Suppose 2 - 4*y**2 + 4*y**2 - 2*y - 4*y**q = 0. What is y?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.5 + 2.5. Let g be (-84)\/(-56)*(-8)\/15. Sort -1\/3, g, c in descending order.\nAnswer: c, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*y = 4*y - 13, v + y - 1 = 0. Suppose 2*a - 2*b = 298, 5*a - 721 = -2*b + b. Suppose p + v*p = a. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -43 in descending order.\nAnswer: 3, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149378259 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10946 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:04 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -2 - (12 + -15). What are the prime factors of 3\/6 - (-166)\/k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -46. Let r = c + 196. Suppose 0 = -2*n + r - 3. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 16, 25, 32, 37, 40, 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**7\/56 + 3*j**6\/40 + 9*j**5\/80 + j**4\/16 - 10*j + 2. Let b(i) be the first derivative of f(i). What is z in b(z) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -20.58842\nAnswer: -20.68842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l - 4. Let q be l\/(-6) - 12\/9. Let p be (-2)\/(-3)*-3 - 4. Is p greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51143016217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -4*y + 2*y + 18, 5*y = r + 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w = 3. Let l = -7 + 7. Is w smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 21 = 57. Let b be -2 + -3 - v\/9. Which is smaller: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.043 + 2.043. Let u = -3 + 3. Which is the second smallest value? (a) u (b) 6 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -228*n**2 - n + 0*n - 235*n**2 + 466*n**2 as m + x*n**2 + u*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 19. Suppose -24 + 19 = c. Let q be h(c). Which is bigger: -25 or q?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 85*s**2 + 4*s + 1. What are the prime factors of r(-2)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y + y - 25 + 24. Let t be s(2). Let j = t - 17. Does -5 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*x + 1162*x - 583*x.\nAnswer: 832*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4\/9, 1576.15, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*x - 58 = -x, -2*x - 64 = -4*u. Let k = -3 + 5. Let t be 5*8 + k + 0. Calculate the greatest common divisor of t and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 + d - 12. Let c(n) = -3*n**3 - 3*n**2 + 3*n - 36. Let s(q) = 6*c(q) - 17*f(q). Calculate s(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 + 9*h**2 + 4*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*f - 5*i, 2 - 4 = -4*f - 3*i. Suppose -f*y = -y - 335. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24511878429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 450043680 divided by -90008736?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246952403 is divided by 612?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - 0 - (0 + -3). Let z be ((-4)\/(-18))\/(d - 15). Let m = -0.178 - 0.222. What is the closest to m in 0.1, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15457 from -0.1752179106.\nAnswer: 15456.8247820894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5649*a + 1. Let h(l) = 50*l**2. Give i(h(b)).\nAnswer: -282450*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -237, -2737, -6931, -12819, -20401?\n\"Answer: -847*u**2 + 41*u + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3657.8 and -2875.\nAnswer: 10516175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5537970 a multiple of 5805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260488.\nAnswer: 2, 157561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c - 21 = -4*t + 21*c, 3*t - 3*c - 36 = 0. Let m = 1 + 3. Suppose 2*d = m*d - 196. What is the smallest common multiple of d and t?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 12) to base 16.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*1*1 + 4*(1*sqrt(468) - sqrt(468)) + sqrt(468))\/(-3*sqrt(324) + 5*sqrt(64)).\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 6*v + 4. Let d be p(-4). Put -1\/2, -0.1, d in descending order.\nAnswer: -0.1, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + u)*(-6*u - 12*u + 3*u) + (4*u**2 - u**2 - u**2)*(4 + 3 - 3) + (-4*u + 4*u + 2*u)*(-3*u - u + 6*u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpczpmrpptcz. Give prob of picking 2 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 506539, 2026383, 4559457, 8105761, 12665295, 18238059, 24824053?\n\"Answer: 506615*f**2 - f - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-8\/13)*h\/h**(-16)*(h*h**(2\/65)*h)\/h*h**(22\/7))**(-1\/33) assuming h is positive.\nAnswer: h**(-9809\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t. Let p be w(-4). Let m be (6\/p)\/((-10)\/(-8)). Let v = 227 + -227.2. What is the second smallest value in v, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -52 (b) 1\/5 (c) 0.57 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x - 13*x + 213 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15*(0 - (-2)\/(-5)). Let r = 10 + t. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -695433 by 17.\nAnswer: -695433\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/5)\/(28\/140). Sort 10, 9, m, 12 in descending order.\nAnswer: 12, 10, 9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90302909 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 c, and 1 w when four letters picked without replacement from ccllew.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2085 - 7?\nAnswer: 207a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16520, 72110, 164762, 294476?\nAnswer: 461252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**2 - 16*c - 8. Let h be l(3). Suppose -3*r + 8 = 3*k + 35, 5*k - 4*r = -90. Sort k, -5, h in ascending order.\nAnswer: k, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61058*p + 60936*p = -122 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4, 2, 4994.78, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 18 = 2*y, -6 = -0*c + 4*c + 2*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002925596081 rounded to 6 dps?\nAnswer: 0.002926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4 - 160*w**3 - 330*w**2 + 160*w + 328 = 0.\nAnswer: -2, -1, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -3\/6089, -98, 1.2?\nAnswer: -3\/6089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, i: 2}. Give prob of sequence iif.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28\/5, 2\/9, 5, -5, 0.2 in decreasing order.\nAnswer: 28\/5, 5, 2\/9, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 2*o + 3. Let w be q(0). Let v be 4\/(-2 + w)*2. Solve -5*n = -5, -y + n = 2*y - v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1735?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2 and (4\/(2*-2))\/((-10)\/(-67))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 176364700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4037\/5 + -807. Determine z, given that -b*z**2 + 4\/5*z - 2\/5*z**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7392 - 5.54. Round z to 2 dps.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 plus -0.275951004?\nAnswer: -150.275951004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3, -3, 9, -60?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**2 + 8*h**2 - 304*h + 63*h - 162*h in the form w*h**2 + o + x*h and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331849.952 times 0.5?\nAnswer: -1165924.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6557615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -167, -5, -3\/8?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 + 311. Let l(d) = -d**3 + 5*d**2 + 4*d + 26. Calculate the remainder when x is divided by l(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9*-3*4\/(-36). Let q(t) = -19*t + 7. Calculate q(v).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 640.1788m?\nAnswer: 640178800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289623 is divided by 1562.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x - 6654. Is (x\/4)\/((-1)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22565 is divided by 2355?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 205\/1261 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziiiifiizzoiziiii. Give prob of sequence fo.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501*i**3 - 297*i**3 + 129*i**3 - 3*i + i**2.\nAnswer: -669*i**3 + i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 5*m + 7. Let k be j(6). Let o = k - 6. Let b(s) = -s**3 - 6*s**2 - 5*s + 3. What is the units digit of b(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/2 - -3*1. Let k = l - -4. Sort -0.1, k, -0.3 in ascending order.\nAnswer: k, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/16 of a hour?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29763199 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**4\/3 - 8*k**3\/3 + 53*k. Factor l(c).\nAnswer: 4*c*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 - 1)*(-10 + 6 - 27)*(30*u + 5 - 5) in the form y*u + p and give y.\nAnswer: 3720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(29\/(29\/2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1658\/7 or 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-1404)\/208*10\/765.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 88*u**2 - 251*u - 533. Let a be v(97). What is the highest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*d - 9 = 2*s, -2*s + 5*d = 0. Let o = 1.2 - -1.8. Put o, 0.4, s in descending order.\nAnswer: s, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**9\/4536 + f**8\/840 - f**6\/135 + 3*f**3 - 5. Let q(s) be the third derivative of a(s). Let q(k) = 0. What is k?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151489083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 12 = -5*l. What are the prime factors of ((-54)\/(-8) + -6)\/(l\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-630) - ((-37870)\/735)\/(15\/(-7))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(3564) + (sqrt(3564)*-3)**2*5)*4.\nAnswer: 72*sqrt(11) + 641540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from iiigiigigigiiiigiig?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 219 = -29*h + 64*h, 0 = -2*h + 2*d - 18 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*h - 568*h - 4462 = 8054 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*f = -35, -2*t = -f - 3 - 7. Let v(k) = 9*k**2 + k - 1. Is v(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*g - 23 = 0, 0 = -2*d + 16*g - 20*g + 26 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - (-38)\/14. Suppose -4*p - 5*g + 1 - 3 = 0, 0 = 5*g + 10. Suppose p*c = k*c - 810. Round c to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1191*z**3 - 1600*z**3 - 1069*z**3 + 100*z**3.\nAnswer: -3760*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179053 + 331904. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*f + 23*f + 9*f)*(0 + 0 + f) + 2*f**2 + 0*f**2 - 3*f**2 - 10*f**2 - 3*f**2 + f**2.\nAnswer: 58*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -103447692842102\nAnswer: 103447692842098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 23039456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 1, x: 2, d: 2, l: 1, g: 2}. What is prob of sequence xx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 339, 733, 1173, 1659, 2191, 2769?\n\"Answer: 23*x**2 + 325*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 71*p + 16 + 72*p)*(-2 - 3 + 9).\nAnswer: 4*p + 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*f - 60, s + 5*f = -s - 5. Let p = s + -8. Suppose -p*l = 2*j, 2*j - l = j + 4. Solve -j*m + 4*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3*j - 520441, 0 = u - 2*j - 174542 + 70459. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1858028 divided by -23.\nAnswer: 1858028\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 20, -z - 1133 = -3*v + 1566. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 15*f**2 - 464*f - 27. What is s(31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 1 - 1 - 3. Let m be ((-3)\/(-2))\/(3\/(-6)). Let n(r) = r**2 + 4*r - 1. Let b be n(m). Give v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l - 14. Let w be a(-3). Suppose g = w + 47. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/196 and 125\/84?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*y = -5*c + 32, 4*y - 28 = -2*c. Let x be ((-19)\/(-9) + -2)*c. Factor x*k**3 + 2\/3*k - 4\/3*k**2 + 0.\nAnswer: 2*k*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -366*v**2 - 666.\nAnswer: -732*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61980 greater than 61982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 + 0.123518\nAnswer: 0.073518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 154482570 rounded to the nearest 1000000?\nAnswer: 154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (297*a**2 + 12452*a - 12452*a)*(2*a**2 + 0*a + 0*a)*(-21 - 27 + 7) as f + t*a**2 + z*a**3 + u*a + y*a**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-192) + (-113)\/280 + (-6)\/(-14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4335091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6818334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.806536mg?\nAnswer: 5806.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 285*l + 13. What is the thousands digit of f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8892?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-12) - (-9 - (48\/(-6) + -3)). What is the closest to -1\/3 in 5, 0, w, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -621427*f**2 + 1434314 wrt f.\nAnswer: -1242854*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2\/1737, -0.2?\nAnswer: 2\/1737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 1:19 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*q**4 + q**2 - 760*q**3 - 758*q**3 - 1 + 1515*q**3 + 21*q**4 in the form n + p*q + s*q**4 + b*q**2 + i*q**3 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -16 + 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. Let c(a) = a - 1. Let z(w) = -5*w + 58. Let u(s) = 3*c(s) + z(s). Let j be u(26). Sort m, j, -3, 1.\nAnswer: -3, 1, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2757 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i + 26. Let k be m(5). Let y be ((9\/(-6))\/3)\/(5 + k). Let c(j) = -j + 2. Let o be c(0). What is the biggest value in y, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 + 5*d + 8. Give o(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2563*g**3 - 1473*g**2.\nAnswer: 15378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -89, -256, -501, -830, -1249, -1764, -2381?\n\"Answer: -l**3 - 33*l**2 - 61*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37059909.\nAnswer: 3, 463, 26681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j - 6. Let x(w) = -2*w. Determine z(x(s)).\nAnswer: -10*s - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 77 = l, -5*w = -3*w - 2*l - 50. Let v = 30 + -21. Calculate the remainder when w is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3917\/7 + 43185\/77. What is the common denominator of 28\/493 and v?\nAnswer: 5423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164122 (base 8) in base 16?\nAnswer: -e852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 9\/((-27)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*n + 7, -n + 11 = -0*n - 3*t. Let v be (1\/n)\/(1\/2). Solve -5*q = 5*l + 15, 5*q = l - v - 14 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 49, -5, 4, 0.2, 4\/7, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602, -778, -994, -1256, -1570, -1942?\nAnswer: -2378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -13. Let m(c) = -c. Let r(i) = 6*i + 1. Let w(s) = -s**3 + 9*s**2 + 2*s - 13. Let j be w(9). Determine j*m(z) + v*r(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*i**3*k*q - 2*i**3 + i**2*k*q - i**2*k + 9*i*k - 7*i + 2*k - 136*q wrt q.\nAnswer: -20*i**3*k + i**2*k - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5601923 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 321 and 882.\nAnswer: 94374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*((-1 - 3) + 3). Calculate the least common multiple of 18 and (h\/14)\/(22\/2926).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 20 = 5*b, -4*x - 1 = -3*x + 2*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10446 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 - 98*z**2 + 0*z + 0*z + 99*z**2.\nAnswer: z**2 + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36639622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*v - 2 = -v, 4*v = 5*q - 18. Suppose -2*n + 4*j - q = -36, 4*n + 4*j = 8. Let c = -23\/3 + n. Sort c, -2\/9, -1\/8 in increasing order.\nAnswer: c, -2\/9, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (17 + (-8 - 3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 6*h**2 - 6*h + 2. Calculate the remainder when b(-6) is divided by 21\/(-28)*(-240)\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((198\/(-81))\/(-11))\/((-7)\/(-9))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -31*o - 3. Let a(p) = -p**2. What is g(a(r))?\nAnswer: 31*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.248829 * 0.2\nAnswer: -0.0497658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 79329 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3876 < 3876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0 - 7\/24*q**4 - 1\/2*q**2 + 1\/60*q**5 + 7\/6*q**3 - 4*q. Let k(a) be the first derivative of j(a). Calculate k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = 65*g - 390 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.930478 nanograms?\nAnswer: 0.009930478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1387893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(212 + 17987*n + 17978*n - 35973*n)*(0 + 0 + 1).\nAnswer: -8*n + 212","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 4*a - 3. Suppose 0 = -0*q - 4*q. Let x = q - -2. Suppose 8 + 8 = -4*t, x*t = 2*c. What is g(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**4 - 2*d**4 + d**4 + d - 2 to the form n*d**2 + j*d**4 + v + i*d**3 + m*d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**3 + 6*x**2 + x + 13. Let r(j) = -15*j**3 - 12*j**2 - j - 27. Let u(v) = -13*l(v) - 6*r(v). Give u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9.5 (b) 16 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8161621 divided by 3?\nAnswer: 8161621\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**5 + 976*q**3 + 3898*q wrt q?\nAnswer: 20*q**3 + 5856*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*m - 782 + 750 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-7 + -1) - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/6 - 28\/42. Suppose 0 = h*l - b - 4, 5*b = -4*l + 7*b + 2. Solve 0 = l*i - 6*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - -2. Let q(z) = 4*z**2 + 188*z - 2519. What is the smallest common multiple of g and q(-58)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + 59443?\nAnswer: 59477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/162 - (-92)\/360) + (-18)\/(-10). Determine u so that 0 + 1\/5*u**r + 4\/5*u = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -418062 * -129.7.\nAnswer: 54222641.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otoooooooooo. What is prob of sequence tot?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 739923815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -49. Let d be c*(-4)\/(-6) - 36\/108. Solve 0 = d*f - 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3243 is divided by 191.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10 = 2*i + 3*i, 3*s - 16 = 2*i. Suppose -4*t + k - 1 = 0, -k + 5*k = -t + s. Let n be 3 - 0 - (-32)\/(-10) - t. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 49 - 53 - 68*k**2)*(-3 + 3 + 2*k**3 + (k**2 + 4*k - 4*k)*(-1 + 1 - k) + 2*k**3 + 0*k**2 + 0*k**2 + 1 - 1 + k**3).\nAnswer: -272*k**5 - 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 7*w**2 + 10*w - 24. Let x be o(6). Suppose -4*v - 3*s = 2*s - 2063, -v + 4*s + 521 = x. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 1. Let r(i) be the first derivative of 0*i + 50 + 1\/3*i**3 + 0*i**2. Give r(u(z)).\nAnswer: 9*z**4 - 6*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (80\/15)\/(4\/966). Let z = p + -2438. Round z to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -288 + 412. Let t = 166 + c. Let l = t + -289.849. What is l rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -169. Let k = 131 + p. What is the smallest value in 1, 29, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:41 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -16. Suppose -3*r = -7*r - 4, -2*f = 4*r - 140. Suppose f = j*v + v. Solve 3 = -3*l - v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/(1\/((-4)\/6))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k**(-3))**(-22\/5) assuming k is positive.\nAnswer: k**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - a + 39. Calculate u(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2. Let b(v) = 55*v - 5*v + 29*v**2 - 27*v**2. What is p(b(a))?\nAnswer: 12*a**4 + 600*a**3 + 7500*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126444888*x**6 - 22*x**2 + 29*x - 3511?\nAnswer: 15173386560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b + 4. Let q be k(-3). Let t(y) = -y**3 - 8*y**2 + 4. Let d be t(q). What is w in -d*w**2 - 4*w - 7*w**3 + 3*w**3 + 3*w**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 3*r**2 - 5*r + 3. Let d be q(4). Let n = 13 - 15. Is d\/((-3)\/(-66)*n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434583788 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: Let i = 9 - 7. Suppose 2*s - 12 = -i*s. Suppose r + 7 = s, -24 = -4*n + 5*r. Which is smaller: n or -1\/41?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, e: 3, q: 3, x: 1, l: 3, z: 1}. Give prob of sequence egl.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5093, 4002, 2889, 1742, 549, -702, -2023, -3426?\nAnswer: -4923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297*-0.2.\nAnswer: -59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*b**3 + 236 + 235 + 87*b**3 - 711 + 240 + 81*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -8, 9, 32, 61, 96?\n\"Answer: 3*t**2 + 2*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -6858\nAnswer: 20574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*o = -14, 0*o = -5*g - o + 45. Let l = g - 7. What is the first derivative of 2*p**3 - 2 + 9 - l - p**3 wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/6 + 2245*f\/3 + 22525\/2.\nAnswer: -(f - 4505)*(f + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 8*j + 3*j**2 - 27855 + 28608 - 7*j as b + x*j**2 + q*j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 57445 divided by -5\nAnswer: -11489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 11*s + 34*s - 17*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207900 is divided by 1341?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5, -d + 153 = -3*u + 2*d. Let i = 349 - u. Is 45 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r**(2\/35)\/r)))*r**32)\/(r\/(r**7\/r)*r\/r**(-21\/2)) assuming r is positive.\nAnswer: r**(1921\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -5c?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10087*q**5 + q**2 - 104*q - 938 wrt q.\nAnswer: -201740*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-22) - (5 - (-552)\/(-66)). Solve 5*h = -3*m - 14 + 6, 3*h + c*m = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 6:11 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -19 + 4 + 14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -486 + 471, 3*k - 10 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -203939, -406975, -610011, -813047?\n\"Answer: -203036*o - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 at least as big as -24732\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.29 and -258657.\nAnswer: -75010.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24 - 15 - (64\/12 - 2\/(-3)). Suppose 23 = -3*i - j, 8*i + 44 = 3*i + 4*j. Let d be o + (-4 - i) + -3. Solve d - 2 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10147342, -20294689, -30442036?\nAnswer: -40589383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46835336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2119\/12 - 177. Calculate the common denominator of n and 94\/(-36) + 4 + -2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -2) + (-5)\/3. Let j = 8 + -5. What is the nearest to i in j, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**4 - 1334*r**2 + 2*r + 11862 wrt r.\nAnswer: -8*r**3 - 2668*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 14. Let l = 15 - 13. What are the prime factors of l\/6 + 76\/w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.3. Let f = -0.2 + g. Let n(i) = i**3 - 3*i**2 + 4*i - 3. Let x be n(2). Which is the third biggest value? (a) 4 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -11*a**3\/3 + 15*a**2\/2 + a - 61. Suppose -3*o - t - 2*t = -9, t = o - 9. Let x be i(o). Round x to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + -2. Let b = -30 - -10. Let h be b*(-2 - (-15)\/6). Is h not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 95203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6711774 is divided by 6711758.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 1\/12*t**4 + 4*t**2 + 2*t + 0 + 5\/6*t**3. List the prime factors of s(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-18)*1*443. Suppose -596 = -10*g + 6*g. Let a = t - g. What is the third biggest value in -1\/3, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29010 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -92, -191, -284, -371, -452, -527?\n\"Answer: 3*m**2 - 108*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 4. Let a be y(5). Let s = -0.6427 - 5.3573. Sort 0, a, s in increasing order.\nAnswer: s, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6265*c + 25791. Give f(4).\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -555.5 and -0.06?\nAnswer: 33.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**3 - o**2 - o. Let l be f(-1). Let n(v) = 7*v**2 - 3*v + 16. What is the hundreds digit of n(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/2 (b) 3 (c) -640676\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 14*q - 468. Let a = q + -54. Calculate the remainder when 5 is divided by ((-2 + a)\/2)\/(3\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*z**2 - 109*z**2 - 403*z**2 - 385*z**2 + (z + z - 3*z)*(-2*z + 0 + 0).\nAnswer: -850*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/120*(-2)\/(-1)*(-18)\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1505*g**4 - 59*g**3 + 611*g**2 - 4*g - 10 wrt g.\nAnswer: -36120*g - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 480755957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3520*n - 2 - 2*n**3 + 0*n**3 - 22*n**2 + 3518*n to b*n + h*n**3 + f + k*n**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by (166\/3)\/(-5 + (-220)\/(-15) + -9)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, l: 4, n: 2, q: 1, u: 3}. What is prob of sequence qp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 427056 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkgkkkkkkkkkk. What is prob of sequence kk?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150 - -182. Solve b*w = 37*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d**2 - 16*d**2 - 8*d**2 + 8*d**2. Let b(t) be the third derivative of 2*t**5\/15 - 2403*t**2. Determine b(z(i)).\nAnswer: 2048*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1016.1 + -260.1. Which is greater: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) -0.5 (c) -65.97 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 + 30*d**2 + 3*d - 106. Let g(u) = -u - 2. Let c(n) = -3*g(n) - z(n). Differentiate c(a) with respect to a.\nAnswer: -9*a**2 - 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10357, 9933, 9225, 8233, 6957, 5397, 3553?\nAnswer: 1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 5\/25)*-1*15. Let i = -5 + 6. Let s be i + (-1 - 1*-2). Solve 0 = 2*u + s*u + h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71912, -575285, -1941588, -4602287, -8988848, -15532737, -24665420?\nAnswer: -36818363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7368*c - 7378*c + 291710. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 465653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 54742.81 millennia?\nAnswer: 54742810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 3*z + 6, 0 = -2*g - 4*z - 18 + 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1026 divided by 513\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -222*x + 217*x - 37, 4*x - 5*t + 23 = 0. Let f(k) = -11*k**2 + 7*k. Let v(y) = -11*y**2 + 6*y. What is x*v(h) + 6*f(h)?\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**3 + 11*d - 597. Let p(j) = -j**2 - 4. Let k(c) = 3*c - 7. Let r be k(5). Give r*p(l) + 3*u(l).\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68719, -68722, -68725, -68728, -68731, -68734?\nAnswer: -68737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298227463 to the power of 1\/4, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 + 1422. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/2 - (-25 + 5). Let s = o + -10. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*k - 2*c, 10*k = 12*k + 5*c - 13. Solve k*s = -7*s + 77 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0*w**5 + 0*w**2 - 1\/8*w**4 + 1\/20*w**6 - 3*w + 0 + 0*w**3. Factor c(v).\nAnswer: 3*v**2*(v - 1)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + r + 6 = 0, 5*n + 10 = 8*n + 2*r. Let z(f) be the first derivative of 0*f - 1\/3*f**3 - f**n + 1. Suppose z(d) = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2202101?\nAnswer: -2202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2246 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27783412 to the nearest integer?\nAnswer: 5271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -4137367.346.\nAnswer: 4137362.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146585*n**4 - 139*n**3 - 210431*n**2 - 13 wrt n.\nAnswer: 3518040*n - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1440\/936 - 12\/(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -171485334.71 to the nearest 10000.\nAnswer: -171490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqr when three letters picked without replacement from rrrqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.04, 2\/9, 11, -4, -5, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.4 + 33. Let q = -1.7 + b. Let i = q + -6.90000165. What is i rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 0*h - 8\/27*h**3 - 1\/18*h**4 + 60 - 4\/9*h**2. Factor l(j).\nAnswer: -2*j*(j + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6316 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 4*b - 3*b)*(2*b - 3*b - 2*b)*(2 + 2 - 1).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(128) - sqrt(128)*3*-5)**2 + 3.\nAnswer: 32768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79649?\nAnswer: 23, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, 151, 2, -1, 0.2 in ascending order.\nAnswer: -1, -0.2, 0, 0.2, 2, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -8.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5 + 4. Let p be 621\/(-92)*(23 + g)\/(-1). Calculate the highest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(3\/(-18))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184\/3 + -1297\/21. Which is the fourth biggest value? (a) 0.1 (b) 1\/4 (c) o (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-490)\/(-6) - (-10)\/(-15). Let k = -241\/3 + x. What is the nearest to 1 in 2\/7, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**5\/2 + 1929*c**4 - 1852771*c**3 - 14982688*c**2 + 71031951*c\/2 - 18682445 = 0.\nAnswer: -10, 1, 1933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 829413.1 rounded to the nearest one thousand?\nAnswer: 829000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1489 + 2538. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r. Let u(w) = 1358*w**2 - 3. What is u(k(l))?\nAnswer: 135800*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -461\/9, -2\/13, -3.\nAnswer: -461\/9, -3, -2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4 - 755*c**3 - 1347871*c**2 - 2693473*c - 1346358 = 0. Calculate c.\nAnswer: -842, -1, 1599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 5) in base 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -81*y + 7*y + 75*y. Let w(o) = 10*o - 90. Determine w(m(h)).\nAnswer: 10*h - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**6\/360 + 3*i**4\/8 - 35*i**3\/6 + 21*i**2. Let w(g) be the first derivative of p(g). What is w(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/17 + 20*f**2\/17 - 46*f\/17 + 24\/17.\nAnswer: 2*(f - 1)**2*(f + 12)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(-25))*u)**(1\/77)*(u*u**(-28))**40)**(3\/8) assuming u is positive.\nAnswer: u**(-249549\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 152354979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*y + 577*y + 353*y - 1870 = -52*y. Factor 0 - 2\/11*n**5 + 0*n**3 - 6\/11*n**4 + 0*n + 8\/11*n**y.\nAnswer: -2*n**2*(n - 1)*(n + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*(v*(v*v**(2\/9))\/v*v*v*v)\/v)\/(v**4\/v*v*v**(-1\/7)))\/((v**4\/v*v)\/v*v*v**7)**(-3\/23) assuming v is positive.\nAnswer: v**(4057\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 17. Give s(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, 120 in decreasing order.\nAnswer: 120, 5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**5 - 1516*o**2 + 2780*o.\nAnswer: 40*o**3 - 3032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 7*q**2 + 4*q - 7. Calculate k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c - 46 = 0. What is the remainder when (0 + (-140)\/(-6))*(6817\/(-85) - -85) is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + r + 21 = 0, 0 = 9*v - 5*v + 5*r - 33 - 87 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 14. Let x be 2 + 4\/4*q. Let a be 12\/5 - x\/25. Solve 11 = a*m + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 3*r**5\/10 - r**4\/6 - r**3\/2 + 8*r**2 + 256*r + 2. What is the second derivative of d(m) wrt m?\nAnswer: 36*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 8*u**2 - 2*u - 9. Let d be a(-8). Let p(c) = 29 + 29 - 6*c - 48. Let g(q) = 4*q - 7. Give d*g(z) + 5*p(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2412742311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = 9*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/1554*7 - 51874\/2738\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 546?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1529190 is divided by 1562?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 737, 2943, 6617, 11759, 18369, 26447?\n\"Answer: 734*d**2 + 4*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 15031247*m + 0 + 0.\nAnswer: 15031247*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 9*o - 2 = 0. What is the closest to o in -4\/5, 2, 1\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 6*f = -2*f - 47, -2*b + 28 = -3*f. Let j = 7 - b. Let z(n) = 9*n + 11. Let h(q) = -14*q - 17. Let p(l) = -5*h(l) - 8*z(l). Give p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**4 - 11106*x**3 - 938724*x**2 - 20968920*x - 38271744 = 0.\nAnswer: -3616, -42, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8926 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/6 - (728\/(-42) + 17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 + (-42)\/(-9). Let o be ((-2)\/2)\/((-3)\/36). Suppose -4*s = -n + s + 3, 4*n - o = s. Do n and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/245*2\/(-3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.6 (b) -489 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by -9912?\nAnswer: 89\/9912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.0359 and -0.1?\nAnswer: 1.9359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 5*r - 13*r)*(22*r**2 + 32 + 12*r**2 - 32).\nAnswer: -374*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z - 13. Let t(m) = -m + 4. Let f(s) = -6*s + 14. Let w(j) = -f(j) + 4*t(j). Let g(x) = o(x) + 4*w(x). Let d(y) = 1. What is -4*d(c) - g(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 20*i. Let s(r) = -r**2 - r - 2. Let u(v) = 5*s(v) + y(v). Let d be u(-8). Suppose -m + 12 = 2*m. Put m, -1, d in ascending order.\nAnswer: d, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 31 = z + 26, -5*p + 129 = -2*z. Let f(l) = 6*l**2 + l. What is the remainder when (z\/(-28))\/((-3)\/(-98)*1) is divided by f(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 672*y + 4056. Let p be s(-6). Solve 0 = 3*g - 0*r - 4*r + p, 0 = 3*g + 5*r - 30 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16764\/(-1680) + 10)\/(9 + (-93)\/8)?\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5957891 litres in millilitres?\nAnswer: 595.7891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkju when four letters picked without replacement from {j: 1, k: 4, m: 2, h: 2, u: 3, z: 2}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5522 (b) 2\/9 (c) 1\/4 (d) -1\/4 (e) -0.4 (f) 0 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 + 5*w**2 - w - 2. Let s(g) = 5*g**3 - 11*g**2 + 2*g + 4. Let j(m) = 7*a(m) + 3*s(m). Suppose j(y) = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2 - 2*z - 4 + (-5 + 1 - 1)*(3*z - 3*z + z) - z + 2*z - 2*z.\nAnswer: -8*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*k = -273. Let z be 2*2\/(-16) + k\/(-4). Let c be z\/((12\/(-5) + 2)*5). Solve 0 = 5*q - 0*q - 4*w - 12, -4*q + 15 = -c*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -175, 0.5, 1\/37 in decreasing order.\nAnswer: 5, 0.5, 1\/37, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpzvzvvxwvxt. What is prob of picking 2 x and 2 v?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s + 6. Let u(d) be the second derivative of -d**3\/6 + d**2\/2 + 9*d. Give -i(h) + 4*u(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6327 and 21090.\nAnswer: 63270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g*g\/(g\/(g\/(g**4\/g))))\/g*g*g**(2\/35)*g**14*((g*(g\/((g\/(g\/(g*g*g**1)))\/g)*g)\/g*g*g)\/g)\/g assuming g is positive.\nAnswer: g**(492\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 41 = -4*d, 4*d = 7*o - 4*o + 53. What is the highest common divisor of d and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t = 5. Let h(n) = n**3 + 5*n**2 + 6. Let c be h(t). Let a = c - 5. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 368 = -8*g + 384, -3*g + 2*g = 4*y - 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200832 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/2)*w*w**(-11\/5)*(w**(-2\/17))**(-27) assuming w is positive.\nAnswer: w**(591\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9655742ml in litres?\nAnswer: 0.0009655742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 482\/5. What is the nearest to -1 in q, 2\/13, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + p - 7. Let n be (10 + -9)\/((-2)\/(-6)). Let q be w(n). Suppose -4*h = -12, q*v + 0*h = 5*h + 695. Is v a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 51801627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-36)*1248\/(-260)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3214*-191.\nAnswer: -252.3874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - p + 36 = 0, -5*u + p = -14 - 20. Let i(f) = -u*f + 1 + 2*f - 11 - 9*f. Calculate the remainder when 86 is divided by i(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h**2 + 3390*h + 20377. Calculate i(-6).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 107 + 8 = 0. Let l(q) be the third derivative of 0*q - 1\/60*q**g - 2\/3*q**3 + 0 - 1\/6*q**4 - 4*q**2. Find w, given that l(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4103739.\nAnswer: 3, 211, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 40 = 3*c, 65 = -10*r - 10*c + 13*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1779 divide 77602160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32915\/6 + -5509. Suppose t = -t - 6. Find the common denominator of z and (t\/(-15))\/((-18)\/(-1695)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m + 70*m + 2496 + 9186 = 0. Sort -11, m, 2\/17 in decreasing order.\nAnswer: 2\/17, -11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 9*o**2 + 13*o + 9. Let z be l(9). Suppose -4*j + 23 + 373 = 0. Let h = z - j. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 333696259 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20516?\nAnswer: 2, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 6*m - 2. Suppose 0 = -s + a - 2*a + m, 3*s = 2*a + 16. Suppose 1 + 1 = 2*l. Put s, l, 0.2 in decreasing order.\nAnswer: s, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let f(w) = 5*w + 2. Let i = -8 - -10. Let m be f(i). Calculate the greatest common divisor of m and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 + -64 + 6 + -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 41, 74, 109?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -429 + 432. Suppose -g - 2*g = -90. Calculate the greatest common divisor of g and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1727 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 1, u: 1, t: 5}. Give prob of picking 2 g and 1 t.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-345)\/(-575)*(-2840)\/(-24).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 112 = 5*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*x = -18902, -6*m + 14189 = -3*m + 4*x. Let h = m + 1216. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 - 70*u**4 + 2*u**3 + 70*u**2 = 0.\nAnswer: -35, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, and 1 e when three letters picked without replacement from {t: 7, n: 2, e: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.82, 4, 42, 1\/5, 128, 1\/4 in decreasing order.\nAnswer: 128, 42, 4, 1\/4, 1\/5, -0.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 69 (b) -1713\/7 (c) 0.3 (d) -4 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s*s\/(s*s\/(s*s\/s**6))*s**14*s*s\/s**6*s**(8\/5) assuming s is positive.\nAnswer: s**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 3\/2*n**2 - 1\/4*n**4 + 3*n - 10 + 0*n**3. What is b(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 350 + -2?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -21, -114, -4.\nAnswer: -114, -21, -4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 40 + 40 - h. What is p(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 41 = 4*p, 0*p - 105 = 3*b + 3*p. Let l = b - -109. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.845 rounded to one decimal place?\nAnswer: 196.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*d + 10348 - 10316, d = 5*f + 40 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 15*k**2 + 18*k - 35. Give q(14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let x be (-5)\/14*(-32)\/40. Let s(n) = n**3 + 10*n**2 + n + 9. Let d be s(-10). Which is the second biggest value? (a) d (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.538? (a) -3 (b) -118 (c) 4 (d) 0.6 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1608957957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2364, 18853, 63612, 150777, 294484?\n\"Answer: 2356*w**3 - w**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -597368 minus -15289199?\nAnswer: 14691831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1095292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41 + 5315*a**2 - 10781*a - 2627*a - 41 + 892*a wrt a?\nAnswer: 10630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h. Suppose -3*v + 4 + 2 = h. Factor 2*a - v*a**2 + 1 - 3*a**2 - 1 + 2*a**3.\nAnswer: a*(a - 2)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = -4*v, 0 = 2*v - 2*d - 3*d - 10. Sort -9, v, 6.\nAnswer: -9, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 634 (b) 0.5 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, 315, 7, -1\/4 in descending order.\nAnswer: 315, 7, -0.13, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.5 + 21. Let k = 2.5 + b. What is the second biggest value in k, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -259.1*4\nAnswer: -1036.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1725 and 2530.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -6. What is the nearest to 4\/13 in 5, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-5)*(-424)\/(-215180).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 990.0081ug?\nAnswer: 0.0000000009900081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 2*y + 4. Let k = 7 + -15. Let q be (5 - 8\/2)*0 + 4. Let h(f) = -q*f - 1749*f**2 + 1746*f**2 - 11 - 2*f. Determine k*z(b) - 3*h(b).\nAnswer: b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 181980205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 1247?\nAnswer: 13\/1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 542 and 5726501.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/416 and 20\/39.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.3, 1, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 - (5 + -4 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t**5\/8 + 375*t**4\/4 - 13383*t**3\/8 + 3639*t**2\/2 + 5403*t\/2 - 882 = 0 for t.\nAnswer: -49, -1, 2\/7, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -71*s**3 - 3*s**2 - s. Let z(k) = -107*k**3 - 5*k**2 - k. Calculate -8*b(i) + 5*z(i).\nAnswer: 33*i**3 - i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 36. Determine r(37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 607465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 0, -2*j + 4*j - 2*q = -20. Let t be 164\/10 - (-4)\/j. Suppose -22*c + 2 + 28 + 58 = 0. What is the highest common factor of t and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534278.\nAnswer: 2, 267139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 344800 and 5258200.\nAnswer: 21032800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvnnvnsnnsvn. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2136411 (base 7) to base 3.\nAnswer: -111021210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*1)\/(2\/8). Let a be 2\/t + (-5)\/(-10). Let q(s) = -s. Give q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddtx when four letters picked without replacement from {d: 4, o: 3, x: 6, t: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q**3 + 89*q**2 - 11*q + 8. Determine j(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-28)*(-41 + 2106\/36).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -78. Let a be y\/(-10) + 8\/(-20). Let z(n) = n**3 - 2*n**2 - 3*n + 1. Determine z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 549.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -6.5, 2\/19, 2\/3, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1072 + -851. What are the prime factors of w?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-11))\/(54\/(-46)) - 56\/(-756).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 5*n - q - 3, -109*n + 2*q - 341 = -1332 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 41235*l - 82490.\nAnswer: 5*(l - 8249)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/7))**(-8\/5)\/(z**(-1\/3))**(-1\/2))\/((z\/(z*z**(-7)))\/(z*z**(6\/11)))**(-1) assuming z is positive.\nAnswer: z**(7463\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*z - 228, z + 2*z = -d - 65. Let m = 64 + d. Sort m, 3, -2 in ascending order.\nAnswer: -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33567973.\nAnswer: 33567973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**7\/42 + 19*r**4\/12 + r**3\/6 + 677*r**2\/2 - 4081*r. Find the second derivative of f(i) wrt i.\nAnswer: -20*i**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 + d - 25689*d**3 + 25690*d**3 + d**2 + 593*d**4 to y*d**2 + a*d + c + j*d**4 + t*d**3 and give j.\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8172*-25.\nAnswer: -204300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 + 3*b - 4. Let y be a(6). Let o = y + -4. Calculate the lowest common multiple of o and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -106249*a**3 + 2*a**2 + 44*a - 1182828698 wrt a?\nAnswer: -318747*a**2 + 4*a + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238763 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16630 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: Let h be (2 - 3)*(-9)\/(-1). Let d(f) be the second derivative of -f**3\/6 + 9*f**2\/2 - 11*f. What is the tens digit of d(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1 + 3*c + 2*c. Let x be (-4)\/(-3) + 1\/(-3). Calculate q(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*q - 0*q - z, -5*q + z + 10 = 0. Suppose 0 = -4*y - 46 + 1718. Suppose y + 8027 = q*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -874 - -879. Let o be 2704\/20 + q + (-126)\/30. Calculate the highest common divisor of 204 and o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(24)\/sqrt(4)))**2 + sqrt(2) + (2 + sqrt(2) + 0)**2 + -3.\nAnswer: 5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/15*6\/2*(-1626)\/(-271)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 6:52 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 14 - -5) + 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*i - 1 + 198*i - 28*i + i - 3 + 3 + (-5 + 1 + 2)*(-2*i - 4*i + 7*i) + 5*i - 2*i - i to the form v + d*i and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:49 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101110 (base 2) in base 11?\nAnswer: -516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*s - 40. Calculate the remainder when 62 is divided by s\/2 - 2 - -14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490084354?\nAnswer: 2, 245042177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/1 + (-6)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:01 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 62. Which is the nearest to -1? (a) 2\/3 (b) x (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + u - 1. Let d be (65\/130)\/((-1)\/(2\/(-1))). Determine j(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -31, -16, -1, 14, 29?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 20 = -0. Let r(x) = 4*x - n*x + x - 3*x. Let d(z) = -z. Calculate r(d(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**3\/3 - 23*o**2\/2 + 2*o. Let x be h(12). Are x and -3\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2212232 (base 4) to base 9\nAnswer: -15565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:49 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.30205 rounded to one dp?\nAnswer: 280.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17056 is divided by 258?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13421973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 6*h + 6. Let l be r(-2). Suppose 4*q = -16, -144 + 401 = 3*v - l*q. Let g = v - 23. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13678 take away -288?\nAnswer: -13390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1367171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-1328 - 461*d + 1328).\nAnswer: -461*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*1*(-32)\/6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (2 + -1)) + -16 + 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - 13. Let l(p) = -p - 7. Let f(k) = 5*l(k) - 2*n(k). Suppose 40*o = 102 + 178. Let w be f(o). Let a(z) = -2*z - 2. Determine a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200019 times -1?\nAnswer: -200019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -571, -801, -995, -1153, -1275, -1361?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -100*a**5 + 7*a**4 - 343*a. Let z(g) = 67*g**5 - 5*g**4 + 229*g. Let y(k) = 5*i(k) + 7*z(k). What is the second derivative of y(v) wrt v?\nAnswer: -620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 - 65. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 10*o**2 + 31*o - 130. What is h(5)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 2*p - 1. Let n be j(1). Let t be -279*(-3)\/36 - 9\/(-12). Suppose -n*q = -t - 10. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, h: 3}. Give prob of picking 3 h.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7844 = -5242 - 6212. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677267 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1602 and -23\/16020.\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 - -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3)*(2 - 1 - 3)*(0 + 3*c**2 + 0) to the form a*c + g*c**2 + u and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/3 + 1\/3. Let f be (-6)\/3*(4 + -6) + 210\/(-55). Let y = 1.5 - -0.5. What is the closest to -5 in y, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*(-196)\/3*(684\/133)\/(-2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1773852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*a**3 - 167*a**2 wrt a.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 5:36 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.318384 + 275.020384. Let m = 274 - t. Round m to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -89.965.\nAnswer: -90.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 117*j - 116*j + 43, 2*j + 42*j + 2*m + 2426 = 0 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.455584 to one dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 35*x**2 + 3*x - 1. Suppose 0 = 3*g - 13 + 1. Is b(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 + -36 + -1)\/(-104) and 93\/88.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 e, and 1 b when three letters picked without replacement from ejjjxfbexjekeke?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*z - 22 = 5, -15 = 5*k + 4*z. Let a = 4 + k. Suppose 0*f + a*f = 15. Solve -3 - 3 = -f*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 + 2.01. Let o be 6\/(-4)*1*(-4)\/(-21). What is the smallest value in -7, c, o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 636 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + -78. Is 1\/(k\/(-1948))*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.676 + -0.076. Which is the biggest value? (a) -3\/5 (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 29. What is the highest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 466378 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -63.5229 and -4.9?\nAnswer: 58.6229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 103255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 2345?\nAnswer: 28140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/910*-4)\/((-105)\/490)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.1 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0 - 8. Let q = 9 - f. Suppose -4*n + q*n - 18 = 0. What is the highest common factor of 48 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 18*n - 5. Give g(-4).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - m - 1. Let d be g(-1). What is the third derivative of 8*x**6 - 3*x**6 - 3*x**6 + 2*x**d wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*a + 20 = 0, 28*x - 25*x + 8 = 4*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 17*f**2 + 4*f + 8. Let p(r) = -20*r**2 - 3*r - 8. Determine 2*d(y) + 3*p(y).\nAnswer: -26*y**2 - y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 2555?\nAnswer: -2555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002000110212 (base 3) in base 16?\nAnswer: -8b712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**2 + 3*d + 2. Let v(w) = 4*w**2 + 2*w + 1. Give -5*v(q) + 3*x(q).\nAnswer: q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -1. Let h(n) = -1. Let z(r) = -2*r - 2. Suppose -4*s = -2*j + 34, j - 562*s + 566*s + 31 = 0. Determine i*h(q) + j*z(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*i = -21, i = -124*q + 123*q + 6. Solve 3*h - 4*x = 8, -h + x - q + 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1354133 + -11?\nAnswer: -1354144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -141 + 0 - ((17 - -26) + -22 + -26).\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9170.16 millilitres?\nAnswer: 9.17016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -44.232 and -0.2472.\nAnswer: -44.4792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4 - 8213*u**3 - 16429*u**2 - 8215*u = 0. What is u?\nAnswer: -1, 0, 8215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in -0.4, -1, -2\/613?\nAnswer: -2\/613","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 4*z + 5174 = -23*j, 0 = -j + z + 2588. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 57*o - 47. Let d(c) = c**2 - 28*c + 23. Let f(g) = -9*d(g) - 4*n(g). Does 4 divide f(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*s**2 + 2*s - 1 - 107*s**2 - 123*s**2 - 12*s**2 as g*s + d + b*s**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -442*l + 703. Let q be t(-8). Calculate the greatest common divisor of 135 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 7*g - 9*g + 3*y, 0 = 3*g - 5*y - 87. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*h - h - 19, 5*y - 43 = h. Suppose -y*i = -4*i - 68. Suppose 0*o = o - i. Calculate the highest common factor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69779 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -56705 + -1272026599\nAnswer: -1272083304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d - 18 - 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/((-50)\/(-75)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83\/1399 or 1?\nAnswer: -83\/1399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25224695 - -9918695. What is s rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 10*o - 4. Let l = o - -5. Solve -5*x + 22 = -l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*b + 4*s - 119, 0 = 4*b + s - 104. Does 27 divide (b\/6)\/((-1)\/(-6)*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*x - 2*x + 7*x**2 - 26*x.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Suppose 0 = 12*s - 79 - 29. Solve -m + 5 = 3*x, 2*m + x + 4*x - s = v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 4, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4*-5106.24\nAnswer: -20424.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 142405*g - 427225. Determine o(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5836, 5881, 5998, 6223, 6592, 7141?\nAnswer: 7906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*g**4 + 212*g**2 - 213*g**2 - 233*g - 60*g in the form t + m*g**2 + q*g**4 + v*g + i*g**3 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-12))\/(1\/(-24)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 10:41 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*h - 125 = 4, -4*p = 4*h - 100. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 35*v**3 - 9*v**2 - 23*v - 2. Let b be z(-3). Let w = -956 - b. Factor 0*x**2 + 1\/5*x - 1\/5*x**w + 0.\nAnswer: -x*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - 0.04. Let s = -1.033 + 0.033. Which is the closest to s? (a) -0.5 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) - ((sqrt(75) + -2 - sqrt(75)) + sqrt(75))*5) + (sqrt(75) - (-4 + sqrt(75)*-1)))*6*3)**2.\nAnswer: -90720*sqrt(3) + 160704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p + 439 - 380 = -2245 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpsqsgxpsppspppqx. Give prob of sequence psq.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -15, -t + 10 = -2*m - 15. Let s(q) = q**2 - 21*q + 37. Let l be s(t). Which is greater: -6\/103 or l?\nAnswer: -6\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2. Let u(o) = o + 59724. What is u(i(p))?\nAnswer: p**2 + 59724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6194 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 450*i**2. Let y(a) = -6*a**2. Give d(y(f)).\nAnswer: 16200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26463 (base 10) to base 13.\nAnswer: c078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 9 = -16, -5*d - 25 = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111 (base 5) in base 12?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v - 11*v + 19844. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -1\/32 (c) 16 (d) 10\/207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 1\/23 (c) -1\/2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -c3?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(6 + 168\/(-18)))\/((-12)\/480).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138997\/22 - -6317. Find the common denominator of c and 59\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1300) + -3 + 0 - sqrt(1300))**2 + -5 - (3 + -2 + sqrt(1300))*-2)*-5.\nAnswer: -100*sqrt(13) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 - (-7 + (14 - -2))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1170056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(70))\/sqrt(10) + 5*(sqrt(7) + 5) - -5*sqrt(84)\/(-1*sqrt(768)).\nAnswer: 11*sqrt(7)\/8 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 14*w - 81. Let m(r) = -2*r**2 + 26*r - 162. Suppose 3*y = -5*j - 14, 2*y + 17*j = 16*j. Let i(x) = y*m(x) - 5*z(x). Factor i(d).\nAnswer: (d - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -20 - (-19 + 44) - (0 - 10)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4\/2 - 2*h**3 - 7*h**2\/2 + 5*h = 0.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 13. Let p(k) = k - 20. Let s(z) = 7*l(z) + 5*p(z). Let d be s(-6). Suppose 3*b + 3*i = 7*b - 66, d*b + 5*i = 64. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*l - 43, 0 = 2*l - 5*a + 24 + 17. Is l <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3861\/4004)\/((-102)\/(-119)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 745201 (base 10) to base 6.\nAnswer: 23550001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 14.2. Let o = 1 - u. Let b = o - -13.00000097. Round b to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.3, 0.05, -1\/25, -5, -17, -1 in decreasing order.\nAnswer: 0.05, -1\/25, -1, -5, -6.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -87628000 to the nearest 1000000.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5680.4 - -5564. Let a = -11094.57 + 11211.0173. Let v = k + a. What is v rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggmgggmggmg. What is prob of sequence gggm?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22710 is divided by 910?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 456 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/5*1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 166411?\nAnswer: -166408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 45, -4, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 4088817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 8:09 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9 - 10 - v - v. Let y be x(1). Is 3*y\/27*-129 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 60\/14)*49\/63*3. What is the closest to 0.01 in n, -2\/35, 0.02, -0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 26*w - 200. Let b(g) = -44*g + 198. Determine 2*b(n) + 3*l(n).\nAnswer: -10*n - 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 7*k**2 - 3*k - 4. Let x be 4\/(-36) - (-440)\/72. What is u(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -110, -108, -118, -146, -198, -280?\n\"Answer: -o**3 + 9*o - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/858 - (380\/(-910) + (10\/(-7) - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/2)*c*c)\/(c\/(c*c**(-23))*c))\/((c\/(c\/(c*(c**(2\/25)*c)\/c)))\/c**(-4)))**(17\/5) assuming c is positive.\nAnswer: c**(-22593\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*f**4 - 701*f**2 + 701*f**2 - f**4 - 2*f**2 + 2*f**2 + (-3 + 7 - 3)*(0 + 0 - f**4) + f**4 - f**4 - f**4.\nAnswer: 90*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 169624?\nAnswer: 169624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -762999, -1526021, -2289045, -3052071, -3815099, -4578129, -5341161?\n\"Answer: -s**2 - 763019*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(3)*-4)**2 + ((3*sqrt(147) + 5)**2 - sqrt(147)).\nAnswer: 203*sqrt(3) + 1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 2*b**2 + 2*b + 40. Let y(i) = 2*i**3 - 3*i**2 + 3*i + 39. Give 3*j(d) - 2*y(d).\nAnswer: -d**3 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - 2)*(-21)\/48 and -2 + 2 - 25\/(-48).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10188935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253 - (60 + 157) - (2 + -2 + 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8250 = -11*p + p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 311070859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5272417 times -4\nAnswer: -21089668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105*d - 1196 wrt d.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 4. Let j be ((-35)\/14)\/(1\/(-2)). Calculate v(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1455177 divided by -1455177.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4298915758?\nAnswer: 2, 7457, 288247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/2*(-392)\/38220*-130?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Suppose 0 = 4*f - x*z + 13, 2*z = f + f + 4. Suppose m = -1 + f. What is the smallest value in -4, -3\/4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 20*z + 2. Calculate the smallest common multiple of j(-10) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {r: 8, k: 2, i: 2, d: 1}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*r - 124*r - 1650. What are the prime factors of r?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*c = -3*c + 20, 2*z = -3*c + 2. Let o(w) = w**3 - 4*w + 0*w**2 - 3*w**2 - 4 + 3 + 2. Determine o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25200\/1960*(-84)\/(-24)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 531, 1821, 4333, 8475, 14655?\nAnswer: 23281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-192))\/((-2)\/8) - (-792)\/3872.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 149849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i + 2*i - 2*i)*(0 + 0 - 2*i) + i**2 + 1 - 1)*(-8 - 1 + 2).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7911751, 15823498, 23735239, 31646974, 39558703?\nAnswer: 47470426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16\/v*v*v\/(v*v\/(v\/(((v*v\/((v*v**33*v*v)\/v)*v*v)\/v)\/v)))*v)\/(((v\/(v\/(v*v\/v**(-8))))\/v)\/(v\/(v*v*v**(-3\/8)))) assuming v is positive.\nAnswer: v**(323\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100 + -1001?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33869 = -4*t - 5*r, 5*r = 9*t - 6*t - 25428. Does 43 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 277268337\nAnswer: -27726833.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + ((-4)\/(-2) - -2). Suppose -n*j = -4*x - 35, 2*x + 1 = -3. Which is smaller: -1\/3 or j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 16*o**2 + 36*o - 1. Let q be a(18). Is q bigger than 0.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)*l\/l**(6\/13))**(-13) assuming l is positive.\nAnswer: l**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let v = -2322 - -2312. Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2) - 2 - -3*(-238)\/(-84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/(b*b*b\/(b**1\/b)))\/(b\/(b*b\/b**(-1\/3)*b))**(-1) assuming b is positive.\nAnswer: b**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**4\/8 - 2*h**3\/3 + 7*h**2\/2 - 42. Let v(o) be the second derivative of s(o). Give v(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -526.69 and 5.\nAnswer: -2633.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 87 = -3. Let n(i) = 4*i. What is n(v)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*f - 4. Suppose f*d + 4 = 3*d. Let w(g) = -2*g**2 + g + 4. Let a(v) = 1. Let o(l) = d*a(l) - w(l). Find the second derivative of o(p) wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + 2*i**2 + i. Let b be d(-1). Suppose b*w - 16 + 7 = 0. Suppose 4*p + 5*n = 180, n + 36 = w*p - 2*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.27 + -1.27. Let w = -125\/3 + 377\/9. Let f = 13\/18 - w. Which is the closest to q? (a) f (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**7\/42 - 5*k**2 - 22. Let r(d) be the second derivative of c(d). Determine v so that r(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14159254046.99999771 + -14159254178. Let m = -131 - h. What is m rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0*t**3 - 49*t - 28*t**2 + 0 - 5\/3*t**6 + 0*t**5 + 0*t**4. What is the first derivative of j(h) wrt h?\nAnswer: -200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 27\/7, 4, 1\/3, 0.3, -5 in descending order.\nAnswer: 10, 4, 27\/7, 1\/3, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 68 (c) 1\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 8. Let p(r) = -7*r - 15. Let k(t) = 9*l(t) - 4*p(t). Let c(w) = -w + 12. Let y = -3 - -7. Let d(v) = y*c(v) + 3*k(v). Calculate d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i + 25*i - 7*i - 7*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -59*j + 13*j + 3 + 45*j. Let q be (-3 - 0)\/(4 + -3). Calculate m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 75*w - 54. Let k be o(26). Suppose 0 = -10*l + k + 154. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2133330986.257 + -1\nAnswer: -2133330987.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/15 and 45\/37.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 2943181.\nAnswer: 882954.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-7) + (-5490)\/(-63). Let z = a + -84. What is the tens digit of (-90)\/((-6*3\/12)\/z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 20*g**3 + 3*g**2 + 10*g - 25. Is n(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 854*u**3 + 91*u**2. Let m(l) = 57*l**3 + 6*l**2. Calculate -6*k(o) + 91*m(o).\nAnswer: 63*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v + 5. Let w(g) = -9*g + 10. Let m(b) = 5*n(b) - 2*w(b). Let p be 30\/9*(-9)\/(-6). Let t be m(p). Is t < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/6 - -4 - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -838236 divided by -24654?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 37 = 5*k + 5*w, -5*w + 11 = k. Suppose k*a = -8*a. Do a and 2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 60*u**2 - 874*u + 19. Give t(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**2 + 3*x**2 + x**2)*(1 - 1 + x**2 + (-x - x + 0*x)*(-4 + 4 + 2*x) - x + x + x**2) to k*x**2 + o + v*x**4 + r*x + j*x**3 and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 12 - 12 + 124*r + 40 to the form f*r + a and give f.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 270727323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 196 + 3*l - 196 + 5*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 1705 + 297. Calculate the highest common factor of 374 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {g: 1, e: 1, q: 2, i: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**5\/5 - 17*r**3\/3 + 82*r**2 + 14*r. Find the first derivative of m(s) wrt s.\nAnswer: -12*s**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 6. Let p be f(-5). Let g(w) = 3*w + w**3 + 0*w - p*w**2 - 2*w. Let r be g(4). Calculate the greatest common factor of 8 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4\/4 - 103*h**3\/2 + 14129*h**2\/4 - 80656*h = 0.\nAnswer: 0, 64, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46567.12 kilograms to nanograms.\nAnswer: 46567120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 553 and -4?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/193883 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(9\/(-1))\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + c - 929949*c**2 + 2*c + 929935*c**2 in the form r*c**3 + a + i*c**2 + l*c and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 4:58 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -71.4. Let k = -46688\/645 + 11\/215. Let t = k - -73. Which is the third smallest value? (a) -1 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 2*f + 88*q - 93*q, f - 53 = 4*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Let d be (-1)\/(j\/32*4). Let l(u) be the second derivative of u**5\/20 + u**4\/3 + u**3\/6 + 2*u**2 + 3*u. Calculate l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*1\/2*82\/(-123)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let s = -25 + 42. Let p(z) = z - 20. Let f be p(s). Which is greater: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 11*k**2 - 11*k + 14. Let x be c(10). What is the hundreds digit of ((-20851)\/(-58))\/(2\/x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 12 + 8. Let p(y) = -23*y**2 + 8*y + 8. Let w(n) = 15*n**2 - 5*n - 5. Determine q*p(r) + 8*w(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114 + -1256\/11. What is the second smallest value in 6\/5, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9281345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1076 - 1074 + i + 2150.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 570 - 568. Suppose -5*n = w*g - 4795, 5*n - 2*g - 2485 = 2290. List the prime factors of n.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z - 4. Let v(u) = -5*u - 4. Let g(x) = -3*s(x) + 4*v(x). Let y be g(-9). Suppose -180*j = -247*j + 1005. Is y smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 24*v - 36.\nAnswer: -3*(v + 2)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 627 = -5*p, 4*p + 0*c - c = 510. Let b = p - 72. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*f = 36, -45 = 3*w + 2*f - 1. Let u = w + 14. Let k(c) be the second derivative of -c**3\/6 - c**2\/2 - c. Give k(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2621*f**5 - 33*f**4 + 57*f**2 + 2*f - 29003752.\nAnswer: -52420*f**3 - 396*f**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 59. Let b(i) = 16 + 6*i + 21 + 16*i**2 - u*i. Is b(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1827.6336 minutes to days.\nAnswer: 1.26919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 f when four letters picked without replacement from {f: 9, h: 11}?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 26 = -0*g. Let l be 4\/(-10)*65\/g. Solve 4 = 6*i - l*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1 + (-2 - -4). Suppose 4 = -4*a - 4. Let t(w) = 3*w**2 + 4. Let g(b) = -685*b + 685*b + b**2 + 1. Calculate a*g(k) + c*t(k).\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 2*y. Let a(c) = -c**2 + 4*c + 2. What is a(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*x - 495*x - 13936 = -881*x for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5352)\/(-480))\/223 - 2202\/40.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12 + 370*p**3 - 1535*p**3 + 8.