{"text":"Question: Rearrange -1 - 8*j**2 - j**2 + 9*j**2 - 3*j + 4*j**3 to the form f + d*j**3 + w*j + m*j**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of j**8\/168 + j**4\/3 - 4*j**2 - 10. Let x(s) be the second derivative of d(s). What is the second derivative of x(p) wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 4*k - 3*k + 196, 5*k + 940 = -5*v. Let w = k - -324. Calculate the remainder when w is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 53 - 53.1. Which is the closest to i?  (a) 1\/6  (b) -2\/29  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -247*j**7\/21 + 229*j**3\/3 - 46*j + 1. Find the second derivative of o(x) wrt x.\nAnswer: -9880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-11) - (-43)\/473 - 96\/33.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14.535 + -14.735. What is the nearest to u in -0.5, 8, 46?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 8, q: 3}. What is prob of sequence lq?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide 1246690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(13) - (-1 + sqrt(52) - sqrt(13)))*-2 + (2 + sqrt(637) + sqrt(13) - sqrt(52)\/(sqrt(16)\/sqrt(4))).\nAnswer: 3 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/2, 50, 3\/8, 379, -4\/7, 1\/3, -1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-278)\/(-14) + (-11)\/(-77). Let a(j) = 2*j**2 + 51*j - 112. Let f be a(-28). What is the greatest common factor of f and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**(1\/3)*m*m**(-5\/7) assuming m is positive.\nAnswer: m**(34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 122\/427 - 61\/(-7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 642027*z**3 - 321016*z**3 - 321013*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16795161*k**5 - 17693085*k?\nAnswer: 335903220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-5)\/(-260))\/(-1 - 1400\/(-1376)) and -11\/8?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/14 - (-231)\/(-49). Let k = c + 7. Suppose 5*j - 1529 = k*d, 0 = -2*j - d + 408 + 209. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 85168607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -530 + 529. Let i be (-18)\/(-3) - ((0 - j) + 3). Factor -1\/6*o**i + 1\/6 + 0*o.\nAnswer: -(o - 1)*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -250.949 and 17.7?\nAnswer: 268.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.023 - 0.523. What is the closest to 0 in i, 2, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 203 - 184. Suppose -9*p - 350 = -w*p. What is the highest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + 0 + (-33 - -48 - 35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gper when four letters picked without replacement from errgppprepxx.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 53 or -3?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -1c99?\nAnswer: -1c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10983596971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-8795432.\nAnswer: -4397716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -33 - -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.4, -5\/2, -95, 968\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 15. Let o = z + 7.11. Which is smaller: 1\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000128375 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 5*d + 2 = 3*d, -5*d + 9 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/14)\/3*(-12)\/(-9).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2*z - 15 - 3*z)*(3 - 1 - 4)*(0 - 3 + 5).\nAnswer: 4*z + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 143*x - 3 + 472*x - 5 + 8 to s*x + n and give s.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37, 63, 91, 121?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1))**(4\/9)\/(b**(-3)*b*b**(2\/7)\/b))**(6\/11) assuming b is positive.\nAnswer: b**(26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 + 19. Suppose 4*k = x*w + 186 - 36, 3*w = -3*k + 99. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m - 24*m + 1157 = 0. Let v = -872 - -2029. Calculate the highest common factor of m and v.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4622 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 258793765363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = 3*s - 25, -5*l = 5*s - 24 + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 682 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 5:50 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -5390*y**3 - y**2 + 78*y + 5. Let l(f) = 5391*f**3 + f**2 - 81*f - 7. Let h(j) = -5*l(j) - 6*q(j). Find the third derivative of h(n) wrt n.\nAnswer: 32310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/(-45))\/((-79332)\/(-39618) + -2). Let p = l - -419\/16. What is the common denominator of -41\/70 and p?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3+-0.035245969\nAnswer: -3.035245969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -62 + -9 + 1 + -25 + 54 + -13 - -6\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(2\/3)*s)\/s)**(-28\/5) assuming s is positive.\nAnswer: s**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s - 1. Let a(f) = -7*f**2 + f - 7. Let x(n) = -a(n) + v(n). Differentiate x(m) with respect to m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 3*r + 16, -2*y + 11 - 3 = -r. Suppose 4*j - b - 1228 = 3*j, -y*j + 2457 = -b. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + d + 8, 2*y + 3*d = -0*d - 10. Let v = 5.26 - 0.26. What is the second biggest value in v, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9.30723ml?\nAnswer: 0.00930723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from fpfffwpffffpfwfkpfw?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**5 + 5*v**5 - 2*v**3 - v**5 + (-v - v + 0*v)*(17*v**3 - 17*v**3 - 12*v**4).\nAnswer: 26*v**5 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -149*m + 75. Let w be h(-7). Let f = w + -1129. Let a(r) = -4*r + 5. Let x(u) = -2*u + 3. Let c = 14 + -8. Calculate c*a(s) + f*x(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 - 88*o**2 + 509*o + 6. Let r be b(6). Solve 0 = 64*g - 46*g - r for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 7, l: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 5, 2 in increasing order.\nAnswer: -3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**2\/3 + 130*q\/3 + 128\/3 = 0. What is q?\nAnswer: -64, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -9.4479 and -0.005577.\nAnswer: -9.453477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.28738 * 2\nAnswer: -0.57476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2\/4 + 159*g + 8427.\nAnswer: 3*(g + 106)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 + 3*b**2 + 4*b - 2. Let i be (29 + -28)\/((-1)\/3). Calculate the smallest common multiple of o(i) and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 2 = j, 2*o - o - 2 = -j. Suppose -3*u - 4*w + 28 = -0*w, j*u = w + 4. Suppose -h - 291 = -u*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -15*o**2 + 4*o. Let u(y) = y + 2. Let f(p) = 9*p + 12. Let x(k) = f(k) - 6*u(k). Determine x(d(l)).\nAnswer: -45*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -59, -87, -115?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1b26 - -1?\nAnswer: 1b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*p**3\/3 - 2007517*p**2\/3 + 468415*p + 803004 = 0. What is p?\nAnswer: -4\/5, 3\/2, 200751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = y + 13, 0 = -2*r - 2*y + 11 + 31. What is the third derivative of -l - l + l + r*l**2 + 11*l**2 + 253*l**5 - 2*l**2 wrt l?\nAnswer: 15180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1611200 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 96*g - 45*g**2 - 96*g - 16*g**2 to v + x*g + p*g**2 and give p.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5517 + -5517.5. Which is the third smallest value?  (a) -48\/5  (b) x  (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*1\/(-3)*51\/(-238).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -13 + 99 - (11 + -3 + (-9 - 2)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -l**3\/3 + 7*l**2 + 7*l + 2484. What is a(8)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 472782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21888988?\nAnswer: 2, 11, 19, 26183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 2  (b) -3\/8  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/27*-30*(-2)\/4. Factor 1\/3 - 10\/3*j**3 + a*j**2 - 1\/3*j**5 + 5\/3*j**4 - 5\/3*j.\nAnswer: -(j - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-39)\/(-13))\/((-198)\/(-1320)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12*-6*9\/(-216). Let l(b) = 4*b**2 - b + 11. Let a(f) = 3*f**2 + 9. Let q(m) = g*a(m) - 2*l(m). Determine q(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106922*g + 106921*g = 3, -13 = -l + 4*g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35353375 is divided by 10127?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -2*b**4\/9 - 272332*b**3\/9 - 3090922726*b**2\/3 - 148312007200*b\/9 - 593178320000\/9 = 0.\nAnswer: -68075, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31882?\nAnswer: 2, 19, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 272687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 550143614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {l: 2, s: 4, a: 2, y: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.4  (b) 1  (c) 5\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*b + 4*q - 24, 7 = -3*b + 6*b + 2*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (79866\/(-24))\/9*48\/(-18).\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 190157 and 44132?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -o**4\/6 + o**3\/6 + o**2\/2 + 247*o. Calculate w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/(-40) + 42\/280. Solve t = -939*v + 948*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4698 and 16182?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(80))**2 - sqrt(80))*5*-6.\nAnswer: -9600 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.92487 millennia in decades?\nAnswer: 1692.487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4002 (base 15) in base 16?\nAnswer: -34be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by -69.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 244 = -3*j + 4*j. Calculate the least common multiple of 6 and j.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/9 - 550*n\/9 + 12616\/3.\nAnswer: -2*(n - 57)*(n + 332)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -147e9dc (base 15) to base 8.\nAnswer: -70450556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 11*v**2 + 20*v - 51. Calculate b(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01528019 to 5 dps.\nAnswer: 0.01528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -31*q + 12*q + 20*q. Suppose r + 3*y = 8, -2*y - 7 = -5*r - 1. Let a(k) = r*k - 3*k + 0*k - 2*k**2. Calculate u(a(h)).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 4*w - 11 = 1, -2*d = -w + 8. Let y = 0.035 - -0.065. What is the third biggest value in -2\/7, d, 6, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 t, 1 u, and 1 r when four letters picked without replacement from uldrgdt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 122 and 203374.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 99 and 627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9255595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/(2 + (-2 - -2)). Let p = -0.1 - 0.4. What is the second biggest value in 3, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (-2 + 1 - (-4 + 11 + -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1108 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-25\/4)*q*q**(-6)\/q)\/(q**(-42))**(1\/5) assuming q is positive.\nAnswer: q**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 167095186.\nAnswer: 2, 67, 89, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of -q**4\/24 - 15*q**2. Give n(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -328447390 rounded to the nearest 1000000?\nAnswer: -328000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -4*d**2 + 4 - 5*d - 14 + 5*d**2. Let z be q(7). What is the second derivative of -4*s**z + 0*s**4 + s**4 + s wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34054 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/9*(-3)\/(-1). Suppose d*y - 20 = -2*y. Suppose -370 = -4*t + 5*v, y*t + 2*v - v - 477 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 300501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 781927 = 4*t, 4*t - 781967 = 10*o - 7*o. Suppose 2*l - 66488 = -t. What is l rounded to the nearest 1000?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2 + 599*j - 100832.\nAnswer: (j - 137)*(j + 736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 20 = 5*x - 2*q, -2*x - 4*q = 16. Let c be 3 + x*(-4 + 28\/8). Is 30 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -9*c**2 + c**3 - 9 + 1 + 0 - 5*c - 4*c. Let q be a(10). What is the greatest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/1)\/(3 + 30\/(-12)). Suppose i*v = -2*t + 506, -t + 4*v = -114 - 133. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0807629665 + 105.0807578665. Let b = 93.5 + 11.5. Let d = b - u. Round d to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*8\/(480\/12)*(18 + 10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 419849?\nAnswer: 17, 24697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(2\/31)\/d*d**(-5\/8)*d*(d**(-3))**(-2\/59) assuming d is positive.\nAnswer: d**(-6713\/14632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 6:43 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 7:58 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 11*k**2 + k. Let t be a(-1). Let h = -8 + t. Solve -h*d - 1 + 11 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101120 + -202121001?\nAnswer: -202222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -277.6343 - -0.1343. Let n = 278 + s. Which is the closest to -0.1?  (a) n  (b) -4  (c) -0.02  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 528281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 0.29, 3, -1\/2, -1\/27, 8 in increasing order.\nAnswer: -1\/2, -1\/27, 0.29, 3, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -3.9. Let g = -0.002 + -0.538. Let p = 0.34 + g. Which is the closest to p?  (a) z  (b) 1  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*2624597.\nAnswer: 5249194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 5 - 2 - 4 + (-1 + 2 - 2)*(-4 + 4 + 2) + 3 - 12 + 8)*(2*s**4 - s**4 + 4*s**4) to the form t*s**4 + a*s + w*s**2 + k + j*s**3 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(-2\/37)*w)*(w*w\/w**(1\/11))\/w*(w*w*w*w**7*w)\/w**(3\/4))**(-6\/19) assuming w is positive.\nAnswer: w**(-54765\/15466)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - 0. Let z(m) = -3*m**2 + m. Let l be z(u). Put -0.4, -3\/4, l in descending order.\nAnswer: -0.4, -3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.22, -1\/2, 1, 1\/20, 16\/3, -15\/2?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50 + 40. Let w = -10 - l. Let o(k) = -21*k - 170. Let h be o(-8). Sort h, 5, w in ascending order.\nAnswer: h, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j + 11. Suppose i + 2*i + 27 = 0. What is the tens digit of x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -58*n**3 + 40*n**2 + 3*n. Calculate v(2).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 441221350?\nAnswer: 441221354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*c + 2*f = 3, -4*f + 9 = 3*c. Find the second derivative of -c*a**2 + 11 + 2*a - 11 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/51?  (a) -1\/2  (b) -3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 48 - 16. Suppose -y*a + 34*a - 10 = 0. Let p(h) = h - 8. Give p(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56027449 is divided by 3501715.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -116251343 - 20?\nAnswer: -116251363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 372624 equal to 6.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -851635 or -851642?\nAnswer: -851635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/((-7)\/9049) + (-2315)\/3241. What is the highest common factor of 608 and h?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/78 + 6\/(-39). Let g be (d + 0)\/(8 - 9). Suppose g = -2*u + 3*u. Is u greater than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*2*(0 + sqrt(325)))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (16529 - -1)\/((-201)\/254600). What is b rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57.23 + 57.60366. What is j rounded to two decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11483999 divided by -1\nAnswer: -11483999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + m**2 + 2 + (1 + 2*m - 1)*(6*m - 5*m + 5*m) - 395 + 296 - 9*m**2 + m**2 - 13*m**2 to y*m + d*m**2 + z and give z.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -35, 101, 443, 985, 1721, 2645?\n\"Answer: -f**3 + 109*f**2 - 184*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1337178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.49772, 0.5, 206?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-114)\/(-171))\/((-12)\/(-22)) - 1. Which is the third smallest value?  (a) 2\/17  (b) -4  (c) -15  (d) 6  (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*(-1)\/8*4)\/((78\/(-13))\/(-114)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/4 and 43\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 2*m - 11, 4*y + 7 = 7*y + 4*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-42)\/(-54))\/((-225)\/(-675))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -28646063, -57292122, -85938181?\n\"Answer: -28646059*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -1044*z - 31517. Determine g(-30).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**3 - 2*z**3 - z**3)*(64 - 7*z - 64)*(0 + 3 - 2).\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 79319 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*x - 0*x. Let r = 8 + -5. Let l(f) = 3*f**3 + 3 - 2*f**r - 2*f**x + 2*f**3 - 5*f**2. Calculate l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 0*f - 25. Let c be (4\/f)\/((-6)\/(-15)). Find k such that -k + 0*k**3 + 6*k**c - 3*k**3 + 0*k - 2*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -441 - 7\/(-14)*8. Let i = h - -550. What is the remainder when i is divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*2*-9*(-120)\/(-5184)*-12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 3 = z, -2 = 3*z - 5*u + 8. Let a(n) = 13*n + 77. Let j(t) = t - 18. Let m(o) = -a(o) - 4*j(o). Does 21 divide m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*p - 20 = 17*p. Solve r = p*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 + z - 9 - 2*z - 2*z**4 to the form o + k*z + b*z**3 + q*z**4 + t*z**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2497 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -4*g + 1. Let s = 50 + -48. Let w = s - 1. Determine p(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h + 225 = 86*h. Sort 0, 2, h, 1 in ascending order.\nAnswer: 0, 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5378 divided by -1622.\nAnswer: -2689\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 1200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-72)*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 515131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25882.01 tonnes to micrograms.\nAnswer: 25882010000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*c + 39 + 185 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -138100000 to the nearest one million.\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -143*b**2*d**3 + 15*b**2 + 3*d**4 + 122*d**3 - 155732*d**2 + d wrt d.\nAnswer: -858*b**2 + 72*d + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 27\/4 of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 73.813\nAnswer: 7.3813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 - 7. Suppose -l*x - 8 = -68. Solve -b - 3 = -4*z, -2*b - x = -3*z + 2*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*k - 19 - 47 = 0. Let l be k\/(-5)*(-90)\/(-36). Which is greater: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 38159.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -58 + (1 - 6 - (-1106 - -1085) - (14 - 0)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.545294mg to micrograms.\nAnswer: 2545.294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2*p**3 - 17*p**2 - 11*p - 13. Give g(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -27*m**2 + 8*m**3 + 36*m**2 - 6*m**3 + 9*m**3 wrt m.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 16 = 3*l, j + 32 = 4*l. Let w = 36 + -56. Let s = j - w. Solve 3*z + 16 = -2*z + 2*o, o = -s*z - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 0*j - 15 - 3*j + 4*j. Let n be c(15). List the prime factors of 46 + (-1 + -2 - n).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 753.6792cm?\nAnswer: 7536.792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 0*l - 40 = 0. Let g(b) = -b**2 - 4*b + 7. Calculate g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (490\/(-2))\/((-2)\/434). Let j = -152911\/3 + z. Let c = j + -2215. What is the common denominator of 16\/7 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -112, -1, -3, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, -1, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 22693901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-6)*r\/(r**(-2)\/r*r))\/(r\/(r*r*r**(-24))*r*r\/((r**3\/r)\/r)) assuming r is positive.\nAnswer: r**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3373 divided by 1810.\nAnswer: 3373\/1810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21.4783966 + 7.4783953. Let b = 32.32 + -18.32. Let w = i + b. What is w rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - 0) + ((-5952)\/124)\/((-9)\/(-12)*-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -6*g + 12. Suppose 31 + 80 = 4*f - h, -89 = -3*f - g*h. What is the units digit of 28\/(-42) - f\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/(-6)*-1)\/(3\/(-9)). Let x(h) = 2400000*h**3 + h**2 + 2*h + 1. Let w be x(s). Round w to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18621 divided by -6207?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 537 to the nearest 10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(13))**2 + sqrt(13))*2 + (sqrt(117) + sqrt(117)*-1)\/sqrt(9) + sqrt(13) - sqrt(91)\/(sqrt(112)*-3 + sqrt(112) + sqrt(112))*-6.\nAnswer: 3*sqrt(13)\/2 + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**3 - l. Let a be f(-1). Let d be 8\/(-34)*1\/2. Let o = 283 - 1979\/7. What is the closest to a in 1\/8, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11303 (base 4) to base 10.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 - 4*f + 1. Suppose -7*x + 5*x = 3*i - 16, 4*x = 5*i + 32. Let m = 5 - x. Let o be d(m). Solve 0 = -2*j + 6, 5 = -o*y + 3*j + 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {j: 3, i: 3, n: 1, s: 1, u: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 divided by 44.\nAnswer: -35\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -13*(-1)\/((-4)\/(-36)). Suppose 0 = 5*t + 2*r - 99 - 129, 3*r - 232 = -5*t. Suppose -8*w + t = -28. What is the highest common factor of w and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 961128.6nm?\nAnswer: 0.0000009611286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 60.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 + 34. Let k(u) = 4*u**3 - 4*u**2. Let c(r) = -3*r**3 + 5*r**2. Let t(o) = y*c(o) + 2*k(o). What is the third derivative of t(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/52404 and -14\/7953?\nAnswer: 12629364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/2718*258\/(-172)\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23160060 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-16)\/(-4) + 1\/((-4)\/40). Let w(y) = -y**2 - 8*y + 5. Give w(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -56.877 + -0.123. Let z = -167 + 109. Let s = z - u. Which is the fourth biggest value?  (a) -4  (b) 3\/4  (c) s  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8275923\/9980 + 3317\/4. Is -1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/13, 4, -3\/34, -2?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 11:12 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 - 12*b**2 + b + 17. Let z be x(-12). Solve 5*t - 22 = 4*q, -3*q - z = -t - 2*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a - 12*f, -1238*a = -1233*a + 5*f + 105 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 288 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -4*o**2 - 3*o. Suppose 3*z + 15 = -2*z. Let r(w) = -5*w**2 - 4*w. Let i(g) = z*r(g) + 4*n(g). Let c(u) = -7*u**2. Calculate i(c(q)).\nAnswer: -49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n - 67*h + 63*h - 5, -5*h = 3*n - 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (234\/(-9) - 40\/(-1600)*1048) + (-636)\/5?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 - 4024222?\nAnswer: -4024211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/5, -2, -5, 8\/17731, 4, 0.4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 292?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -3*x**4 - 6*x**3 - 11*x**2 + 11*x - 11. Let t(d) = d**4 + 2*d**3 + 4*d**2 - 4*d + 4. Let f(p) = 4*h(p) + 11*t(p). Solve f(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32469 times 0.3224?\nAnswer: -10468.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -5460831.56 and -6.2.\nAnswer: -5460837.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c - 8. Let z be v(4). Let y be 4 + z + 1\/1. What is the remainder when (4 + -127 + 2)\/(y + -2) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 10. Let o = 0.11 - 0.21. Sort o, -1, k.\nAnswer: -1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -31*m**3 + 5*m**2 - 5*m. Let v(c) = -c + 3*c - 5*c + 0*c**2 + 3*c**2 + 2*c**3 - 18*c**3. Determine -5*v(j) + 3*x(j).\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27512123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of 4*m**3\/3 + m**2\/2 - 8*m + 286. Let u be -1*-3*2\/(-6). Determine g(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -19145.015 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3 - 2691*u**2 - 532125*u + 32888163.\nAnswer: -3*(u - 49)*(u + 473)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 1 + 2*j - 3*j + 0*j + j**2 - j. Let g be x(2). Differentiate 1 + 2 + 2*f - g with respect to f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230*i + 19*i = 4 - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1357323576 a multiple of 1814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*x + 0*x - 3*x + (2 + 2 - 2)*(6*x - 4*x + 0*x) - 15 + 16*x + 15 + x + 3 - 3 - 3*x + 0*x + 7*x.\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ohlohsloohhoqhhhooh. What is prob of sequence hhh?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 94467 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 287 and 5699.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 17\/3 + (-4)\/(-12). Let v = n - 3. Let z = 59.5 - 60. What is the closest to 0 in z, v, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + -4. Let k be 1 + 1 - (325\/(-35) - -11). Which is the third biggest value?  (a) -2\/7  (b) l  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z - 11. Let l be x(7). Suppose -11*q - 316 = 256. Sort 5, q, l, 3 in decreasing order.\nAnswer: 5, 3, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/28*256\/(-320))\/((-4)\/7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + -747ab?\nAnswer: -747b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*a = -4*h + 24*a - 24, -2*a + 12 = -2*h. Let d(b) = -37*b + 13 + b**2 + 27*b + 18*b. Calculate d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -5*r - 4. Let n be g(-5). Suppose -118 = -64*w + 74. Solve 19 = 3*v + l, w*l - 16 - n = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 10 = 2*j. Let w be 0\/j*(-1)\/1. Let r = -6\/7 + 5\/14. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -14*n - 10 + 3 - n**2 + 2*n. Let d be i(-11). Suppose 0*t = -d*t + 44. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*t - 14*t + 3*t)*(-17*t**2 - 5*t**2 - 5*t**2) to a + m*t + c*t**3 + p*t**2 and give c.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -222 - -1100112?\nAnswer: 1022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 4122 = 4122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 4*n - 1. What are the prime factors of 5*(-1 - 0)*n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9014 - -12430.1. Let q = -3790 + a. Round q to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -4*n - 7. Let z = -1768 + 1761. Let x(p) be the first derivative of -3*p**2\/2 - 4*p + 3. Let l(i) = z*x(i) + 5*d(i). What is l(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -733 * -0.5\nAnswer: 366.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -189484, -189495, -189508, -189523, -189540, -189559, -189580?\nAnswer: -189603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34028172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -87*x - 3. Let g(o) = 45*o. Let l(r) = -2*g(r) - j(r). Let b(a) = -a**2 - 8*a + 8. Calculate -3*b(y) + 8*l(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1996434383.\nAnswer: 89, 373, 60139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3128685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8190 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (6\/(-12))\/((-2)\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(330) + (sqrt(330) - 1*sqrt(330) - sqrt(330))*1 + sqrt(330))\/sqrt(6))\/(sqrt(22)\/(sqrt(180)\/sqrt(10))).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 69.81.\nAnswer: 13.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**1*q)**38*(q\/q**(-2\/5)*q)**(-49))**(-2\/7) assuming q is positive.\nAnswer: q**(416\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10668 and 42672?\nAnswer: 42672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - ((sqrt(5) + 2)*2)**2)*2.\nAnswer: -72 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (25 + 8 + 27)*(2*a**2 + 0*a**2 + 401*a**4 - 417*a**4) as i*a**3 + w*a**2 + d*a**4 + r*a + f and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -0.4, -94, 5 in descending order.\nAnswer: 5, -0.3, -0.4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35.8 + 13.7. Let l = -15.8 - s. Round l to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*a - 3*a + a)*(168 - 168 - 49*a) + a**2 + 2*a**2 - 4*a**2 in the form t + r*a**2 + b*a and give r.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 40222863589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/36225 and 73\/7146.\nAnswer: 28762650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3400098253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3163 + 4a?\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 5, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - p**2 + 3)*(0*p**2 - 4*p**2 + 3*p**2) + (-4 - 1 + 3)*(-7*p + 7*p - 7*p**4) to v*p**3 + l + u*p**4 + x*p**2 + s*p and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v - 15. Let d be b(-8). Differentiate -4*m**3 + 364*m**2 + d - 364*m**2 with respect to m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13161.5 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 6528019362 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -8*f + 192. Is 8 a factor of u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -29020, -57986, -86952?\n\"Answer: -28966*x - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/23792 and 45\/8.\nAnswer: 23792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (388\/8)\/(5\/110). Suppose -q - 276 = -c. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2264 and 712?\nAnswer: 201496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2202 (base 16) to base 13\nAnswer: -3c69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2476455 by 15.\nAnswer: 165097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 29\/6 of a millennium?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 61.82 to 0 decimal places.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -3*h. Let r be -1*(-2)\/(-1) + 118*2. Let a(f) = -230*f - r*f + 474*f. Calculate w(a(y)).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 6:12 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - w)*(-569 + 3216 - 5826 - 10012)*(0 + 2 - 3).\nAnswer: -13191*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -5*z**2 - 3*z - 66. Let c(y) = -26*y**2 - 16*y - 352. Let b(p) = -3*c(p) + 16*n(p). Let h(k) = -120*k**2 + 3 - 3. Calculate h(b(x)).\nAnswer: -480*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 39 + d6a?\nAnswer: da5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eccf when four letters picked without replacement from {e: 1, c: 2, f: 7}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p*p*p**(-1\/4)*p)\/p)\/(p**4\/p))\/(((p\/(p\/(p**(-6)\/p)))\/p)\/(p*p*p*p\/((p**5\/p*p)\/p)*p)) assuming p is positive.\nAnswer: p**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/42*826\/472\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.071, 0.6, -0.1, -1\/6, 44, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k**4 - 35955*k**3 + 1009880*k**2 - 5632980*k - 15593040 = 0 for k.\nAnswer: -7219, -2, 12, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 87 times 4\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -2*h + 2. Let t be 2\/h - (-1 + 4). Suppose j = 2*j + 1. Is t != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*l**2 - 248*l**2 - 25*l**3 - 56*l**2 - l**4 + 70*l**3 wrt l?\nAnswer: -24*l + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**3 + 2*j**3 + 0*j**3 + (-11*j + 71 - 71)*(-j + 0*j + 0*j)*(-7*j + 0 + 7 - 7).\nAnswer: -75*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = -114 + 117 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 5 = 0, 159*v + 66 = -8*z + 86*v + 71*v for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/7 and 61\/5630415?\nAnswer: 5630415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 2*w**3 + 42*w**2 + 40*w - 6. Let m be k(-20). Let p = -0.19 + -0.01. Which is the closest to p?  (a) 2\/3  (b) 0.3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.93387 + 0.06613. Is -203 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 3*n - 32, -2*k + 9 = -n + 3. Let x be n - (-12)\/4 - 3. Solve 8 = -x*w - 0*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-5*(sqrt(170)*1 + sqrt(170) - sqrt(170)))\/(sqrt(110)\/(sqrt(55)\/sqrt(5))).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w + 83 - 164 + 2*w + 80.\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -5*t**3 - 6*t**2 + 6*t - 6. Let u(k) be the second derivative of -k**5\/2 - 13*k**4\/12 + 13*k**3\/6 - 13*k**2\/2 + 15*k - 1. What is 6*u(c) - 13*x(c)?\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/387 and -29\/99?\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of -2*i**8\/21 + 9*i**5\/20 + 22*i**2. What is the third derivative of s(x) wrt x?\nAnswer: -1920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 2833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -24 >= -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f**3 - 100*f**2 - 81*f - 1220. What is c(-49)?\nAnswer: -2053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 315*w**2 - w + 62. Let i be o(-7). Suppose -18*s = -20*s - 5*d + i, 2*d - 30992 = -4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 + 3*a - 3. Suppose 1 - 13 = 3*x. Let n be u(x). What is the units digit of -6 - -7 - (-7 - n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1461 + 592 + 3856 = 100*d + 1509 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 30*w**4 - 12385*w**3 + 143755*w**2 - 563240*w + 737840 = 0?\nAnswer: 23\/6, 4, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 8:48 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 5\/2. Let o(y) be the first derivative of 0*y**3 + 2*y + f*y**4 + 1 + 0*y**2. What is the first derivative of o(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2965670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**3 - 267592*s**2 - 1605660*s - 2408544 = 0. Calculate s.\nAnswer: -3, 66904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1192*o - 748 = 1124*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, -8, -38, -102, -212, -380?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s**2 - 55*s + 39. Calculate the remainder when 99 is divided by h(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -6*z**2 + 20*z + 62. Let g be p(26). Let y = 853 - g. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1247 - -2b04?\nAnswer: 3d4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 AM and 5:19 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.476 - -0.024. Let l = 53.38 - 53. Let r = l + 1.92. What is the second biggest value in -0.2, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7329 is divided by 563.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -6*d + 390. Let s = 83 + -83. Does 43 divide n(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*p = -11, -p - 8 = 35*q - 37*q. Let a be 10\/8*-2*2. Let w = 7 + a. Solve t + q = -w*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/44 and 85\/792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.33 - 0.21. Let v = 3 - 2.98. Let h = u - v. What is the third biggest value in h, 1, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4068792 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**4 - 7*s + 7*s)*(-3 + 6 - 4)*(2 - 3 - 1)*(-2*s + s + 0*s).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47231*j**2 + 47231*j**2 + 1118*j**3.\nAnswer: 1118*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 3*d**2 - 8*d**2 + 6*d - 2*d**2 + 7. Let q(m) = 13*m**2 - 11*m - 13. Let r(s) = 6*q(s) + 11*y(s). Differentiate r(b) with respect to b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 2*p**3 + 102*p**2 - 23616*p - 1519624 = 0.\nAnswer: -82, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*h - 177 = 72*h. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.18 and -139805.\nAnswer: -25164.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13844538 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1*(-28)\/6)\/(8\/12). Suppose -10 = 2*x + 6. Let n = r - x. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61 = n + 7*n + 3 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -231 in decreasing order.\nAnswer: 1, -1, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41481, 41509, 41537, 41565, 41593, 41621?\nAnswer: 41649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -7*v + 468544. Let z(t) = -t. Determine z(s(x)).\nAnswer: 7*x - 468544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - 9*o**2 + o + 3. Let s be j(9). List the prime factors of (40\/s)\/(1\/3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2122119029 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 4*m - 8. Suppose 0 = -2*s - 4*z + 2*z - 12, 0 = -m*s - 3*z - 8. What is the units digit of -1 - 2\/(-2) - s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 11*q**2 + 14. Let u be o(11). Let x = u - 18. Is -11\/3 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22 - -27. Solve -1 = -2*g - 3, -x*o - 4*g - 19 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -2*n + 732902, -2*n - 977226 = -t + 5*t. Let r = t + 987223\/4. Let m = r - 2516. What is the common denominator of -21\/8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 1 + 0)*(0 + 2 - 1)*(193*m**3 + 13*m**4 - 193*m**3) to the form d*m**3 + r*m**2 + q*m + c*m**4 + z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -7*s**2 - s**3 - s**2 - 4*s + 2*s**2 + 4. Let d be n(-5). Let r = 0 - d. What is the highest common factor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -915, -2865, -5839, -9831, -14835?\nAnswer: -20845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (305 + 624 + 458)*((-2*m - m + 5*m)*(m - 4 + 4) + 0 + 0 - 3*m**2) to the form i*m + x*m**2 + o and give x.\nAnswer: -1387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + -10. Calculate the remainder when j is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -148 and 53?\nAnswer: -7844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47, 48, 49, 50, 51?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 91494719 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -6*c - 17. Let v(r) = 2*r + 6. Let z(d) be the second derivative of d**4\/12 + 11*d**3\/6 + 3*d**2 + 13*d. Let y be z(-11). Give y*x(j) + 17*v(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 36*n. Suppose 34 = 8*f - 6. What is the hundreds digit of s(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 895934 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-32925)\/(-45) + (-1)\/(-3). Suppose -4*o + 120 = -h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(272) - sqrt(272)*-1)*4 + sqrt(272) - (-2 + -2 + sqrt(272) + 1))**2.\nAnswer: 128*sqrt(17) + 17412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = -4*y + 5*p + 24, 4*y + 16 = -4*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 2*h - 54 = 0, 384*h = 387*h - 33 + 102 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + 5*d**2 + 3*d - 52. Let b(v) = 3*v**2 + 2*v - 26. Let o(j) = -5*b(j) + 3*q(j). What is the derivative of o(t) wrt t?\nAnswer: -9*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -0.071?\nAnswer: -0.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 - 5*a + 6. Let j be o(4). Let k(i) = -5*i - 8 - i**j + 0*i**2 + 14*i. Is k(7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1111010101 (base 2) to base 10.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 430328443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -104, -60, 28, 178, 408, 736, 1180?\nAnswer: 1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 24\/32 + (-3)\/((-60)\/4805). Which is greater: j or 239?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -252646*t + 252646*t - 4*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -118, -372, -1060, -2398, -4602, -7888, -12472, -18570?\nAnswer: -26398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + 2. Suppose y - 10*d - 48 = -11*d, -4 = -d. Calculate the highest common divisor of c and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 1.27.\nAnswer: 0.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 114625691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8.04 - -8. Let w = -358 + 355. What is the closest to q in w, 2\/21, 3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13104106 is divided by 111.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**1)**(2\/93))**(3\/10)*(r**(-2\/9)\/r**(3\/5))\/((r*r**(-4)\/r*r)\/(r\/r**(-1\/6))) assuming r is positive.\nAnswer: r**(9349\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -i, -i = 5*w + 9 + 7. Let l(m) be the second derivative of m**5\/20 + m**4\/6 - 5*m**3\/6 + m**2 - 2*m. Give l(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9*((-8)\/(-10))\/((-300)\/(-25))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of b**5\/20 - 7*b**4\/6 - 9*b**3\/2 + 31*b**2\/2 + 5*b + 3. What is the hundreds digit of q(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14511 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 1 = 4*d. Let r be -1 + 1\/(-5)*d. Suppose 0*p + j = 2*p - 1, -4*p - 16 = 4*j. Is p less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1\/5, 2\/81 in descending order.\nAnswer: 2\/81, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/40 and 121\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02100577 plus 13621730?\nAnswer: 13621729.97899423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 2*t**2 - 3*t + 5. Let r be h(4). Solve -r = -0*g - g + 5*q, 3*q - 3 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2874622802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*h - 8 = 0, -i = -2*h + 1 - 5. Suppose g + g - 12 = i. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 390063903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -4*x + 0*x**2 + 2*x + 5 - x**2 - 2*x. Let h be d(-5). Do h and -1\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1723619, 1723590, 1723561?\n\"Answer: -29*s + 1723648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -16.2. Which is the closest to f?  (a) -0.4  (b) -2  (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - 6*v + 5. What is p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 108945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (n + 0*n + n)*(4 - 2 + 8) - 3*n - 6*n + 2*n + (-6 + 3 + 1)*(n + n - n) + 2*n - n + 0*n - 5 - 34 + 38 + 67*n to the form h + q*n and give q.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -2, 46, -0.1, 6753?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 6, i: 3, y: 3, x: 1}. Give prob of picking 1 i, 1 x, and 1 y.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -11*r**3 - r**2 + 10*r + 4. Let z(p) = 7*p**3 + p**2 - 7*p - 3. Let w(y) = 5*u(y) + 8*z(y). Give w(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1782 and 17006.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m + 7916220 + 566892 = 0. Let a = m + 14606926. Round a to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9.8 + -9.5. Let g = -0.5006 - -0.5006. Which is the nearest to g?  (a) -0.2  (b) 8  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -4, 3\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1037\/8 - 130. Let c be (0 - 1) + (-169)\/(-1). Let o be 2\/(-7) - (-111)\/c. Sort 2\/7, o, h in ascending order.\nAnswer: h, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 PM and 3:35 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1716717503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 13*w**2 + 15*w + 18. What is the remainder when 126 is divided by n(14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 2*x = -0*l - 20, 3*l = -5*x - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2921 - 2921.00001413. What is o rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 746056, 2984171, 6714362, 11936629, 18650972, 26857391, 36555886?\nAnswer: 47746457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27.1 + 31. Let i = -3.5 + d. Put -2, i, 0.3 in decreasing order.\nAnswer: i, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 88094360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -5*v + 3*h, -2*v + 3 + 12 = h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -6*(4 + 92\/(-8)). Calculate the greatest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -4. Calculate the remainder when 3 - q*17 - -1 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 828 and 4500?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((r**2*r)\/r)\/r)\/r)\/r)\/r)**29 assuming r is positive.\nAnswer: r**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 731 - 388. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = x - 4. Let l be (1 + (-10)\/4)*x\/(-6). Solve -l*k - 12 = 5*o, 2*o = k - 0*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 8 + 8 = 0. Suppose 2*d - 9*d = t. Is (2 + 1)\/(d + -1) - -91 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 738 + -735. Let n(i) = -4*i + 4*i - 4 + 12*i**2. Let f be n(u). Round f to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + -bb?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 345 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15.2 + 15.87. Let q = k + -0.6. Let t = 0.2159 - -0.0841. Which is the third biggest value?  (a) 4\/9  (b) 3\/4  (c) q  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 141*k**2 - 45*k - 295. Let x(u) = u**3 + 14*u**2 + 39*u - 18. Let f be x(-10). Is r(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the third derivative of -f**8\/9240 + f**6\/660 + f**5\/330 + 5*f**3\/2 + 10*f**2. Let q(r) be the first derivative of a(r). Factor q(t).\nAnswer: -2*t*(t - 2)*(t + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 212097 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1409 plus 16?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 22*v**2 - 89*v + 8. Let c = -29184 + 29188. Determine o(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -9, -243816, -5?\nAnswer: -243816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -506*c**5 - 2*c**4*j**2 - c**2 - 28*c*j + 2*c + 10*j**2 wrt c?\nAnswer: -10120*c**3 - 24*c**2*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/24)\/(-5*19\/76*43\/5)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -369*t**5 - t**4 - 387*t wrt t?\nAnswer: -7380*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49169, -51514, -53859, -56204?\nAnswer: -58549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 56\/(-6) + (-6)\/9. Let r(i) = -i**3 - 5*i**2 + 11*i + 8. Let h be r(-7). Let c = o + h. What is the remainder when 54 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1656 and 12213.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 443658*v**2 + 114*v. Let u(l) = 2*l**2. What is n(u(d))?\nAnswer: 1774632*d**4 + 228*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1139, 1871, 2501, 3035, 3479?\n\"Answer: v**3 - 57*v**2 + 896*v + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -3\/4  (b) 0  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + -24. Let b = 51 + k. Let o = b + -16.7. What is o rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -2*i**3\/9 - 11294*i**2\/9 - 4779964*i\/3 + 3191664 = 0.\nAnswer: -3717, -1932, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 98.572 + 0.028. Let k = d - 99. Let o(x) = 2*x + 1. Let s be o(6). What is the third biggest value in -2, k, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -39*q + 17. Calculate the remainder when h(-8) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/9)\/(1330\/(-342))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*b**3 + 5*b**3 - 4*b**3 + (0 + 0 + 2)*(-47*b**2 - 90*b**2 + 29*b - b**3 - 1 - 31*b).\nAnswer: -4*b**3 - 274*b**2 - 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 305978*z**3 - 611961*z**3 + 305985*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cvcvvccvvcvcv. Give prob of picking 1 v and 1 c.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3060 (base 8) to base 4.\nAnswer: -120300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of r**4\/4 - 11*r**3\/2 + 2*r**2 + 774*r. Give y(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2800755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2 times -0.9?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dbpd when four letters picked without replacement from bpdbpxxpdp?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 11 = 4*j. Let n(b) = -b**3 - 11*b**2 + 8. Calculate the remainder when 31 is divided by n(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*x = -153 - 547. Let q be (-11)\/x - (-5)\/20. Which is the closest to -0.1?  (a) -1\/3  (b) -4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*i - 46*i + 23*i + 14*i + 29*i**2.\nAnswer: 29*i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -267449, -534890, -802331, -1069772?\nAnswer: -1337213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 280214.184 rounded to the nearest 100?\nAnswer: 280200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*z + 85*z = 66. Let f = z + 50. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-6)*(-3 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 - 14*s**2 - 4*s + 7. Let d(u) = -u**3 - 13*u**2 - 5*u + 7. Let l(m) = 4*c(m) - 5*d(m). What is l(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -0.274.\nAnswer: -0.0822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20465758 to the nearest integer?\nAnswer: 4524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -554\/5 - -1637\/15. Which is the fourth smallest value?  (a) 1\/3  (b) -8\/15  (c) 4  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-43)\/9 + 2\/(-9). Let c = g + 9. Suppose c*w = 6*w - 64. Calculate the greatest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -6*r**3 - 4*r**2 + 5*r - 7. Let u(g) = 8*g**3 + 24 + 23 - 3*g**3 - 4*g + 3*g**2 - 41. Determine 3*q(l) + 4*u(l).\nAnswer: 2*l**3 - l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - -12. Suppose -4*m + j = m. Suppose 0 = -m*u + 8*u - 35. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f**2 - 5*f**2 + 3*f**2)*(-4 + 4 - 2)*(4 - 4 + 2)*(-20012 - 5971 + 5085).\nAnswer: 167184*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d**4 - 2522694*d**3*u + 2*d**2 - 1734254*u + 3 with respect to d.\nAnswer: 8*d**3 - 7568082*d**2*u + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68311585?\nAnswer: 5, 71, 337, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0 - 78*f**3 - 8*f**2 + 63*f**3 + 0 wrt f?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1122 divided by 561?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sspp when four letters picked without replacement from {c: 2, s: 3, h: 6, p: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.99 + 0.01. Let h = -2 - -2.04. Let s = 1.04 - h. What is the closest to 0 in y, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5415 in -4, -3, 3, -2\/47, -8?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -8 - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/(-112)*(-14)\/(-35). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - -6)\/((-1)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -4*y. Let d(o) = 1098*o**2. What is d(b(v))?\nAnswer: 17568*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 - 4*w**2 + 2*w - 2. Let m be o(4). What is the third derivative of m*d**3 + 0 + 3*d**2 + 0 - 3*d**3 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2*d + 131. Let u(w) = 6*w - 391. Calculate 17*j(q) + 6*u(q).\nAnswer: 2*q - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 5  (b) -2\/9  (c) -1\/11  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - 1000110111011110?\nAnswer: -1000110111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*c - 4*l + 35899 - 35964, 0*c + 5*c - 2*l + 143 = 0 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4050, -5, 5, -4, 3 in decreasing order.\nAnswer: 5, 3, -4, -5, -4050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -31*p + 119. Give g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 times -5.82?\nAnswer: -0.0582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*i**2 - 311*i**4 + 6*i + 2*i**3 + 12*i - 5*i + 310*i**4 - i**2 as k + l*i**4 + w*i**2 + p*i + s*i**3 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 418793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**5\/3 + 281*w**4\/3 - 6625*w**3 + 18203*w**2\/3 + 97160*w\/3 + 19600 = 0. What is w?\nAnswer: -1, 3, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 84 + 7*h**4 - 37*h**4 - 93 wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -13*n + 157. Let b(k) = -4*k - 2. Calculate -6*b(v) + 2*y(v).\nAnswer: -2*v + 326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 72290576 or 72290571?\nAnswer: 72290571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4349.296ml to litres.\nAnswer: 4.349296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (4 - 8)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 704893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*(-15)\/12 + ((-700)\/(-48))\/(-25). Let q = -4 + 8. What is the nearest to s in q, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 44515\/372 + -479\/4. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 431413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 + 3*q. Give t(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q + 18. Let y be z(-7). Suppose -y*f + 7*f = -40. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 554*f - 7248. Let y(h) = -151*h + 1812. Calculate -6*l(k) - 22*y(k).\nAnswer: -2*k + 3624","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 20*y - 92. Let z be g(-12). Suppose -4*h + 5*n + 319 = 6*n, -12 = -z*n. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of -x**3\/3 + 7*x**2 - 31*x + 13. Let t be d(3). Suppose -t*v - 3694 = -4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-36) - (2 + -2). Which is the biggest value?  (a) -10  (b) h  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(784) - sqrt(784))\/(sqrt(128)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 783 - 532. Let p = -252 + z. Suppose -64 = -2*i + 12. Is p <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/60*(-3)\/17)\/(9\/(-18)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*c**5 + 220*c**4 - 860*c**3 + 270*c**2 + 875*c - 490 = 0.\nAnswer: -1, 2\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-24)\/10*(-40)\/16. Let x be -1*(t + -1)*-1. Suppose -2*c + x*r + 15 = 3*c, 0 = -2*c + 5*r + 12. Solve 2*u = -c - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - -1243442410?\nAnswer: 1243442405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 39079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6602002 divided by 300091?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 294496799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 899789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 30015668 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -177247306 to the nearest one hundred thousand.\nAnswer: -177200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 41.0523um?\nAnswer: 0.0000000410523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5 + -1*(13 + -12). Solve 2*q = d*l - 2, -q + 0*q + 5*l - 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19989*s + 29*s**2 - 10*s**2 - 19992*s in the form p*s + k*s**2 + a and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 183769803329 + -981?\nAnswer: 183769802348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1433941*d**5 - 2*d**4 + d**2 - 202453*d + 2?\nAnswer: 86036460*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -50542, -201720, -453562, -806068, -1259238, -1813072?\n\"Answer: -50332*o**2 - 182*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -16, -154, -530, -1264, -2476?\n\"Answer: -20*n**3 + n**2 - n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*f - 4*l, -2*f - 6 = l - 3. Let x be (f - 25*-12) + -2. Suppose -4*q + x = q. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -83 - -1010. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 9:51 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of -x**5\/60 - 55*x**2\/2 - 9*x. Let j(g) be the first derivative of k(g). Let o(q) = 33*q**2. Determine j(o(n)).\nAnswer: -1089*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56507, 2, 0.\nAnswer: -56507, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dydyddfydyf. Give prob of sequence yf.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/12)\/(9\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13.4 - -15.4. Put -1, 4, -0.02, p in ascending order.\nAnswer: -1, -0.02, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/8 - (-386)\/8. Suppose 0 = 5*j + 113 - 173. What is the highest common factor of b and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/33 - 720\/(-1782)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 5*l - 1034 + 991 = 0, p = l + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 140304 divided by 4?\nAnswer: 35076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -23696.3643 to the nearest 10.\nAnswer: -23700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 41\/20 - 4\/5. Let t(o) be the first derivative of -q*o**4 + 0*o + 5 + 1\/2*o**2 + 0*o**3. What is the second derivative of t(s) wrt s?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -29 and -1.155.\nAnswer: 33.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -170*t - 1829. What is the hundreds digit of l(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7 + (-1)\/(3\/(-3)). Suppose -k + 2 = -5*z, -4*k - z - 3*z = -w. What is the second derivative of 0*s + k*s - 3*s + 2*s**3 wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttksust. Give prob of sequence ku.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 13*t**2 - 12*t - 18. Let n be 2 + (-936)\/66 + (-6)\/(-33). What is c(n)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 240994 - 82420013\/342. Calculate the common denominator of x and 7\/76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000061288 to 7 decimal places.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(12\/(-27)*(-9)\/2)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -74.973 and -0.043.\nAnswer: 3.223839","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -3*i + 40. Let b be k(0). Suppose -12*h - b = -17*h. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 145 divided by 2827.\nAnswer: 145\/2827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4311002 (base 6) to base 9\nAnswer: 352062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 t when three letters picked without replacement from ataataaaata?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.6 in 0.39, -1.5, -6?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 7*x**2 + 8*x - 4. Let r be l(8). Let q(v) = 4*v**2 - 4. Let a be q(r). Calculate the highest common divisor of 40 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3717 + 59417\/16. What is the common denominator of a and -55\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13571 divided by 41\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*n - 29*n = 90. Which is the second smallest value?  (a) 9  (b) n  (c) 0.07  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20475945 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 45676 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 divided by -463737.\nAnswer: -38\/463737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 110000111100011101010011111?\nAnswer: 110000111100011101010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -2070 bigger than -206858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/5 - -3\/5. Let h = 11 - 65\/6. Let t = 0.1 + 0.4. Which is the nearest to 2?  (a) t  (b) h  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + (6 - -22) + -25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 3 + -1)*10\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z**2 + 2*z**3 + 2*z**3 - 3*z**2 + (-17*z + 8*z - 3*z)*(10*z**2 + 4*z - 4*z).\nAnswer: -116*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -4*m + 17. Suppose t - 4*v = -3 - m, 4*v - 8 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 9 + 1 = 0, p - 4 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -0.2, 2, -1\/91, -0.5?\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0) + (8 - (5 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -25.8 minus -0.02?\nAnswer: -25.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 39133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1\/k)**30 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*10\/(80\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 289 + 1404. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a**3 + 422*a**2 + 542*a + 79915. What is f(-106)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -436*a - 10. Let x be c(-11). Suppose 5*k = 3*k + 5*t - 3229, x = -3*k - 4*t. Let u = 1142 + k. Round u to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2252581?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of 0*l**6 + 2*l**2 + 4*l**5 + l**6 - 4*l**5 - 6. Find the second derivative of c(i) wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 737 a factor of 8108474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 107 + -106.874. What is l rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - 6 - (14 - 25 - -25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 47, 170, 375, 662, 1031, 1482?\n\"Answer: 41*k**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2212 + -20022002?\nAnswer: -20101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 2:24 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 204 + -204.1. Which is smaller: j or 9\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.0034 + 0.0034603. Round v to six decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 457140697 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/8572 and -37\/5?\nAnswer: 42860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33297*f**2 + 32540*f**2 - 6*f + 4*f + 5*f to g + t*f**2 + l*f and give t.\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 970770 or 970771?\nAnswer: 970771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 4, a: 5, w: 4, j: 1, e: 1}. Give prob of sequence aje.