\nAnswer: -1165*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*j + 59 = 0, 3*x + 137 = -2*j + 274. Solve -x*i + 42 = -52 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-25 - -13 - (5 - 10))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.12 (c) -0.4 (d) 11 (e) -0.215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40765954614924949 + -6246115661165680369715731\/153218923. Let h = -3068\/15091 + n. Let d = h - 6\/143. Is d less than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 8. Suppose 0 = -5*z + 3*u - 35, -2*u + 3 = 2*z + 1. Let d be (84\/189)\/((-4)\/(-18)). Which is the nearest to m? (a) d (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 3*j**3 - 2*j**3 + (3 + j - 3)*(-j**2 + 0 + 0) - 2*j**3 - 2*j**3 - 5*j**3 + (4*j**3 + 0*j**3 - 5*j**3)*(-1 - 2 + 1) + 0*j**3 + 5*j**3 - 3*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 2. Let l be g(5). Let b(r) = -r - 2 + r**2 + r**3 + r**2 + l. Calculate b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643850382 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 53653780.\nAnswer: 3\/53653780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 + 49*h**2 + 16*h + 4. Let x be f(-16). Solve -12 = -3*r, -5*c = -r + x*r - 37 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2\/29, -43, 2 in decreasing order.\nAnswer: 2, 2\/29, -1\/5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - m + m)*(4*m - 2*m - 3*m) + 3*m**4 - 6*m**4 - 2*m**4 + (-m**4 - m**4 + 3*m**4)*(0 + 2 - 6).\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110 - -11011000000?\nAnswer: 11101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.047? (a) -0.1 (b) -2\/7 (c) -1\/2 (d) 128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 11 in decreasing order.\nAnswer: 11, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*k**3 - 170*k**2 wrt k?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135\/15*1\/3 - -31124 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**5\/2 + x**4\/12 - x**2\/2 - 5*x. Suppose 5*w + 6 = 1. List the prime factors of n(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (126\/(-8))\/(16\/64). Is k\/2 + ((-33)\/6)\/(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 3*w**3 - w**3)*((2 - 2 - 2*w)*(-35 + 66 - 66) + 6*w + 0*w - 2*w)*(-5*w + 3*w + 3*w)*(5 + 1 - 5).\nAnswer: 74*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose x - 3 + 1 = -2*s, 4*s = -b. Calculate the remainder when 19 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2973 (base 13) to base 6\nAnswer: -43453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29682? (a) -4 (b) 0.2 (c) -1.1 (d) 4\/7 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m + 3*m)*(2 - 6 + 2)*(2*m**4 - 13*m - 3*m**4 - 3*m).\nAnswer: 2*m**5 + 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 2*p + 0*p)*(-5 + 4 - 1)*(0 + 26 - 6 + (1 + 1 - 1)*(-2 - 1 + 5) + 4 - 2 - 3) to z + u*p and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(78) + (sqrt(78) - (sqrt(78) - sqrt(78)*-3)) + sqrt(78))*-2)\/(sqrt(42)\/(sqrt(7) - (sqrt(63) - sqrt(5103) - sqrt(63)))).\nAnswer: 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6623, 6624, 6625, 6626, 6627, 6628?\nAnswer: 6629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsq when three letters picked without replacement from bbqbs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 0*y**3 + 0*y**3)*(-2239 - 1939*y + 6708 - 2233 - 2236).\nAnswer: 5817*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + o**2 + 6*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -156*f + f**2 - 1\/3*f**4 + 0 - 1\/6*f**3. Give u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -190, -403, -760, -1261, -1906, -2695?\n\"Answer: -72*f**2 + 3*f - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -6, -1, -2\/1195, 13 in decreasing order.\nAnswer: 13, -2\/1195, -3\/5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317112?\nAnswer: 2, 3, 73, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922*i = 156*i - 1050*i - 141648 for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c + 1. Let s(f) = -f**2 - 342*f. Calculate u(s(x)).\nAnswer: 6*x**2 + 2052*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -12, -8, 2\/21.\nAnswer: -12, -8, 2\/21, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7930 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101664.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244 + 3375*t - 1088 + 242 + 366 + 236.\nAnswer: 3375*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 83?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -11*f**4\/12 - 107*f**3\/6 - f - 1. What is the second derivative of z(a) wrt a?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3 = -4*d + 8, -2 = 3*d + 2*j. Let l = 0 + d. Let h(k) = k**2 - k. Let o be h(l). Solve 2 = 2*x - 4*w + 2*w, o = -4*x + 3*w + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/29 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*3\/24*1. Let w = -0.4 + -1.6. What is the nearest to 0.1 in f, w, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**11*p**(2\/23) assuming p is positive.\nAnswer: p**(255\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-3 - 0) + (10 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 4*t**3 - 5*t**3 + t**2 - t**2 + t**3 + (1 + 2*t**3 - 1)*(-6 + 0 + 4) + t**3 - 4*t**3 + 2*t**3 + 5*t**3 - 2*t**3 + 19*t**3.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v + 34. Let b(s) = 4*s + 12. Let d(q) = 17*b(q) - 6*n(q). Let c(o) = -40*o**2 + 17*o. Determine c(d(u)).\nAnswer: -160*u**2 + 34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + (49 + -21 - (18 - 7))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 9:23 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.71 and -158?\nAnswer: -3746.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 0.071, 0.4, -4, 3\/7.\nAnswer: -4, 0.071, 0.4, 3\/7, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 10*k - 11. Give g(-10).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133300 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/194023023 and 143\/22826238?\nAnswer: 388046046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.017 + -0.017. Let m = -34.9 + i. Which is the nearest to m? (a) 1 (b) -1.9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from {u: 1, a: 3, q: 1, b: 6, x: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 3030.\nAnswer: 21210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 7*m - 25 = 0. Let a = -0.2 - -0.2. Let b = a - 0. What is the nearest to 0 in 4, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g - 2*g + 2*g + (1 - 1 - 1)*(1 - 1 + g) + (-g + 1 - 1)*(-3 + 1 - 1) - 43*g - 6 + 24*g + 21*g.\nAnswer: -g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 5*j + 0*j)*(0*j**2 + 4*j**2 - 3*j**2) + (4*j - 5*j + 0*j)*(-2*j**2 + 0*j**2 - 2*j**2).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gccubccccccbc. Give prob of picking 2 c.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3681 - 3585 = -228*a - 3827 + 3629 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:08 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*y - 3 = 16 + 315 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 5*b**2 + 2*b - 2. Let p be h(6). Let i = p + 44. What is the units digit of -9*5*(-24)\/i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 2*d - 7. Give q(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3584 and 25560?\nAnswer: 11450880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 4*w**2 + w - 7. Let l = -31 + 35. Let t be o(l). Sort 3, t, -9, 5 in decreasing order.\nAnswer: 5, 3, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -2, -1723, 83 in descending order.\nAnswer: 83, 1, -2, -3, -1723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqf when three letters picked without replacement from gfgqggq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 7*x**2 - 4*x + 6. Let j be t(-7). Let f = j + -32. Suppose 5*i + 2*c + 118 = 0, 2*i + i + f*c + 70 = 0. Do i and -25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 26 = 5*s, 4*s - 2*m - 20 = -0*m. Suppose -5*v = -v - s, -4*b + 35 = 3*v. Solve -5*k = f - b, -5*k + 6 - 1 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times 0.67?\nAnswer: -22.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -205, -204, -203?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 b, and 1 d when four letters picked without replacement from {d: 2, k: 2, t: 3, l: 4, b: 4, i: 3}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62095, -247837, -557223, -990253, -1546927, -2227245?\nAnswer: -3031207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 6*i. Let z(g) = 1084563*g. Calculate z(w(b)).\nAnswer: -2169126*b**2 + 6507378*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -161827, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2662790, -2662783, -2662774, -2662763, -2662750?\nAnswer: -2662735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 55 - 607 = 0. What is the first derivative of -66*k**3 - 14*k**3 - u*k**3 - 62 + 48*k**3 - 11 wrt k?\nAnswer: -648*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3 + 1 - 1 + 2*f. What is the units digit of r(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-15)\/(-16)) + (-1)\/3. Suppose 2*s = k*s + 18. Let w be ((-2)\/s)\/(1\/3). Which is the second biggest value? (a) w (b) -5 (c) -1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*q - 560 + 38, 0 = 4*q - 5*g - 1032. What is the highest common factor of 207 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006089227 rounded to 5 dps?\nAnswer: -0.00609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 >= -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 4*i - 4. Let r be c(3). What is the units digit of 902\/10 - r\/(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2. Let v(u) = -u + 1. Suppose 0 = 5*r - 4 - 1. Let w(o) = 4*o**2 + 6*o - 6. Let t(s) = r*w(s) + 6*v(s). Calculate x(t(z)).\nAnswer: 48*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(328\/16)*(176\/(-99))\/8?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + u = 2977, 4*u + 6970 = 5*c - 466. Suppose c = 4*o + 3*p, 0 = 4*o + 4*p - 1631 + 139. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -829692*0.3\nAnswer: -248907.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**4\/6 + 7*a**3\/2 + 11*a**2 + 2*a + 1. Let k be c(-10). Differentiate -40*f + 23 + 12*f - k*f wrt f.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 9:45 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ecxzegegecxeegg. Give prob of picking 2 x, 1 g, and 1 e.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 - -54. Let l = g + 73.6. Let k = -3 - 2. Which is the second smallest value? (a) -0.5 (b) l (c) 5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -528488.8 to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3189*t**2 - 926*t - 10. Let m(i) = -3185*i**2 - 929*i - 11. Let p(s) = 13*l(s) - 12*m(s). What is the second derivative of p(c) wrt c?\nAnswer: -6474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 smaller than 2216\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from {w: 1, c: 2, o: 5, i: 1, k: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -103453977720 to the nearest 1000000.\nAnswer: -103454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02377 + -0.12276. Round p to 3 decimal places.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - o - 1237614 = 0, 0*o - 2475242 = -2*z - 5*o. Suppose 3*i - q - 2512851 = 6*i, -9 = 3*q. Let v = z + i. What is v rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 + 11*q + 36)*(434*q + 4 - 434*q + 6*q**2) - 5*q**3 - 11*q + 11*q.\nAnswer: 61*q**3 + 44*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s = 105. Suppose 0 = -10*y + 116 + 34. Let h = s - y. Sort 3, h, -3 in increasing order.\nAnswer: -3, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let r(l) = 8*l + 5. Let b(d) = r(d) + 6*w(d). Calculate b(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u**3 - 46*u**2 + 4*u + 13. What is n(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**3 - 4*a**2 - a - 6. Let b(p) = p**3 - p**2 - 1. Let q(r) = 5*b(r) - t(r). Determine j, given that q(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 + 5. Let g = -304 + 311. What is the nearest to -0.4 in -1, g, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1707 less than -1713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94608?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/51? (a) 5 (b) 0.5 (c) -2\/7 (d) -325 (e) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 + 2*u + 3. Let w(d) be the second derivative of -13*d**4\/12 + 3*d**3\/2 + 13*d**2\/2 + 17*d. What is -18*l(o) + 4*w(o)?\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20596, -20392, -20192, -19996, -19804, -19616?\n\"Answer: -2*h**2 + 210*h - 20804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n + 33. Suppose c = n - 2. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -132, -173, -214, -255?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c + 86 = 3*l, 271 = 3*c - 4*l. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/54 and -1\/342566346.\nAnswer: 3083097114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -3, 16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -35*y**2 - 28*y - 28. Let o(m) = -m**2 - m - 1. Let k be ((-80)\/15)\/(-8)*1*6 - 5. Calculate k*b(r) + 28*o(r).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3*s + 45*d**3 - 112084*d**2*s - 2*d**2 - 1430*d - 7*s**2 + 2 wrt s?\nAnswer: 2*d**3 - 112084*d**2 - 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 + (-9)\/(-6)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -2*s. Let p be (s + 1)*(-1 + 2). Suppose -160 = z + p*u - 2*u, -u = -3*z - 494. Round z to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8095947.65 to the nearest 100000.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 5*x + 6. Let f be z(5). Let a = 732 - 739. Let u be 14\/(-49) - (0 + 16\/a). Calculate the highest common divisor of u and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -6 - (13 - -7) - -39.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 171*y + 2 - 1 + 1 - 174*y. Let a be 112\/(-64) - (-6)\/8. Let p be d(a). Solve 5*k - 26 = k + p*h, -5*h + 6 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**3\/5 - 49*z**2 + 1517. Find f such that u(f) = 0.\nAnswer: 0, 245\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 2:22 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*u**3 + 25*u**3 + 24*u**3 - u**4 - 2*u**2 + 2*u + 6 as z*u**4 + x*u + q*u**2 + k*u**3 + v and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1473791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 - -85. What is the second derivative of 28*d + 12*d**4 + 9*d**z + 0*d**3 + 0*d**3 wrt d?\nAnswer: 252*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*o + 8*o + 245, 3*t - 149 = 5*o. Let r be -4 - t\/(-30) - (-4 - -2). Which is the closest to 0.2? (a) 1 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-12))\/(6\/2). Let n = 21\/20 + y. Solve -2\/5 - 2\/5*c**4 + 0*c + n*c**2 + 0*c**3 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8+-902923\nAnswer: -902931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459200 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 3. Calculate z(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3536713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -1) + (3 + -2 - (-3 + -34 + 23)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*d - 28*d**3 + 81*d + 16*d**3 - 40*d**3 to i + b*d**3 + q*d**2 + l*d and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*u)*(-3*u - 3 + 3)*(-18 - 19 - 16).\nAnswer: -318*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15318)\/(-33) + 3\/66*-4. Let b = q + -328. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 + 18*s**2 + 162 - s**2 + 14.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349.1 - 349. What is the third smallest value in a, 0, -4\/11, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*k + 25*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -c - c. Let n = -92 + 97. What is the second derivative of j**n + 0*j + 2*j + c*j**5 + 0*j**5 wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-589)\/(-133))\/(-31))\/(8\/(-28)*-3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o - 2. Let l(u) = -18*u + 70. Let h be l(4). Let r(t) = 110*t + 45. Determine h*r(p) - 45*d(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93205.\nAnswer: 5, 7, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11755 is divided by 67.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 69*q - 10 - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 20. Sort 1, -3, q in decreasing order.\nAnswer: q, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5)*(4 - 4 - 2*s) - s - 5*s + 4*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmiiimm. Give prob of sequence mmm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 18 + 11*p + 19 - 35)*(30*p - 1146 + 1146 + 3*p + 3*p - 5*p + (0*p + 2*p + 0*p)*(-1 + 1 - 1) + 0*p - p - p).\nAnswer: 297*p**2 + 54*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, 369 in ascending order.\nAnswer: 5, 17, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 86512.4 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0\/l)**48)**(-5\/2)*l**8\/(((l**3\/l)\/l)\/l)*l**(-2\/27)\/(l\/(l*l*l\/(l*l**(-1\/6)*l))) assuming l is positive.\nAnswer: l**(437\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 4*g**2 + 20)*(-21888 - 99*g**2 + 43768 - 21885).\nAnswer: 396*g**4 + 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -142, -402, -792, -1282, -1842, -2442, -3052?\n\"Answer: 5*a**3 - 95*a**2 - 10*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o + 4*i - 12 = 0, -5*i + 5 = 0. Let u be (-682)\/55 - o\/10. Let v = u - -31. What is the remainder when 72 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8891191\/88374 + -3320\/33. What is the common denominator of -67\/5356 and m?\nAnswer: 5356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 1:52 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttppttpttptpttttpt.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34806900 by -9420.\nAnswer: -3695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 975*k + 17810. Calculate s(19).\nAnswer: -1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/6 - 4*q. Let x(u) = 2*u**2. Give m(x(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/((-21)\/56)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*x = 0, 2398 = -2*h - 2*x. Let q = 2226 + h. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus -67032?\nAnswer: -67031.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65636 + 131092 - 65606)*(0*l**3 + 3*l**3 - l**3).\nAnswer: -300*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1902209086623 + 0?\nAnswer: -1902209086623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1424 and 91\/8.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 206931025129 less than 26?\nAnswer: -206931025103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -375708*q**5 + 50*q + 3712 wrt q?\nAnswer: -7514160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27366, -27316, -27266, -27216, -27166, -27116?\nAnswer: -27066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*g + 16 = 0, 3*b - 5*g = -3*g + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96\/946195 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 410?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o*o*(o*o**10\/o*o)\/o))\/o*o*o)\/o*o*o**(-2\/15)*(o*o*o**(2\/15))\/(o*o**(-8)))**(1\/13) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -990 - -1098. Let z(p) = 11*p + 6. Let k be z(6). Calculate the highest common factor of k and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -488 divided by -4\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -26726*l - 400863. What is m(-15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-3)\/6*-2. Suppose 3*z - 7 = p, 2*z + 2*p - 18 = -s*z. Let c be 0 + 3 + -4 + -1*z. What is the nearest to c in -1, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 1 = 7*y. Let i be 0 - (y - (-3 - -7)). Suppose 3*a + 22200000 = 3*s, -i*a + a = -2*s + 7400000. Round a to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 708 + 3*m - 997 + 1654 + 984 + 1585 to n + v*m and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*q + 4*q - 4*q - 167*q - 410*q + 232*q + (0 - 3 + 5)*(-3 + 3 - 2*q) - 2 + 2 + q in the form s*q + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.221 - 47.39. Let x = z - -0.069. Round x to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14704028498091*d**2 + d**3 - 14704028498091*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + i - 4*i - 8 = 0, 0 = 4*f - 5*i - 53. Let q be (-2)\/f + 10\/(-14). Let u be q\/3*0 - 30. What is u rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = 3*s - 24, -3*s = -4*k - 8 - 6 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 490*m**2 - m - 13 - 491*m**2 to the form h*m**2 + g*m + x and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*w + 65*w**3 - 1 + 37*w - 31*w**3 - 32*w**3 in the form l*w + y*w**3 + m + v*w**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:36 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -24, -28, -26, -18, -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3062 (b) -2 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16577 + 16620.245. Let d = -43 + x. What is d rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlmx when four letters picked without replacement from {m: 1, t: 1, p: 1, l: 1, x: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143315\/6072 - 548\/23. Calculate the common denominator of y and 49\/8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/12 - n**2\/2 + 4*n - 41. Give d(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 20 = -3*i + i, 2*c + 28 = 3*i. What is the remainder when 83 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.03, -1\/4, 19?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -5 (c) -2 (d) 2\/3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 283 + -282. Calculate the remainder when 21 is divided by 0\/(-6) - (x + 17*-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - 3 + 3)*(-2 - 4 + 3) - 2 - 4*h + 2 + 3*h + 1 - 1 - 5 - 33*h - 2 + 32*h)*(h - 6*h + 3 + 3*h).\nAnswer: 10*h**2 - h - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:10 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 0.58796.\nAnswer: 0.58796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + f - 2. Let l be r(-3). Let k(p) be the second derivative of -p**5\/20 + p**4\/6 - 2*p + 11. Give k(l).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 10:57 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5062, -4762, -4462, -4162?\nAnswer: -3862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 101*k**3 + 6*k - 8. Let w(b) = -302*b**3 - 17*b + 22. Give 11*l(m) + 4*w(m).\nAnswer: -97*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q + 192 = 3. Let f = 14 + -3. Let h = q + f. Which is the third smallest value? (a) h (b) -3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -216626 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 235*h + 173 + 527 - 37 + 512 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h + 4*h - 8*h + 2*h**5 + (2*h**3 - 2*h**3 - h**3)*(-2*h**2 + 2*h**2 - h**2).\nAnswer: 3*h**5 - 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -4 (b) 0.2 (c) -1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -23?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 3*d + 2. Let n be m(-1). Suppose -n*y + 203 + 721 = 0. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -19*l - 2. Let d be h(-1). Let w = d - -80. Suppose w + 212 = 3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 1 + 340*y - 352*y + 2)*(3*y + 0*y + 5*y) as s*y + a + z*y**3 + q*y**2 and give q.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*sqrt(396))**2 - (sqrt(396) - sqrt(396)*4*1)) + (sqrt(88) - 5*1*sqrt(88))\/(sqrt(968) + (sqrt(968) - sqrt(968)*3) + sqrt(8)).\nAnswer: 92*sqrt(11)\/5 + 31680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1611 by -1611.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 91 = -311. Let l(b) = 45*b + h*b + 33*b - 131*b. Let a(v) = -3*v**2. Calculate a(l(k)).\nAnswer: -243*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 5 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 9 + 21)*(3*x - 3*x + 2*x**4).\nAnswer: 144*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 - 54*t + 9191. What is l(-65)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2. Let h(n) = 5*n**2 - 3*n. Let r(z) = -4*z**2 + 2*z. Let v(j) = -2*h(j) - 3*r(j). What is y(v(g))?\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55\/2 + -377\/14. Let k = 78 - 5305\/68. Let m = k + -101\/68. Sort -0.3, m, z in ascending order.\nAnswer: m, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41391 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-2 - -3 - -4). Suppose -5*w - 65 = -r - 4*r, n*r - w - 61 = 0. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - -1 - (159 - 126)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + -2)*-1 - sqrt(5808)*2)**2.\nAnswer: -368*sqrt(3) + 25396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 7*m - 45 = 0. Let h(o) = 4*o**2 + 8*o - 11. What is the hundreds digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1895013278?\nAnswer: 2, 73, 12979543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-7 - -16 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1449 and 14490.\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.014 + 0.002. Let t = 2.932 + p. Let a = t + 0.08. What is the closest to 2\/3 in a, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 5*l - 45. Let u(a) = -l*a + 7 - 3 - 4. Let j(c) = -4*c**2 - 7. Let b(o) = 2*o**2 + 4. Let g(v) = 7*b(v) + 4*j(v). Give u(g(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/27 (b) 0.4 (c) -752281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**6\/120 - b**5\/40 - b**3\/3 + 2. Let g(p) be the third derivative of q(p). What is the second derivative of g(v) wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*i**5 + 4)*(3 - 7 + 3) + (4 - i**2 - 4)*(527*i**3 + 253487*i**2 - 253487*i**2).\nAnswer: -525*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.046 - -0.2241\nAnswer: 0.2701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + 5 + (-9 - -10) - 12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 330291499 and 0.608?\nAnswer: 330291498.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 5*j - 3. Let z be n(5). Is 28 a factor of z\/(42\/(-608)) - 12\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72) - sqrt(72))**2*-4 + 5 + (2*sqrt(72))**2 + (sqrt(72)*-2)**2 + 5 + -4*(-1 + sqrt(72))**2.\nAnswer: 48*sqrt(2) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 1096959879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 3, -1, 5 in ascending order.\nAnswer: -3, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4596 + -3925. What is the highest common divisor of n and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -0*n + 5*n. Let a(d) = d + 7. Let b be a(n). Let p = 6 + b. Calculate the remainder when 16 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*s**4 - 2*s**2 - 8843*s**3 + s + 4420*s**3 + 4421*s**3 to the form m*s**4 + c*s + u*s**3 + a*s**2 + q and give m.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 47730190.293 and 17.\nAnswer: 47730207.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 179 = 40. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 2. Let z = c - -6. Suppose 4*d = 4*q - 108, 2*q + z*d - 10 - 19 = 0. What is the greatest common factor of 154 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 3*b - 3. Let a(m) = 2*m - 5. Suppose 2*t + 0*t = 10. Let k be a(t). Suppose -5*z + 4*c = 32, -k*z + 0*z - 17 = c. What is p(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 92 + -29 + (6 + -8 - (-10 - -1))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 4*f**2 + 2*f - 6. Let o(h) = -h**2 - h + 1. Calculate 4*o(w) + r(w).\nAnswer: -w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**2 - 1. Let w(q) = q**3 - 11*q. Suppose 2*a = -4*r - 14, -3*a - 43 = -7*r + 2*r. Determine a*u(x) + 2*w(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52255 is divided by 8708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.038 - -0.038. Let q = -10 - -9.9. What is the second biggest value in q, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:58 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**4 + 59207*r**3 + 1858414 wrt r.\nAnswer: -4*r**3 + 177621*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 21 + 35 + 3 - h - h + h.\nAnswer: -h + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 13256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/9*-3*6. Let s(m) = 4*m + 10. Let d(j) = j - 1. Let u(w) = a*d(w) + s(w). Does 16 divide u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 34\/24769385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 354 - 448. Let o = -92 - p. Solve o*g + 8 = -6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 11*t + 4. Let m(f) = -f**2 - 11*f + 3. Let i(d) = -3*m(d) + 4*n(d). Give i(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j - 2*j**4 + 7*j + 0*j**4 + 2 - 2 + j**4 + (-j**3 + j**3 + 2*j**3)*(-3*j + 4*j - 2*j) - 2*j**4 + 3*j**4 - 2*j**4 - j**4 - 4*j**4 + 3*j**4.\nAnswer: -6*j**4 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 8*b + 10. Let h be p(-6). Let g = h + -20. Let t = 132 - g. Calculate the highest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 177, 200, 223, 246, 269, 292?\n\"Answer: 23*i + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - (-90 + 130) - (-2 + 2 + 33)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4015893 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/(-168) + -2 + 6\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/13)*o*o**(-2))\/((o*o**(2\/15)\/o)\/o**(-7)))**38 assuming o is positive.\nAnswer: o**(-60838\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -97. Let z = -43 + 66. Let m = u - z. Which is the third biggest value? (a) m (b) -0.4 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -406, -400, -396, -394?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/9 (b) -3\/178 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -1. Let b(h) be the first derivative of h**4\/4 + 5*h**3\/3 + 5*h**2\/2 + 2*h + 10. Calculate b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l = 42*l + 102. Differentiate 11*f**2 + 2430*f + l - 2430*f with respect to f.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by -5?\nAnswer: -212\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h**3 + 18*h**2 + 1568*h + 5. Let l(m) = 3*m**3 - 7*m**2 - 784*m - 2. Calculate -5*l(d) - 2*p(d).\nAnswer: d**3 - d**2 + 784*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 - 28*f - 4. Calculate the remainder when (-81)\/2*4\/(-3) is divided by a(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14780 != 14793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 459*l + 6. Calculate j(1).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k - 6. Let f be m(-2). Let u = f - 16. Suppose -2*w + 4*a = -u*a - 1038, 5*w + 5*a - 2580 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18261388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -35*f + 39. Calculate the remainder when n(-6) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6797 + 6896 = -11*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 56. Let m be w(21). Which is the third smallest value? (a) m (b) 2 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 1a973?\nAnswer: -1a975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12751 - 12748. Factor 15\/4*k**4 + 0*k**2 - 9\/2*k**y + 0 + 0*k + 3\/4*k**5.\nAnswer: 3*k**3*(k - 1)*(k + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(16 + -135*(-286)\/(-2418))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/7)\/(5172\/(-15085))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 3*i - 2*i)*(2*i + 2*i - i) + (5 - 4 - 13*i + 16*i)*(-4*i - i + i) + i**2 + i**2 + i**2.\nAnswer: -6*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, t: 4, g: 5, p: 6, b: 1}. Give prob of sequence pggb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 10 = 2. Let j(h) = 39*h + 64. Let a(l) = -10*l - 16. Let y(b) = k*j(b) + 9*a(b). Differentiate y(u) with respect to u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 985720713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299918427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143055804499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5.4. Let k = y + 0. Which is the nearest to 1? (a) k (b) 2\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2*1)\/((-4)\/(-10)). Let h(l) = -l + 1. Let m(j) be the first derivative of -2*j**3\/3 + 3*j**2 - 6*j + 51. Determine d*h(u) - m(u).\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h + 492. Let q(v) = -7*v - 492. Give -3*i(j) - 2*q(j).\nAnswer: -j - 492","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 9. What is the common denominator of (-3 + 2)*182\/(-12) and 93\/d*(-4)\/(-16)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 243?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -1. Let k be (4\/(-6))\/((-1)\/c). Solve -12 = -3*r - k*f + 7*f, -3*r + 18 = -5*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m + 8. What is the first derivative of -16*u**2 + 10*u**2 + 12*u**m + 8 wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 21*x + 14. Let m(h) = 6*h - 4. Let o(k) = -7*m(k) - 2*v(k). Let i(q) = 234*q. What is i(o(z))?\nAnswer: -936*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891196 to the power of 1\/2, to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 16289257 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 9:05 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 64 - (-69 - -69)) + 22.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*4 + sqrt(48)\/sqrt(3)*-3)\/((-1*sqrt(56)\/sqrt(7) - sqrt(8))*-4).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -322*t**2 + 612*t**2 - 2441*t**2 to the form p + i*t + q*t**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123438745.\nAnswer: 5, 31, 796379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-96)*(-16)\/(-42).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 60500 divided by -12100\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 11687086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-7))\/i)\/(i*i**(-2\/15)) assuming i is positive.\nAnswer: i**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from llflqlphhhhppl?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/16 and 99\/864068.\nAnswer: 3456272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237 and 3.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385469 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4378 to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.3419 to 0 dps.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r**3 - 6*r + 6. Let o(s) = -s + 1. Determine 6*o(c) - u(c).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grkggfffggrfrgrf. What is prob of sequence grkg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 241350*9.06\nAnswer: 2186631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131330003 (base 4) to base 6.\nAnswer: -2343415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1820\/11 + 85529\/517. What is the nearest to 1 in g, -5, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/21*21\/(-6). Let m be 1\/3 + 40\/i. Let p(a) = -a + 11. Let r be p(m). Solve 0 = -w + r*w - 3*g + 12, -5*g = 5*w + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566532 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317103878026090 - 0.1.\nAnswer: 317103878026089.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(192) + sqrt(12))*-6)\/(sqrt(4)\/sqrt(18)*-4).\nAnswer: 9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a factor of 14153835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.5 - -3. Suppose -5*t + 10*t = 5. Let o be -2 - t\/((-3)\/(-9)). Which is the closest to 0? (a) n (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -35*d - 34*d + 70*d + 4. Let x(l) = -2*l - 12. Let c be x(-7). Suppose i - 13 = c*w + 3*w, -w - 17 = -5*i. Give y(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 2, t: 2, z: 1, u: 1}. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -25*r**2 + 3 + 1013*r**3 - 1012*r**3 + 13 + 7*r + 27*r. What is the tens digit of s(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -999b0b (base 13) to base 2\nAnswer: -1101110011110111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -13\/2, -2, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**7\/12600 + t**6\/600 + 3*t**5\/200 + t**4\/4 - 5*t. Let c(i) be the third derivative of x(i). Factor c(l).\nAnswer: (l + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1049 = 221*b - 224*b, -2*h = 5*b - 1759. Calculate the highest common divisor of 130 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1739 + 1075. Let t = q + 703. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 25*n - 87 = -7*a, 1733 = -a + 4*n + 1749 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 20d?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyeyceeceeeecyccy. What is prob of picking 4 c?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2 - 2)*(636*p + 2927*p - 5106*p).\nAnswer: 3086*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**4 + 2*c**2*q**2 - 4*c*q + 714*q**2 wrt c?\nAnswer: -8*c**3 + 4*c*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 1\/24*u**4 + 0*u + 1\/3*u**3 - 4*u**2 + 0. Let c = 11 - 7. Calculate w(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unqbiqn. Give prob of picking 1 q, 1 u, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*u, u - 18*c - 7 = -15*c. Let k = 0.9 - 1. Sort u, k, -2\/3, -1\/8 in ascending order.\nAnswer: u, -2\/3, -1\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 2*k + k**3 + 4*k)*(4*k + 4*k + 3*k) in the form d*k**4 + s*k + x*k**3 + y*k**2 + b and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3 = 5. Find the third derivative of -5*p**5 + 2*p**5 - p**5 + a*p**2 wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 10:17 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11117 in -0.51, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 - 10 = 0. Let h = b - -65. Is 10 a factor of 2\/3 - h\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 2*o + 1. Determine u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 8:15 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200010200020 + 0?\nAnswer: 200010200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -5. Suppose 11 + m = 2*x. Suppose 2*j - 3*c - 13 = 0, 2*j + 3*c + 3 = -2. Solve 2*i - x = -j*a, -2*i = -5*a + 4*a - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from iioooootitiioii?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -61405.49364 to 0 decimal places.\nAnswer: -61405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19931183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from {o: 1, i: 4, f: 5, v: 3, r: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 7. Let c be (60\/(-28) - -2) + (-1376)\/(-28) + -8. Let r = c + g. What is the highest common divisor of r and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230984, 461967, 692950, 923933, 1154916, 1385899?\nAnswer: 1616882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by -54\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 13*g + 17. Let c be r(10). Let t = c - -30. Suppose -t = 4*z - 9. Put -5, z, 2, -4 in increasing order.\nAnswer: -5, -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493 = 3*d + g, 5*d = -3*g - 335 - 492. Let v = d + 234. Let c = v + -21. Does 25 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1423.18 and -75.\nAnswer: 106738.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -516185.69 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61057\/9516 + -1\/2379. Let c(d) = 35*d + 52. Let n be c(7). Find the common denominator of h and n\/2079 - (0 - 417\/(-28)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - 53 - 7 - (-11 + -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: c2 (base 15) to base 6\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -53*n**2 + 5673*n - 180. Determine p(107).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1473855*t**3 - 364*t**2 - 1839.\nAnswer: -8843130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = m, 0*m + 4*q = -4*m. Is 3\/13 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n. Let c(u) be the second derivative of 5\/12*u**4 + 0 + 0*u**3 - 9*u + 0*u**2. Give f(c(y)).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/9 + 1268*a**2\/9 - 5096*a\/9 + 5104\/9 = 0.\nAnswer: -638, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 427 - 332.5. Let o = m + 19.5. Let l = o + -115.11. What is l rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -317340093*p**3 + 140 - 16*p**2 + 317340093*p**3 - p**4 + (p**2 + p**3 - p**2)*(-p - p + 4*p) to f*p + i*p**4 + y*p**3 + j*p**2 + r and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 2 + 1 - 4 - 93*t - 121*t.\nAnswer: -221*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13349 - 3?\nAnswer: -1334c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323*(-120)\/(-1140)*(10 - 9).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b**2 - 4*b - 3. Let f be q(5). Suppose -5*z + 48 = -f. Suppose -d + 4*d = z. Solve -4*s = -d*u + 14, -3 = 4*s - 2*u + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164465?\nAnswer: 5, 7, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + -2 + -4 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 5*g**2 + 3*g + 12. Let o be y(7). Let p = o + -80. Let j = 114 - p. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*j + 21. Suppose 0 = 3*c - 2*d - 6, 2*c - 8 - 1 = 3*d. Suppose 3*y = -4*w - 2*y - 18, 0 = 4*w - 4*y. Sort w, c, j in descending order.\nAnswer: c, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22069*f + 22069*f + 3 + 3*f**2.\nAnswer: 3*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 193874 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 164*n**3 + 3*n**2 + 3*n - 5. Let b be t(1). Let s = b + -659\/4. Which is smaller: 55\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 185, 0.24 in ascending order.\nAnswer: -0.03, 0.24, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 14953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 496005 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 45 (b) -1\/2 (c) -3076 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, s: 1, p: 3}. What is prob of sequence pi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - c + 2*c)*(5*c**2 - 2*c**2 - c**2 + (c + 0*c - 3*c)*(3*c - 7*c - 3*c)) in the form l*c + w*c**2 + d + r*c**3 and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 4*p - 5*p)*(-1231 - 39*p**2 + 1231) in the form m*p**2 + k*p + b + d*p**3 and give d.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1031201 (base 4) to base 7\nAnswer: -20315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137112470 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 - 326.2?\nAnswer: -326.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 348 - 17401\/50. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1179909864 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2789482*x - 3325176.\nAnswer: -2789482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2728\/10 + 4\/20. Suppose -3*h + v = -3. Let k = h - 42. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {i: 14, b: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3475 and 196525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10212 - 0?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 179646 (base 10) in base 16?\nAnswer: 2bdbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - w**2 + 13*w - 11. Let y be b(6). Let l = 35 + y. Let d be (l\/(-3))\/(0 - (-1)\/(-27000)). What is d rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2 + 3 - 4. Let n(f) = -2*f - 10. Let j(h) = -n(h) - 6*z(h). Suppose 5 = 3*l + 17. Determine j(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*p - 7, 4*u - 4*p = -5*p + 11. Suppose -10 = -2*m - u*v, m + v + 7 = 6*m. What is the derivative of 4*o**2 + 106 - 27*o**m - 76 wrt o?\nAnswer: -46*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53281 or -2344429\/44?\nAnswer: -53281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*o = -12, -2379*n + 2375*n - 3*o = 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 >= 1290263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + 1 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 0) + 7 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 12*g + 1. Let r be v(12). Let x be ((-12)\/8)\/(6\/24). Let z be x*r\/10 + 1. What is the third biggest value in z, 3\/2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0 - 3. Suppose 3*q - q + 4*u + 2 = 0, -w = -2*q - u. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(192)*-1 - (sqrt(192)*-1*4 + sqrt(192)))**2 + 1)*-6.\nAnswer: -18438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - w + 70 - 71, 0*n + n + 29*w + 117 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 15974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 1978?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197.056 - 197. Let s = -0.085 - -0.0414. Let m = c + s. Round m to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**3\/6 + 5*v. Let c(a) be the third derivative of 0*a**3 + 1\/60*a**5 + 0 + 0*a**4 + a**2 + 0*a. Determine c(j(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 422738 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*v + 16, 8 - 21 = -4*p - v. Suppose -x - 14 = 2*a, -3*x + 3*a + 40 = 109. Sort x, -1, -5, p.\nAnswer: x, -5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j + 30. Give r(11).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.37 - -4.93. Let b = 1 - -4. Let g = b - n. Round g to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61.84 + 61.8. Let t = -13 + 11. What is the second biggest value in d, t, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10049 to three decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 367.1938 (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18790 + -18208\nAnswer: -36998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242163?\nAnswer: 3, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 653 - 93. Let s = 541 + c. Is (-4)\/6 - s\/(-27) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 595\/245 - 9\/21. What is the third biggest value in 13, p, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + (sqrt(624)*-2*-4)\/sqrt(12))*-3.\nAnswer: -48*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3365772 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-364)\/84 - 20\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 18 = -n. Let a be (-8)\/(78\/(-6) - -11). Solve a*s + n = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4015, -8015, -12009, -15991, -19955?\n\"Answer: c**3 - 3*c**2 - 3998*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-6*((-2*sqrt(108))\/sqrt(3))\/((sqrt(192)\/sqrt(4) + sqrt(48))\/sqrt(4)))**2)*3.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/((-25)\/4430))\/1. Let k = 1449 + d. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duaaaaaadmuaaa. Give prob of sequence mdd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 0.01 (c) -2\/5 (d) -93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 = 7*o - 2*o. Suppose -19642 = -505*h + 2019 - 2471. What is the remainder when o is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from mpmpmyppmpyp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 65 = 5*m, 3*m - 7 = -3*p + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/44 - (-17 + 16)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-568)\/(-6))\/(22\/27). Let z = -116 + w. Determine l so that 0 + z*l**2 - 2\/11*l + 2\/11*l**3 - 2\/11*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43784*g**2*h - g**2 - 9*g*h - 60792955*h wrt g?\nAnswer: -87568*g*h - 2*g - 9*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -1\/6, 0.053, 3, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -6*sqrt(396) + (sqrt(11) - (-2 + sqrt(99))).\nAnswer: -37*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*b + 373 = -x, -4*b - 1500 = -4*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4909 = 21*h - 40766. Suppose -2*i + h = -3*u, -4*u = -0*i - 5*i + 5455. What is the highest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*p - 30 = 157*p. Find the third derivative of -i**5 - 3*i**2 + 3*i**p - i**5 - 9*i**5 + 27*i + 3*i**4 + 0*i**4 wrt i.\nAnswer: -480*i**2 + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50258 divided by 25129.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 - 4*o**2 - 4*o**3 - 34 - 13*o**3.\nAnswer: -17*o**3 - 4*o**2 - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133.8 + -6.2. Let b = 134.208 + n. Let k = b - -5.8. Round k to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - o - 15. Let g(z) = 2*z**2 + 2*z + 30. Calculate -5*f(b) - 3*g(b).\nAnswer: -b**2 - b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Suppose 0 = n - 0*n - 4*i - 8, n = 3*i + 5. Let z be (-2 - n - 2)\/(-2). Solve -y*d + z*d - 15 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*4\/(-4))\/(-10*(-7)\/980)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g**2*m**2 + 9728*g**2 - 2*g*m**3 + 2*g*m + 3434*m**3 + m wrt m.\nAnswer: -12*g**2 - 12*g*m + 20604*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-2*4 + sqrt(209))\/(sqrt(55)\/sqrt(5)*-1) + 0)*6.\nAnswer: 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0. Let x be 3 + (-1 - (-39)\/(-21)). Sort t, x, -3\/2 in decreasing order.\nAnswer: t, x, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 - 5*w**4 + 3*w**4)*(3 - 35*w - 1 + 29*w).\nAnswer: 24*w**5 - 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 65. Factor 32 + 37*q + 27*q**3 + 11*q + 25*q**3 + 24*q**2 - 48*q**x.\nAnswer: 4*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 14. Let t(d) = -8*d - 3. Let y be t(-4). Let v = q + y. What is the highest common divisor of v and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 175 + 1735?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gey when three letters picked without replacement from eyyg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 3*m**2 - 4*m - 8. Let k be 5\/(-15) + (-66)\/(-9). Suppose 2*z = -k - 1. What is the units digit of b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 846?\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 3, m: 1}. What is prob of sequence zm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 137761 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 78 = 29*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -c + 59000, 3*n + n - 2*c = 47200. Round n to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*o - 3*a + 5, 0 = 5*o - 3*a - 24. Suppose 5*f - c = -2, -3*f + 4*c + 11 = -2*f. Let u = o + f. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, j: 4, o: 4}. Give prob of picking 1 o and 3 j.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2952*j**2 + 485709*j - 485709*j + (j + 2*j - j)*(3 - 3 + 10*j) + 0 - 2*j**2 + 0 as l*j + i + m*j**2 and give m.\nAnswer: 2970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -1\/2*k**2 + 0*k**3 + 0*k + 3 - 3\/4*k**4. Find the second derivative of a(x) wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/(-20) + (3402\/24 - 3) is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**24)**(-23)\/(((z\/(z\/(z*z**(2\/83)\/z)))\/z)\/z**(-3)))**(-16\/7) assuming z is positive.\nAnswer: z**(735744\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1279 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 5:15 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**3 + 3*d**2 - 4*d**3 - 3*d**2 + 7*d**2 + 4*d - 13*d**4 + 0*d**2 to the form x*d**3 + h*d + r + q*d**2 + c*d**4 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -5, 1\/7 in descending order.\nAnswer: 3, 2, 1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*16\/(-128))\/((-15)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5620 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/240 and 107\/12600.\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170752 - 85376 + 28160*w - 85376.\nAnswer: 28160*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 92 - 14 - (-11 + -32 + 52)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.73389743 and 5584691.\nAnswer: 5584691.73389743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmy when three letters picked without replacement from mqmqfmmmfyffmyffmf.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15918*k**3 + k**2 - 50876.\nAnswer: 47754*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 43 + 16 = 3*z, -25 = -z + 4*a. Solve -12*n = -z*n - 3*s + 15, 0 = -3*n - s + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5071 - 371. Round j to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -5, 0.345, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.00787? (a) -2\/9 (b) -3 (c) 27 (d) 11 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 1 - (-16)\/(-4). Let f = -32 - g. Let s = 66 + f. Is s < 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from qlqhhqzzzhlqzhtz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*z**2 - 155*z**2 - 1 + 53*z**2 - 99*z**2 to t*z**2 + a + m*z and give t.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (sqrt(275) + (-2*sqrt(275))**2)*6) - (2 + (2*sqrt(121)*-4)\/(sqrt(11) - -2*sqrt(44))).\nAnswer: -19796 - 442*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (156\/(-65))\/(1\/(-5)). Suppose 0 = -17*n + d*n - 120. Let q = -13 - n. Calculate the lowest common multiple of q and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54252, -108488, -162724?\nAnswer: -216960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 46. Let l be w(-17). Put 3, -2, l in increasing order.\nAnswer: l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v**2. Let a be s(1). Let j be (-8 - 10\/(-2)) + -4. Is a >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-1 + 0) - 585\/(-115).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363714, -1455061, -3273976, -5820459?\nAnswer: -9094510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/7)\/(-4*2\/(-56)). Solve 0 = -4*n + 4*m - 24, -4*m + r = -5*n + 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 30807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0038781765 + 3.\nAnswer: 3.0038781765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 0.03 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 660 by 4.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2 = 2*t + 5*z, -5*z = t - 6. Suppose -5*d = -5*k + 5, 0*d = -5*d + 4*k - 8. Let b be (-1 + 1)\/(d\/4). Sort -2, t, b in descending order.\nAnswer: t, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6 - 2 - 5 + 3*l. Let h be (-10 - (-132)\/8) + (-2)\/(-4). Calculate the least common multiple of 6 and d(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 479619820 and -0.1.\nAnswer: 479619819.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 435 or 436?\nAnswer: 436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22106 divided by -7.\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 2)\/(1\/(-3)). Suppose -5*d + 2 = -4*d. Let u be z + d + -1 - -2. Let f(x) = -x - 4. Determine f(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g + 2. Let n be q(-2). Let l = n + -7. Which is the nearest to -1? (a) l (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -965 + 994. Which is the biggest value? (a) q (b) -1\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 225*b. Let l(v) = -2*v**2. Calculate y(l(g)).\nAnswer: -450*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -27*u - 12*u - 23*u + 3960 for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517325743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 1670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696286 is divided by 696247.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*4\/8 - 2\/12. Factor -4\/3*b + 1 + y*b**2.\nAnswer: (b - 3)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011 + 12021021122011?\nAnswer: 12021021111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o - 70 = 0. List the prime factors of (o\/(-6))\/(2\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + 14 + (-12 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-12) - (-462)\/24. Let c = g + -20. Suppose -14 = 3*o + 1. Sort -6, o, c, 0 in descending order.\nAnswer: 0, c, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114305 is divided by 14258?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3931, -3933, -3935, -3937, -3939?\nAnswer: -3941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 u when four letters picked without replacement from {u: 7, c: 4, m: 4}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 - 17)*(1 + -2 - 3). Suppose -2*j + 3*j = 0. Let r = j + l. Solve -n + 6 = r*h - 7, -5*n = 3*h - 31 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - 2*sqrt(119)) + sqrt(119) - sqrt(119))*-3*6)\/(-3*-1*sqrt(7) + sqrt(21)\/(sqrt(3)*1)).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o**(-1)\/o))\/o)*o)**(-2\/109))**3*(o*o\/(o*o**1*o)*o*o*o)**(-10\/9)\/(o**(-2\/3)*o\/(o**(-6)*o)) assuming o is positive.\nAnswer: o**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**21\/(c*c*c**(-15)\/c*c) assuming c is positive.\nAnswer: c**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18701045*m - 4675263*m - 4675262*m - 4675260*m - 4675258*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3944 (base 12) to base 2.\nAnswer: 1100110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 9*r - 136. Give f(18).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 8) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 53 - 249. What is the remainder when 978 is divided by k?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rchiicccr. What is prob of sequence rihc?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-4) - (62 + 272\/(-8) - 23)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1109967593 to the nearest integer?\nAnswer: 33316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 1 + 0*g**3 + 0*g - 2*g. List the prime factors of u(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 60699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 2*h + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/950 and -5\/4.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 10. Let x = -51.419 - -50.919. Sort z, 2\/5, x in decreasing order.\nAnswer: z, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.91 + -0.09. Let i = -7 - x. Let j = -4\/9 - -5\/9. Which is the closest to -1\/4? (a) i (b) -1\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101220 + 10?\nAnswer: -101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**2 + c**2 - c**3 - 14*c**2 - 43*c + 4*c**4 - 537*c + 4*c**2 to s + r*c + p*c**3 + z*c**2 + l*c**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.198 + -7.198. Sort -0.3, -12, 4\/43, v in descending order.\nAnswer: 4\/43, -0.3, v, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b90 (base 14) to base 15.\nAnswer: -a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20457?\nAnswer: 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*j**2 - 276*j**2 + 145*j**2 - 60*j**3)*(3 - 3 + 2*j)*(3*j - 3*j + j).\nAnswer: -120*j**5 + 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30741 = 3*g + 107*m - 102*m, 4*g - 40974 = -2*m. List the prime factors of g.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2 + 4, -5*k = -4*v - 109. Suppose -5*s + k = 41. Let c(b) = -b**2 - 4*b - 1. Let q be c(s). Which is smaller: q or -3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2616, -10745, -24402, -43599, -68348?\nAnswer: -98661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56463 is divided by 459.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59395 is divided by 825.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14144\/19 or 2\/161?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 11594122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-4 - (3 + -5)). Suppose -j + 4 = -5*v, 2*j - 4*v = v + 3. Let z = -61 - -365\/6. Which is the third biggest value? (a) t (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -236 (base 12) to base 9\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 883724 and 1484?\nAnswer: 327861604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 46 (b) 3 (c) -7 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/5 - 9*t**3\/5 - 27*t**2\/5 + 81*t\/5 = 0. What is t?\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 6) to base 12.\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.934 - 0.066. Let z = 2980322.000009 + -2980331. Let v = n - z. Round v to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**2*z**3 - 78*x**2*z**2 - 6*x*z**5 wrt z?\nAnswer: 30*x**2 - 360*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-2 - 4) + (96 - 82).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 56. Let m be (9\/15)\/((-1)\/p*3). What is the third biggest value in 5, m, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171157669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 4. Let x be f(0). Suppose x = 2*a - 0*a. Is 2 != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/3 - 2*w**2 - 4*w\/3 = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let x be u(-2). Suppose x*p - 16 = 2*g, 3*p - 14 = -2*g + 3*g. Put 5, 0, g in ascending order.\nAnswer: g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 716 - 2?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4727*w**2 - 6*w. Let f(i) = 14185*i**2 + 20*i. Calculate -3*f(z) - 10*l(z).\nAnswer: 4715*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + 4*f + 7. What is the tens digit of y(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 64*p**2 + 16*p**2 + 20*p**2 + 1917*p.\nAnswer: 95*p**2 + 1917*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 12 (c) 1\/2 (d) 7\/57 (e) -2 (f) 2\/9 (g) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(1\/4)*a)**37)**(-8))**22)**(-2\/33) assuming a is positive.\nAnswer: a**888","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**3\/3 - 3*q**2 + 12*q + 533. Give j(-11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 15*g + 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575 and 1850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + f + 4 + 39 = 0, 2*f = 10. Let x = 21 - n. Let o(a) = 11*a - 12. Is o(x) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 bigger than 166463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 3\/7, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119770*q + 119828*q = 464 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 33567056554126\nAnswer: 33567056554121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 131?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210 + -209. Calculate the common denominator of (-1199)\/(-545) - 1*l\/(-2) and (-474)\/8*2\/12.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfq when three letters picked without replacement from {q: 7, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 456 = -4*b. Let k be ((-1500)\/18)\/((-1)\/b). Round k to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -0.5 (c) -1\/4 (d) -2\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j + 2 + 43*j + 42*j - 2 - 65*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a + 15. Let d(y) be the first derivative of -y**5\/120 - y**4\/24 - 362*y**3\/3 - 444. Let b(j) be the third derivative of d(j). Give b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a second in microseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 1. What are the prime factors of n\/(-5) - 6\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -17*b - 133. Let z be o(-29). Let y = 229 - 149. Calculate the highest common factor of y and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146\/657*891\/(-396).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 11*j**2 - 36*j - 611. Determine c(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 623984638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 9.9, -7, 1 in decreasing order.\nAnswer: 9.9, 7, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-354)\/59)*-132.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97972*q + 48985*q + 48993*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*(-7)\/245)\/((-106)\/4081)*(-8)\/(-22). What is a in -t*a**2 + 136\/5 - 134\/5*a = 0?\nAnswer: -68, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1751, 1962, 2171, 2378, 2583, 2786?\nAnswer: 2987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166.7 - -181.51. Round u to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*u**2 - 55*u**2 + 106*u**2 + (-4 - 2 + 4)*(3*u**2 - 3*u**2 + 2*u**2).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {h: 9, p: 3}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0.4. Let a = -1.5 + v. Let p = 2 - 1.8. Sort a, -3, p.\nAnswer: -3, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4858.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ussushieuueiau. Give prob of picking 1 h and 1 e.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -6 + 3 + 3 + 77 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 - -101. What is the second derivative of -15*r**5 - r**2 - 68*r - 11*r**5 + o*r**5 wrt r?\nAnswer: -220*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 1. Let z be (-1 + -1 + 1)*-3. Suppose -5*j + 2 + z = 0. Let y(b) = -b - 1. Let m(i) = j*k(i) - y(i). Let v(p) = 2*p**2. Determine v(m(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3724 = -2*f, 1 = -3*t + 19. List the prime factors of f.\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 2*d + 6*d)*(d**3 - 3 + 3) + 6*d**4 - d**4 + 0*d**4.\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -13. Suppose -c = -3*b + 58, -g*b + 4*c = -21 - 31. Solve 3*j = l - 15, 3*l - 4*j - b = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4 - 12372*a**3 + 12792546*a**2 - 76224180*a - 89029101 = 0.\nAnswer: -1, 7, 2059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -335266 + 1?\nAnswer: -335265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 0)*(-8)\/(-12). Let g(w) = 4*w**2 + w + w - m*w. Let f(k) = -8*k. Let u(s) = -7*s. Let q(a) = 6*f(a) - 7*u(a). Determine g(q(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8)*-2*-3) - (sqrt(1573)*-1 + sqrt(1573) + -4)) + 1.\nAnswer: sqrt(13)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/96 and 29\/48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -259 + 266. Let a(n) be the second derivative of n**3\/2 - 3*n**2 - n. Let c(h) = 3*h - 7. Determine i*a(v) - 6*c(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -87 - -3?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + m + 1. Let c(w) = 35*w**2 + 40*w + 40. Let k(u) = -3*c(u) + 120*t(u). Let a = -15639 - -15638. Calculate k(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c**2 + 12*c - 37. Let m be a(18). Is 1\/((-9425)\/m + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1961681.37000008 - -1961681. Let z = -0.37 - b. Round z to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = -468. Let a be ((-6)\/(-9)*-269)\/((-4)\/6). Let y = i + a. List the prime factors of y.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - j)*(-82*j**2 - 88*j**2 + 43*j**2) + 3*j**3 - j**3 + j**3 to s + i*j**2 + o*j + g*j**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.4, 19, -2, -1\/5, -5, 0, 1 in decreasing order.\nAnswer: 19, 1, 0, -1\/5, -2, -5, -7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -111040046, -111040042, -111040038?\n\"Answer: 4*y - 111040050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 0, -2, -0.4, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.051131 nanograms?\nAnswer: 0.000000000000000051131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 785 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/157?\nAnswer: -10\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*c - 1)*(2 + 1 - 2)*(487 - 361 + 452)*(1 - 2 - 1).\nAnswer: -2312*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (sqrt(78) - (sqrt(78) + sqrt(78)*2*-3)) + sqrt(78))\/(sqrt(6) - 1*sqrt(486) - sqrt(6)).\nAnswer: -8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/98 and 31\/70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 812, 829, 844, 857, 868, 877, 884?\n\"Answer: -u**2 + 20*u + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 47, 53, 57?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/13 - 17984*f\/13 + 35960\/13 = 0. Calculate f.\nAnswer: 2, 8990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 28. Let r(c) = -c + 103. Let q be r(29). Suppose 4*o - q = -n + 13, s*n + 4*o - 285 = 0. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -57\/2. Let k = 52\/3 - 17. What is the nearest to -0.2 in q, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2325 + 2324. Put v, -22, -5, 3 in decreasing order.\nAnswer: 3, v, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + o - o - 4*o + 2 - 2 + (-4 - 3 + 6)*(0*o - 2*o + 0*o) + 2*o + 0*o - o - 1 + 1 - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 36. Let x = n - 14. What is the third derivative of 10*b**3 - x + 9*b**2 + 9 wrt b?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 44.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5969282 or -25?\nAnswer: -5969282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11086 divided by -6.\nAnswer: -5543\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = q - 1, 2*m - 8 = 4*q - 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -47.931. Let h = -74605 + 74604.93100164. Let w = h - l. What is w rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 2*y**5 + 15 + (6*y**4 - 4*y**4 - 3*y**4)*(2*y + 3*y - 4*y).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -449.6 + 443.6. Which is the fourth smallest value? (a) 0.1 (b) j (c) 0 (d) 4\/3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*t**3 + 14*t**3 - 20 - 6*t**3 - 127*t**3.\nAnswer: -184*t**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrgqgggrqgggqego. What is prob of sequence go?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31027)\/285 - -8*((-179)\/(-60) + -3)) + -13.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*v**4 - 2*v**3 - 2168*v**2 wrt v?\nAnswer: -144*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + d4b?\nAnswer: d4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -54.3\nAnswer: 271.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 119) + -2 + -31.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s = -26*s - 40 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5*t - 4 = 0, -34*o + t - 16 = -30*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 40176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 441778889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133387 is divided by 1404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atahothitta. What is prob of picking 1 o and 1 t?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12937625\/194 + 66689. What is the common denominator of 10\/97 and i?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470.27 plus 7?\nAnswer: -463.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7542 = 5*s, -26*s + 31*s - 1873 = i. Let l = -1087 - i. What are the prime factors of l?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 - n - 3. Let v be w(-2). Let o(g) = -g**2 + g - 5. Let y be o(5). Let b = v - y. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 15351096 - 831096. What is n rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.78.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5361588 - -2547388. Round d to the nearest 10000.\nAnswer: -2810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {a: 1, r: 3, g: 1, w: 3, m: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/13 + 1084*j**2\/13 - 6418*j\/13 - 7504\/13 = 0. Calculate j.\nAnswer: -1, 7, 536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**3\/6 + 1030*j**2\/3 - 154955*j\/6 - 108850 = 0.\nAnswer: -4, 105, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -1\/336*h**8 + 0*h + 0*h**5 - 3*h**2 + 0 + 0*h**3 + 0*h**7 + 1\/12*h**4 + 0*h**6. What is the second derivative of f(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:18 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2. Suppose 4*k + 4*p + 12 = 0, 0 = -2*k - k - 4*p - 14. Let b(f) = f - 1. Let g be b(4). Let v(i) = -5 + 2*i**2 + k + g. What is v(h(c))?\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -0.5, 14\/69, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-k + k + 3*k)*((k + 2*k + 0*k)*(2 + 0 + 0) - 2 + 2*k + 2).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 10*r. Suppose 5*h + 15 = -20. Let w(c) = c**2 + 3*c. Let q(z) = h*w(z) + 2*m(z). What is the second derivative of q(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 44 = -23*b, 0 = 4*b - 0*f + 5*f + 4741 - 4754 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 466*p + 28. Let k be g(-8). Round k to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -217*x - 7379. What is a(-34)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + sqrt(2) + sqrt(8)\/sqrt(4))**2.\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 46*h**3 + 3*h**2 - 5*h - 6. Let l be p(4). Let v = l + -1790. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + z - 1. Let w(r) = r - 1. Let t(p) = -2*s(p) + 2*w(p). Let u(n) = -n**2 - 3*n + 2. Let a be u(-3). Let o(v) = 4*v + a*v - 4*v. Give t(o(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (9 + -6) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 14, -3\/8, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -178.1 and -0.08?\nAnswer: 178.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2903 or -2898?\nAnswer: -2898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 - 4*f - 3. Let c be y(-2). Let r(t) = 5 - 12 - 3 + 6*t + 6*t**2. Let a be r(c). What is the highest common factor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*((sqrt(2700) - 1*sqrt(2700)) + sqrt(2700) + sqrt(2700) + sqrt(2700) + -3)*5)**2.\nAnswer: -4374000*sqrt(3) + 196902900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -9. Let j(i) = i + 0 + a*i + 0. Let t(p) = p. Give t(j(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 - 1312?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/15)\/((-1441)\/1310)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = 8*s + 1092. Let p = -45 - s. What is the greatest common factor of 49 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41214 divided by -6?\nAnswer: 6869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -75*u**5\/7 - 1092*u**4 + 29091*u**3 - 211542*u**2\/7 + 2232*u = 0.\nAnswer: -124, 0, 2\/25, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -136602 divided by -15178\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19288815 - -27088827. Suppose 0 = -h - 4*r + o, 5*h - 2*h = 4*r + 23399988. What is h rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 798 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -590.74 + 580. Let k = 0.26 - l. Let q = -11.14 + k. What is the smallest value in -0.3, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-510)\/(-36)))\/(39\/(-50)*5).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**4\/12 - 7*k**3\/6 + 2*k. Find the second derivative of y(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-27)*(-2430)\/180*(-148)\/(-6)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-1*sqrt(125)))**2 + -2.\nAnswer: -48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 4. Let r = -145939\/2 - -72970. What is the nearest to r in -0.09, -1, v?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99446300 rounded to the nearest 1000000?\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -29089 * 0.3636\nAnswer: -10576.7604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*b + 35*b + 4*b**2 - 58*b + (4*b - 2*b - 5*b)*(-1 + 4 + b - 1) as t*b + w*b**2 + q and give t.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1 (b) 4 (c) -0.3 (d) -0.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*p - 0. Suppose p*y - 3*y = 30. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2538327.\nAnswer: 3, 11, 76919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -117*j**3\/4 - 6004443*j**2\/4 - 6158283*j\/4 - 153957\/4 = 0. Calculate j.\nAnswer: -51319, -1, -1\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*l = 83*l - 2916 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 945*b**3 + 5*b**4 - b**2 + 469*b**3 + 477*b**3 in the form a*b**2 + p*b + u + l*b**3 + x*b**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 45*t + 4. Let q be x(6). Let v be (32\/(-40))\/((-3)\/15). Suppose v*u - 202 = q. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214\/3 + -72. Let q(k) = -3 - 4*k - 5 + 3*k - 6. Let s be q(-10). Put s, 3, h in increasing order.\nAnswer: s, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/(-8)*(-60)\/50.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -1. Suppose g - 16 = -0*n + 2*n, d = n + 5*g. Let j(a) = a**2 + 4*a + 4. Is 8 a factor of j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.032 >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 19.1, 3\/5, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbz when three letters picked without replacement from zzbzzzzzzzzzbzzbbbzz.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2891, -5776, -8661, -11546, -14431?\nAnswer: -17316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2645, 5, 3, -1019 in decreasing order.\nAnswer: 5, 3, -1019, -2645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 102777 divided by 19\nAnswer: 102777\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 132585*w**2.\nAnswer: -w**2*(w - 132585)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -1\/7*i**2 + 0*i - 2 - 2\/21*i**3. Solve b(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13537.3 - -12785. Let v = 703 + b. What is v rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 + -101. Solve -2*p - p - 5 = s, 2*s + 5*p + b = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 6:12 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -644*c**2 + 660*c**2 - 1 - 3*c + 61*c**4 - 62*c**4 in the form y*c**4 + v*c + o*c**3 + s + t*c**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - 138*i**2 + 10*i - 52. Calculate the remainder when f(69) is divided by 133.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 12:05 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*r + 484400, 5*p + r = -2*r + 605500. What is p rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5182.113kg?\nAnswer: 5182113000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wamwmammmemw. What is prob of picking 2 a?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 19 = l + 9, 7 = 4*l - 3*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.009 + 0.491. What is the nearest to -10 in -0.3, 1\/5, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6770 - -6780. Solve 9*r - a = 14*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -20*r**2. Let n(a) be the second derivative of a**5\/30 - 6*a**2 - 10*a. Let i(k) be the first derivative of n(k). Calculate o(i(t)).\nAnswer: -80*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**3 - y**2 - 3. Let m be n(2). Suppose -20*z = -m*z + 10. Calculate the greatest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = 3*m - 13, 2*u + 2*m - 10 = 0. Let j be (-3)\/(21\/u) + 0. Which is the closest to -2\/5? (a) -4 (b) -1\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.058 * 33577.\nAnswer: -1947.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1240 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*p - 3*p - 5*d, -3*p + 4*d - 16 = 0. Let u be p*(-3)\/(-12) - -3. Let x be u\/(3 + -4)*-1. Solve -5*l - 4*m = -16, 0*l - 5*l - 12 = -x*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.3 - 22. Let i = 1.97 - -0.03. Let k = i + r. Which is the third biggest value? (a) k (b) -5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(528)\/(sqrt(12) + -2*(sqrt(12) + sqrt(12)*-1)) + -5.\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3004 - 2981 = t, -2*r + 8 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 3 + 3 + 1 - 1 - 2*x + (1 - x - 1)*(-5 - 4 + 3) - 3*x + 3*x + 2*x - x - 1 + 1 in the form q + k*x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347156 is divided by 171.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31793, -31702, -31611, -31520?\nAnswer: -31429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-4 - -2))*8\/51376. Is d != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -742859824*a*d**2 + 74455*d**2 + 212 wrt a.\nAnswer: -742859824*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 13021f?\nAnswer: -13021b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**4\/12 + 28*p**3\/3 - 385*p**2\/2 + 27*p + 2. Let g be n(8). Is g equal to -2\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47352 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4334, -0.3, -40, 4\/3, 0.2 in ascending order.\nAnswer: -4334, -40, -0.3, 0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2319 is divided by 2214.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -1.1, 2\/23, -0.16 in increasing order.\nAnswer: -22, -1.1, -0.16, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {z: 1, x: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 + 17*u + 13. Determine d(-8).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180288253?\nAnswer: 180288253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 f when three letters picked without replacement from {j: 16, f: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00111831 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*b**3 + 12 + 11*b**4 + 0*b**3 - 111 wrt b?\nAnswer: 44*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632469047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2009209, 2009197, 2009177, 2009149?\n\"Answer: -4*c**2 + 2009213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 10*o - 3. Let z be t(-9). Suppose 0 = -z*r + 3*r + 6. Find the third derivative of -9*n**r - n**3 + n**3 + 6*n**3 + 3*n**3 wrt n.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*i - 23 = 0, x + 1 = 2*i + 2. Suppose -5 + 0 = x*h. Let p(b) = -7*b - 1. Calculate p(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**5\/30 - 5*p**4\/24 - 11*p**3\/3 - 6*p**2. Let n be j(6). Solve n = -i - 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.102 - 8.102. What is the closest to 0.1 in v, -0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, c: 2, n: 1, a: 4, z: 5}. Give prob of sequence bana.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/11 - 49420*j\/11 + 3400458\/11.\nAnswer: 2*(j - 24641)*(j - 69)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihh when three letters picked without replacement from {h: 3, i: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {x: 4, d: 6, q: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 7}. What is prob of picking 2 q?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 6*g - 6. Let b be x(-5). Let u = b + 13. Suppose 3*a + a - 3*n = 24, -4*a - 4*n = 4. Solve -u = a*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**2 - 11 - 6*s - 10*s**2 + 17*s**2 + 10*s with respect to s.\nAnswer: 18*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 1. Let p be (-32)\/(-14)*(-98)\/(-28). Suppose 23 = p*j - 1. Let n be z(j). Solve -3*v - 2*v + 5 = -n*i, i + 17 = -3*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182 and 68614.\nAnswer: 68614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t, -2*t + 10 = 4*p - 14. Suppose 2*j = u + 5, -2*j + 2*u - 3 = -5. Find the second derivative of 13*f**4 + 0*f**p + f**j - 5*f + 0*f**4 wrt f.\nAnswer: 168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*j + 22*j + 8. Suppose 4*c = j*o + 6*c - 8, -8 = 2*o + 4*c. Solve 1 = -l - 4*u - 7, 0 = -2*l + 4*u - o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*43\nAnswer: -38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*v - 2 = 0, 3*c - v - 29 = 3*v. Let n be (4\/5)\/((-26)\/(-65)). Find the second derivative of -5*w + n*w + 7*w + c*w + w**5 wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232 and 5568.\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k - 11. Let n(a) = 2*a + 2. Let c(v) = 11*n(v) + 2*t(v). Let q(y) = -y - 1. Let m(b) = 2*b + 3. Let s(z) = -m(z) - 3*q(z). What is s(c(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6022.233 millimeters?\nAnswer: 0.006022233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 14. Let s be k(11). Let n(j) = s - 3 - 5*j - 1. Calculate n(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 101 = 4*t, 5*t - u - 127 + 12 = 0. Calculate the least common multiple of t and 930.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l = -y - 567, -4*y - 3*l - 2257 = 0. Let z = -325419 + 5522514\/17. Let c = y - z. Is 0 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3133.6 - -0.09.\nAnswer: 3133.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Suppose 4*a = -o + 17. Solve 5*m = -a*y + 2*m + 27, 2*m - 22 = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 4*y + 6. Let a be v(3). Suppose 0 = 2*d - c - a, d - 6*d + 11 = c. Calculate the least common multiple of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/14)\/(2\/4). Let h be t\/(-9) - (-4)\/12. Suppose h*g + 4*g - 28 = 2*d, 8 = 2*d. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -43*(5 - 612) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5862?\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 8*t + 22. Calculate the remainder when 60\/40*((-125)\/(-3) + 1) is divided by j(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1128 from -631469.55341.\nAnswer: -632597.55341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6840259, -6840245, -6840229, -6840211, -6840191, -6840169?\n\"Answer: d**2 + 11*d - 6840271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1\/426, -4, -12, 11\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuooouueuuueuo. What is prob of sequence xuu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/(-1463)*(-14)\/(-8)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 532200 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, 32, 201, 474?\n\"Answer: 52*w**2 - 91*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (1 - 20\/11). Let i = 85 - 92. Put 1\/2, b, i in ascending order.\nAnswer: i, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 126, 241, 342, 423, 478, 501, 486?\n\"Answer: -d**3 - d**2 + 125*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(2 + -1)\/(-1). Suppose -3*n - 13 = 5*r - c*n, -3*r - 4*n + 1 = 0. Suppose 4*t + m = 14, t - 12 = -4*t - 4*m. Put t, -2, r in decreasing order.\nAnswer: t, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -85.121267.\nAnswer: 83.121267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -5 (b) 29\/5 (c) 5 (d) -13 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.5, 473?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/5525 and -89\/53720.\nAnswer: 3491800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-12))\/(3\/(-130)). Let q = 131 - a. What is the remainder when q is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/26*2 - (-18760)\/260. Suppose 37 = -l - n. Let g = 112 + l. What is the lowest common multiple of g and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 10. Let q(y) = 11*y**2 + 4*y - 2. Let t(o) = 5*o**2 + o - 1. Let b(z) = 4*q(z) - 9*t(z). Calculate b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (8 + -10 - -5) + 8 + 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7 take away 1099898?\nAnswer: -1099902.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 22, -5, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-336)\/(-40))\/(-7)*(62\/(-42) - -1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147082602 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -986*w. Let h(s) = -2*s**2. Give r(h(v)).\nAnswer: 1972*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6599, -13629, -20659, -27689, -34719, -41749?\n\"Answer: -7030*y + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2\/5, -3, -0.49, 0.184 in decreasing order.\nAnswer: 2\/3, 0.184, -2\/5, -0.49, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -16. Let q be (-94)\/(-18) + 2\/(-18)*x. Solve -3*v - 3 = 2*l, -2*l + 1 - 6 = q*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153104 - 459246 + 2*k**2 + 153060 - 3*k**2 + 153082.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 u, and 1 b when three letters picked without replacement from {e: 1, u: 2, b: 9, x: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 7*h - 4*h. Let c be h\/(-15) + -3 + (-2)\/(-10). Suppose 0 = -m + 2, -c*m = -3*l - m + 148. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -17*u**8\/56 - u**5\/20 + 29*u**4\/12 + 5*u. Find the third derivative of g(i) wrt i.\nAnswer: -2040*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 2:56 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/656 and -145\/36?\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2152, -4341, -6530, -8719, -10908?\nAnswer: -13097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*z - 16, -231*a + z - 4 = -228*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**4 + 10804*h**2 + 2*h + 193847 wrt h.\nAnswer: 4*h**3 + 21608*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 5:56 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 5466.\nAnswer: 4\/2733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 - -106. Let g(u) = u**2 - 4*u + 4. Let l be g(3). Let q be l*1\/18*2. Sort q, t, 1\/6 in ascending order.\nAnswer: t, q, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1681 times -161\nAnswer: 270641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 + -6.82. Let n = m - -9. Which is the second smallest value? (a) 1 (b) -4\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1743 and -13\/93.\nAnswer: 54033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3181*p**2 - 23*p - 8. Let o(s) = 2*s**2 + 5*s + 1. Let k(u) = 6*o(u) + 2*w(u). What is the second derivative of k(c) wrt c?\nAnswer: 12748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 5:37 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g**2 + 87*g - 517. Calculate the remainder when x(-19) is divided by 200.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10996, -16111, -21226?\n\"Answer: -5115*k - 5881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 107*d**5 + 1 + 106*d**5 - 3*d + 0 + (d**5 - 3*d**5 - d**5)*(0 + 3 - 4).\nAnswer: 2*d**5 + 2*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -58. Let l be 2\/4 + (-2)\/(-4). Let n be l*(-3)\/(-6)*t. Solve n*w - 2*i + 12 = -i, i - 2 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/13))**(2\/7)*s**(-21)*(s\/s**(-3\/5))\/s)**(-1\/21) assuming s is positive.\nAnswer: s**(3114\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhtthhihihththht. Give prob of sequence hit.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 3467 in increasing order.\nAnswer: 3, 14, 3467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 6) to base 12.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 28. Let k be (0 + 0)\/(-4 - j). Suppose -3*u - 5*u + 672 = k. Calculate the remainder when u is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9, -2*w + 296 = 2*w - 4*n. Let u = w - 22. Suppose -4*q + 217 = -t, q + t + 4*t - u = 0. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, u: 9}. Give prob of picking 2 u and 1 w.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 6:35 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**3 + 4*z**3 + 13*z**3 - 6*z**3.\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + j - 4. Let w(s) = -4*s**4 + 28*s**3 - 17*s**2 - 31*s + 36. Let h(x) = 3*v(x) + w(x). Factor h(o).\nAnswer: -4*(o - 6)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1886608694 less than 1.6483?\nAnswer: 1886608695.6483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 398816475 divided by -79763295\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 1746085360*g - 190550880275395600.\nAnswer: -4*(g - 218260670)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 96 = 2*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131220 (base 4) to base 2\nAnswer: 11101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -74*p - 2. Let m be k(-3). Let l(t) = -t**2 + 12*t + 20. Let o be l(0). What is the greatest common factor of o and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7826736104379 from 81.\nAnswer: 7826736104460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 539060377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 43 = 2*t, 0*t + 16 = -2*t - 4*u for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 56. Suppose 3*v = v - 4*c + w, 89 = 3*v + 5*c. What is the common denominator of -89\/10 and (v\/28)\/(2 - 1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + 8\/(-4))*(3 - 4). Is -20*165\/j - -7 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7482*s*v**3*y - s*v**3 - 10*s*v**2*y**2 - s*v**2*y + 70723335*s*y**3 + 2*s + 2*v**3*y**3 - 4*v*y**2 wrt y?\nAnswer: 424340010*s + 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**4\/12 - 7*i**3\/6 - 13*i**2\/2 - 99*i. Let v be x(-2). Let m(h) = h**3 + 3*h**2 - 1. What is m(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 1, w: 2, o: 1, u: 2}. What is prob of picking 1 o, 1 w, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2\/19 + 130*p\/19 - 1848\/19 = 0.\nAnswer: 21, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.93 - 0.07. What is the biggest value in r, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2271 is divided by 455.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 65 - 77, -6 = -m - 2*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9802 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*q**2 - 6*q\/7.\nAnswer: -2*q*(133*q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i. Let r(z) = 34 - 18*z - 34 + 12*z. Determine 6*q(s) - 15*r(s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 22. Let k be s(17). Solve 2*x = -x + 2*p - 14, -2*x - k*p = 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12305693 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 26349. Let b(q) = 7*q. Calculate b(t(x)).\nAnswer: 14*x + 184443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -3, -4 in descending order.\nAnswer: 68, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 832?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)\/1*-11. Let f(z) = z + 25. Let a be f(0). Let n = a + m. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/27247 + -1171663\/572187. What is the common denominator of -37\/15 and m?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-28) - 177\/(-2478). What is the closest to 0.2 in -13, 0.3, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20855169 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose 4*n + 2*o - 42 = -g*o, 60 = 5*n + 4*o. Suppose -4*w = n - 28. Calculate the remainder when 8 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/8 and -49\/109?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-5) + 21\/45*3. Let g be -10 + 10 + 3*1\/(-1). Which is the closest to y? (a) -7 (b) -2\/11 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*u - 20*u - 1 + 6 + 1 - 1 - u + (-2 + 6 - 3)*(3*u + 0*u - 5*u) + 3*u - u - 3*u + u + 3*u - 2*u.\nAnswer: -3*u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 725\/69 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 99 = 4*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*v - 2*v + z, v + 1 = -z. Let d = v + 9. Suppose -d*y = -11 - 34. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g**2 - 31*g**2 - 13*g**2.\nAnswer: -77*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 574 and 2788?\nAnswer: 19516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115.02 - 115. Let w = -0.08 - y. Which is the closest to -0.1? (a) w (b) 0 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 125 = -6*x. Let r = 25 + x. Let j = -2 - -5. Solve -g - 5 = r, -j*g = -4*o + 2*g + 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -5 - 14) + -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3941 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49492 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**0)**(4\/5)\/(t\/(((t*t*t**(-4))\/t)\/t*t*t)*t**(-2\/5)\/t))**(6\/7))**(-1\/3) assuming t is positive.\nAnswer: t**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-510) - 356\/136) + 62\/(-4)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/64 and 15\/176?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-1 + -19 + 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 15*a + 10. Let v be g(-13). Suppose -3*u + 5*u - 14 = -w, -4*w + v = -2*u. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2420 (base 5) in base 6?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -133139 take away 0.18?\nAnswer: -133139.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21127 and 0.792?\nAnswer: 21127.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 87246198 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 5*o = -0*o + 364. What is the least common multiple of 322 and o?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let n(h) = 2*h**2 + 2*h + 2. Give 3*f(w) - n(w).\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 1. Let o(y) = -y**2 + 33. Let c be o(-5). Let f(v) = -2 + 3 + 15*v + c + 4 + 2. Calculate -f(z) + 12*x(z).\nAnswer: -3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in 0, -0.3, 9, -7, 0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 0 to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 95044*l**2 + 190012*l - 1425540.\nAnswer: 4*(l - 3)*(l + 5)*(l + 23759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 14) in base 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(15\/2))**6\/((r*r\/(r\/r**17*r*r))\/r)**(-39) assuming r is positive.\nAnswer: r**630","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -34*x**2\/9 + 4*x\/9 = 0?\nAnswer: 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*t, c - 39 = 2*t - 29 - 0 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 8}. Give prob of picking 2 d.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 23*d - 3. What is the remainder when 91 is divided by r(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -20. Suppose 0 = t - x, 3*j - 6*j + 7950005 = t. What is j rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -803 divided by 1\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -504 + 528. Calculate the greatest common factor of b and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8404000*h**4 - 60588162 with respect to h.\nAnswer: -33616000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrrrrrwrr. What is prob of sequence rr?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9956, 17157, 24358, 31559, 38760, 45961?\nAnswer: 53162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8403.\nAnswer: 3, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -4\/9, 3, 3\/68, -37.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 3)*(2 + 4 - 4) + (2 - 2 + 1)*(-1 - 3 + 5) - 5 + 3 - 1 - 3 + 5 + 0)*(c**2 - 4*c**2 + 0*c**2)*(28*c - 16*c - 4*c).\nAnswer: 96*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clllolzm. Give prob of sequence omz.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 4*v**2 + v + 4. Let a be l(-4). Suppose 0 = 5*n - 15, 5*n - 5 + a = 5*r. Suppose c = r*c + 4. Let i(f) = 2*f + 5. What is i(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h + 2*h + h + (-5*h + 9*h + 5*h)*(2 - 1 + 0).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4445179, -4445175, -4445171?\n\"Answer: 4*v - 4445183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3*-9*60\/(-2250).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 3. Calculate b(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0)**46\/(y**(1\/4)*y\/(y**(-6)*y))*((y**1\/y)\/y)\/((y\/(y*(y**7\/y*y)\/y))\/y)*y**(-4)\/y**(1\/9) assuming y is positive.\nAnswer: y**(1499\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-96)\/(-160))\/((-684)\/(-95)). What is the nearest to -14 in l, 1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-48)*(2\/4)\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-9)\/12) - -2. Let t be (-1 + 4)\/(d\/6). Does 13 divide (6\/t)\/((-2)\/78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181 + -178. Let p(a) be the second derivative of -1\/3*a**4 + 4*a + a**2 + 0 + 0*a**w. Differentiate p(q) with respect to q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54078*u**3 - 110193*u + 110193*u + 123*u**2 - 54076*u**3.\nAnswer: 2*u**3 + 123*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3963684.7 minus 535.7463?\nAnswer: 3963148.9537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -77. Suppose -21*w + j*w - 24 = 0. Solve -4*m = 3*q - m + 12, 3*q + w = 3*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 0.7, -0.481?\nAnswer: -0.481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2*m**3 + 9\/2*m - 3\/2*m**2 + 0 + 3\/2*m**4.\nAnswer: 3*m*(m - 3)*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 219, 770, 1683, 2958?\n\"Answer: 181*q**2 + 8*q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -954141 by 3.\nAnswer: -318047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 8*n**2 - 19*n + 18. Let m be r(9). Let x = m + 164. What is the remainder when x is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 14\/9*c**3 - 2\/9*c**4 + 0 - 8\/3*c**2 = 0 for c.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.78 + -0.628. Let s = -0.152 + q. Which is the third biggest value? (a) s (b) -2\/51 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and -119\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 3, c: 1, x: 4, f: 2, s: 2}. Give prob of sequence wfk.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 5888540*h**2 + 1733733389440*h + 6935027774720.\nAnswer: 5*(h - 588856)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349869399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1042 and -436285 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**3\/6 - d**2\/2 - 23*d. Let x be m(-3). Let p be 4\/(-3)*(-36)\/x. Which is greater: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 greater than or equal to 189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1903, -2, 2 in descending order.\nAnswer: 1903, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from pxxjppphpxpxxpx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 90 - 90 + g. Let c(r) = -r**3 - 7*r**2 + 8*r + 4. Let w be c(-8). Let u(y) = y**2 + w*y - 4*y + 0*y**2. What is u(i(a))?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50032.949 - -50070. Let d = 0.051 - p. Let u = d + 36. Which is bigger: u or -2\/219?\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**3\/3 + 3*w**2\/2 - 20*w + 4. Suppose 0 = -3*l + 12, -c + 183 = l + 185. Determine a(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*n**4 - 5*n**2 - 161*n wrt n.\nAnswer: 324*n**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-20 - -15) - (-3 - 28 - -13).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/44)\/(-13)*4.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 8*p - 5. Determine a(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1154 + 161?\nAnswer: -883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 11}. What is prob of sequence rc?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 64. Let t(n) = -44*n**2. What is t(b(i))?\nAnswer: -176*i**2 - 11264*i - 180224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589 = -11*s + 24*s + 18*s. Solve 3*g - 4*g + 5*x + 17 = 0, -2*g + 5*x + s = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*g + 411*g = -1792. Solve 131*l + 133 = g*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14330 + 14329. What is the nearest to d in -1\/3, -4\/17, 13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d**2 - 4. Let q(n) = -456*n. Calculate q(p(a)).\nAnswer: 2280*a**2 + 1824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3359920 by 52.\nAnswer: -839980\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 11*w**8\/20160 + w**5\/30 - 4*w**2. Let r(t) be the third derivative of f(t). Let d(b) = -4*b. What is d(r(c))?\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1983560 and -65\/3.\nAnswer: 5950680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -62.16 (b) -0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 5*n**2 - 7*n + 2. Let r = -4 - -10. Let u be h(r). Let q = -1 - u. Solve -5*s + 4*c - c = -q, -3*s + 2 = -2*c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0*g**5 + 0 + 25\/24*g**4 + 0*g**3 - 22*g**2 + 0*g**7 + 0*g - 1\/24*g**8 + 0*g**6. What is the second derivative of b(l) wrt l?\nAnswer: -280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73.6 + 82. Round i to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/60 and 107\/3840?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 + (-28)\/8. Let u = c + 3. Suppose -2*x - 4 = -u*x. Let i(r) = -r + 2. Determine i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1571 + 3049 - 12*b - 1546 + (-3*b + 5*b - b)*(0 - 5 + 4) - b + 2*b - 2*b.\nAnswer: -14*b - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176192 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + x**3 + 2*x + 4*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 100 = 120. What is the remainder when 16 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9*i - 26754 = 0. What are the prime factors of (i\/(-8) + -3)\/((-9)\/24)?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + h, -4*z - h - 8 = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 3*q + 37, 3 = -s - 5*q. What is the remainder when 108 is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (80\/(-60))\/(2\/(-3)). Find the first derivative of h*j**2 - 50*j**2 - 12 + 30 wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -2)\/(2\/4). Suppose -26 = 2*q - 0*q - 5*k, 5*q + m*k + 32 = 0. Let y = -7 - q. Solve 2*b - 3 = y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/9)\/((-2)\/(-3)*21). Which is bigger: 80.05 or j?\nAnswer: 80.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 8*x + 16 = 0. Suppose -a + 10 = x*a. What is the remainder when 3 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82\/6 - (-1)\/3 and (-657)\/876 + (-59)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 51*q - 109 - 74 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = g - 72. List the prime factors of g.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a, a - 41 = 2*v - 47. Suppose -2*u - 44 = -6*s + 3*s, 4*s = -3*u + 36. What is the remainder when s is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 7*c**2 - 3*c - 4. What is s(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-1 - 2) - -7. Solve -r = -4*y + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 0 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0*g + 3*g**2 + 1\/6*g**5 + 35 + 0*g**4 + 0*g**3. Let h(v) = -15*v**2. Calculate l(h(t)).\nAnswer: 2250*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 4*a + 13. Let h be n(-3). Calculate the lowest common multiple of 14\/2*(-2)\/(-2) and -2 - 48\/(h - -4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2287 + 1143 - 7*o**2 + 1144.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 49101*b + 4691670.\nAnswer: -3*(b - 95)*(b + 16462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7238*s**3 - 12150*s**3 + 6553*s**3.\nAnswer: 1641*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 + 29*h**2 - 42*h + 9. What is the remainder when y(7) is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 67*j**2 - 36*j - 66. Let i be h(-34). Let m(q) = -1 - i + 3 - 18*q. Let y(a) = -2*a**2. What is m(y(o))?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 236157102 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-64) + 671\/4. Let p = -104 + h. Calculate the greatest common divisor of 224 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2166 + -1144. Let r = 1453 - b. Calculate the remainder when r is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -3*a + 3, 1470*a + 11 = 1466*a + u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5390 + 721 = 161*d for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.1276 - 0.0876. Round w to 0 dps.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14746900 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 16. What is the remainder when 11 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d*i**4 + 2*d*i**3 + 30350*d*i + 55*i**4 - 84*i**3 + 5*i**2 wrt i.\nAnswer: 168*d*i + 12*d + 1320*i - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 16*p - 26. Let t be q(4). Let o = t - 18. Suppose 0 = -4*k - 2*v + 21224, -k - 2*v = o*k - 26529. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.8315 to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 6:47 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 155289886949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 16*d = -3*m + 26, -4 = -2*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -75.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9160*m**2 - 10*m - 18272*m**2 + 0*m + 9110*m**2 - 2*m.\nAnswer: -2*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/5)\/((-8)\/20). Suppose 0*l + w*l + l = 0. Suppose 0 = 3*r + 2*c - 48, l*r - 65 = -4*r - 3*c. Which is bigger: r or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 522066 divided by -6\nAnswer: -87011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.81 + 2.61. Which is the second smallest value? (a) 4\/7 (b) 2\/7 (c) p (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/7 or 21.112106?\nAnswer: 21.112106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9160?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/59 in 0.1, -10, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 2, -1\/23, -1, 4.\nAnswer: -1, -1\/23, 1.6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418529309 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19214 + -19193. Let h(d) be the third derivative of 0*d + 0 + 0*d**6 - g*d**2 - 1\/210*d**7 + 0*d**4 - 1\/336*d**8 + 0*d**5 + 0*d**3. Factor h(k).\nAnswer: -k**4*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((3*(-4)\/(-48))\/(-1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 47*d**2 - 13*d + 49. Calculate m(24).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88007863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 386 + -410. Calculate the remainder when (3201\/44)\/(3\/l*-2) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05002873*-0.3\nAnswer: 0.015008619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -57572 times -0.2\nAnswer: 11514.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 9. Let k be (-14)\/7 - (-87)\/(-6)*-6. Let u = 87 - k. What is the remainder when x is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 6:15 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -0.2, 9, 3498?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 1. Let n = 4 + -2. Suppose n*i - 13 = -4*m - i, -4*m = i - 7. Let v(c) = -2*c - 3. Determine m*v(o) + 4*u(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 45*-134\nAnswer: -6030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02063 - -24.51063. Let x = l + -24. Let f = x + -0.490027. What is f rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 47*y + 51*y - 16 = 0, 0 = -2*y + 8. Solve h = 50*n - 71*n + 105 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2571 is divided by 338?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 - -2) - 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3))**(-26)*(c*c\/(c\/(c\/(c\/(c\/c**(-2\/3))*c)))*c)\/c**(2\/3) assuming c is positive.\nAnswer: c**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17\/668?\nAnswer: -17\/668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = 2*d, 0 = -5*d + 9*h - 42 - 66. Is d >= -174\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.75518*-0.1\nAnswer: -0.275518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12333?\nAnswer: 3, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -55. Suppose 0 = -5*l + 15, 0 = -3*z - 2*z + l - p. Sort -1, z, -2.\nAnswer: z, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Let z(u) = u + 1. Let y be (2\/(-4) + 0)*-8. Let f be z(y). Sort 2, f, a.\nAnswer: a, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 67, 1, 0, -5 in increasing order.\nAnswer: -5, 0, 1, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3. Suppose -3*f + 3*q = -12, 3*f - 2*q - 11 = -2*f. Let h = t + f. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/18)\/((-39)\/(-117))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-two fifths of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -4, 4, -5 in descending order.\nAnswer: 4, -4, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3. Let n be w(1). Let a be (n - 0)\/(2\/(-122)). Let q = -42 - a. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20243*b**5 + 2*b**3*c - 2*b**2 + 344*c + 3 wrt b.\nAnswer: 1214580*b**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (47 - 399\/9)*(0 + (-9)\/(-84))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88403238 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/263 (b) 1\/8 (c) -0.5 (d) -5 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 14*p**2 + p - 14. What is n(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16517 and 3569.\nAnswer: 710231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 120*v**5 + 772*v**4 + 852*v**3 - 92*v**2 - 252*v + 40 = 0. Calculate v.\nAnswer: -5, -1, 1\/6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.549 - 9.549. Sort 0.1, 247, q in increasing order.\nAnswer: 0.1, q, 247","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -284, -290, -304, -326, -356?\n\"Answer: -4*w**2 + 6*w - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -41*d**3 - 32*d**2 - 23*d - 26. Let u(k) = 15*k**3 + 11*k**2 + 8*k + 9. Let r(m) = 11*u(m) + 4*w(m). Determine r(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -333\/8. Let i = 6 + -5.6. What is the biggest value in x, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4900942 is divided by 1225208?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -14. Let u be 1\/(15\/9 + -3). Is u <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 - 21496910*t - 23105856977405 = 0. What is t?\nAnswer: -2149691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162932 + -115308. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248 divided by 62.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -565 by 113.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.476903 millilitres?\nAnswer: 0.004476903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 12*l - 4400000. What is l rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 3, a: 8, q: 3, j: 5}. Give prob of sequence aq.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 11:34 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m - 3*m**3 - 5*m**3 + 2*m**2 + m**3 - m**2 + 4 + 9*m**3 to o*m**2 + x + j*m + v*m**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.3, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + j - 634 = 2*j - 583, 11*x - 2*j = 187 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 1, w: 1, a: 11, t: 3}. Give prob of picking 1 t and 1 s.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364 divided by -2?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -20*u + 48 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 3114*w**2 - 8*w - 12456.\nAnswer: 2*(w - 2)*(w + 2)*(w + 1557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*y + 118 - 133, 0 = y + 3*k - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -144.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4352 + 4366. What is the second biggest value in 3, -2\/13, m, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 170*n**2 + 456*n - 77496. Calculate p(170).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4758, -3, -2.6 in increasing order.\nAnswer: -4758, -3, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 343*z**3 + 8*z**2 + 120*z - 1333. Is w(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53 - 1578?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + c7?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.183 + 136.817. Let l = u - 137. Which is the nearest to -0.2? (a) 0.4 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose r = -0*r + 38. Suppose v*j + r = 4*j. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 2*m + 1. Let s be u(3). Suppose 6*r = 2*t + 2*r - s, 0 = 4*r - 16. Calculate the remainder when 73 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o - 3. Let q(t) = -2040*t**2. Give u(q(l)).\nAnswer: 30600*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-2)*(-5)\/(-14). Suppose -12 = -q - 3*q. Suppose q = -3*o - 9. Sort o, k, -0.4.\nAnswer: o, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -252.518?\nAnswer: -257.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(8) + 0)**2 + (sqrt(128) + -4*sqrt(128) - sqrt(2)).\nAnswer: -24*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0\/(-3) - 1)*-16 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = -0. Let u = -4 - -34. Let c = u + -25. Which is greater: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 10*r**2 - 15*r + 2. Let b be s(8). Factor -i**3 - 20*i + 0 - 5*i + 0 + b*i**2.\nAnswer: -i*(i - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 + 120. Let s be (-6)\/14 + (-51)\/(-21) + -5. What is the remainder when m is divided by (0 - s\/(-9)) + 200\/6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + n**2 - n - 4. Let p be t(3). Differentiate 19*s - p - 16*s - 29*s with respect to s.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 76 = 5*q + o, 0 = -q - 3*o + 4. What is the smallest common multiple of q and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27481 - 27477. Solve 2*g = 0, n + 5 = -b*g + 8*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -786 + a2?\nAnswer: -6b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 201398 or 201592?\nAnswer: 201592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/239318 and 43\/18.\nAnswer: 2153862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -740000 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21011001201 (base 3) to base 13\nAnswer: 4c0a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4158 is divided by 302.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -972 + 5*c - 4*c + 934 - 4*c to g + d*c and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooutjqojjoqjqu. What is prob of sequence tuu?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:55 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45988, -91992, -137996, -184000, -230004, -276008?\nAnswer: -322012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, w: 10}. Give prob of picking 4 w.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/8)\/((-322)\/12*((-979)\/(-77) + -14))?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384690 divided by 6?\nAnswer: -64115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2812997 is divided by 216374?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1. Let l be (3 - 14\/4)*-2. Let a(i) = -7*i**2 + 2. Let h(k) = l*a(k) - 2*c(k). Let d(f) = 6*f**2. Determine h(d(g)).\nAnswer: -252*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 13*q**2 + 42*q + 9. Determine h(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 25*n + 7. Let z be (-471)\/(-21) - (0 + 4\/(-7)). Let m be f(z). Round m to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -449 > -13\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l. Let i be k(2). Let f(h) = h**2 + 3*h + 4. Let q be f(-3). Is -3 + i*q + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 3*l**5\/5 - 10*l**3\/3 + l**2 - 56. Find the second derivative of h(o) wrt o.\nAnswer: 36*o**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**6 - 22*v**3 - 9*v**2 - 11.\nAnswer: 360*v**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1894*z - 51. Let s(l) = 2*l. Determine s(k(m)).\nAnswer: 3788*m - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.44 + 1.44. Which is bigger: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 + -10122022?\nAnswer: -10201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*u + 16. Let o be -1*(-3)\/((-3)\/u). Solve o*y - 4 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/9, 125, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 1, w: 1, e: 2, r: 2, s: 1}. What is prob of picking 1 v and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -r, -3*r - 3*r + 2*r = 16*k + 29*k + 2*k - 2088 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, -17, -123, -251, -401, -573?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281462 + 213253 = 11505*o for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -485 + 487. Let b = 0 - -4. Let z = b - 6. Put r, 4, z in ascending order.\nAnswer: z, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -165, -325, -475, -615, -745, -865?\n\"Answer: 5*s**2 - 175*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, 1\/10, -5, 0.003?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/120 - 2*r**5\/15 - r**4\/8 + 7*r**3\/6 + 57*r**2. Calculate m(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 3:00 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in 2, -2\/9, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2403090419 to the nearest integer?\nAnswer: 49021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6409 times -144.3?\nAnswer: -924818.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57540 is divided by 1050.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2351*y**2 - 10169*y.\nAnswer: -4702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -2 - (1 - (40 + -75 + 36))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 826.1147cm in meters?\nAnswer: 8.261147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -25498.6038 to the nearest ten.\nAnswer: -25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 47*v. Let s(i) = 343*i + 331*i - 710*i. Calculate s(y(o)).\nAnswer: -1692*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187054954.\nAnswer: 2, 93527477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -345\/76 or -6?\nAnswer: -345\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 6, w: 1, g: 5, s: 3, u: 3}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2204 by 551.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -561*f + 17. Let x(s) = 7*s - 3. Give k(g) + 5*x(g).\nAnswer: -526*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (35 - 71) + 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2512547 times 0.42\nAnswer: 1055269.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/180)\/(8\/256*14)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 359.\nAnswer: 22\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(2\/21)*l))**(4\/33))**27 assuming l is positive.\nAnswer: l**(-24\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, 0.06, -83?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-4*-3)**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 403812 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1791835*m**2 + 2 - 1791837*m**2 - 8 + 5.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 884.5694t to milligrams.\nAnswer: 884569400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17074435 divided by -3414887\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uttu when four letters picked without replacement from {u: 2, t: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7238767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.44 * -1.95.\nAnswer: 6.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146 - -145.8. Which is the third smallest value? (a) m (b) 0.5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 13 - 5 = 2*v, -5*v + 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/18764533 and 39\/475?\nAnswer: 469113325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + -0.1. Let m = 0.5 + -0.1. What is the biggest value in -0.2, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*s = 4*d - 52, 0 = -3*d + 4*s + 39. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3425 from 0.1.\nAnswer: -3424.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 241201021?\nAnswer: 241201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - 2 - (-3)\/(-1). Find the second derivative of 0*t**o - 5*t + t**4 + 3*t**5 - t**4 wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 100. Determine d(-61).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 23 = -25. Let f be (z\/(-16))\/((-1)\/4). Suppose f*t + 1675 = -5*x, 0 = 3*t + 2*x + 345 + 1333. What is t rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21274 (base 9) in base 6?\nAnswer: -145104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 54393612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 12*t - 10*t - 37554, -6*h - 5*t = -45070. List the prime factors of h.\nAnswer: 2, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 1. Let q(t) = t**2 - 12*t - 23. Let o(h) be the first derivative of 4*h**3\/3 - 37*h**2\/2 - 68*h - 3. Let w(d) = x*q(d) - 2*o(d). Factor w(k).\nAnswer: -(k + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/60 + a**4\/12 + a**2. Let s be y(-2). Let z(r) = 341*r - 4094. Let o be z(12). Sort o, s, 5.\nAnswer: o, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 - 40*n - 351 = 0. Calculate n.\nAnswer: -27, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let v(h) = -11*h. Let o(q) = -130*q. Let l(z) = 3*o(z) - 35*v(z). What is 3*l(f) - 21*x(f)?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -313416268 and -0.5.\nAnswer: 156708134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 + 121*d - 690. Let h be w(6). Which is greater: -87\/82 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5 and 17\/6355?\nAnswer: 6355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 + 5 + -4. Solve s + 1 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g + 4, n - g - 155 = 0. Let q = n + -89. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -849 = -17*b - 288. What is the greatest common divisor of 66 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3451, 6889, 10325, 13759, 17191?\nAnswer: 20621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9126468?\nAnswer: 2, 3, 13, 19501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5*(-12)\/(-10)*((-34517)\/(-21) + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odd when three letters picked without replacement from {d: 3, y: 12, o: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r - 1551 = -37*r. Is r smaller than -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 2*o + 8*o. Let j be t(-3). What is the units digit of (-25)\/(-3) - (-2)\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**4 + 4057 + 456167712*k**3 + 3359 - 456169553*k**3 wrt k?\nAnswer: -8*k**3 - 5523*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 477*f**2 + 217988*f - 472. Give q(-457).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 16, n: 4}. What is prob of picking 4 n?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -3 - -11) + -1 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 3*r**2 - 7*r - 1. Calculate w(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 24*a + 35 = 0. Solve -y + 3*z - 5 = -z, -a*y - 2*z = -19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -18, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -31*z**2 - 72*z + 5. Let w(v) = 16*v**2 + 34*v - 3. Determine 4*o(f) + 7*w(f).\nAnswer: -12*f**2 - 50*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1366 + 69377\nAnswer: 70743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/24 (c) -1\/8 (d) 96.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3*i - 2)*(-2*i - 2 + 2)*(78 + 15*i - 78) in the form k*i**3 + v*i**2 + h*i + t and give k.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-4 - -3))\/1. Solve -y - 3 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.89 times -0.1324?\nAnswer: -2.765836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 4*d**2 - 23*d - 21*d - 3*d**2.\nAnswer: 2*d**2 - 44*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/101)*(r*r**(25\/4))\/r)\/((r\/(r**(-27)\/r))\/r*r**(-1\/2)) assuming r is positive.\nAnswer: r**(-8593\/404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66170, -66172, -66174, -66176?\nAnswer: -66178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 273 - -6144260?\nAnswer: 6144543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1976604 and -3?\nAnswer: 3.1976604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2882204 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {r: 3, j: 7, n: 3}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*d - 3*n + 7*n, -3*d + 20 = -5*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.9 (b) -14\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1 and 28864690.\nAnswer: 28864688.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 2, 4, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/12 + z**3\/3 + z**2\/2 - z. Let l be n(-4). Suppose -l - 2 = -g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33258887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 875*p**2 - 20*p - 895.\nAnswer: 5*(p + 1)*(175*p - 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 760040 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.0584 (c) 43 (d) -3\/97 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhcspkhmspmhh. Give prob of sequence ck.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n + 5. Calculate o(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -3.75 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, d: 2, v: 1, u: 3}. What is prob of picking 1 a, 2 d, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**6\/360 - t**4\/8 + t**3\/3 - t. Let a(o) be the second derivative of h(o). Differentiate a(w) with respect to w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104102 = -3*g + f, 3*g - 3*f - 52945 = 51167. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l - 15 = -32*l. Suppose -4704 = -l*t + 3*x - 1132, -5*x - 3570 = -5*t. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*h - 159*h - 94*h - 160*h - 138*h.\nAnswer: 124*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-7) + (3\/(-3)*-12)\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:29 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 60. Round v to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from lppvwpdpdwdlvlpdlpdp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 519173 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 + 4 + 729*r**4 - 12*r - r**3 + 11*r**2 - 367*r**4 - 365*r**4.\nAnswer: (r - 2)*(r - 1)**3*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 948996.4 milliseconds to microseconds.\nAnswer: 948996400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-9) - ((-38899)\/(-1008) - 21). Is t <= -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let y(x) = -18*x + 11. Let o(d) = 5*n(d) + y(d). Let j be ((-1)\/2)\/((-2)\/16). Let f(p) = 6*p - 5. Let u = 9 - 0. Give j*o(g) + u*f(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 29*b**2 + 16*b - 14. What is the thousands digit of h(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/101 and -71\/8.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 10220, 27156, 50866, 81350?\nAnswer: 118608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143*g**2 - 715*g**2 + 5*g - 75 - 131*g**2 wrt g?\nAnswer: -1406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 36 + l**2 + 4*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 15, -3*j - 21 - 9 = -3*l. Suppose -3*u + 7 = 5*n - l, -4*u - 4 = n. Suppose 0 = -4*i - 9 - 7, -3*i = -n*s + 84. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*h*k*s**3*y**2 - 527*h*k*s**3 - 4*k*s**3*y - 5*k*s**2 - 8*k*s*y + k*y**2 + 3*k*y wrt h.\nAnswer: -17*k*s**3*y**2 - 527*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**4\/3 - 6652*z**3\/3 + 916280*z**2 + 4650384*z - 5564448 = 0. Calculate z.\nAnswer: -6, 1, 834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7449218597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/20*5\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -916 by 230.\nAnswer: -458\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6393 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from nffnffnfff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-2 - -13) + -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1964 - 1967. Let l = 4.1 + 0.9. What is the second smallest value in l, 0.4, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/23, -15, 281204?\nAnswer: 281204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -84192040, -168384086, -252576134, -336768184, -420960236?\n\"Answer: -v**2 - 84192043*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(768) - (sqrt(12) - (-1*sqrt(120) - sqrt(120))\/sqrt(10)))\/((sqrt(32)*1*-1)\/sqrt(8)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(sqrt(76) + 2).\nAnswer: 3 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -370 + 369.94. Let t = -154\/205 - 2\/41. Sort 2\/17, -15, t, f in decreasing order.\nAnswer: 2\/17, f, t, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -140 + 20. Let c(x) = 87*x**2 - 2*x. Let y be c(1). Let r = u - y. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712466*n - 356248*n - 356214*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.029? (a) 0 (b) 5 (c) 0.5 (d) -4010\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89415115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 13) in base 14?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-18))\/(2\/(-24)). Let i(j) = j**2 + 2*j - 2. Let d be i(-4). Let n be (-20)\/3*d\/(-5). Calculate the greatest common factor of h and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, -1.63, 81.9, 2 in ascending order.\nAnswer: -1.63, 2, 81.9, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63 and 0.4.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1087*n = 1135*n - 606960. Does 34 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 248 = -14*x. Let a(z) = x*z + 6 - 9*z + 0*z + 0. Determine a(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -865.506 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3215033 and 105.2654?\nAnswer: 3214927.7346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -17*n. Let d(s) = 10331*s**2. Determine d(m(o)).\nAnswer: 2985659*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:09 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-22)\/2)\/(702\/(-99) + 7) and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1380696 and -57\/16.\nAnswer: 2761392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2455 and 143863.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15661*n + 1915021 = 1111*n + 797*n for n.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:18 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200713?\nAnswer: 200713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 337.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 113187 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 121099 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**7\/1470 - l**6\/420 - l**5\/140 + l**4\/42 + 2*l**3\/21 + 1079*l**2. Factor z(v).\nAnswer: (v - 2)**2*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(8))**2*4.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 4, 52, 11586 in decreasing order.\nAnswer: 11586, 52, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/84 - 5766\/(-21). Calculate the greatest common factor of 200 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9257176*z - 8. Let t(r) = 1028575*r + 1. Let o(l) = -3*s(l) - 28*t(l). Let b = -6 - 1. Let m be o(b). What is m rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*z = 9 - 4, -4*v - 4*z = 4. Let n(u) = u**3 - u - 1. Determine n(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*y**4 + 5*y**3 - 10*y**2.\nAnswer: 5*y**2*(y + 1)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 813 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**4 - t**2 - 5 - 4*t**3 - t**4 - 5*t**2 + 6*t**3 in the form m + i*t + u*t**3 + k*t**4 + b*t**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -503, 5, 1\/2, -1\/6, -2?\nAnswer: -503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let x be 4\/(-2)*-9 - 3. Let q(t) = t - x + 15. Determine z(q(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkkfbxskkkkb. What is prob of sequence sx?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 33*n - 1. Let v be h(1). Suppose -3*l = -v - 94. Calculate the remainder when l is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.48 - 22. Let f = 917.48 - 893. Let m = d - f. What is the second biggest value in m, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**4\/24 - z**3\/3 - z**2. Let h be (-12)\/21 + 75\/21. What is q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-2))\/(2695\/13860)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1161440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -181*i + 29*i + 7438 - 25830 for i.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/((-1)\/21). Let y = 17 - f. Suppose -80 = -4*k + 3*a, -y*k - 60 = -6*k + 2*a. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71744 + -35597. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311610 (base 7) to base 14\nAnswer: 156b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*t + 36586, 4*a + 48733 = 8*a + 3*t. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, 4, 2\/7, 0.029, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10758 and 462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s + 3. Suppose 3*v - 11 = -5*j, 0 = 2*j + j + v - 5. Let n be b(j). Factor -301*g**3 + 317*g**3 - n*g**5 + 4*g**5.\nAnswer: -4*g**3*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3285954 and 22.\nAnswer: 36145494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 4*m**2 + m - 2. Let u be p(-3). Suppose -3*z = -9, u = -0*f - 5*f - 2*z. Let o(h) = -3*h**3 - 4*h**2 - 2*h + 2. Is 4 a factor of o(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**2 - 244728*l\/5 - 146844\/5 = 0?\nAnswer: -3\/5, 12237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**9)**(-3\/2))**46)**(-6))**23 assuming q is positive.\nAnswer: q**85698","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) -13 (c) 83 (d) 2\/3 (e) -0.26 (f) 1 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -68710 rounded to the nearest 1000?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54892572733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.83191 microseconds to milliseconds.\nAnswer: 0.06783191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -8 + (0 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*o + 1. Let x(w) = w + 6. Is x(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**2 + 15*i + 5. Let y(t) = -5*t**2 - 8*t - 3. Suppose 3*q + q = 24. Let p(f) = q*w(f) + 10*y(f). What is the second derivative of p(j) wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and (219 - -6)*-12*(-7)\/105?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - (4 - 1) - -2. Find the third derivative of 2*i**5 - 2*i**n + 4*i**6 - 3*i**6 + 3*i**2 wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 388491, 388490, 388489, 388488, 388487?\n\"Answer: -r + 388492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419543650.\nAnswer: 2, 5, 8390873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 264*b = -262*b + 18, 4*b = k + 13 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(-20)*20\/30*-2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1128*m - 37222. Calculate p(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12182*z - 6098*z - 9 = a + 6098*z, -5*z - 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 5*v**3 + 0*v**3 - 2*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/6)\/(6\/16 + 0). Let u be f + 3\/12 + (-62)\/(-8). Suppose 2*y + u*y - 102 = 0. Do 19 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, c: 2}. What is prob of picking 2 o and 2 c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 73. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/(-6))\/(58\/112 + (-16 - 2331\/(-147)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**4\/12 + q**3 + 9*q**2\/2 + 13*q. Let p be y(-4). What is the nearest to -3 in 4, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g - 3*d = -15, 0 = 2*d - 6. Suppose g*m + 0*m + 6 = 0, -193 = -5*p - m. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132072 and 1188.\nAnswer: 13075128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 7*t + 672. Suppose 3*i = 5*i, 3*i = 4*c - 96. What is the highest common divisor of c and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173550 + 14*x**2 + 9*x**2 + 173550.\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 9 + 8)*(-5*j + 15*j - 153 - 12*j) to the form w + n*j and give w.\nAnswer: -1071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/44768703 and 107\/7784.\nAnswer: 358149624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.77 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/119, -0.1, -1\/76 in descending order.\nAnswer: -1\/76, -2\/119, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493733 - -2070.19798?\nAnswer: 495803.19798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/170*-4*2\/(-7)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 481*h - 3. Let v(s) = -16835*s + 104. Calculate -104*c(d) - 3*v(d).\nAnswer: 481*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.37 + 0.36969. What is j rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to 49483075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**3 - 5*j**2 + 5*j + 3. Let b(d) = -4*d**3 - 3*d**2 + 3*d + 2. Determine 5*b(g) - 3*h(g).\nAnswer: g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 7*r = 5*d - 24, 5*d - 27 = 4*r. Suppose d*v = 6 + 117. Let m = v - 36. Solve -m*z = -17 - 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 902*f**2 + 13808*f**2 + 9155*f**2 + 20728*f**2.\nAnswer: 44593*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02439415583 rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 1107 - 1111 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, 2370 in decreasing order.\nAnswer: 2370, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 323. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391887717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(2\/3))**(6\/7)*((x*x*x\/x**(1\/5))\/x)\/x**(-9))**(-49))**(-13) assuming x is positive.\nAnswer: x**(35308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -481 - -731. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*w**3 - 53*w**2 + 1300 with respect to w.\nAnswer: -27*w**2 - 106*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13867071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + 21\/7)\/((-3)\/(-8)) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 8*r**2 - 352*r + 4213. Calculate n(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1584) + 0 + sqrt(1584) + sqrt(1584))**2 + (1*sqrt(1584) + sqrt(1584))*2)*3.\nAnswer: -936*sqrt(11) + 42843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12129227 is divided by 728.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 57*x - 7. Let q(d) = 19*d - 2. Give -2*p(t) + 7*q(t).\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 247, 4, 63 in descending order.\nAnswer: 247, 63, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**7\/168 + 29*r**6\/240 - 13*r**5\/20 - 3*r**4\/4 - 5*r**2 - 2*r. Determine i, given that v(i) = 0.\nAnswer: -2\/5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 141948*d - 283901. Calculate r(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -6*o + 2*o + 288, -2*y - 2*o - 126 = 0. Let l be 3\/(-6) - (-629)\/2. What is the common denominator of 13\/7 and 2\/5 + l\/y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -175*w + 4470. Calculate the smallest common multiple of k(6) and 180.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -86. Let g = u + -13. Calculate the remainder when g is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 45*u**2 - 60*u - 5. Is v(42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(153) + (sqrt(153) - (sqrt(153) + 1)*-2) + 4*(sqrt(153) + -1) - -6*(-1 + sqrt(153) + 5)) + 1))**2.\nAnswer: 69552*sqrt(17) + 1098612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -7. Let i = -3 - q. Let z = 33.068 + i. What is z rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(27)\/(1*sqrt(9)) + -5)*3 - 1*(sqrt(432) + -4*(sqrt(432) + -2 + sqrt(432)))*3.\nAnswer: -39 + 255*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107 - 19 + 151)*(4*p - 2*p - 4*p)*(-3 + 1 + 1)*(-2 + 6 + 0) to the form b*p + q and give b.\nAnswer: 1912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2785 - -0.6785. Let s = 87 - 95.6. Let x = s - r. Which is the smallest value? (a) 1 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 27*j + 172. Determine i(21).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -74*(-3)\/(-78). What is the nearest to 0 in b, 2, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3))\/(t*(t**2\/t)\/t*t))**(-10\/9)*((t**(-4\/3)*t)\/(((t\/(t*((t*t*t\/t**(-1)*t*t)\/t)\/t))\/t)\/t))**(-2\/57) assuming t is positive.\nAnswer: t**(-46\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/2148 and -43\/1432.\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 20 - (-3 - -15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 13*m**2 + 43*m + 601. Give l(-10).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*a + 96*a - 1440. Let k be ((-8)\/(-6))\/(-1*4\/a). Suppose 5*j = -5*j + k. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -672\/55 - -62\/5. Let w(f) = f + 9. Suppose -4*t + 5*d = -2*t - 1, -4*t - 5*d - 43 = 0. Let n be w(t). What is the third biggest value in -2\/9, p, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(416))\/(sqrt(56)\/(sqrt(7)*-1)) + ((2*sqrt(520)*-4 + sqrt(520) + sqrt(520))\/((sqrt(40) - sqrt(40)*-2)\/sqrt(4)))**2.\nAnswer: -6*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68834 to two dps.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1029, -3546, -9039, -18996, -34905, -58254, -90531?\n\"Answer: -248*i**3 - 781*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119138 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -2. Let k be b*-2*15\/(-12). Suppose 2*c - 5*a = 69, c + c + k*a - 59 = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56736296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76840 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 22*f - 3. Let h be y(3). Let s be 1 + (-1)\/(4\/(-8)). Suppose -s*d = 5*t - 61, 6*d - h = -5*t + 2*d. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 42.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from nnntnpnphfpnntnnpp.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -33 + 37 + 18.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 4*2\/2. Solve -4 - d = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1997*w**2. Let m(c) = -10*c**2. Calculate m(d(v)).\nAnswer: -39880090*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*k = -208*k - 115 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4\/11)\/((-441)\/(-4851))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 3:25 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5198*c*k*u**2 + c*k*u - 335*c*u - 40*c - 1241*k*u**2 + 29*k - 1 wrt u.\nAnswer: 10396*c*k - 2482*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*h - 517225, -u + 103465 = -5*h + 8*h. Suppose 0 = 15*b + 865550 + u. What is b rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 7. Let l be x(6). Suppose -5*f = -25 - 20. Suppose y - f = l. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*g + 24*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0.09, -67, -2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-50)\/(-30) + 2\/6. Let f(y) = 2*y**z + 4 + 12380*y - 12380*y. Let w(q) = -q. Give f(w(x)).\nAnswer: 2*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10979888 divided by 556?\nAnswer: -19748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*x**2 - 121*x**2 - 57*x**2 + 9*x - 457*x**2 - 3*x.\nAnswer: -679*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -17 - 8, 0 = -5*i - 2*b. Let a(z) = z**2 + 3*z + 5. Let y be a(i). Suppose -4*s = -m - y, -4*s = m - 8 - 5. Solve 0 = 2*g + m + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {t: 1, k: 2, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.424 hours in milliseconds?\nAnswer: 33926400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:05 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*f - 7*f. Suppose -3*v + 6 = -v, -4*v = -f*o + 118. Suppose -o = -4*z + 87. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2382780982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3 + 105*w**2 - 3*w - 105 = 0.\nAnswer: -35, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-1\/3)*o)*o*o)\/o)**(1\/20))**(-17)\/((o\/(o\/(o**(-3\/8)*o))*o*o)\/(o*o**(2\/17)\/o)*(o*o**(-1)\/o)\/(o\/o**(2\/9))) assuming o is positive.\nAnswer: o**(-6199\/6120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245025 and 5913.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*x - 25*x - 180. Suppose -5*j + 3*q = -261, j + 2*q - x = -0*q. Let m = 172 - 100. Calculate the greatest common divisor of j and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3752352)\/1152)\/((-9)\/48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3*2\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3) - (30568\/(-26747))\/(0 - 12\/(-350))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1754.\nAnswer: -1\/1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b89 (base 16) in base 12?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*-1)\/((-5)\/((-2025)\/(-10))). Suppose -3*p + w = -27. Calculate the highest common factor of p and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3 + 102*r**2 - 729*r + 1350 = 0. What is r?\nAnswer: 3, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287 - 51 - 62 - 57 - 203*t - 58 - 55.\nAnswer: -203*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24c3 (base 13) in base 3?\nAnswer: 21011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123029143 + -123029149.9999987. Let u = d - -7. What is u rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 908409559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:12 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -177, -267, -357, -447, -537?\n\"Answer: -90*i - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v. Let h(b) = 152*b**2. Let f(s) = 13*s**2. Let m(g) = -18*f(g) - 2*h(g). What is m(i(r))?\nAnswer: -13450*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-222)\/(-72) - (-1 + 2). Let r = -7\/3 + t. What is the biggest value in 0.5, -3, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134724 and 2039826.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 66847516 and 66847515 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {q: 2, d: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*k**5 - 80*k**4 - 3189*k**2 - 191*k**5 - 2942*k**2 + 366*k**5 wrt k?\nAnswer: 1500*k**2 - 1920*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 315 + -306. Calculate the highest common divisor of 387 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -297.243 - -297. Let n = w + 0.011. What is n rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 14170\nAnswer: 1\/7085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q. Suppose q = s + 3*s - 12. Which is the closest to s? (a) 0.2 (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -21*i - 324. Calculate l(-18).