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q + 2. Let g(u) = -22*u + 8. Let f(p) = -g(p) + 4*s(p). Let b(a) = -5*a. What is f(b(r))?\nAnswer: -90*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (4 + 690\/(-92))\/(1 + 3\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -165.4 - -166.4. What is the closest to 1 in 3, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 16*f**2 - f + 17. Let p(l) = l**3 - 4*l**2 - 8*l - 8. Let d be p(6). Let g be m(d). Sort g, 0, 4 in increasing order.\nAnswer: 0, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 389 = -3*i, -150 = -4*n + 4*i + 658. Calculate the remainder when n is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3930.14188 and -72?\nAnswer: 4002.14188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35334254 to the nearest integer?\nAnswer: 5944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand v + 0*v + v + (-1 - 1 + 4)*(-1 + 2*v + 1) + 0*v - 3*v + 5*v - 3*v - v + 4*v - v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2511371?\nAnswer: 29, 86599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 2. Let n(m) = m**3 + 5*m**2 - 7*m - m**2 - m + 2*m**b - 6. Is 10 a factor of n(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2*(-3 - -4) - 0. Let k(r) = -r**3 + 7*r**2 - 6*r + 5. Let p be k(6). Suppose l - 3*j - 36 = -0*l, b*l = p*j + 67. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -7 - (31 + -35).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + 8*p**2 + 3*p + 10. Let g be k(8). Let d = g - 51. Let j = d - -25. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12903 in 0.3, 48, 11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3. Let g(q) = -24*q**3. What is g(r) + 10*o(r)?\nAnswer: -34*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 624 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {d: 6, l: 4, r: 6, j: 1, o: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gwwm when four letters picked without replacement from ipwlgilgmlwi.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2*s - 15 = 0, -4*m - 4*s = -14 - 10. Suppose m*c - 10 = 5. Let a(y) = 15*y**2 - 5*y + 5. Let n(t) = 7*t**2 - 2*t + 2. What is c*n(o) - 2*a(o)?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3155939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 46842.09 centuries?\nAnswer: 4684209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 91 + -90. Suppose -5*y + 9 = -w. Solve y*a + 10 = 0, -4*v - 16 = 4*a - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2156 + 5*r**2 - 2156 - r**3 to the form s + z*r**3 + l*r**2 + m*r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 635 + -632. Suppose 0 = 2*l + 1 - 7. Suppose n + y + 3 = 1, -5*n = 3*y. Solve 0 = -v*c - n*w, -4*c - 16 = -l*w + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 513 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.003 and 0.13626541.\nAnswer: 0.00040879623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -15 + (-18 + -4 - -13)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**4 + 7*l**3 + 2*l**2 - 4. Let c = 64 + -68. Let a(q) = 2*q**4 + 8*q**3 + q**2 - 5. Let w(f) = c*a(f) + 5*s(f). Factor w(k).\nAnswer: -3*k**2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -17a4 + 1734?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 0*g = -60. Let k be (-2)\/3 - 35\/(-3). Let p = g - k. Solve 3*f = 4*y - 25, -2*f = 2*f - p*y + 28 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 5*l + 16 = 0, 0 = 5*y - 5*l - 17 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 244177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, -2, -1, 1\/35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 7 - 12)*(-7 + 7 - 8*w).\nAnswer: 72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12\/6 + (136 - (-5 - -2)) is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 159201?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13529975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/15, 0.02, 1, 13\/2 in descending order.\nAnswer: 13\/2, 1, 2\/15, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 455 - 995. Find the common denominator of (-4)\/6 - 33\/d*14 and 25\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 3 + 2*f + (-1 - 1 + 3)*((-3 + 3 - 6*f)*(-2 + 3 - 4) + (-2*f + f + 0*f)*(3 - 1 - 3)) to v + r*f and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 4*(1 + 6*sqrt(4400)*-2 - (0 + sqrt(4400)*1 + 0)) + 5)**2.\nAnswer: -20800*sqrt(11) + 11897700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1245668391 to 4 dps.\nAnswer: -0.1246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**2 + 7334020*j - 7334025.\nAnswer: 5*(j - 1)*(j + 1466805)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -45131 + -23403?\nAnswer: -112534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t - 5*t + 3*t + (-3 + 1 + 3)*(-4*t + 4*t - 2*t) + (-3 + 2 + 2)*(-t - 6*t - t) to the form k + c*t and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18683*p**5 + 36729*p**2.\nAnswer: -1120980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 4 + 4, -3*m - 4 = 2*t. Suppose -v = g - 6, 0 = -t*v + 5*g + 9 + 15. Is 26 a factor of 76\/3 - v\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2414 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -2\/7  (b) 4  (c) -164.1638  (d) 3  (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -1.1. Let w = -0.3 + x. Suppose b + i + 4 = 0, 5*i + 8 = -4*b - 13. What is the third biggest value in 2\/19, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of 1793*y**5\/60 - y**4\/24 + 1343*y**3 - 1024*y**2 - y. What is the derivative of q(h) wrt h?\nAnswer: 3586*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*z**3 + 167*z + 11 - 167*z to the form g + d*z + p*z**3 + l*z**2 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 4  (c) 0.4  (d) -46  (e) -7  (f) -1\/72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, -2, 0.12, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -487, -0.3, -6, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -418 + 418. Solve 5*u = -2*k - 16 - 2, u + 3*k + 1 = h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwkwkwtwkkkkhwtkekr. Give prob of sequence ektk.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 81 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23 + -8. Let l(k) = 2*k - 4. Suppose -5*a + 27 = -3. Calculate the remainder when q is divided by l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2343 + -3974?\nAnswer: -5cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 303 + 132. Let u = -101 + b. Suppose 4*t + u = 148. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {x: 1, d: 2, g: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of 7*k**4\/2 - 9*k**2 - 9. What is the second derivative of q(u) wrt u?\nAnswer: 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**11*(s**(-34)*s*s)\/s*s assuming s is positive.\nAnswer: s**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 10, v: 10}. Give prob of picking 1 x and 3 v.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 6, n: 2, q: 10}. What is prob of picking 2 q and 1 n?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in -78, 0, 0.06, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1  (b) -1  (c) -34888  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in -1799, -3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 6, 3, -4593 in increasing order.\nAnswer: -4593, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -161471*-2\nAnswer: 322942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 11*c**2 - 2*c + 12. Let x be l(11). Is (124\/(-6))\/(x\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7307 times 46.5\nAnswer: 339775.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 35, 34, 33, 32, 31, 30?\n\"Answer: -s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2442 - -20415?\nAnswer: 13533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 144 + -144. Solve j + m*j - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2 - -103) + 2 + 1. Let u = s + -53. Suppose -15 = -3*k, -4*n + u = -3*n + 5*k. What is the highest common divisor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + 3572?\nAnswer: 3571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - 449b7?\nAnswer: -449b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)*-3 - sqrt(160)\/sqrt(2))**2.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 306058 = -5*h, 0 = -9*h + 10*h - 2*w - 61209. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of 0 - 2*m**2 + 1\/3*m**4 - 4\/3*m**3 + 1\/15*m**5 + 1\/120*m**6 + 0*m. Is f(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 81*l. Let a(i) be the first derivative of 5*i**2\/2 - 61. Give 33*a(m) - 2*r(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 243400.2096 to the nearest ten.\nAnswer: 243400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 102\/(-357) - 35100\/(-7). Let v = l - 1103039\/220. Calculate the common denominator of v and -65\/8.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 2 = 8 - 11, 0 = 2*f + 2*u + 36 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -683, -2717, -6101, -10835, -16919?\nAnswer: -24353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/((x\/(x**(-3)*x))\/x)*x))\/x**4 assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(288)*-1)\/(2*sqrt(99)\/sqrt(99)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 + 2*m. Let v be r(-3). Let x = -1 + 3. Let n = -2 + x. Solve v*l - l + 2 = n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 256 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.05, -29, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 1 + (sqrt(1872) - (1 + sqrt(1872) + sqrt(1872))))**2 - (3 + -5*-2*sqrt(1053) + sqrt(1053))**2.\nAnswer: -125534 - 690*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -245077*o**3 - 14*o + 5728 wrt o?\nAnswer: -1470462*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (21\/63)\/(1 - (-14)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 951, 1937, 2919, 3897, 4871, 5841, 6807?\nAnswer: 7769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -1\/2  (c) -6  (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - 39b268?\nAnswer: -39b269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {l: 4, c: 1, e: 5, g: 3, r: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76 - c**2 + 571*c - 676*c + 105*c + 5*c**2.\nAnswer: 4*c**2 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.4 + 3.6. Let t be 8\/((4\/15)\/(70\/25)). Let m be 26\/t + 15\/(-90). Which is the second smallest value?  (a) u  (b) -4  (c) -0.2  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89670 divided by 61.\nAnswer: -1470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 323515 (base 7) to base 11.\nAnswer: 39502","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) -447  (c) 176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -1  (b) -1\/11  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 86 a factor of 58738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.016 + -0.016. What is the second smallest value in 6, 1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 387.04858 + -0.53858. Let j = -383 + k. What is j rounded to 1 decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 3*p + 12. Let y be o(0). Let b be (4\/y*5)\/((-1)\/(-6)). Calculate the highest common factor of b and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -2*t**3 - t**2 - 3*t - 4. What is b(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 5*q - 36. Let j be 5\/q*(-72)\/(-160). Which is the third smallest value?  (a) 7  (b) j  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 16. Suppose -5*m = w - 29, -2*m - 22 = -5*w + 3*w. Let d = w - 12. Are u and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away -0.035368?\nAnswer: -2.964632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -147225*d + 69342*d + 70887*d as a*d + w and give a.\nAnswer: -6996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6 + 7)*(-3)\/(-36)*4. Let j = 3 + -7. Which is the smallest value?  (a) t  (b) j  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 293 + 37 - (-1 + 1) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10*g*k*v - 2*g*l**3 - 28584*g*l*v + 10754*k*l**3 + 56*k*l*v wrt g?\nAnswer: 10*k*v - 2*l**3 - 28584*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 - 42*w**2 + 344*w + 5. Calculate the smallest common multiple of v(7) and 1316.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 0 + 2 = 0. Let a = -62 - -130. Let m = a - 63. Solve 12 - o = m*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38 and 617196?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6834 (base 10) in base 4?\nAnswer: -1222302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/3 + (-3 - -5). Suppose 0 = x*s - 1580 - 180. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 4*o + 22. What is the remainder when 18 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -361805 times 34?\nAnswer: -12301370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.35 + 0.25. What is the closest to b in 15, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2775 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 - 40*i - 165. Calculate j(-35).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -44*z. Let m be i(1). Let s be 3\/4 + m\/48. Which is the third smallest value?  (a) -0.3  (b) s  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 15*h + 11 - 14 - h**2 - 16. Give u(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156*j - 99*j - 5070 = -480 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 172 and 251904148.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 108.1639 rounded to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - 2 - 55*j**2 + 54*j**2 + 4)*(-1 + 1 - j)*(-2*j - 2*j**2 + 2*j) - j**5 - 67*j**4 + 67*j**4.\nAnswer: -3*j**5 + 4*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1318417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -191 or 61?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -1.49, -0.1, 0.3, -0.5?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w**2 + 8*w**2 - 10*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04807 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 60629*j**4*u + 21*j**3*u**2 + 5*j**2*u**2 + 90*u**2 + 34*u + 4 wrt j?\nAnswer: 1455096*j*u + 126*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 3*f**2 - 20*f + 15. Let n be r(6). Suppose -26*a - 24*a - 26*a - 10*a**2 + 71*a - 5*a**n = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -2\/5, 1\/8, 0.435, 12, -5, -23.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 35*x**3 - 17*x**2 + 7*x - 6*x - x**4 - 4*x + 19*x**2 + x as d*x**2 + s*x + b*x**4 + v*x**3 + f and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/7 in 2, -1.7, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 314297*i**4 - 19*i**2 + 739.\nAnswer: 7543128*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 12:46 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 133 and 152?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4976532 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -78590000 to the nearest one million.\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 2*k = -30. Is 6 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-340)\/816)\/((-520)\/128*-4)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9435*s**3 - s**2 + 13704*s + 2?\nAnswer: 56610*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (283 - 271) + (13 - -2) - (0 - 6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -25  (b) 2110  (c) -0.1  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*u, 5*m + u = 271 + 201. Let y = m - 39. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*j - 1214 - 1800 = -35*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(-20) + (-22)\/(-8). Let o = 7 - h. Calculate the smallest common multiple of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 123?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 120 + -118. Is (5\/x + -2)*2*3697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 603, 600, 597, 594, 591, 588?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by 762?\nAnswer: 4\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 33 = g + 118, -2*q - 4*g + 38 = 0. Calculate the least common multiple of 5 and q.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -488 + 490. Solve -4*i + 3*a + 1 = 0, -4*i + 12*a - 10*a - o = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -2*h + 4. What is the first derivative of 3*z + z - h + 0 + 3*z wrt z?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 23*c + 51. Let p be n(25). Let o(b) = 62*b**3 + 5*b**2 + b - 3 + b**3 - 6*b**2 + 2. What is the tens digit of o(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*q**2 - 3*q + 1 + 30*q**2 + 0*q**3 + q**3 - 15*q**2 - 3*q**3 as i*q**2 + g*q**3 + t*q + a and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12250 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -0*o + 4. Suppose 4*n - 2*s + s = 29, 0 = o*n - 4*s - 32. What is the units digit of (-66)\/(-18) - (-2)\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-142 - 2*z + 142)*(26 + 11 + 20)*(z**2 - 4 - 2*z**3 - z**2) to y + x*z + i*z**2 + t*z**4 + a*z**3 and give x.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 42254115123*g**2\/4 + 4628481*g\/2 + 507\/4 = 0. Calculate g.\nAnswer: -13\/118679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c + 8. Determine v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1370 is divided by 449?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 6 = 2*p, -4*p - 1 = 2*w - 3*p. Let y(l) = 2*l**2 - 1 - l**3 + w*l**3 - 3*l + l. What are the prime factors of y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 - 2*g + 1. Let k(s) = 66*s**3 - 198*s**2 + 396*s - 198. Calculate -198*c(r) - k(r).\nAnswer: -66*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 986744249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2800) - sqrt(2800)*1) + (sqrt(308)*2)\/sqrt(11))\/((-2*sqrt(784) - sqrt(784))\/(-2*sqrt(324) - sqrt(4))).\nAnswer: 38*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 17400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -33*t - 22. Let m(h) = 36*h + 28. Let r(w) = -5*f(w) - 4*m(w). Calculate r(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2430 divided by -639\nAnswer: 270\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -3*c. Let u = -27 + 30. Suppose 5 = -2*l + u. Calculate the least common multiple of n(l) and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) 0.1  (c) 0.3  (d) 233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/2626 and 97\/5252?\nAnswer: 5252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/(-117))\/(117\/(-27) + 5). Which is the third smallest value?  (a) 1  (b) 4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(304) + 2 + sqrt(304)) - sqrt(304))*-3*-5.\nAnswer: 150 + 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 33 + 4*u - 124 - 2*u - 2378*u**5 + 2412*u**5 wrt u?\nAnswer: 680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00008866 to six decimal places.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 92*y + 25 = -90*y, -y + 11 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2745.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 7*y - 3. Let z be (1 - 4) + (-9 - -14). Let w = z - -2. Does 7 divide m(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 4. Let n be (-11 - -6)*(-104)\/(-10). Let g = n - -415\/8. Which is the nearest to 1?  (a) 5  (b) g  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*z**2 - 1920*z - 2816 wrt z.\nAnswer: -8*z - 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 12 = -8. Factor a**4 + 3*a**2 + c*a**3 + a + 3*a**3 - 2*a**3.\nAnswer: a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10830 divided by -5\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 10*x. Suppose -s + 0*s + 7 = x. Let j = 3 + 1. What is the remainder when s is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -295 = -6*m + 299. Let t = -199\/2 + m. What is the fourth biggest value in 4, t, 96, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -521334 - -1?\nAnswer: -521333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2237 - 2239 + 465 = 70*i - 651 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1238 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74126 is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**3 - 7*j**2 + 7*j**2 + j - 4*j**3 + 0*j**3 + 6*j**3 + (j**2 + 0*j**2 - 2*j**2)*(3 - 2*j - 3) - 4 + 2*j**3 + 4.\nAnswer: 5*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 4051755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(3645) + 0)*-2 - (sqrt(3645) - (4*(sqrt(3645) + (sqrt(3645) - sqrt(3645)*-2)) + sqrt(3645))**2)).\nAnswer: -405*sqrt(5) + 5267025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 5*j**2 + 13*j - 5. Let t(x) = 6*x**2 + 14*x - 4. Let f(h) = 5*i(h) - 4*t(h). Suppose -7*p = -2*p + 50. Let k be f(p). Which is greater: k or 2\/31?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate s**3 - 1119*s**2 - 29222943.\nAnswer: 3*s**2 - 2238*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 26887 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6309 - -7885. Calculate the greatest common divisor of 6 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 60?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1000, -1949, -3530, -5743, -8588, -12065?\n\"Answer: -316*m**2 - m - 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m + 2. Let r be a(-4). Let k(o) = 18*o**2 - 30*o**3 + 13*o**3 - 5*o**2 - 2*o. Let c(j) = 8*j**3 - 6*j**2 + j. Calculate r*k(t) - 13*c(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of -5*b**4\/12 - 7*b**3\/2 - 48*b**2 - 14*b. Calculate h(8).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 PM and 2:24 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/(-2) + ((-14)\/(-3)*-6 - 26).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -59197 (base 11) in base 13?\nAnswer: -2cb51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2021 (base 4) to base 11\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3223011 (base 4) to base 16\nAnswer: 3ac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 - 55\/2. Let x(y) = -8*y**2 - 2*y + 1. Let b be x(-2). What is the common denominator of m and (b\/6)\/(6\/(-27))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2683 - -2685. Solve -4*t - 13 = -5*i, 21*t = 23*t + p*i + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 77727 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 1.843212 nanoseconds?\nAnswer: 0.000001843212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 51\/12 + (-1)\/4. Suppose z = r + 1. Let i = -1 + r. Solve -i*m = -6*m + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57, 111, 169, 201, 177, 67, -159, -531?\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 40  (b) -1  (c) 38  (d) -1045  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and ((-54)\/24)\/(9\/(-408))?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468222017 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-3))\/(((-32)\/(-20))\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1498492.583576005 - 79.416283995. Let v = 1498588 + f. Let g = v - 16. Round g to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5\/(-10))\/((-2)\/48). Solve -c + 15 = 4*y + 4*c, -4*y = 4*c - a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 36*p - 135. Let t be w(5). Solve 6*y - 75 = -t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2956, -11876, -26776, -47656, -74516?\n\"Answer: -2990*k**2 + 50*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17804*g - 17864*g - 300 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - 30*d**2 - d + 8. Let x be u(-30). Calculate the greatest common divisor of 38 and x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/2)*o)\/(o**(-8\/7)*o))**(-43) assuming o is positive.\nAnswer: o**(-989\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053816969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 + 56. Let u be l\/3 - (-1)\/3. Let g = u - -3. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of 1\/3*n**3 + 2*n - 3*n**2 - 93. Calculate f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m**5 + 0*m**2 + 0*m**2)*(-1 - 5 + 4) + (m**3 + 3*m - 2*m - 3*m**3)*(-2*m**2 + 4*m**2 - 4*m**2).\nAnswer: 2*m**5 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-12 - (-3 + -7 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1010112 (base 4) to base 12\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, -1\/3, 4\/7, -1.796, 5.9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of 4*m**5\/5 + 1001*m**4\/2 + 1000*m**3\/3 + 3111. Let w(g) = 0. What is g?\nAnswer: -500, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10.61 - 10.6100459. What is o rounded to six decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f + 2*f - 4*f + (602*f - 413*f + 298*f)*(1 - 7 + 3))*(2 - 2 - 3*f).\nAnswer: 4389*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1142660673 divided by 693\nAnswer: 1648861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40676232 is divided by 10169052?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add -2334129.69 and -0.008654.\nAnswer: -2334129.698654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -431*t**2 - 224 + 224 + 220*t**2 - 399*t**2.\nAnswer: -610*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -16 divided by -10\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 - 6*q**2 + 2*q + 7. Let y be 207\/(-18) + 9 - (-6)\/4. Let b(m) = m**2 - 1. Determine y*u(k) - 6*b(k).\nAnswer: k**3 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -120.847 rounded to 0 decimal places?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 14 = 2*v, -5*v - 19 - 12 = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20054843, -40109684, -60164525?\nAnswer: -80219366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -0.43  (c) -2\/11  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than -50.8162841?\nAnswer: -50.3162841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 + 7*k**2 - k + 8. Let a(v) = -v**3 + 11*v**2 - 9*v + 4. Let j be a(10). Suppose 20 = -9*x + j*x. Suppose 5*d = x + 31. Calculate n(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 531 + 497 + 2*k - 1028 + 0*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d + 35. Let r(g) = -4*g - 175. Let q(z) = 5*l(z) + r(z). Let a(v) = 378*v**2. What is a(q(y))?\nAnswer: 378*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 + 46. Suppose -o = -4*i + 5*h, 8 = -4*i - 2*h + 44. Let a(y) = y**3 - 8*y**2 + y - 2. Let p be a(i). Solve m = p*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -u - 5*r - 29, 5*u = -r - 5. Suppose -3*h + h + 20 = u. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2681 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -26.\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3190637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 19*(-64 + 68) - 78\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 122 and 1769.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 1890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -57 - -56.792. Round c to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16445 - -16442.6. What is the nearest to -2\/11 in 4, 0.1, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 5*k - 9 = -4*k, 0 = k - 2. Suppose p = 2*u - 6, 4*u - 16 = 4*p + 20. Let h be 0 + 1 + (-12 - p). What is the highest common factor of h and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 707865591 a multiple of 3992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -409*x - 412 - 2480 = 1198 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 155434549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5227219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 13) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 5*a - 10. Let z(s) = -s + 1. Calculate -t(o) - 2*z(o).\nAnswer: -3*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 3:40 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 18 = k. Let u = 3 + k. Sort 2\/7, 2, u.\nAnswer: u, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -88813, -177797, -266781?\n\"Answer: -88984*j + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of 2*g**7\/315 - 163*g**6\/360 + 119*g**5\/180 + 5*g**4\/9 + 931*g**2. Factor s(z).\nAnswer: z*(z - 40)*(z - 1)*(4*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48344*h**2 + 96630*h**2 - 48287*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -16, 19, 88, 203?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 10*k**2 + 47*k - 6. What is the remainder when 597 is divided by s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-6))\/(2\/(-12)). Let m be (y + -2)\/(3 + -1). Suppose m = -4*v + v. Solve v = -0*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1935.924 weeks to minutes.\nAnswer: 19514113.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 - 14*a - 14. Let r be k(-1). Put 0.3, 3\/2, r, -4\/15 in decreasing order.\nAnswer: 3\/2, 0.3, -4\/15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - -2. Suppose 8 = 2*i, 2*a + 3*i = -7 + 23. Factor 0*z**y + 4\/9*z**3 + 0*z**a - 2\/9*z - 2\/9*z**5 + 0.\nAnswer: -2*z*(z - 1)**2*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tmmmyymta. Give prob of picking 1 a and 3 m.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 1:53 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*(13\/65)\/((-1)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19325230 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37209299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -4*v, 5*i = 2*v - 29 - 67 + 27 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 + 9*b**2 + 7*b - 14. Let k be a(-8). Let f(n) = -5*n - 29. Let m be f(k). Suppose -4*c - 16 = 4*h + 4, -2*h = -4*c - 8. Sort m, -2, c.\nAnswer: c, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -212242014 by -4.\nAnswer: 106121007\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -163*q**3 + 31*q**2 + 6. Let k(s) = -s**3 - s**2 + s - 2. Let p(v) = i(v) + 3*k(v). What is the third derivative of p(u) wrt u?\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*h - 25*h - 2*h + 752 + 760 = 0 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c**4 - c**4 - c**4 + (-c**2 - 4 + 4)*(-3 + 3 - c**2) - 4*c**3 + 4*c**3 - 3*c**4 - 1.\nAnswer: -c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-88 - 75) + 77 - -53\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 0)*(2*j + 2*j - j)*(0 + 0 - 3*j).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/(-2))\/(2\/(-20)). Suppose 0 = -1198*n + 1189*n. Sort p, n, 2\/3, 3 in decreasing order.\nAnswer: 3, 2\/3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 291616 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: Solve 5 = -2*z - 3*c, -4*c = -8*z + 586948 - 587048 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1060 and 84588.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1022734 + -14)*(2 + -4)*(-125)\/(-4). Round b to the nearest 1000000.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -3075*v**3 + v**2 - 8*v. Give f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -37225\/8 - -4661. Let b(r) = -r - 10. Let y be b(-7). Calculate the common denominator of -1*(1\/y - 447\/63) and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3 + sqrt(98) + 2 + (-2 + sqrt(98) + -1)**2).\nAnswer: -140*sqrt(2) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*j**5 + 17180*j**4 + 239295*j**3 - 838220*j**2 + 581740*j = 0. What is j?\nAnswer: -3422, -17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*x**3 + x**3 + 0*x + x + (-13*x + 12*x - 42*x + 6*x - 3*x - x - 2*x + 0*x + 0*x + (1 - 4 + 1)*(3*x - 2*x + x))*(x + 3*x**2 - x).\nAnswer: -144*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 21  (b) -1\/2  (c) -1956\/7  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**2 - 39471*o**3 - 3*o**2 + 19691*o**3 + 19570*o**3.\nAnswer: -210*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 5*a = -90. What is the greatest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h + 2. Let f be v(2). Suppose -3*b - z - z = -18, 0 = -f*b - 3*z + 25. What is the units digit of (-1)\/b*(-60 + -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 - 82?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -9*j + 2. Let k be o(-2). Suppose -k = 2*c + 3*c. Let t be 5*1 + 10\/(-35)*7. Put 4, t, c in decreasing order.\nAnswer: 4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 - 7*k**2 + 1. Let s be b(-7). Let g be (1\/(-3))\/(2\/(-6)). Let w = s + g. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 25*h + 11. Let z(s) = -12*s - 5. Let o(x) = 6*p(x) + 13*z(x). Let k be o(7). Let d = -124\/3 - k. Which is greater: d or 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -60 - -58. Let w(a) = -a**3 - 3*a**2 - a + 4. Let o be w(d). Solve 3*h - 3 = -3*m, 2*h + o*h + 6 = -2*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 137 - 142. Solve 0 = b - t - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -4*m - 9. Let i be h(-3). Suppose 12 = 2*w - 2*r, -i*w + 12*r = 13*r - 14. Suppose -5*d + b + 3*b = 12, -5*d - 9 = -3*b. Solve d = 4*u + u - w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 201 - 2?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 7, n: 4}. Give prob of sequence nnnn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 3*m + 65 = 0, 2*z + 4*m + 6 = 36. Calculate the smallest common multiple of 225 and z.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -262*o + 4450. Let x be t(17). Let a = 1 - 4. Sort a, x, 1 in decreasing order.\nAnswer: 1, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**2 - 2*x**2 + 6*x**2 + (0*x + 5*x + 8*x + 2*x - 5*x + 4*x + (2 - 2 + 2)*(0*x + 0*x + x))*(2*x - 6*x + 3*x).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.0689 + -0.1\nAnswer: -0.1689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 4*i + 3324 + 57261, 0 = 5*h + 4*i - 302949. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.2 - -2. Let t = -98 + 106.1. Let s = -3.1 + t. Put w, s, -3\/7 in decreasing order.\nAnswer: s, w, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 4*p**4\/5 + 4*p**3 + 8*p**2\/5 - 16*p - 96\/5 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7.866 and -165.\nAnswer: 1297.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 20 - (-732 + 753)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 26 = -4*y, 5*y + 3*n = 21563 - 21600 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*x + 12556 - 1816. Suppose -4*d - 4*v + 859 = -x, -5*v + 695 = 2*d. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 - 2*p**2 - 5*p - 5. Let n be k(-2). Let f(a) = -2*a + 7. What is f(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/4?  (a) -2\/11  (b) -2  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -2862, 5.\nAnswer: -2862, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.15*-1.9006\nAnswer: 0.28509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -10 + 6 + 5 + 7*g in the form w + i*g and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15564.\nAnswer: 2, 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -4*c. Let w(t) = -4887*t. Determine w(i(d)).\nAnswer: 19548*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = 4*q - 5*r, 2*q - 3*r - 6333 = -6350 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1270 - -1308.3. Which is greater: 15 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 140806388524616 - 1\nAnswer: 140806388524615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7257 - 2\/(24\/60). Calculate the highest common factor of 49 and a.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*g**2 - 28*g**2 - 86*g**2 - 68*g**2.\nAnswer: -227*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 841482932.\nAnswer: 2, 17, 12374749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 669072 is divided by 669031.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5 - 5) + ((-152)\/(-25) - 6). What is the third smallest value in 4, u, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 174949 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5593*s = 5530*s + 126 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -293*p**2 - 20*p - 18. Determine y(-3).\nAnswer: -2595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of -19*t**5\/4 - t**4\/24 - 1529*t**3\/6 - 2424*t**2. Find the second derivative of p(k) wrt k.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 0.4053386?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -845?\nAnswer: -845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 + 6*h**2 - 2*h - 4. Let c be w(5). Let j = -12 + c. Let v = 4 + j. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -84 - -86. Suppose 0 = r*i + 3*l, 2*l - 20 = 7*l. Suppose -m + 6 = 3. Solve m*x - i = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9, -1, 7, 15, 23?\n\"Answer: 8*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2059 = 4*w, -3*f - 645 = -2*w + 388. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12 - (-2 - (4 - 8)). Suppose 0*s = b*s. Suppose s = -d + 28 - 9. Solve -1 = -5*x + d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - 33564?\nAnswer: -33557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -144*z - 425. Calculate n(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 1728*x - 139950. What is t(81)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1607 + 3230. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4*s. Let u(q) = -5*q - 12. Let v be u(-3). Let b(m) = -11*m + 1. Let y(f) = v*b(f) - 8*n(f). Let j be y(1). Solve -j*p + 2 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*i + i - 3*z, -5 = -5*z. Let o(y) = -12*y - 20. Let b be o(9). Let m = b - -127. What is the third biggest value in 1, m, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 2 - 3 = 0. Suppose -k + 0*l = -l - 131, -4*l + 280 = 2*k. Let q = k - 132. Sort 5, q, s in decreasing order.\nAnswer: 5, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -0.1, -2.5, 1, 19, -32.\nAnswer: -32, -2.5, -0.3, -0.1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -366 = -4*m + 2*u, -38 = 4*m + 5*u - 397. Calculate the remainder when m is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 468 + 3?\nAnswer: 46b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(325))**2 + 0.\nAnswer: -10*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*o - 16. Suppose 27 = 4*b - o*b. Let i be (b\/(-2))\/(6\/(-760)). Round i to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.345 - 0.3?\nAnswer: -0.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 11:39 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21 + 17. Which is the nearest to 0?  (a) -2  (b) w  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -118*w**3 + 4*w**2 + 4*w. Let k(q) = -945*q**3 + 33*q**2 + 33*q. What is 33*h(y) - 4*k(y)?\nAnswer: -114*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -323 = q - 2*b, 0*b = -5*q + 4*b - 1597. Let i = 547 + q. Calculate the highest common factor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 12\/973789?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3559 - -7403. What are the prime factors of n?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 357*m - 2293 + 151 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 269701 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 23\/(-75) - (-9)\/27. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 0.55, 0, 2\/2391, -5, -2\/23, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2422d - -169?\nAnswer: -240a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 64169 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5996331 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/9*(-14)\/((-616)\/33).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 PM and 11:54 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*r - 24 = 0, 3*k + r + 40 = -3*r. Which is the third biggest value?  (a) k  (b) -2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7.5567 and -9?\nAnswer: -68.0103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 560*y**2 - 211*y**2 + 692*y**2 + 2*y.\nAnswer: 1041*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -113 + -21330?\nAnswer: -22103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -156165 divided by 3\nAnswer: -52055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of -1\/4*d**4 + 0*d + 0*d**3 + 0*d**5 - 1\/60*d**6 + 6*d**2 + 0. What is the second derivative of w(x) wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 4*f**2 - f + 1. What are the prime factors of l(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2337, 2335, 2333, 2331?\nAnswer: 2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/6  (b) -22  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/28 + (-30)\/21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24882 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.5 + 2.5. Let z = -1 + v. Let o be 3\/(-3 - (-12)\/8). Put 1\/4, z, o in decreasing order.\nAnswer: z, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19052 - -19056. Solve 45 - 35 = t*s - 2*r, 19 = 4*s + r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 12) to base 11.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.34264 and 0.00989756.\nAnswer: 0.35253756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*n = -100*n + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 + 7*u + 8. Let b be s(8). Suppose 2*j = 16 - b. List the prime factors of 66\/10 - j\/(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 4*q + 48 + 30 = 0, -2*c + 78 = -5*q. Let t = c - 13. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00054156125 rounded to 7 decimal places?\nAnswer: -0.0005416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -43 - -53567231?\nAnswer: 53567166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3672182 (base 9) in base 6?\nAnswer: 110441245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 11) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + l - 5)*(17*l + 8 - 8)*(4 + 1 - 4).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of 6*d**7\/7 + 8*d**3\/3 + 5. Find the third derivative of j(l) wrt l.\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2 + 1524021*v + 4572072.\nAnswer: -(v - 1524024)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7784 = -30*f + 4*b - 8072, 3*f = b - 27 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2071)\/(-95) - 4*2\/10. Let f be 36\/14 - q\/(-49). Suppose 4*v = r - 52 - 99, -2*r + f*v = -282. Calculate the highest common divisor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 176 + -158. What is the smallest common multiple of 3976 and m?\nAnswer: 35784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -115, -241, -379, -535, -715, -925?\n\"Answer: -a**3 - 119*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 0*n - 21 = -4*n, 2*t - 4*n = -6. Suppose -x + c + 6 = 0, t*c + 20 = 3*x - 2*c. Let j = 16 - 111\/7. Put j, -2\/3, -4, x in ascending order.\nAnswer: -4, -2\/3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cw when two letters picked without replacement from dddddwdddwcdddddw?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/2 - (-1)\/1. Let g be (-3)\/42*46 - x. Let h = -3 - -3.3. What is the closest to g in h, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a. Let l(v) = 6*v**2. Let f(t) = t**2. Let g(y) = -35*f(y) + 5*l(y). Calculate g(n(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 780151 times -0.22\nAnswer: -171633.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*456\/12*4*23\/(-92).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1340432 - -1202?\nAnswer: -1334230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/8160 and 133\/26520.\nAnswer: 106080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (174*c + 21*c + 66*c)*(-1 + 2*c**3 + 1) + (2*c + c**2 - 2*c)*(-c**2 + 3*c**2 - c**2) + 0*c**4 + 2*c**4 + 0*c**4.\nAnswer: 525*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 115 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10313*z + 1418*z + 971*z to j*z + s and give j.\nAnswer: 12702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 6*v - 41*v**3 + 2 - 6*v - 34*v**3 + 88*v**3 - v**2. Let c(l) = l**3 + 1. Give 2*c(s) - o(s).\nAnswer: -11*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 7*t**2 - 113*t - 573. Calculate m(20).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1038 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: Sort 97, -4, 1.\nAnswer: -4, 1, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 208914 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence of when two letters picked without replacement from oooofofo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.51 - -24.51. Which is the smallest value?  (a) -3  (b) 8\/11  (c) 0  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -235, -244, -267, -310, -379, -480?\n\"Answer: -a**3 - a**2 + a - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 171 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 21780.\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 4*f - 2, -11*f + 7*f = -5*v + 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 4 + -6 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1639819 is divided by 198?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14251*x - 14238*x + 234 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14278087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w + 18 - 18 - 5*w. Let g(m) = 11*m**2. What is y(g(u))?\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -1069*o**2 - 74815*o + 1037. Calculate n(-70).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2, -1\/23, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6*-263945\nAnswer: 1583670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 - 5*o**2 - 5*o + 5. Let t = 6 - 6. Suppose -4*q + 2*x = -t*q - 22, -q - 3*x = -9. What are the prime factors of s(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 + 3*y - 5. Calculate t(10).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, -2, 15 in increasing order.\nAnswer: -4, -2, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -8214 less than 0.020578?\nAnswer: 8214.020578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + 2*y + 50. Determine d(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 + 8*p - 7. Let b be m(6). Let h = -14 - -16. Suppose h*z - 1 - b = 0. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-10 + 10) - 8164\/(-1413)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y\/y**(-3)*y*y)\/y)\/y)\/(y**1*y*y)*(y**(-2\/7)\/y*y)\/(y*y**(-2)) assuming y is positive.\nAnswer: y**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 0.488365\nAnswer: 0.097673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 - 8. Let n = r + 1. What is the remainder when n is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - 4*d**2 + 3*d - 7. Let h = -13 + 8. Let w be a(h). Let g(k) = 2 + k + 3*k**2 + 2*k + 7*k**3 - 6*k**w - 2*k**3. What is g(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8242649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 5851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(16\/(-30)) - 164\/41?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*y - t - 1, -29*y = -27*y + 2*t - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3 - 20264*o**2 - 25603456*o + 154351104.\nAnswer: -4*(o - 6)*(o + 2536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 41 + 3*h - 182*h**4 + 48*h**2 - 5 - 36 wrt h.\nAnswer: -4368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of 0*r**4 - 11*r**2 + 1\/15*r**5 + 0*r - 1\/30*r**6 + 0 + 0*r**3. Let t(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 230*c**3 + 6975*c**2 + 5\/2*c**4 - 148955\/2 + 67270*c.\nAnswer: 5*(c - 1)*(c + 31)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -209, -293, -111, 469, 1579, 3351?\n\"Answer: 22*n**3 + n**2 - 241*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 7*n + 729. Let t be r(0). Let s = 1071 - t. Calculate the greatest common divisor of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i*o*z**3 + 306*i*o*z**2 - i*z**2 + 68*z**3 with respect to o.\nAnswer: i*z**3 + 306*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -1. Let u be (-2 + (-1)\/(-1))\/1. Is (-2 + y - 31)*u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 1350667 = -i, c + 5*i + 741915 = -608746. Let o be (c\/105138)\/((10\/(-12))\/(-5)). Let b = o - -848\/11. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 50368.21 centimeters?\nAnswer: 503682.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 708655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 8*w + 160. Let m = w - 29. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 2 = -5*q - 0, -3*q + 10 = -u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7217276.\nAnswer: 2, 11, 61, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -96\/124952597?\nAnswer: -96\/124952597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -42867 divided by 9\nAnswer: -4763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j - 16. Let z(x) = 3*x - 15. Let n(q) = -2*r(q) + 3*z(q). What are the prime factors of n(18)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 369095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -524.87 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*n - 26*n + 42 - 482 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 709*d - 638*d + 149 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2828?\nAnswer: -2828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-3 + 5 - -3) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mzxjsxzzjzjmjmjjxzjj. What is prob of picking 1 x and 2 j?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2743630, -2, 5 in increasing order.\nAnswer: -2, 5, 2743630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*v**3 + 18*v**3 - v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 91 = -2*k, 3778*k + 185 = 3783*k - 10*j. Factor l + 0 + k*l**2 + 9\/4*l**3.\nAnswer: l*(3*l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/5 + 158*u\/5 - 6241\/5.\nAnswer: -(u - 79)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 100 - 498\/5. Sort -5, -0.2, j.\nAnswer: -5, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2*i - 124 = 42, -i = -1. What is the lowest common multiple of 21 and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o - 7. Let r be h(10). Let f be 0 + 0 + (4 - 0). Solve r*n - 4*c + 14 = 0, -n + 5*c - f - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-11)\/(-462))\/(3\/(-9))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -7*o - 10. Let g(c) = 6*c**2 - c - 12. Let p be g(-4). Let h be 5 + p\/(-13) + 2. Which is greater: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 107 - 768529509.2198.\nAnswer: -768529402.2198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 22*i + 200 = 18*i + 95 + 94, 4*i - 29 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**2 - d**2 + d**2 + (-2*d + d - 2*d)*(-3*d + 7 - 7).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -63*r**2. Let g be ((-5)\/(-30) - 95\/30) + 5. Let c(s) = -9 + 138*s**g + 9 - 137*s**2. Give c(v(m)).\nAnswer: 3969*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 316 - 254 = 20*l, -42 = -3*l + 5*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5583 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 5*t - 8. Let j(r) = 43 + 9*r**t + 6*r - 8*r**2 - 57. What is the remainder when 181 is divided by j(-10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 6 - (-11 + (-18 - (-7 - -3)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(6*(-1*sqrt(38)\/sqrt(2)*-4 + 2) + 0).\nAnswer: -48*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 1. Sort 0.2, f, 2\/5 in descending order.\nAnswer: 2\/5, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 33889 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5 and -0.0097276.\nAnswer: -5.0097276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 8) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 2647?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -306*n**3 + 73*n**3 - 87*n**3.\nAnswer: -320*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence frxj when four letters picked without replacement from {f: 1, r: 1, x: 1, j: 4, w: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4880 and 4915136.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**2 + 0*u**2 + u**2)*(0*u + 2*u - 3*u + (-1 + 0 + 0)*(2*u - u + u) + 3*u + u - 3*u + u + u + u + (u + 0*u + u)*(4 + 2 - 4)).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 195483, 390966, 586449, 781932, 977415?\nAnswer: 1172898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -7*a - 46. Let h be m(-7). Let d(c) be the second derivative of 3*c**2 + 0 + 1\/6*c**3 - h*c. Determine d(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 69 = 5*r. Suppose r*x = -9 + 284. Calculate the remainder when 70 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**5\/2 - 265*u**4\/2 + 1092*u**3 - 64*u**2 - 17344*u + 34944 = 0. What is u?\nAnswer: -273, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 9498, 4, -4, -3 in ascending order.\nAnswer: -4, -3, 4, 9498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j - 2. Let m(t) = -t**2 + 8. Let k be m(-3). Calculate p(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -178634, -357470, -536504, -715736?\n\"Answer: -99*b**2 - 178539*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*k - 93*k = -2*z + 4, -4*k + 8 = -2*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 11) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-20)*10*(-1)\/(-18)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23670696.\nAnswer: 2, 3, 7, 140897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/(-108)*-66 - -8. Which is smaller: p or -5.13?\nAnswer: -5.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13885 times -1.7?\nAnswer: -0.236045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnkkn. Give prob of picking 1 k and 3 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5182843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 167*m - 2. Let l(a) = 289542*a. Calculate l(v(x)).\nAnswer: 48353514*x - 579084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of -42*u**6\/5 - 9*u**4\/2 + 13*u + 6. What is the third derivative of a(i) wrt i?\nAnswer: -6048*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1680169 is divided by 5218.\nAnswer: 5191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + 144?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10127*c*d**2 + 12*c*d + 3*c + 2*d**2 + 2*d + 146 wrt d.\nAnswer: -20254*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(675)*-1)\/(sqrt(441) - (sqrt(441) - -5*sqrt(441)*-2)).\nAnswer: -3*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 29006934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w + 10. Let g be f(7). Let l(p) = -4*p + 2. Let q be l(g). Let t = q + 18. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 + -36306001.9417.\nAnswer: -36305998.9417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s**3 - 2*s**2 - s + 1. Let k be j(-1). Suppose 4*h + 68 - 5 = -5*r, 0 = r - 2*h + 7. Let w = r - -6. Put w, k, -1 in decreasing order.\nAnswer: k, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -542 divided by -2\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -0.4, -4, 2\/7, -0.5, -5\/2.\nAnswer: -4, -5\/2, -0.5, -0.4, 2\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 11641113347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 252 - 58. Let g = 236 - m. Calculate the highest common divisor of g and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105818 equal to 105619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -27 + -7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, t: 2, n: 3, y: 7, f: 3}. What is prob of picking 1 f and 2 y?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118 + 156 - 178 - 171 - 3*b + 17.\nAnswer: -3*b - 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of -o**6\/120 + 19*o**5\/60 + o**4\/6 - 7*o**3\/6 - o**2 + o. Is 34 a factor of u(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -37, -69, -125, -211, -333, -497?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 11*h**2 - 4*h + 12. Let v be b(10). Round v to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 688 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(5) - 1*sqrt(5)) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2540 + 4*o - 2551 + 27*o - 3*o + 4*o - 2*o + (2*o + 5*o - 5*o)*(-1 + 1 - 2).\nAnswer: 26*o - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 87\/11 in -98, -5, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 212162034 and 13964?\nAnswer: 6982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 25*l**2 - 6 - 14 - 5 + 15.\nAnswer: 25*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*f - 41 = -2578. Solve -15*l + f*l = -44 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 381.79 + 0.21. Let b = r + -381.7. Let w = 0 - 0.2. What is the nearest to w in -0.4, b, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-9)\/54)\/((-5)\/2190). Let w = 34 - -39. Is w equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3183750 from -9933281.\nAnswer: -6749531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4*y**2 - 215*y + 967. Let s be l(49). Determine w so that -91\/2*w**2 + 40*w**4 - s*w**3 + 27*w - 7\/2 = 0.\nAnswer: -1, 1\/4, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 145704 is divided by 35900?\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of 0*r**4 + 1 - 7\/2*r**2 + 1\/3*r**3 + 0*r**5 + 0*r**6 + 67\/42*r**7 + 24*r. What is the second derivative of u(k) wrt k?\nAnswer: 1340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 6) + 3 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 - 16. Let o be (-2393)\/l - 2\/8. Is (-2)\/4 + o\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14772187?\nAnswer: 23, 61, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 48 - 43 - (11 - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + 3*a - 18, 16*a + 13 = 5*n + 14*a. Suppose 8*z - 77 - 19 = 0. Solve n*t = -4*x + 12, -4 = -4*t + 3*x + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1850*k**2*u**2 + 217*k**2*u wrt u.\nAnswer: 3700*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109*p - 6*p - 5645 = 4758. What is the remainder when 503 is divided by p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*z - 11*z + 10*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 9:11 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8601475 to the power of 1\/2, to the nearest integer?\nAnswer: 2933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n - 2*n = 50. Suppose -11 + n = -v. Suppose -3*k = 3*w - 210, k + 3*w + 342 = v*k. Calculate the remainder when k is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3\/3 + 61*k**2\/9 + 86*k\/3 + 16.\nAnswer: -(k - 24)*(k + 3)*(3*k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -13, -5, -106440, 2.\nAnswer: -106440, -13, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3052431*o**3*y + 31710*o**3 + 5*o*y + 1143*o wrt y.\nAnswer: -3052431*o**3 + 5*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - -10. Let t = -22.54 + f. Let o = t + 0.04. Which is the second biggest value?  (a) -3\/4  (b) o  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*v - 1 = -z, -4*z - 10 = 5*v. Which is the closest to -1?  (a) -4  (b) z  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.024085 times 31.2?\nAnswer: -0.751452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 64*n**2 + 2*n + 1. Let k be w(-1). Let r(z) = -1 + 0*z + 7*z**2 - 5*z + 4*z. Let t be r(-1). What is the greatest common factor of t and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**(-1\/10)*v*v*v*v*v*v*v**(-7)\/v*v\/v**(-1\/2)*v*v**1 assuming v is positive.\nAnswer: v**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1032927, 2066003, 3099079?\nAnswer: 4132155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*i - i = 8*i - 2068 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 28*l**2 + 22*l - 6 = 0.\nAnswer: -1, 3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*j**2 + 16\/3*j - 17\/3.\nAnswer: (j - 1)*(j + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 913 = -5*l - 255, -3*l + 422 = 4*z. What is the remainder when 10005 is divided by l?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-206)\/412)\/((-5)\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*r + 25*s + 252 = 18*s, -52*r = -54*r + 4*s + 54 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 + 3*d - 9*d**2 + 5*d + 14*d**2 + 4*d**2 - 9 to the form i*d**2 + r*d + z and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/549502 and 9\/2747510?\nAnswer: 2747510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - o - 673, 4*b - 87*o - 902 = -88*o. Suppose -151 = 2*a + 101. Let c = b + a. Is c a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one eighteenth of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 5*j = 21, 3 = 6*m - 9*m + 3*j. Determine d so that 7*d**2 - 3 - m*d**2 + 1406*d - 1385*d + 21 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -12*k - 8. Let a be p(-8). Suppose -s - 100 = -3*w, -3*w - 3*s + s = -a. Suppose 3*m - 73 + w = -4*n, -2*n - m + 23 = 0. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -124520585 and -0.36.\nAnswer: -124520585.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, m: 1, g: 1, j: 1, z: 1}. What is prob of picking 1 j and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, c: 6, j: 12}. What is prob of picking 1 a and 1 j?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 64 = -3*w, w + 1168*a + 54 = 1172*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6234, 24923, 56072, 99681, 155750, 224279?\nAnswer: 305268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {s: 7, q: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p + 10*p + 57*p**2 + 9*p - 20*p - 25*p**2 - 26*p**2.\nAnswer: 6*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1086 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**4\/5 + 16472*f**3\/5 - 32918*f**2\/5 - 148248*f\/5 + 296424\/5 = 0. Calculate f.\nAnswer: -3, 2, 3, 8234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4.2736712 and 256.\nAnswer: 251.7263288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 250 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*m - 3 = -14*m + l, 3*m + 2*l = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 409*x + 73*x = -7*x + 978. Solve 14 = 10*k - 8*k + 3*c, -x*c + 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 + 5*v - 5. Let p be c(2). Let d = p + 0. Find w such that 3 - 3*w**2 - 1 + d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10043 - -35281061\/3513. Let z = h - -7016\/17565. Which is the biggest value?  (a) z  (b) -1\/2  (c) -3\/7  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**4 + 0*k**4 - 3*k**4 + (k**3 + 3*k**3 - 3*k**3)*(-24 - 6*k + 24).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 694557?\nAnswer: 694554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 94, 935, 3216, 7657, 14978, 25899, 41140?\n\"Answer: 120*k**3 + k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/x**9)\/x)\/x**(4\/7))**(1\/8)*((x**2*x)\/x)\/x*x**(-3\/4)*(x**(1\/2)*x)**25 assuming x is positive.\nAnswer: x**(2047\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 72475.85122 to the nearest 100.\nAnswer: 72500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 319 - 335.9. Let h = l - -17. Which is the closest to 22?  (a) h  (b) 3\/2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -1)*(-1 + 1). Let r(p) = -5*p - 3 - 3 + 6*p - 5 + 4. Determine r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 times -0.6406\nAnswer: 5.1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -8*x**3 - 148*x**2 + 8*x + 170. Let s(f) = -f**3 - 21*f**2 + f + 24. Let b(z) = -44*s(z) + 6*y(z). What is a in b(a) = 0?\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 61, -7, 16, -0.1, -85.7 in ascending order.\nAnswer: -85.7, -7, -0.1, 16, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -862040 rounded to the nearest one thousand?\nAnswer: -862000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 84*x**3*z + 7*x**3 + 2*x**2*z - 16*x**2 - 9*x*z - 379*x - 58*z + 1 wrt z?\nAnswer: 84*x**3 + 2*x**2 - 9*x - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) -3  (c) -435314\/9  (d) 0.3  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -40278\/775 - 6666527\/4650. Let x = n - -1485. Find the common denominator of 97\/16 and x.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h + 3 - 3. Let z(r) = 102*r + 1 - 50*r - 50*r - 1. Give i(z(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**2 - 65*g + 31. Let p be f(32). Is p bigger than -17\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -22*w**2 + 12*w + 22. Suppose -3*v = 5*i, 0 = -4*i + 3*v + 2*v. Suppose i*s = -3*s - 36. Let m(z) = -9*z**2 + 5*z + 9. What is s*m(d) + 5*r(d)?