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -285a4 (base 16) to base 15.\nAnswer: -33e8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 5*k + 32, 2*k + 640 - 630 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) - (-214)\/(-14). Let p = -290 - -223. Let o = t - p. Calculate the greatest common divisor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, 2, -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2358)\/18864*(-784)\/6.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -131580 at least -131580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 38*l - 40*l - 26, -4*l + 3*b = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrjcsc. Give prob of sequence scc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = g - 14*b - 8, -5*g - 5*b = 35 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -610.606 + 0.5.\nAnswer: -610.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*z - 83867 + 42*z + 83862.\nAnswer: 219*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 48*p - 97. Let h be n(26). Solve 0*d - 4*d = 2*t + 10, 4*d + h = -5*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 36*p - 82. Give q(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.031501 and 2224.\nAnswer: 70.058224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = 0, 3*g = v - 3*v + 40857. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5.04. Let q = w - -4.96. Let t = -4.9 + q. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1918 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 15554.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028045692 rounded to 7 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 172 = 2*h, 5*s - 7*s + 68 = h. Find the second derivative of -6*i + 5*i**4 - 17*i + 2*i**2 - s*i**4 - 8*i**4 wrt i.\nAnswer: -468*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -0.2, 5, -0.29, 4.\nAnswer: -0.29, -0.2, 4\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from blmzfmpp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -2*u + 96*u + 1237 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1806 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.57 - -28.57. Let g = -28.52 + y. Round g to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -811*f + 1684*f - 892*f - f**2.\nAnswer: -f**2 - 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**6\/120 + m**5\/15 - m**4\/12 + 2*m**2 - 702. Give c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 111 = -13*a - 20 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010100001010000101 + 11001?\nAnswer: 110010100001010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280\/17 equal to 193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a decade?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouuuooouuuuuu. What is prob of sequence ouoo?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (1 - 6)) + (-6 - -9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*p - 192. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 7*y + 7. Let z be r(-7). Let q = z - 1. Suppose -2*f = f - q. Let b(g) = 3*g + 2. Give b(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 - 3039*q**2 - 322*q + 3039*q**2)*(-5 + 5 + 5*q).\nAnswer: 10*q**5 - 1610*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.148 * 5.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 40*q - 50*q + 90*q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 45, 1, -79, -189?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1945*l**2 - 4962*l**2 - 1 - 17497*l**2.\nAnswer: -20514*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8408212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -29*z + 30*z. Round z to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -5*c + f, 5*c + 28 = -2*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -707 * 0.4.\nAnswer: -282.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 3183997?\nAnswer: -5\/3183997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469420643.\nAnswer: 17, 27612979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8876, -15971, -21282, -24803, -26528, -26451, -24566, -20867?\nAnswer: -15348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 4*w + 54*w - 6*w - 44*w + w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2. Let z(h) = 3*h + 2. Let v(l) = 6*l + 2. Let q(x) = 6*x + 1. Let k(s) = -3*q(s) + 4*v(s). Let c(j) = 2*k(j) - 5*z(j). Calculate c(f(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*f - 3*f**2 + 61*f - 142*f)*(-2*f - 3*f + 4*f).\nAnswer: 3*f**3 + 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 + -54. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - 1.21. Let j = 1.20186 + g. What is j rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + 4*d**2 - 5*d**2 + (-2 - 2 + 3)*(2 - 2 + d**2) + 2 - 2 - d**2 + (7*d - 23*d + 4*d)*(-4 - 3*d + 4).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kooo. What is prob of picking 2 o and 1 k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 235 = 5*x - 293, -5*x + 190 = 5*h. Solve -h*p + 570 - 306 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 503060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b151 (base 15) to base 13.\nAnswer: -31102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -38104?\nAnswer: -7620.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -55. Suppose 5*d + 15 = a, -4*d + 5*d = -3*z + 15. Solve w - z*w = -15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50 + 56 + (-4 - -7) + 391\/(-45) and (-10)\/25 + (-1426)\/(-240)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -47. Let i(n) = 1 + 12*n - 83*n - 105*n + 14*n. Is i(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002027 to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4716234 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*q + 17 = -3*c + 171*q, 0 = 3*c - 2*q + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/10 - 49*l**4\/12 - 3*l**3 - 5*l**2\/2 + l - 19. What is the second derivative of t(y) wrt y?\nAnswer: -12*y - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 217, 231, 245, 259?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 318 = -3*r, 5*r - 2*l = 4*r + 109. What are the prime factors of r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-272)\/340)\/((-2)\/2840). What is the greatest common divisor of 71 and c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 6*q**2 - 4*q + 4. Suppose 2*n + 3*u + 1 = -1, 1 = -n - 5*u. Let t be -2*(n + 7\/2). Calculate p(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 minus -1283?\nAnswer: 1283.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m**2 - 266*m - 104. Give a(27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 9609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 129102.1ml in litres?\nAnswer: 129.1021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 142, 567, 1274, 2263, 3534, 5087, 6922?\n\"Answer: 141*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.56 times -383?\nAnswer: 980.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 246 and 113734?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1400647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from yyyycymycmymmymy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/9 - 138\/(-135). Let p be ((-156)\/(-24))\/(-13)*2. Which is the nearest to p? (a) -2\/9 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/10, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50099639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312, 603, 880, 1137, 1368, 1567, 1728?\nAnswer: 1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -w + 4*r + 115, -3*w + 5*r = -56. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.61 - 0.39. What is the biggest value in 1, -4, h, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54562 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: Product of 1.415 and 0.22.\nAnswer: 0.3113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6475? (a) 0 (b) -5 (c) 3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 12*r + 12*r - 324 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1317 and (((-2)\/(-3))\/(2\/3))\/((-405)\/(-1665)).\nAnswer: 3951","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 17. Find the second derivative of h**3 + 0*h**3 + 5*h**3 - x*h wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 28 + 12 + 0 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -534 + 166 + 176 - 2*j + 179. Let n(i) = -1. Calculate 6*n(o) - v(o).\nAnswer: 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -68544 divided by -6\nAnswer: 11424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105787638.\nAnswer: 2, 3, 11, 48571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 3*d - 1. Let t be h(-4). Is (t + -1)*(-38)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 2. Let d(s) = -32*s**2 + 6. Let t(o) = d(o) + 4*y(o). Let m(v) = -v**2. Calculate t(m(k)).\nAnswer: -24*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phyhyyhp. What is prob of sequence yyp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/30 + 164*x**2. Let p(u) be the third derivative of 29*u**4\/24 - 3*u**2. Calculate q(p(o)).\nAnswer: 1682*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - 3. Let c = 22.2 - 19. Let s = c + 0.8. Sort 1\/3, i, s in ascending order.\nAnswer: i, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 1959949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59140541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 3:30 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.88523l in millilitres?\nAnswer: 35885.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Let g be ((-91)\/(-14))\/13*-2 - (-4 + 2). Suppose g = -h*i + 9. Solve 0 = -3*m - m + i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/10 and 79\/498.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 9:29 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -263354 (base 7) to base 5\nAnswer: -3033420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-161)*14*1\/(-2)*9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Let i(t) = 31*t - 88. Let x be i(8). Let g = x + -145. Calculate the remainder when g is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 23. Let h be y(-7). Solve 2*m = -m - 3*o - 15, -3*o - 13 = h*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*p - 0*g - 2, -g + 14 = 4*p. Suppose -5*r + 4*r + 4*x = 8, 2*x - p = -5*r. Solve 3 = -3*a - r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/85 and -101\/5780.\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -83. Suppose -3 = 4*g - 15. Suppose -4*w = -g*b + 134, 5*b - 4*w = b + 180. Calculate the remainder when l is divided by b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + 3*s + 15. Determine q(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8*f + 6*f + 238 = 0, 0 = -f + 4. Let l = j + 127. Suppose 2*c - 26 = -4*v, -2*v = -3*c + 8*c - 1. What is the least common multiple of v and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 444 + -442. Suppose -9*r**2 + 18*r + 21*r - 9*r**j + 22*r**2 + 29*r = 0. What is r?\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0644407ms to hours.\nAnswer: 0.00000057345575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006 divided by -18?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000080286 rounded to seven dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let x(s) = -4*s. Let w(y) = 5*n(y) - x(y). Let k(a) = -3*a**2. Determine w(k(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612, 621, 634, 651?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041574 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136770?\nAnswer: 2, 3, 5, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 994 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, 18, 147, 402, 825, 1458, 2343, 3522?\nAnswer: 5037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 14\/9 (c) 0.279 (d) -143 (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*q + 66 + 239, -d = q - 153. Suppose -u + q = u. Let z = 160 - u. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/3))**(-6\/17))**(2\/37) assuming h is positive.\nAnswer: h**(-16\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1221316*c**3*v - c**2*v - c**2 + c*v - 72*v - 545 wrt c?\nAnswer: -7327896*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 + 199*p + 173. Determine n(68).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/195286 and 73\/1456.\nAnswer: 1562288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13132 (base 4) to base 3.\nAnswer: 122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 16. Let f be q(-14). Solve 2*p - f + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.33 and 100.393504?\nAnswer: 111.723504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + 2*i + 3*i)*(467 + 586 - 1244)*(0 - 6 + 3) as r + v*i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 - 407 = -3*y, w = -4*w + w - 4*y + 128 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.573 and -38.9.\nAnswer: -216.7897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-6 + (-10 - -8) + -26 + 8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 6*z**2 - 11\/3*z - 8\/3*z**3 + z**5 + 2\/3 - 4\/3*z**4 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.7 - -4.7. Let x = -0.2 - 0.3. Which is the nearest to -2? (a) 3 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**4\/6 - 12*p. Let a(z) = 13*z. Determine a(v(x)).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**3\/6 + 5*w**2\/2 + w. Let k(z) = -2*z - 7. Let m be k(0). What is the remainder when 34 is divided by g(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4662 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 106797668 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42313 + -14544?\nAnswer: 23325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 6*h**2 - h**2)*(-247*h + 91*h + 88*h).\nAnswer: -272*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/50 + 138\/390.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -1 + -1 - 1*1*sqrt(252) - ((sqrt(252) - (-1 + sqrt(252))*-3) + (sqrt(252)*-2 + 4 + sqrt(252) + sqrt(252) - sqrt(252))))*3 + 2)**2.\nAnswer: 756*sqrt(7) + 20461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -0.3 (c) -56 (d) -0.07 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4 - p**2 + 1 - 5. Let z be 2\/3 - (-32)\/24. Let d(f) = -z*f - 3*f - f. Calculate b(d(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -78\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 553462703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 7*i + 13. Let j be v(7). Let u = j + 107. Let t = 9 + u. List the prime factors of t.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -6, 23, 68, 135?\n\"Answer: s**3 - s**2 + 15*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (535 - 1755 + 722)*(6 - 2*q + 1 - 4).\nAnswer: 996*q - 1494","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 192 + 1639. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {z: 1, y: 2, h: 3, r: 1, c: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 + 245*o**3 + 685*o**2 - 245*o - 690 = 0. What is o?\nAnswer: -46, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Let r be (3 - 2)\/(h - -1). Let j(x) = -1. Let p(f) be the third derivative of -f**4\/24 + 4*f**3\/3 + 66*f**2. Calculate r*p(z) + 6*j(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19, -80, -183, -328, -515?\n\"Answer: -21*a**2 + 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87464 and 48.\nAnswer: 524784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 145, 629, 1651, 3409?\nAnswer: 6101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3143378.12 to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (772096\/35520)\/(-116) - 2\/(-15).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*b + 2, 2*q + 3*q = -2*b + 2. Suppose 13 = 4*z - 7. Suppose 0*g - z*g + 25 = q. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 729, 895, 1187, 1605, 2149?\n\"Answer: 63*f**2 - 23*f + 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7705.895 grams to micrograms.\nAnswer: 7705895000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (680\/(-10608)*169)\/((-10)\/18)*2\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -74.1272?\nAnswer: 2.223816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)*n*(n\/(n\/n**(-6\/11))*n)\/n*n)**(-1\/3)*(n**1*n)**24*(n\/(n**0\/n))\/n*n\/(n*n**(-2\/13)*n) assuming n is positive.\nAnswer: n**(13681\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**50\/(g**(-1))**(-16) assuming g is positive.\nAnswer: g**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 169, 439, 899, 1597, 2581?\nAnswer: 3899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 6\/47, 39.53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -5*f**8\/56 + f**5\/6 + 6*f**2. Find the third derivative of a(h) wrt h.\nAnswer: -1800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 26 = -2*u + u, -3*k + 34 = -5*u. Suppose -3932 = -k*o + 4*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhh. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13403, -34581, -69879, -119297, -182835?\nAnswer: -260493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 5*b**4\/9 - 11*b**3\/9 + b**2\/3 - 67*b. Solve h(c) = 0.\nAnswer: 1\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -115.\nAnswer: -114.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 22, 38, 58, 82?\n\"Answer: 2*t**2 + 6*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/32*((-344)\/(-215))\/(2\/(-10)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*j**6*p**3 - j**6*p - 55*j**2 - 3*j*p**3 wrt j?\nAnswer: -11640*j**3*p**3 - 120*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2448)\/612*16\/(-20).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 489 and 70431159.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10270, 20548, 30826, 41104, 51382?\n\"Answer: 10278*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 930815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 257 + -252. Suppose 0 = -a + t*v - 25, -4*a + 5*v = 16 + 9. Is 185 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5762, -4\/5, 0.2.\nAnswer: -5762, -11, -4\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -91132, -729082, -2460662, -5832688, -11391976, -19685342, -31259602, -46661572?\n\"Answer: -91136*d**3 + d**2 - d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -230221 (base 4) to base 13\nAnswer: -13ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123868106 divided by 3?\nAnswer: 123868106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*g*s**5 + 1046*g*s**2 - g - 2*s**4 + 26*s**3 - 2*s**2 wrt s?\nAnswer: 3720*g*s**2 - 48*s + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppa. Give prob of sequence pa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.41709757 to two dps.\nAnswer: 3.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13193*w**2 + 11*w + 1520. Let z(a) = 2639*a**2 + 2*a + 304. Let k(d) = -2*m(d) + 11*z(d). Differentiate k(l) with respect to l.\nAnswer: 5286*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**(-1)\/i*i))*i*i*i**(-1\/3))**(-31))**(-1\/5) assuming i is positive.\nAnswer: i**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 + 157. Solve -2*k = d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by -2.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/11 + 1366*v**3 - 6826*v**2 + 45030*v\/11 + 135144\/11 = 0 for v.\nAnswer: -1, 3, 7508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*u - 656, -4*u + w + 2*w = -628. Suppose s = -l + 22, 2*l - 5*s = -3*l + u. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - 0 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72569118.\nAnswer: 2, 3, 1609, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -109978 divided by -9998?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g + 51 = 0. Let i(f) = -23*f + 22. Is i(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -132*v**2. Let c(z) = 598431*z. Calculate c(w(s)).\nAnswer: -78992892*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.034, 375, -5, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/12 + ((-14)\/(-2) - (-1798)\/(-174)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4 - 5 + 3 + a. Let x be b(-4). Let u be x\/(-2) + (0 - -7). Solve 4*y = -3*p + u*y + 16, p - 8 = 2*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g - 17. Let l be y(4). Suppose 32 = l*k - 3*k. Factor 5*s**5 - 5*s + 6*s**4 - s**k - 5*s**3 - 10*s**2 - 5*s**3 + 5 + 10*s.\nAnswer: 5*(s - 1)**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5\/20 - t**4\/4 + 2*t**3\/3 + 5*t**2\/2 - 9*t. Calculate o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - ((4 - 1) + -4). Suppose 3*w - 393 = -d*u, u + 5*w = 3*w + 80. Let p = u - 30. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3985 - -4062. What is the smallest common multiple of w and 630?\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.601403 minus -3257?\nAnswer: 3257.601403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*t - 270, -298 = -5*n + 3*t + 38. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053055 is divided by 512988.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**5 + 55*o**4 + 180*o**3 + 80*o**2 - 320*o = 0. Calculate o.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) + 81\/(-4). Let k = 21 + u. Let b be (4\/(-16))\/((-1)\/(-2)). Is b < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**7\/350 + w**6\/200 - w**5\/100 - w**4\/40 + 2*w**2. Solve d(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189699 and 407?\nAnswer: 2086689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -29096.\nAnswer: -1\/14548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {o: 12, u: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 9*t - 4*t)*(t - 2*t - t) - 2*t + 2*t + 2*t**2 + (-4 + 6 - 4)*(-2*t**2 + 0*t**2 + t**2).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5970525 is divided by 1625.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 15 = 3*k. Suppose 5*p - 4*w = 85, -2*w + w = -k. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212020 (base 3) in base 6?\nAnswer: -2523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, f: 1}. Give prob of picking 1 f and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3645) + sqrt(45) + (sqrt(6480)*4 - sqrt(6480)))\/((6*sqrt(81)*1)\/(3*-2*sqrt(9))).\nAnswer: -28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 23, 37, 49, 59, 67?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 100, -2*s - 1 = -3*f - 20 - 21 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 82, 93, 108, 127, 150, 177?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*d - 35 = -6*x, -5*d = -5*x. Suppose x = 5*o - 5. Let q be 0 - (-4)\/((-12)\/(-9)). Solve -q*p = o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227830 + 874957 = 101*m - 180467. What are the prime factors of m?\nAnswer: 2, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150.5 - 150.81. What is the closest to -1\/3 in -1\/5, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 1166.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-4) + (348999 - -6). Round m to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*v**2 + 228*v**2 + 23996*v - 23996*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 123 - -19?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 - 182 + 111)*((-1 + 3 - 1)*(-5*q + q + 2*q) + 2*q - 5*q + q).\nAnswer: 800*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -68, -81, -108, -155, -228, -333, -476?\n\"Answer: -m**3 - m**2 - 3*m - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 24*d**2 - 24*d + 44. What is l(23)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-138)\/5)\/(20\/(-50))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 12*t - 2. Let k be m(3). Suppose v + k - 20 = 0. Let r = -5.2 - 0.8. Which is the second smallest value? (a) 0.3 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -43. Let d be 4\/(v + -1) - 1 - -19. Suppose 0 = -d*u + 12*u + 532. List the prime factors of u.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 6, s: 2, e: 3}. Give prob of picking 1 e and 1 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 10. Does 7 divide (-86)\/(-2*1\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 0*q = q + 52 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2679417986297 - -27.\nAnswer: -2679417986270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 3:48 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 + (1 - -6) - -9. Let i be (0 - 2\/4)*0. Suppose i*j + j = 2. Solve -2*z + 13 = 3*u - n*z, 11 = j*u - 3*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -659 - -1050. Calculate the greatest common divisor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*z - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 2:48 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/17 (b) 0.35 (c) 1\/2 (d) -2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68433 is divided by 7562.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-189 + 15 - 61)*(-4*r + 0*r + 2*r)*(4 + 2 - 1) in the form j + d*r and give d.\nAnswer: 2350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 162\/11 + 144\/528. Put -2, -0.5, -1, d, 0 in descending order.\nAnswer: d, 0, -0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (265 - 265 - 8*o)*(-2*o**3 + o**3 + 0*o**3)*(0 - 1 - 1).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**2\/2 - 4*i + 4. Let k be z(1). Calculate the remainder when k\/(-4) - (-75)\/12 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -39 - 41. Suppose -6*u + q = 10. Let h(l) = -4*l**2 - 25*l - 29. Let d(z) = z + 1. Let x(p) = u*d(p) + h(p). Find v such that x(v) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12)*a)**47*a**(-2\/47)\/a*a*a*(a\/(((a**(1\/38)*a)\/a)\/a*a)*a)\/a*a*a*a*a*a assuming a is positive.\nAnswer: a**(-910983\/1786)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1784 is divided by 199?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f = 31*f + k + 1, 0 = -f - k - 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47509840 rounded to the nearest ten thousand?\nAnswer: -47510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 1649a434?\nAnswer: -1649a433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3 - 12 + 45*f - 10 + 25. Let g(m) = 14*m**2 - m. Determine g(a(t)).\nAnswer: 28350*t**2 - 45*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2252 = -0*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332323 (base 4) to base 9.\nAnswer: 12125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/12 - 5\/4. Let a = -1412\/21 + 203\/3. What is the fourth smallest value in 0, a, -1, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**11)**(-2\/41))**8 assuming i is positive.\nAnswer: i**(-176\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*2 + sqrt(66))\/sqrt(6) + sqrt(11) + ((sqrt(11) - (-2 + sqrt(11))) + 5)**2.\nAnswer: 4*sqrt(11) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1970 - -4468. List the prime factors of m.\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**7)**(-4\/15))**(1\/3))**(-37) assuming u is positive.\nAnswer: u**(1036\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(15\/4))\/(31\/8060). Let n = 217 + k. Let i = 42 + -17. What is the remainder when i is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -7. Let f = p + -6.1. Let i = 1.9 - f. Is i greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*c + 626*c - 1188 = 263*c for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5*l - 5*j**5 - 3*j**3*l + 623*j**2*l wrt j?\nAnswer: -60*j**2*l - 300*j**2 - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 5\/6*c**3 + 3\/8*c**4 - 1\/30*c**5 - 132*c**2 - c + 0. Give p(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5169893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/4 - 63\/126?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (3 + sqrt(153) - sqrt(153)))*5 + 5)*-4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*n + 196*n = 2408. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**6\/6 + 13*k**4\/4 - k**2\/2 + 13*k - 9. Find the second derivative of u(g) wrt g.\nAnswer: 20*g**3 + 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 + 2*v - 2*v - 2 - v**4 + 2*v**2 to the form m*v**2 + o*v**3 + i + p*v**4 + q*v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + r - 32 - 20, -2*l = -r - 18. Let i be (2\/(-2))\/((-2)\/l). Let s = 4 - -16. What is the greatest common divisor of i and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1.2, 0.2, 0.1, 28, 4\/3 in increasing order.\nAnswer: -5, -1.2, 0.1, 0.2, 4\/3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6430 - 38449\/6. Let u = 29527\/6 + -4905. Find the common denominator of u and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 622744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123 - 4339*t + 4340*t - 165 to j + o*t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -0.080051?\nAnswer: 2.080051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14741*r - 38478?\nAnswer: -14741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-350)*-110*14\/(-28)*-5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.49 (b) 3 (c) -6 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -413.9484 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -150*y + 1070. What is the lowest common multiple of 240 and d(5)?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20323?\nAnswer: 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -2 (c) 1923 (d) 0 (e) 3\/2 (f) 0.5 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b*n*s**3 + b*n*s**2 - 7*b*n*s + b*n - 3*b*s**3 + 33*n*s**3 - 2*n*s**2 - 30*s**2 wrt s.\nAnswer: -36*b*n - 18*b + 198*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4 = -g - p, -2*p = 3*g + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5530 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 + -49. Let v = y + -83. Sort 1\/5, 1, 0, v.\nAnswer: 0, 1\/5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10230570 and 216520.\nAnswer: 40922280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 458217*p**2 + 9*p - 466708 wrt p.\nAnswer: 916434*p + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let o = 1 + 1. Suppose -q - 3 = -o*q. Let n(y) = 7 - q*y - 7. Determine r(n(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(32\/(-4))*1\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j + 2. Let k(t) = -589*t**2 - 68*t + 6. Let g(s) = -k(s) + 2*r(s). Find the second derivative of g(o) wrt o.\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7331906.\nAnswer: 2, 47, 77999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - p + 19 = 0, -g + p - 7 = 0. Let k = -327 + 371. Let t(z) = z**2 - 39*z - 221. Let u be t(k). What is the closest to g in u, 1, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570385.9mg in kilograms?\nAnswer: 0.5703859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 424060229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72.72 and 831?\nAnswer: -60430.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*y**4 + 39*y**4 + 0*y**3 + 0*y**3 + 2*y**3 - 18 + 2*y**2 in the form p*y**3 + z*y + f*y**4 + a + x*y**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250 - 250 + 5*o**3 + 3*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 - 12\/32*-4. Suppose 0 = -5*a + 13 + x, -d = a - 7. Suppose 3*z = z - d*t + 19416, -3*z + 5*t + 29080 = 0. What is z rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3 - 26*x**2 + 0*x + 93*x**2 + x - 5. What is the tens digit of m(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(-3) - (-2)\/3. Let o(a) = a - 1. Let h(v) = 4*v - 6. Let i(f) = h(f) - 3*o(f). Determine i(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2509 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 - 2. Let z be 2\/60*-3*10\/4. Which is the nearest to d? (a) 0.4 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/(-204) + (-11)\/6. Let d = z + 114. What is the remainder when d is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3928?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -190, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -3, 3, -5 in decreasing order.\nAnswer: 3, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 113 (b) -0.3 (c) -0.2 (d) -4 (e) 48 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5*m - 24, 5*p = -2*m - 0*m - 60. Suppose j = -c + 11, c + 8 = 5*c - 5*j. Let i = c - p. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {k: 1, b: 1, l: 3, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 5*x - 55. Suppose -f - x = -4*m, -m + 3*f = f - 8. Solve -4*h - 4*w + 4 = 0, 9 = -h + 2*w - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75 - 4?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.84 - -0.06. Let z = 0.0300394002 + 5.8699610698. Let j = f - z. Round j to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a49 (base 11) to base 13\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 + 19*h + 1113. What are the prime factors of a(-53)?\nAnswer: 3, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0565 + 0.1565. Which is the closest to 23\/7? (a) 2\/5 (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*d + 75, 3*d - d - 4*s = 60. Is 4 a factor of ((-8)\/(-3))\/(8\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**2)\/(n*n\/(n\/n**3)))**(3\/16) assuming n is positive.\nAnswer: n**(-3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x - 2212*s + 2217*s = 40, s = -4*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/10)\/(3\/(-7340)). What is b rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*l + 20144 - 20144.\nAnswer: 644*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**3*r**3 + 9*i**3 - 2*i**2*r**2 - 11*i wrt r?\nAnswer: -6*i**3*r**2 - 4*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 1. What is f(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 192 + 191*y - 178 - 1658*y to d + n*y and give n.\nAnswer: -1467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11401 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 142*n - 1107 - 2295 = 0. What is the closest to n in 1, -7\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 3541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 1\/7, -44, 2\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5802 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 2\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11043601.\nAnswer: 1193, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/u*u**(1\/35)\/u)**16 assuming u is positive.\nAnswer: u**(-1244\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**3 + 10*g**2 - 4*g - 2. Let c(k) = 6*k**3 - 11*k**2 + 5*k + 3. Let a = 414 + -409. Determine a*t(i) + 4*c(i).\nAnswer: -i**3 + 6*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((2*sqrt(135) - sqrt(135) - sqrt(135)) + sqrt(15) - (2*sqrt(105))\/sqrt(7)))\/((sqrt(2187)*-1)\/(sqrt(9) - ((sqrt(54)\/sqrt(3))\/sqrt(2) - sqrt(9)))).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 883 + -113. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/5 - 21*d**2\/5 + d\/5 + 21\/5 = 0. Calculate d.\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.003 - 509311.\nAnswer: -509312.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s**2 - s. Let t be h(-1). Suppose 17 = 5*a - t. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76731916 a multiple of 2424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -214, -850, -1508, -2188, -2890, -3614, -4360?\n\"Answer: -11*q**2 - 603*q + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (186\/136)\/(-1 + -2). Let u = 12\/17 + h. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27646*a**2 - 9745*a**2 + 6086*a**2 - 14508*a**2.\nAnswer: -45813*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22860, 45721, 68582, 91443?\nAnswer: 114304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4\/3 - 147118*j**3\/3 - 196126*j**2 + 4560550*j\/3 + 10297700\/3 = 0.\nAnswer: -73555, -7, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.192 * -9683.12.\nAnswer: 1859.15904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 14*k**5\/95 + 22*k**4\/19 + 178*k**3\/57 + 64*k**2\/19 + 24*k\/19 - 14. Find w, given that n(w) = 0.\nAnswer: -3, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*p + 12. Suppose 0 = -3*n + 6, -h - n = -p*h + 2118. Suppose 11*s - 291 = h. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 27488544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o - 33304 = -693*o for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in -0.12, 518, -0.2, 1.1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3712559, 3712558, 3712557, 3712556, 3712555?\nAnswer: 3712554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 101\/9. What is the closest to 0 in n, 1, -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(6\/31)\/(s**(-2)*s*s**(-6\/11)) assuming s is positive.\nAnswer: s**(17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 18 + 9*v**2 + 10.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -75*m - 278 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (135\/(-9))\/(2\/4). Suppose 4*t = -24 - 84. Let z = t - v. What is the biggest value in z, -1\/5, -1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 67.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Suppose -5*d - 4*i + 134 = t, 4*d - 2*i = -0*d + 102. Calculate the remainder when ((-2 - -4)*(-1836)\/(-36))\/2 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*l - 9, 4*q - 8 = l + 4. Suppose 0 = -10*y + l*y + 234000. Round y to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6623 + -6620. Let x(z) be the first derivative of 1\/5*z**4 - 19 + 11\/10*z**2 - 13\/15*z**j - 2\/5*z. Suppose x(g) = 0. What is g?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98484187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-44)\/(-4)*(-230)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 6*b**2 - 3*b + 4. Let g be i(6). Let z = g + 19. Factor -z*k**4 + 3*k**4 - k**4 + 5*k**2 + 4*k**2 + 6*k.\nAnswer: -3*k*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-80))\/((-81)\/81)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7197 is divided by 898?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/180*10)\/(-2 - 84\/(-40)). Solve 4*b = -u + 15, u + p = 5*u + 5*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 25100 - 25100.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 116*c**3 - c**2 + 2*c + 2. Determine x(-1).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 530367\/5434220 - 1\/247010. Find the common denominator of q and -77\/2516.\nAnswer: 27676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 + 4*f**2. Let h(v) = -4*v**3 + 9*v**2. Give 3*h(a) - 7*r(a).\nAnswer: 2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 7:37 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nzbnpgpnnb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 19*s - 8*s. Let v(d) = d**3 - 9*d**2 + d - 6. Let n be v(9). Let k be (2 - 5)\/((-4)\/((-60)\/n)). Put 4, s, k in descending order.\nAnswer: 4, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5*x + 35, -4*m - 3 = 5*x - 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54144 + 135856 = z. What is z rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96268499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484843?\nAnswer: 137, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 10:23 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4 - 96706099*q**3 + 21*q**2 + 13376270.\nAnswer: -24*q - 580236594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -30*z - 13. Determine o(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224*h**4 + 17*h**3 - 3*h**3 + 226*h**4 + (2 - 3 - 1)*(0*h**4 + h**4 - 3*h**4) to k*h**2 + f*h**4 + y + d*h**3 + u*h and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*y - 101*y - 7030. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1299135 and -53\/116421.\nAnswer: 196169385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*u**3 - 5*u**5 + u**4 - 29*u**3 + (0*u + 0*u + u)*(-u**4 - 2*u**3 + 2*u**3) + 5*u**5 + 5*u**5 + 11*u**5 - 2*u**4 - 2*u**5 + 2*u**4.\nAnswer: 13*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 238*a**3 - 970 wrt a?\nAnswer: 714*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Suppose -7*b = -l*b. Solve -4*i + b = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437671193?\nAnswer: 71, 6164383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68509\/12 + 5705. Let r = 333\/2258 + 46450041\/18064. Let x = -2573 + r. Find the common denominator of p and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 5 (c) -20 (d) -568 (e) -2 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((((-21)\/(-18))\/7)\/(-1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3954926 to the nearest integer?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1668 and 1.\nAnswer: -1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 18*g**2 + 38*g - 14. Give r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79068487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 12*d - 1621 = 3*b, 0 = 3*d + 12. Let y be (2\/(-4))\/(2\/1024). Let k = y - b. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 8722.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*l**2 + 72848*l - 24284.\nAnswer: 4*(l + 6071)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -9. What is the units digit of (-8)\/(-36) - (-367)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 12.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.4752381mg?\nAnswer: 475238.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 48937, -2\/11, -5, 4, 2 in decreasing order.\nAnswer: 48937, 4, 2, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 1:25 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 1, 26, 85, 190, 353, 586, 901?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 1:28 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -36?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/5 + (-18)\/(-120)*4. Suppose m*g - 15 = -3*n, 0*n = n - 2*g - 2. Solve 3*f - 2*r = -n*r + 10, -3*f + r - 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 + 5*d. Let n(k) = -636*k**2 + 1274*k**2 - k - 637*k**2. Give -3*i(a) - 15*n(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -54 and 4985962862130?\nAnswer: 4985962862184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 + 4*h**2\/5 + 4*h\/5 - 16\/5.\nAnswer: -(h - 4)*(h - 2)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430761 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {j: 1, m: 1, q: 5, c: 12}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6907242241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 911577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -8. Suppose t*q - q = -3*d + 192, -2*q = -4*d + 258. Let b = -30 + d. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/60 - j**3\/6 + 5*j**2\/2 + 39*j. Let u(d) be the second derivative of w(d). Let f(k) = -83*k**2. Give f(u(y)).\nAnswer: -332*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 353210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {s: 7, y: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o = 0. Let d(f) = f**3 + f**2 - f + 5. Let u be d(o). Find the third derivative of b**2 + b**2 + b**u - 3*b**2 wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 2 in descending order.\nAnswer: 10, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444 is divided by 82.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313506*i - 313506*i + 6*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 1\/4*k**4 - 2\/3*k**3 + 0*k + 0*k**2 - 4 - 1\/6*k**6 + 2\/5*k**5. Factor m(r).\nAnswer: -r**2*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3022*b**3*l**2 - 34*b**2*l**3 + 699108*l**3 + 5 with respect to b.\nAnswer: -9066*b**2*l**2 - 68*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/3))**27*(j*j**(2\/3))**(-5\/13))**(-9) assuming j is positive.\nAnswer: j**(-4137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 74. Solve b = -p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -39. Let j = v - -27. Suppose j*d + 30 = 5*d. What is the smallest common multiple of 8 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61 and 116.\nAnswer: 7076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18038*h**2 - 36079*h**2 + 18036*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-22)*32*9\/1008?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + 8*b - b - 2*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 370 + bb?\nAnswer: 46b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 11*f**2 + 9*f - 24. Give s(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12061 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**2 + 279*u + 358. Determine y(41).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**2. Let z(x) = 3*x**2. What is z(w(o))?\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4*h**2 - h**2 + 4*h**2)*(-3*h - 1 + 1 + 2*h**2) to the form q*h**2 + c*h**3 + s*h + o + d*h**4 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 13. Let o(r) = 4*r**3 + r**2 + 1. Let h be o(-2). Let c be 3\/u*(h + 1). What is the greatest common factor of 65 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -4. Let h = -6 - u. Let k = -1.6 - h. Which is the second smallest value? (a) -0.2 (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + z + 32. Let b(h) be the second derivative of 2*h**3\/3 - 13*h**2 - 66*h. Let t be b(7). Solve 0 = -z*d - t - 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11631, 11586, 11513, 11412?\nAnswer: 11283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 4. Let a(q) = 3*q**2 + 2*q - 58. Let i be a(-7). Suppose 0 = n + z*n - i. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1101939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1.6, 5, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.7 + 78. Let m = -43.5 + x. Which is the closest to 204? (a) -1\/7 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 2, 3.3, 3.12336, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60114 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.158 rounded to 1 dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/4 - ((-5)\/(-2) - 1). Suppose -p*j - 1\/2*j**2 - 1 = 0. What is j?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 1\/36*j**4 + 13*j**2 + 1\/540*j**5 + 0*j**3 + 0 + 0*j - 1\/1080*j**6. Factor n(s).\nAnswer: -s*(s - 3)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -502*x**3 + 11959*x + 3634*x**3 - 11959*x + (-2*x - x + x)*(x**2 - x**2 + x**2).\nAnswer: 3130*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, n: 5}. Give prob of sequence nq.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*h = 55*h - 65. What is the highest common divisor of h and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3739, -3452, -3133, -2776, -2375?\nAnswer: -1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22365797466 - 0.6.\nAnswer: 22365797465.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -128*b - 195. What is i(-4)?\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586 = 35*l + 3*s, -3*l + 819*s = 818*s + 54 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 1. Let g(q) = -4*q - 1. Let h(x) = x + 11. Let k be h(-16). Give k*a(r) - 3*g(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11452 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 10*f**2 - f - 10.\nAnswer: (f - 1)*(f + 1)*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-498)\/(-4 - -3). Suppose a - 664 = 5*a - 5*l, 3*a = 3*l - s. Let d = -58 - a. Is 26 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 765 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 592590648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 30*b + 148. Let n(m) = -7*m - 1. Let w(f) = a(f) + 4*n(f). Let y(t) = -23*t**2. Give y(w(h)).\nAnswer: -92*h**2 - 13248*h - 476928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27112.200566 - 16886\nAnswer: 10226.200566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2)\/s**(-9))**(3\/5)\/(s**(-4)\/(s\/s**(-8\/7)))**(-3) assuming s is positive.\nAnswer: s**(-849\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 126\/13*v**2 - 120\/13*v - 2\/13*v**3 - 248\/13 = 0.\nAnswer: -1, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3089*o - 801*o = -16016 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 157*c**2 + 25*c - 8. Is r(-79) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1271120 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/4))**48*l**0*l**(-1\/6))\/((l*l**7*l**(-7))\/(l\/((l\/(l*l*l\/(l*l**1\/l*l)))\/l))**(-25)) assuming l is positive.\nAnswer: l**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(56)\/(sqrt(252) - sqrt(7)) - sqrt(8)) + 1)**2.\nAnswer: -15*sqrt(5)\/2 + 1141\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -59820068 divided by 22?\nAnswer: -2719094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 568 - 569. What is the third biggest value in 0.2, 3\/7, 3, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 1669*y**2 + 656115*y - 75363975.\nAnswer: (y - 1159)*(y - 255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3898 by 2289.\nAnswer: 3898\/2289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 - -36 - (6 + -24 + 5 - -7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 846 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 66958 - 85042 = 0. Suppose 13*u - 9*u - p = 0. List the prime factors of u.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*f = -4*k + 69, -k - 3*k + 11*f - 14*f + 49 = 0 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 3. Suppose -5*b = d - 27, -10 - 10 = -4*b. Let g(c) = -2*c**d + 6 + 0*c**2 + 5*c**2. Let n(o) = -4*g(o) + 9*k(o). Factor n(v).\nAnswer: -3*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d - 1260 = d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39 - -654b1b?\nAnswer: 654ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 5 (b) 1\/3846 (c) 8\/7 (d) 4 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -0.3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*t + 324*t + 33 = 0 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -137*o**3\/6 - 91*o**2\/2 + 21*o + 2. Does 8 divide z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -97, -149, -201, -253, -305?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*m**2 + 31 - 31 + (m**2 + m**2 - m**2)*(1 + 0 + 6) + (-m + 0 + 0)*(60 + 26*m - 60).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/6 + 35*p**4\/8 + 17*p**3\/2 + 297*p**2 + 5*p. Give l(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 15*l + 6 - 33 + 7 + 15 - l**3. Let r be c(-6). Suppose 159 + r = 7*y. What is the greatest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.053, 1\/6, 24 in descending order.\nAnswer: 24, 1\/6, 0.053, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, i: 1, w: 2}. What is prob of sequence wiaw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, -0.02, 2\/19, -0.43646, 0 in decreasing order.\nAnswer: 2\/19, 2\/21, 0, -0.02, -0.43646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/5 of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 4. Let b be g(-3). Suppose -3*v - 2*f + b + 7 = 0, 0 = -2*v - 2*f + 2. Let q(p) = p**3 - 2*p**3 - 3*p - 3 - v*p**2 + 2*p. Give q(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1443003111 + -444?\nAnswer: 1443002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1166, 3922, 8270, 14210, 21742, 30866, 41582?\n\"Answer: 796*h**2 + 368*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 51 = -2*t. Let f = t + -31. Solve 5*l = f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(270) - (sqrt(270) - 1*sqrt(270)) - sqrt(270)) + (sqrt(270) + sqrt(270)*2 - sqrt(270))*-3)\/(sqrt(12)\/sqrt(2)*-6 - -1*sqrt(726)).\nAnswer: -18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26736768.\nAnswer: 2, 3, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8654 + -8650. Solve 0 = -t*w + 39 - 11 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6944.594 millennia?\nAnswer: 694459.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0152 + 3.0152. Let l be ((-2)\/(-8))\/(3\/(-4)). Which is the nearest to l? (a) -0.2 (b) -1\/11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1801640251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/60 + 5*o**4\/24 + o**3\/6 - 2*o**2. Let d(z) = -z**3 + 5*z**2 - 6*z + 2. Let a be d(4). Is 7 a factor of r(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -28*i + 10. Let p(g) = -110*g + 45. Let s(f) = 2*p(f) - 9*x(f). Let q(n) = -7*n. Determine s(q(v)).\nAnswer: -224*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -63. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2592620499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 5*j + 91. Let h be u(7). Are -14 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15849 is divided by 1055?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 21*l + 42. Let h be d(-20). Suppose h*w - 7320 = 7*w. What are the prime factors of w?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/42 + 2\/21. Let v(i) be the third derivative of 0*i**4 - 1\/20*i**5 + 0 + c*i**3 + 2*i**2 + 0*i. Find the first derivative of v(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 167, 296, 405, 494?\n\"Answer: -10*x**2 + 159*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 313042, 313041, 313040, 313039, 313038, 313037?\n\"Answer: -m + 313043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -33*f + 215. List the prime factors of m(-29).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 23. Suppose 3*y + y + 4*u - 40 = 0, -2*y + u = -z. Let r be (-4)\/y + 20159984\/(-24). Round r to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9643 divided by -1.\nAnswer: -9643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**5\/60 - 3*a**3\/2 + 2*a**2. Let y(j) = j**2 - j - 8. Let n(z) = -3*t(z) + 4*y(z). Let l = -2 + 6. Calculate n(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*r + 45 = 0, 0 = -0*w + 5*w - 5*r - 205. Suppose 3*o - 168 = 17*o. Let m = w + o. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4960 + -5195. Which is the third biggest value? (a) 4 (b) -4 (c) -0.7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -222, -493, -862, -1323, -1870, -2497, -3198?\nAnswer: -3967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 0, 0.1, -21\/2, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2979*f**5*t**2 + 2*f**4*t - 4*f**2*t + 3*f**2 + f*t**2 wrt f.\nAnswer: -178740*f**2*t**2 + 48*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 413600430 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 4:33 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(704)\/sqrt(4))*-5 - ((sqrt(275) + 0 - sqrt(275)) + -3 + 3)) + -2.\nAnswer: -5*sqrt(11)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 16*d - 24. What is the highest common factor of d and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6))**(1\/57) assuming j is positive.\nAnswer: j**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kpecejcteeepk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (93\/33 - 0). Determine u, given that 2\/11*u**3 + 0 - 4\/11*u + s*u**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1284 + -1280. Solve 4*s + r = -4, -3*s + 8*r - 7*r + a = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*d = -26, -2*t + 5*d - 10 = -6*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a + 10*a = 0. Suppose a = -15*f + 80 + 220. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 4*l**2 + 5*l - 13. Let o = 196 + -192. Let q be n(o). Solve t = q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*d = -4878, 3*x - 5*x - 3*d + 4876 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -535.988 - 0.012. Let q = -540 - i. What is the biggest value in q, -2\/11, -0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42763080 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) - 273\/(-65). Suppose 3*h - 3*o - 36 = 0, -4*h - v*o = -9*h + 56. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + sqrt(3)*-2.\nAnswer: -10 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeybqeqqbqeqbqqe. What is prob of picking 1 b and 2 q?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000715508 to six dps.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 5*i = 20. Suppose 3*f + 2*w - 31 = -3*w, -i*f + 13 = w. Solve 3*y - 2*k + 19 = 0, 28 = -4*y + f*k + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 5 - 3) + (-2 - -7). Is s less than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -487 + 737. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)\/(117\/(-30) - -4). Suppose o = 5*o - z + 11, 0 = -2*z - x. What is the closest to -0.1 in -2.8, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20278692 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 6*r**2 + 7*r + 1. Give b(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 10*x - 7. Suppose -u + 4 = -2*u + n, -3*u + n - 12 = 0. Let a be s(u). Which is smaller: a or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 11*p**2 + 8*p + 12. Let n = -543 - -318. Let k = 235 + n. What is z(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.3 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13. What is the nearest to a in 5\/3, 18, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1016, -2033, -3050, -4067?\nAnswer: -5084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68? (a) -1 (b) 11039 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3359955 and 2829.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*h + 12, 4*h - 3 - 9 = 4*o. Suppose -3*p - 5*r + 13 + 8 = o, -p + 7 = r. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4*i**2 + 7 + (4 - 4 - 2*i)*(-3*i + 4*i + i))*(-10 + 2*i + 135 + 34) to the form y*i + j*i**3 + s*i**2 + l and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 932553.84 rounded to the nearest 10000?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54, -31, 12, 81, 182?\n\"Answer: h**3 + 4*h**2 + 4*h - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (19 - 22) + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + 1111?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 1.22.\nAnswer: -4.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 149165801 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 365*m - 2910. What is f(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9188054 centuries to months.\nAnswer: 1102.56648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727327.08 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 3*h + 8. Let d be i(7). Let g(v) = v**3 + 34*v**2 + 53*v - 28. Let s be g(-32). What is the greatest common divisor of s and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 9. Determine z(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 1. Let f(c) = c**2 + 14*c - 14. Suppose r + 7*r + 120 = 0. Let w be f(r). Let k be (4 - w)*8\/24. What is g(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 + -68. Let n be 2 + (0 - f\/14). What is the third smallest value in -0.3, n, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 134*l - 121. Let c be i(12). Round c to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:52 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10546514 is divided by 441?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0349 - 0.9651. Which is the nearest to 0.2? (a) 3 (b) -3 (c) -0.4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 4*d + 4. Let j(z) = -1. Let h(b) = 6*b**2 + 21*b + 18. Let o(m) = -h(m) + 3*j(m). Calculate 21*n(v) + 4*o(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2170 - 2149 = -2*u, 3*x = -3*u - 36 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7042425 is divided by 1173736.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, -3\/2, 3, -5\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90449*b**2*w**3 + 2*b**2*w + 2*b*w**3 + 14*b*w - 158686*b wrt w?\nAnswer: -542694*b**2*w + 12*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 4*r - 3. Let b(v) = -2 + 10*v**3 - v**3 - 8*v**3 + 3*v. Let i(l) = -5*b(l) + 4*y(l). Let q = -9 - -11. Determine i(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4) + (-90)\/12. Let j(a) = -14*a - 22. What is the tens digit of j(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925290362?\nAnswer: 2, 462645181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2849*s - 7 + 748*s + 705*s + 698*s + 702*s.\nAnswer: 4*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -64.3 from 0.135.\nAnswer: 64.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 8, p: 2}. What is prob of picking 4 w?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14268?\nAnswer: 2, 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 889921 > 1779841\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -4)\/(-2 - -1). Suppose f = n - 43 + 16. 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 a = 3.1 + -3. Let w = -17 - -28. Let p = 7 - w. What is the closest to 1 in -2\/11, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26)\/(-65)*(-484465)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 17*p + 6. Let r be u(-21). Let m = -88 + r. Suppose -2*b + o + 477 = 0, -4*o - 235 = -3*b + m*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**5 - 32*b**4 + 144*b**3 + 88*b**2 - 460*b + 264 = 0.\nAnswer: -11, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -457912, -915905, -1373898, -1831891, -2289884, -2747877?\n\"Answer: -457993*o + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*c - 28 = 0. Suppose 2*z + 3*z - 50 = 0. Let j = z - 8. What is the highest common factor of c and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/706705 or 0?\nAnswer: -4\/706705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l - 322 = 13*l. Calculate the remainder when 317 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a + 0*a + 4*a - 4*a in the form x + j*a and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40602, 40601, 40600, 40599?\nAnswer: 40598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -14*b**2 - 8*b. Suppose -2*n + 5 + 11 = 0. Let l = 38 + -33. Let v(f) = 9*f**2 + 5*f. Give l*p(z) + n*v(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300871 by -3.\nAnswer: 300871\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1ff (base 16) to base 2\nAnswer: 111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (250 + 103 - 551 + 2*f)*(-13*f + 13*f + 10*f) to w + g*f + x*f**2 and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 12*m + 3*y = 87, -57 = -3*m - 3*y. Suppose 10*j - 13*j - 246 = 0. Let o = j + 169. What is the remainder when o is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) 280\/9 (c) 0.1 (d) -6\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 147504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1180794 rounded to three decimal places?\nAnswer: 2.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/180*58 + 180\/(-216). Let d(z) = -z**3 - 14*z**2 - 20. Let t be d(-14). Let n be (-3)\/(-6) - t\/8. Which is the biggest value? (a) -0.1 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117871040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 4, d: 6, i: 5, v: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 8*h**2 - 7*h - 11. What is v(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 + 2617*s + 2618*s - 5237*s - 3465 - s**5 - 4*s**5 + 4*s**5 + (s - 4 + 4)*(2*s**4 + 0*s + 0*s).\nAnswer: 3*s**5 - 2*s - 3465","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)*x**3*x)\/(x**(-6)*x**(-1)*x*x*x))**(-1\/3) assuming x is positive.\nAnswer: x**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 15*y + 224. Give u(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkrrr. What is prob of sequence rrkr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8130 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 3*a**3 - 5 + a**3 - a + 0 - a in the form h*a**2 + v*a + c + x*a**3 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 7. Suppose 93 = -2*m + 5*m. What is the remainder when m is divided by v\/3*(-561)\/22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 91.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*n**2 - 590526 + 323*n + 590526 to h*n + c*n**2 + r and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2460277 is divided by 13371?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:39 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*m + 3*m = 2, -j = 4*m - 5. Let l(d) = d**2 + d. Let g(v) = -8*v**2 + 22*v**2 + 2*v - 4*v - 17*v**2. Give j*l(h) + g(h).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 + (-124)\/12 + (-1721)\/3. Let z = 594 + m. Solve z - 26 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -425 + 501. What is the third derivative of -68*l**3 + 137*l**3 - 64*l**2 - 24*l**2 - 68*l**3 - m*l**2 - 82*l**4 wrt l?\nAnswer: -1968*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -23742) + (175 - 176) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1651 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/12)\/(3\/498). Let u = m - 47. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 924 - 921. Solve -5*n - 17 = 3*m, i*m + 3*n + 19 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*d - 4*r - 37, -4*d + 41 = 5*r. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**2 + i**2 + 2*i**2 + i**2 + 23 - 184*i**3 - 52 wrt i?\nAnswer: -1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/6 - (-2)\/(-6). Suppose 14*h - 61*h + 65 = -29. Solve m*t + 3*o = 6, -h*t - o - 2 = -0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.02, -0.05, -929, 3, -4\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*p - p. Let c be (-4)\/p + 724\/48. Let u = c + -105\/8. Find the common denominator of -53\/12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + (-14 - (15 + -52))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16964959 by -3.\nAnswer: 16964959\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 393570588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -152495, -152489, -152483, -152477, -152471, -152465?\n\"Answer: 6*v - 152501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by (-279)\/(-4) - (-27 - (-2354)\/88).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*o = 45, -3*o = -2*k + 15 + 16. Let v = 0.1 - 0.2. Which is the closest to -2? (a) k (b) v (c) -3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:49 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + sqrt(76) + -5*(0 + sqrt(76) - sqrt(76) - sqrt(76)) + 2*(1*sqrt(76) - sqrt(76)) + sqrt(76) + -2 + 2)**2.\nAnswer: 252*sqrt(19) + 3805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w - 105 + 105)*((2 - 1 + 2)*(1 + 2 - 7) - 3 + 4 - 3).\nAnswer: -126*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3500*y**2 + 8816524*y + 60456 = 0. Calculate y.\nAnswer: -2519, -6\/875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from oyyzyjfzzdyyydz?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-6) + -3)*-6. Let i(c) = 0*c - 3*c + c - 4 + c**2 + c. What is i(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2853, 10673, 23711, 41967, 65441?\nAnswer: 94133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 338 in 3, 4, -0.4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -5\/4*r**4 - 1\/6*r**3 - 3\/2*r**2 + 0 + 11*r. Find the second derivative of z(s) wrt s.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 58. Solve 3*n + 17 = -2*y, u*n - 4*y + 3*y = -19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14457478 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 54 + 54 = 0. Suppose 3*p + 1 = 13. Calculate the smallest common multiple of 2\/(-3)*(-18)\/p and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.29 - -1.49. Let w = -0.013 + d. What is w rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -255 at most -255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2)*(2*p - 2*p - 2*p)*(550 + 453 + 375 + 836 - 142) in the form o + a*p and give a.\nAnswer: 8288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 557 + -816. Let j = m - -1289\/5. What is the nearest to -2\/7 in -4, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x + 4 - 9*x**2 + 82*x**3 - 164*x**3 + 81*x**3. What is w(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7*h = -8. Let t(w) = -w**3 + 5*w**2 - 5*w + 4. Determine t(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r - 21. Suppose -g - r = -5*o, -6*g + 3*g = o - 11. Solve 0 = 2*d + g*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 - 68. Solve -5*i + 18 = -c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85406*k - 85406*k + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129395 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2 + 8697*t + 8694 = 0.\nAnswer: -2898, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 9:37 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15423 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/60 - x**4\/24 - 2*x**3\/3 - x**2. Suppose -q + 1 = -0. Let t = -2 - q. Determine u(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 20.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, h: 7}. Give prob of sequence hh.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.498 + -10.298. Which is the nearest to m? (a) -4 (b) 49 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 10090\/(-50))\/((-1)\/(-5)). What is the common denominator of i\/(-228) - 6 - -4 and -19\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 8. Let p(n) = -7*n + 3 - 6 + 0*n + 4*n - 6. Give 4*c(g) - 6*p(g).\nAnswer: 2*g + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + 3*((sqrt(245) + -2)*6 - 5*sqrt(245)*-1))**2 + 2.\nAnswer: -15246*sqrt(5) + 267897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17047\/285789 - -49\/878. Let g be 2 + (-103449)\/15624 + -2. Let n = g + h. Find the common denominator of -89\/4 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + -3 + (2 - -15) + -2. Suppose 3*g = r*g - 342. Is g less than 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9 + 7*l - 13*l + 3 + 5*l. Let u(x) = -2. What is -2*n(v) + 5*u(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p - 2. Give l(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 1120?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**3 - 30174500521*o + 30174500521*o.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -10. Let k(l) = l**3 - 4*l**2 - 3*l + 2. What are the prime factors of k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 848888 and 696.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/75*-3)\/((-6)\/150).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {w: 2, y: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:38 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/8)\/((-6)\/4). Let i = 229 - 1143\/5. Which is greater: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 + -2. Let o = x - 0.1. Let p = 10.7 + -11. Which is smaller: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -32*w**2 + 15564*w + 31248. Determine n(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldd when three letters picked without replacement from {d: 2, l: 4, b: 8, v: 2, w: 4}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2. Let y(u) = -4*u**2 - u. Let r(i) = -f(i) - y(i). Let l = -15 + 14. Calculate r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f + 6, -5*a - 39 = 4*f. Sort a, -8, -4, 8, 4 in increasing order.\nAnswer: -8, -4, a, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 >= 4668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**3*t**3 + 3*c**2*t**3 + 3*c**2*t - c*t**3 - 2*c*t - 51 wrt c?\nAnswer: 42*c*t**3 + 6*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1175*g**3 + 9 - 5.\nAnswer: -1175*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:51 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 809984 divided by -4\nAnswer: -202496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*x - 16 = -r, 20 = 4*x. Calculate the remainder when 231 is divided by (-352)\/(-6) + (-6 - -4)\/r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30\/4787 + 807743\/201054. Calculate the common denominator of j and 1\/(-6)*(-369)\/(-15).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 1360.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3762004?\nAnswer: 2, 940501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 171*s**4\/4 - s**3\/3 - 114*s - 251. Find the third derivative of h(l) wrt l.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*a = 2*i + 28, 5*i + 10 = 5*a. Solve -i*c + 0*b = 3*b + 18, -b - 2 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {c: 2, v: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 64\/5 of a century?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n + 48. Suppose 0 = i + 2*i. Let b be f(i). Suppose 4*t - b - 32 = -4*j, 3*j - 3*t = 36. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 6:19 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 * -74.11\nAnswer: 1482.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/196*-1)\/((-8)\/(-28)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*(g*g**0)\/g*g*g*g)*((g*g**(-15)*g)\/g)\/g assuming g is positive.\nAnswer: g**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - 13?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 39. Let g be -1*(-32 - 1) + y. Let s = -149 + 352. What is the highest common factor of g and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 560089*d**3 + 340974.\nAnswer: 1680267*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51999\/14 - 3712. Calculate the common denominator of n and -97\/488.\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 times -0.036\nAnswer: -0.1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0 - 6 + 0 - u. Let q be f(-6). Suppose q = -j + 7 + 4. What is the greatest common factor of 88 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 23 = 3*b, -2*u = 4*b + 21 - 5. Suppose 5 = -5*i + 5*v, 9*i + u*v - 2 = 4*i. Solve -3*l - f + 2 = 0, -2*f - 2*f + 20 = i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10729 is divided by 1077.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1846448\/11 and -167858 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.931 * 1.\nAnswer: -26.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002182346 rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o**2 + 13*o + 9. Let s = 9 + -15. List the prime factors of c(s).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-267*i + 267*i + 152*i**2)*(-i + i - 2*i) + (-99*i**2 + 272*i - 272*i)*(0 + 0 - 2*i) to c*i**2 + q*i + x + d*i**3 and give d.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.3 - 18. Let j = -2 - -3. What is the nearest to 1 in j, 3, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*r = 18, -88*y + 86*y + 120 = -31*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 28 - 24 + 16 = -2*h - 16, 4*h + 5*a + 52 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - g. Let x = 1.9 + -5.7. Let h = -1.2 + x. Which is the nearest to g? (a) h (b) -2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(1364\/186).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 7:19 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 1, y: 1, s: 3, n: 1, f: 4}. Give prob of picking 2 f, 1 v, and 1 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140352 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: What is the remainder when 59205 is divided by 2277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*a**4 + 214*a**4 - 86*a**4 - 65*a**4 - 6 - 2*a**2 - 2*a + 2 to p*a**4 + l + d*a**3 + x*a**2 + q*a and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b - 32. Let x(n) = 3*n - 11. Let a(w) = 6*v(w) - 17*x(w). Let q be a(12). Let r = -4 + q. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -790, -791, -786, -775?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17823437476 take away -32?\nAnswer: 17823437508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34683341.\nAnswer: 7, 11, 19, 151, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -59?\nAnswer: 22\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/4 + d**3\/3 + 2*d**2. Suppose 40 = 9*h - 8*h. Calculate the remainder when h is divided by q(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 563806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**3\/3 + 11*u**2 - 4. Let g(q) = -q. Determine -2*g(z) - w(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 4) to base 6\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -110, -8, -2, -1 in increasing order.\nAnswer: -110, -8, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0816 - -3.9184. Sort 15, c, 3, -0.3 in descending order.\nAnswer: 15, c, 3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 4*n**2 - n + 3. Suppose 4 = 2*q + f, -2*f + 19 = 5*q - 4*f. Suppose q*l = -2*w - 4, 28 = 5*w - w - 3*l. Give i(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.5 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:36 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 237 + 221?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5 + 63*h**4 + 32*h**3 = 0.\nAnswer: -1\/2, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w. Let n(z) = -13*z**2 + 3*z - 3. Let q(x) = 3*x**2 - x + 1. Let j(y) = -n(y) - 3*q(y). Give j(i(r)).\nAnswer: 784*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22120100021 + -1002?\nAnswer: 22120022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**2 + 43*x**2 - 11*x**2)*(-22 + 22 - 3*x)*(-x - 2*x + x).\nAnswer: 144*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88918 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 193464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbpbbbbp. Give prob of sequence pbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/6)\/(-5))\/(196\/147)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/3 + (-6)\/9. Suppose 0 = -n*l + 5*l + 6. Let p(s) = s + 7. What is the units digit of p(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 - 50 - 283)*(3*k - 3*k + 2*k) to b*k + x and give b.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4 - 438784*f**3 - 24*f**2 + 5265376*f + 7020544 = 0. What is f?\nAnswer: -2, 4, 219392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/((-8)\/32). Suppose 3*k + v = 86, -l*k + 3*v = -v - 61. Calculate the highest common factor of 18 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.026613127 to 4 dps.\nAnswer: 7.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 809660393?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 150, 157, 168, 183?\n\"Answer: 2*q**2 + q + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 14*h - 111. Let r(s) = -16*s - 31 + 44*s - 155 - 34. Let y(p) = 7*j(p) - 4*r(p). Differentiate y(o) wrt o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -37*1*(-3 + 4). Let q = 885 - 881. Which is the smallest value? (a) q (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 + -3 + -2) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**4 + 282*h**3 - 282*h**3 + 4*h wrt h?\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**4\/4 + 11*f**3\/3 - 9*f**2\/2 + 13*f + 2. Let m be p(10). Solve -k - 4*k = -o + 24, -5*k - m = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5930bb5 + 2?\nAnswer: -5930bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 14*m**2 + 38*m - 11. Let s be h(-7). Let v(u) = -61*u + 3*u**2 - 4*u**2 + s*u + 6. Give v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 37*h**4 + 3*h**3 + 9*h**2 + 490*h. Let l(g) = g**4 - 3*g**3. Let p(w) = l(w) + n(w). What is the second derivative of p(v) wrt v?\nAnswer: 456*v**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 348*d**3*k**3 - 12*d**2*k - 2*k**3 wrt d?\nAnswer: 2088*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 781735924*y**2 + 518915599*y?\nAnswer: 1563471848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16838 - 11389. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-29)\/(-2*(-3)\/(-24)). Is g\/36 + (-2)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 717 = 3*u - 198. Suppose 7*w = 2*w + u. Suppose 5*i + l + 4*l - 255 = 0, -i + w = 3*l. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -474.0315 - -0.0315. Let p = b - -474.00219. What is p rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*g = -g - 39, -4*g + 15 = 5*r. What is the remainder when r is divided by 10*(1 + (-9)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.588654 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 - 66. What is the remainder when o is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/3 - 484*n\/3 - 28400\/3 = 0. What is n?\nAnswer: -142, -100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 0. Suppose -3*i = -28 + c. What is the units digit of (0\/3)\/(-3) + i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 78845 = 3*i - 336616, -4*n - i = -206214. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8544 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1128, -2240, -3352, -4464?\nAnswer: -5576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiissssssiiiiissssii. What is prob of sequence iiis?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.465 + 6.965. Which is the fourth smallest value? (a) 10 (b) 24 (c) g (d) -4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22041639.\nAnswer: 3, 17, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/132 - 620\/(-22). Solve -4*p = 3*k - 9*p + 37, -2*k + 4*p - j = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 259382, 518766, 778150?\n\"Answer: 259384*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2. Let z(a) = 562878 - a - 562878. What is l(z(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {l: 1, s: 2, d: 1, x: 2, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 53 + 43 = 3*t, -2*t - 7 - 8 = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjlv when four letters picked without replacement from lvllllvlljll?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 88285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -117727*y**2 - y + 1. Let n(r) = -329*r. What is n(c(g))?\nAnswer: 38732183*g**2 + 329*g - 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -1170*d**3 - 2704*d**2 - 3182*d. What is the derivative of h(o) wrt o?\nAnswer: -7020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*g - 5*r, -5*g + 5*r - 3*r + 7 = 0. Let x = -59705 - -99705. Let b be (359 + -2 + g)*x. Round b to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -4. Let d be (2 - 2)*(-8)\/u. Suppose -2*t + d*y - 10 = 2*y, 2*y = -4. Sort 1, 5, t.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 - 89. Suppose h = -6*p - 352 + 1162. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/40895268 and 67\/3207472.\nAnswer: 163581072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 2. Let i = 0.61565 + 0.56435. Is i bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) - sqrt(36))*-5 + (-3*(sqrt(17) + -1*sqrt(68)))**2.\nAnswer: 5*sqrt(17)\/2 + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*m = -179, -10*v - 4*m - 311 = -13*v. Let q = v + -99. Which is the nearest to -0.1? (a) -0.4 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*y + 40, -13*y = -16*y - 5*n - 24. Factor 1\/2*u**y - u + 1\/2.\nAnswer: (u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 6*f + 228 = 0. Suppose 661 = 13*q + f. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**3 + r**2 - 5*r - 3. Let q(p) = 3*p**3 + p**2 - 3*p - 2. Give 3*f(g) - 5*q(g).\nAnswer: 6*g**3 - 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1594600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 1.2. What is the third smallest value in -4, 4\/3, h?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 2:01 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 757759550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5278 * -0.18503.\nAnswer: 0.097658834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566736.\nAnswer: 2, 3, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -254774500 rounded to the nearest one hundred thousand?\nAnswer: -254800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 282\/1034*(-4)\/6. What is the fourth smallest value in -3, i, -4, -1.8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.579? (a) 3 (b) 14.5 (c) 1\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*p + 94*p + 12 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 2\/9 (c) 2 (d) 0.67 (e) -4\/3 (f) -12.81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 - 11*q**5 - 11*q**5 + (6*q + 3*q - 5*q)*(q**4 - 2*q**3 + 2*q**3).\nAnswer: -22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 19*n + 30. Let q be d(-21). Let m be 2\/(-4)*(12 + q). Solve -r + f - 4 = m, -r + 3*f + 2 = 5*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/953 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**(-1\/8))))**(34\/3) assuming h is positive.\nAnswer: h**(119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -115644612?\nAnswer: -115644614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*p - 109*p. Let b = -223 + 5351\/24. Which is greater: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2865\/2 - 1405. What is the common denominator of -95\/14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*q - 13 = 2129 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + f - 2 = 0, -5*f + 35 = -s + 58. Solve s*n = p + 2 - 16, 5*p = -4*n + 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 252, -4\/5 in decreasing order.\nAnswer: 252, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 4:55 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zor when three letters picked without replacement from {o: 3, r: 5, z: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + n = 12*b + 5, 3*n = -2*b + 1. Let k(v) = 9*v**2 - 18*v + 2. Let q be k(b). Solve -2*l = 4, u - q*l = 3*l + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 44*u + 36*u = -3532573. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730983 is divided by 861.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -136*w**2 + 3*w + 68. Let y(v) = 90*v**2 - 2*v - 46. Determine -5*r(f) - 7*y(f).\nAnswer: 50*f**2 - f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/8)\/1*(-936)\/(-858). Is -0.6 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3 + 18 = 0. Suppose 2*l + 2 = 3*l. Let z = v + l. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 2*t - 184, 0 = -o + 253*t - 256*t - 55. Which is the fifth smallest value? (a) 0.4 (b) -0.4 (c) o (d) -0.2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1749580 and 137\/1008?\nAnswer: 62984880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6092, -2\/5, -231 in decreasing order.\nAnswer: -2\/5, -231, -6092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 16. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*z + 352*z - 155*z to h + w*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-2) + 1 + 18. Let u be (-3)\/(-2 + o\/9). Calculate the greatest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -19. What is the units digit of (-46)\/d + 3\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02061556 - -7\nAnswer: 6.97938444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 317 - 314. Which is smaller: n or 23\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 3*f**2 + 4*f + 1. Let z be d(-4). Let x be (0*(-3)\/9)\/(-2). Suppose x = -v - 3*v + 8. Which is bigger: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:01 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10654 - 841664\/79. What is the biggest value in -3\/7, 0.9, p?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.5 + 7. Let g = 0.9 + h. Round g to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**4 - 18*a**3 + 28*a**2 - 22*a + 5. Let b(w) = -65*w**4 + 395*w**3 - 615*w**2 + 485*w - 110. Let g(l) = 2*b(l) + 45*x(l). Factor g(k).\nAnswer: 5*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1871*r + 1953*r - 3824*r - 3*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (101\/707)\/(7\/294)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - t**2 - 8 + 5*t**2 + 2*t**4 - 19*t**3 + 11*t**3 + 8*t.\nAnswer: 2*(t - 2)**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 90 in 2, 0, 4, -29, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 85, 134, 183, 232?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 45176, 45130, 45062, 44972, 44860, 44726?\n\"Answer: -11*b**2 - 13*b + 45200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -276, -402, -526, -648?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.469*-643\nAnswer: -944.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p + 2*n = -12, 0 = 3*p + 3*n + 9. Solve 4*u = p*u - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -1 + -1)\/2. Let o(v) = -3*v - 2. Let s(m) be the third derivative of -m**3\/6 - 2*m**2. Let y(q) = o(q) - 5*s(q). Determine y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-6)*q*q*q\/(q**7\/q))**(-31) assuming q is positive.\nAnswer: q**(-124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -251\/2713 + -941521\/1465020. Let i = -1019\/59670 - -1\/442. Let d = y + i. What is the third biggest value in 2, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7760 and 137\/90650.\nAnswer: 70344400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34364372629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141 - -38. Let d = a - -109. Calculate the smallest common multiple of 10 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**4 + 2806264*d**3 + 80646206.\nAnswer: 8*d**3 + 8418792*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7))**20*(c**(1\/3))**27 assuming c is positive.\nAnswer: c**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -23. Find the first derivative of 6*j**4 + 3 + 6*j**w + 2 - 6*j**3 wrt j.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -52*d - 4. Let o be q(-4). Suppose o = 4*x - 8. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) - 12\/(-20). Let z = -201699\/65 - -3103. Is z at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17000, -16857, -16700, -16535, -16368?\nAnswer: -16205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 + 11*i**2 + 3*i. Let f(n) = -5*n**3 + 10*n**2 + 4*n. Determine 3*f(o) - 4*m(o).\nAnswer: o**3 - 14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 - -73 - 4*-8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 33 + 37 - 32 + 7*b to the form v + k*b and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -331, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 + 93 = -2*o. Let l = -173 + o. Suppose -129 = -8*k + 95. Calculate the remainder when l is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*x**2 + 14*k**3*x - 18*k**3 - 739*k**2 + 7*k*x**2 + 2*k*x wrt k?\nAnswer: -6*x**2 + 84*x - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-12) + 8078\/56. Let u = -134 + s. Calculate the smallest common multiple of u and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 + -4.83. Let m = -8 - o. Let r = m - -7. Which is the third biggest value? (a) 0.4 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*f + 82 + 166, 1 = -f. Suppose 5*b = 120 + n. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 1, x: 3, i: 3, g: 3, d: 3}. Give prob of picking 1 d and 2 i.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by 201?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -29*a**4 - 32*a + 40 - 88\/3*a**3 + 24*a**5 - 14\/3*a**6 + 72*a**2. What is u in w(u) = 0?\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.74 + -0.816. Round f to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/17 + 4142*x\/17 - 53508\/17 = 0?\nAnswer: 13, 2058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1280)\/480)\/(1\/(3\/14))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:34 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5379606 and 265?\nAnswer: 26898030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-5 - (-1 - 2) - 10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 643465?\nAnswer: 643465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1 + 49*p - 8*p + 36*p. Let m be i(1). Suppose m = 8*s - 4*s. 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 3729.\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -497272230 divided by -526214?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1611281 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u + 22. Give f(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q - 4. Let t(l) = l. Let n(d) = s(d) - 5*t(d). Let i be n(3). Let z be -3 + 2 - 4\/(-2). Calculate the greatest common divisor of i and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i**5 + 970*i**4 - 69105*i**3 - 583180*i**2 + 293280*i + 806400 = 0. What is i?\nAnswer: -105, -8, -1, 4\/3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3375\/2 - 2048*h**3 + 5760*h**2 - 5400*h.\nAnswer: -(16*h - 15)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 47 (b) 0.2 (c) 73\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -214*r + 203*r + 9724. Calculate the smallest common multiple of 13 and r.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 874016.4 years?\nAnswer: 874.0164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 18. Determine f(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(448) + (sqrt(448) - sqrt(448)*1))*4 + 4)**2 + (2*(sqrt(70)*2 + sqrt(70)))\/(sqrt(490) + sqrt(490)*2 + sqrt(490)).\nAnswer: 3587*sqrt(7)\/14 + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(143) + sqrt(143) + 5*sqrt(143)*-2 + sqrt(143))\/sqrt(11).\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1184634 and 63690?\nAnswer: 5923170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*q**3 + 8*q**2 - 9*q**2 - 12*q**3 + 0*q**2.\nAnswer: -50*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510449055 and 2040.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -588 + 560 - (-62 - -4 - -3)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 145 + 5*r + 147 + 4*r**2 - 3*r**3.\nAnswer: (r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8597123 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d - 4. Suppose -14*q - 17*q + 155 = 0. Calculate b(q).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 0 - 50\/(-1). Suppose -2064*a + 2086*a = 66. Solve y*b + a = 49*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - k + 22 = 2*k, -2*q - 5*k - 11 = 0. Let z = q - -18. Let n be z\/((-4)\/(-3 + -1)). Solve -3*h - n = -2*h, -4*y = -2*h + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/59? (a) 0.71 (b) -4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130 times 5813?\nAnswer: 24007690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -72) + 6 + -27 + 14?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -262281\/4 - -65574. Solve -2 - f*o - 3\/2*o**2 + 1\/4*o**3 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 25*n**2 - 4*n + 8. What is the smallest common multiple of c(-14) and 4?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16329 - -16323. Put 20, 3, m, -0.1, -0.2 in decreasing order.\nAnswer: 20, 3, -0.1, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1900) - (sqrt(1900) + (sqrt(1900) - 2*sqrt(1900)))))**2 + (sqrt(19) - (-2 + sqrt(19))) + 2 + 2.\nAnswer: 60*sqrt(19) + 1915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034483 to six dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -3*z + 21, -2*z + 3*q + 9 = 2*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 207, 345?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 45 = -3*o + 2*o, -2*j + 4*o = 4. Suppose -2*p = j, -3*z - 5*p - 45 = -184. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (-25)\/(-10)*-2. What is the highest common factor of k and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189222996 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 p(j) = 4182*j - 1. Let w be p(-1). Let q = -9109 - -12926. Let n = w - q. What is n rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1845*b**2*x**3 + b*x**3 - 9*x**3 - 15 wrt b?\nAnswer: 3690*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244675425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j, 0 = -222*i + 227*i - j - 20. Solve -i*q = 4*v - 8, 5*q = 11*v - 6*v + 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 5*u + 2. Suppose 45 = -7*g + 16*g. What is o(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r = 52. Let m = -50 - r. Let p be -4*2*4\/(-8). Solve -7*w = -m*w - 3*k + p, 3*w - 4*k = -9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -107509, -0.27, 1\/5 in increasing order.\nAnswer: -107509, -0.27, 0.03, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/244842 and 97\/43654?\nAnswer: 5631366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 1, 7, 10, 3 in ascending order.\nAnswer: 1, 3, 7, 10, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 3 - (75 + -78) - 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13224 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50058 and 400464.\nAnswer: 400464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1228 - 324 = 12*q - 109*q. What is the greatest common divisor of q and 1296?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(45\/(-6))\/15. Let z(n) be the third derivative of 3*n**2 + 0*n + 0*n**a + 0*n**4 + 1\/6*n**3 + 0 - 1\/20*n**6. What is the derivative of z(i) wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 501.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*n**4*u + 2*n**4*w**2 - 2*n**3*u - 12*n**2*u*w - n*u*w - 2*w**2 wrt n?\nAnswer: -1896*n*u + 48*n*w**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -383.8 to the nearest 10.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - l - 6, 0 = 2*g + 4*l - 9*l - 17. Suppose 6*c - 5*c - 2 = 0. Let h(r) = -2*r**2 - 3*r**2 - 8*r**c - 4*r**2 - r + 1. Determine h(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10805072?\nAnswer: 2, 19, 35543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z - 5. What is the tens digit of c(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149599 is divided by 7546.\nAnswer: 6225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*a + 23 = 0, -3*k + 20 = 35*a - 33*a. Suppose -4*n = -4*g - 3348, -g + 1 = k. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p - 2. Let d(b) = -b**2. What is 3*d(z) + w(z)?\nAnswer: -2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 239 and 9082.\nAnswer: 9082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22058832?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 19. Let q = g + 31.4. Let d = -1.4 - -1. What is the second biggest value in -5, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 - 980*k**2\/3 + 34106*k\/3 + 37064.\nAnswer: 2*(k - 452)*(k - 41)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h = -90*h + 7708 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7020 and 5778.\nAnswer: 751140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from {c: 1, b: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15038488, -15038485, -15038480, -15038473, -15038464, -15038453?\n\"Answer: j**2 - 15038489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 963 - 1009. Which is the closest to y? (a) 0.4 (b) -3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72159.2l to millilitres.\nAnswer: 72159200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14*(-10)\/910)\/(1 + 0)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -733. Let d = -614.999906 + j. What is d rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:15 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8399851 * 0.3\nAnswer: 2519955.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112.989 - 113. Let a = -0.989 + c. What is the third biggest value in 1\/5, a, 1\/10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*b + 1)*(-4227332 - 466*b + 4227332 + 3*b**2).\nAnswer: -6*b**3 + 932*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 2*m + 2. Suppose n = -2*v + 3*v - 3, 4*n - 4 = 0. Determine f(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46.69 and -937.\nAnswer: -43748.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 533 - 532.95844. What is k rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-7)*(-2)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*f + f - 3*r, -f + 2*r = 10. Let s(y) = -y**3 - y**2 - 7*y + 3. Let o be s(4). Let u = o + 102. Is f equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 608*a**2 - 289*a**2.\nAnswer: -897*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397 = -69*j + 431. Calculate the remainder when 357 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1493821*b**4 + 1991819.\nAnswer: -5975284*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -8. Let j be ((-10)\/(-8))\/((-1)\/v). Find the third derivative of -3*h**5 + h**j + h**2 - 3*h**2 wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354 a factor of 113630561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**8)**23 assuming q is positive.\nAnswer: q**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033458 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 - 15*y**2 + 110*y + 80. What is d(-15)?\nAnswer: 1805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-41)\/(-7) + 6\/(-7). Solve -2*t + 5*t = d*s - 12, -2*s = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/24 - y**3\/2 + 4*y**2. Determine t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 582280107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*k**2 + 454*k**3 + 183*k**2 + 183*k**2 - 1356*k**3.\nAnswer: -902*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 4. Let s = 203 - 203. Give y(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.4 + 4. Let x = 8\/245 + 402\/2695. Sort x, -138, c in ascending order.\nAnswer: -138, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (0 + 0)) + (11 + -17 - -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aayyryyyaqyayyqqaa. What is prob of picking 2 q and 1 y?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 58 - 62. Let p(v) = v**3 + v**2 - v - 1. Let c(u) = -3*u**3 + 5*u**2 - 6*u - 6. Give n*c(a) + 6*p(a).\nAnswer: 9*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 >= 24\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p**3 + 5*p - 6*p + 1 - 21*p**3 in the form u*p**2 + k + f*p + g*p**3 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45350489 is divided by 2667674.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106482 and 692133?\nAnswer: 1384266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -19 - (0 + 2 + -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 3*h + 35 = 4*z, 0 = 2*z - 4*h. Let c be ((-5)\/z*(-1 + 1))\/1. Factor 0 - 1\/3*x**4 + 0*x**2 + c*x**3 + 0*x.\nAnswer: -x**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.70674m to nanometers.\nAnswer: 12706740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irl when three letters picked without replacement from {b: 1, l: 1, d: 2, r: 1, m: 1, i: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223400 (base 6) to base 11.\nAnswer: -13255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1308 - -2779\/2. Let p = -74 + r. Find the common denominator of -14\/5 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -0.4. Let i = 2 - 1. Let y = -3821\/4 + 956. Which is the nearest to 0.1? (a) i (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 4:29 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -200 + 200 - 4*h. Let c(r) = 11*r. What is w(c(k))?\nAnswer: -44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26136132?\nAnswer: 2, 3, 11, 389, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 5 (b) 3\/8 (c) 2\/17 (d) -1270\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 9. Suppose h + 2 = 0, 0 = -2*x + 5*h - w + 20. Let i(j) = j + 7*j - 8*j + 2 + j**x. Determine i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31814*z**3 - 31824*z**3 + 95449*z**3 - 31815*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3231736 divided by -4\nAnswer: -807934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l. Let h(q) = -2*q + 65. Calculate h(u(y)).\nAnswer: 8*y + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 40 + 23503*d - 37 + 110 as x*d + v and give x.\nAnswer: 23503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3001 + -1313?\nAnswer: -4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -32. Let r be 0\/2 - (-6)\/(-10). Is r bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 1 - 27. Let m = -6 - p. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14134 divided by 3372.\nAnswer: -7067\/1686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 0*a - 3*a)*(-1711 + 5495 + 5227) in the form j + d*a and give d.\nAnswer: -9011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 35*q + 34*q - 1 - 1. Determine u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(20\/4) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 2)*(4 + 0 - 6 - 6*a**2).\nAnswer: 36*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - -1. Let n = -38 - -37.9. Which is the nearest to t? (a) n (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -2*m**4\/3 + 64*m**2 - 4*m. Let s(n) = -115*n**2 - 2. Calculate v(s(a)).\nAnswer: 1840*a**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 311111332 (base 4) in base 2?\nAnswer: 110101010101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1440?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(20)\/sqrt(4)) + 4 - -3*-1*sqrt(637).\nAnswer: -20*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10880 and 13300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1096*y**3 - 1197*y**2?\nAnswer: -6576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8198*w + 40891. Give h(-5).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2 - 9921*i*z**2 - 31*z**2 - 2398 wrt i?\nAnswer: 2*i - 9921*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 25344?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 + 3*k - 1. Let c = -57 + 59. Give x(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 201, 203?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {e: 4, u: 1, x: 1, k: 4, h: 3}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -944 + 1328. Let c = n + -6147\/16. What is the common denominator of 5\/(140\/189) + (-8)\/80*-5 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {j: 3, p: 7, d: 5, z: 2, b: 1, f: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*g - 2225, 0 = -4*g - g - 5*v + 3725. Suppose g = 3*s - 150. Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f + 2. Suppose -305 - 496 = -f*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64896170 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110279 and 551395?\nAnswer: 551395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3155 - 3147. Solve -q*x + 2*s = -7*x + 2, -x - s - 5 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(170)\/(sqrt(120)\/sqrt(3)))**2*3 + -3.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 5448.\nAnswer: -1\/2724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946 is divided by 40.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -197\/2 (b) 0.1 (c) 1\/5 (d) -13 (e) -8.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 8159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 10786760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - k**2 + k - 1. Let a be u(1). Suppose a*g = -g + 39. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22224, -22161, -22086, -21993, -21876, -21729, -21546, -21321?\n\"Answer: x**3 + 56*x - 22281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106168 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*z - 2*z - 3516 = 0, z = -2*j + 1407. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -1320?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 8*f**4 + 4*f**4 + (-3*f + 6*f - 6*f)*(0*f**2 + 0*f**2 - 2*f**3) - 10*f**4 - 12*f**4 - 16*f**3 + 25*f**4.\nAnswer: 18*f**4 - 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*d - 14 = -2, 66*l - 2*d = 71*l - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12615.319 less than 63?\nAnswer: 12678.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16627, -16628, -16629, -16630?\n\"Answer: -w - 16626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + t - k, -6 = -5*t - k. Suppose 0 = v - 13*v. Suppose v = 2*g + t - 0. Sort g, -4, 3 in decreasing order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - -0.09. Let w = b + -0.1374. Round w to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Suppose -4*p = -2*p + 184. Let o = p + 551\/6. What is the closest to -0.2 in -1, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 2*x + 28. Let w be l(0). Suppose 0*m = 5*m + c - w, -31 = -5*m - 2*c. Solve 1 = -p + m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -2)*2\/6. Let t(w) = w + 2*w**2 - 2*w**2 + 13 + 2*w**2 - w**2. Calculate t(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2*(-2 - -4) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*c + 219 = 45. Let m(i) = -4*i**2 - 5*i - 7. Determine m(c).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55.91 + 56. Let a = -1.91 - g. What is the fourth smallest value in a, -1\/10, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (6\/(-9))\/((-2)\/234)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 13*b. Let t = -833 - -590. Let r = -244 - t. Calculate y(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 31\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**2 - 5 + 2*k - 3*k**3 + 0*k**3 + 2*k**3 - k. Let s be y(8). Suppose -5*v = s*w - 0*w - 3943, 807 = v - 4*w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -15. Let k = -3 - -0.5. Let f = 2 + k. Which is the closest to g? (a) f (b) 3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 24. Let h be k(-9). Suppose -741 = -h*n - 165. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.2 times -2252\nAnswer: 20718.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 16, o: 3, p: 1}. Give prob of picking 1 o and 1 p.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23831?\nAnswer: 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390\/35 + 5 + -15.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9799 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.115616342 to five dps.\nAnswer: 1.11562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 165077*q + 1320500. Give y(-8).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.19. Let p = q - -0.21. Let z = 2\/87 - 443\/348. Sort -0.4, p, z in descending order.\nAnswer: p, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.22 * 4.04822.\nAnswer: 4.9388284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*a + 105, a + 3*r - 40 + 0 = 0. Suppose a*j - 33*j + 6 = 0. Solve t - x - 4 = -13, 4*x - 8 = -j*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b + 4 = 2*o + 18*b - 37*b, 2*o = 4*b - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/9 of a hour in seconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((((sqrt(972)*-2 - sqrt(972)) + sqrt(972))*-1 - sqrt(972)) + sqrt(972))\/((-4*2*sqrt(54))\/sqrt(6)) + -5)**2.\nAnswer: 9*sqrt(3) + 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, -0.4, -2\/9, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -883443756 + 1356573756. What is t rounded to the nearest one million?\nAnswer: 473000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**5 + 975*x**4 - 11545*x**3 - 44235*x**2 + 11540*x + 43260 = 0.\nAnswer: -206, -3, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:57 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 6 = -5*t. Suppose 0*b + 20 = t*u + 4*b, -4*u = -b - 58. Let s be (-4)\/u*(-84)\/60. What is the second biggest value in -2\/7, s, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**4\/16 - 7*m**3\/12 + 5*m**2\/4 + 58. Factor w(h).\nAnswer: h*(h - 5)*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -313.\nAnswer: -93.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 452541378 to the nearest 100000.\nAnswer: 452500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.04 (c) -4.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2038*m. Let r(s) = 203*s. What is r(w(g))?\nAnswer: 413714*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -845 + 847. Solve 3*j + v*j - 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4942082743.\nAnswer: 13, 67, 5674033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 254, 508, 762, 1016, 1270?\n\"Answer: 254*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3550097426.\nAnswer: 2, 23, 77176031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + a = 15, 2 = -l + 2*a + 7. Let s = -7 - l. What are the prime factors of (-1 - 0)*2*s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4000125 - -0.4. What is u rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0057? (a) -0.2 (b) 8 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79188 and 98985.\nAnswer: 395940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 848 a factor of 23548112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + (-1*(sqrt(1088) + sqrt(1088)*-2) - -6*(-1 + sqrt(1088))))**2)*5.\nAnswer: -3920*sqrt(17) + 266790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.747611 kilometers?\nAnswer: 5747.611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70962 = 27*f - 534012. What is the common denominator of (-4)\/(-50) + (-9072)\/f and 41\/77?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 429, 394, 325, 210, 37?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1099 divide 1796865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29379 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553, 1106, 1661, 2218?\nAnswer: 2777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25735, 51465, 77195, 102925, 128655, 154385?\n\"Answer: 25730*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -94*t. Let o be (3\/(-2))\/(3\/(-6)). Let h be s(o). Let k be (-200)\/h + 2\/(-3). Which is greater: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23829700 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/((-77)\/(-182)) + 2. Which is greater: n or -29?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - -6 - 102) + 18 - -162.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 8*t**2 + 4*t. Let o(n) = n**3 - 4*n**2 + 2*n. Calculate -3*h(u) + 5*o(u).\nAnswer: -u**3 + 4*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 k when four letters picked without replacement from uuuuuukkuuuuu?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 f when three letters picked without replacement from {f: 7, z: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 2*b - 16. Let t(r) = r - 1. Let o(p) = k(p) - 10*t(p). Let c = 441 - 449. Is o(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11918074.\nAnswer: 2, 7, 31, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 176765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 0.071, -0.4, -0.1, -7, -1833?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-3*(-2)\/(-6)*-1. Suppose y*x - 81 = -75. Solve 0*r + 3*r = x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53750)\/860)\/(5\/(-2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -8, 0.05, -4\/6825?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -480621, -3844977, -12976795, -30759807, -60077745, -103814341, -164853327, -246078435?\n\"Answer: -480622*t**3 + t**2 - 5*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*l**2 + 2 + (l**2 - 4*l**2 + 2*l**2)*(4 - 3 + 1) - 22*l**2 + 16 - 16.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -14 + -23 - -94?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-224)*(-10)\/(30\/(-6))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -14. Let b(r) be the third derivative of r**6\/30 - r**5\/12 + r**2 - 128*r. Let z(i) = 10*i**3 - 12*i**2. Calculate p*z(f) - 12*b(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2045, 2046, 2047, 2048?\n\"Answer: y + 2044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32350014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - 17. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42799\/6 - -7157. Let c be (25090\/(-4))\/5 - 2. Let t = -1284 - c. What is the common denominator of t and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -282?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 >= 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84 - 9*o**2 + 84 + (2 - 2 + 2*o)*(-3 + 3*o + 3) + (21 - 30*o - 21)*(2 - 2 + 2*o).\nAnswer: -63*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.867 - -11.867. Which is bigger: 2\/79 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffffzkfzifk. What is prob of picking 1 z, 1 k, and 2 f?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -112*g**2 - 668*g - 1985. Determine x(-3).\nAnswer: -989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4 in decreasing order.\nAnswer: 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 6.7?\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 19005 = -45*h. Let b = -635 - h. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 37. Which is the second biggest value? (a) 8 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + 5 + 2 + sqrt(3)*2 - (3 + (sqrt(3) - sqrt(9)\/(sqrt(9)\/sqrt(3)))))**2.\nAnswer: 24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/9 + 154196*x\/9 + 39668440\/9.\nAnswer: 4*(x + 259)*(x + 38290)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -1\/6*o**3 + 0*o + 18*o**2 + 3\/10*o**5 + 0 - 1\/12*o**4. Let u be q(1). What is the greatest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52322 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -1\/120*p**5 + 19\/12*p**3 + 3\/8*p**4 - 5*p**2 - 7*p + 0. Factor z(u).\nAnswer: -(u - 19)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**3 - q**2 + 5*q + 2. Is s(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/20 - u**3\/3 - 2*u**2 + u. Let l be v(2). Let n = 73\/133 + -5\/19. Which is the nearest to l? (a) n (b) -4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 9*z**2 - z + 10. Let p be (-5 + -3)\/4*30\/12. What is the least common multiple of b(p) and 3?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47474)\/182 + 2\/(-13). Let v = r - -446. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9221846857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.9 + 19. Is r >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4 - 52*b**3 - 448*b**2 - 1580*b - 1950 = 0?\nAnswer: -13, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 22*q + 771. Let v(u) = 62*u + 2317. Determine 17*k(j) - 6*v(j).\nAnswer: 2*j - 795","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 7:16 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012210122111 (base 3) in base 2?\nAnswer: -10011101101000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15864888 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00453 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/39 in 2\/5, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - 2*a + 0*a)*(-3 + 2 - 7) - 15*a + 2 - 2 to c + g*a and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 2*r - 4. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, d: 5}. Give prob of picking 4 k.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*-2*sqrt(21) + (sqrt(42) - sqrt(168))\/sqrt(2))\/(-4*(sqrt(768) + sqrt(3))))**2.\nAnswer: 63\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -52. Suppose -4*c + 42 - 6 = 0. Let f = p + c. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:22 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - -675b?\nAnswer: 676a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 133030000 rounded to the nearest one million?\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.4732672 to 2 dps.\nAnswer: -34.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 5\/372707?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11035 + -20?\nAnswer: -11055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24312, 24310, 24306, 24300?\nAnswer: 24292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 22 - s - 75 + 6*s - 54 + 9*s. What is i(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -676 and 1778.\nAnswer: -1201928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1203*a**3 - 3*a**2 - 10*a + 20. Let n be t(6). Let s be ((-1)\/(-1) - n) + (-6)\/(-2). Round s to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 2*q - 2*q)*(-3 + 5 - 3)*(0*q + 3*q - 2*q) + 0*q**2 - 2*q**2 + 3*q**2 in the form n*q + u + a*q**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -167333?\nAnswer: -167351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 620517 rounded to the nearest 10000?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000093 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*v + 4*p - 11, -3*p + 31 = 4*v. Calculate the least common multiple of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9313, -9533, -9715, -9841, -9893, -9853, -9703, -9425?\nAnswer: -9001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10300 + -110322?\nAnswer: -121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one halves of a meter?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1015, 2043, 3083, 4141, 5223, 6335, 7483, 8673?\nAnswer: 9911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 207\/8. What is the nearest to 6 in -4, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 74. Suppose n = -12*b - 3 - 9. Let m(o) = 14*o - 1. What is m(b)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*j = -463, -2*j - 5 - 1 = 0. What is the remainder when r is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -8 + 4. Suppose 2*g + z = 3*g. Suppose -g*s - 92 = -2*o, -s = 5*o + s - 265. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 8*o + 46*o)*(3 + 0 + 1)*(5 - 5 - 4*o).\nAnswer: -864*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012754 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1821 - 46*d**2 - 1821 + (2 + 1 - 4)*(d**2 - 3*d**2 + d**2) - 2*d**2 + 3*d**2 + d**2 + 2*d**2 - 2*d**2 + 2*d**2 as o*d**2 + t*d + r and give o.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 22\/(3 + -1))\/1. Let d be 16\/40 + (-43)\/q. Solve -2*k + d = -1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 250.609 to the nearest integer.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105421202.\nAnswer: 2, 131, 402371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-10))\/((-744)\/310).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17, 30, 49, 74, 105, 142, 185?\n\"Answer: 3*k**2 + 4*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 71217302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27.6 + 0.02\nAnswer: 27.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 352702, 705404, 1058106?\n\"Answer: 352702*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-24) + (-8)\/(-48).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmllmdr. Give prob of picking 1 l, 2 m, and 1 d.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1760)\/12)\/(-2) + (-4)\/12. What are the prime factors of 1 - (l - 3)\/(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/2 - 135*o**2 + 3168*o - 5808.\nAnswer: 3*(o - 44)**2*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 19. Let z(i) = -25 - 7*i + b*i + 16. Let f(l) = -5*l + 14. What is 5*f(t) + 8*z(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + -2 + 74 + -39 + -42 + (1 - 2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000031097888 rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 138, 261, 442, 699, 1050?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-2)\/(-5) + (3 - 2 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6989187.92 and 97.61.\nAnswer: -6989090.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - t - 2. Let v be m(2). Suppose v*c + x = 3*c, 3 = 4*c + 5*x. Which is greater: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262225 = 5*t - 2*m, -1085*t = -1082*t - m - 157336. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.344 + -0.156. What is the third biggest value in -3, v, 0.5, 3\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28150 - 5*o**3 - 28263 + 56395.\nAnswer: -5*o**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -28. Let t(y) = -y**3 - 3*y**2 + 251*y + 1622. What is the remainder when t(-7) is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-25)\/25)\/((-1)\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 36 = 4*m, -5*c - 31 = 5*m - 76 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50400 and 100800.\nAnswer: 100800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 + 89. Suppose 0 = -p + 1 + 1. Differentiate -143 + 2*x**p + 134 - n*x**2 with respect to x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 57*w + 2 + 135*w + 120*w.\nAnswer: 196*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p - 9. Suppose p = 5*v + 1. Find the third derivative of r**5 + v + 1 - r**2 - 3 wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 + 2*b**2 + b + 2. Let r(m) = m**3 + 1. Let s(x) = -4*r(x) + u(x). Let v(k) = 2*k**3 - 3*k**2 - k + 2. Let f(d) = -3*s(d) - 2*v(d). Give f(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87876?\nAnswer: 2, 3, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**12)\/w)\/w)\/((w*w*w**(-7))\/w) assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3 + 823287*h**2 + 5799546*h wrt h?\nAnswer: 12*h + 1646574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 344 - 343.6. Sort 5, o, -47.9.\nAnswer: -47.9, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/112960453 at most as big as 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -17. Let d be (1\/(-2))\/(c\/104). Let j(o) = o**3 - o**2 - 6*o - 2. Is j(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 1012 + 28. Calculate the greatest common factor of f and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 180589675709 - -59.\nAnswer: 180589675768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5153870 rounded to the nearest ten thousand?\nAnswer: -5150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.18729447 times 3.1\nAnswer: 0.580612857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 501092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2231700 or 2231704?\nAnswer: 2231700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 1, j: 1, n: 1, u: 1}. Give prob of sequence us.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j**3 - 3*j**2 + 3*j - 3. Let q(w) = w**3 - w**2 + w - 1. Let p be (-1 + 2)\/((-1)\/6). Give p*q(c) + 2*x(c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1517 + -1475 - (66 - -1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/64194 and -113\/66.\nAnswer: 706134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuo when four letters picked without replacement from {u: 4, o: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 16*c**2 - 22*c - 4. Let u(i) = -16*i**2 + 22*i + 3. Let x(z) = 3*s(z) + 4*u(z). What is the second derivative of x(p) wrt p?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -67d76 + 3?\nAnswer: -67d73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 12:03 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x - 6 + 1 + 6. Let g(f) = 9*f - 2. Give -5*d(l) - 3*g(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2598 - 2598 - 5*z)*(70 + 48*z - 70 + (-4 + 4 + z)*(0 + 1 - 3)).\nAnswer: -230*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4856\/291 - 2\/97. Let g = -1555913\/162 - -19207\/2. Find the common denominator of a and g.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/7 + 312*y\/7 + 22816\/7.\nAnswer: -4*(y - 124)*(y + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5*z + 12 = 4*f, -10 = 5*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -24 - -15 - (2 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5.899022 millennia?\nAnswer: 589.9022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + 10*j - 10*j)*(-1 - 2 + 2)*(109*j - 46*j - 42*j).\nAnswer: 189*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**5 - 46*d**4 + 716*d**2 + 65876*d - 1.\nAnswer: -40*d**3 - 552*d**2 + 1432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9645776 divided by 4822888\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**3 - 7851342*r**2 - 23554047*r - 15702702 = 0.\nAnswer: -2, -1, 2617117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 15) to base 11\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63313?\nAnswer: 63313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 7:31 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1907*i - 242212. Give p(127).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0179071 minus 1?\nAnswer: -1.0179071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 + 0*l**2 + l**3 + 5*l**2 + 20 + 10*l - 5*l**2. Is r(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*m = -188 + 1112 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let a = -210 + 380. Let t = -169 + a. What is l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2447 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2445 or -2446?\nAnswer: -2446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -203, 2\/3, -12\/7?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etttttteee. Give prob of picking 3 t and 1 e.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148048 - -144?\nAnswer: -147804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*((-10)\/4)\/1. Suppose 2*d - 4*i = -36, 2*i = -3 - 5. Let k = s - d. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/6 + 122899*j\/6 + 307285 = 0.\nAnswer: -15, 122914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55 + -10dc?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21 - -1*(1 - -2). Suppose -4*g = -0 + m. Let z(j) = -j**2 - 5*j. What is z(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 129 = -0*i, -3*l - 5*i + 235 = -15*l - 113 + 85 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 5.53?\nAnswer: 0.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*z + 32, -3*b + 40 = -8*b + 2*z. Let n(j) = -2*j + 2. Let c be n(6). Let u = c - b. Which is bigger: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-5))\/2 + (-2885)\/(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 34820 - 35205 for g.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c2ba - 3?\nAnswer: -1c2c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005308692 rounded to five dps?\nAnswer: -0.00531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635 + 0*z - 5*z + 6*z - 3*z.\nAnswer: -2*z + 635","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/6*(0 - -2). Suppose 5*q = -z - 21, 2*z + 3*q + 10 + 4 = 0. Let x be (z\/(-1))\/1*2. What is the highest common divisor of x and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/3))**9*(h\/((h**(-16\/7)\/h)\/h)*h)**(2\/19) assuming h is positive.\nAnswer: h**(1684\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224475770.\nAnswer: 2, 5, 1061, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(10\/3)*m\/(m\/(m\/(m**(-3)*m)))*m**(-1\/4))**(-3\/38) assuming m is positive.\nAnswer: m**(-33\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2223 (base 6) to base 15.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1562*d**2 + 452*d**2 + 267 + 3733*d**4 - 267 - 865*d**4 wrt d?\nAnswer: 68832*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**3 - 572*b**3 - 619*b**3 + 654*b**3 - 471*b**3.\nAnswer: -993*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 9*v**5 + v**5 + (-v**4 - 2*v**4 - 2*v**4)*(-19*v - 17*v + 13*v).\nAnswer: 121*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - 2.5. Let j = -3 - p. Which is the nearest to j? (a) 1\/5 (b) -1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(68) + 0 + sqrt(68).\nAnswer: 5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-6)\/(-14) - (-119)\/(-49)). Let d be (-18 + 1 + 1)*-1. Sort k, d, -5.\nAnswer: -5, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 + v + 3. Let k(o) = 6*o**2 - 2*o - 3. Let r(q) = -4*i(q) - 3*k(q). Let y = -16 + 13. Determine r(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/(-52))\/(26\/416).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19346353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25459 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99596*z**4 + 158*z**3 + 14288577*z**2?\nAnswer: 2390304*z + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 77?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -30. Let p = -2.17 - -2.3. Put p, -1, s in decreasing order.\nAnswer: p, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 - (7 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 1. Let v(x) = 8. Let h(o) = -c(o) - v(o). Let n be h(9). Factor 2*s**3 - 2\/3*s**4 - n*s**2 + 2\/3*s + 0.\nAnswer: -2*s*(s - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112124*x + 370321 with respect to x.\nAnswer: 112124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -q - 3*q. Let y = 40 - q. Calculate the greatest common divisor of y and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/4 - (-8)\/16. Suppose -i*s = -3*v + 19, -5*v = -4*s + 11 - 34. Solve v = 2*j + j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 199*u**2 - 10*u + 7. Let d(t) = t**3 + 198*t**2 + 12*t - 8. What is 5*d(q) + 6*w(q)?\nAnswer: -q**3 - 204*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 510 - 402. What is the least common multiple of 32 and j?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -3*d - 3*z, 2*z - 163 = 5*d - 2*z. List the prime factors of -1037*6\/(-21) - (-10)\/d.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324360?\nAnswer: 2, 3, 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/19 (c) 9.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, b: 3, r: 2}. Give prob of picking 3 b and 1 p.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1499 - 171173?\nAnswer: -169674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2736) - -6*(sqrt(2736)*-2 - sqrt(2736)))**2.\nAnswer: -1581408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/75, 0, 0.5, -0.049, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22076 and 1969340975.\nAnswer: 1969363051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1067 + -602. Let w = 75794\/163 - v. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:34 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 544557 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11902127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*((483200\/15)\/(-8) - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0 + 0)*(-9846 + 179 + 2193).\nAnswer: -7474*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -83529 divided by -3\nAnswer: 27843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j - 3*j - 7*j + 0*j. Let t(k) = -15*k**2. Let b(v) = 8*v**2. Let s(n) = -11*b(n) - 6*t(n). Calculate s(w(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, -0.27, 0.2, -0.6, 16, 62, 5?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 287036016 smaller than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*c**4)*(c - 11*c - 4*c).\nAnswer: 28*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -570, -1086, -1600, -2112, -2622, -3130, -3636?\n\"Answer: u**2 - 519*u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -26*k**2 + 25*k - 7. Let g(d) = 13*d**2 - 12*d + 3. Let m(h) = 7*g(h) + 3*n(h). Find the second derivative of m(u) wrt u.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1957 - 4.2957. What is the second smallest value in 93, -20, -4\/3, g?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide -1 - 714\/((2\/4)\/(40\/(-15)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 169, 534, 1093, 1846?\n\"Answer: 97*t**2 + 74*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 11999 - 4094 = 2*i, -19752 = -5*i - a. Let z = i + -851. Round z to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 103*a - 8. Let x be s(4). Suppose -3 = 3*i - 9, 2*t - x = i. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 15*a**2 - 19*a - 3. Give z(-14).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -410\/21?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t**4 - 19*t**4 + 2 + t + 8*t**4 - 5*t**2 as f*t**4 + q*t**2 + g*t + c*t**3 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 10:54 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*b = -6*p + 897, 2*b - 657 = -3*p. Is p smaller than -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*w + 114*w + 121*w + 47 = 3*o, -8*o - 19*o - 5*w + 27 - 178 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o + 47 = 2*r, -84 = -4*r - 4*o. What is the greatest common divisor of r and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24219886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 22 - ((-4 - 2) + 0) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 not equal to -47089\/1025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2332 - -5004. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -58*a**2 - 4*a + 4. Let h(i) = -3*i**2 - i + 1. Let p(b) = -d(b) + 4*h(b). Let j(s) = -211*s**2. Calculate j(p(o)).\nAnswer: -446476*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 + 132. Suppose 276 = 4*k - 5*f - 5196, -k = -o*f - 1383. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 20*b**2 + 44*b - 12. Let y be k(22). Let x(o) = o - 8. Calculate x(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-1360)*34)\/((-138)\/(-4)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 23 = -3*z, -9*z - 34 = -11*z - 4*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 3*n**2 + 3*n**2 - n**3.\nAnswer: -n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-13))\/((-2)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1 = -h. Is 5\/(h\/(-152)) - 1 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 1:08 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -0.09784.\nAnswer: -1.27192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.68 - 47.68. Let t = s + 42. Let y = -2 - -2.1. What is the closest to -1 in t, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1881204 (base 9) to base 14\nAnswer: 1d73d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*f + 50, 102*f = -a + 103*f - 12 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + x**2 + 3. Let v be q(0). Let b = v - 6. Sort b, 4, 0 in descending order.\nAnswer: 4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 256, 358, 408, 382, 256, 6, -392, -962?\n\"Answer: -4*s**3 - 2*s**2 + 136*s + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 3, -7, -33, -81, -157, -267?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4 - -4) + -1 - 2) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2. Let q(o) be the first derivative of -3*o**2\/2 - 7. Calculate q(y(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2689781 + 268?\nAnswer: -2689513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 886 = -12*w. Suppose 5*y + 32 = 9*y. Let q = y + w. Calculate the highest common factor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/810*((-2151)\/(-66) + 4) and 13\/60.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 15. Suppose 3*g - p = 17. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m = 2, 3*l = -5*m + 29. Let c(n) = -3*n**2 + 6*n - 1. Let v be c(4). What is the least common multiple of -2 - v - (3 - 0) and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29+230\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(900)\/sqrt(12) - (5 + sqrt(9)\/sqrt(3))) + 4*(sqrt(432) + 0) + -3.\nAnswer: -4 + 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 10066117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2. Let g(m) = m**3 - 5*m**2 + 3*m - 8. Let t(o) = -g(o) - 3*z(o). Let i(x) = x**3 - 4*x**2 + 2*x - 2. Give -3*i(y) - 2*t(y).\nAnswer: -y**3 + 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2173320, -4346692, -6520064, -8693436, -10866808?\n\"Answer: -2173372*a + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 7*f + 5. Calculate the lowest common multiple of 1 and y(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.483 times -0.1659\nAnswer: -0.0801297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 2. Let b(p) = -12*p + 4. Let z(v) = v + 1. Let f(d) = -b(d) - 5*z(d). Let x(j) = 2*f(j) - 9*t(j). Let a(q) = -q. Calculate x(a(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 349\/328635 or 1?\nAnswer: 349\/328635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4 and -33\/1528.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*i**3 - 78*i**3 + 4 - 2 + 43*i**3 wrt i?\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1312599*x**2 - 22593752*x wrt x?\nAnswer: -2625198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 36 = -5*n + 26, 2*t = -n + 10. Let j be (-8)\/(-20) + n\/(-10). Let f(a) = 9*a**2. What is the remainder when 26 is divided by f(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.7 - -42.69999975. What is z rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44121184 divided by -558496.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257571 - 120642 = -73*u. What is the greatest common divisor of 66 and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242404 (base 5) to base 15\nAnswer: 2a6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10073776 and -16.1.\nAnswer: -10073792.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**2*y**2 + 13*o*y**2 - 23*y**2 wrt o.\nAnswer: -6*o*y**2 + 13*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.7099699 minutes?\nAnswer: 0.003965256875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5 - 3*p + 15 - 28 + 6. What is y(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/4 + 53*f**4\/4 + 455*f**3\/4 + 1075*f**2\/4.\nAnswer: f**2*(f + 5)**2*(f + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 6 = 5*k - 2*c, -c - 6 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 20*n = 4*z - 23, z - 2 = 0. What is the closest to 0.2 in n, 0.2, -5.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 9 - 39)*(3*j + 2*j - j).\nAnswer: -188*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -20231440024?\nAnswer: 20231440022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + 7*s**5 - 13 + (0*s**4 - 3*s**4 + 6*s**4)*(s - 3*s + 3*s) + (-5*s + 4*s + 0*s)*(-4*s**2 + 4*s**2 + s**4).\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 2, i: 2, p: 4, n: 9, g: 1}. Give prob of sequence nsp.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -291*q**2*s + 9219*q*s**3 - 1644303*s**3 wrt q.\nAnswer: -582*q*s + 9219*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -214*x + 209*x + 7, 0 = 6*p - 36 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -430*g**3 + 1432313 - 3*g**2 + 3*g**2 - 2*g**4 - 3*g - 1432314 in the form j*g**2 + x*g + b*g**4 + q*g**3 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 678212057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -162 - 25a089?\nAnswer: -25a240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -143104?\nAnswer: -143104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3738228 divided by 143778?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1402314 and 37\/114.\nAnswer: 1402314","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Total of 4.2 and -6.96855.\nAnswer: -2.76855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 26*q**2 - 10*q.\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000078262 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/5 - -13\/5. Let q = 0.6 - -3.4. What is the third biggest value in q, k, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c02b342 + -3?\nAnswer: -1c02b345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w + 7. Let t(q) = q + 1. Let o(a) = p(a) + 5*t(a). What are the prime factors of o(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from czrlrcrmxmrxzllxzz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.222 rounded to 2 dps?\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - -4. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 784\/8 - 34 - 88\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112797888*x - 100689721 wrt x.\nAnswer: 112797888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 + 35*d**2 - 38 - 35*d**2 - d + 24 - 11*d**3 to j*d**4 + x*d + w*d**2 + h*d**3 + f and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94.0127 + -94. Round b to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m - 75672 + 75827 = c, -2*c = -5*m - 25 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-24 - -11 - (-10)\/2) + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 7 - 2*n - n**3 - 3*n - 6*n**2. Let c be f(-5). Is 12 a factor of 37\/c - (-3)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. What are the prime factors of 30\/s + (-6)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 162709 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 638.7579ms to days.\nAnswer: 0.00000739303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522.31ng in kilograms?\nAnswer: 0.00000000252231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -379 - -788. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = 0. Suppose g*l - 3*l - 9 = -3*f, 2*f - 4*l - 8 = 0. Calculate the smallest common multiple of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 77?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/19 - 13120076*a\/19 - 21517049280722\/19 = 0. Calculate a.\nAnswer: -3280019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 5*x + 5*x)*(5*x - 10*x + 52*x + (4 + 0 - 2)*(2*x + x - 5*x)*(0 - 1 - 5)).\nAnswer: -213*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 14505?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 15*y - 82 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y - 11*y - 45. Let d(g) = 2*g**3 - 3*g**2 + g - 1. Let u be d(2). Suppose -u*o = -y*o + 308. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5)*c)\/(c*c\/((((c\/(c**(-6)*c))\/c)\/c)\/c))*c\/(c\/(c*c**(-4)))*c*c\/c**4)**(12\/11) assuming c is positive.\nAnswer: c**(-156\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, q: 3, e: 4, l: 2, o: 1, m: 2}. Give prob of sequence llqe.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 0, -16*p - 4964 = -21*p - 2*j. Calculate the lowest common multiple of p and 12.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(243)*1 + (sqrt(36)\/(sqrt(120)\/sqrt(10)) - sqrt(12)*-4)**2.\nAnswer: -9*sqrt(3) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.525368l to millilitres.\nAnswer: 9525.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 755? (a) 0.5 (b) 3 (c) -9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -1 - 30) + 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9177.1382788 - 9162.4381. Let u = -14.7 + w. Round u to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 273*p - 47. What is y(-136)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 12 + 7 + 3 + 4. Let x be z(-6). Solve o = 5*o + x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5728009357?\nAnswer: 7, 1193, 685907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -154*b**2 + 34*b + 5. Let d be j(10). What is d rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3642 divide 708887966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-70)\/42*12\/(-10). Solve k*o - 3*j + 7 = 0, 0 = -4*o + o + 3*j - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p + 7. Let m(y) = y - 2. Let a(h) = 2*b(h) + 7*m(h). Suppose -3*i - 14 - 4 = 0. Let v be a(i). Solve 3*g + 0 - v = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174 - 256. Let m = y + 52. Let r = 63 + m. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/3 - -11\/6. What is the closest to o in 4, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -23*n**2 - n + 45. Let f(i) = -18 - 133*i**2 - 98*i**2 + 209*i**2 + 62. Let s(l) = 3*f(l) - 2*k(l). Find the second derivative of s(c) wrt c.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 8. Let h be k(6). Suppose -o = 2*o + 5*x + 34, -20 = 4*x. Put 3, h, o in ascending order.\nAnswer: o, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1585941779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 101, 94, 87?\n\"Answer: -7*t + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -17. Suppose -q*r - 2 = 2*g, 5*r + 0*r + 3*g + 3 = 0. Suppose r = -0*p + 3*p - 12. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 0 + 10 + (-8 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1242*u - 105 = 1237*u. Calculate the least common multiple of 33 and u.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 298 and 62214652.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3) - (-15)\/(450\/110). Suppose -4*z + 14 = 2*d, f*z + 14 - 33 = -d. Is -15\/11 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1285 - 4*n**4 + 19*n + 1285 + (5*n**2 + n**2 + 0*n**2)*(-7*n**2 + 9*n**2 + 0*n**2) to the form y*n**3 + k*n + b*n**2 + r + h*n**4 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -v - 1084, -8*q + 732 = -6*q - 3*v. Suppose -36*d + 35*d = -q. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272642 is divided by 316?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1764)*1)\/(sqrt(12)*1*-1 - (sqrt(84)*1)\/sqrt(7)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*u - 11. Find the second derivative of 36383*k**2 - 152*k**4 - u*k - 36383*k**2 wrt k.\nAnswer: -1824*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*l + 28 = 0, -22 = 4*w - 6301*l + 6304*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 8*x + 7. Suppose 0*j - 5*b = 2*j + 41, -2*b = 3*j + 34. Let w be c(j). Solve -6*g = -2*g + 5*h + w, g + 3*h = -7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y + 14 = 2*c, -4*c - 2*y + 16 = 0. Suppose -9*h = -4*h + 15. Put c, h, 0 in descending order.\nAnswer: c, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 - 7*n - 20. Let o be g(8). Let b(q) = o*q - 190*q - 3 - 177*q. Let p(y) = 3*y. What is b(p(i))?\nAnswer: 15*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0 - 1 - 3 - 3 - 155*k**2 + k**3 + 150*k**2 - 33*k. Let h be z(9). Solve h = -4*b - 0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o. Let i(f) be the third derivative of 0*f**3 - 2*f**2 + 0*f + 0 - 1\/24*f**4. Give q(i(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19951709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((6\/(-4))\/((-18)\/24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229499.2139 rounded to the nearest ten?\nAnswer: -229500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 11*k - 10. Let p(j) = -j**3 + 6*j**2 - 8*j + 7. Let v be p(5). What is the tens digit of o(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142034 is divided by 1069?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0209 - -306.0209. Let k = y + -310. Which is the closest to 1? (a) 0.39 (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25811656 is divided by 113209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*t + 857*t - 65936 - 7202 = -988*t for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -562 + 1155121?\nAnswer: 1154337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 13) in base 15?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/23)\/((x*x*x*x**(-5\/3))\/x*x) assuming x is positive.\nAnswer: x**(-98\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13188934 and 13541?\nAnswer: 13188934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17512337 (base 8) to base 11\nAnswer: -2351444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -54*b + 216*b + 36 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -249 (b) 89 (c) 1 (d) -5 (e) -2\/9 (f) -1 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from jffffgwvffgfgffvgff.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)\/f)**(-36\/7)\/(f*f*f\/(f**(-1\/6)*f)*f**(-1\/11)))**(2\/57) assuming f is positive.\nAnswer: f**(13297\/13167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 303950*s - 911805.\nAnswer: -5*(s - 60787)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21675120.5 rounded to the nearest one hundred thousand?\nAnswer: -21700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -12*n**3 + n**2 + 4*n - 4. Let t(p) = 24*p**3 - 2*p**2 - 9*p + 9. Let l(z) = 4*t(z) + 9*u(z). What is the third derivative of l(o) wrt o?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -1. Let k = -309 + 308.6. Which is the second smallest value? (a) k (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8 - 0.46704.\nAnswer: 1.33296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1049, -2, -6845 in increasing order.\nAnswer: -6845, -1049, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 148459 to the power of 1\/2, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-10))\/((168\/(-35))\/(-2)). Which is the closest to -3? (a) 0.07 (b) x (c) 10 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 56 + 48 + 73)*(-10*z - 9*z - z + 6*z).\nAnswer: 42*z**2 - 910*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 6*t**2 + t + 13. What is c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyyeegggydgyg. What is prob of picking 1 d and 2 y?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 60.79248 millilitres?\nAnswer: 0.06079248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 10. Let n = -6 + 8. Let t(p) = p**3 - 2*p**2 + 2*p + 2. Let u be t(n). Let z = u - 6. Give b(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7 + -18.7. Let u = 15.8 + d. What is the second smallest value in 0.3, 1, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 403 + -538.058. What is a rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12356623 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461 = -364*j - 2087 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (41 + 1)*(-4)\/(-6). Let o(h) = -6*h - 47. Let a be (-2)\/6 + (-26)\/3. Let g be o(a). Calculate the highest common divisor of g and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9329, -9330, -9331, -9332, -9333?\n\"Answer: -j - 9328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x + 228. Let f = 115 - x. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22.5214 or 1390?\nAnswer: 22.5214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52, 60, 174, 290, 408, 528?\n\"Answer: h**2 + 109*h - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u + 4*m - 32, 5*m - 4 = 4*u. Suppose 5*l - 5*w = 135, 3*l - 4*l - u*w + 22 = 0. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i**2 - i**3 - 17 + 17 + 2*i**3 to d*i + v*i**3 + k + p*i**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/21)\/5*(3 - 3). Which is the nearest to 0.1? (a) -5 (b) -0.5 (c) 13 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) -3 (c) 11 (d) -5 (e) 2 (f) 5\/1311\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35080000 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-2170991.\nAnswer: 434198.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 8:14 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18667693789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01408 - -0.80112. What is z rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*y - 2*i + 12, -3*i = 4*y - 29. Let v = y - 8. Factor 28*p - 18*p + 3 - 13*p + 3*p**3 - v*p**2.\nAnswer: 3*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 5*z = -5, 4*i = 52*z + 55*z - 125*z - 70 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-1*1 - (sqrt(33)\/(sqrt(18)\/sqrt(6)) - sqrt(11))**2.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.14 (b) 0 (c) 1\/9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, j: 1, n: 1, c: 9, s: 4}. Give prob of picking 1 n, 1 t, and 2 s.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.17329 and 1993?\nAnswer: 1992.82671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 0*s**2 + 0*s**4 + 6\/5*s**5 + 0*s**3 - 140*s + 152. Find the first derivative of m(v) wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1043 + -842. Suppose 197*q = y*q - 72. Suppose -3*b - 4*r - 1 = -0*r, -4*r + 9 = 5*b. Calculate the remainder when q is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -5, -9, -3, 0 in increasing order.\nAnswer: -17, -9, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4680775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 3\/149, 66\/19, -0.2, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + -1 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(700)) - (sqrt(175) + (sqrt(175) - (sqrt(175)*2 + sqrt(175))*1)))**2 + 3.\nAnswer: 8578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, 140 in descending order.\nAnswer: 140, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 627 + -236. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91351, 182698, 274045?\nAnswer: 365392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*f + 356*f**4 - 14*f - 360*f**4 + (-2*f**2 + 5*f**2 - 5*f**2)*(0*f + f**2 + 0*f).\nAnswer: -6*f**4 - 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m = 42 - 162 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 6*b - 26. Calculate the remainder when n(11) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -f - 45. Let t(v) = v**2 + 7*v - 9. Suppose -2*r - 4*b = 14, -2*b = 2*r + b + 14. Let g be t(r). Does f = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 15. Let q(j) = 1. Let t(k) = g(k) + 15*q(k). Let x(n) = -9*n**2 - 2*n. Give t(x(l)).\nAnswer: 27*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14445 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n**2 - 41*n**2 + 17*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -8650 + 621. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25189 + -25066. Do r and 35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-5 - (-7 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 350975.877 rounded to the nearest 1000?\nAnswer: 351000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*k**3 - 25*k**5 - 51*k**3 + (-2*k**5 - 2*k + 2*k)*(1 - 1 - 2) + 4*k**5 - 4*k**5 + k**5 + 0 + 0 - k**5 + (0*k + 3*k - k)*(-k**3 - 2*k**4 + k**3).\nAnswer: -25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(171) + sqrt(171)*4 + 4 + 5) + -4)**2.\nAnswer: 840*sqrt(19) + 17296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 7\/(-357))\/(129\/54*-2) and 103\/344.\nAnswer: 5848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 210. Let l be j(-68). Solve -2*d + l = -0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2756915 to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*r - 13230, 57*r - 58*r + 6610 = j. List the prime factors of r.\nAnswer: 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 0.0677?\nAnswer: 0.9323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u - 49*u + 448 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**4 - 5*m**3 + 95*m**2 - 95*m**2)*(-3 - 11 - 15) in the form n*m**4 + c + f*m + d*m**3 + v*m**2 and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55\/3 - 19. What is the nearest to -0.3 in -4, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164151 is divided by 82075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12944129 and 11891.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-480)\/(-105) + (-12)\/21*1. Suppose s*f - 29 - 1 = -3*r, 5*r = -f + 16. Let b = 0 + 0. Solve c - f*c = b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -12, 4, 0.1, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 6*h + h)*(3 - 4 + 3)*(0*h - h - 3*h).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23957827 to three dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.078507\nAnswer: -0.0314028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let q be 0 + 3 + (t - 2). Solve 4*f = i - f, 5*i + 3*f = q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 7*i - 1. Suppose 7 = -13*p + 33. Suppose p*n + 3 + 9 = 0. Calculate g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 851*o - 1083. Calculate h(0).\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551773743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47\/3 - -16. Let c = 0.1 - 0.3. What is the nearest to c in 3\/5, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 5*u + 23. Let z be n(8). Let m be 3 + 1 + z - (-1404)\/(-432). Which is the nearest to -2\/7? (a) -1\/5 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 17, 39, 81, 149, 249, 387, 569?\n\"Answer: r**3 + r**2 - 2*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -12*i**3 - i + 1. Let b(a) = a**3 + 4*a**2 - a - 3. Let p be b(-4). Let l be h(p). Let r = l - -28. Solve 3*m + r = 5*q, -4*q + m = -5 - 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1360)\/952)\/(60\/35)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, 19, 62, 127?\n\"Answer: 11*d**2 - 12*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3381799057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*h - 8 = 0, p - 5*h - 1 = -p. Suppose -3 - 1 = -4*i. List the prime factors of i + -1 + (5 - p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*f**5\/2 + 19123*f**4 - 1581935*f**3\/2 - 1405225*f**2 + 488262*f - 38988 = 0 for f.\nAnswer: -2, 2\/13, 57, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -249088?\nAnswer: 1\/124544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 0*k**2 + 5*k**2 - 3 + k**3 + 5. Suppose -4*d - 4*p = -p + 1, -15 = -3*p. Calculate the smallest common multiple of f(d) and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/8 - 5*d**3\/4 + 9*d**2\/2 - 7*d + 4.\nAnswer: (d - 4)*(d - 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Suppose -20 - 5 = -5*y. Let h be -3*(8\/3)\/(-2). Let s(i) = y - h + 3*i - 1. Calculate q(s(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -465159 - -1?\nAnswer: -465158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxkx when four letters picked without replacement from xxkxkxkkxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**6\/36 + 2*a**5\/15 - a**4\/8 - 7*a**3\/9 - 2*a**2\/3 + 378. Factor f(h).\nAnswer: h*(h - 2)*(h + 1)**2*(h + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in -22, 0.04, -6, 5, 7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let a(u) = 2*u. Let l(v) = -a(v) + 3*j(v). Calculate l(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -249820, -499236, -748652, -998068, -1247484, -1496900?\n\"Answer: -249416*o - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -146633 and 111 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(sqrt(832) + sqrt(832)*3)*-4 - 1*(-2 + 2 + sqrt(832) + sqrt(832) - (0 + sqrt(832)*-2 + sqrt(832) + sqrt(832))))**2.\nAnswer: 48725248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Calculate the smallest common multiple of (-1 + -11)\/(-2 - -1) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2437886980 rounded to the nearest 1000000?\nAnswer: -2438000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45\/2 + 22. Let r = -0.4 - -0.1. Let o = r + 0.3. Which is the closest to o? (a) -0.2 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1421*j**2 + j**3 + 5*j**4 - j + 1 - 1421*j**2 - 4*j**2 + 4*j**2 - 4*j**4 + (-3 + 2 - 1)*(2*j**4 + j**4 - j**4).\nAnswer: -3*j**4 + j**3 - j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - (0 + -2 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (3 + 1)) + (-17 - -9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 204 + -204. Suppose 0 = s - 2*c - 244, 0 = 3*s - x*c + 5*c - 743. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from nzzcsznsszcnzsyz.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 365889371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-4 - -18 - 14)) + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 4*h**3 + 2. Suppose -5*f = -2*d - 3, 8*d = 4*d - 5*f + 9. What is the smallest common multiple of 4 and x(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -654*q**3 + 1 - 5 + 464*q**3 - 2*q**4 in the form w*q**4 + x*q + p*q**2 + v*q**3 + a and give v.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 - 3 = 0. What is the units digit of 93\/15 - p\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/12, -205, 6?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6 - 1 + 3 - 3*c**2 - 2*c - c**3 + 0*c. Suppose -2*p - 125 = -119. What is j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -1, 9, 5, -9286 in increasing order.\nAnswer: -9286, -7, -1, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9 = 4*o, -2*a + 6*a + 5*o + 3 = 0. Let z be (-7149970)\/(-50) - a*(-2)\/10. Round z to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = -3*n. Let m = -0.4 + 0.3. Which is the nearest to m? (a) n (b) 5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 2:45 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 14*i**2 - 7*i - 18. Is l(13) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (93\/(-45))\/((-8)\/50). Let x = 5561\/3 - 1838. Let m = x - o. Which is smaller: m or 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -23. Suppose 0 = -k*v + 4, 5*s + 4 = -4*v + 18. Solve 3*o + 7 = 2*o - 4*q, -s*o - 3*q = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -8, -1\/3, 4\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -4, 4, 6, -37 in decreasing order.\nAnswer: 6, 4, 3, -4, -8, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 451*a - 43710.\nAnswer: -(a + 141)*(a + 310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.013 - 0.01227. What is y rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 344838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -2f68?\nAnswer: -2f64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, -9, -29, -65, -123, -209, -329, -489?\n\"Answer: -u**3 + u**2 - 6*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11cb32 (base 15) in base 4?\nAnswer: 3100100132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of (88\/(-660))\/(6\/(-1341980)) - 4\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {u: 3, n: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**11*l*l))**(-33)\/(((l\/l**(2\/75))\/l)\/((((l\/(l\/(l\/(l*l**(-2\/3))*l)))\/l*l)\/l)\/l)))**(1\/40) assuming l is positive.\nAnswer: l**(29677\/3000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -13. Let b(k) = k**3 - 9*k**2 + 9*k + 10. Let c be b(j). Let q = -8 + c. What is the remainder when 38 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*j + j = 12, q + 5*j + 3 = 0. Let y be (-3*(q - 3))\/1. Suppose -5*p = 15, -4*h + 21 = y*p + 2*p. Solve -4*n + 2*r - h = 5, 3 = r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (-30 - -21) + -3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/766 and -3\/766?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-5360))\/(-5 + (-48088)\/(-9616)) - 9.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95865 divided by -79.\nAnswer: -95865\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/4*i**2 - 55\/2*i - 35\/4.\nAnswer: -5*(i + 7)*(3*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 1\/2, -4, 1\/3, 40, 0.01, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 92529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from yeeeyeeeeyyye?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**3 + 5*z**2 - 3*z + 2. Let r(q) = -3*q**2 + 198*q - 918. Let u be r(61). Let i(c) = 17*c**3 + 9*c**2 - 5*c + 4. Determine u*i(j) + 5*h(j).\nAnswer: -11*j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2 (c) 2\/13 (d) 16 (e) -71\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 259452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/16 and -9\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44938993 - 11255438 = 44*c - 38283153. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214663, -214661, -214659, -214657, -214655, -214653?\nAnswer: -214651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*c - 12967, 0*r + 2*c = 5*r - 16226. Suppose 4*x = -11*y + 15*y + r, 2*y = x - 807. List the prime factors of x.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-17))\/(0 + -1). Let y be (-19)\/(-4) + (-9)\/12. What is the closest to 0.1 in j, y, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 87.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 32*z - 56. What is the remainder when 13 is divided by f(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1, 51, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 545 + -365. Let n = -179.99999844 + d. Round n to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 360 - 349. Which is the closest to -2\/3? (a) w (b) 1\/4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:15 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 3. Let o = j - -3. Suppose 0 + 0*g - 1\/4*g**3 + o*g**2 = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 370827.7217818 and 0.1.\nAnswer: 370827.8217818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -38*p**6\/3 + 5*p**3\/3 - 3*p - 19. Find the third derivative of k(b) wrt b.\nAnswer: -4560*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1354854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 10 - 7)*(3*j**2 + 11 - 11) + j**2 - 2 + 2)*(-2*j**2 + j**2 + 0*j**2).\nAnswer: 41*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyquqqqyy. What is prob of sequence quyy?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 37 = 2*h + 182, 96934*a + 116 = 96930*a + 3*h for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395383220 divided by -46708.\nAnswer: 8465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = -38*v - 418. Sort v, -9, 1.\nAnswer: v, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1116490\nAnswer: 1116495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 810\/25 - 4\/10. Suppose -3*z + 5*z = 5*h + r, 5*h + 25 = 0. Solve w + s = -s - z, -5*s + 20 = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.78295303 rounded to 2 dps?\nAnswer: 12.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2018 and 1916.\nAnswer: 1933244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 16 - 17 + 7 + 491*u**2 - u in the form q + p*u + k*u**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68 (base 12) to base 7.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1510*h = 1014*h + 15376 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6654 plus 0.005?\nAnswer: 6654.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**4 + 17*d**3 + 25*d**2 - 28*d - 2. Let g(f) = 7*f**4 - 69*f**3 - 97*f**2 + 111*f + 9. Let h(u) = 4*g(u) + 18*k(u). Let h(o) = 0. What is o?\nAnswer: -2, 0, 3\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5))\/(y\/((y\/(y*(y\/(y*y\/(y**(3\/5)\/y*y)))\/y*y))\/y)))**(2\/5)\/((y**1)**(-2\/153)*(y\/y**(-1\/4))**(-1\/11)) assuming y is positive.\nAnswer: y**(-355667\/168300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 4*m**2 - 1. Let a be g(-2). Suppose -2*r - 2*n = 0, 3*r - 3*n - a = 11. Solve 2*b + 3*c - 3 = -0*b, -c = -r*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 502*a - 9325. Calculate the remainder when x(19) is divided by 191.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-198)*-11)\/(-2))\/(22\/30)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*s - 5*t + 3, 3*s - 14 = -t. Let q(w) = -w - w**2 - 2 + 3 + 4 - s. Determine q(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.02 < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-two fifths of a micrometer?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 10, r: 1, d: 7, z: 1}. Give prob of picking 1 u and 1 c.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 137.\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12793140413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 17*r**4\/4 + 15*r - 14. Find the first derivative of s(l) wrt l.\nAnswer: 51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 889*o - 21341. Calculate j(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1 - (-40 + 14 + -29)) + -9.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = w + 29. Is 1\/6 + (-843)\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4436*j + 4436*j + 7*j**2. Let w(t) be the second derivative of -t**6\/240 + t**4\/4 - t. Let n(q) be the third derivative of w(q). What is n(v(k))?\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -821612?\nAnswer: 821620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4131, -16546, -37245, -66234, -103519?\n\"Answer: -o**3 - 4136*o**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12530*h - 1 - 134428*h + 1 - 86265*h.\nAnswer: -233223*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12741773?\nAnswer: 11, 109, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 1 + 4 + 1 - 2 + 8*j. Let x be m(-8). Let v be 1\/((-1)\/1)*-3. Which is the nearest to x? (a) 1\/5 (b) v (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/(-2) + 3)*-2. Let h(n) = 4*n - 4. Let m be h(z). Solve 4*x + 20 = 2*r, 4*x + 0*x = r - m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46883200 to the nearest 100000.\nAnswer: 46900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -54. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-2\/117)\/(((d*d*d**(2\/15)\/d)\/d)\/d**(-8)) assuming d is positive.\nAnswer: d**(-4748\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -996216 divided by -9672.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 6600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322080369.\nAnswer: 3, 13, 635267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:54 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3 + 25*k**2 - 106*k + 120 = 0.\nAnswer: 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h. Let l(k) be the third derivative of k**4\/24 - 4*k**2. Give l(m(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in -2, -3, 0.1, 44.6?\nAnswer: 44.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2787 + 21*w**2 - 55*w**2 + 3367*w - 577*w + 31*w**2 = 0.\nAnswer: 1, 929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.9097637 - -14.91. What is x rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-508 + 33*h + 508)*(3*h - 2 + 2)*(1 + 2*h - 1).\nAnswer: 198*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 + (-11)\/(-15). Let d be ((-32)\/264)\/(12\/(-18)). Let m = 0.13 - -4.87. Put d, m, o in increasing order.\nAnswer: d, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1549 and 252302669.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 6. Let u = -949 - -951. Let o be (-85)\/(-153) - (-6)\/(-54). Sort -2\/11, z, u, o in ascending order.\nAnswer: z, -2\/11, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19966 is divided by 6582?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*k - 2*r, 35 = -50253*r + 50248*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11613878 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 2 (b) -0.07 (c) -2\/169 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-4966)\/(-3) + (-6 - (-120)\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - (-2 + -36)) + (-2 - (26 + -1))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -86\nAnswer: 34.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-12))\/b**3)\/(b**(2\/13)\/b)**43 assuming b is positive.\nAnswer: b**(603\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-170)\/(-45) - (-2)\/9. Suppose 0*f = c*f + 4*w - 784, -5*w + 785 = 4*f. What is the highest common divisor of f and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 638609, 1277197, 1915785?\n\"Answer: 638588*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 727.9208 + -728. Let s = -0.2792 - p. Which is the smallest value? (a) -3 (b) -25 (c) 2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 10, -5, -189 in descending order.\nAnswer: 10, 5, -3, -5, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 892 - -441. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(-30)*-3*7\/(56\/16).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 266\/56*14964\/2451\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwcexeccegxebee. What is prob of picking 2 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxnkkkzxknkkzqk. Give prob of sequence qn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (39\/6*1)\/((-12)\/(-48)). Let c = -26 + k. Suppose -5*l + 340 = -2*d, c = -2*l + 3*l - 2*d - 68. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (-8)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*1 + -3 + 4)**2.\nAnswer: 20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/12)\/(6\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 604*n**2 + 9065*n + 315. Calculate g(-15).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 19136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 9) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 3)*(80 - 5464*z + 1770*z + 79 - 244 + 85) in the form j*z + q and give j.\nAnswer: 7388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 221, 229, 241, 257?\n\"Answer: 2*n**2 + 2*n + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -19\/4, -5, -11.7, 4, -0.4 in decreasing order.\nAnswer: 4, -0.4, -19\/4, -5, -8, -11.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t**2 + 1. Let r(h) = 6*h**3 - 5*h**2 - 5. Let q be (-3)\/((-12)\/(0 + 4)). Calculate q*r(k) + 5*y(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 14*b + 19*b = -48368, 3*p - 145152 = -b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*l**2 + 161*l**2 + 2 + 45*l**2 + 318*l**3 + 231*l**2 - 37*l**2 wrt l?\nAnswer: 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11646.37 to the nearest ten.\nAnswer: 11650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 2, e: 3, a: 1, b: 1, z: 4}. Give prob of picking 1 b and 2 y.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7563.09 - -378299.\nAnswer: 385862.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + 3 + sqrt(700) + 2*sqrt(700) + -1 + 5)**2*4.\nAnswer: 1200*sqrt(7) + 25300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -7620443?\nAnswer: 7620442.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39686, -80171, -120656, -161141, -201626, -242111?\nAnswer: -282596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8802)\/2445)\/((-12)\/(-160)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*z = z + 60, -2*a - 4*z + 12 = 0. Suppose 2*c = -a + 58. What is the lowest common multiple of -2 - (-17 + -1)\/1 and c?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnwwtnnppttnptnnnpn. What is prob of sequence tpw?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fefe when four letters picked without replacement from {e: 3, f: 17}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 0)\/(7\/(-133)). Let k = -77\/2 + u. What is the third biggest value in -2\/13, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*2)\/((sqrt(96) + (1*sqrt(96) - sqrt(96)))\/sqrt(12)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13397258 and 126157?\nAnswer: 3077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 34687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.3 + 3.7. Let h = m + -17.5. Let s = -57 + 62. What is the second biggest value in h, s, -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 53*c - 358. What is i(4)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 65*v**2 - 35*v - 35. Let n(o) = -11*o**2 + 6*o + 6. Let r(z) = -35*n(z) - 6*w(z). Let t(u) = -2*u**2. Give t(r(b)).\nAnswer: -50*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 19 = 4*s, -4*s + 14 = -b + 3*b. Suppose s = l - 11. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(108) - (1 + sqrt(1584)))**2 + (sqrt(99) + (sqrt(99) + sqrt(99) + -1*sqrt(99))*-1)\/sqrt(9).\nAnswer: 70*sqrt(11)\/3 + 13484\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.7 + -19. Sort 3, k, 2\/7 in descending order.\nAnswer: 3, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17094933, -34189856, -51284779, -68379702?\n\"Answer: -17094923*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:05 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Let w(d) = 5*d + 38. Give 3*c(s) - w(s).\nAnswer: -2*s - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-88)\/22 + (-6)\/(-1). Suppose -5*d + 14 = -2*k - 16, 2*k = t*d - 30. What is the nearest to -1 in 2, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846746 to the power of 1\/2, to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 42?\nAnswer: 53\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/3)*l*l)\/l)**31)**(-44) assuming l is positive.\nAnswer: l**(-5456\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 8*f**2 + 7*f + 12. Suppose 2*s = 4*s - 18. Let r be j(s). Let u = 13 + r. Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117288 divided by 12?\nAnswer: -9774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 505*q**7\/42 - 17*q**3\/6 - 35*q**2\/2 + 7470*q. What is the second derivative of c(h) wrt h?\nAnswer: 10100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2102071411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 3)*58\/87. Solve c*f + 16 = 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwqwwwwwqqwqwqqwwqw. Give prob of sequence wqqw.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 3*a - 1276 + 1175.\nAnswer: -a - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -2.3765?\nAnswer: 11.8825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, 0.4, 0.3.\nAnswer: -1\/12, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + g - 3*g)*(-g**2 - 2*g + 2*g - g**2 - 6*g**2 + g**2 + (-1 - 1 + 0)*(5 - 2*g**2 - 5)).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-47 + 37 - -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 - 0)\/((-256)\/15147904) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/296 and -43\/36751064?\nAnswer: 36751064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h + 11*h - 2*h + 6*h. Let n(c) = -4*c**2 - 3. Let j(u) = 9*u**2 + 7. Let v(f) = 3*j(f) + 7*n(f). Calculate o(v(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -1\/23 (c) 3.75 (d) 5 (e) 28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1240 divide 60361212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 1\/8*o**4 - 1\/40*o**5 + 0*o + 0*o**2 + 6 - 1\/360*o**6 + 7\/3*o**3. Let c(v) be the third derivative of q(v). Give c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -58.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 9*u**4\/4 - 7*u**3\/3 + 1. Find the third derivative of i(f) wrt f.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9403 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p + 3 - 3)*(5*p + p - 5*p) + p**2 + 0*p**2 - 3*p**2 - 438 + 438 - 8*p**2)*(2*p + 2*p - 2*p).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 30. Let p be (4 - 20\/(-8))*b. Sort p, -1, -2 in descending order.\nAnswer: p, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 1115*z - 1116*z - s - s, -26 = 4*z + 3*s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 9 - 11 + 5*c**2 to the form j*c**2 + f*c + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s - 10*s**2 + 3*s + (s + 3*s - 6*s)*(s + s - 4*s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 - 1325*x**3 + 725323005*x + 25328*x**2 + 6956*x**3 + 2957902596 - 104269*x**2 - 3436648*x**2.\nAnswer: -3*(x - 627)**3*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492584.\nAnswer: 2, 67, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237 + -231. Solve -28 = -4*r - 5*g, g + 20 = i*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-2) - (1 - 3 - -3). What is the biggest value in f, -0.1, -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + 2. Let z be f\/(-44) + (6\/4 - -1). Suppose 4655 - 1381 = z*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6086, 6058, 6030?\n\"Answer: -28*o + 6114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 32*o + 18. Let q(d) = -d**3 + 14*d**2 + 2*d - 21. Let j be q(14). Let l be i(j). Let s = l - 87. List the prime factors of s.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0803 + 156441239738.\nAnswer: 156441239737.9197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*y - 2 + 4 = 0, 4*k = -5*y + 22. Let o be ((-3)\/(-12))\/(2\/20). Are o and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/67131?\nAnswer: -1\/67131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**4 - 18*w + 18*w)*(135 + 66 - 247).\nAnswer: 276*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/9)*h*h*h\/(h*h**(-4\/5)*h*h)*h\/(h*h**(-3\/5))*h**(4\/3))**(-5\/16))**6 assuming h is positive.\nAnswer: h**(-133\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/(-28) + 27\/18. Let d be 1*8\/10*50\/(-60). What is the smallest value in 0.3, 0.4, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1615.776 grams in kilograms?\nAnswer: 1.615776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/36908 and -33\/10.\nAnswer: 184540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 179 = -3*v, 5*r - 320 = 5*v + 6*r. Let a = v - -66. Solve -a = -t - 2*k, -3 = 4*t + t + 4*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -17*a**4\/12 - 39*a**3\/2 - 32*a**2. What is the units digit of z(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 63213, -1 in decreasing order.\nAnswer: 63213, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -68 (b) 4\/3 (c) 3 (d) 592\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x - 3*b + 3 = 0, 5*x - 20 = 5*b. Solve -x = 5*v - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f - 42 = -3*m, -2*f + 55 = 5*m. Suppose 2*z - 4 = -2. Suppose -c + 25 = -z. What is the remainder when c is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -75, -108?\n\"Answer: -33*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4606513 to the nearest integer?\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**3 + 2*u + 2. Let x(s) = -s**3 - s - 1. Determine 2*a(b) + 4*x(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-247)\/1045 - 3\/(-5). Suppose -3*v - 39 = -9. Let u be (-4)\/v - (-3)\/5. Is q >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -272910, -545494, -818078, -1090662?\n\"Answer: -272584*n - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:51 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145499120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2258 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66180, -66161, -66140, -66117, -66092, -66065, -66036?\nAnswer: -66005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuqwqwq. Give prob of picking 3 q and 1 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*d + 4*j, -2*d = d + j - 52. Let b = d + -45. Is (-4650)\/b + (-10)\/(-65) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -677 + 997. What is o rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 927*u**2 - 1396 wrt u.\nAnswer: 1854*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - 0.17. Let a = -310008.149977 + 310008. Let r = v - a. Round r to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2753 - -2763.924. Round w to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-9 - -13) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 19*m - 4. Calculate o(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1378*m**3 + 391*m**3 + 831*m**3 + 284*m**3 + 724*m**3 + 105*m**3.\nAnswer: 957*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 18. Let t be (-33)\/121*(-2)\/(-3). Which is the second biggest value? (a) t (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - 2*p + 2. Let f = 128 + -130. Determine x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 17. Let i be 8\/g*(-28 - 2). Suppose -y - 2*c = -6*c - i, 2*y = -3*c + 116. What is the highest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 501?\nAnswer: -501.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 808868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5.76615 - -5\nAnswer: 10.76615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7*t = -2*t - 103, 2*p + 5*t - 196 = 0. Solve 13*b + 28 = p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 19 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppapkap. What is prob of picking 2 a and 1 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22023 (base 4) in base 11?\nAnswer: -542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 1:25 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-2\/3)*c*c**(-1))**(-4\/9)\/((c**(-2\/7)\/(c*(c**(1\/4)*c)\/c*c))\/(c**6*c*c**4)) assuming c is positive.\nAnswer: c**(9337\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 5. Suppose 4*a = -2*u + 12, 2*a = 4*a + z*u - 10. Find the third derivative of 18*q**2 - 24*q**2 - 24*q**a + 2*q**3 wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76808, 77150, 77714, 78494, 79484, 80678, 82070?\n\"Answer: -a**3 + 117*a**2 - 2*a + 76694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 = -11*s + 2*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3465\/75 - 320\/16 - 25)\/39?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 7, -1\/11, 0.3, 2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*n + 46*n - 191*n + 90*n.\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 421813*l**2. Let j(v) = -352*v. Calculate o(j(p)).\nAnswer: 52264317952*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**3 + 27*a**2 - 19*a + 15. Calculate r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39*87\/(-5655)*(-105)\/(-1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 430313879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = 2. Suppose -3*j = -2*c + 25, c - l*j - 52 = -3*c. Find the second derivative of c*h**4 + 7*h + 13*h**4 - 22*h**4 wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(0 + -473)*234\/(-26).\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 1:50 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 209\/110 + (-99)\/55 - 62\/(-580)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 12. Suppose 14 - 7 = -d. Let v be a(d). Let p be (1 - 3)*9\/v. Solve 6*h + p = 3*h, -2*m - 5 = h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -524, -981, -1438, -1895, -2352, -2809?\n\"Answer: -457*x - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, d: 3}. What is prob of sequence ddd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 213 = 3*s, -5*m - 4*s + 48 = -195. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**4 - 535*j**3 - 8535*j**2 - 15485*j - 7480 = 0.\nAnswer: -88, -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 + 24 = 0. Let h = 66 + -64. Suppose -g = h*b - 286. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7 + 1 - 5 - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(3146) - 2*sqrt(3146)) + sqrt(3146) - sqrt(3146))*-6*-6)\/(4*5*sqrt(6)\/(sqrt(3) + -2*sqrt(3))))**2.\nAnswer: 127413\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 9. Let k be (-4)\/12 - 2\/v. Suppose -m = -3*f + 445, -2*m = -k*f + 2*f - 302. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -1\/2*z**2 + 8 - 2*z. Determine p(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 10*t**2 + 5*t. Let r(h) = h**2 + h - 1. Calculate -p(x) + 3*r(x).\nAnswer: x**3 - 7*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-6))\/(23\/(-138)). Does 12 divide 32794\/30 - (r\/(-60))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**5 + 23*o**5 + 118*o**3 - 13*o**5)*(-35 + 37 - 51).\nAnswer: -49*o**5 - 5782*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*a**5 - 132*a**4 - 352*a**3 - 336*a**2 - 64*a = 0. What is a?\nAnswer: -4, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -27974.8 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**2 - 8*s + 4. Let a be x(12). What is a rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**2\/2 + i - 5. Let n(y) be the first derivative of 3*y**2 + 3*y + 1. Let l be (-1)\/2*(8 - 10). Calculate l*n(p) - 3*g(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758*i - 69450 = -4*l - 753*i, -4*l + 69430 = 5*i. Is l a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 12. Let k = -1.8 - i. Let g be (-2)\/(-8) - 1\/(-4). Which is the closest to g? (a) -3 (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18870\/(-7650) - (1 + -4)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q + 15. Suppose 0*w + 30 = q*w. What is the remainder when ((-4)\/6)\/((-1)\/w) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/220 and 61\/12980.\nAnswer: 12980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 4\/7, 0.1, -2\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236743?\nAnswer: 13, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(-b**3 - 2*b**3 + 6*b**3) + 3*b**3 - 4*b**3 + 5*b**3 - 2*b**3 + 2*b**3 - b**3 + (-3*b**2 + b**3 + 3*b**2)*(0 - 2 + 0))*(-9 - b + 9).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.38 + 0.52. Let p = o + -5.1. Let r(s) = -s - 5. Let d be r(-3). Put 2, d, p in decreasing order.\nAnswer: 2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 + -99.00000086. Round x to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 683, 1515, 2675, 4163, 5979, 8123?\nAnswer: 10595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 9934\/959 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.821 - 2.021. What is the biggest value in d, -31\/30, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (70\/(-7))\/10)\/((-30)\/(-255))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 5*w**2 + 232767290 - 232767290.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (72 - 4\/2)\/((-19)\/(-38)) is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8534, -34420, -77616, -138128, -215962, -311124, -423620, -553456?\nAnswer: -700638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*b**2 - 216296*b + 188016963 wrt b.\nAnswer: -102*b - 216296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9}. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/4 + 3*k**4\/4 - 7*k**3\/2 - 3*k**2 + 10*k.\nAnswer: k*(k - 2)**2*(k + 2)*(k + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 - 36*t + 203. What is m(5)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*u**3 + 5*u**2 - 22 wrt u.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (1*(-2*sqrt(70))\/sqrt(10) - (sqrt(7) + -1 + 2)*-6)).\nAnswer: 16 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-662)\/1655*1\/((-9)\/10)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 39*t - 1. Let h(u) = -1245*u - 39. Let x(i) = 64*i + 2. Let b(k) = -6*h(k) - 117*x(k). Give y(b(j)).\nAnswer: -702*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -291, -416, -541?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 106 = -6*z + 2*z + 30*w, -2*z = 2*w - 32 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 369746 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7327.\nAnswer: 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 559493.\nAnswer: 2237972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1 - sqrt(91))*1)\/(-1*sqrt(343)) + -5 + -2 + (-2*sqrt(637))**2.\nAnswer: 2*sqrt(13)\/7 + 2541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23.46 + 25. Let z = 0.17 - b. Let r = z + 1.433. Round r to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 9:00 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q**2 - 14*q - 15. Let n(j) = -12*j**2 - 13*j - 15. Let g = 9 - 3. Let o(l) = g*n(l) - 7*f(l). Find u such that o(u) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-24)*(-12)\/(-66)*11. Let p(n) = n**3 + 2*n**2. Let j be p(-2). What is the closest to j in 16, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m\/m**(-2\/7)))**(2\/103))**(-10\/3)*((m**0*m)**(-3\/34))**(-47) assuming m is positive.\nAnswer: m**(306343\/73542)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212\/28 + 7774\/(-1014).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 36. Suppose j = -t*j. Suppose 3*c = -5*o - 149 + 390, 5*c + 5*o - 385 = j. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -680.122 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*p + 4*p + 10*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3050977 is divided by 338997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + u**3)*(0*u + 0*u - 2*u) + u**4 + 0*u**4 - 2*u**4 + (-3 + 3 + u**2)*(-2*u**2 - u**2 + u**2).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 230106 - -4532?\nAnswer: 234641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*v - 14 = -4*c, 4*v = 4*c - 24. Suppose -g + 30 = 2*t, -6*t + c*t = -3*g - 22. Let i(r) = r**2 - 14*r. Determine i(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*k + 3*k - 5*k as y*k + c and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 9*s = -20. Let b = 60 + s. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 - 18538*r**3\/5 - 3708*r**2.\nAnswer: 2*r**2*(r - 9270)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7*14*(-126)\/756\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6299*m. Let a(v) = -8*v**2 + 7*v + 57. Give l(a(u)).\nAnswer: -50392*u**2 + 44093*u + 359043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306336 divided by 32.\nAnswer: -9573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 2, r: 2, g: 2, b: 2, o: 5}. Give prob of picking 1 w and 1 r.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9 - 15)\/((-9)\/(-6))*-494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**3\/3 + k**2\/2 - k + 8. Give j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.5. Let v = z - -0.7. Let p = -1\/6 - -5\/12. Which is the third smallest value? (a) -0.4 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 1. Suppose -3*h = -2*h - 5. Suppose h*k - 5 = -0. Let b(r) be the second derivative of -r**3\/6 - 3*r**2\/2 + r. Calculate k*b(l) - 3*o(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -231*w + 78. Let c(u) be the second derivative of 77*u**3\/3 - 26*u**2 + 12*u + 2. Let x(n) = 8*c(n) + 5*r(n). Differentiate x(j) wrt j.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -97.3 + 91. Let l = b - -42.3. Let p = l - 35.9. What is the nearest to 0.1 in p, 1\/2, -0.8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1587, -1649, -1737, -1851, -1991, -2157, -2349?\nAnswer: -2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -732\nAnswer: 585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.2037 and -4.\nAnswer: -44.8148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10720 is divided by 2619?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + 71. Let d be (-3 + 28)*(-1 - q). What is the highest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) + sqrt(68) + sqrt(68) + sqrt(68) + -1*sqrt(68) + sqrt(68))*2 + sqrt(68))\/(sqrt(4) + sqrt(324)*1) + -2.\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -23. Let p be (-480)\/(-36)*(d + 2002499). What is p rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*n**3 - 9*n**2 + 177*n - 170280?\nAnswer: -114*n**2 - 18*n + 177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3642.75515 + 808189505.24485. Let g = f - 808193157.00000018. Let w = g + 9. Round w to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + 10*t**2 - 14*t + 106. Let y(m) = -3*m**3 - 16*m**2 + 23*m - 159. Determine -8*q(k) - 5*y(k).\nAnswer: -k**3 - 3*k - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((-935)\/(-34) + -15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, s: 2, m: 4}. Give prob of sequence lmms.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/20 - 22\/8. Let a = k - -6. Suppose a*q = i - 0*i + 2, -2*q = -i - 4. Is i > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1847, 7817, 17743, 31607, 49391?\nAnswer: 71077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2205 divide 348296015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.027 - -0.4\nAnswer: -2.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-610)\/26535 + (-8)\/(-348)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 141014?\nAnswer: -141022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23987786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 411, 1523, 3369, 5943, 9239, 13251, 17973?\n\"Answer: -z**3 + 373*z**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 l when three letters picked without replacement from {e: 2, l: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732334.\nAnswer: 2, 366167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 987, 1977, 3023, 4119, 5259?\nAnswer: 6437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**2 - 8*k + 7. Let q(j) = 15*j**2 + 15*j - 13. Suppose -4*m + 6*m + 12 = 0. Give m*q(s) - 11*r(s).\nAnswer: -2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20001200211 (base 3) in base 16?\nAnswer: -1d227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39161, -39162, -39163, -39164, -39165, -39166?\nAnswer: -39167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, f: 3, u: 4}. What is prob of picking 1 z, 2 u, and 1 f?\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201000 (base 3) in base 6?\nAnswer: -5430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 plus -13?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/9 (b) 5 (c) 472\/1337 (d) 2 (e) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084664736?\nAnswer: 2, 7, 11, 107, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8080615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 198882.\nAnswer: 198882.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5774 + 5777. Let a = -71\/6 + 12. Factor -1\/3*w - a*w**4 + 1\/6 + 1\/3*w**t + 0*w**2.\nAnswer: -(w - 1)**3*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7758784.\nAnswer: 2, 11, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.26+2189545671105\nAnswer: 2189545671104.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k. Let r be q(4). Let y = r - 49. What are the prime factors of (8\/(-12))\/(2\/y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 104*t - 4232. What is z(79)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 8, -6, -2.\nAnswer: -12, -6, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**3*l**2*w + 2*k**3*l*w**2 + 96*k**3*w**2 - 2*k**2*l*w**2 + 2*k*l**2*w**2 + 2*k*l*w**2 + 44*l**2*w**2 wrt l.\nAnswer: 6*k**3*w + 4*k*w**2 + 88*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 39. Is 488 - (-4)\/(o - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 131273.873 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 3.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 14. Let g(v) = -v**3 - 3*v**2 + 8. What is the smallest common multiple of 20 and g(y)?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (-27 - -90) - 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81 times -1592887?\nAnswer: -1290238.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737*n - 185 = 922*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/8 + o**5\/30 + o**4\/24 - 2*o**2. Calculate the remainder when p(-1) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkss when four letters picked without replacement from skkvvssksvs?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 14*g**2 - 10*g - 73. What is x(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47466 + -284795\/6. Factor 1\/6*s**3 - h*s**2 + 0*s + 0.\nAnswer: s**2*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2135 by 427.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 10. Solve 3*r = m - 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m. Let w(f) be the second derivative of -f**5\/30 + f**2 + 4*f. Let x(l) be the first derivative of w(l). Give d(x(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4741327*g**5 + 6009505*g**2?\nAnswer: 284479620*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5401296 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -99*(-18 - 2282\/(-126))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 divided by -1?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, h: 4, c: 1}. Give prob of sequence hp.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164 and 1186608.\nAnswer: 48650928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 3*s**2 + 3*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39337 + 2?\nAnswer: -39335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 5*z + 8. Let b be a(3). Solve 3*q + l + b = 3*l, 5*q + 4*l = 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2964654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1491\/27 - (35\/(-45) + 1). What is the first derivative of -36*x + 81*x - 45*x + n + 200*x**3 wrt x?\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-150)\/120 + 593\/4. Which is smaller: 145 or i?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 165912*u**3 - 14307*u**2 + 5.\nAnswer: 995472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**4\/6 + p**3\/2 + p**2. Let n be o(-1). Let m be (n\/21)\/((-2)\/(-6)). Solve 0 = -3*i - 2*f - 10, -m = -2*i - 5*f - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52.36257l?\nAnswer: 52362.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 22 in ascending order.\nAnswer: 2, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2. Let n be 0\/4*(-2)\/4. Let r = 3 - n. Let m(g) = 3*g - 3*g + r*g. Calculate t(m(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2313638, 9254528, 20822674, 37018076, 57840734?\nAnswer: 83290648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a = 15. Let x = 40 + -23. Suppose 4*i + x = 5*j - 0*j, 14 = 2*j + 2*i. What is the greatest common divisor of a and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r - r + r)*(-96*r**2 + 23*r**2 - 3*r**2 + (-r - 2*r + r)*(2*r - r - 2*r)) to a*r**3 + c*r**2 + z*r + g and give a.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -422 + 43*t**2 - 9*t**2 - 38*t**2 + t**2 - 3*t**2 + 0*t**2 - t**2 + 0*t**2 + 0*t**2 + (-t - 2*t + 5*t)*(2*t + t - t).\nAnswer: -3*t**2 - 422","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/(3\/6*-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7388 is divided by 277?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16552, 27041, 37530, 48019, 58508, 68997?\n\"Answer: 10489*v + 6063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence illl when four letters picked without replacement from lliiiiillilill.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/17 - 3072*n**3\/17 - 82566*n**2\/17 + 2836232*n\/17 - 2750592\/17 = 0.\nAnswer: -1508, -48, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11ec5 (base 15) in base 7?\nAnswer: 326105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 7*h)*(-3*h - 3*h + 4*h)*(2 - 4*h - 2) - 12*h**3 - 2*h**3 + 3*h**3.\nAnswer: -35*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*u = -246*u - 25968. What are the prime factors of u?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + (-18 - (-26 + -12) - (-9 - -41)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, 1, 1.0172, 4 in decreasing order.\nAnswer: 4, 1.0172, 1, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6039 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 - 52*d + 12. Calculate j(-16).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(4))**2 - (sqrt(11) + (sqrt(176) - sqrt(176)*2) + sqrt(11))**2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370647526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346219 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102*d**2 + 39381*d - 3474.\nAnswer: -3*(d - 386)*(34*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4724.\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -347981 and -348228 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:55 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -2*k**7\/105 - 41*k**6\/30 + 14*k**5\/5 + 49*k**2 + 1. Let n(m) = 0. Calculate m.\nAnswer: -42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -22331?\nAnswer: 22323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3\/4 - 23*l**2\/4 + 157*l\/2 - 132 = 0?\nAnswer: -33, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 6\/473, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 - -182\/3. Which is bigger: h or -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 1. Let k = 0.2 + u. Let y be 138\/624 + (-6)\/(-39). Which is the smallest value? (a) k (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/13, -2\/131, 0.2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -25*x**2 + 14665*x + 20603. What is j(588)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18688 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -140229880 divided by -42910?\nAnswer: 3268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1.8, -0.1, -2\/7, 2, -13, 2\/5, 37?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 - 1158*l**2 + 1156*l = 0. What is l?\nAnswer: 0, 1, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 3. Let p = o - 11. Let y(f) be the third derivative of -f**4\/12 - 5*f**3\/6 - f**2. What is y(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3114\/277831 or 0?\nAnswer: 3114\/277831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7098722 is divided by 249.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvivvwvaviibawq. What is prob of picking 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19*-686.2\nAnswer: -13037.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 0 = 2*j - 2*f, -5*j = 3*f + 35. Let o(s) = 13*s**2 + 25*s - 11. Let v(p) = 7*p**2 + 13*p - 6. Let a(i) = -6*o(i) + 11*v(i). Give a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 16*a**2 + 7*a - 7. Let f(g) = -7*g + 17*g**2 - 6*g**2 + 12*g - 3 - 2. Determine 5*d(b) - 7*f(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1500)\/975*13)\/(-1*1*22)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3304 (base 5) to base 14\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1339, -4, -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 1. Let r be w(1). Let g be (3\/3)\/(r + -2). What is the nearest to -1 in g, 3, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) -83 (c) 1176 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**5*w\/(w\/(w\/(w**(2\/9)\/w*w)))*(w**(-5)*w*w)\/w**(-6) assuming w is positive.\nAnswer: w**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 66 = -u. Suppose 4*d - 5*c + 0 = 29, u = 5*d - 3*c. Suppose -2*b - 2 = 0, 5*b - 3 = -d*w + 4*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5121 + 5125 + 5119 - 20487 + 2*m + 5128.\nAnswer: 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + -4 + 1 + 2. Suppose f = g + 2*j, 2 = -2*g + 2*j - 4. Suppose -24 - g = 5*n, 0 = 5*l - 3*n - 50. Solve 2*c - 5 = l*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8354947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126971?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (134\/(-8))\/((-11)\/8). Let d = k - 12. Is -1 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 439 - 224. Let v = c - -299. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + t**3 - t**4 + t**4 + 3*t**4 - 2*t**4 + 2*t**4 + 5*t**4 + t**4 + (-1 - 2*t + 1)*(2*t**3 - 2 + 2).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35315553 and 0.3.\nAnswer: -10594665.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26523 (base 14) in base 3?\nAnswer: -11210100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)*u)**35*u*u**(-12)*u\/(u*u*u**(5\/2)) assuming u is positive.\nAnswer: u**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25310, -50696, -76082, -101468, -126854, -152240?\nAnswer: -177626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.24 and -5526688.\nAnswer: -1326405.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62681039 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-16))\/1*-8. Let f be 1*(-4 + 3)*w. What is the nearest to -1 in 2\/9, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**(1\/3)*o)\/(o\/(((o\/((((o**6\/o*o)\/o)\/o*o*o)\/o*o*o))\/o)\/o)))\/(o**(1\/3)*o)**(-9)*(o**(-3)*o*o*o**(1\/2))**(-10) assuming o is positive.\nAnswer: o**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -5. Suppose -s = -0*s - 15. Is (-288)\/s*(-20)\/u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0.11800586?\nAnswer: -9.88199414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 - 133. Let r(j) = -j**3 - 8*j**2 + j + 11. Let u be r(m). Suppose -7*z + u*t - 1 = -8*z, -t + 1 = 0. Sort 5, z, 30, 3 in descending order.\nAnswer: 30, 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.5 + -9.34. Let t = -2.1 + a. Put -3\/2, t, 0.2 in decreasing order.\nAnswer: 0.2, t, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079\/75543 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 99648122.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 - 96. Let i(l) be the third derivative of -3*l**2 - 1\/80*l**6 + 1\/32*l**4 + m + 1\/8*l**3 + 1\/280*l**7 + 0*l - 1\/40*l**5 + 1\/448*l**8. Factor i(a).\nAnswer: 3*(a - 1)**2*(a + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 + u**2 + 3. Let d(c) = -8*c**3 + 1033*c**2 + 1636. Let j(z) = -d(z) + 2*y(z). What is the derivative of j(f) wrt f?\nAnswer: 6*f**2 - 2062*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.6438kg to milligrams.\nAnswer: 4643800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 515, 441, 257, -91, -657, -1495, -2659?\n\"Answer: -9*p**3 - p**2 - 8*p + 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 13*t + 2*t**4 + 0*t**3 - 6 - 2*t**2 + 1 - 11*t to i*t**3 + k*t**2 + w + b*t + g*t**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + 2.62?\nAnswer: 97.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -763877237 by 6.\nAnswer: -763877237\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220*a*m**3*n**3 - 474*a*m**3*n**2 - a*m**3 - 34*a*n**3 + 1809*a*n**2 - 5*m**3*n**3 + n**2 wrt n.\nAnswer: -1320*a*m**3 - 204*a - 30*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326\/(-140) - (-30)\/280*(-18)\/27.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*j**2 + 81*j**2 - 2 + 2.\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86527 + 3?\nAnswer: 86530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/468*243\/54?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eswkswwkewwikdwsissw. What is prob of sequence wi?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 8*z**7\/7 - z**3 + 4. Find the third derivative of n(s) wrt s.\nAnswer: 960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*(r\/(r\/(r*r**11\/r))*r)\/r)*r**(10\/7)\/r assuming r is positive.\nAnswer: r**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*t - 312*t - 275*t + 1679*t - 325*t - 338*t.\nAnswer: 102*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 h when four letters picked without replacement from {h: 9, l: 5}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 8:46 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(7\/2))**(2\/51))**9)**(-1\/10) assuming u is positive.\nAnswer: u**(3\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 6*p**2 - p + 7. Let g be l(6). Let y be (-1 - 0)\/(g\/(-2)). Let k(a) = a**2 - 22*a - 22. Let f be k(23). Is y >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 + z - 2. Let i(h) = 64*h**2 - h + 13. Calculate i(b) + o(b).\nAnswer: 67*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2. Let a(p) = 6*p**2 + 0 - 1 + 1. Calculate q(a(r)).\nAnswer: 108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385682 divided by -14.\nAnswer: 192841\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*i + 157 + 4, 3*u = -2*i + 77. Let n = i - 35. Suppose -n*m - 5*h = -0*h - 535, -3*m - 5*h + 323 = 0. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w + 0*w + 2*w + (1 - 2 + 0)*(6*w - 5*w + 11*w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 5:01 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4 + 2*a**4 + 2*a**3 - a**4 - 2*a + 0*a**4 + 2*a**2 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/17*27\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110424434 (base 5) to base 4\nAnswer: 1311330233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 8*h = -11*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9797041?\nAnswer: 29, 293, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6598697us to milliseconds.\nAnswer: 0.0006598697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7 = 165. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auz when three letters picked without replacement from jzupjaua.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-132)*-8)\/((-3)\/36).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.24 and -611104405.\nAnswer: -611104404.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -9, -3, 23, 75, 159, 281, 447?\n\"Answer: a**3 + a**2 - 18*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -n. What is the second derivative of 7*h**4 + h - 4*h + n*h**4 wrt h?\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - -2*(-3)\/6. Suppose -21*v + 22*v = -16. Let a = p - v. Sort 0, a, -4.\nAnswer: -4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 3*k**2 + k**2)*(-4*k**2 - 9*k + 9*k) + (0*k**4 + 3*k**4 + 0*k**4)*(9 - 11 - 19).\nAnswer: -67*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 22 = -8. Suppose 2*y = n*y + 3*h - 27, 3*y + 2*h - 22 = 0. Let s = 499\/150 + 1\/150. Do y and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 2:30 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 34077034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*(18 - 2). Suppose u - d = -5. Calculate the smallest common multiple of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7736 (base 16) in base 8?\nAnswer: -73466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknhnas. What is prob of picking 1 a and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6649, 26580, 59725, 106024, 165417, 237844, 323245?\nAnswer: 421560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 18298*w + 1175195. Give m(64).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111100 - -10011?\nAnswer: 11001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19 - 2)*3\/(-9). Suppose 2*u - 96 - 4 = 0. Suppose -u*t + 46*t + 4 = 0. What is the greatest common factor of d and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561*g**3 - 611*g**3 - 283*g**3 - 495*g**3 - 396*g**3.\nAnswer: -1224*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1 - 1, 4*k + 3*g - 1699 = 0. Suppose 89 = 3*l - k. Let r be (-1)\/(6*3\/l)*2. Which is the second biggest value? (a) -2 (b) r (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**3\/3 + 670*l**2\/3 + 812567*l\/3 + 53177348 = 0.\nAnswer: -343, 1356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 4164 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1072, -1070, -1066, -1060, -1052?\n\"Answer: x**2 - x - 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 49 = 5*c - 75, -8 = 4*c - 8*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-41557320)\/(-76180797) - 12\/22. Is 1 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:50 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 39 + 1702080*p**2.\nAnswer: 1702080*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -283*h - 419*h**4 + 7*h**2 - 197*h**4 - 102*h - 5*h**2 wrt h?\nAnswer: -14784*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -268*b**4 - 313*b**3 + 3*b**2 + b + 412561 wrt b?\nAnswer: -6432*b - 1878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5066874 divided by 1688958\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**4 - 4*v**4 - 5 + 3*v**4 + 2 with respect to v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109 and 277187?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 120884 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5233 times -12?\nAnswer: -62796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from baabbbaaaa.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 40. Suppose -2 = 2*f - x. Suppose -2*g + 3*g = -1, -f*g = 5*u - 61. Calculate the highest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -73.92. Let z = l - -0.32. Let p = 0 - 2. Which is the biggest value? (a) 1 (b) p (c) z (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - l. Let s(g) = -2*g**3 - 4*g**2 - 3*g - 2. Suppose 3 = -p + 2. Give p*s(o) + 3*j(o).\nAnswer: 2*o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -770336 (base 9) to base 6.\nAnswer: -13503310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + g**2 - 2*g - 1. Let d be l(-2). Let o(v) = 3*v + 35. Let i be o(-11). Sort i, -4, d.\nAnswer: -4, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/25)*l**(-2\/45)*(l*l*l*l\/(l\/(l*l**(-9\/4))))\/l**3 assuming l is positive.\nAnswer: l**(-1237\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + 0*u**2 + 2 - 1 - 4*u + 4*u + 3*u**2 + (0 - 1 - 1)*(0 + 0 + 2*u**2) - u**2 + 2*u**2 - 3*u**2.\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -89*y + 11. Let z(r) = 222*r - 27. Calculate -12*m(x) - 5*z(x).\nAnswer: -42*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w + 512933 = -1513947. Round w to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.7 (b) -0.4 (c) -2\/7 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27063 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 19791 + 19791.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -537.74 - -89.\nAnswer: -448.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44334 and 337167.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 - -137.1. Let z = v - 0.1. Which is smaller: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15541\/3 + -77699\/15. What is the closest to 0 in 2\/13, z, -15, -4\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaw when three letters picked without replacement from wkabkawkkkkwkkkkkaka.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l - 2*l + 0*l + (-2 - 1 + 1)*(5*l - 11*l + 28*l) - l + 4 - l - 2 in the form z*l + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 - c**4)*(0 + 4 + 6) + c**4 + 0*c**4 - 2*c**4.\nAnswer: -11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -9, -4*f + 26 = 4*z - 2. Let t be 33\/12 + 1\/z. Let k be t\/(54\/4)*3. Which is the third biggest value? (a) k (b) -1\/6 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1424434 and -67\/14?\nAnswer: 9971038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -4, 3, 50 in decreasing order.\nAnswer: 50, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 2876.443 and 73634.\nAnswer: 76510.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9049\/4942 - -16\/353. Suppose 9*p = 4*p + 7485. Let v = -3053\/2 + p. Find the common denominator of m and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14824 = -1414*r - 443*r - 85390 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 0*c + 2*c + 2*c**2 - c. Let f be z(1). Let d = -1 - -2. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10679*q**2 - 32*q + 118. Is y(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in 0.084, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220220120001 (base 3) to base 16.\nAnswer: 77b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 5*a**2 - 3*a - 1. Suppose 1 - 11 = 5*r. Let k be (4 - 3)*-2*r. Let i be w(k). Solve -i = 2*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 882 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2 - 106426288*h - 2831638694364736 = 0.\nAnswer: -53213144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 158.1\nAnswer: -31.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3 + 3)*(-7*g**2 + 0*g**2 + g**2) - 46*g**3 + 1 + 48*g**3 + 3*g - 2*g.\nAnswer: 20*g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -828 - 199*k + 708*k - 220.\nAnswer: 509*k - 1048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 339801\/(-2036430) + 2\/12. Let g = 977087\/61710 + w. Which is smaller: 17 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 123*f**3 + 237*f**2 - 117*f.\nAnswer: 3*f*(f - 39)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -3. Calculate the highest common factor of 42 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, m: 6}. What is prob of sequence mmhm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/77 (c) 272 (d) 0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 29*b**2 - 11*b - 45. Let k be s(7). Suppose -366 = -o - 5*z, -3*z + 443 + k = 5*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336459307.\nAnswer: 619, 543553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from didd. Give prob of sequence di.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 195671*v + 3913383. Determine i(-20).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/29, 165, 0.6, 13, 4, 5 in increasing order.\nAnswer: -0.5, 1\/29, 0.6, 4, 5, 13, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 879 and ((-96)\/320 + -82*1\/10)*-24?\nAnswer: 59772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqqb when four letters picked without replacement from {h: 5, r: 1, b: 1, q: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3280256 and 1568.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -30. Suppose 5*p - 7*p = -c. What is the lowest common multiple of p and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 0.44.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/30 - 41*h**4\/12 + 19*h**3 + 277*h**2 + h. What is the first derivative of z(d) wrt d?\nAnswer: 4*d - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -193.38385 and 3.0911.\nAnswer: -190.29275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 9*n - 7*n - 2)*(-18 + 6*n + 18 + (-1 + 1 + n)*(1 + 3 - 6)).\nAnswer: -24*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25336479?\nAnswer: 3, 7, 172357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011100 + -1101111110101001?\nAnswer: -1101111010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1317, 1321, 1327, 1335?\nAnswer: 1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4 + 258035*k**3 - 2*k**2 + 558392*k - 2.\nAnswer: 48*k + 1548210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 83*c**3 + 169*c**2 + 85*c.\nAnswer: -c*(c - 85)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g**2 + 5*g - 5. Let x(t) = 1015*t**2 - 2*t - 1020*t**2 + 3 - t. Calculate 3*l(z) + 5*x(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44838328 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 3*r**4 + 0*r**2)*(-4*r + 58*r - 127*r) - 6*r**5 - 35*r**4 + 35*r**4.\nAnswer: 213*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*u**2 - 4*u**2 + 29*u**2)*(-u**3 + 5*u**2 + 3*u**3 + 0*u**3).\nAnswer: 150*u**5 + 375*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20106272, 20106273, 20106274?\nAnswer: 20106275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*w - c, 2*w + 1 = 4*c - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 3*t)*((1 - 6 - 1)*(-1 - 2 + 2) + (-4 + 1 + 1)*(1 - 1 + 2) + (0 + 0 + 1)*(-1 + 3 - 3) - 2 + 12 - 3).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Suppose 22 = -6*b + 8*b. Suppose -n + b = y. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -7*a - 5. Let j be (-1)\/(1\/(-5) + 0). Suppose 3*b + b = 4*l - 100, 0 = -4*l + j*b + 104. Solve 5*o - 4*k - l = 0, 3*o = -a*k + 9 + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 179434*o - 1615068.\nAnswer: 2*(o - 9)*(o + 89726)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 2004.533 - 2003. Let o = -0.692 + t. Let i = o - -0.149. What is i rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 5)*(-j - 3*j + j + (1 - 4 + 2)*(-j - j + j)) to the form a*j + k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 6 = 8*d. What is the highest common divisor of d and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.885 + -0.115. Sort 4, s, -13.\nAnswer: -13, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 75987687 and -2.3?\nAnswer: 75987689.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 6*l - 20*l - 17*l as o + a*l and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 3}. Give prob of sequence zmmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130268134 is divided by 764.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10967109 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: Multiply 14 and 53505460.\nAnswer: 749076440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000238832 rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/16630 and 67\/5763958?\nAnswer: 28819790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/204 + (-483)\/(-36)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:22 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133202664 by 1800036.