\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2*n**3 - 4 - 5*n**2 - 10 + 2*n**2. Let z(k) = k**3 - 2*k**2 - 9. Let g = -4102 - -4107. Calculate g*a(r) - 8*z(r).\nAnswer: 2*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 3*c - 5, c = -3*z + 6*c + 40. Suppose z*i + 6 = -3*u, u = -0*i + i - 2. Which is greater: -2\/37 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11021022002 + 12?\nAnswer: -11021021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 45910720 by 216560.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101101100100010 - 10000011?\nAnswer: -101101110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k + 3*k + 2 + 2*k + 1 + 2*k - 1 + (2 - 2 + 2)*(-2*k - k + 5*k))*(10*k - 33*k - 27*k)*(5*k - 4*k + 2*k) + 7 + 4*k**3 - 7.\nAnswer: -1646*k**3 - 300*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52164216 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 0 = 12*a. Solve -l + 4 = -a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 660268156, 1320536310, 1980804464, 2641072618?\nAnswer: 3301340772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 178426873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -323\/530 - -1\/106. What is the closest to 0.5 in 2\/3, d, 4\/3, -14\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b**5 + 48386*b**4 + 84696*b**3 + 24202*b**2 - 12100*b = 0 for b.\nAnswer: -1, 0, 1\/4, 6050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -2.8. Let u = 85285.9 + -85280.9. What is the closest to 0 in -3, n, -3\/5, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/10)*f)\/(f*f\/(f**(3\/4)\/f))*((f**(2\/13)*f)\/f)\/f**(5\/7) assuming f is positive.\nAnswer: f**(-3113\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/12*-2*2. What is the third smallest value in 0, 2, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-24)*i\/(i*i**9)*i)**(-4\/31) assuming i is positive.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 417301.14708722 + -0.4.\nAnswer: 417300.74708722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 = 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**2 - 240853*m + 319550 with respect to m.\nAnswer: -4*m - 240853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 62.776kg?\nAnswer: 62776000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41233, 3, -28 in decreasing order.\nAnswer: 3, -28, -41233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - 9*r. Let w(c) = -c. Calculate 2*u(y) - 18*w(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 153890\/45 - (671\/99 - (-1 - -8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1787, -3572, -5367, -7178, -9011, -10872, -12767?\n\"Answer: -s**3 + s**2 - 1781*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -23. Let h = 13 - q. Sort -0.2, -0.4, h in ascending order.\nAnswer: -0.4, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 154*z**4 + 487 + 500 - 969 wrt z?\nAnswer: 616*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -1\/2, -0.12, -4, -0.2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/3 - 15988*b**2\/3 + 701491*b\/3 + 239160.\nAnswer: (b - 15944)*(b - 45)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from iiiiiiiirr.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 5515, 5488, 5461?\n\"Answer: -27*d + 5542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.96 - -0.04. Let i = 10\/3 - 23\/6. Which is the closest to -1?  (a) k  (b) 2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3136974 is divided by 420.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 450726 (base 8) in base 4?\nAnswer: 211013112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -3*v + 2. Let w be c(11). Let t = w - -53. Suppose 0 = -3*i - 5*d + 26, 0*i + 5*i + 3*d = t. Solve -4 = -a - i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 4) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -182081, -181117, -180153, -179189?\n\"Answer: 964*s - 183045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 10371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 4\/3, -36, 3.\nAnswer: -36, -4, 1, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 669166620 a multiple of 2320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 18\/5*(-25)\/(-10). Suppose -z*t + 4*t + 75 = 0. Find s such that 12*s**3 + 2*s**5 + 3*s**4 - 3*s**2 - t*s**3 + s**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j + 7. Determine w(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7833140974 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 332 - -3?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -54*o + 320. Let v be j(5). Sort v, -6, -3 in decreasing order.\nAnswer: v, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12509 + 28509. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*v**5 - 10*v**5 + 9*v**5 + (-2*v + v + 2*v)*(-4*v**4 + 0*v**4 + 0*v**4) + v**3 - v**3 - 4*v**5.\nAnswer: -18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9949777?\nAnswer: 17, 23, 25447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -7*s**4\/4 - s**3\/3 - s**2 - s + 4. Let i(c) = -c**2 + 6*c - 6. Let o be i(5). Calculate q(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 72633, 145270, 217907, 290544, 363181, 435818?\n\"Answer: 72637*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 106152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -38*p**7\/3 + p**5\/2 + p**4\/3 + 2*p**3 + 3*p**2\/2 - 66*p - 17. Find the third derivative of o(w) wrt w.\nAnswer: -31920*w**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 j when four letters picked without replacement from jeeqjja.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -174 + 175. Let q(l) = -1 + 22*l**2 + 15*l**2 - 6*l**2 + 4*l**2. Calculate the remainder when q(v) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-1162)\/(-35))\/(((-84)\/(-434))\/(9 + 6)) is divided by 857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 0.4, 35, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -8. Suppose 966 = 17*f - g*f. List the prime factors of f*2 + (30 - 28).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 7, n: 3, y: 9}. Give prob of picking 1 n and 1 y.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in -248, 12\/17, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13674757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1479 and 1479.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 8 = 2*x. Let m(s) = -28*s**3 - 3*s**2 + 3*s + 1. Let r be m(x). Let u = r + 343. Calculate the greatest common factor of 38 and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/5 of a centimeter in millimeters?\nAnswer: 22","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 - 7*i - 8. Give f(7).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*h**3 + 459917 - 459917.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 761 is divided by 422?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - 2) + 2 - (-1174 - -1168)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 740  (b) -1\/5  (c) -3  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -29833.79 - -29696. Round q to 0 dps.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 10, -32, -94, -182, -302?\n\"Answer: -f**3 - 4*f**2 - 23*f + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n = 7*n + 3*l + 11, 3*l = -n - 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 30*z + 39. Let g be t(7). Let d = g - 362. Let c = d - -116. Sort -11, 2, c.\nAnswer: -11, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 418430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**2\/5 - 7578*l\/5 - 384384.\nAnswer: -3*(l + 286)*(l + 2240)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*156\/(-720) - 1\/(-6)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 497 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1152, -1152, -1150, -1146, -1140?\n\"Answer: h**2 - 3*h - 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(297)*-1)\/((sqrt(3) + (sqrt(48)\/sqrt(4) - sqrt(3)) - sqrt(3)) + sqrt(3)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3668906834 rounded to five dps?\nAnswer: -0.36689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 72*u - 78 + 19 - 3 - 10 - 49. Let w(k) = -k + 4. Let p(o) = -r(o) - 4*w(o). Differentiate p(i) wrt i.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4532644 and 1732?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 13 - 1 - (710 - 706)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**3 - 11*h**2 - 8*h + 14. Let t be s(6). Suppose 6*v**2 + 6*v**2 - 13*v**t + 3*v + 7*v - 16 = 0. Calculate v.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 0.051.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 0. Let y = m - -5. Suppose 4 = -q + y*q. Solve -4*a = -5*n - 18 + q, 0 = -3*a - 3*n - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8869 - -16641. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/38100 and -191\/330?\nAnswer: 419100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 484  (b) 3  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - 230450424?\nAnswer: -230450421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 212 a factor of 34031086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -88 at least as big as -88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 235 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t - 12. Let w be j(9). Let i(l) = -l**3 - 3*l**2 + 2. Let h be i(w). Suppose -2*p**3 - p + p**h + p**4 + p = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + (sqrt(300) - (sqrt(300) - 3*(sqrt(300) + 1))))*1*3)**2 + -3.\nAnswer: 3240*sqrt(3) + 24621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 56 and 6235432.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 1298*n + 24665. Let r be q(-19). Let m = -0.09 + 11.09. What is the second smallest value in r, -5, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-21)*b**1 assuming b is positive.\nAnswer: b**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -9*n + 360. Let r be c(40). Put 5, r, -10 in increasing order.\nAnswer: -10, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rzx when three letters picked without replacement from xxmmuruzquzzmum?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -4. Suppose 0 = 4*w + 3*r, 4*w + 2*r - 4 = -2*r. What is the units digit of 28\/p + -3 + w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 354 + -338. Solve 3*v = -5*v + a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2712 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*a + d, 0 = 6*a - a - 4*d + 8. Let q be 9\/(-6) - (-2 + 1\/2). Suppose -18 = i + 5*k - q*k, 5*i - 5*k = 30. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10435 + 10430. Let i(k) = -k. Let q(a) = -5*a + 1. Let d(r) = -4*i(r) + q(r). Let m(l) = 2*l - 2. Let b(w) = d(w) + m(w). Calculate b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 4384.393cm?\nAnswer: 43.84393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/7)*t)**(-24\/11)\/(t**(-2\/41)\/((t**3\/t)\/t)))**(12\/17) assuming t is positive.\nAnswer: t**(-66540\/53669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 5, s: 4, y: 1, k: 1, c: 1, f: 3}. Give prob of sequence ofsk.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39195?\nAnswer: 3, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, k: 15}. Give prob of sequence sskk.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -48024 - -3.2\nAnswer: -48020.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 3615 (base 7) to base 8\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5625, -11020, -16395, -21738, -27037?\n\"Answer: 2*j**3 - 2*j**2 - 5403*j - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t = -2*l + 6, 15 = 6*t + 15*l - 12*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 - o - 3. Let t = 11 - 11. Suppose 4*h - 20 = -t*h. What is the units digit of u(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3166 - 3164) + 17 + 5 + -3 + (6 - 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 2724526 and 1798416.9.\nAnswer: 4522942.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 15 = 4*i - k, -i + 18 = 5*k. Suppose -1572 = -i*n - 135. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 14) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3\/7 + 1\/14. Let c = 2.7 + -3. Let i = -0.41 - -0.71. Sort o, i, c.\nAnswer: c, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 50*x - 2. Let r be z(-1). Let y be ((-12)\/(-8))\/((-6)\/r). Solve -4*k**3 + y*k - 15*k**2 + 3*k**2 + 0*k**3 - 21*k = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*7\/(-14))\/(1\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeeeceeeceeeeeee. Give prob of picking 1 c and 2 e.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*o + o + o)*(2 - 2 - 3)*(-2*o - 2 + 2).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -32.76138 and 104.\nAnswer: 71.23862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 304 = -6*o + 44*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 9543407 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 - 12*w**2 + 7*w - 50. What is y(-13)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 34*d + 1. Let m be u(1). Suppose -30 - m = -5*y. Suppose 2*a + h = 127, -4*h - y - 64 = -a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -82, -64, 96, 440, 1010, 1848, 2996?\nAnswer: 4496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 6*o**3 - 3*o**2 + 2*o. Let n be c(1). Solve 8*f - 4*f - n*q = -13, 0 = -2*q + 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, y: 18}. Give prob of picking 1 r and 1 y.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 4 + 2. Suppose 2*h + 1 - 7 = r*q, 4*q + h = -27. Let m be (-7)\/((-819)\/q)*-3. Which is the biggest value?  (a) -0.4  (b) 3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3*n - 1)*(-2*n + 2 - 2) + 43*n**2 + 2*n + 0 + 2 - 39*n**2 in the form j + m*n + c*n**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**4\/11 - 11672*n**3\/11 - 337254*n**2\/11 - 2601928*n\/11 - 2276344\/11 = 0 for n.\nAnswer: -5807, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 741*m - 2224*m + 746*m + 742*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/8 in 1\/4, -112, -4, -4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-8)\/(-8))\/(1\/(-1)) + 0. Which is smaller: 2\/117 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 27*w**2 + 2*w - 11. Let g = 264 + -268. What is the hundreds digit of s(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p**6))**42\/((p\/(p\/(p**(-1\/13)*p)))\/p**(3\/7)) assuming p is positive.\nAnswer: p**(-22977\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123*c**3 + 70*c**3 - 328*c**3 + 64*c**3 + 68*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6850?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27850.63 years to decades.\nAnswer: 2785.063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/476808 and 113\/6.\nAnswer: 476808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 10706*u**3 + 11*u**2 - 25*u - 11. Is z(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -4 - ((-12)\/(-6) - -151). Let r = -34 + h. Are -191 and r nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 249 - 490. Let y = g - -303. Calculate the least common multiple of y and 5.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in seventy-seven fifths of a millennium?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/419 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118537 is divided by 38697.\nAnswer: 2446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 154989 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.4363 + 0.37061. What is a rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -38215, -38138, -38009, -37828, -37595, -37310?\n\"Answer: 26*o**2 - o - 38240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of -13*h**2 + 0 + 0*h - 1\/4*h**4 - 1\/6*h**3. Let v(l) = -13*l - 2. Determine -5*o(k) + 2*v(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 438715, 438731, 438743, 438751, 438755, 438755, 438751?\n\"Answer: -2*c**2 + 22*c + 438695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13965934\/5 not equal to 2793187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 72 - 71. Let a be 92\/253*p\/2. Sort -4, 0.2, 1\/6, a in decreasing order.\nAnswer: 0.2, a, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -343 + 347. Factor -48*i**2 - 36*i + i**j + i**4 - 2*i**3 - 7*i**3 + i**4.\nAnswer: 3*i*(i - 6)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 10*w**3 + 4*w**2 - 2*w + 5. Let n(y) = -21*y**3 - 9*y**2 + 5*y - 11. Give 9*b(g) + 4*n(g).\nAnswer: 6*g**3 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14532)\/(-653940))\/((-31)\/(-18)).\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7031008 (base 10) to base 8.\nAnswer: 32644340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 236248194 divided by 21?\nAnswer: 11249914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1748 = 10*h + 28*h. Let y be -1*(-1 - -1) - -2. What is the highest common factor of h and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -i**4\/12 + 2*i**3\/3 + 2*i**2 + 2*i. Let y be (-3 - (0 + -2))*-6. Give x(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -57 - -44 - (-87)\/7\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -55028 * 0.02.\nAnswer: -1100.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -a - 15, -l + 23 = 3*a + 16. What is the remainder when 11 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -86*n - 2. Let p(x) = 2*x**2 + 136*x + 2. Let q(g) = -g**2 - 102*g - 1. Let w(v) = 3*p(v) + 4*q(v). Determine t(w(j)).\nAnswer: -172*j**2 - 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 3*c + 9 = -8, 0 = -3*b - 2*c + 16. What is the first derivative of -19*y**b + 88 - 8*y + 8*y - 54*y**2 wrt y?\nAnswer: -146*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.150009 + 0.15. What is g rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 224445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, 28, 7, -20, -53?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and 12054?\nAnswer: 48216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-333)\/(-1590))\/((-1)\/(-2 - 0)). Let p = -1\/53 + q. Which is the third smallest value?  (a) -0.02  (b) p  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2498900)\/599736*((-4)\/14 + 80\/(-14)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(65) - (sqrt(65) - -3*sqrt(65))))\/((sqrt(5) - 4*sqrt(5))*6 + sqrt(5) + sqrt(5)).\nAnswer: 15*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 - 20*g + 37. Let h be c(18). Is h equal to 19\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**5*i**(-4\/9))**32 assuming i is positive.\nAnswer: i**(1312\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 - 22. Let i(q) = -q - 1. Let z(r) = 6*r + 8. Calculate y*z(k) - 14*i(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293*f = 100*f + 1544 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2767 - -412?\nAnswer: -2355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0995831853 to four decimal places.\nAnswer: -0.0996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9 + 12\/(-4) + -2. Suppose 0 = u - s + 1. Is 12 a factor of 1\/((-12)\/(-116))*u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -635 - -24?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.65, -2, -4\/7, -467?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30024 and 7798734?\nAnswer: 31194936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g + 1. Let x(o) = 68 - 37 - 19 - 2*o - 7*o - 16. Calculate -3*n(t) - x(t).\nAnswer: 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -7*y - 5*s + 431321, 2*y - 2*s = 123222. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8428725\/26 - 324134. Let d = 10\/13 + l. What is the common denominator of d and 23\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17 - -17.3. Suppose -c - 4*c - 3*d = 18, -13 = 4*c + d. Let g be (-8)\/10 - (c + 1). What is the smallest value in 0.1, -2, g, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.08, 0.007, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*l**4 + 347*l**3 - 2761*l?\nAnswer: -48*l**2 + 2082*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*k - 34 - 4*k + 6*k)*(-2*k - 2*k + 2*k) to y + r*k**2 + l*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 342729.\nAnswer: 3, 113, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 28*j**4 - 41910*j**3 + 1425852*j**2 - 2726086*j + 1342116 = 0?\nAnswer: 1, 459\/14, 1462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -332.63 to 1 dp.\nAnswer: -332.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 + 9*c**2 - 9*c + 6. Let h be v(8). Let i be (h\/12)\/((-12)\/18). Is i equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14031 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39 - 66. Let a = i - -38. Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 - 2. Let q(j) = 3*j**2 - 5. Let m(z) = 2*q(z) - 5*t(z). Let h(y) = -33*y**2 + 55*y**2 - 38*y**2. Give h(m(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u + 10. Let h be y(4). Find the second derivative of h*j**3 + 159*j - 167*j - 41*j**3 wrt j.\nAnswer: -210*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 + 7*y**2 - y + 6. Let x be s(5). Suppose -255 = -5*z + z - 5*c, 3*c + x = z. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1728 and 2394720?\nAnswer: 14368320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + 20. Let m(s) = -i + 12 - s - 4. Let n(f) = -10*f. Determine n(m(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14524 (base 10) to base 2.\nAnswer: 11100010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-149)\/((-12814)\/688))\/(14\/4).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of d**4\/12 - d**3 - d**2\/2 - 2*d. Let r be u(5). Let b be 3\/r - (-26)\/68. Is 1 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2035, 2016, 1997, 1978, 1959, 1940?\nAnswer: 1921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 6, 0.06, -1, 3\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y = -2*y - 36. Let w(o) = -o**2 + 7*o - 5. Calculate the remainder when 27 is divided by w(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t - 1. Let s(f) = f**2 + f - 1. Let p(r) = 2*s(r) - 2*v(r). Find the second derivative of p(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*q**2 + 54*q**2 + 9*q - 79*q**2 + 406.\nAnswer: 10*q**2 + 9*q + 406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -17 - 27. Suppose -b + 2 + 3 = 0. What is the remainder when c is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 - 5*t**2 - 10*t - 4. What are the prime factors of d(-5)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 9*u**2\/2 - 4*u + 1. Suppose -38*n + 41*n - 24 = 0. Let c(h) = -14*h + 6. Determine n*i(r) + 5*c(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-2)*-1*8\/(-88)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 + 0. Suppose -5*v = -3*y - 93, 2*v - 26 = -88*y + 92*y. Calculate the greatest common factor of l and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + k = g + 63, -2*g + 41 = k. What is the derivative of -20*c - 10*c + g*c + 4 wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -1. Suppose 3*u - o = k, -3*u + 5*k = -7*u + 8. Let c be (6\/(-8))\/((-1)\/4). Which is bigger: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -19?  (a) 28  (b) -2  (c) 2\/155  (d) 4  (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/2)\/(-1)*3. Let l(i) = -i**2 - 19*i - 52. Let b be l(-3). Is 8 a factor of (b\/m)\/(6\/(-117))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 - -2. Let b = m - -22. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -211*k + 213*k - 16 = g, -5*g + 37 = 3*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = 5*q - 24, -3*x - 3*q + 0 = -18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -4.2. Let s be 4*1\/(-8)*(0 + 6). What is the closest to j in -1\/5, s, -1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1879 - -97705\/52. Calculate the common denominator of 53\/16 and b.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1057 - 0.09424. Round j to 4 decimal places.\nAnswer: 0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -0.2, -97, 3\/5, -0.1, 15\/4 in ascending order.\nAnswer: -97, -6, -0.2, -0.1, 3\/5, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 277 divided by 4241.\nAnswer: 277\/4241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 4*i = -0*i + 17, -5*i = 3*s - 25. Suppose 3*q + s*z - 2263 = 3*z, 5*q - 3773 = -2*z. Suppose 2533 - q = 2*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 531 a factor of 7452543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (2*(sqrt(17) + -1) - sqrt(17) - (4 + 1*sqrt(17))))**2 + -4*(sqrt(612) + ((sqrt(612) + 0)*-2)**2))*1.\nAnswer: -9791 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 50 and 365.\nAnswer: 3650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -20*b*c*v**3 + 2*b*c*v**2 + 560*b*c - 2*b - 2*c*v**2 with respect to v.\nAnswer: -60*b*c*v**2 + 4*b*c*v - 4*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 7:50 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + 3*f - 6*f)*(0*f - 5 + 0 + f).\nAnswer: -f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 50 and 950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7533205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -66 - -67. What is the fourth smallest value in 2, z, 2\/5, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7704 (base 8) to base 3\nAnswer: -12112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/(-2 + 3 + 1). Solve -k + a = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 - 12. Let n(d) = -d**2 + 6*d - 4. Let l be n(4). Suppose -z - 45 = -l*z. Calculate the greatest common factor of z and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 950 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 4*l + 3. Let c be h(4). Suppose x + c = 2*f, -3*x + 4*f + 25 = -4*x. Let g = x + 33. What is the remainder when 35 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dppdddpdpppdp.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5654292613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2 or 96\/283051?\nAnswer: 96\/283051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -37795 in decreasing order.\nAnswer: 2, 1, -37795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 183975 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -275 < -276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -221200102 + -3?\nAnswer: -221200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 226895887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 88053811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.1962 * -0.049832\nAnswer: 0.0097770384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -7 - (62 + -48) - -38.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1*(sqrt(209) - -3*sqrt(209)) - (-3*sqrt(209) + sqrt(209))*1))\/(-6*(sqrt(176) + sqrt(176)*4)*-2).\nAnswer: 3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10314 divided by 6.\nAnswer: 1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26)\/52*(-1)\/(27\/12).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-157*r + 42*r + 33*r)*((0 + 2 + 0)*(-2*r + 5 - 5) + 2*r + r - 2*r - r + 3*r + 0*r - 3 + 3 - r - 2*r - 1 + 1 + r + 3*r - 3*r).\nAnswer: 246*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/21*-23)\/(3\/9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -95\/63056?\nAnswer: -95\/63056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -9.1, 5, -0.3, 1, 15\/29?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 65810140 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-10)*2 - 646\/2040. Let l(c) be the third derivative of -5\/72*c**4 + 0*c**3 + 1\/126*c**7 - 1\/24*c**6 + 0 + j*c**5 + 0*c - 2*c**2. Factor l(z).\nAnswer: 5*z*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 + 30. Suppose -o = -5*g + 13, 6*o - o - 43 = -s*g. Suppose 505 = -o*q + 4446. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.29228124 rounded to 3 dps?\nAnswer: -0.292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 - 36*i**2 - 305*i + 222. What is n(-21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 248262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*h**3 - 2*h**2 + 120*h**3 + 2*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 614 times -0.214\nAnswer: -131.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14 - 40 - 10 + 5 - 6)*(-11*f**4 - 3 + 3) in the form k*f + h*f**2 + m*f**4 + i + u*f**3 and give m.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 7*d**2. Let t(j) = -10*j**2. Give y(t(o)).\nAnswer: 700*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) - sqrt(143)\/(sqrt(11)*-1)) + -4 + (sqrt(13)*-2 - sqrt(13)))**2.\nAnswer: 8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3500) + 1*sqrt(3500) - sqrt(3500))\/(sqrt(7) + -1*(sqrt(7) - (sqrt(7)*2 - sqrt(7)))).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of -6 + p**2 + 0*p + 1\/24*p**4 + 2*p**3. Let y(w) be the second derivative of o(w). Give y(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -16, 24 = 3*p + 2*v - 5*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 4 + 6 - (15 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, -373, 3, -1602 in descending order.\nAnswer: 3, 0, -1, -373, -1602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {i: 2, l: 9, r: 2, q: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**2 - 7*l - 1. Let p = 21 - -34. Calculate the remainder when p is divided by w(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 14 = 2*w, -4*m + 17 = -4*w + m. Suppose w*h - 70 = -2*a + 126, 0 = -a - 1. What is the highest common factor of 18 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1 + (470*1)\/5.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9, -16, -23, -30?\n\"Answer: -7*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -20, -41, -64, -89, -116?\n\"Answer: -n**2 - 18*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2222 + 223?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -5. Let p = -14374.3 + 14374. Sort k, p, 7\/5, 1\/8 in decreasing order.\nAnswer: k, 7\/5, 1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4739 + 0 + (16\/(-28))\/((-100)\/350). Is p < 4740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 543 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -h + h - 3*h - 20*h + 31*h + 35*h + (9*h + 11*h - 36*h)*(4 - 1 - 4) to r*h + a and give r.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t + 4. Let k be d(5). Let v be ((-18)\/((-3)\/k))\/1. Let x(a) = a**2 + 6*a + 3. Is x(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4854, 4864, 4878, 4896, 4918, 4944, 4974?\n\"Answer: 2*g**2 + 4*g + 4848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -524.84 rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1075 and 500?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1733\/7 + 248. Let o = 20221\/4 - 5055. Sort 16, o, f in decreasing order.\nAnswer: 16, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 117 - (-6 + 16 + 2 + -6 - 5). Put -3, u, -5, -4 in decreasing order.\nAnswer: u, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(-9 - -3) + 2. Suppose -18 = -4*v - x*d, 2*v + v + 6 = 5*d. Suppose 0 = -c + v*a - 1 - 2, 5 = -4*c + 5*a. Solve c*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15 in -2\/9, 2, -2\/28733, -1\/14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the first derivative of -h**3\/6 - 3*h**2 + 2*h + 1. Let l(w) be the first derivative of c(w). Let u be l(-6). Solve u = -3*q + 6 + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000028249 rounded to 6 dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 260459567 to the nearest integer?\nAnswer: 16139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(1 + 1) - -7 - (309 + -316).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -13. Let v(l) = l**3 - 10*l**2 + 10*l - 7. Let a be v(f). Differentiate 3*h**2 - 3 + 3*h**a + 1 - 5*h**2 with respect to h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 2*j - 204623, -2*j + 207308 = 4*b - 65518. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 13.3?\nAnswer: -39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 12:15 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 99710, 199433, 299160, 398891, 498626, 598365?\nAnswer: 698108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -235 + 545. Let h = y + -310.652. Round h to 2 dps.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 532c8a (base 15) to base 3.\nAnswer: 21110002210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89 divided by -1.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 488.643 tonnes in milligrams?\nAnswer: 488643000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of -h**2\/2 + 5*h - 14. What is i(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, i: 2, b: 3, o: 1, z: 3, g: 3}. What is prob of sequence zii?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3865 - -3865. Let g(h) = h**3 - 4*h - 22. Determine g(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-35280)\/(-200))\/(-42)*10\/3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-39)\/(-9) + 1\/(-3). Calculate the highest common divisor of 6 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of -3\/35*m**5 - 66\/7*m**2 - 15\/14*m**4 + 124 - 33\/7*m**3 - 60\/7*m. Let a(d) = 0. Calculate d.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87.29269 millennia in decades?\nAnswer: 8729.269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -3*o**2 + 3*o**2 + 0*o**2 + o**2. Let u(s) = 8*s. Determine u(m(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -311 + 383 + -103 + 3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(176\/(-76)) + 7\/(-28)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 7*x**2. Let v(q) be the first derivative of -4*q**3\/3 - 13. Give v(b(j)).\nAnswer: -196*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -79?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 231*y - 6. Determine b(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 0.175544?\nAnswer: 0.087772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 2*l - 48. Suppose 0 = -2*a - 2*a + l. Calculate the least common multiple of a and (-64)\/(-6) - 12\/18.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -2*i + 1. Let m be k(-1). Let b(o) = 3*o - 4. Let q be b(m). Suppose -5*p + p + 151 = s, -q*p = -4*s - 194. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 89 + 1?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -4464*a - 492. What are the prime factors of q(-2)?\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n = -3*n + 2*p - 30, -4*n = -4*p - 40. Suppose -5*s = 30 - n. Put 2, s, 2\/13, -0.4 in decreasing order.\nAnswer: 2, 2\/13, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 63099196012\/3497 + -18043808. Let u be 1080\/538 + 2\/(-1). Let g = n + u. Sort 0.5, 0, g.\nAnswer: g, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204)\/sqrt(24))\/(sqrt(2) + 2*sqrt(2)*-3 - sqrt(2)).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27.5 + -1.5. Let m = s + -4. Let j = m + -22.1. Which is the nearest to j?  (a) -2\/23  (b) 4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, -2, 6066, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 99166163 a multiple of 668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 b when four letters picked without replacement from {b: 3, g: 5, w: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*y = 30*y + 7*y + 456 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*r - 4 = -19*r. Sort 8, -1, r in ascending order.\nAnswer: -1, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 18*d**2 + 27*d + 26. Let q be l(-1). Let z = 121\/28 + -32\/7. Which is the closest to -0.1?  (a) z  (b) 2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y**2 - 13*y + 6. Let w be r(6). Suppose -p - 10*p + 319 = w. Calculate the remainder when 82 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -3. Suppose 189 = -21*j + 63. Let x be 9\/2*4\/(-24). Put j, x, q in descending order.\nAnswer: q, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 1 = 6. Let b be ((-2)\/(-2) + 0)*1. What is the closest to b in 3, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/19593 and 34\/28923?\nAnswer: 607383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2, 1011310, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00033567 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1971 a factor of 16261296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-15))\/((-6)\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*m - 267, 4*m = -3*h + 256 + 5. Calculate the remainder when h is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(539)*-1)**2 + sqrt(539) - ((-5 + sqrt(539)*2)**2 - sqrt(539))) + -1)*4.\nAnswer: -6556 + 504*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14154, -14202, -14266, -14340, -14418?\nAnswer: -14494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 659881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*w - 1826 + 1423 = 0 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 252 and 1011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 15645 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c**2 + 189*c + 740 = 0. Calculate c.\nAnswer: -185, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 3*c - 292 = -2*x, -x + 71 = c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 718 = 2*b, -3*p + 85 = 5*b - 434. Let z = -175 + p. Solve 2 = z*w - 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/463 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*1*6*(5 + sqrt(343)*2*-6 - (-1*sqrt(343) + -1 + sqrt(343) + 0))**2.\nAnswer: -18144*sqrt(7) + 889704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 + 346*w - 11662. Give h(31).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21992 = 35*a - 21537 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 3 + 2*g**3 - 12 - 50*g**2 + 0*g**3.\nAnswer: 2*g**3 - 50*g**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 84 and -0.61915417.\nAnswer: 83.38084583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.015, 17.07, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -10f (base 16) to base 8\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/6 and -16\/1017.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1948.1 + 1948. Let k = -0.6 + 0.4. Let d be 1 + (0 - (0 + 1)). What is the closest to k in o, 1\/2, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - c - 6*c - 8*c + 17*c as i*c + w and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112893783 is divided by 29029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 - 6*v - 30. Let t be k(10). Solve 0 = 5*x - t, -4*l + 2*x = -x + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 7*x - 9. Let z(u) = 4*u - 5. Let d(r) = -3*a(r) + 5*z(r). Let i(w) = w - 2. Determine 2*d(p) + 3*i(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 80, 447, 1062, 1925, 3036, 4395, 6002?\n\"Answer: 124*s**2 - 5*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -t - 84. Suppose 0 = 2*p + 5*c - 9, 0 = 3*p + 5*c - 5 - 1. Does 15 divide -8*p\/((-18)\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(11 + -9) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o = -22 - 69. Solve u + 2*n = 2, o = 4*u + n - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253 a factor of 941919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 50438961 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3*143\/(-39) - -19\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11867899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x - 20 = -13*x. Suppose -4*c = -x*c + 5*c. What is the closest to c in 0.1, -2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -8907\/2, 6 in ascending order.\nAnswer: -8907\/2, -1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 35*i**2 - 55. Let f(l) = -6*l**2 + 9. Let z = -84 - -59. Let d(g) = z*f(g) - 4*v(g). Differentiate d(b) wrt b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 4*f = -4*s + 4723, 5*f = 5*s - 4720. Suppose -d = o - 336, 4*o - d = 412 + s. What is o rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -cbbe + -5?\nAnswer: -cbc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 - 4*4\/(-4). Let v(j) = 12 + r*j - j + 5. Let u be v(-14). Solve -u*z - 2 = -5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 39 - 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(21)\/(sqrt(6)\/sqrt(2)))*-6.\nAnswer: -24 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 5:41 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/3 and 181\/3223140?\nAnswer: 3223140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k**2 - 3*k - 2. Let g be h(-1). Sort -2, g, 5 in increasing order.\nAnswer: -2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*f + 6*f. Let m(z) = -z + 1. Let d be m(-2). Suppose j + 2*j + d = 0. What is the nearest to j in f, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + z**2 - z + 2. Let m be r(0). Suppose 3 = 3*k, m*h - 6*h = -5*k - 2015. Suppose 3*s + 2*y - 1539 = -y, -s + h = -3*y. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -409 divided by 55.\nAnswer: -409\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000092654 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 194*t**2 + 1422*t**2 + 654*t**2 - 2*t - 127*t**2 to n*t**2 + h + q*t and give n.\nAnswer: 2143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 25.307+-0.09\nAnswer: 25.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 120, 121, 122?\n\"Answer: w + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1648 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 - 11*a + 31. What are the prime factors of t(-8)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*n = -22*n + 48. Let k = -5 - n. What is a in a**2 - 5\/3*a**k + 5\/3*a - 4\/3*a**4 + 1\/3 = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or 119457249?\nAnswer: 119457249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2387 and 10199.\nAnswer: 112189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -103 - -177. What is the tens digit of t\/6 - (-3)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 841\/9 + -94. Let c = q + 62\/63. Let k(l) = -l - 2. Let h be k(-4). Put h, c, 0.1 in decreasing order.\nAnswer: h, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 PM and 8:50 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 16*k - 3. Let u(i) = 2*i**2 + 13*i - 6. Let l be u(-7). Let m(n) = 4 - 5 - n + 2. Let d(w) = l*p(w) + 3*m(w). Let h(j) = -3*j**2. Give h(d(t)).\nAnswer: -507*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-7))**(1\/8)*k**(-36)*k*k**26*k assuming k is positive.\nAnswer: k**(-71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 11, 3, 0, 1 in increasing order.\nAnswer: 0, 1, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, 1, -5, -635514.\nAnswer: -635514, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 231 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 405, 1127, 2337, 4041, 6245, 8955, 12177, 15917?\n\"Answer: y**3 + 238*y**2 + y + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 25 - 16 - 6 + 971*t**2 as l + r*t + i*t**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -536, -4606, -15906, -38126, -74956, -130086, -207206, -310006?\nAnswer: -442176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*k + 2*k + 2*k + 24*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93 = -5*f + 768. Let q = -74 + f. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*q + 3. Let g be (-5 + 1)*(-1)\/q. Put -3, g, 4 in descending order.\nAnswer: 4, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + (-56)\/(-20))\/(876\/(-110) - -8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 2 + 0)*(0 + 2 - 3) + 5 - 4 + 11)*(-2*o - 2*o + 5*o).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fpipfppsscccsipfps. What is prob of picking 1 f and 1 p?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 8:49 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -3*z - 1. Suppose 5*q - 10 = -3*l, -3*q - 5*l + 4*l = -10. Suppose h = a + 4*a + 4, -a = q*h - 20. Put 1, z, -2, a in decreasing order.\nAnswer: z, 1, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/6774 and 5\/6308852.\nAnswer: 18926556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 190310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2  (b) 1\/96  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60461787 is divided by 54?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -75*z**3 + 3*z**2 + 3*z - 24. What is the tens digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v + 3*s + 47 = 0, -2*v = 4*s + 69 - 21 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 147137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*p + 118*p**3 - 1539 + 761 + 746 - 2*p wrt p.\nAnswer: 708*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i**2 + 4*i**2 + 0*i**2 + (-i + 0*i + 5*i)*(-12*i - 31*i - 32*i) + (i + 0*i + 0*i)*(1 - 1 - 3*i) in the form h*i**2 + g*i + o and give h.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1 - o + (0 + 2 - 4)*(4*o + 2*o - 5*o) + 6*o + 0*o + 2*o - o + 2*o + o + (0*o + 3*o - o)*(-6 + 3 + 1) in the form h*o + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 6)*(-2 + 2 - z)*(-29 + 5*z + 29).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/7)\/z**2)**(8\/5)*(z**(2\/7))**45\/((z**(5\/2)\/z)\/z**0) assuming z is positive.\nAnswer: z**(111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.8 + 0.2. Let k = 0.801 + -1.201. Is i > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 226\/7 - 222\/7. Let y be -5 - (-6)\/((-336)\/(-296)). What is the smallest value in c, y, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 2*z - 4 = 0, -l - 5*z - 4 = -2*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28 + 25. Which is the closest to t?  (a) -3  (b) -0.1  (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -8266*p**2 - 3*p + 4. Let b(r) = -3*r**2. Give s(b(m)).\nAnswer: -74394*m**4 + 9*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5120*i**2*m**3*v**2 + 2130*i**2*v**2 - 3*i*m*v - 17*i*v + m**3*v**2 + 14*m**3 + 5*m**2*v**2 + m**2*v + 5*m wrt i.\nAnswer: -10240*m**3*v**2 + 4260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 862692 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w = -17*w + 2156. Suppose b = 2*l - w, -l - b + 271 = -0*l. Let s = -177 + l. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-5)\/(-4) - 51\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-6))\/(54\/(-324))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g**2 + 139*g**3 + 3*g**2.\nAnswer: 139*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, q: 6}. Give prob of sequence qqdq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -2 + (-1 + sqrt(1573))**2 + 5 + 3 + -3.\nAnswer: -22*sqrt(13) + 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/13 - 1987\/13. Let x = z - -1531\/10. Which is the closest to 2?  (a) -2\/13  (b) -4\/7  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7780 + 318 = 287*p for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d + 7*d - 3*d + (-67 + 50 + 92)*(-d - 2*d + 2*d) to v*d + h and give v.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -244 plus 3.63?\nAnswer: -240.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -13381, -53552, -120503, -214234, -334745, -482036, -656107?\n\"Answer: -13390*p**2 - p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -21*f**2*q**2 + 1946621*f**2 + 3*q**2 + 8175*q wrt q.\nAnswer: -42*f**2*q + 6*q + 8175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 + (-45)\/(-21))\/((-32)\/(-28)). Sort 0.4, -2, m, -5\/4 in descending order.\nAnswer: 0.4, m, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 2*d + 76, -10 = d + 4*d. Suppose -m*v + 17*v = -587. What are the prime factors of v?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**20*h)\/h**(-9\/5)*(h**1*h)\/(h\/h**9))**(2\/3) assuming h is positive.\nAnswer: h**(328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*x**5 - 695*x**4 - 130*x**3 - 273183*x**2?\nAnswer: -120*x**2 - 16680*x - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 20 = -3*f + 5*k, k + 3 = -4*f. Let n be ((-9)\/6)\/(1\/(-2)). Let y(s) = -7 - s + 3 - 4 + s**2 - 3*s**3 + 4*s**n. Give y(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -5. Let 3 - f*t - 1 + t - t**2 + 0 = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -41 + -7 + 0 + -2 + -385 + 386.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 11*z**2 - 24*z + 200. Let h(r) = 5*r**2 - 13*r + 100. Let l(u) = -9*h(u) + 4*m(u). What is the remainder when 7\/(-2)*-4 + 0 is divided by l(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*i**5 - 34 + 34 + ((i**3 + 0*i**3 + i**3)*(0*i**2 - 3*i**2 + i**2) + 3*i**5 - 2*i**5 + 2*i**5)*(-1 + 3 + 1).\nAnswer: -11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14.1 + 14.159. Let y = 0.341 + k. What is the biggest value in y, 3\/4, -0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -7038*r - 84434. Suppose 4*x - 2*x = 1008. Calculate the remainder when x is divided by k(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 119 + -3?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -10011000110100110 (base 2) to base 14\nAnswer: -20730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 2, 0.39, 0.9, -5, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**3 - 4*m**3 + 0*m**3)*(2*m - 4*m + 3*m) + (-20484 + 20484 + 4034*m**3)*(-4*m + 5*m - 3*m).\nAnswer: -8070*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 AM and 10:28 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 37*a**2 - 7*a + 6. Let t(n) = 31*n**2 - 5*n + 5. Let d(z) = -4*b(z) + 5*t(z). Give d(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 - 14*q**2 - 34*q - 37. Let i be c(-12). Put 1, i, 5 in decreasing order.\nAnswer: i, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8024 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 882*u - 2645 = -2*c + 3*c, -156*c + 80*c = u - 79*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d (base 14) to base 4.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**2 + 41 - 3*m**4 - 44 + 0*m**2 + 4*m**2 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*m - 50 = -29 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90031 is divided by 1526?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - 12 - -2 - -6) + 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5237 (base 8) to base 11.\nAnswer: -2052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*t = 45*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1691)\/(-356) + 3\/(-4). Suppose 0 = -0*t + 2*t. Solve t*o - 7 = -5*o + b, -o + a*b - 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -300124 + 112?\nAnswer: -300012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97*y + 4*y + 0*y.\nAnswer: 101*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31080143.\nAnswer: 19, 131, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*o - 8. Let q = o - 6. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/((-224)\/63) + 1\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77*x + 113*x - 63*x - 26*x.\nAnswer: -53*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.58165 rounded to one decimal place?\nAnswer: 41.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1869)\/(-9))\/((-15631)\/6699)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35126 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2811757 divided by 18?\nAnswer: 2811757\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 35796863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -u - 26. Suppose 577 = 4*f - 3*z + 52, -5*f = u*z - 690. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15025 + 15089. What is the remainder when (-17 - 1)*63\/(-6) is divided by x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -3*b**2 - 2*b**2 + 6*b**2 + 7*b**2 + 2*b. Let o(c) = -7*c**2 - 2*c. Let w(p) = 5*o(p) + 4*u(p). Find the second derivative of w(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -13*x**2 + 4*x - 4. Let c(g) = 3*g**2 - g + 1. Let z(p) = -9*c(p) - 2*u(p). Give z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (185*o - 185*o - 13*o**2)*(-19 - 12 + 5).\nAnswer: 338*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1047562.3081 - -125.6919. Let a = 1047693.39939 - o. Let j = 5.4 - a. Round j to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 - 6*v**2 - 5*v - 3. Let m be c(4). Let q be (-2)\/(-11) + (-430)\/m. Solve -o = -3 + q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10636 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of m**7\/5040 - m**5\/6 + 7*m**2. Let g(w) be the third derivative of k(w). Let i(c) = -11*c. What is i(g(x))?\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.7  (b) 1  (c) -2\/15  (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -7*b**3 - 2*b**2 + 1. Let l be j(-1). Let z be 0*3\/l*1. Suppose 2*c + 2*g - 332 = z, -2*c - g - 3*g = -332. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 2, -b - 3*f + 4 = f. What is the tens digit of 11\/11 - b\/1 - -99?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -15*n**2 - 90*n - 162. Let c(w) = 2*w**2 - 2*w - 5. Let y(v) = -6*c(v) - j(v). Factor y(s).\nAnswer: 3*(s + 2)*(s + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42\/(-312)*2912\/(-3136)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - 3*f + 2. Let g be u(3). Suppose 9 + g = q. Suppose -4*j + 36 = 4*w, 4*w - 28 - q = -5*j. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-55 + 55 + 4*f**2)*(2*f**3 + 2*f - 2*f) + (-2*f**4 - 3*f**2 + 3*f**2)*(2*f + 0*f - f) + 0*f**5 - f**5 + 2*f**5.\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12240)\/(-1785))\/(18\/(-168)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.8 + -0.9. What is the closest to j in -3\/5, 2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 - 24*d + 6198. List the prime factors of i(0).\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/14 and 3\/784.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -33*s**3*v**3 + 2*s**3 - s**2 + 90*s*v**3 - 4102*v wrt v.\nAnswer: -198*s**3*v + 540*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s = 5*s + 8. Suppose 4*d + 7 = -3*n, 4*n - n - 25 = s*d. Let p = n - -2. Calculate the remainder when 9 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*t**4\/4 + 187170*t**3 - 6762061*t**2\/4 + 127053*t\/2 = 0.\nAnswer: 0, 2\/53, 9, 14117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -7, 10, 5, 8 in decreasing order.\nAnswer: 10, 8, 5, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 16142520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76*k**3 + 156*k**3 - 81*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {p: 1, q: 1, v: 1, n: 1, l: 2, g: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of -j**5\/30 - j**4\/6 + 4*j**2\/3 + 65*j. Factor m(a).\nAnswer: -2*(a - 1)*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -55578319*j**3 - 1163356*j**2 - 12 wrt j?\nAnswer: -333469914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10110 + -0.068.\nAnswer: 10109.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1142 divide 971798604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -240 + 384. Suppose r = -130 - h. Let s = r + 465. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/117 and 131\/30.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-282)\/6)\/((392\/(-28))\/14)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.4, 105 in ascending order.\nAnswer: -5, -0.4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6784051918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 116749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 0.3, -17, -2\/7, -3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 627771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 634 in 4, 32\/3, 1\/52?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -146*b**2 - 290*b + 4. Calculate l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144069 is divided by 35966.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70, -126, -200, -298, -426, -590, -796?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 18 = -3*b, -2*y = -b - 14 - 2 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -85 greater than or equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 - 11*x. Suppose -22 = -4*r + 2*r. Let q be b(r). Factor 1\/2*y**4 - y**3 - 1\/2 + q*y**2 + y.\nAnswer: (y - 1)**3*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/21)\/((-5)\/15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35 - 142*i - 125*i - 130*i - 118*i + 467*i.\nAnswer: -48*i - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -59*d**5 - 2*d + 26*d**5 - 46*d**2 + 72*d**2 wrt d.\nAnswer: -1980*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 15*x - 170. Give y(13).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, t: 7}. Give prob of sequence qttq.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 171  (b) -0.5  (c) -4\/3  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -320 - -377. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/184 and -137\/24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 3.6. Let m = 1.3 + i. Let a = m + -0.3. What is the closest to -0.2 in a, 5, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7\/21*3\/(-1)*-3. Suppose -s*j + 82 = -182. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ovrv when four letters picked without replacement from {v: 3, o: 4, r: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1595555270 + 19.\nAnswer: -1595555251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -14, 1.9, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 2*x = -3*y + 15, -3*x + 54 = 4*y. Put 4, -6, y, -5 in ascending order.\nAnswer: -6, -5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d**6 - 12*d**3 - d**2 - 14?\nAnswer: 240*d**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -4 + v + 2*v**3 + 2*v**2 + 4. Let f = 0 + -1. Let k be h(f). Is k smaller than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 21945248, 43890494, 65835740, 87780986, 109726232, 131671478?\n\"Answer: 21945246*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35 + 20 + 21)*(-10*t + 10*t + 10*t).\nAnswer: 760*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 3*m**3 - 10*m**2 + 17*m - 6. Let i(b) = 4*b**3 - 15*b**2 + 25*b - 9. Let g(d) = -7*h(d) + 5*i(d). Calculate g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 1024.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 90722.7 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**3\/5 - 474*s**2\/5 - 978*s - 2470 = 0.\nAnswer: -5, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/(18870\/(-34))*2*-1?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -55*h. Let u(p) = -7773*p. What is u(j(d))?\nAnswer: 427515*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7\/6 + 5\/6. Let p = 194 + -63. Let a = 130.5 - p. What is the closest to 1 in a, i, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1308463 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 77*a**2 - 12*a - 8 - 54*a**2 + 7 wrt a.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 114246 and 792?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 866 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhvvhhvhvhhhv. Give prob of picking 3 v.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 8:58 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zxxx when four letters picked without replacement from {x: 8, z: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of 0*o**6 + 0*o**2 + 0*o**3 - 19\/12*o**4 - 11\/21*o**7 + 0*o**5 + 14*o + 0. What is the third derivative of q(f) wrt f?\nAnswer: -1320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0*i = 10. Suppose 4*j - 43 = x, -i*j - x + 38 = 3*x. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9469 - -9550. What is the smallest common multiple of h and 783?\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 791 a factor of 45126032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3933 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 65715101 to the power of 1\/2, to the nearest integer?\nAnswer: 8106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 14*y + 10*y = -602, 2*r = y + 1186. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 - 2*r**2 + 3*r**2)*(3*r**2 + 55*r**2 - 10*r**2) + r**2 + 3*r**4 - r**2.\nAnswer: -45*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(11) + ((sqrt(11) + 3 + sqrt(11))*-1 + sqrt(11))**2) + sqrt(22)\/(sqrt(2) - sqrt(162)*4).\nAnswer: 100 + 1224*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 2 c when four letters picked without replacement from {x: 1, e: 1, c: 5, d: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 108\/(-30)*(-3)\/(12\/10). Factor -14*b**3 + 13*b**3 - 7*b - b**2 + h*b.\nAnswer: -b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-11)\/(-33))\/(2\/6). Let b be 717\/(-132) + q - -3. Let y = 2\/11 + b. Put y, 2\/13, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/3, -13, 0.6?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p - 7 = p. Let g be (-38)\/(-8) + ((-3)\/4 - p). Solve g*f = -1 - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.8, 13\/2, -3, 2854, 7 in descending order.\nAnswer: 2854, 7, 13\/2, 2.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2*f - 12. Let h(l) = -6*l + 38. Let x(m) = 6*h(m) + 19*y(m). Let v(j) = -31917*j. Determine v(x(u)).\nAnswer: -63834*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3745 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 24 = 4*j, 24 = -4*q - 5*j - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 + -9. Solve 0*r - 2*r - m = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -t + 28. Suppose 0 = -2167*f + 2177*f - 80. Solve f + t = -3*x, -5*n = -5*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -4*(1*sqrt(1694)*-2)\/(((sqrt(14) - sqrt(126)\/(sqrt(144) + sqrt(9))) + sqrt(14))\/sqrt(7)) + -3.\nAnswer: -2 + 440*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.827391ms to seconds.\nAnswer: 0.000827391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.31 - -0.3022. What is u rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-144)\/(-2)*(493\/174 + 14\/(-6))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -4, -145, 22, 1 in descending order.\nAnswer: 22, 6, 1, -4, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 2*o**2 + 98. Determine d(0).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2055 and 27537?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2839 - 1010. What are the prime factors of b?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -63*y - 38. Let o be s(-6). Suppose -k = -4*t - 266, 2*k = -t + 237 + o. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -323 - -871. Let h = 880 - g. Suppose 5*z - h = 3*z. What is z rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p = 5*p - 3*l + 21, p - 3 = -3*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 71 - 61. Find the second derivative of b*t - 2*t**3 - 133 + 66 + 67 wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -115*z**2. Let g(p) be the second derivative of -5*p**3\/6 + 398*p + 1. Give g(q(h)).\nAnswer: 575*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/12)\/(210\/6300*4*20)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -67 in -0.0083, 1, 3\/2?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2\/5 + 8311884*i\/5 - 8635926953682\/5.\nAnswer: -2*(i - 2077971)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 105 divided by -556\nAnswer: -105\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7448718 - -3?\nAnswer: -7448715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of -619*h**5\/4 - h**4\/4 + 115*h**2\/2 - 3086*h. Find the third derivative of t(i) wrt i.\nAnswer: -18570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2220915.9 rounded to the nearest 1000?\nAnswer: 2221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22102*g + 21562*g - 43669*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*4\/((-384)\/18)*32\/(-1944)*-9?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 7*n + h + 16, 3*n - 3*h = 0. Let v(c) = -6*c**2 - c + 4. Let f be (4\/(-22))\/(196\/(-7546)). Let p(k) = 11*k**2 + 2*k - 7. Give f*v(r) + n*p(r).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 - 3*w**2 + 2*w + 3. Let y be (9\/(-6) + 0)*2. Let l be r(y). Let u = -0.1 - -0.2. Which is the second biggest value?  (a) l  (b) 5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -492, -924, -1352, -1776, -2196, -2612, -3024?\n\"Answer: 2*i**2 - 438*i - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**11\/(u*u\/u**19))\/(u**1*(u**33*u)\/u) assuming u is positive.