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 1, t: 1, b: 1, q: 1}. Give prob of sequence stk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -5, 17, 0.2, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38147 and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o + 57. Suppose 0 = 2*w + 9 - o. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000720419 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/15)\/(p**(-2\/11)\/p))**(-2) assuming p is positive.\nAnswer: p**(-346\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 9. Let z be (-1)\/(-3) + 190\/(-30). Let q(v) = v + 2. What is z*l(i) - 26*q(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 101053 and -4161922?\nAnswer: 4262975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 16345828*k\/3 - 66796523251396\/3.\nAnswer: -(k + 8172914)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -5. Suppose -4*c + 29 = 21. Factor o**c + 6*o + 5 + k*o**2 - 3*o**2 - 3 + 2*o**3.\nAnswer: 2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.03, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -14*b - 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8108823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/28)\/((-2)\/4))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45570 or -2096213\/46?\nAnswer: -2096213\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -2*x**7\/105 + x**6\/30 + x**5\/15 - x**4\/6 + 4*x**2 - 3*x. Let g(n) be the first derivative of k(n). Solve g(w) = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 32. What is the third derivative of 28*a**6 + 33*a**6 - 32*a**6 - v*a**2 wrt a?\nAnswer: 3480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 1, p: 3, f: 3}. What is prob of picking 2 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21076727 to the nearest integer?\nAnswer: 4591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739 a factor of 91827714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 4*a - 1. Let x be o(3). Let l be -1 - (x - 54\/21). Is 0 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3980.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 9 + 7. Let s = h + 8. Let b be 1\/s - (-52)\/(-16). Put b, -1, -5 in descending order.\nAnswer: -1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4\/20 + 23*p**3\/10 - 33*p**2\/5 + 407*p. Factor y(z).\nAnswer: -3*(z - 22)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, j: 5}. What is prob of sequence jaa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 2 + -5 + 3. Suppose 0 = z*l - 560832 - 639168. What is l rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - f - 10 = -13, -5*f + 10 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/13 (b) 0 (c) -5 (d) -14 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 + 474 = -24*p + 339 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**3\/2 + a**2\/2 + a + 6991. Let m(f) = -f + 1. Let k be ((-6)\/3)\/(3 + -2). Give k*b(q) + 2*m(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -14*s**2 + 2*s + 1. Let n be f(-1). Let i be (1\/(-3))\/(1\/n). Let w(q) = q + 0*q - 2*q + 2 + 0. Give w(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-384)\/(-3264)*102\/(-3)*4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 18. Suppose -32*l + 140 = -12*l. Determine u(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12912712 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380 a factor of 1913520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136.95 + -136.9551152. Round d to 5 decimal places.\nAnswer: -0.00512","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34091, 68187, 102291, 136403, 170523, 204651, 238787?\n\"Answer: 4*t**2 + 34084*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10 = 0, -21*p + 2 = k - 20*p. Suppose k = 3*i + 5*g - 9 - 9, -i - 2*g = -7. Which is the closest to i? (a) 0 (b) 5 (c) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 less than -216\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3417, -3415, -3413, -3411, -3409?\nAnswer: -3407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 96*q + 1.\nAnswer: -96*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 0. Suppose 4*i - 39 = -g. Let m(y) = y**3 - 8*y**2 + 2*y + 1. What are the prime factors of m(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 7 + 4 + -5 + 20 + -9 + 103.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**6\/75 + 4*p**5\/25 + p**4\/5 - 8*p**3\/15 - 7*p**2\/5 - 38*p. Determine v so that l(v) = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 30, -0.4, 14, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4968530616 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 = 14*k - 415 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 2997421.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + (9 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2589074 and 137\/6.\nAnswer: 7767222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18646*h - 18645*h = -f - 11, -5*f - 49 = -h for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/18)\/((-8)\/48). Let i = -0.17 + 0.07. Let f = -0.5 + 0.6. What is the nearest to i in 2\/9, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - l + 4 = -2, -5*l - 10 = 2*p. Let v(d) = -d**2 + 7*d + 2. Let k be v(7). Let f be 3 - (-5)\/(5\/k). Solve -f*g = -25, -7 = -5*i - p*g + 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r*r\/r**(-3\/5)*r)\/r)**17 assuming r is positive.\nAnswer: r**(391\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2388913*a = 2389621*a - 44604 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 g when four letters picked without replacement from fzuzggz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 13*j**2 - 13*j - 3. Calculate c(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5300503*s + 5300500*s = 4*y + 14, 3*s - 16 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-9)\/2 + (3 - 1)). Let d = 11 + -6. Sort r, -2, d in decreasing order.\nAnswer: d, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2959, 5931, 8901, 11869, 14835?\nAnswer: 17799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -15*k**4\/4 - 13*k**2\/2 - 5. Find the second derivative of z(r) wrt r.\nAnswer: -90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 smaller than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.5 + 3.3. Which is the second smallest value? (a) -0.03 (b) -2\/17 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b + 65. Let p be s(-8). Does 26 divide 1*(-1 + 270*p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-55))\/(31\/775)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 85.73062 decades?\nAnswer: 8.573062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45788.\nAnswer: 2, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 2*i**2 + i + 8. Let u be q(0). Factor 136*l**2 + u*l - 2*l**3 - 4*l**3 - 152*l**2 + 18*l**4.\nAnswer: 2*l*(l + 1)*(3*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220929363?\nAnswer: 3, 709, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15033 (base 6) to base 9\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 5. Let l = -11 + z. Let n(y) be the first derivative of -y**2\/2 - 7*y + 7662. What is n(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*n + 35, 8*s - 47 = 3*s - n. Let p be (-21)\/35*s\/4. Put 0.2, p, -0.026 in ascending order.\nAnswer: p, -0.026, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*2\/2*(3 - 6). Suppose -9*w = -f*l - 4*w + 7800, -7803 = -3*l + 4*w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.410872352?\nAnswer: -0.410872352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b - 14*b = 4*t - 29, 5*b - 10*t + 161 = 7*t + 5*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 54446, 0, 2\/97?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -8 + (-16 - -21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -43, -1, 0.4, 305\/3, -0.5 in decreasing order.\nAnswer: 305\/3, 3\/5, 0.4, -0.5, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 6*f**2 - 3*f + 5. Determine w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -303*g + 193. Determine q(1).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 554621147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46965 + 72704. What is the remainder when g is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(147) + sqrt(2548)*-4)\/(sqrt(12)\/sqrt(48) + -2*sqrt(36)).\nAnswer: 780*sqrt(13)\/161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 23. Let u be f(-8). Calculate the highest common divisor of 312 and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6427?\nAnswer: 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 263*r + 14418 = -30*r - 21*r for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 21. Let s = 19 - m. What are the prime factors of s\/10*(-100)\/8?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*k - 42*k + 84*k + 4*r = 0, 5*k + 5*r = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/5))**17*q**(-1)\/(q**10*q))**(1\/30) assuming q is positive.\nAnswer: q**(-3\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) - 3\/12. Suppose -16 = 4*b + 4*g, 3*g = b - 8 - t. Let o(q) = 16*q**2 + 2*q + 1. List the prime factors of o(b).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 0.4. Let l = 1 - a. Let k = l + 0.3. Is k smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5 (c) 2\/7 (d) 136 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2832 and 113\/14160?\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-4)*110\/(-44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0 + x**2 + 2 - 14*x + 10*x. Let r be g(2). Let s be 0 - 5 - r\/1. Which is the third biggest value? (a) s (b) 3\/2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392634973403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.3 - -0.9. Let n = z + -13. Let q = n - 2.4. What is the smallest value in q, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-7\/2))\/q*q)\/(((q\/(q**(-2)*q)*q)\/q)\/q*q)*((q**(2\/7)\/q)\/q)**(-1\/5))\/(q**(5\/4)\/q**6)**(-2\/185) assuming q is positive.\nAnswer: q**(-1090\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675 by 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/7))\/(v\/(v\/v**(-1\/4)))*v**(-1\/4)\/(v*v**(-4\/5)))\/((v**(-1\/3)*v*v\/(v*v\/v**(-2\/5)))\/(v**(2\/15)\/v**(-4))) assuming v is positive.\nAnswer: v**(113\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19.671253 + 19.7724. Let m = 182.101 + -182. Let q = n - m. What is q rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3766 - 3767. What is the second biggest value in -2, -50, b, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.374.\nAnswer: -1.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -302248, 4, -5.\nAnswer: -302248, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/3 + 17*s**4\/3 + 89*s**3\/3 + 163*s**2\/3 + 30*s = 0.\nAnswer: -9, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 4, k: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y - 18. Let j(v) = v + 1. Let p(x) = 18*j(x) + s(x). Let h(w) = 13*w. Calculate h(p(q)).\nAnswer: 117*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 0*j + j + 2*j + j - 4*j + (5*j - 2*j - j)*(-2 - 1 + 2) - j - 3*j + 3*j + 21*j + 54*j - 157*j - 91*j.\nAnswer: -175*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w**2 - 2*w + 1. Let v be z(1). Let f(g) = 2*g**2 + g + 16. Let a be f(0). Let u = v + a. Which is bigger: u or 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.099 - -0.1069. Which is greater: a or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -12*x + 9*x - 36, -3*m = x - 36. Let j = 2 + 0. Solve w - 3*b + j = x, w + 3*b = -4*w - 28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {w: 2, d: 7, r: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f - 1. Let q(c) = 1. Let i(r) = -r + 6. Let p(a) = -i(a) + 6*q(a). Calculate -j(h) - 3*p(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-30))\/(((-96)\/54)\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 193 (b) 94 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 115668?\nAnswer: 1272348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/9 (b) 8\/3 (c) -0.2 (d) 0.238 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.193 - 80.193. Let f = 74 - 73.9. Which is smaller: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 513684.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 10*j**2 - 12*j + 72.\nAnswer: -(j - 2)*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -597.674491 to 1 decimal place.\nAnswer: -597.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 + 0*k**4 + 3*k**4)*(-60 + 5 + 3).\nAnswer: -52*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85677412752*a - 10*a**2 - 85677412752*a.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-49)*7\/2. Let p(q) = 4 + v - 5 - 2. Let o(x) = 2*x - 1. Suppose 1 = -2*h - 1. Calculate h*o(l) + 2*p(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*b - 108*b + r = -6, 0 = -b - 5*r - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00445745 rounded to 6 decimal places?\nAnswer: -0.004457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144.0482 rounded to the nearest 10?\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -61*x + 8. Let z be w(8). Round z to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y + 4. Let j be f(-2). Let d(v) = v**2 + 4*v + 3. Let a be d(j). Solve -2*h + h + 4*c + 5 = 0, h - a*c = 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95499 + -48310. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1684.2486 minutes to hours.\nAnswer: 28.07081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12651451, -12651420, -12651353, -12651232, -12651039?\nAnswer: -12650756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.894 + 1.694. Let o be 0\/(6 - 3 - 6). What is the nearest to -0.2 in o, r, -4, 12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 + (-6 - -5) + 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594*a - 594*a - 6*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78075 and 540.\nAnswer: 936900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870513 is divided by 10122.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1566 and 20.5?\nAnswer: -32103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(15\/12 + -2). Suppose -p*x + x + 6 = 0. Differentiate -3*z**3 + x - 5 + 0 - z**3 with respect to z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 135*x**2 + 59*x - 614. Calculate v(-68).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*t - 88 = 28, 3*v - 75 = 3*t. Let n be (v + -2)\/((-1)\/(-1)). What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17448912 to the power of 1\/2, to the nearest integer?\nAnswer: 4177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -22. Put t, -1, 3 in descending order.\nAnswer: 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 61 = 2*p + 4*q, 5*p = -2*q + 157. Let a be (-3342)\/(-27) + (-2)\/(-9). Calculate the greatest common divisor of a and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**0)**(1\/5) assuming m is positive.\nAnswer: m**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-11))\/n)\/(n*n**(1\/2)\/n)*(n\/n**(13\/4))**(-28) assuming n is positive.\nAnswer: n**(103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -2, 0.1 in descending order.\nAnswer: 10, 0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**3\/2 - d. Let g(c) = c + c + 0*c. Give g(j(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7735 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + -11 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*a = -20, -2 = -t + 4*a + 7. What is the least common multiple of 48 and t?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -125, -120, -111, -98, -81, -60, -35?\n\"Answer: 2*h**2 - h - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7704)\/60 - 2\/(-5)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -247 and 164.\nAnswer: -40508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((60\/(-540))\/(4\/120))\/(4\/3).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 12*u**2 + 28*u + 4. Let f be o(-14). Solve -5*j = -2*q + 5, f*q + 5 = 25 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -14.9. Let i be 0 + 2 + (-14)\/6. Let h be 32\/132*(-30)\/40. What is the closest to i in 1, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 19*h**2 + 3*h + 5. Let m(j) = -2*j**3 - 21*j**2 + 3*j + 3. Determine 3*m(i) - 4*r(i).\nAnswer: 2*i**3 + 13*i**2 - 3*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -87? (a) -10 (b) 14\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/28 - 5*u**3\/14 + 9*u**2\/7 + 130*u. Factor c(m).\nAnswer: 3*(m - 3)*(m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = 2*o - 5*o. Suppose 5*v + 1 - o = 0. Suppose s + 2*y = -y - 1, 0 = 3*y + 6. Solve 0 = -5*r + s*f - v, 4*r + f = -0*f - 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let t(r) = -611*r**2 - r. What is c(t(f))?\nAnswer: 373321*f**4 + 1222*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 32*h + 5235 = 0. Let n = 2942 + h. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**3 - 49*f - 118. What is the tens digit of o(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/8232 and -15\/196.\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34948, 140487, 316386, 562645, 879264, 1266243, 1723582?\n\"Answer: 35180*h**2 - h - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*y**2 - 94*y**2 + 63*y**2 - 23*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -4 (c) -2\/9 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, 6, 19438, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29331 - -62783.47?\nAnswer: 62783.17669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/204102 and -91\/1530.\nAnswer: 1020510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (228\/171)\/((-3)\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -4 - -1 - -13. Let x = t + -11. Let z be (-3)\/(x + (-177)\/6). Is 0 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -0.2 (c) -3054.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 83930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 18*j + 19. Let u(z) = z**3 + 31*z**2 - z - 48. Let n be u(-31). Let d be t(n). Solve -3*i = v - 11, -2*v + d = -4*i + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.2, 250\/9 in decreasing order.\nAnswer: 250\/9, 6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17713?\nAnswer: 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 45 = -61. Suppose 5*b = -4*u + 1014 + 1799, -f*u = 3*b - 2803. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 932694 by -24.\nAnswer: -155449\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**3\/6 - 19*p**2 + 1000*p. Let u(d) = 8*d. Give w(u(c)).\nAnswer: -8*c - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvbvbvvbvvvbbvv. What is prob of sequence vb?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5703, 21166, 46937, 83016, 129403?\n\"Answer: 5154*h**2 + h + 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - 50\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-374569 + 6204*d**4 + 972*d**4 + 374569)*(-3*d - d + 2*d).\nAnswer: -14352*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 797079331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 377 + -404. Is (2\/4)\/(l\/(-738126)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 1 - (-12 - -15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 41953, 41808, 41663, 41518, 41373, 41228?\n\"Answer: -145*s + 42098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 72 = -5*f, -2*k = -3*k - 2*f + 34. Suppose 0 = 2*n - 2*z + 32, -3*n - 2*z - 22 = 26. Let o = k + n. 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 -45*p + 2582 - 5169 - 34*p + 2587 + 142*p.\nAnswer: 63*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - 3*f**2 + 79*f - 75. Calculate i(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 478, -1\/3, -402?\nAnswer: 478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - x - 2128. Let n = x - 299. Suppose 6 = 4*u - 2. Solve -y - n = 0, i = -u*i + 4*y + 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 15 = 26*c - 31*c, -2*c + 6 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*p**2 - 19*p - 37 wrt p.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 26 = 38. Suppose 10011 = 3*j - g*i - 7166, -4*j + 4*i = -22908. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 15. Let d(u) = 2*u**2 + 7*u + 9. Let a be d(-3). Let r(t) = t + 8. Calculate a*v(m) + 11*r(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30757, 30760, 30763, 30766, 30769?\n\"Answer: 3*t + 30754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1281 and 0.34.\nAnswer: 1281.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Suppose -2 = -t - 3*x, 0*x = -5*t + x + 10. Suppose -t*n + g*n = 0. Solve 1 = i - n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d - 3. Let v be 12\/(6\/(d + 6)). Solve 2*c - 2*n = 0, -v*n + 2*n - 9 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 2*z**2 + 2*z - 34. Let y(o) = -8*o - 3. Determine 7*d(f) + 4*y(f).\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3808549?\nAnswer: 3808549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 1322 + 647 + 675. Let k(l) = -1306*l. Determine k(b(g)).\nAnswer: 2612*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 751*j - 31. Let k be v(-2). Let t = -529 - k. What is t rounded to the nearest 10?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -12*g - 132. Calculate the greatest common factor of g and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 127.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/7 - 1845\/574)*(-220)\/(-35). Let f(d) = d**3 + 21*d**2 - 21*d - 8. Calculate f(w).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291156, 290321, 289486, 288651, 287816?\nAnswer: 286981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (-4)\/(104\/102 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 5. Suppose n - 20 = -n. Let i be d(n). Let q(u) be the third derivative of -u**4\/24 - u**3\/3 + u**2. Give q(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.5 (b) -0.135 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01744 - 0.0121. Round z to 4 dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2. Let k(n) = 423*n. What is k(r(g))?\nAnswer: -423*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**5\/15 - c**4\/2 + 4*c**3\/3 - 19*c**2\/2 - 15*c. Let w(d) be the first derivative of k(d). Factor w(l).\nAnswer: 4*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.2 and -782.\nAnswer: -783.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 167*b**7\/42 - 2*b**3 - b**2\/2 - 26*b + 1. Find the second derivative of u(t) wrt t.\nAnswer: 3340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 4574*a - 176866. Give q(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -76\/183?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 1955\/(-490))*-24. Let p = c - 10\/441. Sort 2\/5, p, -0.1, 1 in decreasing order.\nAnswer: 1, 2\/5, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02891 to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6041.977 milligrams to tonnes.\nAnswer: 0.000006041977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 12. Let n(u) be the first derivative of -3*u**2 + 35*u - 1. Let k(v) = -6*n(v) - 17*o(v). Let w(l) = 3*l - 11. Determine 7*k(s) - 4*w(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 132*z. Let x(s) = -688*s + 1. Calculate x(d(a)).\nAnswer: -90816*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-28))\/(22*(-153)\/(-57596)).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 177*y + 39. Let g(p) = 177*p + 46. Determine 6*b(h) - 5*g(h).\nAnswer: 177*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -43. Let f be (-21)\/4*(-40)\/i. What is the second derivative of 32 + 8*b - 18 - f - 13*b**5 wrt b?\nAnswer: -260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/5)*y\/y**7)**(-40)\/((y**1)**19*y**(-4)*y**(1\/6)*y) assuming y is positive.\nAnswer: y**(1055\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.606 - -5.054. Let w = -5.65999383 + v. What is w rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 164*j - 406. Let m(p) = 3336*p. What is u(m(d))?\nAnswer: 547104*d - 406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ididdidd. Give prob of sequence idd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7373 * -1.833.\nAnswer: 13514.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 293227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**2*j**4 + 16*b**2*j**3 - 3*b**2*j**2 - b**2*j + 5*b*j**2 wrt j.\nAnswer: -48*b**2*j + 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-8) - 609\/(-168). Let f be (-2)\/5 - (-2)\/5. Let y = -1\/5 - -8\/15. Which is the closest to f? (a) 1\/6 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**3\/2 - 99*s**2 + 3024*s - 19440 = 0.\nAnswer: -90, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 991708 - 1122722 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 360800*x + 8136040000.\nAnswer: 4*(x - 45100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354494115 divided by 2755.\nAnswer: -128673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20597088 and 7535520.\nAnswer: 308956320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 297*a**5\/10 - 361*a**4\/4 + a - 421. What is the third derivative of z(i) wrt i?\nAnswer: 3564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7386, -7399, -7408, -7407, -7390, -7351, -7284, -7183?\nAnswer: -7042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278054 by 2.\nAnswer: 139027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:08 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*119\/(-68)*((-24)\/(-399))\/4.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -13*l + 174. Let a be w(10). Solve a - 36 = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + x - 1. Let d be s(2). Let z = d - -8. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 11*q = -r - 5, -2*q + 4*r = 0. Solve 0 = -j + f, 6*j = 2*j + q*f - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(-26))**(1\/5) assuming x is positive.\nAnswer: x**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1621 = 10*w - 7*w, -2697 = -5*w + 4*p. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -79*y - 1347. What is v(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2. Let r(z) = 6308*z**2. Determine r(q(a)).\nAnswer: 25232*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) 0.2 (c) -0.2 (d) 3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 302022 (base 4) to base 7\nAnswer: 12234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 6.6411.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37452.\nAnswer: 2, 3, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 15) to base 14.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.026, 0.39, 48, 4?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18880 and 64.\nAnswer: 18880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126 - 130. Let b(k) = -k - k - 34*k**2 - 31*k**2 - 4 + 66*k**2. Let p be b(4). Sort -5, f, p.\nAnswer: -5, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + l - 2*l**3 - 3*l - 370*l + 14*l**3 + 370*l + (2*l - 2*l + 2*l**2)*(2 - 2 + l) to the form y + k*l + g*l**2 + b*l**3 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + -2 + sqrt(175)*-4 + (-3*sqrt(63))\/sqrt(9) + sqrt(7) + 0 + sqrt(7) + sqrt(7)*-1 + -1 + -5)**2.\nAnswer: 336*sqrt(7) + 3151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:24 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 15. Let f be o(-19). Suppose -4*u + 2*u + f = 0. Let d(j) = -7*j - 1. Give d(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -141*b**4 - 66*b**3 - 228*b**2 + 930*b + 1089. Let a(y) = 23*y**4 + y**3 + y**2 - y. Let j(q) = -6*a(q) - o(q). Solve j(u) = 0 for u.\nAnswer: -11, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41820, 83628, 125432, 167232?\nAnswer: 209028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(80) - (sqrt(5) + -1 + 0 - sqrt(5)).\nAnswer: 2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, i: 3, q: 1, h: 1, g: 5}. What is prob of picking 1 h and 1 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m + 3*m - 2*m**2 + 2*m. Let u(p) be the third derivative of p**4\/2 - 2*p**2. Calculate u(s(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -438. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 9 - 3. Let t(p) = p**3 + 5*p**2 - 6*p + 6. Is t(g) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 9 - 134 = 0. Let m(p) = p**3 - 12*p**2 + 5*p - 27. What are the prime factors of m(b)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (5 - (-5 - -29 - 9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 2*y - 4. Let a be o(-3). Suppose -9 = x + m, m = -x + 3*m - 24. Let j = x - a. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -2)\/((-2)\/4). Suppose -19*y = -11*y - 7*y. Suppose 4*o - 4 = -3*p, 5*o + y*p = -5*p. Solve -m = 4*f + 5*q, q - o - 10 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9956221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 13175721?\nAnswer: 13175721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a + a + 103*a + 73*a + 30*a + 92*a.\nAnswer: 326*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(35))\/sqrt(7)*2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + q + 5 = -1, -2*q = s + 2. Let h = s + 10. Let u = -143 + 147. Solve 5*g + 6*v = v - 10, u*v - h = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*t - 16*t - 21*t + (164 - 45*t - 164)*(5 - 2 - 4) - 2*t + 2*t + 2*t)*(-t**3 - t**3 + t**3) as a*t**4 + k*t**3 + s*t**2 + l*t + h and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2218184, -4436402, -6654620?\nAnswer: -8872838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1300 and 46?\nAnswer: 29900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-119))\/(6732\/31416)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c. Let p be i(3). Let s = p + -4. Solve -2*v + s = 2*x - x, 0 = -5*x - 3*v - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20701248 divided by 8\nAnswer: -2587656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -20*n**2 + 4*n - 3 - 6*n**2 - 4*n**3 - 13*n**2 + 38*n**2. Determine i(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549.815546 - 353?\nAnswer: 196.815546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -16916*d**5\/3 + 19741000*d**4\/3 + 19742128*d**3\/3 - 19773704*d**2\/3 - 19725212*d\/3 + 32704\/3 = 0.\nAnswer: -1, 7\/4229, 1, 1168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4368 (b) -4 (c) 1239 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1133433?\nAnswer: 1133440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1368085.863 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11*j. Let q = 4 + 19. Let c = q - 26. What is the units digit of x(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(1416\/(-413)))\/((-14)\/(-536))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -47. Let x be v\/(-4) - (-24)\/(-8). Suppose 3*r - 4 = -1. Which is the smallest value? (a) r (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -7 + (22 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32326 - 32329 + 64655 + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(84)*6 - sqrt(84))\/((1*sqrt(48))\/sqrt(4)))**2 - (1 + 3 + ((sqrt(49) + sqrt(49)*-1)\/sqrt(7) - (sqrt(175) - (1 + sqrt(175) + sqrt(175)))))**2.\nAnswer: -50*sqrt(7) + 647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, o: 3, l: 2, r: 2}. Give prob of sequence korr.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = v - 2681 - 2128, -2*h = 3*v - 14432. Does 83 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 24. Suppose -2*f = 5*d - u, 3*d = -2*f + 7*f + 8. Suppose -1 = -m - 3. Which is the second biggest value? (a) -1\/4 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(11) + -3 + -1.\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/10)\/((-2)\/(-450)). Let p = 1065 + -993. Calculate the highest common divisor of w and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*r = -2885, 3*h = 5*r - 0*r + 1691. List the prime factors of h.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 9*x**2 - 12*x - 22. Let y be s(11). Let h be y\/280 - (24\/14 - 2). Are h and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 121. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 22*z**2 - 6*z - 568*z**3 + 571*z**3 + 0*z + 20*z**2 - 2*z**4 in the form j*z + v*z**3 + w*z**4 + n + u*z**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by ((18\/(-4))\/3)\/(9\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**3\/6 + t**2\/2 - 2*t - 241. Suppose -7*a + 2*a = -60. Let w(f) = f**2 - 12*f - 3. Let u be w(a). What is i(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-606)\/(-505) + 23\/460.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -5575840?\nAnswer: 1\/2787920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - -35. Let f be l - (0 + -5 + 1). Suppose 5*g + 7*i = 2*i + 145, -2*g - 4*i + f = 0. Calculate the highest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246734.5580018 - 246778.558. Let q = -43.82474 - 0.17526. Let z = q - w. What is z rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 23. Let g(p) = -830*p**3 - 2*p**2 + 6*p + 9. Let h be g(n). Is -1*2\/(-13) + h\/39 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jshjsjxlhjhsljlje. Give prob of picking 2 h and 1 x.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006070612 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {x: 1, u: 2, a: 2, w: 3, z: 1, d: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*b**3*u**3 + 3*b**3*y - 2*b**3 - 37*b*u**3 + 80*u**3*y + 7*u + 13*y**2 wrt y.\nAnswer: 3*b**3 + 80*u**3 + 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 49999*b - 2. Let w be q(-2). What is w rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -487*y**5\/12 + 45*y**2 + y. Let b(v) = v. Determine r(b(k)).\nAnswer: -2435*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v. Let f(j) be the second derivative of j**3\/6 - j**2\/2 + j. Let p be (-14)\/(-6) - (-12)\/18. Suppose 4*b - p = -11. Give b*f(l) + z(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/11 + 258*w**3 - 323910*w**2\/11 + 9652274*w\/11.\nAnswer: -2*w*(w - 1297)*(w - 61)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2048\/36 + 1\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 77 (b) 0.06 (c) -1 (d) 1 (e) 124 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 2462628268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 + -136. Let d = -64 - -67.1. Which is the second biggest value? (a) t (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -380, -886, -1584, -2468?\nAnswer: -3532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 18*n**2 + 32*n - 60. What are the prime factors of s(-20)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 40*f**2 - 125*f + 50. What is d(43)?\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 - 4*g**2 + 2*g**2)*(-1 + 1 - 2*g)*(-6 + 4 + 3) to c + f*g**3 + q*g + l*g**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 14*c**2 + 0*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 46*z + 176. Let u be o(26). Is 20 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t\/t**(2\/3))\/t)**(2\/9)\/((t\/(t**(-1\/4)\/t))\/t)**25)**(-15\/8) assuming t is positive.\nAnswer: t**(16715\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1895\/4 and -47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31613649 is divided by 371?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -425*a**4 - 462?\nAnswer: -1700*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*l - 20 = 0, 14*l + 36 = -5*b + 10*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from {m: 3, h: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g*k*y**2 - g*k*y - 84*g*k + g*y - 4*k*y**2 + 43*k*y - 73*y**2 wrt y?\nAnswer: -12*g*k - 8*k - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*z + 2*t - 2, -5*t = 4*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 94.78347um?\nAnswer: 0.09478347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-50) - -208*153\/(-29920).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 3 + -5 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*u, 7 = -5*p - 2*u - 2*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198 + 200. Which is the second smallest value? (a) 1 (b) -16\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k)**(-3\/10)\/(k**2)**(-37) assuming k is positive.\nAnswer: k**74","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -4112.\nAnswer: 29\/2056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46 - 19 - 48*r**3 - 27*r**3 + 0 with respect to r.\nAnswer: -225*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*f - 21, g - 3*f + 13 = -0*f. Solve -3*i - 5 = -g*i - q, -3*q + 23 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 29*t - 134*t - 45 + 0 - 33 in the form q*t + o and give q.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386590 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68 - 894 + 2191)*(4*a - 3*a - 2*a) to the form p*a + u and give p.\nAnswer: -1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 5) in base 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368075131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((243\/(-324))\/((-2)\/(88\/6)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -406.865041 and -1.\nAnswer: -407.865041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19279906 and 155746.\nAnswer: 3622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 47\/4 of a day?\nAnswer: 282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + g = -25, 9*f - g - 81 + 31 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:18 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - 5*x**2 + 0*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76436*o**3*p**5 + 17*o**3*p**3 - 6*o**3*p - 80770*o**2*p wrt p?\nAnswer: 1528720*o**3*p**3 + 102*o**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -257, -2090, -7045, -16682, -32561, -56242?\n\"Answer: -260*b**3 - b**2 - 10*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*r - 2*t - 29, 15*t - 33*t = 6*r - 13*t + 97 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 3093.52108?\nAnswer: -3095.52108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3934 = -2106*d + 4625*d - 2238*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 9073?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 976489356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:57 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-16)*4)\/((-30)\/480).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*z = 16, 2*t - 4*z = -0*z - 12. Let f(a) = 13*a**3 - a**2 - 2*a - 2. Let j(l) = 4*l**3 - l - 1. Let p(u) = t*f(u) - 7*j(u). Calculate p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1446215 - 540016. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/7 + 1306*s**2\/7 - 407537*s\/7 - 1779556 = 0. What is s?\nAnswer: -28, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 343253*g\/3 - 114418\/3.\nAnswer: (g + 114418)*(3*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssyhhhsyhv. Give prob of sequence yyh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6713760946 + 1024.3?\nAnswer: -6713759921.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 3*u + 1. Determine g(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5220058ml to litres.\nAnswer: 0.0005220058","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 2*w)*(w + 0*w - 2*w) + 11 - 11 + 5*w**2 + 0*w**2 - 2*w**2 + 6*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 5. Let y(j) = -4*j + 7. Let x(q) = 7*g(q) - 5*y(q). Let m(t) be the third derivative of t**4\/24 - 20*t**2. What is m(x(n))?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65984 and 13351450.\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -4*v**5 - 468*v**4 + 4972*v**3 - 13644*v**2 + 9144*v = 0.\nAnswer: -127, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-8))\/(5\/1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98783810.\nAnswer: 2, 5, 9878381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 11 = -3*u. Suppose 3*p = u*p. Solve p = 4*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 17 = -3. Let h be i\/(-24) + 466\/(-12). Let x be 2 + ((-4)\/(-26) - (-45)\/h). Sort 0, x, 2.\nAnswer: 0, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 194, 122, 50, -22, -94?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -2)\/(2\/(-2)). Let w(j) = 5 + 3 - 3 - 17*j + p. Let g be (5 - 2) + 0 + -1. Let t(q) = 4*q - 1. Give g*w(x) + 9*t(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a millennium?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73014 is divided by 1739?\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110 - -113) + -3 + -1 - 8 - (20 - 35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2796942339 to the nearest integer?\nAnswer: 52886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009491346 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 1 (c) -2 (d) -1\/4 (e) -7 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 2)\/(-2 - -1*1). Let g be 229\/(((-2)\/(-16))\/(4\/(-32))). Sort 0, -1\/9, g, u in descending order.\nAnswer: 0, -1\/9, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 425537 and 425523 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 57. Let h = k + 232. Let a = -206.99822 + h. What is a rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 362.3 - 66.3. Let c = g + -194. Let y = c + -102.0051. What is y rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - a**2 - a + 1. Let u(y) = 3*y**2 - 73*y - 3. What is u(q) + 3*w(q)?\nAnswer: 6*q**3 - 76*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) -13 (b) 0.4 (c) -0.3 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 469 (base 10) to base 9\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170 - 106. Let h = 428 + -301. Let u = k + h. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 16*l**2 + 222*l - 77. What is j(-25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdpg when four letters picked without replacement from {g: 2, p: 9, d: 1, o: 6}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -1\/13 (b) 750 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(4*f**2 - f**2 + 0*f**2)*(-98 + 98 - 66*f**2).\nAnswer: 198*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 0.0791?\nAnswer: -4.0791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from ukkkuk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {u: 1, p: 2, m: 1, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**3\/3 - 112032*w**2 + 3360060*w - 25198200 = 0. What is w?\nAnswer: 15, 83994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1292*m - 9. Determine x(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3348714 to the nearest integer?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 163296 divided by 1944\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2832068 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176575929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**2 + 4*t + 12. What is the units digit of i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27803, 55604, 83405, 111206, 139007, 166808?\n\"Answer: 27801*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1540)\/85 - 15?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlgg when four letters picked without replacement from llegvkvkliklvgvkgivv?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 3, 0.4, -23\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 4:56 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 16. Let w be f(0). Suppose -o + 2*o - 20 = -3*q, 3*q = -5*o + w. Let k be (10\/q)\/5*1. Do k and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 7:12 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 25*w - 19. Let m be k(-3). Let p = m - -189. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2697, 5383, 8067, 10749, 13429, 16107?\n\"Answer: -n**2 + 2689*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/4 and -79\/556?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135.14 - 135.08. Which is the closest to t? (a) 14 (b) 0.05 (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 1. Let s = 3.1 + l. Which is the smallest value? (a) s (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 0 = 2, 0*o + o + 5*m + 38 = 44 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 a, and 1 y when four letters picked without replacement from {c: 3, j: 4, y: 3, r: 3, a: 5}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.821 + -0.179. Let p = -44 - -395\/9. What is the closest to g in -3, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**3 + 3 - 3 - 3545041*t**2 + 3545041*t**2.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1795.78 + 1796.3. What is the closest to 2 in 2\/7, -1\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -79, -2518, -5\/2?\nAnswer: -2518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15397, 16453, 17509, 18565, 19621, 20677?\nAnswer: 21733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m**2 - m - 1. Suppose 9 = -4*n - 3*a, 0 = 5*n - 3*a - 0 - 9. What is b(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37052185?\nAnswer: 5, 19, 79, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*m - 28, -i - 2*m - 32 = -3*i. Let k be (-4)\/(-2) - i\/(-5). Suppose -2*h + k*h = 124. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sesesessseees. What is prob of sequence ese?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 13*x**2 + 22*x - 98. Let f be j(12). What is the highest common factor of 704 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5170 + -5169. Let u(r) = r - 1. Let z(n) = 0*n - 2*n + n. Determine m*z(v) - u(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by (-30)\/18 - ((-91)\/(-21) + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66.4918 + -39.4931. Let f = p + -27. What is f rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2485688 divided by 6.\nAnswer: -1242844\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 1. Calculate q(-26).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*h + 3\/7*h**3 - 9\/7*h**2 + 0 = 0. Calculate h.\nAnswer: -7, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144.117 - 144. Let n = h - 0.037. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, 0.03, -77?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/2 - 26\/14. Let g = -199\/340 - 1\/68. What is the closest to g in 0, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 119*f + 17. Suppose 0 = -3*z, 0 = 9*p - 8*p - 5*z + 3. Let v(q) = 20*q + 3. Give p*l(t) + 17*v(t).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32b + 0?\nAnswer: -32b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 70*i + 1087. Give g(-55).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/16 - (1 + -19). What is the common denominator of 7\/20 and u\/6*(-81)\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26804593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 378685 at most 378691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113409 is divided by 443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 177, 343, 585, 909, 1321, 1827, 2433?\nAnswer: 3145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 12. Let s(z) = -z**3 - 14*z**2 + 16*z + 10. Let b be s(-15). Let o be f(b). Suppose -4*q + 28 + o = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -11 - (-25 - -36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70515?\nAnswer: 3, 5, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -532\/359 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**7\/45 - 2*m**6\/15 - m**5\/3 - 4*m**4\/9 - m**3\/3 - 2*m**2\/15 + 10*m. Solve f(s) = 0 for s.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x. Let v(z) = z**2 + 354*z. Give m(v(s)).\nAnswer: 2*s**2 + 708*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44887, 44885, 44883, 44881?\n\"Answer: -2*u + 44889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h + 75*h**3 - 7*h + 27*h.\nAnswer: 75*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124896314?\nAnswer: 2, 17, 79, 46499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 440 + 26*n - 440 + 3*n + 3*n - 4*n - 5*n + n + 3*n + (3*n - 2*n - 3*n)*(4 - 5 + 2) + n - n - 2*n.\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000110000001011111100 (base 2) in base 4?\nAnswer: 120300023330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892166 is divided by 126140?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-746 - -787) + (-36 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 16 = w. Is w\/12*(-348)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (24 - 55) - (14 + -4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -357 (b) 1759 (c) 1.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(35))\/sqrt(7) + -2 + sqrt(15)\/sqrt(3).\nAnswer: -sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132220323022 (base 4) to base 6.\nAnswer: -444052534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, 2\/13, -0.3.\nAnswer: -20, -1, -0.3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315616.\nAnswer: 2, 7, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/3910 and 13\/4.\nAnswer: 7820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 462, 691, 920, 1149?\nAnswer: 1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 23*x**2. Let c(z) = -45*z + 34. Let g(l) = -6*l + 4. Let t(o) = 2*c(o) - 17*g(o). Give t(b(u)).\nAnswer: 276*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 385, -0.6, -5, 2\/23, -17.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -129768*x**2 - 2*x. Let z(i) = i**2. Give b(z(d)).\nAnswer: -129768*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/16 + 86\/352?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Let o(r) = 2*r**3 - 5*r**2 + 5*r. Let j be o(d). Suppose 4*l = -20 + j. Calculate the remainder when 22 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58108000 to the nearest one million.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1212.97 - -1206. Let l = -7 - s. What is l rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = 5*j - 84. Let b(d) = -2*d + 8. Determine b(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r + 12 = 0. Let o = 1361 - 756. Suppose 0 = 4*q - o + 221. What is the greatest common factor of q and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 3880*u - 1007975. What is i(-309)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 10:23 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 1:42 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 - 3*g**2 + 2*g**2 + (1 - 1 + 1)*(-2*g**2 + 3*g**2 - 3*g**2).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*n + 4*n + 12220. Suppose 5*h + 7*m - 6*m = n, 541 = 3*h - 4*m. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1\/323, 6, 0.2, -2\/7 in decreasing order.\nAnswer: 6, 2\/9, 0.2, 1\/323, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1\/(2\/270)*(-150)\/(-125) and 20?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 17*q**2 - q. Let i be l(1). Let t(c) = 9*c + 5. Let j(x) = 22*x + 22. Let z(d) = -20*d - 24. Let o(f) = 4*j(f) + 3*z(f). Calculate i*t(n) - 5*o(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -182.91+174\nAnswer: -8.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {y: 11, x: 9}.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 109*s**2 - 11*s + 20. Let h be n(2). Suppose 0 = -2*y + 2*v + 852, 17*v = y + 12*v - h. List the prime factors of y.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3366 and 79603.\nAnswer: 267943698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**2 - 2 + 4*x**4 + 39*x + 6*x**2 + 6*x**2 - 13*x**2 to the form z*x**3 + s*x**2 + r*x**4 + j + l*x and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egffgfdffgebbggfffb. What is prob of picking 1 g and 1 d?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 q when four letters picked without replacement from wizwqimqiqwzmmiwmmqg.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 900, -6, -2 in descending order.\nAnswer: 900, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*j - 64*j + 142 = 457. Solve 54*m + j = 89*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:34 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**2)\/n)**(-1\/41)\/(n**(-4\/7))**44)**(-5\/6))**(-2) assuming n is positive.\nAnswer: n**(12050\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33210 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*h - 186, h = -i - 0*i - 88. What is the remainder when 55 is divided by i\/(-12) - 2\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4913.19 kilometers?\nAnswer: 491319000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 24*o**3 - 18*o**2 + 18*o. Let w(l) = -l**2 - 4871 + l**3 + l + 4871. What is 18*w(v) - y(v)?\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2417*g + 23831. Determine m(-10).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3\/3 + 1409*i**2\/3 + 20438*i\/3 - 40103\/3 = 0.\nAnswer: -337, -17, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -3.067?\nAnswer: 64.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1011011011000101?\nAnswer: 1011011011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 10. Let y be z(-5). Suppose y = 5*j + 5*j - 30. Suppose 6 = 5*u - 2*u. Solve -4*w + q = -2*w, w - u*q = j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 4*z**2 + 4. Let h be o(-4). Let x(d) = -1041*d - 6222. Let s be x(-6). Which is smaller: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 3*c. Suppose -3*u + 4*r - 1 = -3, 5*r - 5 = 0. Let f be p(u). Find the second derivative of 2*z**2 - 2*z**3 - f*z**2 + z wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2607?\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*t = 48, -3 - 3 = -3*t. Let p be 24\/f*3\/(-18). Solve 0 - 2\/9*a + 2\/9*a**2 + p*a**3 - 2\/9*a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 318, -3.3, 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 2*n**3 - n**3 + (-2*n - 3*n + 3*n)*(-3*n**2 + 0*n**2 + 5*n**2) + 4*n**3 + n**3 - 3*n**3)*(1 - 1 - 1).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/351 and -55\/42764?\nAnswer: 15010164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from ddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1067 - 760. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36036 - 18369 = 267*l + 570*l for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4218\/(-495))\/(-2) + 26\/7293*-17. Factor -n*j**2 + 18\/5 - 3*j**3 + 3\/5*j**4 + 3*j.\nAnswer: 3*(j - 6)*(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2169a (base 14) to base 15\nAnswer: 18e78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 - -4) - -19 - (-22 + 18).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 655 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:53 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aabraurrbnuneranaa. What is prob of sequence unrn?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -13 - ((12 - 4) + -12)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 6*a + 18. Let n be g(8). Let l be 75\/65 - (n + 72\/(-39)). Is ((-1)\/(-3) - 25466\/(-21))*l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 12. Factor 2*h**o - 2*h + 4*h**3 - 2*h**4 - 3*h + h + 0*h.\nAnswer: -2*h*(h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328797644.\nAnswer: 2, 7, 1677539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.041, -3, -0.11?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -3, 4 in decreasing order.\nAnswer: 5, 4, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61410 = -502*k - 1545*k for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + 8. Suppose j - t = -2*j + 3, 4*j = -4*t + s. Suppose -l - 3*b + 494 = 0, j*b + 1504 = 2*l + l. Round l to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.17978 - -2.0748?\nAnswer: 9.25458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7754\/3 + -2584. Let p(z) be the first derivative of 1\/6*z**6 - 11 + 0*z**5 + 0*z + 0*z**2 - h*z**3 - 3\/4*z**4. Find g, given that p(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 69481*u + 208866. Determine n(-3).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -6. Let z(c) = 2*c**2 + 62*c + 66. Let j be z(-30). Suppose -k*l = x + 2*x - j, -2 = x - l. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*u - 2*u + 6, 5*u = 0. Solve l*s = 4*s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204129 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u + 45. What is j(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 28*m - 35*m. Let h(j) = -j + 14. Give h(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + 8\/(-1))\/(4\/(-2)). Suppose d = 5*j - 1243 + 153. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17534 = 5*f - 3871. Let c = f - 3022. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6629686, -13259373, -19889060, -26518747, -33148434, -39778121?\n\"Answer: -6629687*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 11:28 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*a + 4. Suppose -2*c - 3*t = -5*c - 12, -c + a = 2*t. Let p(v) = 6*v**2 + v. What is p(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -2. Let r(x) = -4*x - 3. Let c(n) = -2*n - 2. Give p*c(b) + 4*r(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21036118 divided by -2\nAnswer: 10518059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (12\/(-90) - (-290)\/(-75)). Which is smaller: 2\/615 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/208 and -95\/4096?\nAnswer: 53248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 946203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -503354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -526\/9 - -4217\/72. What is the smallest value in w, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*6\/(-150)*-15*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/2 - 5415\/990)\/((-2)\/(-18)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 2*s**2 + s - 5. Let d(v) = -v**3 + v**2 - v + 4. Let b(n) = 2*c(n) + 3*d(n). Let m be b(0). Let -4\/5 - 6\/5*l - 2\/5*l**m = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 + 74.011. Let k = -0.010999655 + r. What is k rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - 2 - (508 + -532) - 21.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -454a (base 11) to base 16.\nAnswer: -175f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 80642156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.7, 0.4, -0.28?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 - -490043.\nAnswer: 490042.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*n + 8. Let y(w) = -8 + w**3 + 7*w**2 + 2 - 56*w + 48*w. Determine y(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = -2. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -138739123.6 to the nearest one hundred thousand.\nAnswer: -138700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198330.\nAnswer: 2, 5, 7, 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + (36 - -3). Suppose 0 = -5*p + 3*q + 1197, 5*p + 2*q - 1485 + 333 = 0. What is the highest common divisor of m and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Suppose 3*l = -j + 1 + v, 0 = -4*l - 2*j + 4. What is the closest to l in -1, -0.4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/32 + ((-1420)\/(-160) - -23)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxeipvipexxeeilpx. What is prob of sequence vl?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91972?\nAnswer: 2, 22993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1558781491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:25 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0324316 rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1071524)\/2856416 + (45\/24)\/5. Is i > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 + -82. Suppose -141 = 5*r - 696. Suppose 0 = 5*p - y*k - 486, -5*k - r = -5*p + 4*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 46*k - 126. What is x(-43)?\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-354)\/(-590) + 2484\/10 is divided by 95?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 395*x + 390*x - 29 = 0, -2*p - x - 9 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576302 take away -3?\nAnswer: -1576299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j*n*y - 5*j*n + 34*j*y**2 - 2*j*y + 384*j - 3259590*n*y**2 - 11*n*y + n + 6 wrt y.\nAnswer: 68*j - 6519180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4021, 15873, 35623, 63271, 98817?\n\"Answer: 3949*v**2 + 5*v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2. Let q = 0 + n. Let v(m) = -5*m - 1 + 3*m - m**2 + m. Give v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 l when three letters picked without replacement from {i: 2, l: 2, d: 6, r: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76)*-2 - sqrt(76))*-3)\/(5*-3*sqrt(4)))**2.\nAnswer: 171\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 412 + -218. Suppose -5*a = -c - w, 86 = 3*a + 2*c - 33. What is the remainder when 116 is divided by a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36185 is divided by 272?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o + 255. Suppose -c + o = -h + 6*h, 4*c + 2*h = 250. Calculate the highest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 337008, 336520, 335704, 334560?\n\"Answer: -164*b**2 + 4*b + 337168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + -5 + 4 + sqrt(1377) + 4 + (-3*(sqrt(1377) + -1*sqrt(1377)) - sqrt(1377) - -1*(sqrt(1377) + (sqrt(1377) + -2 - sqrt(1377)) + sqrt(1377)))))**2.\nAnswer: 324*sqrt(17) + 49581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -2*f - 2. Let h = 40 + -43. Let r(p) = 5*p - 5. Let i(o) = -4*o + 5. Let q(g) = h*r(g) - 4*i(g). What is -5*l(n) + 2*q(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/14, 3, 52347?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 593b + 8?\nAnswer: 5946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l + 26*l + 3*l)*(-9*l + 3 - 3).\nAnswer: -153*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgoyyxyxxo. What is prob of sequence xx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6, -4*s + 6 + 21 = 5*m. Suppose 0 = s*r - 1865 + 569. Calculate the highest common factor of r and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5726435 to the power of 1\/2, to the nearest integer?\nAnswer: 2393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 47. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(153)*-4 - sqrt(153)) - (-1 + (sqrt(153) - (-1 + sqrt(153))) - sqrt(153)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 4*i - 1. Let k be c(-5). Let q(b) = -b - 7. Let v be q(-9). Let y(t) = -v + t - t + t. Give y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 28182?\nAnswer: 28182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*y**2 - 33*y**2 - 69*y + 230*y)*(3*y - 22*y + y) as a*y + u*y**3 + z + k*y**2 and give k.\nAnswer: -2898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*a - 224, -4*a - 8 = 3*y - 262. Suppose b = -5*b + y. Calculate the greatest common factor of 481 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Let n = 2820.5 + -2823.5. Which is the smallest value? (a) 0.3 (b) n (c) z (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 2*r + 3. Let w be z(3). Solve w*c + 5*c = -10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4796 - 4602.7. What is a rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00593703682 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72875.\nAnswer: 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.030628 + -113256379\nAnswer: -113256378.969372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 7*n**2 + 6*n + 7. Let b be r(6). Calculate the greatest common factor of b and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1357887459 less than 0.16?\nAnswer: 1357887459.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 22*w**2 + 4*w - 5. What is z(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t. Let h(l) be the third derivative of -1\/4*l**4 + 0*l + 0*l**3 + 4*l**2 + 0. Calculate m(h(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 minus 33901668?\nAnswer: -33901642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**5 - 15*x**4 - 10*x**3 + 69*x**2 - 31*x. Let c(m) = -5*m**5 + 15*m**4 + 10*m**3 - 72*m**2 + 28*m. Let y(f) = 3*c(f) + 4*k(f). Factor y(q).\nAnswer: 5*q*(q - 2)**2*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-9\/8)*l)**(-21)\/(l**6)**(2\/7) assuming l is positive.\nAnswer: l**(-1125\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 + 168. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0441 - -0.3559. Let u = 0 + 0.1. Let f = -0.5 - u. Which is the closest to 0.3? (a) v (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 27*m**2 + 8*m - 82. Let p be h(-30). Calculate the highest common divisor of 232 and p.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + 5 + -1*sqrt(180).\nAnswer: -6*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*b = -113107, 0 = -5*s - 2*b + 10885 + 102238. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) - (sqrt(48)\/sqrt(4) + sqrt(12)))*4 + sqrt(12))\/(sqrt(54)*2))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 485.6 + -485.9. Put 0.4, 4, s, -0.4, 3 in ascending order.\nAnswer: -0.4, s, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 297210*s**2 + 7427805*s - 40403560.\nAnswer: 5*(s - 59417)*(s - 17)*(s - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -23. Calculate the remainder when 64 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*2\/(-5))\/((888\/30)\/74)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 56*s**2 + 5*s + 49. What is the tens digit of f(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42483\/15 - 2\/10. What is the greatest common divisor of u and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29.916088291 from 34.\nAnswer: 4.083911709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*c - 305*c + 2031 = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4761*k**5\/7 + 1932*k**4 - 29496*k**3\/7 - 30816*k**2\/7 - 4656*k\/7 - 192\/7 = 0.\nAnswer: -4, -2\/3, -2\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1424*s + 95013 + 10363 for s.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 2859750?\nAnswer: 48615750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*w - 56. Suppose -4143 + 2477 = -14*s. What is the remainder when s is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17883 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44249452282 + 1.4?\nAnswer: 44249452283.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4)*6)\/(21\/(-14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1076312 and 93\/776.\nAnswer: 1076312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 1 - 184 - 400)*(0*k - k + 3*k).\nAnswer: -1072*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 166*g - 11794. What is s(71)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4415781, -4415793, -4415805, -4415817, -4415829?\nAnswer: -4415841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5328 = 5399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130311323 + -10?\nAnswer: 1130311313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 128128 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f*(f*f\/f**(-5))\/f)\/f))\/(f**(2\/9)*f)*f**(2\/11)*f*f*f*f*f\/(f**(-2\/7)*f)*f*f)\/(f\/f**6*f*f*f*f**(2\/7))**(10\/9) assuming f is positive.\nAnswer: f**(2183\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12412 divided by -3103.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, -5, -2, 4 in descending order.\nAnswer: 96, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, -58 in decreasing order.\nAnswer: 5, -2, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1584) + -2*sqrt(1584))*1 + 5)**2.\nAnswer: -120*sqrt(11) + 1607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 2 - 26 - (-43 - -2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-90)\/(-25))\/((-9)\/(-30)). Let v be 3*(5 - 64\/k). Let n be (-8600)\/35 - (15\/(-21) - v). Round n to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255311304 (base 6) in base 7?\nAnswer: 60434146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s + 24. Suppose s = -5*o + 2*o. Put 5, 2, o in decreasing order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2406 + 45966. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 421722 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -10*k**4 + 1255*k**3 + 3195*k**2 + 650*k - 1280 = 0.\nAnswer: -2, -1, 1\/2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1249 - -1259. Solve s = 2*t, 1 = 5*z - 3*z + t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 3, -17, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76195*s**4 + 21*s**3 - 3*s**2 - 4463*s - 19086?\nAnswer: -914340*s**2 + 126*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 1 + 4*x**3 + 144*x - 67*x - 67*x as l*x + v*x**2 + g + r*x**3 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**4*(s**(2\/17))**(1\/77) assuming s is positive.\nAnswer: s**(10482\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 16) to base 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 19. Suppose 0 = 3*h - 4*h + p. What is the remainder when h is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 5. Let s be l(0). Find the second derivative of -35*c**2 + 2*c + 36*c**2 - s*c wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33193*i**2*q + 1381*i**2 - 67*i*q - 791 wrt q.\nAnswer: -33193*i**2 - 67*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43581 - -39771. Is -19048\/5 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5 = -n, 0 = -2*n + 4*i - 7 + 21. List the prime factors of n\/33*-9 - (-1759 + 1).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51163?\nAnswer: 7, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189337.\nAnswer: 189337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 1529?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94448, 188889, 283330, 377771, 472212, 566653?\n\"Answer: 94441*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 851206 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2536*u - 5819*u + 2144*u to the form m + q*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -259*t**2 + 547*t**2 - 283*t**2 + 33*t - 181*t - 133*t - 2 as f*t + d*t**2 + n and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/50 and -48\/35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3657 (base 9) to base 6.\nAnswer: 20341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 0*h**3 + 133\/4*h**4 - 94*h + 201 + 0*h**2. Find the first derivative of p(u) wrt u.\nAnswer: 399*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2322615 by -2322615.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*d, -7*b + 3*b - d = -1383. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = w - 6. Let n = w + 8. Suppose 2*b - n = 1. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356*-0.31.\nAnswer: -110.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1903526029 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.1, -1\/9, -28\/5, 1, -9, 28\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g + 1. Let h(i) = i. Let p(f) = -5*h(f) + k(f). Let v be p(3). Suppose -3*x - m + 93 = 0, v*x + 5*m = 35 + 78. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-96)\/10)\/(22385\/1400 - 16) is divided by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:01 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 257.6 - 257.69. Is z <= -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 345.5 and 4181.\nAnswer: 1444535.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616115 = -132*b + 1615609. Is 53 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:41 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037643 to five decimal places.\nAnswer: -0.00376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16592*c**2 + 16212*c**2 - 32796*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -92973800 rounded to the nearest one hundred thousand?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7524 = -3*s + 3*d, 4113 = 4*s - 5*d - 5921. What is the highest common factor of s and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*n + 1166 - 872 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 5. Give j(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33611 is divided by 4797.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27\/8 - -205\/56. What is the second biggest value in 0.2, v, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i - 360. Let m(q) = -2*q - 1. Let l(d) = 6*m(d) - z(d). What is the hundreds digit of l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -10*x**4 + 64*x**3 + 96*x**2 - 16*x + 16. Let b(r) = 3*r**4 - 21*r**3 - 32*r**2 + 5*r - 5. Let y(k) = 16*b(k) + 5*u(k). Factor y(a).\nAnswer: -2*a**2*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -31*r + 5. Let c(a) = 9*a + 2. Let u(d) = -3*d - 1. Let f(w) = 3*c(w) + 7*u(w). What is 11*f(g) + 2*j(g)?\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 5*u + 13 = 6, 21 = 5*y - u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33, 135, 305, 543, 849?\n\"Answer: 34*n**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 14. Let t(d) = -6*d**2 + 3*d + 1. Let k(w) = -12*w**2 + 5*w + 2. Let b(r) = c*t(r) - 4*k(r). Give b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 712 divide 5660902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.9 - 1.2. Let t = 7 - j. Let d = 46.12 - 43.12. Put t, 2\/9, d in descending order.\nAnswer: d, t, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 303 - 2119\/7. Which is the closest to -1\/3? (a) -2\/11 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9641 is divided by 9636?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210210 is divided by 208376?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 16*u**2 + 26*u - 24. Let x(o) = -3*o**2 - 5*o + 5. Let i(n) = -2*t(n) - 11*x(n). Is i(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -109.62.\nAnswer: -10.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -234.61 + -72110045?\nAnswer: -72110279.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (61 - 32) - -56\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1243, -2418, -3595, -4774, -5955, -7138, -8323?\nAnswer: -9510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1028, -1004, -980, -956, -932?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 160 - 54. Calculate the remainder when l is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 7 (b) -4 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 - -13)\/((-10)\/895). What is the biggest value in j, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1305, -3231, -5157?\n\"Answer: -1926*v + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 255\nAnswer: -127.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 234\/19, 2\/11, -2\/13?\nAnswer: 234\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**8\/1680 + v**7\/1050 - v**6\/300 + v**2 + 15. Factor n(w).\nAnswer: w**3*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n**3 - 28138*n + 13816*n - 39*n**3 + 14322*n - 3*n**3 - n**3.\nAnswer: -65*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1014 and 409097.\nAnswer: 31909566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 23 + 18 = 4*m, v + 1 = 0. Suppose -m = -h + 2. Calculate the greatest common divisor of h and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3002 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*m*q**2*v + 13*m*v + 2*m - 6*q**2*v - 130*q*v wrt m?