\nAnswer: u**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -44  (b) 2\/11  (c) 4  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33 - (9 - 9)) + 6 - (1 + -3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 163 = 5*u + 3*s, -3*s - 82 = -4*u + 43. What is the lowest common multiple of u and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 45 = 5*d, 0*d + 2*d + 36 = 5*m. Solve 0 = r + r + 2*l + m, 0 = -5*r + 4*l - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 861b (base 13) to base 9\nAnswer: 27472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49, -62, -83, -112, -149, -194?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 23 + 19. Suppose -5*z = -0*z - 2*j - 28, 0 = -2*j + a. Calculate the greatest common divisor of z and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -x + 2*x. Suppose -5*c = -c - x. Is 6 a factor of c\/2 - (-10 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22 * 33.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3\/3 - 224*o**2\/3 + 3136*o\/3.\nAnswer: 4*o*(o - 28)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6559668720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -348.2 * -3.41\nAnswer: 1187.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 266837554 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8599793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -4*v + 15. Let k(m) = -m**2 - 2*m + 1. Let f be k(-1). Suppose -14 = 4*j - 8*j - f*b, -5*b = 5. Give r(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -66.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/13499 or 86?\nAnswer: 2\/13499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.18506063248 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 565 and 343181.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8587230 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, z: 5, e: 7, i: 5, o: 1}. What is prob of picking 1 i and 1 g?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 107280 - 435020402\/4055. Does i = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of v**4\/4 - v**3 - v**2\/2 + 4. Let k(s) = s**3 - 2*s**2 - 2*s. Calculate 3*k(y) - 2*t(y).\nAnswer: y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of q**2\/2 - q + 3. Let j(r) = 4*r - 5. Let h(w) = 5*a(w) - j(w). Let t(g) = -5*g. Determine t(h(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zbfooopzmzzpzbz. What is prob of picking 2 z, 1 o, and 1 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = 2*t - 274 + 254, 4*h + 80 = 4*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/5 + 16*b\/5 - 39\/5.\nAnswer: -(b - 13)*(b - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 778*v + 37. Is l(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 285*s**2 + 97*s + 98. What is the remainder when g(-1) is divided by 95?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2193905, 8775619, 19745143, 35102477?\nAnswer: 54847621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -44  (c) -4  (d) -2\/33  (e) -0.89  (f) -59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 63150 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**2 + b - 1. Suppose 5*r - i - 9 = 0, r - 5*i + 0*i - 21 = 0. Let m be u(r). Is (m\/4)\/((-5)\/(-4090)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - 17*t + 22. Let j be k(14). Let x = 6 + -12. Let y = x - j. 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: b\"What is the uth term of 1377, 2216, 3055?\n\"Answer: 839*u + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-142)\/1207 + ((-555)\/51 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2226, -4447, -6666, -8883, -11098, -13311, -15522?\nAnswer: -17731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-38)\/3)\/(-73*(-1276)\/101616*2\/(-11))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**2 - 116*u**2 - 22*u**2)*(-3*u + 0 + 6*u - 2).\nAnswer: -414*u**3 + 276*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.9 - 3.9. Let t be (2\/16)\/((-2)\/4). Is t at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -1, 0.4, -2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, 14, 5, 4, 2 in increasing order.\nAnswer: -35, 2, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*c**2 + 14020643212 + 5*c**3 + c - 14020643212 + 20*c**2 - c.\nAnswer: 5*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(768) - (sqrt(1200) - (sqrt(1200) - (sqrt(1200) + (sqrt(1200) - sqrt(1200)*-2)))))\/(sqrt(54)\/(sqrt(9)*1) + sqrt(48)\/sqrt(200)).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28\/5*z - 7\/5*z**3 - 8\/5 + 2\/5*z**2 = 0 for z.\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/((-1)\/8 + 0). Suppose 2*o + 4*n - 4 = 0, -o - 2*n + 6*n = -v. Suppose o*a - 140 = w - 4*w, -2*w = -2*a + 84. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 690*j**2 - 6*j + 4. Let u be c(3). Suppose -4*v + u = -v - 5*l, -4*v - 4*l = -8240. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0765 - 4.9235. What is the nearest to -1 in q, -0.063, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*(-4)\/27 + (3584\/(-72))\/14. What is the second biggest value in 27, o, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50755, -101508, -152255, -202996, -253731, -304460?\nAnswer: -355183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 + 0*a + 0*a)*(-3 - 1 + 7) + 3*a**2 - a**2 - a**2 + (2*a + 0 + 0 + (4 - 2*a - 4)*(1 - 6 + 3))*(-a + 2*a - 4*a).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-280)\/(-21)*54\/675*15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162689121.\nAnswer: 3, 7, 860789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -108 - -110. Put 2.9, -1\/2, c in descending order.\nAnswer: 2.9, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -13, -0.64, 2?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -49 + (-857 - -911)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.24 and -37?\nAnswer: 8.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeaooooukokyyooeeoyy.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2494, -600, -3698, -6800?\nAnswer: -9906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - b + 5 + 228 = 0, 0 = -3*a - 2*b + 171. Let s = -29 + a. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 703*n + 10682. Give j(-15).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(0 + sqrt(2) + 0 + 5)*1.\nAnswer: 4*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (267\/(-2))\/(3 - 63\/18). Factor h - 2*b**4 + 2*b**3 - 267.\nAnswer: -2*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6\/16)\/(39\/(-52)))\/(12\/18).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 40 = 16 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 6.3, 0.0473, 1\/2, 4, -5, -1 in descending order.\nAnswer: 6.3, 4, 1\/2, 0.0473, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100212 (base 3) to base 16.\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 14*q**2 + 13*q - 1. Let g(w) = -50*w - 1437. Let l be g(-29). Determine z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*h + 22*h - 63 = 0 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d - 256 = -56. Suppose -16*z - d = -20*z. Suppose 0 = z*n - 6*n + 9. Solve -q + 5 = -5*t + 4*q, -5*t - 2*q = -n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9 + 5 + (-15 - -5). Let v(c) = 67*c**3 - 9*c + 9. Let a(m) = -34*m**3 + 4*m - 4. Determine w*v(q) + 9*a(q).\nAnswer: -38*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 55 - ((-15)\/(-3) + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 102162, 90, 13 in descending order.\nAnswer: 102162, 90, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + 2 - 14. Suppose 3*o - 5*o + 4*q = -10, 2*o + 4*q - 42 = 0. Solve f - h*w + o = 0, -2*f = -5*f + 5*w - 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-51)\/68)\/((-21)\/1764). Suppose 24 = n - 40. Which is greater: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1891 - -208. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -21595*w - 3. Let s(a) = 2*a**2. What is s(j(y))?\nAnswer: 932688050*y**2 + 259140*y + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 5, c: 2}. Give prob of sequence cvcv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28*5\/(-5)*44\/(-154)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**3 + 3*g**3 - g**3)*(8 - 8 - 4*g**2 + (-2 + 4*g + 2)*(-2*g - g + g) + 0*g**2 + g**2 - 2*g**2 - 2).\nAnswer: 13*g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of 2\/15*g**5 + 0*g + 0*g**4 + 0 + 1\/6*g**3 - 4*g**2. Calculate y(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*h + 35 - 27 + 1 to the form q*h + x and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -11*x**2\/2 + 95. Let l(v) = 10*v**2. What is l(m(k))?\nAnswer: 1210*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/3 - (-2 - -3). Let o be (-1)\/(-2) - (-36)\/288*8. Which is the nearest to z?  (a) -0.06  (b) o  (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 6) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -6*r**2 + 6*r - 87. Let p(s) = s - 1. Determine o(d) + 6*p(d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 1584 = -21*i. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2344347208?\nAnswer: 2, 7, 233, 179671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6977 + -0.030466864.\nAnswer: 6976.969533136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 1.49, -8.\nAnswer: -8, -0.4, 1.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {r: 1, x: 9, m: 1, u: 2}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 PM and 12:08 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-22))\/(-1*9\/12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33070 = -17*u + 89323. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2352 - -552?\nAnswer: 3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 4286*o - 159. Let w be t(20). Suppose -31*s + 24*s = -w. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.08078529 to 4 dps.\nAnswer: 0.0808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 7 + 3 + (-9 - (28 - -30))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -637 - -639. Suppose l - 14 = -3*s, 3*s = l - s + 14. What is the remainder when f\/(l*2\/64) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/37020 and -93\/4244960.\nAnswer: 12734880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -91 + 93. Which is the closest to -1\/3?  (a) p  (b) 3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70013?\nAnswer: 53, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1433190 is divided by 34122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 3 j when four letters picked without replacement from {j: 3, t: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -714156 = -8*g + 2366708 - 123264. Round g to the nearest one thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 95, 329, 723, 1283, 2015, 2925, 4019, 5303?\n\"Answer: i**3 + 74*i**2 + 5*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -4, 3, -5\/3, -1 in descending order.\nAnswer: 7, 3, -1, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 5*y + 18. Let l be i(-3). Let a(o) = -o**3 + 39*o**2 - 36*o - 73. Let h be a(38). Solve h*v = -l - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2854250 and 261?\nAnswer: 744959250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14416 + -7494. Suppose s = 20*u + 2562. List the prime factors of u.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -6*o + 59 - 44 - o**3 + 13*o**2 - 5*o - 27. Let r be h(12). Find the second derivative of r*y**5 - y**5 - 15*y + 2*y - 10*y**5 wrt y.\nAnswer: -220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 5*u**2 - 93*u - 3. Calculate j(19).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, z: 2, b: 1, f: 1, w: 1}. Give prob of picking 1 f and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/8*(-443232)\/203148.\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*m - 10. Let x = 39 - 24. Suppose m*l + x = 6*l. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -5*k + 13. Let j be t(3). Let q be (j\/6)\/(((-16)\/24)\/2). Let s be (q - 5 - 1) + 8. What is the biggest value in 6, s, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3963, -3997, -4007, -3993?\n\"Answer: 12*b**2 - 70*b - 3905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 30 - (30 + -16) - (0 + -9 + -3)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o**2 + 534*o - 8285. Let n(t) = -18*t. Determine n(q(h)).\nAnswer: -36*h**2 - 9612*h + 149130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 7*k**2 - 6*k - 1. Let z = 5 - 10. Let f be p(z). Let q be (6\/(-2))\/(f\/14). Solve 0 = -q*g + g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a, 5*r = -5*a + 11 + 19. Let l be -3 + r\/(-8)*-4. Suppose -4*x + 12 + 94 = k, l = -x - 3*k + 32. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 AM and 3:18 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1224 and (-21168)\/(-490)*10\/4.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-315)\/(-14))\/(-5))\/(-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -264\/1325 - 1\/1325. Which is the third biggest value?  (a) 0.04  (b) g  (c) -4  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -47 and -393832.93?\nAnswer: 393785.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9079)\/(-254212))\/(9\/8)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -252\/1717 + 8807501\/6868. Let n = c + -1281. Factor n*g**2 + 9\/2 + 33\/8*g + 1\/8*g**3.\nAnswer: (g + 3)**2*(g + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-153)\/8)\/17*(-22)\/(-99)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (-78 - -78 - (1 - -25)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 96, 26 in increasing order.\nAnswer: -8, 26, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.5 and 175.6.\nAnswer: 175.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2 - 8*z. Let g be u(-6). What is the common denominator of 151\/12 and 122\/(-20)*30\/g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*b = -19*b + 1049. Let h = b - -860. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 38, -53, -14?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.5 - 0.5. Let g = -695\/4 - -174. What is the nearest to g in 6, x, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 2.94. Let z = -0.04 - k. Let f = -0.029 + z. Round f to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/10)\/((-192)\/(-720))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.3 - 0.2. Let p = -293 - -298. Suppose 2*r - 7 = -p. Sort r, b, -0.1, -0.3 in decreasing order.\nAnswer: r, b, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -20. Let n = 17.9 - o. Which is smaller: n or -0.08?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1105565454 from 12192.\nAnswer: 1105577646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12818, -51191, -115120, -204599, -319622, -460183?\nAnswer: -626276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -820467 times 3\nAnswer: -2461401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -95 + 101. Let m(p) = 5 - b*p - 16*p - 2*p**3 + 26*p - 7*p. Let r(d) = 1. What is -m(z) + 4*r(z)?\nAnswer: 2*z**3 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -22. Suppose o*u + l = 4*u + 72, 5*l = 10. Suppose 0 = -2*g - 5*m + u, 2*g + 2*m = -0*g + 8. Sort -3, g, 0.\nAnswer: -3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssjuy. What is prob of sequence jss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 71d2?\nAnswer: -71d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**2 - s. Let p be v(-2). Let c(r) = 27*r - 6. Let d be c(p). Suppose -15*k = -19*k + d. Calculate the highest common factor of k and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -715673*i**2 + 238192?\nAnswer: -1431346*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -286*m**2 - 3 - 297*m**2 + 17*m - 22*m. Let s be v(-2). Let a = s + 11568\/5. Calculate the common denominator of a and -35\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -0*q + 2*q. Suppose -i - 2*i = d - 32, -q*d + 34 = i. Solve -i*s + 4*s = 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 2\/11, -448, 2\/3, 0.1, 3\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.9 and 2105.\nAnswer: 2105.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 0.02, -1, 2024, 0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 6*j - 5. Let o(i) = -i**2 - 2*i + 6. Let c be o(-2). Give r(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 34086 + -34075. Let i(l) = 8*l**3 + 19*l**2 - 6*l - 6. Let r(p) = -15*p**3 - 38*p**2 + 11*p + 11. What is c*i(s) + 6*r(s)?\nAnswer: -2*s**3 - 19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -10*h + 8. What are the prime factors of f(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 44*z - 45*z - 27 = -84*z, 4*v = -7*z - 46 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 10:22 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 8177861 times 0.1\nAnswer: 817786.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.008638 and -1.\nAnswer: -0.991362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 186 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - 3*m + 2*m)*(-2 + 2 + 1) + 8*m - 10*m - 11*m - 3 - 2*m + 3 + 919 - 35*m - 919.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7 + 2205524?\nAnswer: 2205517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 419 and -12.96.\nAnswer: -5430.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 93 = -33. Let m(q) = 13*q - 7. Let s be m(12). Let r = -104 + s. Calculate the remainder when r is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3071320 to the power of 1\/2, to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - u = 5, 3*r - 5*r - 4*u = 20. Suppose -63*w + 65*w - 4 = r. Solve -5*v + 22 = -3*k, w*k - 2 = -0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -289*g - 3. Let u(b) = 288*b + 4. What is 4*q(o) + 3*u(o)?\nAnswer: -292*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 13235569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 176194 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-4)\/m)\/(m*m\/(m\/(m**(2\/23)\/m)*m)))**(34\/7)*(m\/(m*m**(-1\/2)))**(-2\/115)\/((m*(m**(1\/3)\/m)\/m*m)\/m*m**(-1\/2)) assuming m is positive.\nAnswer: m**(-90287\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 699185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(8) - (sqrt(648) - (sqrt(648) - sqrt(648)*-3)))\/(sqrt(20)\/sqrt(5)*4).\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 8060, 457 in ascending order.\nAnswer: 0.2, 457, 8060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 642*p + 154*p - 7274 - 216 = 470 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**2 - 4415*x - 49170.\nAnswer: 5*(x - 894)*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 734, 4, -4, -2, 3, 177 in decreasing order.\nAnswer: 734, 177, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes before 4:11 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3143 (base 6) to base 14\nAnswer: -38b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddddddndddd. Give prob of sequence nd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = v - 2*v. Let g = v + 15. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.1 - -0.9. Sort -4\/7, 0.3, h in increasing order.\nAnswer: -4\/7, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4212) + -2*sqrt(4212) + sqrt(4212))\/sqrt(4) + 4 - ((2*sqrt(78)*-1)\/((sqrt(270)\/sqrt(5))\/sqrt(9)))**2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -159, -340, -531, -738, -967?\n\"Answer: -d**3 + d**2 - 177*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 + 7*x**2 + 5*x - 7. Let h be d(-6). Let v = 26 + h. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 5*c = 11, 0 = j - 5*c + 16. Suppose 0*a + 5*a = -250. Let v be (-10)\/4*(-8)\/a. Is j >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1127a78 (base 11) to base 15\nAnswer: -28e6a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 17 + 16. Let k = d + -58. Let q = 40 + k. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 666102 and 131.671.\nAnswer: 666233.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -121702 and -0.05?\nAnswer: 6085.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 1 + 3)*(3*f + 0*f + 6*f)*(128 - 71 + 69) - 2 + 2 - 2*f as y*f + g and give y.\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - 570224214?\nAnswer: -570224213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4880417459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 63 + 63 = 0. Put -29, -1, 1, v in descending order.\nAnswer: 1, v, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8423211 and 1598.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8618*g**4*z - 4346*g**2*z - 2*g**2 wrt g?\nAnswer: 206832*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-36)\/48)\/(5259\/5260 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pyy when three letters picked without replacement from {y: 7, p: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -206\/13 - 612\/13*d**2 + 200\/13*d**3 + 2\/13*d**4 + 616\/13*d = 0. What is d?\nAnswer: -103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -8*d - 1. Let p(z) = 378*z + 42. Let b(j) = 42*i(j) + p(j). Let t(f) = 6*f. Determine b(t(m)).\nAnswer: 252*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*a = 923 - 4808. What are the prime factors of a?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jxtppqquxxtp. What is prob of picking 1 j, 2 p, and 1 u?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -16, 4, 1 in increasing order.\nAnswer: -16, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2623 = -2*c - 5*a, -5*a + 7286 = 5*c + 721. Round c to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + w**2 - 1. Let m(y) = 16*y**3 - 12*y**2 + 6*y + 18. Give -m(v) - 12*x(v).\nAnswer: -4*v**3 - 6*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16631 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-2)\/10*(-115)\/161).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 291565398 a multiple of 1828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f - 4*f - 64. Let z be (-6)\/8 - 492\/f. Solve -2*t - q - 11 = 3, -2*t - z = 5*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/369, -4, 0.3, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/(-4)*8\/5. Suppose -4*h + c*q = -1 - 3, -16 = -2*h - 5*q. Let k(n) = 5*n**2 - 14*n. Let p(a) = -2*a**2 + 5*a. Determine h*k(v) + 8*p(v).\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18210734, -36421466, -54632198, -72842930, -91053662?\nAnswer: -109264394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 10 = 9*w + 28, 4*w + 6 = -2*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 75\/1 + (-1306032)\/17576.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4481*i**2 - 7088*i**2 - 1265*i + 4309*i**2 - 5252*i wrt i?\nAnswer: 3404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -301 + 300.8. Let p = 0.026 + 0.364. Let q = p - -0.01. What is the third biggest value in s, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.395896612 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 3*l**2 - 2*l + 3. Let p = 28 + -25. What is w(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*r**2 + 92*r + 1320 = 0. What is r?\nAnswer: -10, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 23 = -3. Let a(o) = -6 - 9 - 52*o + s. Is a(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39303587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m + 3. Suppose -h - 4*h - 10 = -2*i, -i = h - 5. Let p be y(h). Suppose 2*s + p*s - 5 = 0, -2*g + 5 = -5*s. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -11. What is the third biggest value in j, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(810))\/(5*sqrt(5)*3).\nAnswer: 9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 338 + -350. Let k(j) = 11*j - 29. Let r(m) = 11*m - 28. Let c(y) = -4*k(y) + 3*r(y). Is 34 a factor of c(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*((j\/(j\/(j*j*(j*j*j**(-17)\/j*j)\/j)))\/j)\/j*j**(-3\/2)*(j\/(j**(5\/3)*j))\/j**(8\/5))**(-26) assuming j is positive.\nAnswer: j**(7709\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*232\/(-696)*3\/120?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/49, 5, -0.03 in ascending order.\nAnswer: -0.03, 2\/49, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 3*b - 11, -7*u + 2*u = -5. Suppose 3*m - 2*m = -5*c - 11, -b*m = 4*c - 4. What are the prime factors of m - (-18 - 6\/(-2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*g**4 - 10*g**4 + 7*g**2 + 17*g**4 + 4*g**2 wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11352 + -11356. Let v(s) = 3*s**2 - 11*s - 29. Let q(l) = -l**2 + 4*l + 10. Calculate p*v(d) - 11*q(d).\nAnswer: -d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*y**4 - 6 - 4*y + 221*y**2 - 117*y**2 - 108*y**2 + 6*y**2 in the form d + u*y**4 + a*y + m*y**2 + s*y**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 530.8616 meters?\nAnswer: 53086.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/28)\/(2 - (-9)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - 0) + 0 + 0. Let h = 194 - 196. Sort 0.01, h, a in ascending order.\nAnswer: h, 0.01, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(12\/13)*m*m**(-5)*m assuming m is positive.\nAnswer: m**(-27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 1125, -0.8, -4, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -315 = -3*h - 3*r, 290 = 2*h + h - 2*r. Suppose 122 = 2*q - h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*f**2 - 3*f**2 - 2*f**2 + 2*f**2 - 14*f to the form s + o*f + y*f**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(-2) - (-18)\/(-16). Let w = 52\/3 + -18. Which is the closest to -1?  (a) -1  (b) w  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 240, -2, -1744 in increasing order.\nAnswer: -1744, -2, 27, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 4\/5  (b) -1\/7  (c) -1.42  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 6*r + 2. Let u(c) = 6*c + 2. Suppose -p - 4*m - 10 = 0, 0 = 5*p + 2*m - 12 - 10. Let j(n) = p*t(n) - 5*u(n). What is the derivative of j(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pcr when three letters picked without replacement from pecnirr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (66*f - 25*f - 7 + 4 + 193*f)*(-518 + 161 + 32) to the form i + v*f and give v.\nAnswer: -76050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 1670*y**3 - 3*y**2 + 43*y - 13. Is m(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 83*z**2 + 373*z - 38018. Give u(82).\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 52303079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 302 a factor of 6970764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12915)\/(-49815))\/((-2)\/(-12)*7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -8*c**3 + 130*c**2 - 14*c - 2. Let m(r) = 12*r**3 - 209*r**2 + 21*r + 3. Calculate -8*f(j) - 5*m(j).\nAnswer: 4*j**3 + 5*j**2 + 7*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**3 + 3*z**3 - z**3)*(30477*z - 60574*z - 1 + 30652*z).\nAnswer: -555*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 16 = 6*d. Let m be -1*3\/5 + (-14)\/10. Let o(z) = -3*z**3 + 2*z**2 + 2*z - 1. Let b(j) = -10*j**3 + 7*j**2 + 7*j - 4. What is d*o(s) + m*b(s)?\nAnswer: -s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.3  (b) 3  (c) -2\/13  (d) -0.2  (e) 0  (f) -7.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -16 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.473 + -4.463. What is the closest to t in -0.5, -5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-21)*2*3. Let b = -4 + -11. Let i = -17 - b. Put i, s, -1\/3 in decreasing order.\nAnswer: s, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 288 = 4*o + 32*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5538 and 37914.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/(-2)*1\/2. Suppose -a + 0 = -n. Suppose -a*l = l - 33. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) 813  (c) 0.0462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 + 11*k**2 + 8*k - 2. Let o be s(12). Let t = -11 - o. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -7. Suppose 4*a - n*v + 1 = -1, -3*v + 9 = 0. What is a rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-3 + sqrt(612) - sqrt(612)) + 0)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -112237 + 174237. Suppose 3*z + i = z. What is z rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-359)\/(-72) + (11 - 15). Let m be (-14)\/18 - 1\/3. Let u = m + w. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 260 - 112 = 37*t. Let u(k) be the second derivative of 1\/4*k**5 + 0 + 15\/2*k**2 + 5\/12*k**t + 9*k - 25\/6*k**3. Factor u(p).\nAnswer: 5*(p - 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {f: 1, w: 1, u: 1, c: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(432))*2*1)**2 + (sqrt(432) - (sqrt(432)*-1 + 5))**2 + 2*(1 + sqrt(432)))*5 + -3.\nAnswer: -120*sqrt(3) + 17492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (2 - 1) - 2 - 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of q**5\/120 - q**4\/48 - q**3\/2 - 11*q**2. Factor x(t).\nAnswer: (t - 3)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*p + 34 = 26*p - 30*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38469393 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 + m**2 + m + 2. Let h be k(0). Let a(g) = 9*g**2 + 3 - 4 - h*g + 2. Is 8 a factor of a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -304*z + 3 + 149*z - 3 - 36*z.\nAnswer: -191*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 858 + -891. Sort s, 0.5, -1, 0.\nAnswer: s, -1, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**2 + 271143*z + z**2 + 2*z**3 - 271093*z.\nAnswer: 2*z**3 + 50*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in 0.4, 0, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5709)\/173*(-756)\/693.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17708521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d + 13. Let w = 34 + -36. Suppose 3*f - 5*h = -2*f, f + 4*h = 25. Let o(y) = 4*y - 4 - 10 - f*y + 10. What is w*v(u) - 7*o(u)?\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 370099680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 64985 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 5:47 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1243890 is divided by 100.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2\/7, -5, -239.9, -3 in ascending order.\nAnswer: -239.9, -5, -4, -3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4*714\/(-56) + -11*1. Solve -5*r - 2*v - 27 = 0, -6*r + 3*v = -2*r + q for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 185 and 305842?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-18 + 13 + -11)\/(2*-1). Solve 4*w - g = -o, o = -0*o + 3*w + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20113113 + 130?\nAnswer: 20113303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 264, 86, -0.2 in ascending order.\nAnswer: -0.2, 86, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 363*v + 98*v + 2766 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence etev when four letters picked without replacement from ezxetxetevvx?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -102 - -34?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-3)*(6 + 4053\/14). Let j = -181 - n. Calculate the highest common divisor of 12 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b3f20 (base 16) to base 2.\nAnswer: -10110011111100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.00548 and -144.8.\nAnswer: -144.80548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 570000 and 880.\nAnswer: 6270000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 6*t**2 - 7*t - 4. Let s be b(-5). What is the third derivative of 5*g**s + 7*g**6 - 4*g**6 - 5*g**2 wrt g?\nAnswer: 960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 AM and 7:33 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*s = 129 - 265. Let x = -0.27 - -0.17. Which is the closest to -1\/3?  (a) x  (b) s  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 43322*q = j + 43320*q + 43, 22*j + 193 = 5*q for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3322331 (base 4) to base 16.\nAnswer: -3ebd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 4. Let i be k(0). Suppose 0 = -i*z + 5*a + 83 + 48, 142 = 3*z + 5*a. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -22, -18, -14, -10, -6, -2?\n\"Answer: 4*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34294515 = -3*v - 3*x, 12 = -8*x + 4*x. Let w = 23851508 - v. What is w rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144302 divided by -46.\nAnswer: -3137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1124 + 41?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 16*t**5 + 564*t**4 + 3500*t**3 + 7240*t**2 + 5184*t + 896 = 0.\nAnswer: -28, -4, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(2*k + 0*k - k)*(4 + 1 - 4)*(9*k**3 - 5*k**3 + 4*k**3) + (-2 + 2 - 2*k**3)*(291*k + 196 - 198 + 271*k).\nAnswer: -1116*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (209*b - 416*b - 1090*b - 293*b)*(0 - b + 0 + 1) to the form k + d*b + i*b**2 and give d.\nAnswer: -1590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/(a**(-1\/29)*a)))**(5\/6))**(-21) assuming a is positive.\nAnswer: a**(-490\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 1. Let z = g + 2. Let t be (z - 0) + (2 - 1). Put -1\/3, t, -0.3 in ascending order.\nAnswer: -1\/3, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 3*p - 58, 3*r - 302 = 8*r - 3*p. Let n = -57 - r. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 2:02 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -352, -761, -1208, -1675, -2144, -2597?\n\"Answer: 3*t**3 - 37*t**2 - 319*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25073 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of 58*i**3\/3 - i**2\/2 + 4*i. Is g(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1750 and 42830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -2*h**2 + 14*h - 10. Let x be m(5). Suppose 0 = v + 4*v - 1875. Let w be v\/35 + (-4)\/(-14). Which is greater: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -355683444 = -4*n - 30942352. Suppose -2*k = -4*k - 5*g + 54123512, -3*k = 5*g - n. Let w = 12761761 - k. What is w rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -554*a - 556*a + 1112*a. Let u(r) be the second derivative of 2*r**3\/3 + 7*r. Give w(u(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 5*c = 3*v + 25, -c + 19 = 4*v. Let f = -50 + 45.6. Let p = f - -4.6. Sort p, 2, 0.5, v.\nAnswer: p, 0.5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20722*w = -5*p - 20726*w + 31, 2*p + 3*w - 11 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + ((-4)\/2 - -2). Let h be (-2)\/8*(p - 1). What is the closest to 1 in 0.4, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 6, p: 13}. What is prob of sequence oppo?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*x - 10*x - 6*x - 12*x + 19*x - 11*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23 - -24. Let x(w) = -w - 1. Determine x(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c + 94 = 41*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 713, 1432, 2151, 2870, 3589?\n\"Answer: 719*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.9 and -4.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8138775 to the nearest integer?\nAnswer: 2853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {i: 4, e: 4, s: 1, b: 2, h: 1, p: 6}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -846  (b) 2  (c) 1804\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**4)\/(q**(-3)*q)*(q**(-2))**(-3\/11))**(-17) assuming q is positive.\nAnswer: q**(-1411\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -218510 from 0.078984.\nAnswer: 218510.078984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, t: 3, c: 3, p: 1, z: 1}. Give prob of picking 1 t, 1 z, and 1 c.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -52995426 divided by 802961\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 434*x + 2000. What is l(-5)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 451 + -286. Let p = y - 164.923. Let f = -0.0485 + p. Round f to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 490 and 2968.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -12*m - 14. Let y be g(-1). Let h(t) = -152*t + 20. Is 9 a factor of h(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-594)\/11)\/(-9))\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 320, 9\/71, -2\/11?\nAnswer: 9\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 - 16*r**2 + 7*r - 2. Let o be u(-17). Let c = 111 + o. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124*23\/7130 - (-1254)\/(-60)?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28 + p - 28)*(5 - 1 - 5)*(-3*p + 2 - 7*p - p).\nAnswer: 11*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 14*k = 9*k - 5, -5*d = -5*k - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3 - 2*s**3 + 4*s**2 - 5*s + 0*s**2 - 3*s**3 + 2.\nAnswer: -(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/7 + ((-664)\/280 - -3). Suppose 0 = 8*r - 9*r + 2. Let t be 6\/(-24)*(r + 1). What is the nearest to -0.2 in t, s, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*k**2 + 72 + k**3 - 29*k**2.\nAnswer: k**3 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-6\/11)*g*g**32)\/((g\/g**(-2)*g)\/g*g*g)**36)**(-9\/4) assuming g is positive.\nAnswer: g**(3627\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 5*q**2 + 8*q + 6. Let d(w) = w**2. Let o(k) = -2*d(k) - i(k). Let m(l) = -15*l**2 - 17*l - 13. What is 6*m(y) - 13*o(y)?\nAnswer: y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 7 = -g - p, -4*g + 32 = -5*p. Let x = 6 - g. What is the second derivative of 3*i - i + 2*i**x - i wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1166*w - 1152*w - 50232 = 0. List the prime factors of w.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -5. Let v(j) = 1 - j + j - j + 2*j. Let h(g) be the third derivative of 5*g**4\/24 + g**3\/2 + 3*g**2. Determine b*v(x) + h(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.171 - -0.071. Let s = 22.7 + -23. Which is the nearest to w?  (a) s  (b) 0.03  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of 739*c**6\/8 + 2411*c**5\/60 + 5*c**2 - 10*c - 1. Find the third derivative of z(r) wrt r.\nAnswer: 66510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {n: 8, h: 7, p: 5}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*f - 4*f + 5*f)*(11 - 257 - 274) in the form u + m*f and give m.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.14?  (a) 2  (b) -1  (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-23)\/(-3) - (-6)\/(-9). Suppose x*g = 2*g. Let h be (g - 0) + -1 + 2. Let i(c) = -7*c**3 + c**2 - 1. Determine i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/163562 and 155\/490686.\nAnswer: 490686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*m - 10 = -86*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqhq. What is prob of picking 2 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/(-1 + 4))\/2. Calculate the common denominator of 99\/4 and (((-36)\/15)\/4)\/f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2.3, -1, -1213688, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -3531047844.\nAnswer: 3531047844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 700 - 2796 = 0. Suppose -2*i + d + m = i, 15 = 3*d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 10 = 28. Solve -39 = -f*s - 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3\/2128 + 366001\/10640. Let m = -514\/15 + z. Sort m, -5\/6, 0.5.\nAnswer: -5\/6, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1160 is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 319 + 381 = 25*k. Solve -4*j + 20 = n, 4 = -26*j + k*j - n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 44*l - 38*l - 36. Calculate the remainder when (-6)\/36*-4 - (-1184)\/l is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4846 = j - 5*i, -28*i + 14438 = 3*j - 23*i. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 - 11. Let q be (-3)\/(0 - (-5 - z)). Let i = 7 - 4. Sort q, i, -5 in ascending order.\nAnswer: -5, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 158 - 86. Suppose -j = -2*u - 2*u. Suppose 19*g - 20*g = -u. Calculate the lowest common multiple of g and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 11*u**2 + 21*u + 14. What is l(6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 0*k - 60 = 0. Let p = -6 - -9. Suppose 0 = p*f + f - k. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 1. Let j(r) = 2*r + 4. Let g(t) = 2*j(t) - 20*v(t). Let f = 8 + 8. Calculate the lowest common multiple of f and g(8).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 16) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 12*p**3 - 6*p**2 - 4*p - 8. Let w be x(-4). Which is smaller: w or -851?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001322225 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2*sqrt(7))**2 + sqrt(14)\/sqrt(2)*-4 - (sqrt(700)*2*5 - sqrt(700)).\nAnswer: -94*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6055 - -0.0634?\nAnswer: -6054.9366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 0 - 7 = -w, -5*w = -2*b + 1. Let n = 2 - b. Let z = -3.5 - -3. What is the second smallest value in -3\/2, n, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*c**5 + c**5 + 0*c**5 + 0*c**2 + 2*c**5 + 0*c**2 + (2*c**5 + 0*c**5 - c**5)*(1 + 4 - 4) - 7*c**4 - 3*c**5 + 7*c**4 - 2*c**2.\nAnswer: 5*c**5 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(g*g**(-15))*g**17*g)\/(g*(g*g**(-1\/5))\/g*g**(2\/11)) assuming g is positive.\nAnswer: g**(1816\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/6)\/((396 - 449)*1\/(-3))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10061 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 29 = 4*x - 4*s, 296*x - 288*x + 5*s = 47 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2351 is divided by 118.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12749224 to the nearest integer?\nAnswer: 3571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -206730 to the nearest one thousand.\nAnswer: -207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (44\/(-38))\/(1072\/2546)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 + 25. Let m be b(0). Suppose -s - 3*p + 46 = 2*p, 2*s = 4*p + 92. Suppose -2*i = -2*t + 4, -5*i + s - 11 = 4*t. Solve 0*f = t*f - m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47420, 47423, 47450, 47513, 47624, 47795, 48038, 48365?\nAnswer: 48788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -326, 8, -1 in decreasing order.\nAnswer: 8, 3, -1, -2, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of b**5\/120 + 5*b**4\/12 - 128*b**3\/3 - 1. Let u(o) be the third derivative of j(o). Determine u(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 9 - 3 + 3 - v. Let s be w(6). Suppose s = c - 54. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*b - 7 = 14*b + 2*h, -b - 5*h - 11 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4643, -54, -0.7, 2, 4\/7, -2\/9 in decreasing order.\nAnswer: 4643, 2, 4\/7, -2\/9, -0.7, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18130 and 1015035?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z + 11*z = -4*l + 90, -15 = 3*z. Let q be l\/18 + 18\/(-189)*7. Let k = -2.05 - -0.05. What is the third biggest value in q, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1006544.1 months in years?\nAnswer: 83878.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -3*v + 4*v. Let j = -21 - v. Calculate the smallest common multiple of j and (-14 - 2)\/(37 - 38) - (4 + 1).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -39, 3\/5?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + 28 + -32 + (0 - 36) + (-2 - 6).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -151 - -144. Suppose -68 = 4*w + 4*u, -3*w - 67 = -4*u - 9. Let x be (-17)\/(-33) + 6\/w. Which is smaller: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3*g + 6. Let p(u) = u. Let x(l) = l**2 - 3*l - 16. Let i be x(6). Give i*p(o) + c(o).\nAnswer: -o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(78) + -3*((sqrt(78) - 1*sqrt(78)) + sqrt(78)) + 1*-2*sqrt(78))*1)\/(1*(sqrt(24) + (1*sqrt(72) + sqrt(72))\/sqrt(3))))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 244 + -238. What is the nearest to q in 0.02, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2454 and 409?\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*l**4 + 1 - 6*l**4 + 2*l + 3*l**4 + 0*l**3 + 4*l**3 in the form g + p*l**4 + s*l + o*l**3 + r*l**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 14) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**1*t)**(2\/31)*(t\/(t*t*t**0)*t*t)**(-48) assuming t is positive.\nAnswer: t**(-1484\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117847*l + 117847*l - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 5:34 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 5*h - 1452. Let f(j) = -2*j + 528. Let l(v) = -4*d(v) - 11*f(v). Let z(i) = 5272*i. Calculate z(l(n)).\nAnswer: 10544*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 3*w**3 + 2*w**2 - w - 1. Let t be o(1). What are the prime factors of (-1)\/t - (-3)\/((-81)\/(-30924))?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -4*q + 167. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 6 = -z. Let d = z + -5. Solve 0 = -4*x, -3*j = -d*j - 2*x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1461330 (base 7) in base 14?\nAnswer: 52b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/6*8\/(-56)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56286*x + 7*x**3 + 56281*x - 112567*x.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -5\/7*m**4 + 4\/7*m**5 + 2\/7*m**2 - m**3 + 0*m + 0 = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*a**2 + 54 + 37 + 20 + 4*a**3 - 6 - 7 - a in the form r*a + h*a**2 + b*a**3 + q and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 120, 127, 148, 189, 256?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*k**3 + k**3 - 3*k**3 - 9 - 10 to a*k + d + u*k**2 + c*k**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 5*i - 11. Let r be 10 + -4 + 4 + 0. Let a be w(r). Suppose -a = -3*c - 3*k, 0*k + 50 = 4*c + 2*k. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 6068493, 6068492, 6068491, 6068490, 6068489?\n\"Answer: -q + 6068494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 496 and 8288160?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 12236, 24472, 36706, 48938?\n\"Answer: -k**2 + 12239*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3634 is divided by 104?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n\/n**(-11))*n*n)\/n*(n**4\/n)\/n*n**(-8)\/n**5 assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -2*x + n + 12, x - 5*n = 15. Suppose 4*r = -x*k + 17, k = -3*r - 0*k + 21. List the prime factors of -2 + -1 + 112\/r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*c**2 - 408520*c + 170294480 = 0.\nAnswer: 5836\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 + 6*s - 8. Let r be (8\/4 - 3) + -5. Calculate u(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/(-44)*(-120)\/150*201\/(-134)?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5013071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -6*m + 5. Let u be b(-3). Let l = -14 + u. Let h(s) = 55*s - 8. Is h(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, h: 2}. What is prob of picking 2 r?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, -0.2, -0.4, -5.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(3\/7))**(-5) assuming g is positive.\nAnswer: g**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 233345336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-454)\/6 - (-8)\/12. Let z = -371\/5 - q. Calculate the common denominator of z and 0 + -1 + (-316)\/32.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20 + -1. Let v = c - -21. Suppose -b + 3 + 14 = 0. Solve 4 = -2*u - 3*x, v = 3*u - 3*x + 2*x + b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7437 - -7387. Let o be ((-4)\/5)\/(2\/(-235)). Let y = w + o. Calculate the greatest common factor of 33 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -108 - -98. Let i be (12 + s + -1448002)\/((-4)\/(-30)). What is i rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -182 from -28735169.\nAnswer: -28734987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-28)\/16 + (-1)\/4. Let d = g - -3. Are d and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/30 and -88\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -146022 at least 2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of 11*t**5\/20 + 3*t**2. Let n(h) = 25*h - 54*h + 32*h. Give q(n(u)).\nAnswer: 297*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (2*30\/48)\/((-25)\/30)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k - k + 0*k + 819550.\nAnswer: 2*k + 819550","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-4)*(-95)\/(-114).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 - 12. Suppose 0 = 2*k + 3*w - 14 - 26, -u = -w. Suppose k*g - 26 = 13*g. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 666 - -5032?\nAnswer: 5708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + (1 - (-1 + 3)). Let q be 8\/18*(-201)\/19430. Which is greater: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32 or -107\/3?\nAnswer: -107\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 + 16*t + 20. Let q(a) = a**2 + 30*a + 98. Let p be q(-27). What is the remainder when 30 is divided by g(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38137 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - (3 - -4)) + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -7*x + 30. Let q(t) = 8*t**2 - 4*t - 5 - 11*t**2 - 3*t + t**3 + x*t. Let b = 7 + -3. Give q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 PM and 5:08 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*v**2 + 0*v**2 + v**2 + (-3*v - v + 2*v)*(-2*v + 3*v + 0*v))*(v**3 + 16*v**3 - 10*v**3).\nAnswer: -49*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 25 + -87 + (4 - -29)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 3  (c) -1\/7  (d) -13201\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + (-13 - 16) - -21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, s: 1, h: 6, d: 8}. What is prob of picking 3 h and 1 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0180766594 to 7 decimal places.\nAnswer: 0.0180767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**2 - 3*w - 20. Give d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -371*t**2. Let h(j) = 2*j. Calculate g(h(z)).\nAnswer: -1484*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 19*t**2 - 33*t + 81. Does 27 divide d(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 125.052497 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -69 - -86. Suppose -16*v + z*v = 24. Is ((-4046)\/(-3))\/1 - (-8)\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 221 + -68 + -200 + 134?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -4*o**2 - 5*o - 29*o**5 + 32*o**2 + 68*o**4 + o + 5*o**5 - 68*o**3 = 0?\nAnswer: 0, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 344794840 to the power of 1\/3, to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*p**2 + 60*p**2 + 3*p**2 - 58*p**2 + 48*p - 2*p**2.\nAnswer: -2*p**2 + 48*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 928.9329km in millimeters?\nAnswer: 928932900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -144435*z - 527124*z + 160903*z.\nAnswer: -510656*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2344*t - 9056*t - 6629*t + 3762*t - 6897*t)*(10 + 3 - 2).\nAnswer: -181236*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + (-9 - -1) + (193 - 181). Sort 1, h, -76, -4 in ascending order.\nAnswer: -76, -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 68101 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -3*n - 1. Let z(i) = -8*i - 4. Let j(a) = 14*y(a) - 5*z(a). What is j(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61de9 (base 15) to base 4\nAnswer: -1023233331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of -l**6\/24 - l**5\/30 - l**4\/12 - 2*l**2 + 3. Let j be d(-1). Solve b + 4*r = -3, b = -2*b + j*r + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.326824 - 576.\nAnswer: -575.673176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2 - x + 2. Let z be (2\/3)\/(2\/6). Let c(q) = -q**2 + 2*q + 2. Let j be c(z). Suppose 6 = j*u + 4*v, 0*v + 9 = 3*u + 5*v. Determine f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3*2*15\/(-120))\/((-663)\/(-272))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vg when two letters picked without replacement from bbbbbobbvbbbbbbgggv?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 99 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -709599476 by 17902.\nAnswer: -39638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/1*(-1072)\/804?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**20)\/r**4*(r\/(r\/(r**(-8\/7)*r)*r))\/(r*r**(-5)))**(-34) assuming r is positive.\nAnswer: r**(4794\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1754893387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10 * -895476.\nAnswer: -8954760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - 10. Let i = -14 - h. Suppose i = w - 0*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 91 - 27. Suppose -84*t = -c*t + 40. Find the common denominator of 4\/6 - (-1086)\/72 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44.33755 times 0.1?\nAnswer: 4.433755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.4 and -163727241.16803.\nAnswer: -163727241.56803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3*o = 4, y = -5*o + 3*o - 2. Suppose 4*j + 800 = f, -4*f + 2100 = -y*j - 1044. Suppose 0 = -5*p + 13*p - f. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75, 991, 3875, 9483, 18721, 32495, 51711?\nAnswer: 77275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 472779590.\nAnswer: 2, 5, 173, 273283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lldn when four letters picked without replacement from vvlindlvzvilvzl?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4051242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - -11. Let s = m + -14. What is the nearest to 1 in 0.2, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2555926.38 milliseconds to weeks.\nAnswer: 0.00422606875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 8 = 5*l. Let j be (0\/7)\/((-4)\/(l\/3)). Suppose 4*g - 29 = -3*n, -5*g + n - 3*n + 31 = 0. Sort g, 2, 8, j in decreasing order.\nAnswer: 8, g, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 + o**2 + 4. Let q(c) = -3*c**3 - c**2 - 15. What is d(s) + q(s)?\nAnswer: -2*s**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 9396\/7*c - 3\/7*c**2 - 7357068\/7 = 0. Calculate c.\nAnswer: 1566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -73 + 94. What is the least common multiple of l and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3*w**2 - 2)*(-5 + 11 - 9) + (1 + 3*w - 1)*(-4*w - 2*w + 5*w) - 6*w**2 + 0*w**2 + 4*w**2 + 3*w + 2*w**2 - 3*w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-3)*y)**(1\/6) assuming y is positive.\nAnswer: y**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -15574436 rounded to the nearest one hundred thousand?\nAnswer: -15600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 0 + 0)*(6 - 6*g - 6)*(-3 + 0 + 5) to the form k + v*g and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 167531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36877671.\nAnswer: 3, 23, 67, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l**2 + 24*l - 849. Let v be q(20). Solve 436*o = v*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, -22, -32, -44?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4749421.\nAnswer: 4749421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 4, -667 = -5*d + g + 814. Suppose 0 = 290*n - d*n + 3786. List the prime factors of n.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -3*o + o + 3*o + 0*o. Let i(k) = 20*k + 10. Let y(s) = 13*s + 6. Let t(g) = 5*i(g) - 8*y(g). Calculate t(j(l)).\nAnswer: -4*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 60, 0, 5 in ascending order.\nAnswer: -4, 0, 4, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {s: 2, p: 2, o: 7, d: 1, v: 1, k: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -14*p + 18*p + 10, 20 = 2*f + 4*p. Suppose -7 = f*z - 37. What is the smallest common multiple of 209 and z?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000057650791 to 7 dps.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 2*m**2 + 1. Let a = 10 - 0. Let y be (15\/a)\/(2\/4). What is the units digit of v(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 1022002021?\nAnswer: -1022002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, n: 4, c: 5, b: 4, a: 1, h: 4}. Give prob of picking 2 c.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1060885487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 108931982 to the power of 1\/2, to the nearest integer?\nAnswer: 10437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*t - 4*z, 4*t - 8 = 3*z + 10. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*v - 66*v**3 - 8*v - 4*v + 77*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 93407 greater than or equal to 93406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3358 + 3358 + 3353 + 4852*r + 3353 - 13422.\nAnswer: 4852*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 3206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -5004*r - 15245. Determine m(-3).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, -4\/681, -35, 0.5, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -9. Suppose -m*w + 5*n = -301, -w + n = -4*w + 325. Let t = 756 - w. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10949759?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1\/8)*m**(-1\/4)*m assuming m is positive.\nAnswer: m**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18 and 8393754744?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -1358*z. Let o(r) = -15*r. Give h(o(s)).\nAnswer: 20370*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 5*a**2 - 25*a - 4. Let y(f) = -14*f**2 + 73*f + 12. Let k(l) = 17*w(l) + 6*y(l). Calculate k(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8360 divided by -4\nAnswer: 2090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 148 = 2*y. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r - 18*r = -3146886. Let o = r - 200481. Round o to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10*n**4 + 10*n**3 + 17*n + 72827.\nAnswer: 40*n**3 + 30*n**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 111 + -90. Suppose -24*q + 19*q + 120 = 0. Calculate the least common multiple of q and b.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(8\/11)*t)\/(t\/((t*t**(-18))\/t))*(t*t\/(t*t**32))\/(t**(1\/2)*t))**34 assuming t is positive.\nAnswer: t**(-18241\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - (0 - 3) - -14. Let w(n) = 16*n**2 + n - x*n**2 - 1 + 6*n. Does 15 divide w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, z: 1, n: 1, l: 7, m: 2, a: 4}. Give prob of picking 2 o.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzgg when four letters picked without replacement from {s: 3, g: 2, z: 6, f: 2, w: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10674250, -42697007, -96068270, -170788039, -266856314, -384273095?\nAnswer: -523038382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.06 - -0.24. Let l = i - 2.3. Let m = -1.7 - -1.5. Which is the closest to m?  (a) l  (b) 5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -0*f - 5, r - 9 = 5*f. Suppose 3*y = -4*u + 7*y + 64, -4*u = 3*y - 78. What is the smallest common multiple of 2\/1 + r\/1 and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 925, 1887, 2849?\nAnswer: 3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 96.9964 + -97. What is t rounded to four decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11351 - 1044353\/92. Find the common denominator of -51\/14 and t.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 3370\nAnswer: 1\/3370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -14*l - 3. Let x(w) = -3*w**2 + 2*w - 1. Let m be x(1). Let j be z(m). What is the greatest common factor of j and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2967206.\nAnswer: 2, 11, 134873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 125 - -82. Calculate the highest common factor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -6, 3*q + b = -0*b. Suppose -h - q = 0, 4*g = 3*g + 3*h + 131. Calculate the highest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.286, -0.5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1928358476 to the nearest integer?\nAnswer: 43913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from gggggggggggggggggggv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.6 - 1.2.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.5, 2\/9, -10569, -4, -5\/36?\nAnswer: -10569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -36*y**2. Let q(r) = -61*r - 17. Calculate d(q(f)).\nAnswer: -133956*f**2 - 74664*f - 10404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 310907398.6 rounded to the nearest one hundred thousand?\nAnswer: 310900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + -4)**2 + (sqrt(152)\/(sqrt(24)\/sqrt(3)) - sqrt(19))**2 + sqrt(95)\/(sqrt(15)\/sqrt(3)) + sqrt(152)\/(sqrt(16)\/sqrt(2)) + 1.\nAnswer: -14*sqrt(19) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add -1569769 and -11834487.\nAnswer: -13404256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of 0 - 131*q**2 - 1\/24*q**4 - q + 0*q**3. Let p(d) = -d**2 - 23*d. What is o(p(j))?\nAnswer: j**2 + 23*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of h**3\/3 + 9*h. Let s(z) be the third derivative of z**5\/30 + z**2. What is s(v(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -4*v**3 - v**2 - v - 1. Let y(h) = 816*h**3 - 18*h**2 - 102*h - 18. Let x(r) = -18*n(r) + y(r). Find the second derivative of x(o) wrt o.\nAnswer: 5328*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(242) - -5*(-5 + sqrt(242)))*-5 + ((-5 + 5 + sqrt(242) + sqrt(242))*4)**2) + -2.\nAnswer: -15615 + 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -1666*a**2. Let d(c) = -2*c**2. What is l(d(h))?\nAnswer: -6664*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9705*b**3 + b**2 + 9616*b**3 - 2*b**2 + b**2.\nAnswer: -89*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 610 = -18*l + 23*l. Suppose -4*w + 347 = 5*f, -2*f + 3*w = -w - l. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6\/4885 - -2779577\/9770. Which is smaller: 285 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 11.67  (b) 2\/9  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 66*j + 391. Calculate w(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6 + (4 - 100*-168). Let s = w - 6111. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 44.09487cm in millimeters?\nAnswer: 440.9487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 - 4*t. Let g = -6 + 11. Suppose 2*r - g = 3*r. Let p be 5\/(-25) + (-31)\/r. Calculate f(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**3 - 3*p**2 - 5*p - 3. Suppose 0 + 8 = 2*r. Is n(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5.8123 times 3\nAnswer: -17.4369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -6) + (-26 - -25).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 0, -4 in ascending order.\nAnswer: -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-552)\/(-115) + 1\/5. Sort -9\/4, -4, f in increasing order.\nAnswer: -4, -9\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2736*u + 34946 + 49870 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1521, -4, 46, 0, 3 in decreasing order.\nAnswer: 1521, 46, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/4 + (-228)\/(-48). Suppose 25 = 4*k + k. Solve 0 = -2*i + 4*p + c, k*p - 4 - 1 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -6*y**3 + 2*y**2 + 3*y + 5. Let t(s) = -5*s**3 + 2*s**2 + 2*s + 4. Let b(j) = 6*i(j) - 7*t(j). Suppose 7 = -5*k - 8. Determine b(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-5)*(-35)\/(-10). Let r = -7 + 5. Let x = -1.8 - r. What is the third smallest value in 0, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204*z + 36 = -200*z. Let g be z\/(27\/6)*6\/(-28). Which is the biggest value?  (a) -4\/13  (b) g  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10724 + 12378. Let v be c - (1 + (1 - 0)). Round v to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -286, -1139, -2560, -4549, -7106, -10231?\nAnswer: -13924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6165 and 47903283?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -40*u - 2 + 15222*u**3 + 2 - 5 - 15222*u**3 - u**4 - 5*u**2 in the form z*u + m*u**4 + b*u**3 + x + f*u**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (13 + -10)) + -17 + (1 - (2 + -2))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 17272980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*b**3 - 1498*b**2 + 1498*b**2.\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2648 and 0.3.\nAnswer: 2648.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -21*(-1)\/(-3)*-4. Let v = f + -14. Let o(m) = -m. Calculate the least common multiple of o(-8) and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12*(-8)\/(-12) - -4. Let o be (-10)\/n + 1\/6. Let v = 5\/23 - 9\/253. Which is the third biggest value?  (a) -0.3  (b) v  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -412?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -27.43 * 94.\nAnswer: -2578.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 735982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + 4. Suppose -y = -3*j + 4*j - 1, 4*j - l = 3*y. Suppose -3*b + 12 = -3*x, 0 = j*b + 2*b - 2*x - 20. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 162*o**2 + 15*o + 65. Let v(b) = 243*b**2 + 21*b + 98. Let i(q) = -7*d(q) + 5*v(q). What is the first derivative of i(s) wrt s?\nAnswer: 162*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.886432242 to 5 dps.\nAnswer: 0.88643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7\/32546 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q - 2. Let p(l) = -l**2 + 3*l - 3. Let h(n) = 2*n**2 - 3*n + 4. Let w(z) = 2*h(z) + 3*p(z). Give -3*r(v) + 2*w(v).\nAnswer: 2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6860 - 6854. Solve -29 = -m*t - 47 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -134 divided by -67\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 times 0.2?\nAnswer: 58.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 2:07 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - i + 20 = 0, -v - 2*i = -0 + 2. Let u = 10 + v. Suppose u*t - t = 48. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-1)\/f**(-2)*(f\/(f\/(f*f*f**4)))\/(f*(f\/(f*f**(-1)*f*f))\/f)*((f*f**(1\/5)*f)\/f*f\/f**(1\/4))**(-1\/2) assuming f is positive.\nAnswer: f**(281\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -67?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 687.98 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/11 - 568*t\/11 - 22278\/11.\nAnswer: -2*(t + 47)*(t + 237)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 + 2*t + (-10 + 2 + 0)*(11 - 4*t - 11).\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 2*v - 4*v + 3*g, -2*v - 4*g = 14. Let h be (-2 - 210\/(-2))*v. Suppose h + 41 = 4*y. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31518 greater than or equal to 31527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -151375, -5, 2\/3 in decreasing order.\nAnswer: 2\/3, -5, -151375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 11, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 13252779\/5  (b) 7  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 849827 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 13) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1 - 0.1. Let i = -1.1 - -1. Let g = i - l. Which is the third smallest value?  (a) -1\/7  (b) -0.3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 169\/1609650 and -83\/198.\nAnswer: 17706150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-3)\/k*k**(-3)*k)\/(k**(-6)*k*k**(1\/3)))\/(k\/(k\/(k\/(k*k**3)))*k**(2\/5)*(k**(1\/4))**(5\/16)) assuming k is positive.\nAnswer: k**(1141\/960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p - 145 + 1339 = 0. Let a = 35 + p. Calculate the greatest common factor of a and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 12:11 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of r**4\/4 - 4*r**3\/3 - 3*r**2 + 3*r + 1. Let k be j(5). Let g be 27\/12 + k\/8. Solve -g + 0 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 2*t + 6 = 0, 102*j - 111*j + 3 = -t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*(-636)\/1113?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 962.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 1:37 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 < -118\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6*(-1 + (-4)\/(-8)). Let n(f) be the second derivative of -1\/3*f**2 + 0 - 5*f - 2\/3*f**b - 1\/2*f**4. Factor n(g).\nAnswer: -2*(3*g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -107, -213, -321, -431, -543, -657, -773?\n\"Answer: -g**2 - 103*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*z + j - 15, 5*j = -2*z. Suppose z*k - 162 - 568 = 0. List the prime factors of k.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 7:06 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and -2.68?\nAnswer: -2.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 29 - 21 = 0. Suppose 2*l + 32 = -3*q, -4*l + q - 92 = -0*q. Let m = l - -40. What is the remainder when m is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -461\/4921 + -3\/259. Let a = m + 72\/323. What is the fourth biggest value in 2\/9, a, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**2\/5 - 83968*d - 4406640640 = 0. Calculate d.\nAnswer: -104960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = -s - 26 + 11 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60030732 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.5 + 1. Let m = -1 - -1.4. Let d = -129 + 131. What is the third smallest value in g, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ztww when four letters picked without replacement from btwtbwzz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 513.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 233 - 2095\/9. What is the biggest value in 3, b, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -5*w - 27. Let t(f) = -2*f - 14. Let a(k) = 7*t(k) - 3*v(k). Suppose 4*m = 4*s - 84, -2*s + 4*s = -5*m + 21. Let o be a(s). Solve -2 = -x + o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 658 + -448. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 201000005 = 5*g, -g - 2*p - 200999998 = 4*g. What is g rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173031427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*v, 4*m + 5*v = 10 + 11. Suppose -d - m*i = 3*d + 4, -3*d - 2*i - 2 = 0. Suppose -136 = -3*r - 5*l + 151, -2*r - 3*l + 190 = d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -2) + 2 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 247524372 a multiple of 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1712 divided by 428\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 266330447 is divided by 2504?\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 245 smaller than 6111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of -b**2 + 38*b - 11510. Let k(g) = -2*g - 56. Determine p(k(l)).\nAnswer: 4*l + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*f**2 + 10*f**2 - 14*f**2 as g*f + o*f**2 + r and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112594 - 4*a**3 + 112594.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**0)**(-1\/2)*c*c\/((c*c*c*c**(-6)\/c*c)\/c)*c**4)\/(c*c*(c**3*c)\/c*c*c\/(((c\/c**(4\/3))\/c)\/c))**29 assuming c is positive.\nAnswer: c**(-782\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 364 + -16?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 13*k**3 - 3*k**2 - 5*k + 9. Let a(d) = 6*d**3 - 2*d**2 - 2*d + 4. Determine 9*a(p) - 4*j(p).\nAnswer: 2*p**3 - 6*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*h - 26*h + 5*s = -20, 3*h + 5*s = -15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 26*h**2 + 46*h - 32. Let c be o(-24). Let s(m) = -m**3 + 21*m**2 - 29*m - 29. What is the tens digit of s(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -122, -98, -76, -56, -38, -22?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15, 7, 27, 45, 61?\n\"Answer: -b**2 + 25*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**4\/10 + 67*p**3 + 394523*p**2\/10 - 16976058*p - 32099191938\/5 = 0.\nAnswer: -363, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3579 - -25051\/7. What is the nearest to -2\/3 in -0.9, 3, 2\/5, b?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 5, -0.0988, -20, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -193 * 0.3\nAnswer: -57.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 50*b**2*w*y**3 - 15*b**2*w*y**2 - 58*b**2*y + 179*b*w*y**3 + 4*b*w*y - 53*w wrt b.\nAnswer: 100*w*y**3 - 30*w*y**2 - 116*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43066021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(152) - sqrt(152))\/sqrt(8) + 2*(sqrt(19)*-2)**2 - ((sqrt(19) - (-1 + 2*sqrt(19))) + sqrt(19) + 5).\nAnswer: -3*sqrt(19) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -44 - -80. Let u be (142\/(-4))\/((-18)\/y). Let n = u + -42. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 371  (b) 2\/5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28254 + -310792\/11. Solve j*x**3 + 14\/11*x**2 - 34\/11*x + 18\/11 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -572, -2608, -7644, -17180, -32716?\nAnswer: -55752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 9 - 35 = 5*a, 0 = 3*k - 3*a - 54. Suppose -162 = k*i + 4*i. Let g(u) = -u**3 - 5*u**2 + 5*u - 4. Determine g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -197 + 196.617. Let s = -36.783 - c. Let z = -34 - s. Is z not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put -17, -705, 6, -1 in increasing order.\nAnswer: -705, -17, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*i = -20 + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3*p - 3 = 0. Suppose -p*j - 14 = -44. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*k - 5 = -145. Solve k*o - 20 = -5*b - o, -4*o = -8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.3*-42.6.\nAnswer: 55.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b + 4. Let k be m(2). What is the remainder when ((-9)\/6)\/(k\/(-124)) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of w**2 - 6*w + 1. Let b be d(8). Suppose -6*k + b = -k. Solve -2*v + 3*v - 4*a + 17 = 0, -k = -4*v + 2*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.71699 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -d + 5*x - 2, -2*d - 5*x = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-20))\/(53\/(-265))*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/282 and 33\/12032.\nAnswer: 36096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(4\/11)\/l*l**(-6))**(4\/29) assuming l is positive.\nAnswer: l**(-292\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 227 + -2?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 80623 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 5*r = 530, 2*h + 542 = 7*h - r. Suppose 0 = -3*x - h + 141. Suppose 3*i = i + 3*w - 19, -5*w = 2*i + x. Which is smaller: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(432)\/(sqrt(9) + sqrt(45)\/sqrt(5)))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 7*s**2. Let z(a) = -7*a**2 + 6*a - 27. Let g(v) = -v**2 + v. Let n(b) = 6*g(b) - z(b). Let o(j) be the first derivative of n(j). Calculate y(o(f)).\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 2496374 = -9*n + 69215626. What is n rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -12271, -1517, 9237?\n\"Answer: 10754*u - 23025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 651473 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 60 + -63. What is the third biggest value in -6, t, 3\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17406857 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6356*h - 3675*h = 147455 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - -17. What is the least common multiple of t and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*y**4\/3 - 3908*y**3\/3 + 43396*y**2\/3 - 75052*y\/3 + 11856 = 0. Calculate y.\nAnswer: -988, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 154 - -637. What is the derivative of 59 + u*j**3 - 382*j**3 - 479*j**3 wrt j?\nAnswer: -210*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -106, -223, -336, -445?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 97 + -53. Suppose 0 = 6*c - 4*c - w. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of z**10\/2520 + z**6\/120 + z**3\/3 - z. Let t(i) be the second derivative of f(i). What is the third derivative of t(h) wrt h?\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*y**2 - 7*y**2 + 5*y**2 - y - 36 to the form k*y**2 + g + u*y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 917 = -7565. Suppose -11*k - 3324 = -7*k + 2*n, 4*k - n = -v. What is k rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-11)\/((p\/(p\/(p\/(p\/(p\/p**7)))))\/p*p))**(-1\/6)*(((p*p*p**0)\/p*p)\/p)**43\/(p*p*p\/(p*p\/(p**(2\/19)*p))*p*p**(1\/11)\/p) assuming p is positive.\nAnswer: p**(52213\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10000011101010110 (base 2) to base 8.\nAnswer: -203526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(2\/3))**(-23)*r**(-5)*r**(4\/5)\/r assuming r is positive.\nAnswer: r**(-193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15.75496 + 15.59. Let p = 0.165 + u. Round p to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 626 - 625.8. What is the second biggest value in 1.3, 6, j, -0.4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1277642*g*s**2 - g*s - 3405*g + 4*s + 1 wrt s?\nAnswer: -2555284*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 3*f**2 - 13*f - 19. Let t = 51 + -56. What are the prime factors of z(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3858.8299994 + -3859.01. Let b = p - -0.18. Round b to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 - p**2 - 7*p + 6. What is the smallest common multiple of k(0) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 4*x = -x + 537, 5*p - 4*x = 1392. Let r = p - 272. Solve -r*m + 16 = 3*i, 2*m - 2*i = i - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23*1\/(-5*9\/45).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i**5\/9 + 382*i**4 + 8476*i**3\/3 - 54812*i**2\/9 + 2182*i + 702 = 0. Calculate i.\nAnswer: -9, -1\/5, 1, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -13, -26 in descending order.\nAnswer: -6, -13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of u**5\/40 - 143*u**4\/24 + 347*u**3\/6 - 138*u**2 + 1766*u. Solve r(f) = 0.\nAnswer: 1, 4, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13762 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + n + 0*n)*(0 - 4*n**3 - 3 + 6*n**3).\nAnswer: -2*n**4 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/6)\/((-1360)\/(-60)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 64640 and 30951040.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 - 5*p**2 + 34*p - 80. Calculate y(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 390509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 - 6*x**2 - 2*x + 15. Let c(t) = 6*t**2 + 8*t - 2. Let l be c(-2). Let q be a(l). Solve -5*h = q*w + 6, -2*h = w - 5*h + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.235 - -3.535. What is the closest to -2 in -0.5, m, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -1. Let h(q) = -q - 1031. What is -h(g) + 3*t(g)?\nAnswer: g + 1028","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -6*b**2 + 1 - 8*b**3 + 4*b**3 + 0 + 5*b**3. Calculate the lowest common multiple of y(6) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -273 = 55*x + 57 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 81 from -0.014.\nAnswer: -81.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p - 3. Let u be f(9). Suppose -5*j + 2 = -3*j. Let z = u - j. What is the smallest common multiple of z and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -266 and -0.5.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-3 - 12\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(19) + sqrt(684) + 1)**2.\nAnswer: -56*sqrt(19) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 858 and 5538.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1043 - -21?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75754220?\nAnswer: 2, 5, 67, 56533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 2562 = -791. Let m be 6\/14 - k\/(-161). Factor 16*a**4 - 3*a**4 + 32 - 16*a**m - 8*a**4 - 3*a**4.\nAnswer: 2*(a - 2)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -63904327 and -63904327 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3743 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*x + 5. Let a = 4 + x. Let y be 12\/7 - 4\/(-14). Solve h = -y*z + 9, -4*h + a*h - 12 = z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(198)\/(sqrt(176) + sqrt(11)) - sqrt(18))\/(sqrt(9)*-2*6) + 4)**2*-4.\nAnswer: -14408\/225 - 32*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 12 + 0)*(-4 + 1 + 2)*(370*d + 1082*d - 399 + 399).\nAnswer: -14520*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - s - 20 = 0. Suppose g + 114 = -s*r, r + 3*g = 8 - 42. Let j(h) = 6*h - 2 + 8 - 1. Let n(t) = t + 1. What is r*n(z) + 4*j(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 862 = 2*h + 2*f, 454 + 393 = 2*h - 3*f. What are the prime factors of 5 + (-5 + h - 3)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17447*m + 1344 = -17405*m for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -3*a + 32. Let q = 50 - 40. Let o be f(q). Let n(r) = -r**2 + 1. Let m(b) = -b**2 + 2. What is o*n(d) - m(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/18*(-3 - 1). Suppose 9*u = 4*u - 4*i - 3, -5*i = -3*u + 13. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-574)\/(-140) + (-7)\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-15)*(-1120)\/(-2688).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2232 (base 5) to base 7\nAnswer: -632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288) + -1)*4)**2 + (sqrt(288) - (2 + sqrt(288) + 4 + sqrt(288)))**2.\nAnswer: -240*sqrt(2) + 4948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 + -15. Solve 5*w = b + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(15)\/(sqrt(5) + -2*sqrt(5)*4) - (sqrt(24)\/sqrt(128) - (sqrt(27) + -1 - sqrt(3)))*5.\nAnswer: -9 + 241*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1391531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6\/11 in 62, 2, 164, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.0204 days in seconds?\nAnswer: 7345762.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16527 (base 8) in base 14?\nAnswer: 2a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llqq when four letters picked without replacement from lllllhlhqhllhqqlhqlh?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 22*l**3 - 4*l**2 + 6*l - 8. Let g be o(3). Suppose 3*z + g = 5*w - 97, 2*w = -3*z + 287. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*d - 4*d. Suppose -30*g + 28*g + 6 = d. Solve g*r = 2*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13129, 54747, 124103, 221191, 346005, 498539, 678787, 886743?\nAnswer: 1122401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {n: 3, z: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1464 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(1\/2))**(1\/41)\/((n\/n**(-5))\/(n\/(n*n\/n**(4\/7)))))\/((n\/(n\/n**(1\/3))*n)**(-9\/5)\/(n*n**(1\/3)\/n*n*n)**7) assuming n is positive.\nAnswer: n**(106259\/8610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-5))\/(11\/110).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-m + 5*m + 3*m)*(3*m - 4*m + 4*m) as z*m**2 + y + k*m and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 626621994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07629316794 rounded to 5 decimal places?\nAnswer: 0.07629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -20 + 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.03, -1.9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 25 = -12*p, -3*p + 930 = 5*x. Calculate the highest common factor of 594 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3206758477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i**2 - 15*i - 26. Let w be q(-6). Suppose 0 = 4*o - 8*o + w. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 352884 and 798.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 42393.15ns?\nAnswer: 0.000000011775875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k. Let y(n) = 376*n**2 + 144*n. Determine o(y(d)).\nAnswer: -752*d**2 - 288*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 950 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 3*o**3 - 5*o**2 - 37*o + 5. Let m(q) = 4*q**3 - 6*q**2 - 38*q + 6. Calculate 6*k(n) - 5*m(n).\nAnswer: -2*n**3 - 32*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58*-0.9.\nAnswer: 52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -39712*o**2 - 8*o + 78 + 8*o + 39721*o**2 as q*o + d*o**2 + y and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16\/56051 or 1?\nAnswer: 16\/56051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 243929*r**3 - 253*r**2 - 22*r + 1777551 wrt r.\nAnswer: 1463574*r - 506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -873*n**3 + 2060*n**2?\nAnswer: -5238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of l**3\/6 + l**2\/2 + 3*l. What is the units digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + v + 4*v)*(362 + 321 - 260)*(-6 + 7*v**2 + 6).\nAnswer: 2961*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1388692, -2777412, -4166132, -5554852, -6943572?\n\"Answer: -1388720*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -1183*n + 394. List the prime factors of k(-4).\nAnswer: 2, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 8*v - 3. Let j be a(1). What is the second derivative of 0*o**2 + 559*o - o**2 - 652*o - 37*o**j wrt o?\nAnswer: -740*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1258, -5045, -11340, -20131, -31406, -45153, -61360, -80015?\n\"Answer: 2*i**3 - 1266*i**2 - 3*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -4*o - 60 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -3318b?\nAnswer: -33190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, k: 4, u: 2}. What is prob of picking 2 u and 1 k?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 42786.\nAnswer: 299502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 24218.\nAnswer: 121090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3928464 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 211947853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 334830 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -153253405 (base 6) in base 4?\nAnswer: -30113201231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of -4\/3*i**3 - 3*i**2 + 0*i + 1\/12*i**4 + 0. What is the smallest common multiple of 2 and a(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 3*j - 21 = 0, -2*j - 2*j - 14 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -4*n - 2055 + 2072, 14 = 5*n - 6*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i. Let g(s) = -s + 2. Let a(d) = d**3 + 11*d**2 + 9*d - 13. Let p be a(-10). Let v(l) = l - 1. Let c(u) = p*g(u) - 6*v(u). Calculate c(j(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30 + 30 - 6*u)*(-2*u**2 + 4*u - 4*u) + 4*u - 2*u**3 - 4*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/615 and 73\/36.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -775*z - 201*z + 326*z + 327*z + 325*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1609.3 and -0.39.\nAnswer: 627.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2567.024um in millimeters?\nAnswer: 2.567024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i**3 + 0*i**3 - 3*i**3)*((654 + 809 - 962)*(-3 - 1 + 2) + 1 - 4 + 4 + 1 + 2 - 2 + (-5 + 4 + 2)*(0 - 3 + 4) - 3 - 4 + 5).\nAnswer: -2002*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 9:58 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(10)\/sqrt(5) + (sqrt(2) + (-3 + sqrt(2))**2)*-4.\nAnswer: -42 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 78\/585*(-145)\/1421?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, b: 1, m: 3, h: 1, k: 2, n: 4}. Give prob of sequence hb.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - 5*b - 12 = 4*h, 35*b + h + 3 = 32*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 386, 384, 382, 380, 378?\n\"Answer: -2*a + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 16*a - 8. Let i(m) = 31805*m. What is d(i(l))?\nAnswer: 508880*l - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*t + 126 = 0. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qym when three letters picked without replacement from zqyym?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.36 - -0.17. Let r = 0.11 - x. Which is the nearest to -1?  (a) 2  (b) -3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, u: 2, l: 5, k: 4, j: 2}. What is prob of sequence jjb?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 4*o**2 + 10*o + 12. Let t(q) = -7*q**2 - 20*q - 23. Let s(x) = -5*n(x) - 3*t(x). Let f be s(-9). Suppose f = y + y - 6. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (994 - 994 + 25*d**3)*(2 - 2 + 2) - 5*d**3 + d**3 + 2*d**3.\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*q + q - 4*q)*(4*q**2 - 2*q**2 + 3*q**2) as p*q**3 + a*q + d + i*q**2 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/y**0*y**2*(y**(6\/5)\/y)\/(y**(-2\/5)*y))**(8\/11) assuming y is positive.\nAnswer: y**(144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -62.0661 - -62. Let g = -0.3661 - v. Which is the closest to 7?  (a) 0.4  (b) -1\/4  (c) g  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -23, -13, 3, 25?\n\"Answer: 3*f**2 + f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2 + 0*c - 5*c + 0. Let s be k(-2). Let x be (-8)\/3*(-3)\/2. What is the greatest common factor of s and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.4 and 2651432747.1408?\nAnswer: 2651432747.5408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 o, and 1 q when three letters picked without replacement from qilsqqiisqiqeilooqo?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 divided by -395?\nAnswer: -6\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 + 28. Let c be ((-48)\/(-30))\/o + 13\/5. Factor 2115*t - 1350*t**2 - 623 + 435*t**c - 60*t**4 + 3*t**5 - 495*t - 25.\nAnswer: 3*(t - 6)**3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 60 = 3*h - 13*h - 4*f, h + 5 = 7*h + f + 25 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s*(s*s\/(s*(s**5*s)\/s))\/s))\/s)\/s**(-1))\/((s**(-2\/5)\/s*s)\/(s\/s**(-1)))*(s*s**(-1))**(-7\/11)\/((s*s**(-5))\/(s**(-2\/5)\/s)) assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 151929, 303895, 455863, 607833, 759805, 911779?\n\"Answer: h**2 + 151963*h - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of y**8\/112 - 3*y**7\/70 - y**6\/8 + 3*y**5\/20 + y**4\/2 - 12*y**2. Factor a(u).\nAnswer: 3*u*(u - 4)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 5, p: 1, l: 1, f: 1, i: 2}. Give prob of picking 1 t, 1 f, and 1 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g**2 - g**2 + 8*g**2 - 6*g**2 - 11*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 5*a - 33, 5*a + 3*o = 21 + 20. What is the units digit of -5 - -5 - (2 - (a + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3141 + -2308. Solve b = 5*x + 848 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1056325 to the power of 1\/2, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of 17 + 1\/2*v**2 - v + 1\/3*v**3. Determine g(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 - w. Let s(a) = 3*a**3 + a**2 + a - 399. Let v be s(0). Let g be (-165)\/57 + 42\/v. Let b(x) = -36*x**3 - 32*x. What is g*b(l) + 96*h(l)?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fifty-five halves of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -538 - -541. Let x(h) be the second derivative of 1\/20*h**5 + 0*h**2 + 17*h - 1\/6*h**t + 0*h**4 + 0. Determine x(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 10. Suppose -3*i + 14 - 2 = 0. What is the biggest value in i, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*l, -m = -2*l - 0*l - 524. Does 58 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + (-25 + 15 - 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + 4*u + 0*u + (12 - 36 + 16)*(3 + 2*u - 3) - u + u - u)*(4*u - 6*u + 6*u).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1532643, 3064808, 4596497, 6127710?\n\"Answer: -238*y**2 + 1532879*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 5*k = -69, -50*n - 4*k = -47*n + 42. Which is the closest to 1?  (a) -1\/2  (b) 0.2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*q**4 + 6*q**3*z**2 - 135*q**3 - 5*q**2*z + 2034*z**2 wrt q?\nAnswer: 48*q + 36*z**2 - 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -97 - -57. Let p = g + 44. Solve -i + p*w + 3 = -4, 4*i + 8 = 4*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -441, -883, -1325, -1767, -2209?\n\"Answer: -442*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 139061 and 18016.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 499\/6, 5, -97?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 37 - 33 = 0. Factor -2\/11*d**4 - 2\/11*d**5 + 0*d**k + 0*d + 4\/11*d**3 + 0.\nAnswer: -2*d**3*(d - 1)*(d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {i: 2, r: 2, j: 2, v: 4, p: 1, e: 3}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1334 is divided by 305.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -221212202 (base 3) to base 10\nAnswer: -18866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9630 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/15856 and 73\/145964390.\nAnswer: 1167715120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3\/2, -1\/7 in increasing order.\nAnswer: -1, -1\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 127911 and 730920.\nAnswer: 5116440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f**3 + 6*f - 17*f + 8*f.\nAnswer: 2*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/7)\/((n**(8\/3)*n*n)\/n))**35 assuming n is positive.\nAnswer: n**(-415\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - 1201694650307?\nAnswer: -1201694650313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lrrrllylkrryr. What is prob of sequence yyrk?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(77))\/sqrt(7) + (3*sqrt(275))**2.\nAnswer: 2*sqrt(11) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) + (sqrt(1200)*-2 - sqrt(1200)))\/sqrt(4) + 0 + 3 - (sqrt(27)\/(sqrt(36)\/sqrt(4)*-6) - (2 + sqrt(3) + 1 + -3)).\nAnswer: -167*sqrt(3)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1d4 + -72?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 - 15*y**2 + 3*y + 19. Determine g(-15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + (-248)\/4 + (2 - 1). Let z be (-21)\/4*(-7)\/(o\/(-528)). What is the highest common factor of z and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1497130 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 14 = -4*w - 0*i, -5*i - 35 = 5*w. Let j(u) be the first derivative of 237*u**2\/2 - 5*u - 2. Let c be j(w). What is c rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 67\/3  (b) 1\/140  (c) -3\/8  (d) -0.091  (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-3)\/9)\/((-320)\/(-2775)) + 3 and -125\/96.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 94478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 - 14. Let p(j) = 0*j - 2*j + 5*j - c. Give p(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11295 and 12053271.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4660, -9322, -13984?\nAnswer: -18646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -7077166500 to the nearest one million.\nAnswer: -7077000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7595?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 42139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -2*a + 27. Let d = 858\/7 - 10163\/84. Calculate the common denominator of -61*4\/a + -1 + 1 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*j - 4. Solve -j*l + 3*l - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -72*u - 206. Let o be g(-3). Solve -4*n = 5*a - o + 4, 2*a - 3 = -n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-2 + 10 - (-70 - -68)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*r**2 - 2*r**2 + 3*r**3)*(-3 + 3 - 2*r) - 4 + 4 - 2*r**4 in the form u*r**2 + f*r**3 + z*r**4 + y*r + i and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -54 - -54. Let l = -0.3 - 0.7. Let r = -4 + l. Which is greater: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3241*a + 3519*a - 7506 = 0 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 117\/(-52)*600\/50.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -6*q**3 - 7*q**2 - 3*q + 3. Let u(f) = -7*f**3 - 7*f**2 - 2*f + 4. Let b(o) = -5*u(o) + 6*v(o). Let l be b(-6). Solve 5*a = -15 - l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of -11*i**2 + i + 19. Calculate p(-3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: 40 (base 13) to base 6\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.046 in 2\/3, -3\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6054, 12180, 18362, 24606, 30918, 37304, 43770?\nAnswer: 50322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 9*t**2 + 54*t + 19. Let m be j(-6). Solve 44*s + m + 69 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61177\/2603 + -3191\/137. Solve 0*t**3 + 0*t - 2\/19 - 2\/19*t**4 + n*t**2 = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -638 - -638. Suppose d = -56*p + 58*p - 2172. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28 - -25 - (-1 + 2)) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of 0*n + 2*n**2 - 2 - 1\/40*n**6 + 1\/2*n**4 + 8*n**3 - 1\/5*n**5. Let r(g) = 0. Calculate g.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 26\/293  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 36*u + 33*u = 72, 4*u - 72 = -4*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -32 + -24?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 5 = -3*t, 4*b - 14*t - 9 = -15*t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -589 + 36\/(-8 + 14). Let p = -180 - m. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 1 = 3. Suppose 0*a + 11*a - 11 - 44 = 0. Put 3, n, a, -3 in decreasing order.\nAnswer: a, n, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12708 - 13742 = -23*r. Suppose 3*h - r = 4*a - 168, -h = 3*a - 310. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {l: 3, c: 1, k: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 - 12 + 28)*(204 + 5 + 121)*(0*w**2 + 0*w**2 + 2*w**2) to g + f*w + k*w**2 and give k.\nAnswer: 3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 6:53 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*i - 7. Let t(p) = p**2 + 4*p + 4. Let y be t(i). What is the remainder when (2\/(-4))\/(y\/(-92)) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*0.284.\nAnswer: -2.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4*b**3 + 7*b**2 - 2*b + 3. Let w(h) = 11*h**3 - 20*h**2 + 6*h - 8. Let x(z) = -8*o(z) - 3*w(z). Suppose -n = -1, -3*g + 3*n + 4 = -2. Give x(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 5, -5*j + 7*k = 2*k - 25. Let u(g) = 0*g**2 + j*g + 3*g**2 - 2*g**2 + 3. Calculate u(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {l: 2, c: 2, q: 2, m: 1, f: 1, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of -7*c**5\/120 - c**4\/24 + 11*c**3 + 13. Let a(p) be the third derivative of o(p). Determine a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -800236 divided by 148\nAnswer: -5407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -77 + 83. Let c(r) = 3*r - 6*r + 7*r - v*r. Let q(g) = -10*g. Calculate c(q(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1713517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 25 = -5*n + 89, 102 = 5*n - 2*c. Is n at most as big as 116\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 - 10 = 4*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 6275  (b) -2\/21  (c) 2\/7  (d) -0.2  (e) -3  (f) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 420 and 3360?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - 386053.1.\nAnswer: -386046.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-5 - -1)\/(-4))\/(-1 + 0). What is the hundreds digit of 1\/i + 11\/((-11)\/(-129))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 164126 to the power of 1\/2, to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -423996 - -262996. What is j rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*g**2*z**2 - 2*g**2 + 2*z**3 + 18*z**2 + 37*z wrt z.\nAnswer: 8*g**2 + 12*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 719483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 + 3)*(-2)\/(-4). Suppose 0 = -u*h - 2*h + 18. Suppose 0 = -5*n + 2*n - h. Sort 3, n, 5 in decreasing order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-3 + (3 + sqrt(931) + sqrt(931) - sqrt(931)) - sqrt(931))*5)**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -179\/4767180 and 25\/1581.\nAnswer: 81042060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1000001000000010 (base 2) to base 15\nAnswer: -9cdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27075*u - 26968*u = -428 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -1. Let v(l) = 7*l - 1. Determine -6*u(f) + 6*v(f).\nAnswer: 42*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from ttotoooooo.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -8728 divided by -9154?\nAnswer: 4364\/4577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 + -21.6. Let w = -5 + 8. What is the third smallest value in o, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -165, -247, -267, -225, -121, 45, 273?\n\"Answer: 31*r**2 - 175*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -38640.68252 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/148 and 55\/28?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6930 - 1.9?\nAnswer: 6928.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 398 + -678. Round w to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -220 + 2?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/361090 and -67\/70.\nAnswer: 2527630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1032 by 6.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/723690 and -151\/20196.\nAnswer: 4342140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 7 = -2*s - 1, 0 = -j - 4. Let x be 22\/s + (-1)\/2. Suppose 21*z = 45 + 39. Solve z*l = 2*c - 26, 3*c - 4*l = 36 - x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 305887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13 - 5 - 3*n + 0 + (n - 4*n + n)*(-1 - 2 - 9).\nAnswer: 21*n + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -8 - (-14 + 24\/8) - -5000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 364, 1602, 3688, 6640, 10476, 15214?\n\"Answer: 3*b**3 + 406*b**2 - b - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/61)*x*x**(-3\/14)*(x*x**(-19))**(-5\/11))**(5\/6) assuming x is positive.\nAnswer: x**(140915\/18788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -57, 6, 2 in ascending order.\nAnswer: -57, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of 7\/40*z**5 + 1\/4*z**3 - 1\/2*z**4 + z + 0 + 1\/2*z**2. Factor y(x).\nAnswer: (x - 1)**2*(7*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 182\/5  (b) -96  (c) -1  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 187 a factor of 2093091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-999)\/189 - ((-9)\/7 - -1). Let w(s) = -21*s + 46. Is 4 a factor of w(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24\/10)\/(-3)*280\/(-1008)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 3*v - 134 = 5*b, -2*v - 4*b + 54 = 0. Let l be (1593 - 23)\/5*(-1)\/2. Let d = v - l. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g + 10*g - 6859 = 0. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -3  (c) -19  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(108)*2 + 5 + sqrt(27) + 0.\nAnswer: 5 + 63*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2. Let s(k) = 409*k + 424*k + 215*k - 94*k. What is s(v(z))?\nAnswer: 954*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10322 - -1346553?\nAnswer: 1360205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7600, 15242, 22914, 30634, 38420, 46290, 54262, 62354?\nAnswer: 70584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -9, -2\/3, -1\/1012, -1\/2?\nAnswer: -1\/1012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 36*o - 39*o + 6, -16*o = 3*j - 56. Solve -i = -5*a + 7, 198*i - 203*i - j = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 769 - 86 + 559*y**2 - 557*y**2 - y to the form w + r*y**2 + c*y and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 132642 or 132960?\nAnswer: 132642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.007 and -0.01.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1440\/880)\/(44\/(-726)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0008379856 to 6 decimal places.\nAnswer: -0.000838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-8)*(-5 + 9). Suppose -c*x = -4*x - q + 12, 5*q - 36 = -2*x. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*q + 6*q. Let f = -14 + q. Let p be 4\/f - (-2)\/3. Let v(x) = -x + 9. What is v(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in -26\/5, -0.29, 0.1, 3?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 8 = -k. Suppose 16 = -k*u + 5*u + 2*z, u - 3*z = -13. Let m be (1 - (-22)\/(-20))\/((-144)\/(-540)). What is the closest to 0.3 in u, -5\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7411217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 + 17. Suppose -w*m - 92 = -347. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8443 is divided by 95.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 18*o**2 - 32*o - 75. Calculate the least common multiple of b(-17) and 16.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 + 58*w**2 - 199*w + 45. Determine v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -16 divided by -515\nAnswer: 16\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - -33. Let p = 46 - j. Suppose -v - 3 = -4*h - 6, 5*h + 4*v = -p. Which is the closest to h?  (a) 2  (b) -3\/7  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*k + 96 = 56*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x**2 - 21*x - 11. Let l(h) = -h**2 - 11*h - 5. Let w(z) = -5*l(z) + 2*t(z). Let a(y) = -4*y - 1. Give -7*a(p) - 2*w(p).\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -183 = -4*g - 3*d, -25*d - 269 = -5*g - 23*d. Solve g*p + 84 = -273 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1.31  (b) -0.5  (c) -4  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 702.8 to 0 decimal places.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1bb3a (base 12) to base 9.\nAnswer: -62671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1189*m**3 + 2*m**2 + 19*m + 1196*m**3 + 2*m to the form s*m**3 + f + y*m**2 + k*m and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 1, 0.4, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 3 + -3 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 3*u - 4. Is (0 - u)\/(-1) - -39 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 22 + (-7)\/(14\/4). Suppose 3*d = -5 + h. Solve 3*k - 2 = d*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 11339783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -120782, -120786, -120802, -120836, -120894, -120982?\n\"Answer: -m**3 + 3*m - 120784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 - g**2 + 6*g**2 + 6*g - 4*g + 4 - 4*g. Let c be (-17)\/(-3) + 4\/(-6). Determine j(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5726420 divided by 28\nAnswer: -204515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 996.5172 grams?\nAnswer: 996517200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2011 - -16566. Does 41 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**3 - 3*t**2 - 4*t - 2. Let s be g(4). Let c = 22 - s. Let v = c + 58. Calculate the highest common factor of v and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, -16, -33, -56, -85, -120?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 942562 is divided by 46?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/4*(-2)\/(-3). Let j = -3838 - -3840. Suppose u + j = n. Solve -l + 9 = n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5.876 + -5.876013792. What is a rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -220 - -94. Let h = c - -221. List the prime factors of h.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 755a?\nAnswer: 755b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-26)\/(-6) - 2\/(-3). Suppose -k + 5 = 3*j - j, -k + b = -2*j. Calculate the greatest common divisor of 25 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3*t = -7, -3*m - m + 39 = t. Let q = 49 - 30. What is the remainder when q is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) -197  (c) -0.329\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8.06 + -16.06. Put 0, 4, 3\/5, g in descending order.\nAnswer: 4, 3\/5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 2*v**2 + 3*v + 2. Let n be a(-3). Let t = 220 - 218. What is the second derivative of n*x - 4*x - 2*x**3 - t*x**3 wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 - 6*n**2 + 2*n - 4. Determine r(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*u - 0*u - 72. Suppose -u*c + 193 = -752. What is the greatest common divisor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35935075?\nAnswer: 5, 11, 149, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 125.3, -0.04, 3, 1 in decreasing order.\nAnswer: 125.3, 3, 1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -19  (b) -65\/4  (c) -1073.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 146.9003ng to kilograms.\nAnswer: 0.0000000001469003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3263 by -3263.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (3 - (2 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/4 and 123\/560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, -0.04, 3\/2, -0.2, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of g**7\/42 + 3*g**6\/25 - 33*g**5\/100 + g**4\/6 + 2668*g. Let u(z) = 0. What is z?\nAnswer: -5, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1643559532.\nAnswer: 2, 410889883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2366427 is divided by 583.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*r - 10 - 47*r**3 + 39*r**3 + 60*r**3 + 2*r**2 + 2*r in the form a*r**2 + p*r + b + f*r**3 and give f.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -6528137 rounded to the nearest 1000?\nAnswer: -6528000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/(-2)*2\/(-5). Let p(r) be the second derivative of 0 - 1\/20*r**5 + 30*r + 1\/3*r**4 - 1\/2*r**3 + 3\/2*r**2. Calculate p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - o + 15. Find the third derivative of -o*z + 22*z**3 + 4*z**2 + 546 - 546 wrt z.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/5 in -0.4, -3\/8, 0.07, 2\/9, 3.6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 136907477 - 57672511 = 4*a, 259439994 = -4*w - 2*a. What is w rounded to the nearest one million?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-3*(sqrt(24) - sqrt(24)*-3) - 2*sqrt(864))\/(-1*sqrt(1200)*-5) + 5.\nAnswer: -12*sqrt(2)\/25 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-5*(sqrt(288) - sqrt(288)*2) + 5 + sqrt(288)*-1 + sqrt(288) + (sqrt(288) - (sqrt(288) + (sqrt(288) + 2)*-1)))**2.\nAnswer: -672*sqrt(2) + 4657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.301386 months in centuries?\nAnswer: 0.000251155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010000001100110111101000110 - 0?\nAnswer: 1010000001100110111101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 209 + -204. Let d = 1.72 - 1.82. What is the closest to 1\/3 in d, -6, -2, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*f - 33 + 5 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 161*w - 8871 - 7*w**3 - 154*w + 8871.\nAnswer: -7*w**3 + 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 140, 357, 716, 1211, 1836, 2585, 3452?\n\"Answer: -v**3 + 77*v**2 - 7*v + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 510*g - 2616 = 507*g. Suppose -3*p + 2648 = g. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c. Let p(g) be the second derivative of -7*g + 0 + 7\/6*g**3 + 0*g**2. Calculate z(p(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n + 7. Suppose 0 = 3*w - 5 - 4. What is the remainder when w is divided by p(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, 1 in increasing order.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 19, 84, 193, 346, 543, 784?\n\"Answer: 22*d**2 - d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 5*r = 15, k = -0*k - 5*r + 10. Suppose -x + 51 = -5*a, 6*x = 2*x + k*a + 204. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 63*a**3 - 3 + 25*a**3 + 13*a**3 + 17*a**3 + 554*a**2 - 553*a**2 as k*a**3 + c*a**2 + y*a + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.00012 - 5. Round z to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65306829 divided by -3.\nAnswer: 21768943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -192994*j**3 + 388167*j**3 - 192020*j**3.\nAnswer: 3153*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 18*a**4 + 498*a**3 + 2336*a**2 - 3800*a + 1344 = 0.\nAnswer: -21, -8, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2036897?\nAnswer: 1091, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 767460 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9*(-2)\/18)\/(11\/5343041) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -3*u + 11. Let l be t(0). Which is greater: 13 or l?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -47, -89, -145, -221, -323?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 3*d = -d + 28, 5*y + 55 = 5*d for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1130\/(-15) - ((-11)\/((-693)\/51) - (-78)\/91)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -101467, -101513, -101559, -101605, -101651, -101697?\nAnswer: -101743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-5) + 1048\/5. What is the second derivative of -210 + y + 8*c**2 - c wrt c?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 + 121*b + 2608. Give z(-95).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let x = 18 - 15. Factor -3*h**3 + 31*h**4 + 32*h**4 - 12*h**2 + 3*h**x - 60*h**4.\nAnswer: 3*h**2*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c - 2*g + 30 + 24, c + 5*g + 9 = 0. Let r = 34 - c. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.492880568 to 3 dps.\nAnswer: 18.493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29392 and 4752?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 5:12 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5589724*m - 5*y = -5589721*m - 13, -3*m - y = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -35\/1016 in 4, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 9:31 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 5*g - 9 = 1, 5*g = -10. Suppose k = 11*w - 7*w + 180. Let m = w - -225. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from csccccscsc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55065 is divided by 148?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -10*x. Let r(g) = 29*g + 1. Let n(o) = -3*r(o) - 8*y(o). Let h be n(-1). Solve 0*z = -2*z + h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/22*(-11)\/(33\/(-18)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000537263587 to six decimal places.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-200)\/2)\/(20 - 41 - -19).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 52*i + 8. Let f(q) = 17*q + 3. What is 8*f(v) - 3*n(v)?\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 66919901 at most 66919900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*r - 2 + 48 = -110 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -11020011121?\nAnswer: 11020011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 471162318.\nAnswer: 2, 3, 11, 59, 120997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q - 8*q**2 + 26*q - 11*q + 2*q**3 - 17*q.\nAnswer: 2*q**3 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -1832*g - 232666. What is k(-127)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -1\/5, -650, 118, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 6 - (-2 - 4\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -3*v. Let k be (-1 - v\/(-1)) + 156. Suppose -4*u + k = u. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 15) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the third derivative of l**5\/15 - 17*l**4\/24 + 7*l**3\/6 - 3*l**2 - 11*l. What is the derivative of f(g) wrt g?\nAnswer: 8*g - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 173, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -2 + 7. Suppose 0*v = -y*v - 25. Suppose 3*b - 3*r = -4*r - 10, -3*b - 5 = 2*r. Is v at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001733214 rounded to five dps?\nAnswer: 0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 92 + -91. Let s = 12 + -15.5. Let b = 4 + s. What is the closest to 0 in -2\/9, l, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0)*(-6 + 3 - 5)*(0*l + l + 10*l) + 2*l - 4*l + l.\nAnswer: 175*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - 1. Suppose -3*f + 5*f - 2 = 0. Let o(g) = 11*g**2 - 10*g + 4. Let c(b) = f*o(b) + 4*u(b). Find the second derivative of c(n) wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 13579893 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 2:46 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2*u - 5. Calculate the remainder when u is divided by 65\/(-130) - (-7)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15723 + -11035. What are the prime factors of k?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79488473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 102 + -102.63. Let x = -0.13 - b. Let m be 0 + 2\/19 - 0. What is the biggest value in m, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 0  (b) -5261408  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 36 = -13*x + 8*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1958\/9683  (b) -4  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9798 and 1086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 17*w - 1135. Give b(66).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + q - 6. Let k(f) = f**2 - f - 2. Let d be k(q). Suppose -d*n + 2*c = -176, -5*c - 257 + 42 = -5*n. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**3)**17 assuming f is positive.\nAnswer: f**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 199*w**3 - 2*w**2 + 3*w - 1. Let x be v(1). Suppose j + 3*b - 6 = 0, -4*b + 1 = x*j - 200*j. Solve -5*s + 2*d - 19 = 0, -3*d - j - 16 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8098 (base 13) in base 9?\nAnswer: -26247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 16*d - 10. Let q be w(15). Suppose q*m + 5 = 50. Let y = m + 105. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.03 or 93620190?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -9*p + 8. What is c(-7)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 11*y - 43 = 21, 0 = -4*j + 3*y + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**4 + d**2 + 1. Let v be ((-2)\/(-4))\/((-2)\/4). Let r(a) = -3*a**2. Suppose 3*u = -6 + 3. Let n(w) = u*r(w) + v*i(w). Factor n(x).\nAnswer: -(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 4*n = -64, 2*s - 94 = 6*n - 4*n. What is the greatest common factor of s and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, r: 3, g: 4, b: 2, d: 2, o: 6}. Give prob of picking 1 j and 1 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(((c*c**(-3\/7)*c)\/c)\/c)*(c*c\/(c\/c**(1\/4)))\/c)**(7\/3)\/((((c*c\/(c**(-1)\/c))\/c)\/c*c)**13)**(3\/22) assuming c is positive.\nAnswer: c**(-185\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(5\/(-55)*2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(((-2)\/(-2))\/(9 + -8)). Let x(a) be the third derivative of 1\/6*a**4 + 1\/20*a**5 + 2\/9*a**f + 0 + 0*a - 2*a**2. Factor x(m).\nAnswer: (3*m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 1:53 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -42 - 14. Calculate the lowest common multiple of h and 6 - (-130)\/(-22) - (-4 + 54\/(-11)).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y + 1536 + 4028 = -3*o, -3968 = -5*y - o. Does 45 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 114, 108, 102?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -16620994+-0.199\nAnswer: -16620994.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17097 - 16185. What is the highest common divisor of s and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of -r**3\/12 - 9*r**2\/4 - 81*r\/4 + 182. Factor y(i).\nAnswer: -(i + 9)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -18*x + 2483. Give h(138).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = -5*z - 4 + 9, 0 = 4*z - 2*d + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -932 + 931.99999338. What is w rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, d: 12, j: 5}. What is prob of sequence jdjd?\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.3589 + 0.1524. Round l to two decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -80 + -94. Let a = 324 + n. Let u be (a\/40)\/(6\/16). What is the highest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28 + 49. Suppose 0 = -3*d + 3*l + 24, -5*l - 9 + 1 = -d. Calculate the remainder when a is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14.31 - -0.31. Let j = q - -15. Let d = -0.01 + 0.41. Which is the nearest to j?  (a) 1  (b) 0.1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 5*h + 39 = -4*t, 2*t - 39 = -3*h. Calculate the remainder when 50 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 - 4*t - 1. Let r be m(-4). Let x(n) be the first derivative of n**2\/2 + n - 1. Calculate x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -378a796 - -4?\nAnswer: -378a792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 72 - 221. Let p = -148.842 - x. What is p rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118315?\nAnswer: 5, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 4:45 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/(-2))\/(29\/(-58)). Do s and -2\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7\/6 - -1. Let v be (1\/9)\/(3\/(-6)). What is the second biggest value in v, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*t = 30 + 66 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5)\/(16 + 4)*-12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 95*t - 269. What is the hundreds digit of q(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(209)\/(-6*(6*sqrt(11) - sqrt(11)))*-5.\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3288.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 9*z - 9*z + z)*(-2*z**2 - 6 + 6).\nAnswer: -2*z**3 - 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/70 - 340\/56?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4\/5 and (-5)\/(-28)*609\/(-35)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24.10045089 - 38.1004508. Let h = -0.9 + 14.9. Let u = h + l. What is u rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -25.696 and -1484288.\nAnswer: -1484313.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + m - 68. Suppose 5*p = s - 12, -5*s + m = -3*p + 1. Put -1, s, -4 in descending order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of -1\/120*r**6 + r**3 - 1\/3*r**4 + 0 + 0*r + r**2 - 2\/15*r**5. Is z(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, 3\/5, -36, 0.1 in decreasing order.\nAnswer: 3\/5, 0.1, -3, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/70704 and -67\/432.\nAnswer: 212112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3150 = 41*z - 43*z + 107*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 7*i**2 + 5*i + 8. Let r be j(6). Let n be ((-50)\/(-15))\/((-1)\/(-6)). Solve r*l + 3*l - n = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*l + 37*l = 13*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3082153291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 237, 998, 2267, 4044, 6329, 9122?\nAnswer: 12423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 28*n + 28. Let f(m) = -36*m - 28. Let g(l) = -5*b(l) - 4*f(l). Give g(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 1.3, 0.5, -3 in descending order.\nAnswer: 1.3, 0.5, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (32\/(-20) + 0)\/((-18)\/45). Let i(v) be the second derivative of -5*v - 6*v**2 + 0 + 0*v**3 - 2\/3*v**f. Differentiate i(j) with respect to j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 452*i = 454*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 + 4*w**2 + 16*w + 112. Give b(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 220 = 3*l + 64. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 + 6*t + 1. Suppose 3*j = 19 + 5. Calculate the lowest common multiple of f(5) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4266 times 4?\nAnswer: -17064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-843)\/1686 + 2\/(-4))*10\/(-4)*-26?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*s + 6985 = 12969. Solve -s = -34*b - 0*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39326707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 288448?\nAnswer: 2, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3157 = z + 10*z. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*g**2 + 0)*(g - g + 4*g + 1 - 1 + 1 - g + (-2*g + g + 2*g)*(34 - 21 - 22)).\nAnswer: 12*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/234084 and 41\/284.\nAnswer: 16619964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*(f*f**8)\/f*f\/((f**(3\/8)*f*f)\/f))\/(f\/f**(-1))**1)**(-1\/7) assuming f is positive.\nAnswer: f**(-53\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/6304 and -49\/788.\nAnswer: 6304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 AM and 1:28 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 770 divide 85137286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pjwpwjjppjp. What is prob of picking 1 p and 1 j?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -80397*i + 2733557. Determine h(34).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 35b5 - -363?\nAnswer: 3918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of -y**4\/2 - 17*y**2\/2 + 80*y + 423. Differentiate n(l) with respect to l.\nAnswer: -6*l**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33 divided by 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4625 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 388.9573ml in litres?\nAnswer: 0.3889573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3184723909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - t = -5*t + 16, -3*z - 2*t = -8. Suppose 3*f + 11 = 2*n - 0*f, 2*n - f - 9 = z. Factor -3*v - 39 + n*v**2 + 39.\nAnswer: v*(4*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 584?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1011222110011 - -21021?\nAnswer: 1011222201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the third derivative of c**7\/105 + 23*c**6\/180 + 59*c**5\/90 + 19*c**4\/12 + 2*c**3 - 3151*c**2. What is y in p(y) = 0?\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 551651 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4824, 10528, 16232, 21936, 27640, 33344?\nAnswer: 39048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 216 and 8826684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of n + 17\/20*n**5 - 81\/40*n**6 + 0 + 0*n**4 + 0*n**3 + 242*n**2. Find the third derivative of p(z) wrt z.\nAnswer: -1458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*46*(-52)\/156.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -2\/3, -111, 1, -2, 3\/115?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -18*p**2 - 867*p + 4360. Give v(5).\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48.47675s to milliseconds.\nAnswer: 48476.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 8*w**2 + 7*w + 8. Let v be (-94)\/(-13) + (-138)\/598. What is g(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -35 - -38. Suppose z - 5 = -0. Solve -h - 2 = -d*i, 2*h - z = -3*i + 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -742, -5, 1\/33 in descending order.\nAnswer: 1\/33, -0.3, -5, -742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/(g**0*g))**(-1\/4)*(g\/((g\/g**0)\/g))**(30\/7))**(-33))**(-2\/11) assuming g is positive.\nAnswer: g**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.03 - 0.77. Let q = -0.86 - p. Let g = -1.06 - q. What is the nearest to g in 1, -2\/11, 2\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*n = 2*b + 117*n + 35, 4*b = 2*n - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.038 - -1.972. Let o = -0.01 + q. Let i = 2.00004 - o. What is i rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/5)\/(1\/20). Suppose 4 = -2*h + f. Suppose w = 3*c - 23, -3*c + 25 = -4*w - 13. What is the lowest common multiple of c and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6204 - 904. List the prime factors of h.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34656 + 66712. Is 206 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -40.2103985 to 2 decimal places.\nAnswer: -40.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-4)\/14)\/1 - 429\/(-7)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -214 - -214.1. Which is the closest to v?  (a) -1\/5  (b) 5  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 483919497.\nAnswer: 3, 53768833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 26062 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 AM and 3:24 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*r + 4*r**3 + 0*r**3 + 6*r + (2*r**2 + 1 - 2*r**2 - 2*r**3)*(1 - 7 + 4) as q*r**3 + s*r + h*r**2 + j and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -10. Suppose r + z = 4*r. Let y be (3\/r)\/((-3)\/(-940)). Round y to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mvpbvggsvgmmpps. Give prob of picking 1 b, 2 p, and 1 s.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(9\/(-9)))\/((-6)\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*s*t**3*z**2 - 574502*s*z**2 + 65*t**3*z**2 - 2*t**3*z + 14*t**2 + 23*t*z**2 + 12*t + z**2 wrt s.\nAnswer: 2*t**3*z**2 - 574502*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 37 - 35 = 2*j, -2*j + 38 = -17*s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -549*p**3 - p**2 + 149*p + 1. Let m(y) = -y**3 - 2*y**2 - 1. Let t(x) = m(x) + q(x). Find the third derivative of t(a) wrt a.\nAnswer: -3300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m - 8892 = -0*m - m. What is the remainder when m is divided by 185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + 11*g**2 - 3*g + 26. Give s(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 172 = -2*c + 270. Calculate the remainder when 408 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500)*-3)**2*4*6*2.\nAnswer: 216000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -52, -81, -100, -103, -84?\n\"Answer: n**3 - n**2 - 33*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 + -39. Which is smaller: g or -8\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9979*g - 9545?\nAnswer: -9979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -5 - 4*q - 5 + 2*q. Let u = -383 - -375. Give h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2646 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0080048 to four dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 146141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*k**4 - 4*k**2 - 3*k**4 - 61 - 4*k + 63 to the form x*k**3 + u*k**2 + t*k + w*k**4 + f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 937772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of -3*p**7\/35 - 5*p**3\/6 + 2*p**2. What is the derivative of y(i) wrt i?\nAnswer: -72*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 2*b = -7*b + 4, 3*r = 5*b - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((5*(4*1*sqrt(162) - (sqrt(162) - 4*-2*sqrt(162))) + 0)**2 + 0).\nAnswer: -202500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -120230 and 3.1.\nAnswer: -120226.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -37280084159 plus -3?\nAnswer: -37280084162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/10 - (-71)\/(-5). Let p = v - -20. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -127480.8904 rounded to the nearest 100?\nAnswer: -127500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1310 and 24235.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(4\/9)*s*s*s*s\/(s**(-6)\/s)*(s**(-2\/5))**43*((s*s\/s**(3\/8))\/s**(-7))\/(s**(-1\/2)*s**(-3)) assuming s is positive.\nAnswer: s**(2293\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-273)\/(-364))\/((-3)\/(-22)))\/(((-30)\/5)\/3).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 659 + -621. What is the highest common divisor of i and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 80 + -2974\nAnswer: -2894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3957\/7 - 11818\/21. Calculate the common denominator of z and ((-940)\/360)\/(2\/(-6)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3710 and 2650130?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -50.78 - -6.68. Let f = y - -44. Which is the smallest value?  (a) -10  (b) f  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 5*z - 4, -h - 16*z + 20 = -14*z. What is the lowest common multiple of h and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -463013*1511\nAnswer: -699612643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84, 631, 2708, 6873, 13852, 24371, 39156, 58933?\nAnswer: 84428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*y + 24681*i - 24685*i + 10, -y + 9 = 5*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/5)\/(38\/(-95))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 520666449 to the nearest integer?\nAnswer: 22818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 39\/2 + -20. Let q = -9.9 + 10. Let x = -3.9 - q. Which is the second biggest value?  (a) r  (b) x  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15933, 15930, 15927, 15924, 15921, 15918?\nAnswer: 15915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 39\/((-858)\/(-44))*-12\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**5 - 14*z**4 - 35*z**3 + 544*z**2 + 2068*z + 1936 = 0. Calculate z.\nAnswer: -4, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2249909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 = 3*k + 4*o, k + 3*o - 120 = -102. Solve 5*r + 3 - k = 5*b, 4*r - 18 = b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 254*i - 4249*i + 464814 = -306*i for i.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1385175?\nAnswer: 3, 5, 11, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-48)\/27 - -2 - 32964\/108. Which is smaller: -304 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42240833.\nAnswer: 42240833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of ((-22)\/5)\/(-4 + (-1195)\/(-300))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75706.\nAnswer: 2, 37853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51\/((-1071)\/14)*(-45)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/(g**(-6)\/g))*g*g\/(g*g**(-3\/4)*g))**(-9\/2) assuming g is positive.\nAnswer: g**(225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 7*k + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 8237517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 116 = 4*l - 3*t, -29 = l - t. Let u = 50 - 94. Let f = l - u. Solve 0 = -5*a + 5*o + 39 - 14, 0 = -3*a + 2*o + f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 + m - 3. What is a(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = 3*y + 6, 4*y = s + 4 - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -4, 1, -5.\nAnswer: -8, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence epyn when four letters picked without replacement from nnpenennbnepnnyeee.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*u + 36*u - 601600003 = -4*x, 2*u + 6 = 0. Round x to the nearest one million.\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*m - m - 4*m + 14*m as h + w*m and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 - 34*a + 116. Calculate q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1754, -1757, -1762, -1769?\n\"Answer: -i**2 - 1753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/(-3 - (6 + -6)). Let x be (1 + a)*(-2561)\/39. Which is bigger: -67 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 211007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 20814853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -285, -374, -515, -702, -929, -1190, -1479, -1790?\nAnswer: -2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1317343458 - -3.5.\nAnswer: -1317343454.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2461378 - -4858760309\/1974. What is the common denominator of 63\/10 and f?\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3368 + -1704. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 divided by -5?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (-453726)\/(-90) - 14\/10 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8886266 is divided by 460.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/60 and 151\/177551274.\nAnswer: 1775512740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 32 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pbb when three letters picked without replacement from bbbbbbpbbbbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 364 + -370. Let g be (4\/y)\/(-7 + (-140)\/(-21)). Solve -i = 4*c - 12, g*i - 2*c = 4*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000004650754 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -5*d, -12*d = -7*d - 5*x. Which is the nearest to d?  (a) 1  (b) 4  (c) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 + 10 + -15 - 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 51725 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-99)\/(-21) + (-12)\/(-42). Let g(p) = 0*p + 3*p**2 - 11*p**2 - p + t*p**2. Calculate g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 24*l + 479. Let a be f(-19). Solve -7*y + 90 = a*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 421632.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w**3 - 2*w**2 - 2*w - 27. Let j(p) = -20 + 3*p - 274*p**3 + 3*p**2 + 22 + 276*p**3 + 25. What is 2*j(d) + 3*x(d)?\nAnswer: -2*d**3 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12 + 22 + 74 + 49)*(0 + 2*d + 0) to q + g*d and give g.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from odoodooomomomoodmo. Give prob of picking 2 d and 1 o.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 8*b. Let k(q) be the first derivative of -38*q**3\/3 - 144. Calculate k(x(y)).\nAnswer: -2432*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 441484249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*(-45)\/(-36)*(4 - 2). Solve -2*t - 2 = 3*y, -u*y - 2*t + 0 = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2284503?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 2*z + 1)*((-3 + 2 - 1)*(-1 + 3 - 4) - 4 - 1 + 4) + (105*z - 24*z - 15*z)*(-5 + 5 + 2) - 5*z + 5*z - 2*z in the form t*z + c and give t.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6840.584 and -24.\nAnswer: 164174.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 minus -483222907?\nAnswer: 483222907.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 67715\/2900 + ((-3)\/30)\/1. Which is the closest to p?  (a) -0.1  (b) -5  (c) -3  (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 880.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - -2. Let t = -56 - b. What are the prime factors of t\/8*(-8)\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119358.\nAnswer: 2, 3, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 + 2*q**4 + 5*q - 5*q - 2*q**2 + 12 in the form j*q + c*q**4 + o + m*q**3 + v*q**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away 460?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18957?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5 + -71855350?\nAnswer: -71855347.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 16) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -31 - -47. Let l(j) = -76*j + 172. Calculate the least common multiple of l(2) and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5629279031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41 + 6 - 6*f - 47.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -5*g + 3*x, 2*g + 40 = -2*g - x. Let w be 6\/g - 1216\/(-6). Let v = w + -90. What is the greatest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 5*b + 2*b. Let y be b\/15 + 35\/(-50). Is y bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 70\/3 + -23. Let u = -0.71196 - -13.71196. Which is the third biggest value?  (a) -6\/11  (b) p  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*q - 450337 + 450337.\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-eight fifths of a centimeter?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 182292128 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10934 is divided by 10837?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1270 (base 12) to base 7.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(-3)\/3 + 8 + -5. Solve u + 0 = x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*t + 9*t - 614100 = 0. Let d be 1\/((-30)\/(-12)) + t\/(-25). What is the greatest common divisor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 8*l**3 + 7*l**2 - 15*l + 9. Calculate h(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/418560 and -51\/139520.\nAnswer: 418560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 3*t - 389, -4*o + 249 = 3*t - 124. List the prime factors of t.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*a + 238393 + 377522 + 1027071 = 0. Is 89 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 795664616 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 30*z - 9*z - 39*z - 889 - 13*z**4 + 150 wrt z?\nAnswer: -52*z**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 324681 (base 13) to base 4\nAnswer: 10200103230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001091 to 6 decimal places.\nAnswer: -0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 5 + (7 - (-5 + 10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-84)\/(-4)*((-48)\/42)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -11 + 6 + 2 - 1. Let t be 0*(b + 65\/15). Solve 5 = -y - t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t - 2. Let p be y(2). Let b = 477\/556 + -875\/1668. What is the second biggest value in -3, b, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 50411 - 9*x**2 - 50411 - 2*x. Let b(w) = -28*w**2 - 7*w. What is 4*b(f) - 14*z(f)?\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8\/109 - -147\/3488. Suppose 2*z = z - 2, -2*f - 14 = -2*z. Let a = f - -8. Is c less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 3*x + v - 6, -v = -3*x - 8. Sort -6, -3, x in descending order.\nAnswer: x, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 962.3729um?\nAnswer: 962372.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 138*n**3 - 174*n**2 - 58*n - 1252765?\nAnswer: 414*n**2 - 348*n - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + (-8 - 16) + (-1 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4668\/(-63) + -1 - (-56)\/588. Sort 4, -20, g.\nAnswer: g, -20, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4256 and 96.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*f + 1308 = -1438 + 226 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gnalgaglngngann. Give prob of picking 1 l, 1 a, and 1 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, b: 1, t: 2, e: 2, v: 2}. What is prob of sequence teb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3480699 and 2047470?\nAnswer: 34806990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 492, -12\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 16) to base 8\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j - 2*j - 30 = 2*k, -3*j + 4*k + 32 = 0. Solve -j*f - 16 = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10910 - -25782. List the prime factors of a.\nAnswer: 2, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.62 - 0.02. Let f = 8\/31 + 29\/248. Which is the third biggest value?  (a) p  (b) 2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -2\/3, 0.2, -4, 1956.22 in ascending order.\nAnswer: -4, -2\/3, 0.2, 6, 1956.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 996632370 to the power of 1\/4, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 8*a + 141 = 39*a, 231*a - 24 = 226*a - 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-10) + -4 + 4947\/165. Is 26 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*m**3 - 17*m + 17*m)*(-10 + 0 + 2)*(2*m + 0*m - m) + 2*m**4 + 0*m**4 + 0*m**4.\nAnswer: -54*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(14)\/((sqrt(18)\/sqrt(9) + sqrt(2))*2) - (sqrt(224)\/sqrt(4)*-5)\/sqrt(800).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -2*x + 30. Suppose -4*v + 9 = -43. Let w be b(v). Suppose g + 3 + 0 = -2*o, -3*g + w*o + 21 = 0. Solve s - 4 = -g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 4*d - d. Let y = d + -29. What is the units digit of y*2*3\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {s: 7, v: 1, k: 9, m: 2}.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = 5*c + 20, 0*w - 62 - 29 = 31*w + 2*c + 62 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 1:06 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*r + 0*r + 11*r - r + 7*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.52 + -0.48. Let z(p) = -p**3 + 7*p**2 + 7*p + 12. Let a be 6\/24 - 31\/(-4). Let m be z(a). What is the third biggest value in -3\/8, -9, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -411.9 + 413.9. What is the nearest to 1 in -0.2, z, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9904122*n - 9735726?\nAnswer: 9904122","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + (-9 - ((-3)\/2)\/((-15)\/(-20))). Put 3, -4, -3, 18, b in decreasing order.\nAnswer: 18, 3, -3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 127569133532 and 85.\nAnswer: 127569133617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/6, 2.691, -1\/6, 17, -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o**3 - o**3 - 26 - 32.\nAnswer: -o**3 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 50150 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1381039 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -877*k = -873*k - 3*a - 9, 3*k + 6 = -2*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-4) + 3\/(-4). Let p(n) = n**3 + 3*n**2 + 3*n + 2. Let a be p(-2). Let o be 0 + a\/(-2 + 3). Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39 - -42. Let d = 81\/1883 - -612701\/1883. Let x = -326 + d. Which is the third smallest value?  (a) v  (b) x  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 40307\/4308 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*y**4 - 22*y + 22*y - 17*y**2 + 2*y**4 wrt y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -103, -227, -375, -553, -767?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -136800 - -684018\/5. Factor p*s - 81\/5 - 1\/5*s**2.\nAnswer: -(s - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 58*s**2 - 1746618*s + 180684.\nAnswer: 2*(s - 30114)*(29*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53\/20 + 783\/20. Calculate the common denominator of x and 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*a - 3*g + 123, -4*a - 4*g = -647 + 667 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of t**4\/24 + 7*t**3\/6 + 1370*t**2. Let g = -26 - -37. Suppose -5*f - 4*v = 4, -2*f + 3*v + g = 31. Give w(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -112626, -225252, -337878?\nAnswer: -450504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 133 + -87. Let l = -46.061 + h. Let d = 25 - 25. Which is smaller: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/1033736 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -952714*s**2 - 395512*s?\nAnswer: -1905428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of -p**3\/3 + p**2\/2 - 7*p + 4. Let i = -3 + 3. Give n(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 296, 285, 258, 209, 132?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -47*c - 1844. Determine j(-40).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -75 + 78.1. Let w = y - 3. Let q = -6 - -4. Which is greater: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 831902109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 127 - 209. Let p = 23 - a. Suppose 2*m + p = 5*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7584 - 13284. What is p rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 6*b - 6. Calculate k(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21199 = 42*f - 85*f. Calculate the greatest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172118 is divided by 994?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**3 + 3*d**3 - 2*d**3 + (-16*d**3 + 63*d - 63*d)*(2 + 1 - 4).\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 10*d**2 - 3*d - 9. Let p(n) = n - 4. Let j = -97 + 113. What is the remainder when f(-10) is divided by p(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - 0. Let b = -7.1 - r. Sort -0.4, -2\/11, b in increasing order.\nAnswer: -0.4, -2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -o**2\/2 - 1275*o - 2549\/2 = 0?\nAnswer: -2549, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 3:01 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 240\/(-855)*(-12)\/32.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -32380 - 4.9?\nAnswer: -32384.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 140 + -138. Suppose -3*c - 7224 = -4*r + r, f*r + 5*c = 4851. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 95556*i**2 - 74076*i.\nAnswer: 191112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*m - 15*m + 10. Let l be (-9)\/3*(-4)\/(-6). Let g = l - m. Calculate the highest common factor of g and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/7 + 7080\/56 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101000 + 10110?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-402)\/(-268)*26\/(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8d28e (base 15) to base 12.\nAnswer: -19812b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 - 13*d + 3. Let t(a) = 2*a**3 - 14*a + 4. Calculate 4*h(r) - 3*t(r).\nAnswer: -2*r**3 - 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 244789 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -13862, -13002, -10572, -5756, 2262, 14298?\n\"Answer: 136*g**3 - 31*g**2 + g - 13968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 14758, -17, 9 in increasing order.\nAnswer: -17, -4, 9, 14758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 + 7*g**2 + g + 13. Let u be v(-7). Let q = -19 - -29. Let h be u\/q + (-186)\/210. Which is the nearest to 0?  (a) 0  (b) 3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {b: 1, e: 1, m: 1, v: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t = 19 - 59. Suppose g + f + 18 = 5*f, 4*f - 24 = -2*g. Suppose -v + t = -g. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/14 + 35\/(2205\/19422). Let o = x - 306. Factor 3*l**2 - 6\/7 + o*l.\nAnswer: 3*(l + 1)*(7*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2330310 - -3?\nAnswer: -2330301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 557, 2171, 4853, 8609, 13445, 19367?\nAnswer: 26381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101 (base 2) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14350 (base 6) to base 16.\nAnswer: 8fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/4*(-412068)\/44790.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/7)\/((m**4\/m)\/m))**(-14)*((m\/m**(2\/15)*m)\/m*m**(-4)\/m)\/(m*m*m**0*m*m)**(-19) assuming m is positive.\nAnswer: m**(1438\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 88553, 176922, 265291?\n\"Answer: 88369*k + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 20 = -7*r, -5*s - 185 = 4*r. Is (s\/(-12))\/(3 - (-1211)\/(-404)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2*(-2)\/6)\/((-2)\/(-3)). Let m(p) = 3445*p**3 - 3*p**2 + 1. Let c be m(l). Let b be c\/(-12) - 4\/(-16)*-1. Round b to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27035 divided by -1.\nAnswer: 27035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 10340*a - 658. Let v(x) = 94*x - 6. Let f(c) = -3*r(c) + 329*v(c). Let g(i) = -3*i**2. Calculate f(g(m)).\nAnswer: 282*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v - v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9852373*u**3 - 11441294.\nAnswer: -29557119*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 5  (b) -3  (c) -71358443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/3 - 75\/(-9). Let n(i) = i + 7. Let j(r) = 2*r + 18. Let v(m) = -5*j(m) + 12*n(m). Is v(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5080797 is divided by 111.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 12*r + 11. Let g(k) = 4*k + 4. Give 11*g(x) - 4*h(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1101111110011111100 (base 2) to base 11.\nAnswer: -2930a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -239276 + -125489. Let z = m - -364765.476333. Let s = z + -0.476. Round s to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 9:02 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-136390)\/7116 + 0 + 19.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 978 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 234176 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/3, 2, -13, 0, 2\/49.\nAnswer: -13, -4\/3, 0, 2\/49, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of c**6\/360 - c**5\/90 - c**4\/18 + 4*c**3\/9 - 12*c**2. Let w(g) = 0. What is g?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b - 1. Let h(y) = -145*y. Let t(d) = -11*d. Let g(x) = -3*h(x) + 40*t(x). Let f(p) = -p - 1. Let k(o) = -3*f(o) + g(o). Calculate -5*c(l) - k(l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, w: 1, g: 3}. What is prob of picking 1 w and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u**3 + 2*u**2 - u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 + 24 = -9*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.33 + -548626?\nAnswer: -548589.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 762172 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -62 - -62.00033. What is t rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138854952 a multiple of 1864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1\/(-1))\/((43\/4)\/43). Suppose -3*x = -4*x + 2. Sort q, x, -5, -1 in ascending order.\nAnswer: -5, q, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570.7796 weeks in seconds?\nAnswer: 345207502.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (28822\/(-2))\/((-27 + 19)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68305883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 - 7 - 18)*(-j - 2 + 1 + 4).\nAnswer: 44*j - 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 7:06 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -1 + 399*v - 391*v + 4. Let o(y) = 23*y + 8. What is -17*g(m) + 6*o(m)?\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -341*o**2 + 14*o + 119. Let b(j) = 171*j**2 - 8*j - 68. Let p(f) = -7*b(f) - 4*r(f). Let g(w) = -5*w**2. Give g(p(h)).\nAnswer: -139445*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 + -15. Let z = r + 9. Suppose p = z*p. Solve p = -6*d + 2*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 51 + -55. Put -2\/9, 5, -12, p in decreasing order.\nAnswer: 5, -2\/9, p, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -115, -104, -105, -124, -167, -240?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*m**3*n**2*u + m**3*n**2 - 2*m**3*u + 2*m*u + 227 with respect to u.\nAnswer: 3*m**3*n**2 - 2*m**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 + 37 - (3 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmemxwmmxjjm. Give prob of sequence wem.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8\/7 + 68\/35. What is the closest to 0 in w, -0.1, -0.2, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 + 3*y - 52. Let m be r(6). Let o(l) = -4*l - 3. Let g(h) = -5*h - 2. Give m*o(c) - 3*g(c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**4 - c**4 - c**4)*(3 - 3 - 2)*(873 - 409 - 415).\nAnswer: -98*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2*1)\/((-16)\/32). Let q be (7 + (9 - x))*1. Solve -4*f + f - q = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*i - 2 + 0 - 2.\nAnswer: -7*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 - 0)*((-206)\/6 - 2). What is the third derivative of f*u**6 + 3*u**2 - 12*u**2 + 49*u**3 - 49*u**3 wrt u?\nAnswer: 13080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (2\/(-9))\/((-84)\/531) and -3\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 165 in decreasing order.\nAnswer: 165, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 PM and 2:56 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3675915 and 90885?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/11816 and -89\/154.\nAnswer: 129976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 278333 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - p - 1, -o = -2*p - 3*p + 3. Suppose -15 = 3*l, -o*g + 60 = -4*l + 6. Solve 2 = 5*z + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**3\/2 + 6830*j**2 + 867665*j\/2 - 6769101915.\nAnswer: 5*(j - 846)*(j + 1789)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the third derivative of 0*b**5 - 1\/75*b**6 + 0*b**4 - 2\/175*b**7 - 9*b**2 + 0*b + 0 + 0*b**3 + 1\/84*b**8. Determine o, given that c(o) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (39*111\/2405)\/((2\/(-10))\/(-1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + b969?\nAnswer: b969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**2 + 2*o**2 + 2*o**2)*(0*o - 4*o - 5*o).\nAnswer: -27*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.033  (b) 0.5  (c) 2  (d) -0.04  (e) 2.54  (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = 4*t - 10, 4*p = -5*t + 9 - 17 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) 0.5  (c) 4\/7  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 368012.4 decades in centuries?\nAnswer: 36801.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3*v - 1)*((19*v - 7*v + 7*v)*(-1 - 1 + 0) - 2*v + 15*v - 2*v).\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57887 - 338729 - 112584 = -134*l. Is 152 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + 66. Suppose -z + 38 + d = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9594310 rounded to the nearest ten thousand?\nAnswer: 9590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -233 - d + 246*d**2 + 233 - d in the form c + g*d + w*d**2 and give w.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x**2. Suppose 0*u = 4*u. Let i(s) = -8 + u + 8 + 4*s**2. Give n(i(b)).\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-18 - (-330)\/18)*(1 + 770) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/2)\/((-1)\/2). Suppose -5*i - 16 = -0*a - 3*a, 0 = 5*a - 4*i - 5. Let k be ((187\/55)\/17)\/(11\/220). Sort p, 3, a, k in ascending order.\nAnswer: a, p, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 3*k**3 + k - 10 - k**4 - 2*k in the form t*k + u*k**2 + z + f*k**4 + m*k**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-6*(sqrt(816) + sqrt(816)*-1) - sqrt(816)))\/(-6*(-5*(sqrt(3)*1 - sqrt(3)) + sqrt(6)\/sqrt(2)*5)) + -3.\nAnswer: -3 - 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1533.1 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14760)\/(-6765))\/(44\/(-1815)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -226480 (base 9) to base 15\nAnswer: -2a460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1110 and 84399405?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(2\/25)*j**(1\/10))\/((j**(-8)\/j)\/(j*(j*j**(-2\/15))\/j*j)) assuming j is positive.\nAnswer: j**(1807\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 247184 is divided by 46.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-27)\/(-12) + 2\/(-8). Suppose w = j - 0. Let s be (-6)\/(((-9)\/j)\/3). What is the greatest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -102*v**5 + 177*v + 3.\nAnswer: -2040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92 + -92 + (0 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -62 + 63. Calculate the highest common factor of 5 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13591523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5812*d*i**3 - 19063*i**3 wrt d?\nAnswer: 5812*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 104 and 47742136?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 137\/154 - 15\/14. Let h = 35.5 + -32. Let u = 2.5 - h. Which is the second biggest value?  (a) 4  (b) m  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 + 32723929\nAnswer: 32723929.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yccywyyycwyyww. Give prob of picking 1 w and 1 y.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 10:25 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 658 + -1317\/2. Sort u, -120, -4 in descending order.\nAnswer: u, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.0174 to two decimal places.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 7  (b) 0.5  (c) 188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m - 9. Give f(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v**5 - v**3 - v**2 + v - 1. Let g(m) = 1004*m**5 + 3*m**3 + 5*m**2 - 5*m + 471. Let s(z) = -3*f(z) - g(z). Find the third derivative of s(j) wrt j.\nAnswer: -60600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -50.53 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -53162  (b) 0.3  (c) 0  (d) -1\/2  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 309 = 14*d + 99. Solve d = 6*g - g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173*y = 62*y + 666. Let c(u) be the first derivative of 3\/4*u + 1\/2*u**3 - 13 + 3\/8*u**4 - 9\/8*u**2 + 1\/8*u**y - 9\/20*u**5. Find v, given that c(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/((t\/(((t\/(t*(t\/t**(2\/7))\/t))\/t)\/t*t))\/t))**27\/((t*t\/(t**(-1\/2)*t*t)*t*t*t)\/t)**(-1\/16) assuming t is positive.\nAnswer: t**(1763\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -11, 0.1.\nAnswer: -11, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = 2*k + 1, 2*m + 11 = -m - k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - z = -f + 20, -5*f - 55 = 5*z. Which is greater: -87\/10 or f?\nAnswer: -87\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -5 - 8 + 128*w**2 + w**3 - 245*w**2 + 16*w + 128*w**2. Let o be b(-9). Suppose 19*h = 15*h. Sort h, o, -3 in ascending order.\nAnswer: -3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 250702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -0*q. Suppose -2 = -a - q. Let h(k) = -k - 5 - k**a - 1 + 2 - 5*k. Determine h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, s: 1, o: 1, c: 2, n: 11}. Give prob of picking 1 s and 2 j.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -48191 less than or equal to -45239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 9*v = -8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 208*d**3 - 4746*d**3 - 16*d + 14*d - 197*d**3.\nAnswer: -4735*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2324724 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 PM and 8:55 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, c: 1, e: 3, w: 1, y: 3, l: 2}. What is prob of picking 1 y, 1 l, 1 e, and 1 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -53?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = t - 15, -t - h = 4*h - 19. Suppose 4*z + t = 37. Let q = 71 + -69. Solve z*f - q*f = -20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -142*a - 13918. Determine s(-98).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -5*v + 85. Let z = v - 65\/4. What is the common denominator of z and -63\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1065\/26 - (-22 + (-6852)\/(-312)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0*(-4 + (-91)\/(-21)). Let k(j) = j**2 + j + 11. What is k(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -2*l**3 + 286*l**2 - 313*l - 35380. Give j(141).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 558933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-90*v - 65*v - 538*v)*(5*v**2 + 0*v**2 - 3*v**2).\nAnswer: -1386*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 4. Suppose -25 = -5*b + 4*x, -2*x = s*b - 21 - 4. Suppose -3*a + 56 = 11. Solve -a - b = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 16  (b) -1\/804  (c) -0.1  (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*u - u - 416. Calculate the remainder when 89 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -852703*c*j - 179006*j wrt c?\nAnswer: -852703*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1144868?\nAnswer: 2, 79, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of 1\/2*k**3 + 3\/20*k**5 + 2*k + 4 + 0*k**2 - 1\/2*k**4. Let o(x) be the first derivative of u(x). Factor o(g).\nAnswer: 3*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -5*x**3 - 4*x**2 - 5*x + 4. Let t(a) = 5*a**3 + 3*a**2 + 4*a - 3. Let i(w) = -4*g(w) - 5*t(w). Give i(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 20285 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 6. What is the least common multiple of 3 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-7)\/((-56)\/12))\/(6\/(-8)). Let d be (-26)\/10*(-20)\/(-24). Let h = r - d. Is h greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 23386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-14)\/(-21))\/(4\/(-3)). What is the biggest value in -0.3, q, 0.2, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 512175896 to the power of 1\/3, to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -272*v = -277*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 1, -5, 0.2, 4\/7, -10\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -192 - 85. Let j = -277 - v. Put -1.1, -0.5, 3\/5, j in decreasing order.\nAnswer: 3\/5, j, -0.5, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 14*d**3 + 6*d**2 + 13*d. Let o(u) = 183*u**3 + 78*u**2 + 171*u. Let c(j) = 2*o(j) - 27*w(j). Let f(x) = x**3 + x. Determine c(a) + 9*f(a).\nAnswer: -3*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: -8 - -101246\nAnswer: 101238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 7 = -33. What is the derivative of -v**4 + 3*v**4 - 7 - 7 + h wrt v?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = 6 - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -118214 divided by 2\nAnswer: -59107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4, -197, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.8 + 5.3. Let m be 6\/10*4\/6. Which is the closest to m?  (a) -3  (b) y  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -m**5\/5 - 2*m**4\/5 + 62*m**3\/5 + 288*m**2\/5 + 387*m\/5 + 162\/5 = 0.\nAnswer: -6, -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*484.\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*z = k - 49*z + 9, 5*k - 4*z + 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15.371 + -15.4. Let z = w - -0.029. Let r = 0 - 0.4. Which is the second smallest value?  (a) z  (b) r  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away -0.2177?\nAnswer: -0.0823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/2)\/((-3)\/(-312)). Let j be (2\/4)\/(2\/o). Let r = j - 4. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 11*y. Let z(u) = 18*u**2. Determine z(k(b)).\nAnswer: 2178*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from dkdttttdttd.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 5*n = 1295, -5*w - 4*n - 1039 - 1102 = 0. Let s = 666 - w. List the prime factors of s.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 - (0 - (-12 - 0)) - (-5 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 304590.7 days to seconds.\nAnswer: 26316636480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -319*v - 5*z + z - 2556 = 0, 4*v = -2*z + 8 - 11 - 31 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 500 (base 12) in base 4?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -7*r + 3. Let j(v) = -3*v + 12. Let c be j(4). Suppose -2*p + o + 4 = c, -4*p - p + 10 = -2*o. Determine s(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -s**4\/4 + 2*s**3 - 4*s**2 - 2*s + 4. Let d be w(4). Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*m**2 + 142\/3*m + 840.\nAnswer: 2*(m + 35)*(m + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -42 - -45. Suppose 0 = -f + 4*j + 5, -4*j - 1 - 14 = -c*f. Suppose -l = 4*q - 129, 0 = l - 2*l + f*q + 174. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7 and 107.\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of 2*b**7\/105 - 29*b**6\/120 - 61*b**5\/60 - 19*b**4\/24 + 3*b**3\/2 - 65*b**2 + 5. Factor m(l).\nAnswer: (l - 9)*(l + 1)**2*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -83 - -98. Let q(k) = 37 - n*k - 61 + k**3 - 22*k**2 + 29. Is q(24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25997006*c**5 + 1691433*c**2 wrt c.\nAnswer: 1559820360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/4)*(t*t**(4\/5))\/t)**(12\/5))**(-1\/7) assuming t is positive.\nAnswer: t**(-9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 - 21*f - 110. Let a be i(28). Is 23 a factor of (a\/(-16) - -5)*-30*24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 - 11*v + 2. Let b be y(11). Find the second derivative of p - 41*p**2 + 35*p**b - 10*p wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3460296 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 425380236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 62*t**2 - 10 + 33.\nAnswer: 62*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.05 and -529186.\nAnswer: -529186.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103*c + 46*c - 2111*c**3 + 11*c + 46*c.\nAnswer: -2111*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 66, -0.45, -0.1, -1, 18\/11?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-10)*((-5301)\/(-341) + -16). Which is the nearest to w?  (a) -217  (b) 1\/3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2 - 7*s + 37. What is b(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34303\/278055 - 11\/3006. Calculate the common denominator of n and -52\/55.\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 109 = -314. Let b = t + -25. Calculate the greatest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j**3 + 38*j**2 - 45. Let p(s) = -7*s**2 + 9. Let o(l) = -4*d(l) - 22*p(l). Let h(b) = 4*b**3 - b**2 + 6. Determine -8*h(g) - 3*o(g).\nAnswer: 4*g**3 + 2*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 2 = -l + 3, -4*b - 13 = 3*l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-27)\/(-45)*(-4)\/6. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127960.\nAnswer: 2, 5, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2315246 is divided by 270.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (2355\/(-628))\/(-8 + 99\/12) + -85?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30*a**4 + 45*a**4 + 69*a - 71*a)*(-4 + 3*a + 4).\nAnswer: 225*a**5 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 4*k - 3. Let j(n) = 5*n - 4. Let c(b) = -3*j(b) + 4*q(b). Let t be c(-3). Let u(m) = m**2 - m - 2. What is u(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, t: 1, x: 1, d: 1, p: 1, g: 1}. Give prob of picking 1 g and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.76?  (a) -0.3  (b) -2  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, -3\/19 in decreasing order.\nAnswer: -3\/19, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2198, 3800, 5400, 6998, 8594?\nAnswer: 10188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 953 is divided by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 671*p - 41. Let x = 281 + -276. Is f(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 19*b + 13. Let x(q) = -6*q - 4. Suppose 12*f = 2*f + 70. Determine f*x(n) + 2*z(n).\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 + s + 2. Let n be l(0). Let x be 11\/3 + (-216)\/324. Solve 4*u = 4, -4*f - f = -n*u - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.45 + 61.55. Let g = t - 61.61. What is g rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9 + 0*c + 5 - 2*c**3 - 2*c**4 + c + 2 + c**2 as q*c**3 + a*c**2 + i + x*c**4 + j*c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (7\/1)\/(-5 + (-27)\/(-6)). Which is the smallest value?  (a) d  (b) -4\/7  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 374\/(-238) + (-4)\/(-7) + 3. Solve -4*u - 26 = 3*p, u - 5*p - g = 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 11*a**2 + 1329*a - 11336. What is z(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 208325 and 64741?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/(64\/8))\/(21\/(15\/(-5)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 797.\nAnswer: 3\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1359c + -1?\nAnswer: 1359b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 4*r = -31, 4*r = -4*s + 264 - 268 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 52, -6, -5, -93896 in decreasing order.\nAnswer: 52, -5, -6, -93896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-6)*192\/(-608)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 94*z - 26 = -91*z, 3*r = z + 10. Let m be (-1)\/1 - 9\/(-4). What is the nearest to r in m, 0.079, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 4 + 1)*(-2 + 4 + 3)*((-3*k + 4*k - 2*k)*(4 - 3 + 0) - 33 - 5*k + 33).\nAnswer: -300*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1155\/(-550) - (-15)\/6. Let a = 8 - 8.06. What is the nearest to 1 in a, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -189035, -377884, -566733, -755582, -944431?\n\"Answer: -188849*j - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 87 - 82. Solve i*r + 6 = -3*t, r - 10 = -4*t - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -1\/3*s**4 + 1\/120*s**6 + 0*s + 0 + 3\/2*s**3 + 2\/15*s**5 - 14*s**2. Give h(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 + 3*j**2. Let o be d(-3). Suppose o = -h + 2*h - 2*n - 11, -2*h - 14 = 5*n. Suppose -36 = -0*s - h*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 3*q = 0. Suppose q = 2*z + 3*z + 60. Find the common denominator of 62\/3 and -2*1\/z*118.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -g**4\/8 + 3*g**3\/2 + 251*g**2 - 2*g. Calculate q(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = -5*d, -51*d + 57*d + 1 = 2*l - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 0. Let l = u + 19. Suppose 0*q = -3*q + l. Solve -y + q - 1 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 293418044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 1226 = 4*h, -3*h - 4*n + 600 = -h. Calculate the remainder when h is divided by 2084\/4689 - (2\/12)\/((-3)\/298).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -144719, -143068, -140307, -136430, -131431?\nAnswer: -125304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.3 in -2\/5, -0.5, 55?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1621242 is divided by 9006.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away -73.02171?\nAnswer: 71.02171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**2\/2 - i + 649. Let n be (2\/(-4))\/((-2)\/12). Let v(f) = -4*f - 1. Determine n*r(s) - v(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**7*c)\/(((c*c*c*c**21)\/c*c)\/c*c*c)*((c\/(c*((c*c\/c**(-4\/21))\/c)\/c*c))\/c)\/c*c**(-14)\/c assuming c is positive.\nAnswer: c**(-697\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in 74, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 3) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8703001 or 8703000?\nAnswer: 8703000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*a**3 + 3 + 4*a - 8*a - 11 + a**4 + 10*a**2 + 8 in the form i*a + y*a**2 + b*a**4 + k*a**3 + c and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -7 + 24*t + 17*t**2 - 21*t + 0 - 7 + t**3. Suppose 9*w + 6*w = -240. What is the hundreds digit of j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -6.4. Let k = 41 - 39. What is the closest to q in 1, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.7115  (b) 6\/7  (c) 12\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -435890, -435715, -435540, -435365?\nAnswer: -435190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d - 110*d - 784*d + ((4 + 2 - 4)*(2 - 2 + d) + d - 3*d + 4*d)*(-4 + 1 + 2) + 4*d - 3*d + 0*d.\nAnswer: -898*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from onooooooonsnoonnnso. Give prob of picking 2 s and 1 n.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of 25*m**5\/4 - 81*m**2\/2 + 82*m. What is the first derivative of y(x) wrt x?\nAnswer: 375*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(-2\/5))\/(d\/d**(-2\/25)))**(-33) assuming d is positive.\nAnswer: d**(-429\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/27, 3, 2697, 1\/4?\nAnswer: 2697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2174302 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*4\/2*(-99)\/1782?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5242484?\nAnswer: 2, 13, 181, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3511245031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -13*j**3 - 482*j**2 - 38*j - 92. Calculate k(-37).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*-594.9\nAnswer: -41.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 570\/665*7\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 576 - -27. Does 67 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 12 + -16 - (-4 - 0). Suppose -2*f + f = v - 53, -f - 5*v + 65 = i. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10929794 divided by 5363?\nAnswer: -2038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 23426 (base 7) to base 16\nAnswer: 179f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 4372*a**3 + 13*a**2 + 39*a + 7243. Let b(v) = 1457*v**3 + 4*v**2 + 12*v + 2414. Let c(l) = 13*b(l) - 4*m(l). Find the first derivative of c(y) wrt y.\nAnswer: 4359*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 92\/2025 and 113\/156.\nAnswer: 105300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.9 - -8.03. Let y = k + -99.13. Let i = -98.6 - y. What is the second smallest value in 2\/7, -0.39, i, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -591*d = -3*h - 585*d + 30, -3*d - 13 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**4 - t**4 + 4*t**4 - 4*t**4 - 8*t**4 + 2*t**4 + (-4*t + 0*t + 5*t)*(5*t**3 + 0*t**3 - 4*t**3) - 103*t**2 - 2*t**4 + 103*t**2.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*f**4*o + 2*f**2*o - 3*f**2 - 31*f - o wrt f.\nAnswer: -156*f**2*o + 4*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 126, 2, -204, 7, -5 in increasing order.\nAnswer: -204, -5, 1, 2, 3, 7, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8219466 centimeters to micrometers.\nAnswer: 8219.466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1332 + -3?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -6486 divided by -3243\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155057?\nAnswer: 7, 17, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*n = -45*n - 160. Suppose -4*b = n, -2*q + b = -2*b - 588. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.367755 times 1?\nAnswer: 41.367755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16882, 16888, 16894, 16894, 16882, 16852, 16798?\nAnswer: 16714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 v, and 1 w when three letters picked without replacement from mvwvmmwww.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 11:06 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 63.8763 and 0.1.\nAnswer: 6.38763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -4*a - 18. Let z = 13 - 21. Does 14 divide s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.00591 - 3.99409. Let j(o) = 2 - 73*o**2 + 78*o**2 + o - 4. Let s be j(-2). Which is the second smallest value?  (a) q  (b) s  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -3*p + 6. Suppose v - 2*q + 0*q = -p, 3*q + 49 = -5*v. Let j be 4\/6*(2 - 8). Which is the third smallest value?  (a) v  (b) j  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, p: 2, s: 4, r: 6, j: 1}. Give prob of picking 1 r and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from qjovjvjboovbvbvbjy.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 4*v + 44 + 90, 5*o + 2*v + 206 = 0. Is -43 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - 2. Let n be (r\/8)\/(2\/2). Is n greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1573*c**2*t - 1100220*c**2 - 1959*c*t**3 + 5*c + 1 wrt t?\nAnswer: -1573*c**2 - 5877*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 9:09 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 5:34 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**0)**(-7)*((p**(-3)*p)\/p)**49 assuming p is positive.\nAnswer: p**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 4*w - 4*w)*(-18 + 67 - 1).\nAnswer: -144*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 4 + -1 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(-79*k**4 - 148*k**5 + 5*k**2 + 161*k**4 - 81*k**4).\nAnswer: -296*k**5 + 2*k**4 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -6*(-2)\/((-8)\/(-6)). Suppose 2*v + v - j = 0. Suppose 0*t - v*t = -18. Solve -t = 2*k - 3*i, -3 = -2*k + 4*i - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130176 is divided by 5652?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -246 by -6.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -8779 and -18323.\nAnswer: -27102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -271 = 13*y - 18*y + 58*u, 5*y = -2*u + 151 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -459*c + 157 = 1262*c - 89335 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 - 4. Suppose -65 = h + 33. Let f = 113 + h. Solve 3 - f = -w*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 5\/3  (c) -3\/4  (d) -29.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nvaazvnzznn. What is prob of picking 2 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, a: 2, u: 3, m: 1, p: 1, f: 7}. What is prob of sequence map?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 90 - 79. Solve m = -3*o + s, 2*o = -o + 3*m + 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - 5*r - 43. What is the remainder when l(11) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16876 in -1\/12, -5, 0.1, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2250374*j*w**3 - 2*j*w + 5036679*j + 7*w**3 - 3*w**2 wrt w.\nAnswer: 13502244*j + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -857.5 - -861.5. What is the nearest to 1\/4 in -0.4, -1, 6\/23, d?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -679 - -992. Suppose 4*a + 3*d = 250, -4*d + 0*d = 5*a - l. Calculate the remainder when a is divided by 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 694*q**3*z**2 + 5896*q**3*z + q**3 - 4*q**2*z**2 - q*z**2 - 3*q*z wrt z.\nAnswer: 1388*q**3 - 8*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.16, 0, 68, 5, 3.\nAnswer: 0, 0.16, 2, 3, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 2\/(-8) + 141\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8159195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 2 d, and 1 h when four letters picked without replacement from johdojdodod.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/7)\/(t\/t**(-2\/7))*t**(-1\/7)\/(t**1*t))\/(t**(-3)*t**(-2)*t*t**(-2)*(t\/(t**(-3)*t*t))\/t*t) assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -75, -126, -181, -240, -303, -370, -441?\n\"Answer: -2*r**2 - 45*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1735 - 864. Suppose -d + 247 = -y. Calculate the highest common divisor of 26 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 6*a = 15. Let l(p) = -1 + 2*p + 6 - p**3 - 1 + 0*p**2 - 3*p**2. Give l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 166668 and -4?\nAnswer: 166672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/3 + 45\/(-540)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 5:13 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1671*d**2 + 1 + 4033*d**2 + 0 - 1.\nAnswer: 2362*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-31264254)\/(-1029) + (-2)\/28*2.\nAnswer: 23, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-45)\/(-24)*(-4 + (-88)\/(-20)). Which is the nearest to -10?  (a) f  (b) 3  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120758*v**5\/7 - 2173648*v**4\/7 - 1052330*v**3 - 8694820*v**2\/7 - 3381512*v\/7 - 16 = 0. What is v?\nAnswer: -14, -2, -1, -2\/60379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3790115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -100933700 rounded to the nearest 1000000?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5198, -10642, -16088, -21536, -26986, -32438, -37892?\n\"Answer: -h**2 - 5441*h + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7725899 is divided by 156.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-464)\/(-288) + (-12)\/8. What is the nearest to -1 in -0.5, -3\/4, q?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 9*c + 9. Let m(g) = -80*g - 80. Let z(o) = -35*d(o) - 4*m(o). Let l(f) = 9*f + 9. Determine -3*l(i) + 5*z(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**4 + 0*k + 0*k - 5*k**4 + 3*k**4 + 0*k**4 + (2 + 0 - 4)*(-k**4 - 2*k**4 + 2*k**4) + k + 2*k**4 - k)*(4*k + 0*k - 2*k)*(62 - 101 - 128).\nAnswer: -1002*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 753*i - 660805 - 781943. List the prime factors of i.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/11)\/u**(-1\/5))\/(u*u\/(u\/u**2))**(-22)*(u*u\/(u**(-7)*u)*u*u**(-14))**(-3\/22) assuming u is positive.\nAnswer: u**(7377\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 3*g - 5770 = -5*t, 4*t - 4643 = -3*g. Let m = t - 438. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (350\/(-315))\/(10\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -222024 + -23221?\nAnswer: -300300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8 - 374\/(-55)) + (-126)\/(-80). Let v = -2.4 + 2. Let t = v + 0.6. Sort 1, h, t in decreasing order.\nAnswer: 1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from qooooqoooooq.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/5?  (a) 80  (b) 497\/4  (c) -1.8  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86180 + 86180 - 13*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tgpqggtttt. What is prob of sequence tgpq?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1243536ml to litres.\nAnswer: 0.0001243536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(88)*-1*1)\/(-4*(sqrt(40)\/sqrt(5)*-1 + sqrt(8) + sqrt(8))))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - (3*sqrt(66) + sqrt(66))*-3)\/((3*sqrt(24) + sqrt(24))\/sqrt(4)).\nAnswer: 13*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3674, 7348, 11022, 14696, 18370, 22044?\n\"Answer: 3674*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24 - -26. Suppose 5*s - x*m - m = 84, -2*s + m = -34. Suppose 5*z - 3*f = s, 16 = z + 3*z - 4*f. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 12132709, 12132733, 12132755, 12132775, 12132793, 12132809, 12132823?\n\"Answer: -z**2 + 27*z + 12132683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 63 + -71. Let a be 161*(0 + l\/(-28)). Find the second derivative of -32*m + m - a*m**2 - 16*m + 17*m wrt m.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*o**4 + 5*o - 5*o + (o**2 - o**2 - 2*o**2)*(3*o**2 - 2*o**2 + o**2) + 2*o**3 - 2*o**3 + 2*o**4.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4882 - 865. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2\/13, -3.37, -57, -0.3 in decreasing order.\nAnswer: 1, -2\/13, -0.3, -3.37, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*p - 18*p + 3. Suppose 5*o + d - 1 = 0, 2*o + 3*d + 18 = -2*d. Calculate the remainder when ((-4)\/(-5))\/(o\/5) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1967762*l**4 + 9*l**3*r**2 + 2039*l**2*r**2 + l*r**2 - 33*l*r wrt l?\nAnswer: -47226288*l + 54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -46 + 50. Which is the nearest to 0?  (a) z  (b) 5  (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/11284 and 25\/52?\nAnswer: 11284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + 16*d - 22. Let m be k(-15). Which is bigger: m or -43?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 - -21. Let t(o) = 6*o. Let x be t(r). Let d = -47 + 122. Calculate the highest common factor of x and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -3*s - 9. Let k be r(-7). Let m be (-6 - 1)\/((-3)\/k). Solve -4*l = 4*d - 2*l + 22, 0 = -5*d - 3*l - m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from roorvvrrrlrorrr. Give prob of sequence rv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3 + 258367*d**2 - 16686438751*d - 250354717215.\nAnswer: -(d - 129191)**2*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -73498a + -3?\nAnswer: -734991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/8 - (-3)\/(-9))*21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u + 14*u = 47*u. Put 552, 2, -4, u in decreasing order.\nAnswer: 552, 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/252 and -97\/1902684.\nAnswer: 5708052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6615*l**2 + 420*l - 20\/3.\nAnswer: -5*(63*l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -28*q**2 + 1592*q + 1856 = 0.\nAnswer: -8\/7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*j**3 + 10*j**3 + 3*j**2 - 4*j**3 in the form p*j + g*j**3 + a*j**2 + u and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 43353709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 + 19. Let y = -1.4 + -1.8. Let v = 3 + y. Put v, h, 0.4 in decreasing order.\nAnswer: h, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 9057200.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 1:41 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4*i = -i - 3, 0 = -5*o + 2*i - 19. Let z be -1 - o\/3*5. Suppose -3*t - 6 = 0, z*u + 2*t - 7*t - 98 = 0. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of f**5\/20 + f**4\/6 - 15*f**3\/2 - 35*f**2. What is the least common multiple of l(-7) and 14?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/90*414\/(-36) - 1\/9. Solve -8\/5*x**3 + 0*x + 0 + 0*x**2 - m*x**4 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(0 + 3*c**3 + 0) + 12*c**2 - 12*c**2 + 29*c**3.\nAnswer: 35*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**5*c*c*c\/(c\/c**2))**(4\/17)\/(c**1*c*c**(-1)*c**(-1\/10)\/((c*c**(1\/4)*c)\/c*c)) assuming c is positive.\nAnswer: c**(1179\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42750429 is divided by 14250139?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 14*c + 4 + 10 + 1 - 3 + 1. Give l(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m + 1. Let g(o) be the second derivative of o**3\/3 - 7*o. Give 4*g(f) + 3*n(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 5*b - 29 - 28, 4*b = 2*v + 60. Let w be 4*3\/v - 1268\/(-6). Suppose -664 = -3*x - w. What are the prime factors of x?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54036 is divided by 26992?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -5*y, y + v - 6*v = 0. Suppose 4*a - 2*a = y. Solve a = -6*j + 2*j + 3*m - 12, 5*m = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 11:46 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35976716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32069, -32068, -32069, -32072, -32077?\nAnswer: -32084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.005 - 0.285. Let h = -5.29 - t. Let y = -0.1 + 5.1. Which is the biggest value?  (a) y  (b) h  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 - 6*h**2 + 6*h - 3. Let a be w(5). Solve -3 = -3*m - 3*f, 0*f = 3*m - 2*f + a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 23*i**2 + 59*i - 24. Let q be y(-20). Suppose z + 2*s = 4*s + 10, -5*s = z + 11. Put z, q, 3, -2 in ascending order.