\nAnswer: -20*q**2*v + 13*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 132944a (base 12) to base 13\nAnswer: a291b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50331 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*t - 17 = -7, 15 = -4*u + 3*t. Let d(g) = 19*g**2 + 7*g + 2. Let x(y) = -3*y**2 - y. Let l(a) = d(a) + 6*x(a). What is the units digit of l(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 11*d**2 + 5*d + 16. Let r be k(11). Let z = 495\/7 - r. Which is the closest to 1? (a) 11 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 14*l**2 - 22*l - 17. Let p be h(12). Let w(m) = m**3 - 7*m**2 + 1. Calculate w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*d + 13126, -3271 = 5*w - 6*w - 3*d. Round w to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 + 3*i**2 - 568*i - 114*i**3 + 570*i to h*i**3 + f*i + z*i**2 + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-12))\/((-2)\/28). Suppose -5 - 7 = -5*q - j, -5*j - v = -2*q. Suppose q*n + 53 - 41 = 0. Sort n, -2, 6 in increasing order.\nAnswer: n, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14802 * -0.3.\nAnswer: -0.044406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28672 - 10.66628. What is d rounded to 1 decimal place?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1261*(-1)\/3 + 7\/(-21). Suppose 3*g = -2*g + i. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2))**(-19)*q\/q**(-2\/7)*q*q**(-1\/5))**(-19) assuming q is positive.\nAnswer: q**(-14022\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 197*w. Let x(y) = -697608*y**2. What is p(x(l))?\nAnswer: -137428776*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -6, 5 in increasing order.\nAnswer: -6, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*g**4 + 2*g**3*j**3 + 40*g**3 - 4*g**2*j**3 + 56*g**2*j**2 + g**2*j - j**2 wrt g?\nAnswer: 288*g + 12*j**3 + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/(299\/(-26)). Is p at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/2 + 136449*l**3\/2 - 2326096829*l**2 - 81494664642*l - 79168499588 = 0.\nAnswer: -34, -1, 68242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 4019.\nAnswer: -2009.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/47 in 0.2, -203, 3\/4, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 + 83. What is the third smallest value in -1\/3, d, 4, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3163b6 - -9?\nAnswer: 316403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -12*b**2 + 15\/8*b**3 + 111\/8*b - 15\/4 = 0.\nAnswer: 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3 - 3 + 2*k + (-5*k + 3*k + 4*k)*(5 + 0 - 2) - 22 + 22 + 10*k - 7*k + 0*k + 43*k to z*k + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 7*y**4\/12 + y**2 + 661*y. Let v(z) = 2*z. What is v(t(m))?\nAnswer: 14*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2 - 2) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 16*d + 61. Let y be b(-6). Let n be y\/(-5) - 100\/750. What is the closest to 23 in 0.3, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2792*l**2 - 18*l**4 - 27*l - 2789*l**2 - 251*l + 47*l + 19*l**4 - l**3 to d*l + g*l**3 + z*l**2 + i*l**4 + v and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 960 = -34*y. Calculate the greatest common divisor of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049 - 1820?\nAnswer: -1820.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790838 is divided by 295.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.648264 minutes in nanoseconds?\nAnswer: 578895840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29865 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**1))**(-1\/14) assuming b is positive.\nAnswer: b**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 6)*(-53*s + 586 - 586)*(3 - 5 + 4).\nAnswer: -742*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w = -11*w - 16326. What is w rounded to the nearest 10?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5830364773.\nAnswer: 31, 188076283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x + 8. Let c be q(-4). Let a be (c\/(-36))\/((-1)\/6). Let y(l) = a*l + 15*l**3 - 5*l - l**2 + 1 + 0. Calculate y(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201110021012 (base 3) to base 16.\nAnswer: -160fa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let k(t) = 49 - 4*t + 0*t - 47 + 2*t. Give k(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3368 (base 9) in base 3?\nAnswer: -10102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18693\/8308*(-8)\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 610*q - 26864. Give u(44).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-135)\/(-81))\/(1\/(-1929)*-1). Suppose -6*q = -o - 2911. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655258 to the power of 1\/2, to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2626, 5268, 7912, 10558, 13206, 15856?\n\"Answer: x**2 + 2639*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let u(f) = -f**2 + 4*f - 3. Let o(g) = 3*g - 2. Let m(d) = -3*o(d) + 2*u(d). Determine -m(s) - 2*n(s).\nAnswer: 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1469, 2\/7 in increasing order.\nAnswer: -22, 2\/7, 1469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -71, -1928 in decreasing order.\nAnswer: -1, -71, -1928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93184088 a multiple of 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.2 * 0.1.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74bcf (base 16) to base 9.\nAnswer: -807817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/953603 + -1063267281\/30515296. Which is bigger: z or -36?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = 5*z + 4*z + 63 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 1, c: 1, q: 1, w: 3, y: 2}. What is prob of sequence wbcq?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022838524 rounded to 4 decimal places?\nAnswer: 0.0228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.641673 months in centuries?\nAnswer: 0.0230347275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 502 = -13*o - 5387. Let r = o - -1217. What are the prime factors of r?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 4*r**2 - 3*r + 5. Let g be s(-4). Suppose -g - 30 = z. Let t = 80 + z. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 226.\nAnswer: -9.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 5*m - 36 = 0. Let o(w) = w**3 + 7*w**2 - 25*w - 1 + 3*w**2 - 5. Let f be o(-12). Calculate the greatest common divisor of m and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 4814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 89?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 15\/4 (b) 0.4 (c) 2\/3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4112 and 674882.\nAnswer: 5399056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 10 = -23*t. Suppose -2*o + 3*j = t*j - 15, 5*j + 9 = -o. What is the greatest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*b = 261*b - 137*b + 180 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -321.14 - -316. Let j = l + 4.4. Round j to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 20*n + 27. Is i(2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -8)*6\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (5 + 15 + -32)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 380332 - 131205. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.392 and 31.\nAnswer: -12.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 - 544*r\/9.\nAnswer: -2*r*(r + 272)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (18 + -21 - (2 + -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 6. Let n = 11 + x. Solve 4*q - 6*q = -n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3772.2 + 3708. Do o and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30138709351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 0. Let k(c) = -11*c - 3. List the prime factors of k(u).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 2. Suppose 3*i + 0*n - 7 = -5*n, i = 5*n + 9. Suppose -3*c - i*j + 5*j = -3, 3*j + 9 = c. Determine t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-2 - (-15 + 5 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*r = -4*d + 459*r + 20, -4*d - 40 = 3*r + r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56989807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**1*u)**(-35\/3)\/((u\/(u**7*u)*u)\/u**(1\/2)))**35)**(-44) assuming u is positive.\nAnswer: u**(23870\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -64. Let y(f) = f**2 - 1. Determine y(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29644, 29773, 30104, 30739, 31780?\n\"Answer: 17*v**3 - v**2 + 13*v + 29615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3977 is divided by 91?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 114*i - 441. Let j be l(9). Calculate the greatest common divisor of j and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 45*v. Let p be i(-18). Let o = 579 - p. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 42.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from {s: 1, t: 5, f: 1, q: 4, u: 3, b: 4}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270 + 7*q**3 - 72*q - 8*q**3 - 68*q + 236*q - 79*q.\nAnswer: -q**3 + 17*q - 270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7080923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-40))\/((-66)\/30)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 527491?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16*m + 3. Let d be t(3). Suppose d = 3*q - 4*r, -2*q - 10 = 2*r - 30. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -5*(2002\/56)\/((-5)\/40) and 2002.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -50. Let t(w) = -30*w + 1. Calculate the remainder when t(-1) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10653 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 3:16 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8460757 is divided by 75542.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 n when three letters picked without replacement from {n: 5, a: 6, u: 1, s: 1, f: 1, e: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12128*h + 1 + 14*h**2 + 6074*h + h**3 + 6067*h to z + a*h**3 + p*h**2 + o*h and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -703*w + 36 - 2011*w - 9364*w - 36 as k*w + f and give k.\nAnswer: -12078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -109*k - 17. Let d(p) = 212*p + 33. Let v(h) = -4*d(h) - 7*o(h). Let y(m) = 43*m + 7. Determine 6*v(a) + 11*y(a).\nAnswer: -37*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 4*h**2 - 6*h + 1. Let z = 16 + -10. Let s be a(z). Round s to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209572865*o - 209572865*o - 21*o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 + n**2 + 3*n**3 + 4*n**3 - 2*n - 1 - n**2 - 8*n**3. What is v(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -624 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8341 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 2. Let i be (-6)\/(g\/24*6). Suppose x - 24 = -i. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d. Let k(o) = -1481*o. Give h(k(w)).\nAnswer: -14810*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7822 = -2*h, -4*b = 4*h + 19 - 10475. Round b to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.08186*0.09\nAnswer: -0.4573674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 104403 (base 11) to base 14\nAnswer: 44b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332132332 + 10?\nAnswer: -332132322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188349?\nAnswer: 281, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 9:11 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - x - 1017 = 0, -2*m - 9*x = -12*x + 400. Let h = -2231\/11 - m. Determine k, given that 6\/11*k - 4\/11 - h*k**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:48 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18*w. Let s be u(-5). Suppose -4*g - 685 = -5*q, -371 = 3*g - 3*q + 139. Let k = s - g. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*d + 17*d + 12*d)*(-d - 2*d + 6*d)*(1 + 4*d - 1)*(-4 - 2 - 1).\nAnswer: -756*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/3 + 678*k**4 - 536036*k**3\/3 + 3190556*k**2 - 27240410*k\/3 - 12450050 = 0. What is k?\nAnswer: -1, 5, 15, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from kwccckwmckkkcwkk?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 208*i**2 + 1. Let m = 19 - 10. Suppose p + m = -4*p - 4*a, -5*p - 7 = 2*a. Let u be t(p). Calculate the highest common factor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17\/311 + -673\/933. What is the third smallest value in -0.8, 2, u, 13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 - 5*d**2 - 7*d**2 + (-6*d**2 + 2*d**2 + 2*d**2)*(-1 + 1 + 1) - d**2 + 0*d + 0*d to the form j*d + u + c*d**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/((-2)\/25)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b - 4. Let s(r) = -r + 1. Let i(w) = -4*s(w) - v(w). Let n(d) = 5*d + 12. What is n(i(z))?\nAnswer: -5*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 168 = -4*m, 5*m = 15 - 0. Suppose 58*u + a = 19*u. Are u and -26\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 5*a**3\/3 + 940*a**2 - 1993. Let d(x) = 0. Calculate x.\nAnswer: -376, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let l(z) = -z**2 + 4*z + 2. Calculate -3*c(k) - l(k).\nAnswer: k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97172776 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1678528 - -218528. What is k rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-32)\/1)\/4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 973.294 - 0.283032.\nAnswer: 973.010968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -2*y + 6, 38 = -5*s - y + 55 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(15\/(-6) + 2\/4). Let u be -3 + 3 + 4 + v. Suppose -u*x + 370 = -422. What is the highest common divisor of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 35 + 61 = 5*h, -3*m + 26 = h. Suppose 3*s = -s + h. Let x(q) = -q. Let v(f) = 3*f - 5. Let j(c) = -v(c) - x(c). Give j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10859, 44763, 101713, 181709, 284751, 410839, 559973?\nAnswer: 732153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 318*k - 4957. Calculate t(15).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1\/3 (c) -1\/30 (d) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m. Let g(u) = 457*u**2 + 59. Calculate g(v(x)).\nAnswer: 1828*x**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p**(-8))*p)**(2\/11)*((p*p*p**(11\/4))\/p)**3)**(-10) assuming p is positive.\nAnswer: p**(-2795\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 22. Let g = u + -6. Suppose -5*n - 23 = -283. What is the remainder when n is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-9 - -15) + -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 8 - 14 - 22*k to the form v + r*k and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*b - 632 + 5828 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-1 + 0 - 38)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**5\/33 - d**4\/44 + 90*d**2. Solve a(o) = 0.\nAnswer: -3\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -332\/5*u**2 - 4\/5*u**3 - 6724\/5 - 7052\/5*u.\nAnswer: -4*(u + 1)*(u + 41)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/30 - 5*t**4\/8 + 202*t**3\/3 + 143*t**2. Find the first derivative of r(l) wrt l.\nAnswer: 4*l - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.1343 + 0.0343. Let f = -2 - -23. Let g = r + f. Which is the third biggest value? (a) g (b) 0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46758, 93517, 140274, 187029, 233782, 280533, 327282?\nAnswer: 374029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*l + 3. Let k(z) = z**2 - 7*z + 16. Let b be k(3). Suppose 0 = -2*m - 2*g + 6*g - 16, -25 = -5*g. Sort m, b, l.\nAnswer: l, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -a + 5*y, 0 = -3*a + 6*a - 3*y - 3. Let f(v) be the third derivative of -1\/180*v**5 - 1\/18*v**a + 0 + 0*v - 1\/36*v**4 - 3*v**2. Factor f(o).\nAnswer: -(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660 = 71*f - 74*f. Suppose 0 = q - 23*q + f. Solve 6*c - q*c - 12 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 5*a + 8*a. What is the smallest value in 8, a, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 8:01 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 1.3. Let a = 0.1 - x. Let z = a - -0.3. Put z, 5, -2 in descending order.\nAnswer: 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 26*a**2 + 20*a - 185. What is t(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i - 327*i + 60*i + 47*i - 262*i.\nAnswer: -508*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*o = -274*o - 1305 - 18862 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.47275 nanoseconds in seconds?\nAnswer: 0.00000004147275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/19))\/((n*n\/n**0*n)\/n))\/((n\/(n\/n**0))\/n)**(1\/6) assuming n is positive.\nAnswer: n**(-83\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*p - 27*p + 15*p.\nAnswer: 101*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.6 (b) 281\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -1 + (-2)\/(-1). Suppose 0 = -c - 4*c - 4*q + 14, 3*c + 5*q = 11. Let f = 1 + c. Do f and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2002 (base 6) to base 3\nAnswer: -121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1169854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 283, 284, 285, 286?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/9 + 340\/(-1224))*-14. Solve c + 3*f - i = -f, 15 = 4*c + 3*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -43. Suppose -5*o = j*v + 40, -10*v + 2*o - 9 = -7*v. Sort 9, -1, v, 3.\nAnswer: v, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -5. Let w be k\/(-18)*9\/(-6). Suppose -7 = -t - 2*t - 2*x, -4 = 4*x. What is the third biggest value in -0.1, t, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - 6) + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12155000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-2))\/(-2) + 33. Suppose -2*l = -d - 10. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, x: 4, k: 5, h: 3}. Give prob of picking 3 x and 1 k.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 288990628 or 0?\nAnswer: 288990628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**3 - 14*c**2 + 2*c - 4. What is s(3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -g - 4*r - 12, 2*r + 27 = -3*g. Let v = -4 - g. Suppose v = -u + 8. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138487 (base 11) to base 14\nAnswer: 58b0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 5*q**2\/2 + 7*q - 2. Let o(k) = -143*k - 328. Let m be o(-6). Let f = -536 + m. Calculate t(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -224612631 - -224612999.000269. Let z = -0.0597 + 368.0597. Let n = a - z. What is n rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -899, -2024, -3609, -5660, -8183?\nAnswer: -11184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -42. Let j = i + 32.0000014. What is j rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9262*w - 3192*w + 103190 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 6) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*v + 57*v - 49*v.\nAnswer: -152*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p - 5 - 5 - 5 + 4. Let s be z(5). What is s rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6517 + -4333. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 656092.8745 to the nearest one thousand.\nAnswer: 656000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*(m**(-4)\/m)\/m)\/m))\/(m**(-8\/3)*m))**8 assuming m is positive.\nAnswer: m**(208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z = 28*z - 288 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 46*b**2 + 48*b + 36. What is w(-47)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -50. Let c = 29 - j. Solve 0 = -3*a - x + c, 0 = -x - 3*x + 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.85\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 60 = y. Let n = 139 + -142. Let z be 13*2\/6 - 2\/n. Calculate the highest common factor of y and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 + 5 + -1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -58, -43, -2, -3, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 67, 82, 115, 172, 259, 382, 547?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 7742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ldddrddlddrd.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 d, and 1 o when four letters picked without replacement from tbontdtodttnnont?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 91\/(-35) + (-73)\/(-5). Suppose 4*f = 4*y - 4, 7 = f - 6*f + 3*y. Let g = c + f. Solve -g = -r + 5*p, -r + 5*p + 17 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 p when three letters picked without replacement from {a: 8, p: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.511 + 4.489. Sort 130, 1\/3, -4\/3, s in decreasing order.\nAnswer: 130, s, 1\/3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-5))\/(36\/(-90)). Suppose 5*g = -q*n + 1267, -g = 1 - 3. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 19\/766 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 5. Let g be n(4). Sort g, 5, 4 in descending order.\nAnswer: 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (85\/(-51))\/((-2)\/(-12)). Let z = i - -13. Let g(s) = 4*s + 0*s - z*s + 2*s. Let v(b) = -5*b. Calculate g(v(r)).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 2*w**3 + w**3 + (17*w**2 + 13*w - 13*w)*(3*w + w - 2*w) - 6*w**3 + 2857*w**2 - 2857*w**2 to s*w**3 + a*w + u + c*w**2 and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/((16\/4)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 2. Solve 0*d - 8 = b*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/59 - -124\/177. Which is the closest to -2\/5? (a) -2\/11 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = 2*b + 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1651550170623 - -5\nAnswer: 5.1651550170623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1959, 3813, 5657, 7485, 9291, 11069, 12813, 14517?\nAnswer: 16175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) 130\/61 (c) 3 (d) -1.6 (e) 0 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 5*y**3\/3 - 10*y**2 - 60*y + 35. Factor k(t).\nAnswer: 5*(t - 6)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111*i**3 - 5 + 155*i**3 - 77*i**3 - 267 wrt i.\nAnswer: 567*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 2 (b) -0.18 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*i - 64. Let n = 583 + -565. What is the remainder when i is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -386*i**7\/105 + 2465*i**3\/6 - i**2 + i + 457. Find the first derivative of t(a) wrt a.\nAnswer: -3088*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2 - 3*c + 2 = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26, -0.3, 466?\nAnswer: 466","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + 0 + sqrt(175)*-1*2))**2.\nAnswer: -900*sqrt(7) + 6525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -0.3, 3777752 in ascending order.\nAnswer: -0.3, -0.1, 1, 3777752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-24))\/19*((-280280)\/(-49))\/20?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162\/15*1)\/((-50)\/(-2250)*-18).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/137 and -64\/3157.\nAnswer: 432509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**5\/20 + i**4\/12 - i**3\/6 + 4*i. Is 9 a factor of x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -1, -37, 5, 3 in ascending order.\nAnswer: -37, -6, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136.0639 - 161.065. Let u = d - -25. What is u rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52618 times -1561\nAnswer: 82136698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54376, 217039, 488140, 867679, 1355656, 1952071?\nAnswer: 2656924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*i**3 + 6*i**3 + i**3.\nAnswer: -39*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/5, 1, 1098?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14\/3*j + 158\/5*j**3 + 394\/15*j**2 + 4\/15*j**5 + 146\/15*j**4 - 44\/5 = 0. Calculate j.\nAnswer: -33, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -558 divided by 1\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2250143, 2250145, 2250147, 2250149, 2250151, 2250153?\nAnswer: 2250155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22526774*i**4 - 27461868*i wrt i.\nAnswer: -270321288*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-2)))**32*n\/n**(1\/5)*n**(-5\/6)\/n*n)\/((n\/((n\/n**(3\/4)*n)\/n)*n\/(n*n**(-2\/7)))\/(n**(-2))**10) assuming n is positive.\nAnswer: n**(-35729\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*c + 3*c = 702, 1181 = 5*h - 2*c. Let i be (h - -3)\/7 - -4. What is the highest common divisor of 190 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 78*b + 410. What is the remainder when 582 is divided by a(-4)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.2884739 * -5.\nAnswer: 16.4423695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15877*m**3*z**3 - 54*m**2*z - 7*m**2 + 2*m*z**3 + 2*z**3 wrt m?\nAnswer: 95262*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13662?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2882852 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 2a?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 9493 and -5786 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-54))\/(24\/(-276)*(-322)\/168)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122 - 11203210?\nAnswer: -11210332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - ((-8 - -6) + -4)) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 15, -6 in ascending order.\nAnswer: -6, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n + 5*z - 9*z, -3*z = -21. Solve -n*g + 11*g - 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = -2*t. Let q be ((3 - t)\/(-3))\/3. Suppose 4*o + n - 4*n - 6 = q, 5*o - n - 2 = 0. Solve a = -o*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.723 - -0.277. What is the third smallest value in l, -0.1, -2\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -59?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99694 = -2*c - 45*d + 40*d, 2*d = -5*c + 249235. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3. Let i be x(-1). Suppose i*w = 3*j - 37994, -j + 3*j + 4 = 0. What is w rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90556153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91.4 + -79. Let h = 12.1 - l. Which is the third smallest value? (a) h (b) 7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 239, 4, 39, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -611, -613, -615?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:55 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v + 10*v - 2*v + 246*v**2 in the form c*v + r*v**2 + s and give r.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42.1 - -33.8. Round j to the nearest integer.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j - 15 + 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g**2 - 8*g**2 - 6*g**2 - 2*g**2. Let b(c) = -9*c - 3. Let d(o) = 36*o + 13. Let z(r) = -26*b(r) - 6*d(r). Calculate h(z(m)).\nAnswer: -648*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 960 = 11*t. Let i be t + 46 - 1*-2. Suppose -g - 2*g + 18 = -3*p, 3*p - 2 = -2*g. Solve g*b + 12 = i*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 1:19 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q + 2*q - 14*q)*(-76 + 76 + 13*q - q + 2*q + 0*q + (q + 0*q - 3*q)*(1 + 5 - 4) + q - q - 2*q) - q**2 - 135 + 135.\nAnswer: -41*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/894 and 17\/180588.\nAnswer: 180588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/5 - 166*a**3\/5 - 326*a**2\/5 - 162*a\/5 = 0.\nAnswer: -81, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7176 and 42.\nAnswer: 50232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3759 (b) -79\/4 (c) 258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 514478833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 2. Let v be o(2). Let q(p) = p**3 - 9*p**2 - 10*p - 11. Let k be q(v). Let z = 46.6 + -46.5. Is k at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 279*c**2 - 10295*c + 21. Give z(33).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5993 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(18)\/sqrt(2)))\/((sqrt(4) + (sqrt(4) - sqrt(4)*1))*6 + sqrt(4)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 1}. Give prob of sequence eel.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -11974147 equal to -11974148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-5)\/(-5)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-1)\/1)*5. Suppose -b*i = -2*w + 3, 4*i = -0*i - w - 5. Let p(u) = -u**2 - u + 1. What is the units digit of p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49591844 - 98470170. Let l = g - -48878324.00000012. Let o = l + 2. Round o to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 9, -2, -51 in decreasing order.\nAnswer: 9, 5\/3, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/4 and -17\/9412.\nAnswer: 9412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/2 - 4*r**3\/3 + r**2 + 2*r - 5. Let t(k) = -k**3 + 5*k**2 - k - 5. Let v be t(5). Let b = v - -7. Give d(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7132606 is divided by 2016.\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/5)\/(2\/5). Let q = 9.8 + -10.37. Let o = -0.07 - q. Which is the closest to s? (a) -4\/3 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.372968 millilitres in litres?\nAnswer: 0.001372968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.386 - 0.164. Let k = z + -0.45. Let u = -6\/179 - 256\/3043. Is u less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10601 = -m, -2*m - 1289 = -k + 833. Does 53 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 23 = -4*y, -2*n + 0*y = 4*y - 2. Suppose -n = 4*k - 5*k - 5*g, 0 = 4*g - 4. Find the third derivative of 18*z**2 - 13*z**6 - z**2 - k*z**2 wrt z.\nAnswer: -1560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -67522, -67492, -67462, -67432, -67402?\n\"Answer: 30*k - 67552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.3, -94, 73?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j + 3*r - 2638, 3*r = 3*j - 7974. Suppose -j = -7*y + 2170. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22047?\nAnswer: 3, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2536 (base 16) in base 10?\nAnswer: -9526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.33 + 0.33. What is the nearest to 0.1 in -2\/5, 3, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14433158029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**4\/6 - r**3\/3 + r**2 - 2*r. Let d(x) = x**2 - x + 1. Let t be 50 + 1 + 1 - 2. Let g = 36 - t. What is g*d(z) + 6*f(z)?\nAnswer: -2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5 - 9. Let v be (45\/(-60))\/(-1 + i). Which is the nearest to 0.1? (a) -5 (b) -2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2646669355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470 and 70?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5038 + -0.0062. Let y = 0.641 - 0.251. Let f = j - y. What is f rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g + 16. Let f be a(-2). Let w be (f + 19\/(-4))\/(1\/316). Let c be (3 - 5)\/(-2) + w + 0. Calculate the greatest common divisor of c and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g**2 - 4 - 11*g**2 + 4. Let v(m) be the second derivative of -m**3\/3 - m + 2. Determine s(v(r)).\nAnswer: -76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 96114.\nAnswer: -96114.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {r: 12, q: 2, t: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72229165 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**3 - 11*h**2 + 5*h - 13. Let k(c) = -12*c**3 + 32*c**2 - 14*c + 37. What is -6*k(p) - 17*n(p)?\nAnswer: 4*p**3 - 5*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + 1 + 0 + sqrt(18) - sqrt(288)*4)*-4 + sqrt(162) + -1 + (sqrt(2592) - sqrt(2592)*1 - sqrt(2592)))**2.\nAnswer: -1410*sqrt(2) + 39787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.91847 take away 3268?\nAnswer: -3252.08153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (4 + -4 + 0). Suppose z*a = a - 5. Let d(g) = -2*g - 10. Let l be d(-10). Solve 2*n + l = 5*u, -u = -a*n - 3*u + 33 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:21 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11142 divided by -5571\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -50. Calculate the remainder when 26 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 428 and 1203750.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 370 = -5*u, 254 = 4*u - 3*v - 47. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-144))\/(-17*(6522\/(-204) + 32))\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 72?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 31 (b) 0.2 (c) -1\/3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/1632 and 65\/18?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2705.9 + -2706. What is the nearest to s in -3\/44, -0.4, -2?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u**3 - 16*u**3 - 6*u**3 + 23*u**3.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -609, 733, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 19*y - 125. Let t be j(14). Suppose -157*l = -t*l - 80. Solve 0 = -l*o - 3*s - 19, -5*o + 2 = -3*s - s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/4 - 28*t**3\/3 + 29*t**2\/2 - 54*t - 70. Let m be n(27). Factor m - 4\/3*l**4 + 2\/3*l**3 + 2\/3*l**5 + 0*l**2 + 0*l.\nAnswer: 2*l**3*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 193.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y. Let n(p) = -55177*p**2. Give m(n(a)).\nAnswer: -386239*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 9336*q + 103180.\nAnswer: -4*(q - 11)*(q + 2345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241175167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -82, -120, -156?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-4 - -2) + 3). Let b be (0 + p)*9\/6. Let w = b - 1. What is the closest to 1 in w, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96.67 - -96. Let n = o + 4.57. Let h = n - 3.927. Round h to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13 + 45)\/8 + 18\/1. Solve 5*v = -u + h, -2*u + 5*v - 31 = -0*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 10\/(-5) + 1. Let j(u) = -u + 29 + 22 - 56 - 3*u + 7*u. Let d(q) = -8*q + 14. Determine z*d(f) - 17*j(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -22*t + 486. Let c be q(25). Sort -6, -4, 5, c, -5 in descending order.\nAnswer: 5, -4, -5, -6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(80) - (sqrt(80)*-2 + sqrt(80))) + 4 - sqrt(80)) + -1*sqrt(80)*-1)*1)**2*-2.\nAnswer: -672 - 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 4215*m**2 - 15 - 13.\nAnswer: -4215*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7620361 nanograms in grams?\nAnswer: 0.0000000007620361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39\/5 (b) 1 (c) -4 (d) -1\/4 (e) 2.42 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 8*j**3 - 10*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 140*b**2 + 49*b - 49. Let z(j) = -1 - 5 + 14*j**2 + 1 + 5*j. Let f(g) = -g**3 - 1054*g**2 - 6198*g + 491. Let o be f(-6). Calculate o*z(x) + 5*w(x).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 18 + 70*k - 72 - 21.\nAnswer: 5*(k - 1)*(k + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 1465*p + 13266. Determine k(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from tdxat?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201 - -200. Let t be (-18)\/(-54) - w\/(-3). Factor t*q - 3\/5*q**4 + 0*q**2 + 3\/5*q**3 + 0.\nAnswer: -3*q**3*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.01405?\nAnswer: -3.98595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-4))\/((-15)\/12). Suppose j*z + 8 = 0, -2*n - z - 7 = -3. Suppose n*a + 28 = a. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/5? (a) -3\/7 (b) -0.4 (c) 0.5 (d) 7\/8 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 96*l**2 - 6*l + 8. Let m(u) = -191*u**2 + 11*u - 15. What is 6*m(q) + 11*p(q)?\nAnswer: -90*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177878, 177884, 177890, 177896?\nAnswer: 177902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/((-364)\/21)*(-4)\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -25906 (c) -4 (d) -0.083\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d + 6*d + 0*d - 5*d + 12*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 7*p - 3. Let q(k) be the first derivative of 3*k**2\/2 + 6*k + 2. Let s be q(-4). Let x be u(s). Solve 3*o = -0*o + x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2)*-2 - -1. Let c(y) = -y - 4. Let i be c(-7). Let l(f) = 2*f + 0*f - f + f**2 + i. What is l(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -389955, -775120, -1160285, -1545450?\n\"Answer: -385165*i - 4790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 497137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*x - 174*x = 20. Suppose -5*w - 1 = 14. What is the smallest common multiple of x and -2*(w - (1 + -1))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -411\/1040 + -1\/208. Suppose -637*l = -5*j - 642*l + 20, 2*l - 2 = 4*j. Which is the nearest to q? (a) 1\/3 (b) -1\/7 (c) j (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*h + 18 = 0, 3*h - 18 = -5*g + g. Let v = 2 + g. Solve 5 = 5*i, k + 2*k + v = -4*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 133282 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 4. Suppose 28 = -6*b - b. Give g(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2967112*w*y**2 - 2*w*y - 15*w + 2*y**2 + 64*y - 27 wrt y?\nAnswer: -5934224*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06310402054 and -0.07?\nAnswer: 0.13310402054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*u - 71 = 0, -4*q + 80 = -3*u + u. Suppose -q = -2*h - 5. Suppose 4*w - h*w + 148 = -4*n, 3*w - 108 = 2*n. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -149309952, -149309955, -149309958, -149309961, -149309964?\n\"Answer: -3*x - 149309949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -252, 4439?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 3*r**2 - 2*r - 3. Let u be g(-3). Suppose 3*m = 2*m - 4. Let s = 7 + m. Solve 0 = -4*j - 4*t + u*t + 1, -4*j = -s*t - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -13*u. Let j(z) = z**2 - z. What is v(j(g))?\nAnswer: -13*g**2 + 13*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4971, -9906, -14847, -19794, -24747, -29706, -34671?\n\"Answer: -3*h**2 - 4926*h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3))**(13\/8)*p**11*p**(9\/5) assuming p is positive.\nAnswer: p**(317\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18541 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 11*o**2 - 44*o - 1. Calculate the remainder when 690 is divided by r(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 + 8 = 0. Let l = 6 - 2. Suppose g = -l*g + 15. Which is greater: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 4*h + 5*h. Let g(q) = q**3 + 5*q**2 - 6*q + 5. Let m be g(-6). Let z(d) = -m - 2*d + 5 + 4*d. Determine z(x(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27960480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(45) + sqrt(1125) + (1*sqrt(245))**2.\nAnswer: 18*sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 815.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273859107.\nAnswer: 3, 91286369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 253, -0.7, -3\/14 in descending order.\nAnswer: 253, -3\/14, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - p. Let k(a) = a**3 + 8*a**2 - 12*a + 4. Let u(j) = 2*i(j) - k(j). What is the smallest common multiple of 9 and u(-11)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*h**2*t**2 + 1369*h**2*t - 30*h*t**2 - h*t - 591*h - 2*t**2 - 4 wrt h?\nAnswer: 146*t**2 + 2738*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-44))\/(14 + -12)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/21542 and -25\/348?\nAnswer: 3748308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 366876027 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289 - 407. Let o = 117 + r. Is 2\/9 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1939 (b) 294 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24039643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k. Let z(j) = 5*j**2 + 5*j**2 + 5*j**2. What is z(x(p))?\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e08 (base 15) in base 16?\nAnswer: -1985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10117507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/4 + 709*h\/4 - 17787 = 0?\nAnswer: 121, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12228.\nAnswer: 2, 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1 + 3 + 5 - 11 + 1 + r**2. Determine t(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence war when three letters picked without replacement from wrwararwrrwwrrr?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 93594 divided by -31198\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.38 - -0.02. Let f = l - 0.32. Let v = f - 3.08. Which is the nearest to -1? (a) -0.3 (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*c**2 + 37*c**2 - 3 + 2*c**3 + 57*c**2 to the form h*c**3 + d*c + a*c**2 + l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/12 + k**4\/6 + k**3\/2 + 4*k**2. Let d(n) = -n**2 + n + 1. Determine 4*d(h) - v(h).\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2424+-8839810\nAnswer: -8842234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 166*c - 170*c + 16016, 4016 = v + 4*c. Calculate the greatest common divisor of v and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 19 = -3*d + 2*v, -v - 27 = -5*d. Calculate the smallest common multiple of 3 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64.2 + -169. Let j = b - -99.8. Let h = -4.3 - -4. What is the fourth biggest value in j, h, 0.1, -0.8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 + 106. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**8\/280 + s**6\/360 - 7*s**3\/3 + 6. Let a(b) be the third derivative of d(b). What is the third derivative of a(h) wrt h?\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*c - c + 200, 2*c - a - 99 = 0. Suppose 3*o - 5*h + 39 = 0, h = 3*h. Let d = o + 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: What is the smallest value in -49, -1, 18?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-8)\/2*(-42)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104768 or -104771?\nAnswer: -104771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w\/w**(-7\/6))\/w*w)\/w))**(-46))**(-1\/65) assuming w is positive.\nAnswer: w**(-23\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 32113.5233 to the nearest one hundred.\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25533, -1, 5, 3, -5.\nAnswer: -5, -2, -1, 3, 5, 25533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*z - 4, -l - l + 4*z - 2 = 0. Let r = 16 - 10. Suppose -r*b + b = 0. Which is smaller: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6177 (base 10) to base 7\nAnswer: -24003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2069155 divided by 1?\nAnswer: 2069155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1042004 (base 5) to base 15.\nAnswer: -56a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/30 and (24\/42)\/((-30)\/56).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1944 + h - 977 - 970. Suppose -4*s - 5*n - 17 = 0, 4*s - 4*n = -0 + 28. Let p(g) = -64 + 0*g - 66 + 134 - s*g. Give -4*l(a) - 3*p(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -5420947.\nAnswer: -5\/5420947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7809 - -70285\/9. Suppose 27*q - 2*q = 0. Determine o, given that 0*o + b*o**3 + 0*o**2 + q - 2\/9*o**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48321749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -62, -58?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269156255?\nAnswer: 3, 5, 523, 161779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*u - 268*u - 7 + 7.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2 - 88*i + 275. What is w(-13)?\nAnswer: 2264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -5. Suppose -t*l + 2*l = 0. Suppose l = 3*g - 5*g + 20. Calculate the highest common divisor of 110 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 17240.\nAnswer: 86200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - 1*sqrt(77)*-2 - sqrt(77)) + -5*sqrt(77)*-1)\/(5*sqrt(3584)\/sqrt(8))*6)**2.\nAnswer: 4851\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 10, -2*q + 32 = 2*t - 0*q. Let k(c) = -c**3 - 12*c**2 - 19*c - 44. Let j be k(-11). Suppose -10*f = -t*f + j. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3853 + 19264\/5. Let v = -2.5 - -3. What is the second smallest value in o, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1104179 or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 22. Let h(b) = -b**2 + 13*b - 9. Let m be h(g). Differentiate 4*s**3 - 3*s**m - 3 + s**3 wrt s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 6:16 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**2\/2 - 2*b - 2. Let v be r(-4). Solve 20 = -2*i - v*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 9, -2\/3, -49\/31.\nAnswer: -49\/31, -2\/3, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + -1 + -4 - -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1359255 = -o, -3*o + 33 = 48. What is g rounded to the nearest ten thousand?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**3\/6 - 2*m**2 + 67*m. What is l(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0) + (-7)\/(-21). Which is the closest to 2? (a) p (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214607763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1325262, 2650522, 3975782, 5301042, 6626302?\n\"Answer: 1325260*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 688374219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 3. Let t(q) be the first derivative of q**2\/2 + q - 45. Calculate 2*i(k) - 6*t(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0145*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3305671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/(8\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 7*d**2 + d + 4. Let x(b) = 3*b**3 - 7*b**2 + 2*b + 3. Let m(v) = 3*x(v) - 2*z(v). Is m(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05 and -6551640.9.\nAnswer: -6551640.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.07 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-13) + 4606\/637.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8\/5 (b) -609\/5 (c) -4\/15 (d) 2 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76) - sqrt(76)*-5)*-1*4)\/(sqrt(24)\/sqrt(6)*-5 + sqrt(4) - -3*sqrt(36)).\nAnswer: -48*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 13*x**3 - 702*x**2 - 10*x + 540. Determine g(54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 5*x - 3. Let j be c(-4). Let v = 14 - j. Suppose 3*w - 20 = -4*z, v*z - 7 = -3*w + 9. Calculate the greatest common divisor of w and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/(-2) - (-30 + 19) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 60 = -5*k, 0*k = 3*k - 3. Let x = 21 + a. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 691969 and 222774.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 145.6725 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(208) + sqrt(208)*2) - 5*(sqrt(208) + sqrt(208)*-2 + sqrt(208)))\/((sqrt(4) - sqrt(324)*1) + (sqrt(144)*1 - sqrt(144) - sqrt(144) - sqrt(144))).\nAnswer: -3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*y - 6514 + 6539 + 29*y)*(-y - 3*y + 2*y) in the form l + n*y**2 + v*y and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + p**2 + p - 12. Let u be v(0). What is the lowest common multiple of (-77 - -76)*((-2)\/(-2) - 2) and (44\/(-12))\/(4\/u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 2*v**2 + 2*v + 9. Let g(w) = -1 + 613*w + 522*w + 523*w - 1657*w + w**2. Determine -2*g(o) + k(o).\nAnswer: -o**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*x, -4*x + 25 = -0*a - 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/9)*b*b*b\/(b*b\/(b\/b**(2\/11)*b)))**49*(b**(2\/7)\/b**(-2\/9))\/(b*b**(-1\/7)*(b\/(b\/(b\/(b\/b**2)*b)))\/b) assuming b is positive.\nAnswer: b**(12129\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + a + 3, -3*a = -27476*b + 27480*b + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2072*h - 8 = 4*v - 2076*h, 0 = v - 8*v - 3*h + 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(112)*-3)**2 + sqrt(112) + (sqrt(63) + -1 + -3)**2 + -2.\nAnswer: -20*sqrt(7) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7525 and 252.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-2 + 2)) + -3 + -14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, 0, 4, 8, 12, 16?\n\"Answer: 4*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 5:17 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {u: 1, m: 1, n: 1, d: 1, q: 2, c: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 7 = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 2*f**2 - 2. Let z be h(2). Sort 1, 39, z, 0 in descending order.\nAnswer: 39, 1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40805301.\nAnswer: 3, 1789, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 + 62 - 141 - 643*x in the form v*x + p and give v.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2 + 2*j**2 + 7*j + 9 - 13*j**2 - 3. Suppose 20 = 52*g - 56*g, 3*q - 2*g + 5 = 0. Calculate k(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145876 is divided by 16208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*s - 786*s + 1701*s = -1036 + 6895 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 7*x + 23. Let p be f(-9). Solve -n = -2*n + p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*12\/((-4)\/1) - -2. Are a and 29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15 + 15 - 16*p. What is the units digit of y(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(88)*3 + sqrt(88)) + (sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88) + -3*sqrt(88))*4)))\/(1*sqrt(2)*-4 - sqrt(2) - -2*sqrt(98))*-4)**2.\nAnswer: 11264\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g + 1 - 2 + 2*g + g. Suppose 0 = -4*b + b + 9. Is x(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812182.55 rounded to the nearest 1000?\nAnswer: 812000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g - 423. Determine a(49).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2063 divided by 4.\nAnswer: 2063\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - 583\/7. Let j = -1.99 + -0.01. Let t = 0.137 - 0.637. What is the nearest to j in -4, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 1 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6018687 grams to nanograms.\nAnswer: 601868700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*w**3 + 33 - 11365198*w**2 + 11365196*w**2 - 10 + 178*w**3 in the form g + n*w + y*w**2 + h*w**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -52, -50, -48?\n\"Answer: 2*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(104)*-1)\/((sqrt(8) - (sqrt(8) - (sqrt(8) - sqrt(8)*2)))*3).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 1. Let z be c(-1). Let i = 31 + -26. Let d = i + z. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v + 9. Let y(d) be the second derivative of 0 - 65*d + 1\/3*d**3 + 2*d**2. Calculate -3*r(z) + 7*y(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/2 - 27*h**3\/2 - 109*h**2 - 240*h - 144.\nAnswer: -(h + 1)*(h + 2)*(h + 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(1548\/(-27))\/86.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82052 is divided by 1916.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1643 - 1643.03. Let x = -7.58 + 7.6. Sort x, 5, k, -1 in decreasing order.\nAnswer: 5, x, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5038903421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*c + 18, -18 = -3*w - 2*c - 1. Suppose -4*i = -4*z + 152, 0 = -z + w*i - 7 + 49. What is the greatest common divisor of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*w**5 - 26680*w**4 - 5927806*w**3 - 396265244*w**2 + 1637436720*w + 176745600 = 0. What is w?\nAnswer: -285, -136, -2\/19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-342)\/28 + 12)*-32)\/((-45)\/(-5600)). Factor -3520\/3*v + p - 470\/3*v**2 - 5*v**3.\nAnswer: -5*(v + 16)**2*(3*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 18*t - 52 = 0. Suppose 2*j - t*p = -0*p + 36, -9 = -3*p. Solve 13 = -2*i + j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1157552, -2317786, -3478006, -4638206, -5798380?\nAnswer: -6958522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 424*(-2)\/(-28) - (-6)\/(-21). Let d = 29 - b. Let c(w) = -5*w**3 + w**2 + w. Determine c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -2 + (sqrt(45)*2)\/sqrt(9).\nAnswer: -2 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/2 + 12*n + 26 = 0. Calculate n.\nAnswer: -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-156)*-13*-13)\/((-3)\/(15\/(-5)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(234))\/(sqrt(24)\/(sqrt(24)\/sqrt(2)))*5.\nAnswer: -90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*l + 2*l**3 - 88 - 41 - 71*l as c*l + p*l**3 + g + z*l**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626 = -49*q + 362*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 2490?\nAnswer: 27390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y - 4*f + 23 = 0, 4*y - 40 = 4*f. Suppose m + 2019988 = -4*o, 3*o = -0*o + y. Round m to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3231 divided by 450\nAnswer: 359\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-12) - (6 + 85\/(-15)). Let r(q) be the third derivative of f + 0*q + 8*q**2 - 7\/15*q**5 + 8\/3*q**3 + 1\/10*q**6 + 0*q**4. Factor r(k).\nAnswer: 4*(k - 2)*(k - 1)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 2*u - u + 1)*(-1 - 2*u + 4*u + 3*u) to m*u**2 + h*u + r and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 1\/10*m**6 + 3*m + 0*m**5 + 0*m**3 + 0*m**2 + 0*m**4 + 1\/14*m**7 + 0. Determine z so that s(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, 257, 0.2 in decreasing order.\nAnswer: 257, 0.2, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*4*(sqrt(5) + 5 + 5) + (sqrt(500) + 2 + 5 - (sqrt(500)*-1 - sqrt(500))*-4)))**2.\nAnswer: 312660*sqrt(5) + 699741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8025862ns to seconds.\nAnswer: 0.0000000008025862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 230*j**2 - 152*j wrt j?\nAnswer: 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n - 596 - 364 = 0. Suppose -180 = -3*f - 0*f. Calculate the greatest common factor of f and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*a**2 - 13*a**2 - 22*a**2 in the form j + c*a + z*a**2 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - 536\/(-104) - 22\/(-26). What is the nearest to m in 5, -9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 13 = -3*i, 4*i + s = 2*i - 9. Let t(z) = 4*z**2 + 5*z - 1 - 6*z**2 + 4*z**2. Calculate t(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 93 = -19*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 297123 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(78) + (sqrt(78) - ((sqrt(78) - -1*sqrt(78)) + sqrt(78)))*4)\/(-1*sqrt(384) + sqrt(384) + 2*sqrt(6)*2 + sqrt(6)))**2.\nAnswer: 2548\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -150*k**2. Let i(s) = -301827*s. What is i(l(g))?\nAnswer: 45274050*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.349078681 to two dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -7 + -40 + (-3 - (1 + 1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {m: 6, d: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 593*s + 10584 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 13 = -3*q, 0 = 10*q - 6*q - 2*c - 18. Let h(l) = l**2 + 6*l + 4. Let i be h(-6). Solve 0 = i*a, 4*a = z + z + q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + (-1*sqrt(320) + sqrt(320) - sqrt(320))))**2 - (-3*(sqrt(5) - sqrt(2000)\/sqrt(4)) + 5).\nAnswer: 53*sqrt(5) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 177986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14942247?\nAnswer: 3, 4980749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/220 + 0)*858\/156. What is the closest to 5\/12 in 0.13, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*k**4*p + 318*k**2*p + 67*k**2 - 13810386*p wrt k.\nAnswer: -56*k**3*p + 636*k*p + 134*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2649 and 3352751?\nAnswer: 10058253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 2 - 4*z)*(0*z + 4*z - 2*z).\nAnswer: -8*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 0 + 15 - 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11.961*-0.021\nAnswer: -0.251181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 840*r**2 + 87934*r + 87096.\nAnswer: 2*(r + 1)*(r + 191)*(r + 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-15) + (-143)\/(-195). Which is the second biggest value? (a) -2\/9 (b) 5 (c) q (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-6\/7)*z**7*z*z**(-1)*z*z**(-1\/4))\/(((((z**(1\/3)\/z)\/z)\/z)\/z)**(-2\/5))**(-22) assuming z is positive.\nAnswer: z**(17587\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 17*c - 21. Let r be f(18). Let p = r + 20. Calculate the highest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**3 + 2*w**2 + w - 2. What is d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 4*y + 0*y + 3*y - 4*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, z: 2, o: 3, v: 1, s: 3, h: 3}. Give prob of sequence oush.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 735678294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 17 = b + 2 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:26 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22403262 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - 0. Let g = -74 + 64. Let z be 5\/20 + g\/(-8). Which is the smallest value? (a) -3 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 22*w**2 - 23*w - 21. Is q(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11363719.8 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l - 17. Let z be g(-5). Let i = -2 + z. What is the least common multiple of i and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 3:04 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-42))\/1)\/(-14*(-51)\/(-1666))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u)**(3\/5)*(u**(-1\/3))**(-1)*(u\/u**3*u*u**2)**(-2\/37) assuming u is positive.\nAnswer: u**(-178\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 - -291. Let v = -163 + g. Let k = v - -79.8. Round k to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 8*k + 1. Let j be u(6). Let d = 10 - j. Let f be (2 + d)\/(91\/(-14)). What is the third smallest value in f, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1414 from 0.078.\nAnswer: 1414.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58428 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**7\/21 + 13*a**3\/6 - 17*a**2\/2 - 15. Let d(c) be the second derivative of v(c). Differentiate d(f) with respect to f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 32 - 20 = 0. Does 12 divide 173 + 18\/(o + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 21 = -6*s + 2*s, -16 = -3*s + u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 532449.4l in millilitres?\nAnswer: 532449400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -147 and -146 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*p + 3 = 0, m - 16*p + 7 = -14*p. Sort -86, 0, m, -3, -2 in ascending order.\nAnswer: -86, -3, -2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1723 + 24133\/14. Calculate the common denominator of 7\/22 and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*r + 1282, -4*o + 3*o - 3*r - 266 = 0. Let d be o*((-10)\/(-28) + (-12)\/(-84)). Let p = -22 - d. What are the prime factors of p?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-60))\/(-1 + 2). Suppose -3 - 9 = 4*c - 4*k, -2*k = 4*c - 6. Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*w - 32. Let h = w + -7. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41724 + 41724 + 1658*g**3 - 2*g to c + f*g**2 + n*g + k*g**3 and give k.\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) 37 (c) 20 (d) -0.0402\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = 5*o - 17, -f - 4 = 0. Let h = o - 3. Find the first derivative of -k**3 + 4*k - h - 4*k wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1656\/1085 - -42\/31. Let n = o - 2\/5. What is the smallest value in -2\/5, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + q**2 + 3*q - 1. Let x(i) = -i**3 - 59 - 2*i - i**2 + 60 + 2*i**3. Let u(c) = -3*g(c) - 5*x(c). List the prime factors of u(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -2. What is the highest common divisor of 165 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -5.9. Let i = l + 8. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.35 and -7053.\nAnswer: -7053.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*j + 2*j + 2 = 0, 3*s = 2*j - 10. Let c be s - -6*(-10)\/(-15). Find the second derivative of -13*o + o**2 - o + c*o + 6*o**2 wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/176034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2\/5, 15, -3 in decreasing order.\nAnswer: 15, 2\/5, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 1 = 4*c + 3*g, -4*g = 2*c - 32. Let w be 5\/(-40) - (-2)\/c. Solve 4*q - 2*o + 10 - 2 = w, -4*q + 20 = 5*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*f + 3. Let x be 12\/f*(-6)\/9. Suppose -6 = 4*t - x*k + 6, 0 = 4*k. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a646b6 (base 12) in base 11?\nAnswer: -318a390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3866a165 - -5?\nAnswer: 3866a16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -18*u + 26*u. Let j be -1 + -1 - (16 + -197). Suppose j - u = 2*g. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 265, 667, 1237, 1981, 2905, 4015?\n\"Answer: g**3 + 75*g**2 + 8*g - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**4 - 3*b**4 - 4*b**4)*(2*b - 2 + 2)*(0 - 3 + 4) + (-8 + 8 + 3*b**2)*(-2*b**3 + b**3 + 3*b**3).\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/4 - 2*m**3 - 5*m**2\/2 - 6*m - 5. Let l be r(7). Sort 5, l, 0.\nAnswer: 0, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 225 = -32*h + 21*h. What is the remainder when 161 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 946 - 945.3. Which is the nearest to -1\/6? (a) 0.4 (b) 2\/15 (c) v (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - 2*w**2 + 2*w**2 + (2 - 2 - w**2)*(-2*w**3 + 4*w**3 - w**3) + 9*w**5 + 8*w**5 - 10*w**5.\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5616)\/(51792\/166) - 34\/8.\nAnswer: -89\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 282\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 33*a**2 + 56*a - 63. Give o(35).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -296.662 + 297. Let h = 0.062 + i. What is the second biggest value in -1, h, 2, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 plus -91?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-8))\/((-12)\/(-60))*-2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*h**2 + 43*h**2 + 39*h**2 - 121*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-346935729)\/9 - (-1)\/3. Let x = -55228324 - y. Let o = x - -7679910. Round o to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 + 11 + -15) - (23 + -19)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 5. Let t be m(-9). Let x be (-2)\/42 - (23 + (-7999)\/399). Put -6, -4\/9, t, x in ascending order.\nAnswer: -6, x, -4\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-4)\/(-170)) + 10\/(-5). Let q = -39 - d. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -224 in -20, 20, 1.1, -1\/3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 881, 933, 1013, 1127, 1281, 1481?\nAnswer: 1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*u**2)*(u**3 + 2*u - 2*u) - 6*u**5 + u**5 + 3*u**5 + 0*u**5 - 3*u**5 + 2*u**5 + 79*u**5 + 30*u**5 - 28*u**5.\nAnswer: 76*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4029 is divided by 873.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 141, 154, 133, 78, -11, -134?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1969253131?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7658 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 2\/539827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3026512 to the power of 1\/2, to the nearest integer?\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - 6*l**3 + 5*l**3)*(3 + 1 - 3) - 6*l - 2*l**3 - 6*l**2 - 2*l**3 + 4*l.\nAnswer: -l**3 - 6*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -18.9. Let o = u - -1.3. Sort 1\/4, o, -3\/5 in descending order.\nAnswer: 1\/4, o, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2444, 11, -11, 2, 3, 5 in ascending order.\nAnswer: -11, -2, 2, 3, 5, 11, 2444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 7. Suppose 5*k + 3*w = -44, 3*k - 9*w + 12*w = -30. Calculate z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 2 = -s + 4*c, -s + 2*c = -5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 1034*y**3 - 4 - 1021*y**3 to m*y**3 + g + f*y**2 + q*y and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*w + 170*w = -120. List the prime factors of (-6)\/w - 9213\/(-15).\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1592416 and 420?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15024681 is divided by 82?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o**(-1\/2)\/o)))**(-33)\/(o*o**(2\/19)*o*o**(2\/3)) assuming o is positive.\nAnswer: o**(1565\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8691.25 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) 6\/7 (b) 0.1 (c) -1 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -13.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/161, 7, 5, 1\/8?\nAnswer: 1\/161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x\/x**4)*x*x))**(-35)*(x*x**(-15))**(5\/6) assuming x is positive.\nAnswer: x**(595\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 - 4*g**2 + g + 6*g**2 + 7 - 8*g. Let x(u) = 5*u**2 - 6*u + 7. Let t(z) = -6*j(z) + 7*x(z). Is t(3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57099340 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b + 40*b = 4. Sort b, -1\/2, -4, 0.3.\nAnswer: -4, b, -1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -1.351521\nAnswer: 1.351521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 12:33 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/(-352) - 75\/(-11). Suppose 3*u + v = -19 + f, u + v + 4 = 0. Let j = -38 + 227\/6. Which is the third biggest value? (a) j (b) 1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102)*3)\/sqrt(6)*4 - 1*(3*sqrt(425) - sqrt(17)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12311.\nAnswer: 13, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*m - 1107, 3*m = 10*p - 14*p + 1418. Which is greater: 342 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9487 or -333\/2?\nAnswer: -9487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 71913+6\nAnswer: 71919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evveiceeevecveee. Give prob of picking 1 c and 1 e.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35296 by -8824.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*u**2 + 33 - 44*u**2 - 36*u**2 - 2*u - u**3 to a + m*u**2 + l*u**3 + z*u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 - 6*z - 3*z**3 + 1 + 2*z**2 + 2*z + 3*z. Let h be j(2). Let x = h + 73. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 35648064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 5*l**2 + 9*l + 7. What is the hundreds digit of t(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 1790*j + 890*j + 894*j + 1.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3559946, -71, 0.3?\nAnswer: 3559946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.464 - -0.364. Put -4, -3, 2, b in descending order.\nAnswer: 2, b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 - 0\/8 - 24. Let o = -1 - -5. Let y = o - v. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:57 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132 + (1\/(-4))\/(8\/(-32))?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f**2 - 6*f + 6. Let t(y) = 9*y - 11 - 4*y**2 + 2*y - 2*y**2 - 11*y**2. Determine -11*k(l) - 6*t(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let x(t) = 1 - 3*t**2 + 5*t**2 - 3*t**2 + 8*t**2. Give x(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 7:02 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + -23. Is -0.2 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 2*t - 1 + t**2)*(6*t + 3*t + 0*t) to the form b*t + k + x*t**3 + g*t**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.753 - 6.752511. Round a to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2309 + 2310. Let z(j) = -6*j + 1. Give z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.1, 2, -0.4, -1.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980)\/sqrt(4))**2 - (sqrt(45)\/(-1*sqrt(9)) + sqrt(5))) + ((1*sqrt(2160))\/(sqrt(27)\/(sqrt(9)*2)))**2.\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -4.1.\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2781 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: What is the smallest common multiple of 60 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:54 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105 - -200) + -247 - -121.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*o + 7767, o - 1231 = -3*q + 1362. List the prime factors of o.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.31053 seconds to days.\nAnswer: 0.001218871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 609676 - 407195229?\nAnswer: -406585553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.4588 millennia in years?\nAnswer: 118458.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.27 + -0.77. Let l = -7570 + 7574. What is the closest to 9\/5 in l, 0.5, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 139 (c) -728 (d) 2\/11 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26562 and -22.\nAnswer: -584364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 >= 1816\/12033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9062)\/644 - 2\/(-28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*a - 3*a**2 + 13*a**4 - 3*a**2 - 64*a - 4 + 6*a**2 - 2*a**3 - 3*a**2 to the form h*a**4 + p + c*a + t*a**2 + r*a**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 + 166*u + 46. Calculate k(28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q + 2*q)*(-7 - 4 + 7)*(q + 3 - 3).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2 + 365*w - 5. What is a(73)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**8\/840 - z**7\/105 + 6*z**2 - 6*z. Solve m(c) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6604*b**2 - 10702 with respect to b.\nAnswer: -13208*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328 divided by 8.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*c = -1696, -5*c - 515 - 333 = -m. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -87151.\nAnswer: -19\/87151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**4 + 3*t**3. Let n(d) = 1328*d**5 - 4*d**4 + 4*d**3 - 3400*d. Let v(l) = 2*g(l) - n(l). What is the second derivative of v(m) wrt m?\nAnswer: -26560*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6918909455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:02 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -229183\/103 - -2225. Let z = -880\/721 - h. Let f = 134 - 668\/5. Which is the biggest value? (a) f (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o - 750 + 138 = 143*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1217485*w**2. Let i(p) = 2*p. Give j(i(q)).\nAnswer: -4869940*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.038*-4\nAnswer: -8.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/96644 and 32\/72483.\nAnswer: 289932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1114 (base 12) to base 16.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -330?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**3\/3 - 5*i**2\/2 - 3380. Suppose 4*d - 4*z - 28 = 0, 2*d + 4*z - 17 = -3*d. What is j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2397e (base 16) to base 14.\nAnswer: 3b1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -6\/11 + 14\/11*b - 10\/11*b**2 + 2\/11*b**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 2*l + 3. Let t be 3*(4 + -3 + -2). Let u be k(t). Let w = -11 - -16. Sort w, u, 0.5 in increasing order.\nAnswer: u, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -63. Let t = -9 + n. Suppose 4*p - 2*p = t. What is the least common multiple of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/35)\/((-2)\/(-130)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 8*o + 2*o - 12*o + 111 - 39, -4 = -5*o + 4*q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*l**4\/3 + 9598*l**3\/3 + 7208*l**2 + 14422*l\/3 + 2404\/3 = 0. Calculate l.\nAnswer: -1, -1\/4, 1202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*l - 4*l. Let r = 2 - l. Let j be (-200 + 0)\/(r + 0). Round j to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxxs when four letters picked without replacement from {x: 1, g: 1, s: 1, u: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -31*v**3\/3 - 18*v**2 + 88*v - 1. Let d be n(-25). Round d to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 at least -232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 29, 67, 109, 155, 205, 259?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 6486?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 10 - 8*l + 0*l**2 - 7\/3*l**3. What is the derivative of q(b) wrt b?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 231 + -28. Let p = 305 - m. Let k = -46 + p. What is the highest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-18))\/(2*2\/(-1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2216491916 - -300.3.\nAnswer: -2216491615.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 10*m**2 - 14*m + 26. Let o be g(11). Let i be (14 - 10)*6\/(-4). Sort i, o, 3 in ascending order.\nAnswer: o, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51011 is divided by 223?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -9 (c) 310.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 314387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = -3*p, -2*b + p = -0 - 7. Suppose b*m + 20 = 0, m = 2*d - 201 - 165. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-5 + 2) - (22 - 19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}