\nAnswer: q, -2, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - (9 - (32 - (4 + 7))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - -1 - (12 - (14 + 8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 25 * 0.1\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -102, -1, 8.\nAnswer: -102, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 221320 (base 6) to base 2\nAnswer: 100100000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 z when three letters picked without replacement from zyzpzprzzyzprzrz?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1016 - 1012 + 1995 + 10*z)*(2 + 0 - 1 + 2 - 3 - 1 + (-3 + 4 - 3)*(4 - 2 - 1) - 2 + 1 + 3 - 3 + 3 - 1).\nAnswer: -20*z + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -791638, -791629, -791608, -791569, -791506, -791413?\n\"Answer: k**3 + 2*k - 791641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21 and 640267971.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, 0, 9 in decreasing order.\nAnswer: 9, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4746335 (base 9) in base 16?\nAnswer: -273710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (23 - 49) + 10 + (-3 - -5)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100101010110001 (base 2) to base 3.\nAnswer: -222020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 5*n + 10, -3*n + 2*a - 10 = -0*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 9:00 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.09, -2\/3, 4, 1.707, -1.29, -4?\nAnswer: 1.707","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79.9 + -50.37. Round h to 0 dps.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1d9 - 22?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 41582*i**6 + 62376*i**2 - 1?\nAnswer: 4989840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*h**5 - 17130640*h**2 + 2645648*h - 23 wrt h.\nAnswer: -100*h**3 - 34261280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 6*s - 126. Let m be 34\/14 + (-54)\/s. Suppose -u + 40 = m*o, -u + 164 = 2*u - 5*o. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**9\/y*y)**26*(y\/((y*y\/y**(-2\/15)*y)\/y))**19)**(-35\/2) assuming y is positive.\nAnswer: y**(-22309\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 194725, 194462, 194201, 193942, 193685, 193430, 193177?\n\"Answer: a**2 - 266*a + 194990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*w + 8 = -28. What is the third derivative of -3*l**2 - 7*l**w + l**2 + l**2 - 6 + 2*l**2 - 106*l**4 wrt l?\nAnswer: -2544*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (12 - (10 - -1))) + -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28\/3 - -109\/12. Which is the second smallest value?  (a) 12.2  (b) -1  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.751158ml in litres?\nAnswer: 0.005751158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4171, 8308, 12443, 16576, 20707?\nAnswer: 24836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v + v - 3*v)*(0*v**2 - 2*v**2 - v**2)*(0 - 4 + 3).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*o + 1 - 32*o**3 - 68*o**2 - o + 68*o**2 + 199*o**3 as l*o + a + p*o**2 + r*o**3 and give r.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g + 2. Let o = -28 + 24. Determine i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000483809063 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, e: 16, o: 1}. Give prob of picking 3 e.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.12 - -1.82. Sort -0.4, s, 14 in increasing order.\nAnswer: -0.4, s, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y - 3*y - y)*(1 - y**2 - 1 + (-3*y + 5*y - 4*y)*(-2*y + 5*y - 4*y) + (0 + 0 + y)*(1 + y - 1) + 5*y + 3*y**2 - 5*y).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 2*f. Let a be 2\/(-4)*f + 3. Solve 3*c + a = -0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35 + -15. Let h be t\/(-8) + 3\/(-1) + 5. Let i = -1 + -4. Which is the closest to h?  (a) 1  (b) -1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 575731194 to the power of 1\/3, to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38357 - 38359. What is the closest to j in -53, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -314294265*q**3 - 26990251*q + 7.\nAnswer: -1885765590*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26 and 544956659.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -154*r**2 + r + 2. Let o(q) = 4*q**2 - q. What is 3*o(s) + t(s)?\nAnswer: -142*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 33*l**2\/2 - 648663*l + 589680 = 0.\nAnswer: 10\/11, 39312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-1 + sqrt(171) + -1*sqrt(171) + 2)**2 - (-1 + (sqrt(171) + sqrt(171)*-2)*5)).\nAnswer: 2 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 335 + -469. Let h = -136.96 - r. Let u = h + -0.04. Which is the second biggest value?  (a) 0.5  (b) u  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*c**2 - 108*c**2 - 515*c - 336*c.\nAnswer: -98*c**2 - 851*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12755 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 27*w**2 - w + 4. Let n be b(-3). Let i be (n\/6)\/((-14)\/(-126)). Suppose -d - i - 365 = 0. What is d rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 437816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1670281 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 775855803, 1551711605, 2327567407?\nAnswer: 3103423209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 + z + 17. What is the units digit of l(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**4\/4 + 11*v**3\/3 - v**2\/2 + 21*v - 214. Calculate o(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**7\/(o\/(o\/((o**(2\/19)\/o)\/o))))\/((o**(-3)*o)\/(o\/(o\/o**1)*o*o)) assuming o is positive.\nAnswer: o**(264\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 - 28*a**2 - 62*a + 57. Let n be x(30). What is the nearest to 1 in -0.1, n, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 4*k**2 - 329*k - 675. What is f(84)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9476 is divided by 179?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2590 and 777.\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -v**5\/60 + v**4\/36 + 33*v. Suppose t(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*d + 6*d. Let y(j) = 4*j - 14. Let n be y(d). Suppose -b = -19 + n. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (96\/(-84))\/(2\/7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**3 - 2*g**3 + 3*g**3)*((-g + g + 2*g)*(-3 + 0 + 4) - 82*g - 85*g + 117*g).\nAnswer: -144*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.42 and 1.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 3024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13131470 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2)\/j)\/((j\/((j\/j**(-3))\/j))\/j)*(j\/j**(1\/8))\/j**(2\/23) assuming j is positive.\nAnswer: j**(145\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 5, 1.6, -5\/3, -3\/2, 13470?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -5 and -447.9953726992.\nAnswer: -452.9953726992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 125980, 125981, 125982, 125983, 125984?\n\"Answer: p + 125979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*(d**(1\/5)\/d)\/d)\/d)\/(d\/d**0)*d**3*d*d\/(d\/(d**(-1)*d*d)*d*d*d*d))\/((d*d\/(d\/d**(-5)))\/(d*d**(-1))*d**(-1\/7)\/d**2) assuming d is positive.\nAnswer: d**(152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 736 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, l: 2, z: 1, s: 1, q: 2, f: 1}. What is prob of picking 1 q and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.074, 5, 85142\/49 in decreasing order.\nAnswer: 85142\/49, 5, -0.074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -219*m**3*v + 3*m**3 - 20*m**2*v - 24*m**2 + 9*m*v - 13*m + 44*v + 1 wrt m.\nAnswer: -1314*m*v + 18*m - 40*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -6. Suppose 4*n = x*t - 52, -5 = 3*n + 4. Solve o + t = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -166.5 - -171. Let z = 4.029 - s. Round z to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43403 (base 9) in base 14?\nAnswer: a6a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11181.44054 rounded to the nearest 100?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 228.1 - 228. Put p, -84\/11, 1 in descending order.\nAnswer: 1, p, -84\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 8840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 2*w + 10 = 0, -3*a + 85*w = 89*w - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 8*f**3 - 35*f**2 - 8*f - 12. Let g = 209 - 202. What is the tens digit of s(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/57 + 5626\/1102?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -55*c**2 - 11. Let v(f) = 11*f**2 + 2. Let h(s) = -11*v(s) - 2*x(s). Let j(l) be the third derivative of l**5\/60 + 4*l**2. Calculate h(j(p)).\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**4\/3 + 47*a**3\/3 - 92*a**2\/3 - 44*a\/3.\nAnswer: a*(a - 2)*(a + 11)*(5*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(5\/3)\/j)\/(j*j**(3\/7))*(j*j*j\/j**7*j*j)\/(j*j\/(j**(-2\/5)\/j*j)))**(-1\/54) assuming j is positive.\nAnswer: j**(437\/5670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 12) to base 16.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 6*d**3 - 32*d**2 - 9*d + 47. What is the remainder when 1504 is divided by h(6)?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of 19*f**4\/24 - 47*f**3\/2 - 820*f**2 + 2*f. Give m(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 45*h**3 + 2*h**2 + 8*h - 13. Suppose 12 = -4*c, -2*c = -v + 2*c + 14. Let j be 2*v + (0\/1)\/(-1). Is p(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 79 - 68. Let y = u - 19. Is 2 + 10 + 3\/(6\/y) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 2:25 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 - 12*n + 30. Let k be y(-14). Factor -2*j + 0*j + 49*j**2 - 40*j**k + 5*j**3.\nAnswer: j*(j + 2)*(5*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-68 + 68)*(2 - 0)*(28\/(-8) + 4). Find r, given that 8\/11*r**2 + 2\/11*r**3 + m + 6\/11*r = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -12*f**2 + 14*f + 17. Give a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -844239, -844237, -844235, -844233?\n\"Answer: 2*o - 844241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/9  (b) 23  (c) 5  (d) -140.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 - 2*j - 86. Determine k(-6).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9086 is divided by 512?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of -c**5\/10 - 71*c**4\/6 + 7*c**3 + 111*c. What is the second derivative of l(y) wrt y?\nAnswer: -12*y - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7, 6, 2905?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1846*d**2*q**2*x - 2*d**2*q*x - 1316*d*q - 4*q**2*x**2 + 2*q*x**2 - 3*x wrt q?\nAnswer: -3692*d**2*x - 8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s + 4. Suppose -4*f + 0 = -40. Let v be (2 + (-28)\/f)*-30. Suppose 0 = -4*h, -h = 4*p - 3*h + v. Calculate y(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*o**4 + o**4 + 6*o**4 + 4*o**4 - 24*o wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express w**2 + 977*w + 693*w - 108*w - 347*w in the form u*w + r + l*w**2 and give u.\nAnswer: 1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60.21667 litres to millilitres.\nAnswer: 60216.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 145\/(-203)*(-21)\/2*24\/(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {p: 5, q: 5, d: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i - 1 - 1 + 2. Let o(f) = -5*f**2. Determine l(o(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -680, -1281, -2282, -3683, -5484, -7685?\nAnswer: -10286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -12*l. Let v(r) = 2*r**2 - 3*r - 35. Calculate v(i(u)).\nAnswer: 288*u**2 + 36*u - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3197, 6103, 8785, 11237, 13453, 15427, 17153?\nAnswer: 18625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2971877?\nAnswer: 31, 37, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 180 and 496746.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 - 5*n - 4. Let s be g(-5). Which is the nearest to 0.4?  (a) -3  (b) s  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 - 12*q + 15. Let y be z(-13). Let k(f) = f**2 + 380*f + 7222. Let v(a) = -2*a**2 + 1. Let w(c) = y*v(c) - k(c). Solve w(t) = 0 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1408) + sqrt(1408)*-3)\/sqrt(2) - sqrt(110)\/(sqrt(90)\/(-2*sqrt(9))).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 15*d + 1. Let m be w(1). Let j be m\/(-28) + 0 + 9\/(-21). Let s be (-76)\/42 - 4\/(-6). Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 4  (b) -1  (c) 5  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 354599513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5194, -20641, -46402, -82489, -128914, -185689?\n\"Answer: -2*v**3 - 5145*v**2 + 2*v - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - (1 + 2)\/(-1). Let d(z) = -266*z - 1594. Let y be d(-6). What is the third derivative of -8*o**3 + 61*o**m - 43*o**y - 4*o**3 wrt o?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + r = -12, 5*g = 2*r - 0*r - 31. What is the nearest to -2 in 0.1, 0.4, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 9 = d, 0 = 5*h - 2*d - 38 + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**2 + 60*g - 32. Let l be s(20). Let z = l + 1466. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - 33*b**2 + 64*b - 65. Determine o(31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j + j + 0*j + (-5 + 5 - 1)*(-3 + j + 3) + (-1 + 2*j + 1)*(-3 - 2 + 2) - 3*j + 4*j + 0*j in the form m + p*j and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 375.6903 kilometers to nanometers.\nAnswer: 375690300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/93 - -207\/31. Calculate the common denominator of -67\/75 and b.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.794 and -0.473.\nAnswer: 1.321562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 446.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2959 times -0.4?\nAnswer: -1183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(2\/5))**(3\/16))**(-4\/5))**(-18\/13) assuming w is positive.\nAnswer: w**(27\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.551530573 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 - 15*i**2 - i + 158. Let g be z(15). Calculate the highest common divisor of 117 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -46*d**2 - 1. Calculate q(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 9984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 4*m - 4. What is the lowest common multiple of x(6) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -105*a**3 + 9*a**2 - 9*a - 47. Let y(p) = -893*p**3 + 76*p**2 - 76*p - 399. Give -76*s(c) + 9*y(c).\nAnswer: -57*c**3 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/10 + (17739972\/(-20) - 1). Round m to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -24, 2\/13, 13299, -10, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10614582 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from {q: 1, l: 6, m: 2, p: 1, i: 5, x: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 117 - 115. Let v(h) = 0*h + 3*h + 6 - 1 - x*h + 6*h. Give v(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22743\/722 - 3562\/(-52)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5961632 take away -2037931?\nAnswer: 2037929.4038368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-14)\/8)\/(4\/(-16)). Let k = z + -5. Factor 0*h - 1\/2*h**k + 0.\nAnswer: -h**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (59 - 50) + (-56 - (-32 - -27)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 4, 224, 0.4, -16, 0.5 in decreasing order.\nAnswer: 224, 4, 0.5, 0.4, -1\/4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 0, -0.1, -3\/2, 356, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**2 - 104 + 108 + 9*j**2 + (-2*j**2 + j**2 + 0*j**2)*(3 - 5 + 1).\nAnswer: 8*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + 100010000?\nAnswer: 100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 266.6 + -2495.6. Let h = j - -2229.03459. What is h rounded to 3 dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/443994 and 43\/8724.\nAnswer: 645567276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 3*x = 5*v - 42, -v + 4*x = -2. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16*(-1)\/14 + (-456)\/56.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 28 times 3520658\nAnswer: 98578424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1947306 times -2?\nAnswer: -3894612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 2*o**2 - 5386*o + 10764 = 0?\nAnswer: 2, 2691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1718352 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 976\/78851?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7888 - -8112. Let r = -224.49884380816 - -0.49884187816. Let s = r + v. What is s rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 623 - b9?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(-12) + 29667\/124. What is the fifth smallest value in -1, -2\/3, -4\/7, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2103*v + 3733. Determine p(-2).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -473, -491, -509, -527?\n\"Answer: -18*n - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 4*v - 32 = 0, -4*f + 4 = -v + 6*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 4*u**3 + 5*u**2 - 2. Let d = 240 - 237. Let w(v) = 5*v**3 + 5*v**2 - v - 4. Let p(c) = d*w(c) - 4*m(c). Give p(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 364 a factor of 23272437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -170 + 179. Suppose -4*r = -o*r + b + 1708, -4*r - 5*b = -1349. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 + -12. Let o = -304\/153 + 30\/17. What is the third biggest value in 4, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 9 = z, z - 1 = -2*v + v. Let u(t) = -30*t - 87. Let b be 18\/(-4) - (-45)\/30. Let k be u(b). Solve 3*j - v*o + 0 = k, 5*j - 5 = -2*o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -10, -4, 1 in ascending order.\nAnswer: -10, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**7\/420 + 25*l**4\/24 + 23*l**3\/6 - 9*l**2. Let v(j) be the first derivative of m(j). What is the derivative of v(w) wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -3*n**3 - 13*n**2 - 30. Let a be g(-5). Let c be (5 + -4)*(0 + 7). Solve c*i = 11*i + a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 147 = -53*q. Suppose -4*n - 28 = 5*p, -5*p + 3*n = n + 16. What are the prime factors of (q\/(-3))\/(p\/(-124))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*j**3 + 32*j**3 - 3*j**3 + (0*j + j**2 + 0*j)*(2 - 2*j - 2) in the form q*j**2 + s + i*j**3 + u*j and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 31351652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 613 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1310259611.50000087 + 1310259622. Let a = -0.14 - -10.64. Let m = a - p. What is m rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -129 + (106 - -161) - 103.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 4*k**2 - 5*k + 5. Let v be j(5). Suppose -v*g = -23 + 3. Suppose g*b - 3*p = 27, 4*p - 14 = b - 4*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (39\/(-65))\/(1\/10) + 32994\/5508.\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10000 (base 2) to base 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12602 is divided by 89.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/((i*i\/(i\/(i*i\/(i*i*i**(11\/4))*i))*i*i)\/i)*i*(i*i**14)\/i*i)\/(i**(-4\/33)*i\/i**39) assuming i is positive.\nAnswer: i**(7243\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -423*i + 428*i - 460 = 5*v, -2*i + 184 = v. What is the highest common factor of i and 1449?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 184*i + 3 - 94*i - 89*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of -i**4\/6 - i**3\/6 + i**2 - 5*i. Let n = 4 - -3. Let g = n + -4. Let f(r) = -2*r**2 - 2*r + 3. Calculate g*o(j) - 2*f(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3866490450 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2772 divided by 3?\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + 274*q - 282*q + 24 = 0, 0 = l + 6*q - 18 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6\/11  (b) 31  (c) -35\/13  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is n in n**2\/4 - 9*n - 37\/4 = 0?\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17284 is divided by 343.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 36554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/15*(-11)\/(66\/(-8)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12892 is divided by 215.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/4 + -5 - -15. Suppose -13 = k + 4*f, -2*k + 2*f + 18 = -f. Suppose -n = -z - k*z. Solve 0 = -0*q - z*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 416 - 415.9. Suppose 2 = 3*m + 4*p + 37, 4*m - p + 15 = 0. What is the closest to m in n, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -11*g**3 + 8*g**2 + 4*g + 1. Let b(j) = 34*j**3 - 23*j**2 - 11*j - 3. Calculate -4*b(i) - 11*r(i).\nAnswer: -15*i**3 + 4*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 73 + -72. Let r be x\/((-7)\/2) - (-208)\/140. Which is the nearest to -2\/7?  (a) r  (b) 3\/4  (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*u + u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 6:50 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 - 6*b - 3. Let t(u) = 2*u + 34. Let d(s) = -s**2 - 20*s - 20. Let i be d(-20). Let f be t(i). Give q(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 times -53.6\nAnswer: 321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*32\/(4320\/1155) - (-4)\/((-16)\/44)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 + 18*w**2 + 15*w + 80. Let d be t(19). Sort 0.3, d, -63\/4, 0.1, 1\/3 in descending order.\nAnswer: d, 1\/3, 0.3, 0.1, -63\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 281\/7 - 40. Sort x, -1, -3, 2\/7.\nAnswer: -3, -1, x, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -134, -4, -12, 0 in decreasing order.\nAnswer: 0, -4, -12, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20449*y**3 + 15873*y**2 + 4320*y + 256.\nAnswer: -(y - 1)*(143*y + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1939176683.\nAnswer: 709, 2735087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 3*z**2 - 2*z)*(0 + 2 - 4) - 22*z**2 + 82*z - 82*z.\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x + 2. Let d be c(2). Let o = d - -7. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 + d + 3. Let x be v(0). Let k be (-1)\/4 + x\/12. Is -3\/7 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -810*o - 2464. Determine p(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 4*d - 7 = -48, 3*o - 4*d - 25 = 0. Let h = o + -10. Is 1060\/40 - (h - (-1)\/(-2)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42850, 42798, 42726, 42622, 42474?\nAnswer: 42270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8 times 56504?\nAnswer: -45203.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - 11*w - 5. Let d be g(9). Let n = d + 25. Let s = 1 - -8. Solve u = -n*u + s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 9 = 9*z - 12*z, 6*a + 15 = -5*z. Solve 63*t - 96*t + 33 = a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -156719046, -156719044, -156719040, -156719034?\n\"Answer: z**2 - z - 156719046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8950 divided by -212?\nAnswer: 4475\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 2*m - 14 - 13, 70 = 5*m + 5*y. Let k = 31 - m. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -w**3 - 5*w**2 - 240 - 4*w**2 + 213 + 608 + 11*w**2 in the form q + z*w**3 + m*w + i*w**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w**2\/2 - 72009*w + 5185296081\/2 = 0. What is w?\nAnswer: 72009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -3*g**2 + 6*g - 3. Let j(p) = -7*p**2 + 13*p - 7. Let n(c) = 5*d(c) - 2*j(c). Let a be -1*1\/(1\/(-5)). Determine n(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 442.307477 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1477291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 15*y + 13. Let n(x) = 7*x + 6. Let o(j) = 6*m(j) - 13*n(j). Let k(l) = -62*l - 2. Let s(b) = -k(b) + 5*o(b). Is s(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -11*u - 2. Let a be b(-1). Which is greater: 0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8.19 - 0.19. Let r = -4 + s. Which is the nearest to 0.1?  (a) r  (b) 2\/7  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 386 + -340. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 - 20. What is the third biggest value in -1\/5, -3, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 1265000 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(33\/748)\/(24\/32).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 4*l - 8, 5*m - 10 = -2*l + 16. Let a be -57*(-5)\/(4 + -34)*m. Which is bigger: 0.2 or a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 490\/(-13) + 22 + (-28 - (-222)\/39)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21586299.\nAnswer: 3, 7, 19, 54101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 2*c - 3. Let f(o) = 7*o**2 - 13*o + 19. Let r be -3 - (-1 - -4)*1. Let n(d) = r*f(d) - 39*b(d). Let n(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u + 18. Suppose 3*c - 4 = -2*t, -2*t + 4*c + 2 = -t. What is the least common multiple of (4 - t)\/(-1 - -2) and h(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -74737 (base 11) in base 2?\nAnswer: -11010100010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 230\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express q**2 - q**3 - 5*q**3 + 2*q**4 + 4*q**3 - q - 2*q**2 - 2 as r + b*q**4 + i*q**3 + w*q + a*q**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = -4*k + 76. Let m(c) = 2*c + 2*c + k - 16*c + 6*c + 10*c. Calculate m(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 116, 149, 182, 215, 248?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 - (21\/(-15) - 14\/(-35)). Let q = 3.6 - 7.6. What is the nearest to o in q, 4, 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + -2 - 0) + 49 + -43?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 766623.7 millennia?\nAnswer: 7666237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-10) - -38*(-8)\/(-720). Factor -l*h**5 + 4\/9*h**4 + 0*h**2 - 2\/9*h**3 + 0 + 0*h.\nAnswer: -2*h**3*(h - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 0*f - 23 = -5*f, 5*d = -f + 46. Calculate the smallest common multiple of 8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 59 = -5*r + 34, -5 = -2*q + r. Factor 3\/7*f**2 + 1\/7*f**3 + 0*f + q.\nAnswer: f**2*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 - 10. Let o be (0 + -5)*(-42)\/10. Let m be 2\/7 - (-120)\/o. Solve 0 = -3*u + w*c + c - 9, 2*c = -u - m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 14*p + 15*p = 10, -5*m + 4*p = -45. Suppose 35 = 5*z - 2*s, 0 = -2*z - z - m*s - 10. What is the nearest to z in 4, 3, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 10 = 3*t - 4*t, 0 = -4*t + 3*h + 40. Solve m - t = -12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4230)\/288 - (-9)\/48)*2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of u**4\/4 + 4*u**3\/3 - 5*u**2\/2 + u + 1. Give s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 52560 and 42890055.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (91 + -98 + (-6 - -2 - -2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 704 and 25349.\nAnswer: 17845696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -4, 20, 2, 158, 3, -1 in ascending order.\nAnswer: -12, -4, -1, 2, 3, 20, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2330143789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 4*p - 2*t + 15 = 0, 2*p + 29 = 5*t. Let s(k) = -k**3 - 18*k**2 - 27*k - 33. What are the prime factors of s(p)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*z**2 - 149\/4*z + 75\/2.\nAnswer: -(z - 1)*(z + 150)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h + 31. Let t be m(9). Differentiate 7*f**3 + t - 3 - 3 wrt f.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-20)\/5)\/(2\/4). Let x = b + 10. Solve 0*d - x*d = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, v: 1, t: 1, g: 3, c: 1}. What is prob of sequence tg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13737444 and 43676?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 + 0)\/((-10)\/4). Let -h*i + 1\/5*i**2 + 1\/5 = 0. What is i?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n**2 + 14*n - 56. What is h(7)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 123356 and 2228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1059.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 5. Let u(l) = -61*l + 4. Let m be u(y). Round m to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -1640*i - 3212. What are the prime factors of v(-13)?\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 1 - 9\/18.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of -v**6\/540 + 2*v**5\/15 - 35*v**4\/108 - v**2 + 262. Let i(k) = 0. What is k?\nAnswer: 0, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 54226139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-64)\/(-28) + (-4)\/14. Let l = -16.5 + 16. Let m = -1.5 - l. What is the second smallest value in -0.4, z, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 594 and 1386.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -180*q. Let s(n) = 4*n. Give p(s(d)).\nAnswer: -720*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7649*l**3*m**2 + 136*l**3 - 380*l**2*m**3 + 6*l**2 - l + 43 wrt m.\nAnswer: -15298*l**3*m - 1140*l**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 37*q**2. Let b(u) be the third derivative of -u**8\/10080 - 11*u**5\/30 - 34*u**2. Let w(f) be the third derivative of b(f). Give l(w(p)).\nAnswer: 148*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1710, -13479, -45322, -107283, -209406, -361735, -574314?\nAnswer: -857187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6974.07l to millilitres.\nAnswer: 6974070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1010 > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of 8*r**3\/3 - 4*r**2 - 12*r + 36. What is the tens digit of g(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -14*l + 196. Let d be o(7). Calculate the highest common factor of d and 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*a**4 + 2*a**3 - 55*a**2*j**2 - a*j**2 - 6245*a*j wrt a?\nAnswer: -168*a**2 + 12*a - 110*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4112 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86*w**2 + 160*w**2 + 2 - 11*w - 61*w**2 + 2*w.\nAnswer: 185*w**2 - 9*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3 + 187986*c**2 + 4433931792*c + 778927604256.\nAnswer: 2*(c + 177)*(c + 46908)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/10 + (-2 - (-32)\/20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of -2 + 1\/2*p**2 + 24*p. Is 12 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 bigger than 254548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.3 - 3.3. Let z = p - -2.0014. Round z to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 - 6*l - 8. Let t(d) = d - 2. Let y(f) = 3*t(f) + v(f). Let q be y(6). Let j = 1\/5 - -3\/10. Put j, q, -1\/14 in ascending order.\nAnswer: -1\/14, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 56393004.894999972 - 56393005. Let k = 0.105 + l. Round k to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 11:20 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4740.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 441850?\nAnswer: 2, 5, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -28*d - 163. Suppose 0*j = j + 6. Calculate the remainder when 19 is divided by h(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 185 by 4.\nAnswer: 185\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -33*a**2 + 1. Let y(g) = -64*g**2 + 2. Calculate -5*u(x) + 2*y(x).\nAnswer: 37*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1692455 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/19, -0.1, 0.01, -0.3, 2\/9, 0.065?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 138 and 132165291.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*f**2 - 6*f - 10*f**2 + 6*f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -d - x + 36, -3*d - 3*x = -36. Let a(y) = -y**3 - 3*y**2 + y. Let i be a(-4). Let n = 18 - i. What is the smallest common multiple of n and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.24902 grams in milligrams?\nAnswer: 86249.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*g + 68*g - 48 = 0. Solve -2*c + g*m = 10, -1 = m - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1013.4445 * 9\nAnswer: 9121.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of 3*l**4\/4 + 12*l**3 - 207*l**2\/2 - 240*l + 558. Factor h(k).\nAnswer: 3*(k - 5)*(k + 1)*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -11546466 and 1895?\nAnswer: 11548361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 AM and 4:53 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + -9. Suppose 3*g - 5*p + k = 14, 5*p = 5*g - 20. Suppose -5 = -o - 5*w + 13, 14 = g*o - 5*w. What is the remainder when 21 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 4*a - 22 = 0, -3*b = -2*a + 8 + 1. Let i = b + 5. What is the remainder when 69 is divided by 108\/(-6)*(-1 - i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1058.096*-1.\nAnswer: 1058.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*v + 75 = 15*v - 5*o, -o = -0*o + 14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*o - 57*o + 122*o - 7520. Let d = -26 + 37. Calculate the remainder when o is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -276, -545, -824, -1119, -1436, -1781, -2160?\n\"Answer: -r**3 + r**2 - 265*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/13*m**3 - 2\/13*m + 4\/13 - 4\/13*m**2 = 0 for m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -16 - (-62 + 53).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -7*v + 55. Let d(a) = -4*a - 7. Calculate the least common multiple of d(-3) and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -13 + 14 - 3*q + q. Let x(y) = 5*y - 2. Let w = 8 - 11. Let p(h) = w*x(h) - 8*j(h). What is the first derivative of p(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 + 4892*x - 2192102. Calculate p(499).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of 0 + 0*q**4 + 0*q**3 + 0*q - 1\/30*q**5 - q**2. Let o(c) be the first derivative of c**2 + 220. Determine b(o(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50327999 is divided by 1947?\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 4, -11, -3 in decreasing order.\nAnswer: 4, 1, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001134 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 1 + 4)*(-2 + 2*n + 2) + 3 + 5*n - 3 + 506 + 59*n - 506)*(-5 + 2*n + 5)*(2*n + 1 - 1).\nAnswer: 264*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16997 - 1767719\/104. Calculate the common denominator of 29\/16 and a.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 2*z**2 - 2 + (-13*z + 13*z + 2*z**2)*(-2 + 2 - 3) + 0*z**2 + 4*z**2 - 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 3*n - 2*n = -5, n = 3*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-12 - -9) + -5 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -72, -58, -44?\n\"Answer: 14*q - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 7*c - 11. Let p be k(5). Suppose 3*y = 4*y - p. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -7, 2, 387 in decreasing order.\nAnswer: 387, 2, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -438*o - 2. Let d(y) be the second derivative of -875*y**3\/6 - 3*y**2\/2 - 4*y. Let j(f) = -3*d(f) + 7*v(f). Is j(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -2*i - h - 14, 5*h = -25 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r + 11*r + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12101120 + 2110110?\nAnswer: -2221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -17\/12*h**4 + 0 + h**2 - 107*h - 1\/3*h**3. Determine n(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3370*c - 137150 + 137150)*(-3*c**3 + 2*c**3 + 0*c**3) - 3*c**4 - 2*c**4 + 4*c**4 to d*c**3 + z + t*c**4 + u*c + m*c**2 and give t.\nAnswer: -3371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**2 + 64998*s + 714736 = 0?\nAnswer: -32488, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - -1. Solve 0 = -2*u + 11 - h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27915317.4 - -3?\nAnswer: -27915314.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 384 and 174.\nAnswer: 11136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 264997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 PM and 8:36 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -69, -340, -1071, -2490, -4825, -8304, -13155?\n\"Answer: -38*a**3 - 2*a**2 + a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 5*o - 12547 + 12562 = 0, -4*o - 5 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27766985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1539 and 6512022.\nAnswer: 19536066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -79885 (base 10) in base 6?\nAnswer: -1413501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/22 + 2\/(-11). Suppose -4*u = -a*u - 52. List the prime factors of (u - -5)\/(6\/4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2359863 and 848331.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + (2 - (-2)\/(-2)). Suppose -g*l = -5*s + 11, 4*s = s - l + 10. Suppose -31 = -4*m + 5. Calculate the greatest common divisor of m and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 36 - 5661?\nAnswer: -5623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*k**3 + 24*k**3 - k**3 - 2*k**3.\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1800) + sqrt(1800)*-2*4)\/(4*sqrt(36)\/sqrt(4) - (sqrt(9) + sqrt(54)\/(sqrt(6) - (-2*sqrt(6) - sqrt(6))))))**2.\nAnswer: 156800\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74232 = -c - 46*y + 73858, 5*y + 46 = -c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (62*c - 511 + 511)*(-617*c**2 + 4539*c**2 - 702*c**2 + 33 - 33) to the form l*c**3 + w*c**2 + k + x*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*y - 482 = -75*y - 85*y. Solve -5*a + 4*f - 45 = 0, -6*a + 7*a + 15 = y*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19268646 to the nearest integer?\nAnswer: 4390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 102 - 253 = -5*g, 2*r - 155 = 5*g. Let v(l) = 109*l + 3166. Let a be v(-29). What is the greatest common divisor of r and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2347.2 + 1793. Let i = z + 612. Let u = 58 - i. Sort u, -5, 5.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.523 times 0.1?\nAnswer: 2.1523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/14637 and -7\/984.\nAnswer: 117096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3565201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000251930861 to seven decimal places.\nAnswer: 0.0002519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.941259t in nanograms?\nAnswer: 5941259000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6580509 or 6580507?\nAnswer: 6580509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130)*2*1 - (4*sqrt(130) + sqrt(130) + sqrt(130))*2)\/(4*(sqrt(160)*-2 + sqrt(160)) + (sqrt(160) - 1*sqrt(160)*1) + sqrt(160)).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -15. Suppose -k - 3*k + v = -f, 3*k = 3*f. Suppose -5*d + 8 + 12 = 0. Solve f*x - 2*y = -11, 9 = -d*x - 0*y - 3*y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 10:40 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -40152 + 40151.2. Let u = -7 - -4. What is the biggest value in u, m, -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 PM and 10:01 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(176))**2 - sqrt(176)) + 3 - (-4*sqrt(176)*6 + sqrt(176)).\nAnswer: 180 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 2*z. Let o be x(-6). Let b = 24 - o. Sort 3\/5, -3, b, -0.5 in decreasing order.\nAnswer: 3\/5, b, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 221?\nAnswer: 1\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-11 - (1 + -2)) + (-7409651)\/(-739518) and 31\/1976.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**5 - 134*c**4 + 2178*c**3 + 406*c**2 - 6820*c + 4368 = 0.\nAnswer: -2, 1, 28, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/2)*y*y**0)\/(y**(3\/5))**(2\/55) assuming y is positive.\nAnswer: y**(813\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -4*x + 2704. Let s(a) = -2*a**2. Give w(s(b)).\nAnswer: 8*b**2 + 2704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 356.5 and -6808?\nAnswer: -2427052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 5*n = -9, -2*n + 13 = -5*l - 5*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25936 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 - 18.9. Let m = -8587 - -8582. Suppose 0*r + 4*r + 8 = 0. Which is the closest to 0.1?  (a) r  (b) o  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 154976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1)*(-1029*u - 208*u**2 + 1029*u) - u**2 - 2*u**2 + u**2.\nAnswer: 206*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 2\/9, 0.05, 5, -1\/7, 13, -10, 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 0*y - 2229 + 1110 + 1119 - y. Let m(l) = 5*l + 16. Determine -m(g) - 6*u(g).\nAnswer: g - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308 - 2667 - 3668 = -49*n for n.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 58\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 n when three letters picked without replacement from nnnnnwnnw.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23968?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 8, -22, -3380, 0 in ascending order.\nAnswer: -3380, -22, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -2*s - 7. Let y be x(-6). Let k(a) = -y*a - 2*a + 5*a. Let f(n) = 6*n - n - 4*n. What is f(k(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*a**2*q**5 - a**2*q**2 + 23*a**2*q - 1000*a**2 - 2397711*a*q**3 - 2*q + 4 wrt q?\nAnswer: 180*a**2*q**2 - 14386266*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 35, 57, 93, 143, 207, 285, 377?\n\"Answer: 7*a**2 + a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 4, -244 in descending order.\nAnswer: 4, -7, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 529, 465, 399, 331, 261?\n\"Answer: -a**2 - 61*a + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -327 - -1301\/4. Let c = -45\/28 - q. Let k = 43 + -128\/3. Which is bigger: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04942311463 less than 133.5?\nAnswer: 133.45057688537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15\/2 + -71\/10. Which is the nearest to 2\/3?  (a) 2\/9  (b) 4\/7  (c) -3  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5389 and 1885453?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001612 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10045\/3 - -3360. Let v(z) be the first derivative of -5*z**2 + 5*z - q*z**3 - 5*z**4 - 15. Factor v(f).\nAnswer: -5*(f + 1)**2*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 456 and 2372568.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(1584))**2 + -4 - ((sqrt(1584) + 1)**2 + sqrt(1584) + 2) - (3 + (-2 + -2 + sqrt(1584) - sqrt(1584))))*4*-5*2.\nAnswer: 240 + 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -35*z**2 - 26. Let b(a) = -17*a**2 - 13. Let l(q) = -5*b(q) + 2*k(q). Let g(c) = -8*c**2 - 7. Let h = -22 + 33. What is h*g(y) + 6*l(y)?\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6*(-3)\/(-30))\/((-1)\/35). Are s and 21 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 less than -38952?\nAnswer: -38954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, o: 1, j: 3, b: 4}. What is prob of picking 1 w and 1 o?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2561751386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*x**3 + 3 + 8*x**2 - 6*x**2 - 1 as l*x + w*x**3 + f + a*x**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 3*i = 246. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52136396309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 2 + 0 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*(-78)\/1521*-195?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -307285 by 151.\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of 0*z + 0 - 2\/3*z**3 + 19\/24*z**4 - 56*z**2. Let h(x) = -5*x + 1. What is 2*b(l) + 9*h(l)?\nAnswer: -7*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -166 + 31*d + 114 - 16*d + 24*d wrt d.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -5*o**5 - 3*o**4\/4 - 4*o**3 - 3641*o**2\/2 - 938. Find the second derivative of n(i) wrt i.\nAnswer: -300*i**2 - 18*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 181868 + -126667. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14*(-4)\/(-1 + -7). Suppose 3*p - 3*d = 15, 2*p - 3 = -4*d + r. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -3) + -13 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of -o**6\/45 - 17*o**4\/24 + 14*o**3\/3 - 15. Let s(r) be the third derivative of f(r). Differentiate s(k) wrt k.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 3*s. Let v(w) = -4*w - 1. Let i(t) = 13*t**2 - 20*t + 2. Let m(y) = i(y) - 5*v(y). Calculate m(b(z)).\nAnswer: 117*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00014588 rounded to 6 dps?\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12 in -1\/5, -2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 AM and 6:02 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -709828, -708874, -707922, -706972, -706024, -705078, -704134?\nAnswer: -703192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.28 and -0.12699931.\nAnswer: 0.15300069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + 2090. Is y a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 1. Suppose 4*k + 28 - 4 = 0. Let m be 0 - -1 - (-8)\/k. Is m equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a century in months?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of p**6\/420 + p**5\/105 - p**4\/84 - 2*p**3\/21 - 10*p**2. Factor c(n).\nAnswer: 2*(n - 1)*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 457944?\nAnswer: 2, 3, 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 344498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 3*o - 12 - 1, -3 = n + 5*o. Let l(a) = 2*a**2 - a - 19. What is the tens digit of l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 29*q**3 - 2*q**2 - 13*q + 58. Let r be c(5). Suppose 2*z = f + 1521, 5*z - 232 = 3*f + r. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 100955512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + -6. Let h be r + 25\/(-5) - -6. Solve 5*l - 3*g = -9 + 26, -h*l + 5*g = -11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 979759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 303535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 484913622 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) -5  (b) 0  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/9 of a hour in seconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 x when three letters picked without replacement from ggxggixigxxiii.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95223 is divided by 532?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 76 - 17. Suppose -g = -3*m - 17. What are the prime factors of 4\/m + 164\/14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, i: 3, d: 9, u: 5}. What is prob of sequence dud?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 11) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-7))\/s)**(-2\/7)*(s*s*s*s\/(s*s**(-1\/3)))\/s**15)**(-2\/37) assuming s is positive.\nAnswer: s**(58\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -378, -763, -1148, -1533?\nAnswer: -1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 129 - 75. Calculate the greatest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -5*z + 3512, 3520 = -288*z + 293*z - 5*s. Calculate the least common multiple of 189 and z.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + y - 42 = -4*a, 3*y = 2*a - 15. Calculate the remainder when 69 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, -32, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 42956 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11134262 (base 9) in base 5?\nAnswer: 2340140101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 255102 is divided by 21175.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1040353, -2080702, -3121053, -4161406, -5201761, -6242118, -7282477?\n\"Answer: -n**2 - 1040346*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2656*p**3 + 18*p**2 - p - 75951.\nAnswer: 15936*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*u**2*y**4 - u**2*y**2 - u**2 - 2037*u*y**4 + 47*u*y + 7*u wrt y.\nAnswer: 48*u**2*y - 48888*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 12 + (10 + 1 - (34 + -31))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 1169329941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/3)\/(195\/117).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -2*(-5*(sqrt(1700) + sqrt(1700)*4)**2 - sqrt(1700)).\nAnswer: 20*sqrt(17) + 424995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39493.\nAnswer: 73, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-8)\/(-6))\/((-20)\/(-12) + -1). Solve d - 9 = a*f, 3*f - 2*d + 3 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1036 = 23*h + 51*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 2:50 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74652 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d + 0*d - 4*o + 136 = 0, 5*d + 2110 = 4*o + 1998 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 613*s + 19. What is the units digit of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/(m*m\/m**5))\/m)\/(((m\/m**0*m)\/m)\/m*m))\/(((m**(4\/7)*m*m*m)\/m)\/m**(2\/15)) assuming m is positive.\nAnswer: m**(-46\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 16, i: 2}. Give prob of sequence mmm.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -155804*c. Let a(s) = -13*s. Determine k(a(r)).\nAnswer: 2025452*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, 3\/5, 4, -2\/11, 2\/541, -17\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 64 + -41. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/3  (b) 1  (c) 2\/3  (d) 36\/131  (e) 1\/3  (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*j**2 + 4*j**2 - 2*j**2)*(-14 - 3 - 6) + 3*j**2 + j**2 - 2*j**2 in the form w*j**2 + x*j + o and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/1*44\/1540)\/((-2)\/30)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of 122*a**3\/3 - 2*a**2 + 9*a + 9. Is g(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 266293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1132516 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1062335 (base 7) in base 8?\nAnswer: -403462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14366, -57517, -129404, -230027, -359386, -517481?\nAnswer: -704312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2 - -117) + 0 + 1 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10137273331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1370 - 0.299.\nAnswer: -1370.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 0*y - 7 + 4)*(13*y + 17*y - 5*y).\nAnswer: 25*y**2 - 75*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 AM and 3:06 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2533*n + 9354 = -76768 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 795?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 119385 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 8) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6 - -4554)\/5*1\/(-2). Let b = k + 518. What is the greatest common divisor of 217 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 12:50 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 47*j + 20. Let c(r) = 1. Let d(x) = -6*c(x) - f(x). Is 18 a factor of d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - -387.628.\nAnswer: 387.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 18b (base 15) to base 16\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 478.7 rounded to the nearest 10?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1497 or 10397?\nAnswer: -1497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/624 and -83\/32448.\nAnswer: 32448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 21995033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-120)\/18 - (0 - 6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 34 = -2*r - 10, 0 = -3*f - r - 16. Let y = -8 - f. Let b be -3 - (-63)\/(y + 4). Solve -5*l + b = 2*n, 14 = -l + 9*n - 5*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 3*r**2 + 9*r - 4. Let x be q(-4). Suppose 3*w = -0*w - 12, 4*j + x = -2*w. Solve j = -6*t + 3*t + 12, 0 = k + 3*t - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c + -2a7e?\nAnswer: -2a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l**3 - 57*l**4 + 144*l**4 + l**2 + 5*l**3 - 2*l - 16*l**4 to p*l**3 + b*l**4 + j*l + r*l**2 + y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -3, -43, -4, 3, 413 in decreasing order.\nAnswer: 413, 9, 3, -3, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 6, k: 4, f: 1, w: 3}. Give prob of picking 1 f and 1 w.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 19*g**2 - 8448*g + 937629.\nAnswer: (g - 231)*(19*g - 4059)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2798 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + 0. Let k = 58 - 52. Suppose -2*x + k = -2. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, f: 3, z: 1, i: 1}. Give prob of sequence tz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of 2*i**7\/35 - 11*i**6\/30 + 8*i**5\/15 + 2*i**4\/3 - 19*i**2. What is f in z(f) = 0?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -1 + 8 + -3 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 15. Let w be 5 - 2\/(-4)*m. Suppose 4*u = 5*p + 45, -1 - 14 = w*p. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(408)\/(sqrt(8)*-2))\/(sqrt(192) + (sqrt(192) - -6*sqrt(192)) + sqrt(192)))**2.\nAnswer: 17\/20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/292 - -91\/5256. Calculate the common denominator of v and -71\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-94 - -93) + (-11 - -6) + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 96 and -0.011?\nAnswer: 96.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -11284069, 4, 5 in descending order.\nAnswer: 5, 4, 0, -11284069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 113726.0596 to the nearest 10.\nAnswer: 113730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (1 - 0) + (350 - 356) + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 5) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-24)*19*2584\/(-1444)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 + 6*t**2 - 3*t + 8. Let m = -90 - -96. Calculate v(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 1:35 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**3 - 25*k**2 - 164*k + 420 = 0.\nAnswer: -7, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1022 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 595076165 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6894213047?\nAnswer: 1409, 4892983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 25626108 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -132527 divided by 2375\nAnswer: -132527\/2375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 4*k = -2*k - 113, -49 = -i + 5*k. Let g = i + -14. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9792 - -9797. Suppose -b - 3*j = 1, -2*b - 4 = 3*j - 2. Put -30, d, b in ascending order.\nAnswer: -30, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26847 + 38314. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 3*q + 29. Let k be w(-8). Suppose k*p - 30 = -2*t, -5*t + 0 = -5*p - 5. Solve 7*h - p*h = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1318 divided by -1.\nAnswer: -1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of -m**7\/105 + 17*m**6\/20 - 33*m**5\/10 + 49*m**4\/12 - 353*m**2. Determine d so that g(d) = 0.\nAnswer: 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and 78.1.\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(3 + (sqrt(833)*-2*-2 - sqrt(833) - sqrt(833)*-1*-1)**2).\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 231318 and 138.\nAnswer: 5320314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 15) in base 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5094 divided by -2547?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h - 2*h - 2*h)*(2*h + 0 + 0) + (3*h - 7*h + 3*h)*(2 - 2 + h) + 44*h**2 + 251 - 251 + h**2 - 3*h**2 + 0*h**2.\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -4*b**3 - 138*b + 2. Let o(h) = -3*h**3 - 137*h + 2. Calculate -2*n(f) + 3*o(f).\nAnswer: -f**3 - 135*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 5*b - 8, -3*b + 24 = -2*z - 12. Let m(o) = -2*o + 11. What is the tens digit of m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4 - 1652259.3363.\nAnswer: -1652259.7363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 8*h + 5. Let c(v) = v + 1. Determine 5*c(d) - t(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50520, -50519, -50518, -50517, -50516, -50515?\nAnswer: -50514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -22*q**2 + 2*q. Let a(j) = -21*j**2 + 3*j + 1. Suppose 5*p + 2*x - 3*x = -25, 25 = -5*x. Let v = p + 3. Let z(i) = v*h(i) + 4*a(i). Solve z(w) = 0.\nAnswer: -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**13\/(t**(-5)\/(t*t**4*t*t))*(((t\/(t\/(t**(-2\/23)*t))*t)\/t)\/(t\/t**(2\/9)))\/t**9 assuming t is positive.\nAnswer: t**(3340\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 2 = -3*k. Suppose k*q - 20 = -2*q. Which is smaller: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 342319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*q - 4*q + 2*q - 3*q.\nAnswer: -45*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 4*v + 15. Let x be z(-7). Let y = x - -8. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + b + 20 = 0, -5*y + 74*b - 75*b = 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1811 is divided by 419?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 14 - 3)*(-420*k + 62*k + 15*k) + 2*k - 4*k + 5*k to g + t*k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 PM and 12:42 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -21*g**3*t + 681*g**3 - 964*g**2*j**2*t - 2*g**2*j - 64*g*j**2 - 3*t wrt t?\nAnswer: -21*g**3 - 964*g**2*j**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -a1c (base 15) in base 14?\nAnswer: -b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79629 (base 10) to base 5.\nAnswer: 10022004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 1 + 2)*(3*i + 4*i - 4*i) + (-3 - 1 + 7 + (0 + 2 + 0)*(2 - 2 + 1) - 7 + 3 + 3)*(-i + 2*i + 0*i).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 0.599174.\nAnswer: 0.599174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1f1e - -3?\nAnswer: 1f21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -3*q + 30. Let i be w(6). Solve 5*f + 36 = 4*j, 0*f + i = 4*j + f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 88 - 95. Sort 0.1, 0.5, x in increasing order.\nAnswer: x, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from petupjp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 375 and 5169.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {w: 3, g: 4, e: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57 + -52. Suppose 0 = 4*q - k*v - 289, 5*q - 281 = q - 3*v. What is the remainder when q is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/(-10))\/(-3) - (-82)\/3075*-705.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3700 divided by -50?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 124040 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -12 - (-1316 - -1294)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (32 + (3 - 28))*14\/(-1911)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3375)\/2700)\/((-9)\/(-12)*8\/(-12))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -8*y + 3*y + 95, -c = 5*y - 55. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91) + (-5*2*sqrt(91) - sqrt(91)) + -4*-4*sqrt(91))\/((sqrt(630)\/(1*sqrt(10)))\/(sqrt(108)\/sqrt(3))).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51898, -207583, -467058, -830323, -1297378?\nAnswer: -1868223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8644 is divided by 4284?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 200009203 is divided by 2585?\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + d = -k + 30, -4*k = -3*d - 120. What is the second derivative of -96*s**5 - k + 32 + 124*s**5 + 132*s**5 - 14*s wrt s?\nAnswer: 3200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50623242?\nAnswer: 2, 3, 761, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0108972 rounded to 4 dps?\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31748 is divided by 344.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**2 + 2*l**2 - 4*l**2)*(2*l + 2*l - 6*l - 2*l - 5*l + 5*l + (2*l + 4 - 4)*(-4 + 2 + 0)).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 882*h**4 + 19 + 766*h + 53*h - 19 wrt h?\nAnswer: 10584*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of a**7\/63 - 4*a**6\/45 + a**5\/6 - a**4\/9 - 11*a. Determine c so that o(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 305 + 262 = 0. Let q = 68 - j. Suppose -14 = q*k - 1269. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14691 and 498.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 0 = -4*w. Let x(o) = -o**2 + 10*o + 5. Let a be x(10). Solve -3*z + w = -a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 3927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 s, and 1 n when three letters picked without replacement from nmspnsnmpmkpapssssns.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7.71 - 1.14. Round j to one dp.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 - 4*t**2 - 5. Let o be s(4). Let c(k) = -2*k. Let p(a) = 3*a. What is o*p(y) - 6*c(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 324 and 1026?\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -19*i - 43375. Let x(t) = 6*t. Calculate v(x(g)).\nAnswer: -114*g - 43375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10) - sqrt(90)\/(sqrt(9)*2))\/sqrt(5) - (-6*sqrt(128)*2)**2.\nAnswer: -18432 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-6))\/(130\/(-195))*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -73471 (base 9) in base 12?\nAnswer: -2409a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18285 by 18285.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 31*f + 4*f**2 - 58*f**4 - 2*f**2 - 32*f + (0*f**3 + f**3 - 3*f**3)*(3 + f - 3).\nAnswer: -60*f**4 + 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-40)\/50 + 488\/10. Suppose -52*r + 100 = -u*r. Solve 5*x + 0*x - r = 5*v, 4*v + 14 = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.174 - 521.174. Let o = 540 + q. What is the closest to 6 in -2\/5, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 + -2 - 18 - 29) + (8 - -1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + 826790\/8 + 3 + (-154)\/56 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of -3*l**4\/4 - 17*l**3\/3 + 7*l**2. Is v(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s - s**2 - 6 + s**2 + 2*s**2 - s**2. Let y be i(4). Solve -y*c - l = 2*c - 9, -20 = -5*c - 3*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -4 - 1 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -11*v - 532. What is n(-48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -284999*q**2 + 7*q - 30. Let p be l(-10). Round p to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 minus 0.793810545356?\nAnswer: -1.093810545356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*n*p**3*x + 2*n*p**2*x + 2*n*p*x + 3*n + 2779*p**3 + 42*p + 4 wrt p.\nAnswer: -12*n*p*x + 4*n*x + 16674*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k + 39738 = 215949. Let q = k + -6620. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3935 is divided by 112?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-906079510)\/12225 - (1 + 14\/(-15)). What is g rounded to the nearest 1000?\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -28, 2, 124, -5, 255 in decreasing order.\nAnswer: 255, 124, 2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**3 + s**2 + 1. Let d(u) = -u**2 - 35*u - 65. Let a be d(-33). Let i be h(a). What is the greatest common factor of i and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 - 5*g + 6. Let d be r(8). Suppose 4*f - 76 = -4*b, -4*f = -2*b + d - 100. Calculate the least common multiple of f and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -28*l. Let s(t) be the third derivative of t**4\/12 + 1058*t**2 + 2*t. Calculate s(b(o)).\nAnswer: -56*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 87*j**2 + 85*j**2 - 175*j**2. Let p(z) = 19*z**2. Give h(p(f)).\nAnswer: -1083*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25902*s**2 + 11278*s wrt s.\nAnswer: -51804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -32*c**2 + 20*c. Let t(p) = p**2 - p. Calculate -k(h) - 20*t(h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 4*h - 42, -4*j - 6*h + 4*h = -108. Suppose -2*w + 69 = w. Let a = -13 + w. What is the remainder when j is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - -3 - -2) + 4. What is the greatest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3034297 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -73.8 and 248?\nAnswer: -18302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1153 (base 7) in base 3?\nAnswer: 120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -26, -31, -38, -47, -58, -71, -86?\n\"Answer: -n**2 - 2*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 28. Let z = 14 - a. Put z, 5, -2 in decreasing order.\nAnswer: 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 576333.\nAnswer: 3, 64037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*p = -38*p - 13 - 85 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2496 from 1.725.\nAnswer: -2494.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 - f**2 - f + 1. Let p(u) = -2*u**3 - 3*u**2 - 2*u + 3. Let q(y) = -p(y) + 3*r(y). What is the second derivative of q(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 4*m**2 + 3*m + 9. What is the tens digit of i(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1587 and 27.\nAnswer: 14283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -41*j**3 + 19*j**3 + 1 + 20*j**3 + j**2 to the form z*j**3 + i*j**2 + f + a*j and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 + 16*u + 17. Let g be l(17). Let p = 59 + -43. Put p, -1, g, 4 in descending order.\nAnswer: p, 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 + -108. Let o = -55 - v. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -529, 0, -2351 in ascending order.\nAnswer: -2351, -529, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*t**2 - 8 + 8 + 0 - 79*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.8216 years in decades?\nAnswer: 9.98216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 58643315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 527*n**2. Let i(f) be the first derivative of -5*f**2\/2 + 2853. Determine b(i(j)).\nAnswer: 13175*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of d**5\/60 + d**4\/24 + 3*d**2 + d. Let w(y) be the first derivative of c(y). Find the second derivative of w(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6d9e2 (base 15) to base 9.\nAnswer: 582825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(242) - (sqrt(242) + 0))*1*5 + -4 + 0)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-2 + 0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-54)\/12)\/9)\/((-1)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7189 and 78.\nAnswer: 43134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.01 - -0.41. Let o = 32.187 + -32.417. Which is the third biggest value?  (a) j  (b) 2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 6 - 3)*(124*v**2 - 124*v**2 + 49*v**3).\nAnswer: -49*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -10, -3\/2, -15, -2\/3, 1\/13, -4\/1069?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**1)**(2\/47)*(i*i**(-1\/2))\/(i\/(i\/i**13*i)) assuming i is positive.\nAnswer: i**(-1077\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -225*i + 3 - 3 + 174*i + 96*i + 143*i.\nAnswer: 188*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o - 575. Let v(h) = -2*h - 1. What is -k(d) + 2*v(d)?\nAnswer: -2*d + 573","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5*s + 362 = -233, -2*s + 302 = 2*t. Suppose 2720 = -t*w + 154*w. Does 40 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-160 + 160 + 18*d)*(-2*d - 2 + 2).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 + 11. Let n(i) = -2*i - 6. Let y be n(b). Suppose -j - y*w = -6, 2*w - 10 = 4*j - 8*j. Solve j*k = k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -5*o**3 + 11*o**2 - 11*o + 11. Let m(v) = 6*v**2 - 6*v - 12*v**3 - 2*v + 2*v + 9*v**3 + 6. Give 6*d(i) - 11*m(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3958 is divided by 1970.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 197208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*i = -11, n + 2*i - 13 = -i. Suppose 3*h = -4*y + 3, 8*h - 3*h + 2*y - 5 = 0. Let z be (h - -7)\/(n*2). Sort -5, z, 5 in decreasing order.\nAnswer: 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23*q**6*y**3 + 519*q**4*y**3 - 65036*q**2*y**2 - q*y**3 wrt q?\nAnswer: 2760*q**3*y**3 + 12456*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 8 = 12. Suppose 4*i + 5 = -5*y, 26 = -4*i - 3*y + 5*y. Put d, 0, i in increasing order.\nAnswer: i, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 AM and 9:02 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 36  (b) -2  (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2\/3, 3, 1\/7, -194?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 18*v**2 + v - 15. Let f be w(18). Let o = f - -8. Suppose 4*j = o*j - 21. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6 + -1)*6\/(-7). Suppose -3*y + 46 = 5 - 1. Suppose 3*v + 5*c - y = r*v, 4*c = -4*v + 24. Solve 0 = v*h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/(4*sqrt(2)*1).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 + 30*u - 27. What is b(29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -46 (base 7) to base 6\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1295\/312 - 1\/39. Let k be 2244\/(-14) + (-4)\/(-14). Calculate the common denominator of t and 276\/k*2 - -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -3*v - 9. Let z(j) = -4*j - 10. Let y be (6\/8)\/(300\/(-160)*2\/(-10)). Calculate y*z(o) - 3*k(o).\nAnswer: o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**2. Let u(g) be the first derivative of -g**2 - 44*g + 91. Determine x(u(m)).\nAnswer: -8*m**2 - 352*m - 3872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 54446, 51\/5, 1\/2?\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by -209.\nAnswer: 10\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + 69\/3*-1. Let m = j - -31. Suppose -h - 10 = 2*i, -23 - 2 = 5*i + m*h. Which is the third biggest value?  (a) 14  (b) i  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 24 = 4*f - 2*m, 0 = -3*m + 15. Let y be (f + -1)\/((-10)\/10). Suppose 2*l + 4*g - 32 = -y*l, 0 = 2*l + 5*g - 31. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (5 - 2))\/(2\/(-18) + 830\/747)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5.495 and -22.\nAnswer: 120.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 4*b - 7*b + b. Calculate the remainder when 492 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 7) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -196 + q**2 - 1663 + 481 - 2594 in the form h*q + j*q**2 + o and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 484026 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*b + 19 = -4*g, -4*g - 2*b - 62 = 0. Let k(p) = p**3 + 12*p**2 - 14*p - 17. Let z be k(g). Sort 3, z, -2.\nAnswer: z, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-3)*1287\/(-99)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -x**4\/4 + 7*x**3\/3 + 2*x + 3. Let l be z(7). Solve -g + 3 = -l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 488 - 702. Is c > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-11))\/d**(3\/2)*d\/(d*((d\/d**(-11))\/d)\/d)*d**(-2\/45) assuming d is positive.\nAnswer: d**(-1939\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -28\/7111 and 37\/14222.\nAnswer: 14222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*z**3 - 19 + 11*z**3 + 16 to u*z**3 + i + m*z**2 + h*z and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 23 + 1 + 21 + (738 - 758)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10190 less than 0.052?\nAnswer: -10189.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3 - 5*a**2 + 0*a + a**2 + 5*a**2 + 2*a. Is p(2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4\/5, 1\/14, 26, 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17.6 + -0.4. Let y = -11 + -6. Let r = x - y. What is the third biggest value in r, 5\/4, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.064534 from 9495662514.\nAnswer: 9495662513.935466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*c*o**3 - 198*c*o*q**2 - 23*c*o + 2*o**3*q**2 - 5801*o**2*q**2 - 2*o*q + 2*o - 13*q wrt q?\nAnswer: -396*c*o + 4*o**3 - 11602*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 442, 485, 528?\n\"Answer: 43*n + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + t + 2130. Let j = 1262 - t. Suppose 0 = -5*h + 4*p + j, 4*p + 104 = h - 0*h. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3393646 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 66 = -3*u. Let b(y) = -y**3 + 7*y**2 - 21*y - 8. Let l be b(3). Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 PM and 9:53 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 7*m - 95 = -7*m - 9*m, -7*m = 5*v - 12*m + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q - 9*q = 16. Suppose -3*b + 2 = -v, -q*b - 7 = -2*b + v. Is 26 a factor of ((-2 - b) + 27)*(1 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3600 divided by 200.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 25987931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 141599, 0.03, 0.07 in increasing order.\nAnswer: 0.03, 0.07, 1, 141599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = j + 31, 5*s + 6 + 20 = 4*j for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 PM and 4:06 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, 4, -0.3, -4, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n + 0*n - n - 130*n + 128*n - 210*n + n - 3*n + 3*n - 1 + 1 - n + 2*n + 0 + 0 + (6*n - 3*n - n)*(-2 - 5 + 5) + 2*n + 2*n - 5*n.\nAnswer: -216*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = b - 506. Let s = -159 + b. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2521 + -2445. What is the highest common divisor of a and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8476 = -238*o + 2*o - 58*o + 14750 for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1148087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 34*k**2 - 49*k**2 - 47*k**2 + 37*k**2 + 27*k**2. Let s(h) = 0*h + 2*h + h. Give s(f(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1518 or -1505?\nAnswer: -1505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 394 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-75)\/(-10))\/(9\/30). Calculate the highest common factor of 225 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -41*m**2 - 2. Let p(h) = 573*h. What is n(p(l))?\nAnswer: -13461489*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02044224629 to four dps.\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 3 = -0*o - k, k - 2 = 2*o. Suppose 2*t + 2*t = 28. What is the remainder when t*(0 + 1 - o) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**3 - f**2 + f - 2. Let w be n(-2). Let u(p) = 4*p - p - 8 + 0*p. Is u(w) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -4, 2\/3, -1, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 + c + 2. Let k be o(0). Suppose 2 = -p - 2, -2*z - k*p + 40 = 0. Does 9 divide 1\/4 - (-426)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.84 + -0.06. Let r = v - 0.1. Which is bigger: r or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 - 2815*g + 150 - 63 - 44.\nAnswer: -2815*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 723106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 50 + -55 - (-16 + 12 + 0 + 49).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k = 6*k. Sort -4, 21, k in decreasing order.\nAnswer: 21, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1303, -1311, -1321, -1333, -1347, -1363, -1381?\n\"Answer: -o**2 - 5*o - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/(-7) - -10*(-14)\/245?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 1, 0.106, -3, -0.215?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (10 + 5)*(2 + (-48)\/20). Let q be (1 - -1) + (-1 - x\/(-8)). Let d = -3 + 4. Which is the nearest to d?  (a) q  (b) 2\/19  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52276*7.\nAnswer: 365932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4484\/1416)\/(4\/24)*(-2)\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -8 - 7\/4*a**3 + 1\/4*a**4 + 3\/2*a**2 + 8*a = 0. Calculate a.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2199, -2777, -3379, -4011, -4679, -5389, -6147, -6959?\nAnswer: -7831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -768\/7*n**2 - 6\/7*n**4 - 416\/7 + 184\/7*n**3 + 1056\/7*n = 0. Calculate n.\nAnswer: 2\/3, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 109.\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11220 (base 6) in base 9?\nAnswer: -2163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**6*(f\/(((f*f\/(f*f**(-1\/9)*f*f))\/f*f)\/f))\/f)**25 assuming f is positive.\nAnswer: f**(1775\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 - 8*m - 12. Let g be i(10). Suppose 3*f = -f + g. Solve f*w + 0*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*d = -14. Suppose -d = -0*s - s - a, 3*a = 5*s - 3. Find the third derivative of 11*z**6 - 3*z**3 + 2*z**3 + z**s + 7*z**2 wrt z.\nAnswer: 1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 801 divide 149959215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -55, 4, 2 in decreasing order.\nAnswer: 4, 2, -1, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-510572)\/(-11) - (-3816)\/(-2332).\nAnswer: 2, 23, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -10*v + 102. Let n be (18\/(-12))\/((-5)\/v). Let z = 3 + -1. Solve z*b + 4*t - 3 = b, 0 = -b - t - n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -10*v + 2. Suppose 0 = -67*l + 95*l - 224. What is the smallest common multiple of w(-4) and l?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 1377 = -1392. Let z(b) = -55*b. Let i(p) = -28*p. What is m*i(a) - 3*z(a)?\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 0. Suppose -2*b + 5 = u. Suppose 0 = -2*f - 4*x - b, 4*f + 10*x = 5*x + 5. Solve 5*p - 35 = -4*h - h, -4*p + 10 = -f*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 52.11 + -54.11. Sort q, 8, -4, -205 in increasing order.\nAnswer: -205, -4, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-4)*(-12)\/(-9). Let g = -3.395 + 2.895. What is the third biggest value in m, 0, g, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 12. Let t = 47356 + -47311. Calculate the remainder when t is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**11\/f**(-2\/11)*((f**(2\/15)*f)\/f)**(-41) assuming f is positive.\nAnswer: f**(943\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 157*q - 156*q - 422. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(5642\/(-155))*(-39)\/(-12).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -59 + -1 - (-9 + -42 - (-33 + 1))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 8490, 8490, 8462, 8394, 8274, 8090, 7830, 7482?\n\"Answer: -2*x**3 - 2*x**2 + 20*x + 8474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {r: 1, g: 1, f: 1, c: 4, p: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of t**5\/30 + 5*t**4\/8 - 4*t**3 - t**2 - 7. What are the prime factors of g(12)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 13) to base 14.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56431 is divided by 1820.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + y**2 - y - 1. Calculate k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 504845096 to the nearest integer?\nAnswer: 22469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, 2\/13, -5, 1.42, 3, 278?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/4355 and -77\/931320.\nAnswer: 62398440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 9*y + 7*y - 7*y + 3 + y**2. What is u(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 98 - 83. Calculate the greatest common factor of 165 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 3*i + 1. Let k be n(-4). Let s = 43 - 28. Let u = k + s. Solve -2*m = -0*l - 5*l - 5, 4*l = -u*m + 24 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.218671 + 0.03?\nAnswer: -10.188671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m - 1. Suppose 11*y = 7*y + 12. Suppose y*v + 4*r + 0 = -21, 0 = -3*v - 5*r - 24. Let g(b) = 2*b. Let t(l) = v*g(l) - 2*p(l). Calculate t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -825, -824, -821, -816, -809, -800, -789?\n\"Answer: z**2 - 2*z - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 2*q + 128 = 7*n, 0 = 2*q + 2. Let j = 86 - 75. Let v(f) = -25 + j + 14 - n*f. Let y(a) = -a**2. Give v(y(o)).\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -407569444*u**2 - 6*u - 2970452.\nAnswer: -815138888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 72922307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-126)\/(-70) + (-430)\/225. Let x = -0.1 + 1.1. Suppose 0 = -3*n + 3*y + 9, -12 = -2*n - 2*n + 3*y. What is the closest to n in 0.2, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 820 in 75.9, 6, -4?\nAnswer: 75.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (2 + (-1 - -1))*(-14)\/(-49)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7325009 is divided by 1470.\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -93\/14 or -8?\nAnswer: -93\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-37)\/3626*108\/18?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/(l**(-4)\/l)*l)*l**8)**(3\/4) assuming l is positive.\nAnswer: l**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -1173.\nAnswer: 3519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of 3\/2*v**2 + 4 + 3\/4*v**4 + 0*v**3 + 0*v. Find the second derivative of l(q) wrt q.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4966 - -132b?\nAnswer: 6095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-26 - 3 + 0)*(-3*n + n + 5*n + 2*n - 9 + 9 - 3*n - n + 3*n + 0*n + n + n + (n + n + 0*n)*(0 + 2 - 4)) in the form d + l*n and give l.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -111 - 63. What is the tens digit of 39\/(-26) + g\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 10, c: 1, o: 2, a: 1}. What is prob of picking 3 w?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 187 = 2*c - 2*k, 4*c = 3*k + 221. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(126)\/sqrt(9))\/sqrt(2) + (sqrt(28)\/sqrt(4))**2 + -2 + (-2*sqrt(14)*-5)\/(sqrt(200)*-2).\nAnswer: sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i - i + i)*(i - 2*i - 3*i) + (-2*i + 2*i - i)*(-5*i - 2*i + 5*i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 31, 14, -27, -104, -229, -414?\n\"Answer: -2*q**3 - 3*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, 2, -4, 655, -5 in decreasing order.\nAnswer: 655, 29, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -744 divided by -4.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 22.4 + -22. Suppose u = z + 12, 4*u + 0 - 43 = -z. Which is the nearest to 0?  (a) j  (b) u  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -19398  (c) -0.3  (d) -2\/15  (e) 232\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 14*n**5 - 3650*n**4 - 1086*n**3 + 10978*n**2 - 4168*n - 2088 = 0?\nAnswer: -2, -2\/7, 1, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -2*l**2 - 2*l + 1. Let b(x) = x + 1. Let u = 1362 - 1363. Determine u*b(z) + w(z).\nAnswer: -2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6, 20, -3, -0.03342, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 465660, 465656, 465652?\nAnswer: 465648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19968 and 1124994.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, z: 11}. What is prob of sequence czz?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2561 and 3349?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 - 6*d - 8. Let v be l(-6). Calculate the highest common factor of v and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -3*z + 5. Let q be t(-13). Calculate the greatest common factor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 5*o + 2. Let w(u) = -6*u - 2. Determine 4*m(g) + 5*w(g).\nAnswer: -10*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-72)*8)\/(2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 3*j - 852 + 819 = 0, 7*h + 88 = -8*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t and 1 m when four letters picked without replacement from ttaaattaaammtamtta.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 346663871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5238040 rounded to the nearest ten thousand?\nAnswer: 5240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 238978 + 468*j**2 + 202114 - 24336*j - 3*j**3 + 35462 - 94053 + 39323.\nAnswer: -3*(j - 52)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1434582233 + -0.3.\nAnswer: 1434582232.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16\/5 smaller than -50.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*y + 79*y + 11*x = 3, 4*x - 3 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2906, 5825, 8730, 11615, 14474?\nAnswer: 17301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/(-70) + ((-3)\/77 - 22\/(-121))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.28, 2, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 16*w - 3*v + 52 = 0, 0 = -w + 4*v - 8. Solve -17*b + w*b = -36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 33*l**2 - l*r**3 + 29*l*r - 914*r**3 - 6*r**2 wrt l?\nAnswer: 66*l - r**3 + 29*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -3*z + 14, f = 4*z + 3*f - 18. Let c(v) = -2*v - 2. What is the least common multiple of c(-2) and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -8*i + 106. Let f be o(10). Suppose 8 = -9*z + f. Solve -3*j + p + 4 = -8, z*p + 9 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + 3657 - (16\/(-4) - -3). Round d to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 1)*(-4*y + 0*y + 2*y)*(9 - 6 + 13).\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.32362 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 0 + sqrt(304) + sqrt(304) - (sqrt(304) + 0 + -5))**2 + -4.\nAnswer: 56*sqrt(19) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4963507 + 2409488 - 11656595 = -11*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3069, 3067, 3065?\nAnswer: 3063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -103*d**3 + 9*d**2 + 3*d + 11. Let i(c) = 165*c**3 - 14*c**2 - 5*c - 17. Give -5*i(q) - 8*l(q).\nAnswer: -q**3 - 2*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/6085330 and -19\/8668?\nAnswer: 133877260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1687 is divided by 776?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.26 or -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 3*p**2 + 3*p - 14. Let h be t(-3). Let n be 1 + (0 - 8)\/(-2). Solve -n = k + h*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14255083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 - 8)\/(0 + -1). Suppose 0 = -5*x - 2*t + j, -5*x = 3*t - 4 - 5. Suppose 0 = 2*u - 6 - x. Solve -u*s + 12 = 0, a - 19 = -0*a - 5*s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 225066, 224801, 224536, 224271, 224006, 223741?\n\"Answer: -265*m + 225331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 56 + -165 - (-58 + -53).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 98, -3\/7, 255, 0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1816 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**2\/5 + 36582*q\/5 + 117216.\nAnswer: -3*(q - 12210)*(q + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 224 - 142. What is the remainder when q is divided by 14 + (-7)\/(-2) + 2\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 15*x + 5. Let f(p) be the second derivative of -4*p**3\/3 - 3*p**2\/2 + 101*p. Give -5*f(h) - 3*u(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/(-1))\/(1 + (-10)\/14). Suppose -17 = -3*r + n. Put 3, r, 1 in ascending order.\nAnswer: 1, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 76 = -31. Let q = b - 58. Let a = 89 - q. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 18.16929g?\nAnswer: 0.01816929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 187 a factor of 1035419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 + 4*v - 6. Let g be n(4). Let q = 8 + g. Suppose 5*s = -2*m + 216, 5*m = -q*s + m + 96. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 2 + 2 + 5 - 1276*k**3.\nAnswer: -1276*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2027 or 2025?\nAnswer: 2025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 874530683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 19061?\nAnswer: -38122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(13\/3)*h)\/h)\/(h\/((h\/(h\/h**6))\/h)) assuming h is positive.\nAnswer: h**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**1)**(-3)*(q**1\/q)**(-6))**(-5\/3) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -24368667\/10 < -2436868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 130.3 and 2?\nAnswer: 260.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = 11*g + 29. Let d(a) = -12*a**3 + 20*a**2 + 28*a - 12. Let k(b) = 8*b**3 - 13*b**2 - 18*b + 8. Let j(n) = g*k(n) - 5*d(n). Factor j(l).\nAnswer: -4*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l**2. Let y(n) = 491*n - 54. Let w(c) = -516040*c + 56745. Let m(b) = 12*w(b) + 12610*y(b). Calculate m(r(s)).\nAnswer: 1940*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 118989.9951 to the nearest one thousand.\nAnswer: 119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - -1. Let w = 5.046 + -5.246. Which is the closest to w?  (a) 7  (b) -0.1  (c) 0.4  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**4 + 27*t**2 - 12*t - 36.\nAnswer: -3*(t - 2)**2*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 16 + 10)*(24 + 0 + 6)*(d - 4 + 4)*(5 - 3 + 0).\nAnswer: -1080*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 161757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l\/l**(-1\/3))\/((l**(-1\/5)\/l)\/l))\/(l**(-1))**(-24))**37)**(-19) assuming l is positive.\nAnswer: l**(215821\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1 - 43*15\/(-70) and -149\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3441340 (base 5) in base 6?\nAnswer: 1155251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -i**4 + 7*i**4 - 3*i - 1 + 7*i + 2*i**2 + 512*i**3 + 3*i - 8*i as r*i**4 + l*i**2 + y*i + g + w*i**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*(v*v**(5\/4))\/v*v)\/v*v\/(v**(-1\/11)\/v)*v*((((v*v*((v\/(v\/(v\/v**12*v)))\/v)\/v)\/v)\/v)\/v)\/(v*v*v**(-13)*v) assuming v is positive.\nAnswer: v**(147\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8478 divided by 6.\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 0, 2\/3, 2 in increasing order.\nAnswer: -1\/3, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -162662, -325945, -489228, -652511, -815794, -979077?\nAnswer: -1142360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = n + 2. Let o be n\/(-3)*(2 - -25). Suppose 0 = -2*a - 5*k + 3*k + 30, 4*a + k = 57. What is the highest common divisor of a and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155*u = -211*u + 125*u + 2892 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 15 + 10 = -5*a, 2*c + 2*a = 2. Suppose 18*u - 25*u = -28. Let g = -47 + 56. Solve c*j - 12 = u*t, -2*t - t = -4*j + g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7674888365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2841473*f - 825019*f + 1071494*f.\nAnswer: -2594998*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 13 - (3 + 0 + -18 + 16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25828\/7 in 16, 12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 588.4923803 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(2\/9))**(4\/7)*w**6*w*w*((w\/(w*w**(1\/10)))\/w)\/w)**(-3\/8) assuming w is positive.\nAnswer: w**(-3797\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20719 - 4943. Calculate the greatest common factor of l and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 36246.816 and 0.2?\nAnswer: 36246.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 2)*((-455)\/182)\/((-5)\/36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -269*p**2*t - p*s**3*t + 2*p*s**2*t - 10*s**3 - s*t - 1 with respect to p.\nAnswer: -538*p*t - s**3*t + 2*s**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 9. Let z be 0 + -1 + d + 0. Let v be (-6 - -1)*z\/(-5). Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -3*r. Suppose -m + r*m = 1. Let h be 1\/((-5 - -2) + 2). Is m greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 226481 is divided by 11919?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) + (3*sqrt(117) - sqrt(117) - sqrt(117))*5)\/sqrt(9) - (sqrt(91)\/(sqrt(7) + sqrt(28) + sqrt(7)))**2*-2) + 0.\nAnswer: 13\/8 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 85 and 578.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -36 - -36.5. Suppose 4*p + 4 = 3*d, 5*p + d - 6 = 8. Put f, p, -1 in ascending order.\nAnswer: -1, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 PM and 11:03 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 5*d**3 + d**2 - 76*d - 5. Let k be p(-4). Suppose -5*x = 33 - 248. Sort -3, 3, k, x.\nAnswer: k, -3, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = 3*n + 17, -29317*m + 3 = -29316*m - n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13964005 and 715?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40038, 39963, 39920, 39921, 39978, 40103, 40308?\nAnswer: 40605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -17*o**2 + 38*o - 38. Let f be n(26). Let c = -7328 - f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 5*q + 52 = 0, 4*t + q - 20 + 34 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 1 + -2 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 45 = 2*a, -3*p - a + 30 = -p. Suppose -m + 4*d - 18 = 0, 0 = -3*m + 3*d - 78 + p. Let r = 32 + m. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 271 a factor of 67467358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-15)*23)\/(2310\/(-5775))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 33065 - 3?\nAnswer: 33062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 597942 and 30295728?\nAnswer: 90887184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 135616520 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -58 - -148. Calculate the remainder when y is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -143 + 1857\/13. Let l = -4.8 - 0.2. Which is the third smallest value?  (a) w  (b) 2\/7  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**6\/p)**43 assuming p is positive.\nAnswer: p**215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of -z**7\/21 + z**6\/5 - z**5\/5 - z**4\/3 + z**3 - z**2 - 3*z - 1. Let c(t) be the first derivative of o(t). Factor c(y).\nAnswer: -2*(y - 1)**4*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 68294 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide (160\/(-30))\/((-2)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**2 + 3*v - 3*v)*(v**3 + 0*v**2 + 0*v**2 + (0*v + 0*v + v)*(-4 + v**2 + 4) - 8*v**3 + 4*v**3 + 27*v**3).\nAnswer: 50*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 5*l + 116 = 0, -2*l + 5 = 1. Let c = -9 - w. Suppose 106 + c = 4*f. What is the highest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in nine sixteenths of a day?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4977 is divided by 106?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 149 - 148.8. Let z be 68\/(-6) + (-10)\/(-30). Let c = z - -10. What is the closest to 1 in c, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -342*i = 349*i - 692*i + 3. Let k = 2.02 + -0.02. Which is the closest to 19?  (a) -0.3  (b) 1  (c) k  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -0.441  (b) 526  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22537 - -8705. What is s rounded to the nearest one hundred?\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/60949639 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 11:05 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9478039 is divided by 2539.\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mimm when four letters picked without replacement from mmmmmmiimmmm?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 2 = 2. Let w(n) = 417*n**2 + 6*n - 7. Is w(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of -p**3\/3 + 5*p**2\/2 - 5*p - 10151. Determine k(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -11*m - 13. Which is the nearest to 0.1?  (a) m  (b) 5  (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -59*g + 9561. Calculate w(158).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 + -182?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 PM and 12:40 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1646.15103 + 23433.\nAnswer: 21786.84897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*j + 25*j + 3 = -k, 0 = -4*j - 4*k + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.01809153423 and -2.\nAnswer: -2.01809153423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 42*j**2 + 8 + 14 - 22 to the form y + s*j + f*j**2 and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 930, 0.2 in decreasing order.\nAnswer: 930, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*w + 33 - 26 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 9  (b) 34925  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 132.19004 rounded to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2409 divided by -803.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -85.48 less than 7781.025?\nAnswer: 7866.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-159)\/265*2\/9*3. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/5)\/t**(1\/3)*((t\/(t*t**(2\/5)))\/t)\/(t\/(((t*t*t**(-1)*t)\/t)\/t)*t))**(-10) assuming t is positive.\nAnswer: t**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 555984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.14 + -0.124. Let f = 434536 - 434535.98399842. Let j = f - h. What is j rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (640\/(-245))\/(12839\/(-518) + 25) - 48\/(-4).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/15)\/(-2) + 9\/(-15). Let q(x) = x**2 - x + 1. Let h(c) = -24*c**2 + 20*c - 20. Calculate y*h(l) - 20*q(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*k + 175 = 41*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 83 + -76.2. Let y = 2.8 - j. Sort -1.2, 5, y, -1\/8 in descending order.\nAnswer: 5, -1\/8, -1.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -40889, -76954, -113019, -149084, -185149, -221214?\n\"Answer: -36065*w - 4824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 4 = -3*r - 1, 5*r + z = 35. Suppose -5*h = n + 15, 3*h + r = -3*n - 3. Suppose -d + 2 = -1. Solve -3*a + n*a = -d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -1. Let y(x) = -2*x**4 - 3*x + 66. Let a(l) = 3*s(l) + y(l). What is the first derivative of a(q) wrt q?\nAnswer: -8*q**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 496. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -16903, -16871, -16839, -16807?\n\"Answer: 32*l - 16935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7225 + -4372. Suppose -5*r - 5*d = -2020, 145*r = 141*r + d + 1611. Suppose -5*i = r - z. Round i to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 4*a + 29. Let n be (-1)\/4 + 197\/4. Let q = a + n. Calculate the remainder when 59 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 99 from 0.58.\nAnswer: -98.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5528 divided by 691.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7 - -26677586?\nAnswer: 26677604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -45 - -60. Let o = w + -17. List the prime factors of (-1)\/(3\/474*o) - 2.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*r**5 - 2877*r**4 - 494669*r**3 - 17350267*r**2 + 11732160*r - 1964556 = 0. What is r?\nAnswer: -66, 1\/3, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 326097 is divided by 65213?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*n - 4 - n**3 + 4*n - n**3 - 11*n**2 + 6*n**2 in the form p + d*n + s*n**3 + b*n**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 9 = -4*q - 7, 2*v - 10 = -3*q. Suppose h + 3*t + 10 = 0, 4*h - 6*h + t + 8 = 0. Solve -v = -h*f + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/33 and 53\/390.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -232156, -232402, -232648, -232894, -233140?\nAnswer: -233386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6*(-5)\/(-75))\/(1\/5). Suppose r*l = 4*l + 750. Let g be l\/(-60) - 2\/8. Solve 3*m - g = -0*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvhhvmmvmhv. What is prob of picking 3 v?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1102780 - 118053310.\nAnswer: -116950530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1921 >= -1914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 130 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -0*o - o. Suppose 4*p + 33 = o*n, 7 = 5*n + 5*p - 13. Let t be ((-1)\/3)\/((-3)\/18). Solve 4*z + 16 = -2*g + n*g, -5*g = -t*z - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -119 + 436. Suppose -1420 = -2*d + 4*n, 3*n + b = d - 391. What is the smallest common multiple of d and 6?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1843 + 2*a**2 - 4*a**3 + 1850 - 2*a**4 + a - 3688 in the form s*a**3 + g*a + f*a**2 + i*a**4 + h and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - 5. Solve 0 = -l*j - 14 + 39 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6675402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 308118 divided by 15\nAnswer: 102706\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*s**2 - 42*s**2 - 29*s - 93*s + 12*s wrt s?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d - 39. Suppose -5*a - 69 = 5*k + 26, -k + 17 = -a. Calculate o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 + 4*n**2 + n - 5. Let m be b(4). Let k be 7 + 8\/4 + m. Solve -3*f = f + k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21*x**5 + 25*x**6 + x - 7*x**2 - 3*x + 3*x**2 + 20*x**5 wrt x.\nAnswer: 3000*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 33*n**2 + 8*n - 3. Let b be a(34). Let r = b + 2248. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from qqfqofiqqqoooigiqi.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*n + 314829 - 314283 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 34*n + 32*n + 2*n**2 + 2 to the form t*n**2 + g + b*n and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 784?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1479161248?\nAnswer: 2, 19, 617, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 2805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 59*t - 42*t. Let u = 4 - 3.7. Which is the third smallest value?  (a) u  (b) -0.2  (c) t  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + 3103241040?\nAnswer: 3103241040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (-20 - -21)) + -29 - -17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -185\/2364 + -1\/197. Which is bigger: -37 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 130751, 261517, 392283, 523049, 653815, 784581?\n\"Answer: 130766*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7470926503 + -0.668.\nAnswer: -7470926503.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 2  (b) 4  (c) 0.4  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 - 60*c**2 + 60*c - 59. Let k be u(-61). Let j(n) be the first derivative of 1\/2*n**k - n - 1. Determine j(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3 + 66*u**2 - 64*u.\nAnswer: -2*u*(u - 32)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1064 and 268156?\nAnswer: 10189928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h - 3 + 0*h + 5)*(-1 + 4 + 0).\nAnswer: 9*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/(-28)*(-2)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 770 and 269368.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -3*h + 21, -3*h = -h - 4*m - 12. Let o be ((-7)\/(-2))\/(2\/h). Let z = 25 - o. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k + 3 + 3*k + k. Let g(m) = 2*m - 5 - 13*m + 8*m. What is 3*g(l) + 5*z(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1686446683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3*3\/9*-1. Let m be (v - 2) + -15 + 2. Let p = m + 53. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ittiligi. Give prob of sequence li.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.7563 and 0.28.\nAnswer: 0.211764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19 - -29. Let j = 442\/151 + -2512\/755. Which is the closest to r?  (a) -4  (b) j  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 26) + (11 - 10 - -7) + 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 13 + -4 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 1501.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 8 = -6*i. Suppose -2*j = -j + i*x - 118, 0 = 2*j - 5*x - 210. Suppose -36 + j = s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 11:17 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/3*(-3 + 3). Suppose -4*j + 0*j + 12 = r. Suppose 4*o = -3*a + 26, -58 = -3*a + j*o + o. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 166 + -82. Let u be ((-12543)\/(-37))\/(2 - (2 - -1)). Let g = 395 + u. What is the greatest common factor of i and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + ((-1)\/(-2))\/(28\/(-1638)*13). Find p, given that 3 - 15\/8*p**2 + 3\/8*p**3 + k*p = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/28)\/6*(-2 + 4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.024727549 - 1.89.\nAnswer: -1.865272451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 3768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 941*b*k**2*m**3 + 236*b*m**2*s - 258*k**2*s - 2*k*m**2 - 4*k*m + k*s - 15*m**3*s wrt b?\nAnswer: 941*k**2*m**3 + 236*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 413 is divided by 157?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241965188?\nAnswer: 2, 617, 98041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.205 - 0.087. Round s to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -39*t + 3. Is i(-3) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -2, -0.53, -0.12 in ascending order.\nAnswer: -2, -0.53, -0.12, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9461.232um to centimeters.\nAnswer: 0.9461232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 PM and 1:11 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - (8 - 15)) + (-2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000354088 rounded to six decimal places?\nAnswer: 0.000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 285 divide 25452210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8347 - 125273\/15. Find the common denominator of k and 88\/375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10048 divided by 105\nAnswer: 10048\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b + 6. Let o(f) = 5. Let x(t) = 2*m(t) - 3*o(t). Let d be x(-5). Let g = -6 - d. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 4*d - b - 197, -212 = -4*d + 4*b. What is the remainder when d is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -44 + (181 - 148)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 875.9 + -874.9. Which is the nearest to -0.04?  (a) 2  (b) -3  (c) m  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 + 2*b. Let l(v) = 2*v**2 - 4*v - 27. Let z(c) = 2*i(c) + l(c). Let o(k) be the first derivative of 2*k**3\/3 + 1. Calculate o(z(q)).\nAnswer: 32*q**4 - 432*q**2 + 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 u, and 1 c when three letters picked without replacement from {p: 1, m: 1, c: 13, u: 2}?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 5*q - 16 - 126 = 0, -3*k = -3*q + 105. Let j = 0 - k. Calculate the remainder when 123 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187) - 3*sqrt(187))*-4 - sqrt(187) - sqrt(187))\/(sqrt(99)\/sqrt(9)*4).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2*q**4\/7 + 152*q**3\/7 - 180*q**2 + 3672*q\/7 - 3618\/7 = 0?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2*d)*(438*d**3 - 2311*d**3 - 8833*d**3 + 378*d**3).\nAnswer: -20656*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 5 = -3. Solve 2*g + 0*g + s = 0, r - 8 = 3*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1425840 divided by -6.\nAnswer: 237640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + -12. Let c be 1 - ((-11781)\/w + -4). Let g = -778 - c. What is the smallest value in -4, g, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.43, 0, 0.2, 9, 323?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60775328*m + 60775304*m - 121550631*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.6 + 1.5. What is the closest to b in -1, 5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6483, 15087, 25813, 38661?\n\"Answer: 1061*t**2 + 5421*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -4*y**5 + 296*y**4 + 4700*y**3 + 19920*y**2 + 13104*y - 38016 = 0.\nAnswer: -6, -3, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6956167 millimeters to kilometers.\nAnswer: 0.0000006956167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of f**5\/30 - 21*f**2. Let j(l) be the first derivative of 4*l**3\/3 - 1. What is j(i(k))?\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 61*c**2 - 1258*c**2 + 280*c**2 + (-5 - 1 + 4)*(c**2 + 0*c**2 + 0*c**2).\nAnswer: -1041*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 1 = 7. Suppose -6 = -a*r, -21 = -3*t + 4*r - 87. Let p be 3\/(-8)*6\/t. Are p and 2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -752 = -17*c + 268. Suppose 2*i + 4*k = -98, 3*i = -i - k - 161. Let p = i + 55. Calculate the remainder when c is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 124*o + 909 + 703 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 5 = -10. Suppose -q - 5 = 0, -5*t = -3*t + 4*q + 14. Solve -u + x = t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -g + 5*x - 92, -5*g + 149 = 4*x. Suppose -5*m = -9*m + 812. What is the highest common divisor of g and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-726)\/102 + 6 + (-1 - -2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 5*o**3 + 7*o**4 - 3 + 2 - 100162*o + 100187*o to z*o**2 + k*o + u*o**4 + d + c*o**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -18972 divided by -62?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 238 and 3349?\nAnswer: 46886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 635420, 1270832, 1906244?\nAnswer: 2541656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i - 6. Let b be f(-5). Let u(w) = 2*w**2 - 2. Let y(k) = 169. Let j(r) = -704. Let o(c) = -6*j(c) - 25*y(c). What is b*u(p) + 2*o(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 + 4*f**2 - 2*f + 1. Let c be b(3). Let p(a) = -a**3 + 4*a**2 + 3*a - 4. Let q be p(c). Do q and 8 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 13*m**2 - 23*m + 16. Let q be n(11). What are the prime factors of (q + 43\/2)*8?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w**4 + 4766*w**3 + 569396*w**2 + 13151656*w + 85561056 = 0. What is w?\nAnswer: -4644, -94, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17288737 is divided by 1998?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -206786, -208122, -209458?\n\"Answer: -1336*d - 205450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 6*a**2 + 12*a. Let r(u) = -155*u. Determine r(v(x)).\nAnswer: -930*x**2 - 1860*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -218\/325 or -8.5?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of 0*f + 0 - 2\/75*f**5 + 1\/30*f**4 + 4\/15*f**3 - 1\/150*f**6 - 5*f**2. Determine c, given that p(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -986 and 308105.\nAnswer: -303791530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-5) - (-5)\/25. Let z(p) be the first derivative of -4\/3*p**3 + 0*p - h + 11\/4*p**4 - 2*p**2 - 3\/2*p**6 + 6\/5*p**5. Solve z(r) = 0 for r.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 151708296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2655722 to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 18349 divided by -358\nAnswer: -18349\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -164 and -5?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005366369 to five dps.\nAnswer: -0.00537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -338 = -4*c - 362 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -5*c + 32. Suppose 20 = c*t - t. Suppose -t*k = -0*k - 110. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*u**4 + 2*u**4 - 7*u**4 + (-5*u + 3*u + 3*u)*(-4*u**3 + 0*u**3 + 2*u**3).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -z - 7 - 1, -2*z = -8. Let w be (-4)\/(8\/o) + 2. Solve -5*m = w, -28 = -5*s - m - 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 298*v = 10180 + 5614 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(4\/7)\/l)\/(l**(-8)\/l*l)*l**(-24)*(l**21\/l)\/l)**29 assuming l is positive.\nAnswer: l**(522\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 531 (base 7) to base 14\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (((-51)\/(4998\/70))\/(-15))\/(1\/(-9))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 259 is divided by 133?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = u + 174. Suppose 0 = 2*f + 2*i - 354, 4*f - 735 = 4*i + i. Suppose -10*r = -r - f. What is the remainder when u is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 1)*(-5 - 3 + 5)*(-5*p + p + 3*p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-6) - 10\/4. What is the lowest common multiple of ((-1)\/2)\/(r\/48) and 5*-2*24\/(-30)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4977 by -5.\nAnswer: -4977\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**3 - 720963*k**2 - 19 - k + 721021*k**2 + 4 as o*k**2 + t*k**3 + x + z*k and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -11, -5, 1, 7?\n\"Answer: 6*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4946520 divided by -6?\nAnswer: 824420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*o = -4 - 3, -o + 9 = 5*y. Let a = y + 60. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {e: 9, s: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of o**6\/3 + 139*o**5\/5 + 5*o**3\/3 - 29*o**2\/2 - 5. What is the third derivative of d(g) wrt g?\nAnswer: 120*g**2 + 3336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 - d + 1. Let s(k) = -k - 4. Let r be s(0). Let v be (-6)\/r - 7\/(-14). Determine b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nhvhhhnv. What is prob of sequence hn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/7, 9, -38, -2, -2.8, 2\/577.\nAnswer: -38, -2.8, -2, 2\/577, 4\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*b*d*g**3 + 3837*b*d*g - 31*b*g**3*m**2 + 9*b*g**3*m - b + 7*d*g*m**2 + 5*m wrt d?\nAnswer: 4*b*g**3 + 3837*b*g + 7*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(1\/2)\/q**(-7)*(q*q**0)**(12\/5)*((q**2\/q)\/(q**0\/q))\/(q**(-4)*q**(3\/4)) assuming q is positive.\nAnswer: q**(303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-6) + (-3)\/(-9). Suppose t + 5*m = 1, -4*t - t - 3*m + 5 = d. Let a(b) = 540000*b**3 - b**2 + 2*b - 1. Let h be a(t). Round h to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 205, 0.5, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -363*v**2\/2 - 33*v - 3\/2.\nAnswer: -3*(11*v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3341526413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 - q - 1. Let i(y) = 5*y**2 + 2*y + 2. Let b(w) = -2*g(w) - i(w). Let a(j) = -3*j. Calculate a(b(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 5*w + 15, -3*u + 0*w - 2*w - 15 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (11 - (3 + 9))*0. Let u(t) be the first derivative of -3\/2*t**4 + 0*t**3 + d*t**2 - 11 - 13*t. What is the derivative of u(r) wrt r?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29936 + 47938 + 97915 - 2*g.\nAnswer: -2*g + 115917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 53625\/20625*20\/(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 58562914499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-148)\/999*45\/(-20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*q - 8*q - 6*q + 8*q**3 - 6*q.\nAnswer: 8*q**3 - 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 318, 641, 964, 1287, 1610, 1933?\nAnswer: 2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 1 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -610114 - -40?\nAnswer: -610044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 290597 divided by 1\nAnswer: 290597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**5 + 0 + 0 + (j + 2*j - 2*j)*(4*j**4 + j**4 + j**4) + (0*j**2 + j**2 + j**2)*(-2*j**3 - 3*j**3 + 6*j**3) + 4*j**5 + 0*j**2 + 0*j**2.\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24 - 22. Solve -c*u + 3*u + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2208 divided by -552.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0.5, -1, -4, 3330?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 - 5*y + 2. Let v be d(5). Let t(u) be the first derivative of 3\/2*u**4 - 1 - 2\/3*u**3 + 0*u - v*u**2. Determine a, given that t(a) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**1)**41)**(-3)\/((x**(-1\/3))**49*x**(1\/6)\/(x**(1\/5)*x)) assuming x is positive.\nAnswer: x**(521\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 617*f**2 - 221*f + 2. Let i(n) = 2*n**2. Determine t(i(v)).\nAnswer: 2468*v**4 - 442*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of 0*v**5 + 5*v**2 - 1\/15*v**6 + 0*v**3 - 9*v + 0*v**4 + 0. Find the first derivative of i(z) wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 14. Let t = 10 + n. Let w = 1 + t. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.3835603 less than 44096?\nAnswer: 44085.6164397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -122, -293, -532, -851, -1262?\n\"Answer: -2*w**3 - 22*w**2 - 91*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1056599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*c - 88 = -c. Suppose 0 = 3*r + i - 229, 3*r - r = c*i + 148. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170 = -m + 64*b - 58*b, 0 = 4*m + 2*b - 74 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4, h: 4, l: 1, c: 1}. What is prob of picking 2 h and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from okkkookk. What is prob of sequence kkko?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 232236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 + 6*a**2 + 8*a - 2. Let m be f(7). Suppose -4*p - 3*i = -123, 125 = 5*p - p + m*i. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/615101778 and -7\/8.\nAnswer: 2460407112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2663027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6.995 + 7.495. What is the fourth smallest value in 41, u, 15, 1?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -18*f - 8*f - 42 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1166\/(-38584)*26*-4.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 c when three letters picked without replacement from crdrxccxrdr?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 6151847306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**1*r))**(-5\/3)*r*r**(-2\/11)*r*r*r*r**(-3\/5)*r assuming r is positive.\nAnswer: r**(971\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 62776 and 16107?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 8*p + 5. Let l be (p + -3)*(1 - 2). Suppose -4*q = 2*z - 10, 2*q = 2*z - 0*z - 10. Solve z*y - l*y = -3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 3*u + 1. Let y(t) = 2 + 20*t**2 - 26 - 6*t**2 - 51*t + 37*t. Let z(m) = 2*d(m) - y(m). Let k(h) = -5*h**2 + 7*h + 9. What is 17*k(a) - 6*z(a)?\nAnswer: -a**2 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15, -31, -65, -141, -283, -515, -861?\nAnswer: -1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 9) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23 - 22. Which is the smallest value?  (a) h  (b) -0.4  (c) -1  (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -162, -306, -450?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 7, p: 4}. Give prob of sequence sppp.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 0*v**4 - 9 + 2*v**4)*(-74*v - 331 + 331).\nAnswer: -148*v**5 + 1628*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -10, -9, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 1 = -5. Suppose x + 2*i - 4 = -9, -x + 2*i = 5. Which is the third biggest value?  (a) t  (b) 2\/5  (c) x  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/20)\/(8\/5)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -58.74 plus -4042420?\nAnswer: -4042478.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(-b + 2*b + 4*b) - b - 2*b + 4*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16324*z**2 - 5550*z**2 - 5449*z**2 - 5325*z**2 + 10*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llllllollllllllllll. Give prob of picking 3 l.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 9  (b) 952  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3264 (base 9) to base 16\nAnswer: -967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 37*z**2 + 5*z - 7. Let y(d) = 55*d**2 + 7*d - 10. Suppose 3*a = -3*i + 3, 4*i + 16 = 4*a - 36. What is a*g(f) - 5*y(f)?\nAnswer: -16*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 - -32. Suppose -5*x + x + r = -5*n, -2*n - 8 = -2*x. Are 0 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 78 - 80. Put 0, 5, y, 1 in descending order.\nAnswer: 5, 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3512 = 131*n - 267*n + 160 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.205 + -0.305. Let f = 4.992 + 0.108. Let r = f + m. Sort -5, 4, r in increasing order.\nAnswer: -5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r**3\/7 - 60*r**2\/7 + 839*r\/7 + 900\/7 = 0. What is r?\nAnswer: -1, 25, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -55 - -37. Let i = 163\/9 + v. Sort -7, 5, i.\nAnswer: -7, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41 - -40.68. Let v = b - 3.68. Let o = 1.1 - v. What is o rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 4065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 211517373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k - 5. Let s be (24\/(-9))\/(2\/3) + -270. Let c = s - -279. Let w(r) = 2*r - 8. Give c*w(j) - 8*m(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 77667891 to the nearest integer?\nAnswer: 8813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in seventy-five halves of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7.6 + 7.506. Let v = c + 0.046. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 395028 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) -0.3  (c) 2  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (24\/9)\/((-4)\/(-6)). Suppose -f + m + 13 = q*f, -3*m - 3 = 3*f. Let -3*g**2 + 2*g**3 - f*g**2 + 3*g**2 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 312 + -1111123?\nAnswer: -1110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a millisecond in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 3*q**2 + q**3 - q**2 + 3 + 0*q - 5*q + 0*q. Suppose -5*s + 3 = -2, 3*b = 5*s - 11. Let i = 3 - b. Give j(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/1343232 and 23\/20988.\nAnswer: 1343232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*q + 24. Let g(z) = z**2 + 6*z - 13. Is g(q) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21023791.\nAnswer: 21023791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -6035 + 8.4\nAnswer: -6026.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 + l. Let j be v(0). Suppose j = 2*i + 2*i - 20. What are the prime factors of (-54)\/15*i\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 10*u**5\/23 - 1504*u**4\/23 - 2430*u**3\/23 - 308*u**2\/23 + 608*u\/23 = 0. What is u?\nAnswer: -1, 0, 2\/5, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 8 + 16 + 17*t + 21*t**3 - 20*t**3 + 17*t**2. Calculate the lowest common multiple of 8 and z(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, -5.8, -3, 1, -1.35, 1.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 8020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/12 and 2384\/(-96) - 12\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1191647 - -339?\nAnswer: 1191986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 80 = 3*f. Let q = f - 6. Solve 2*l + 4*r - 10 = q, 4*l + r - 19 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -4886*a**3 + a**2 - 4*a - 3. Let p be k(-3). Let v(w) = 7221*w**2 + 2*w - 4. Let l be v(-6). Let r = l - p. Round r to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 27, 5, 30 in descending order.\nAnswer: 30, 27, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82978.21ml to litres.\nAnswer: 82.97821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1238.1 - -0.00985\nAnswer: 1238.10985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 88 = 2*i. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1328976551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010101001100110111100 - 101?\nAnswer: -10010101001100111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**4 - m**4 + 3*m**4 + (-7*m + 9*m - 7*m**2 + 526 - 536)*(-2 + m**2 + 2).\nAnswer: -6*m**4 + 2*m**3 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from ehccz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 192*t - 201*t - 174 = -5*y, y = -2*t + 12. Let n be -1 - 0 - (-466)\/2. What is the highest common divisor of n and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -50 + 42 + 0 + 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222 is divided by (-98 - 1)*(-11)\/(330\/20).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(640) + sqrt(640)*-1*2 - (sqrt(640) - 2*sqrt(640)*-2))\/(5*sqrt(162)*1 + 1*sqrt(162)*-6).\nAnswer: 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**2 + 2*s + 1. Let x(v) = -7*v**2 - 508*v - 2. Let t(r) = 2*c(r) + x(r). Suppose t(d) = 0. Calculate d.\nAnswer: -168, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 3*h - 116 = 0, 3*d + h = 6*h + 56. What is the smallest common multiple of d and 4\/5*(69 - -11)?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 21 - 15)*((2*h + 2 - 2)*(h - 5*h + 2*h) - 2*h**2 - 2 + 2) + (-2*h + 2*h + 4*h)*(h + 8*h - 4*h) as p*h + a + z*h**2 and give z.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5\/15)\/(1\/12). Suppose -19*h + 17 = 5*f - 16*h, 6 = 2*f + 2*h. Solve a - 3*d = 5*a - 17, -c*d = f*a - 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1364?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.689893 rounded to one dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/1756694 and 31\/4.\nAnswer: 3513388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 993511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, -1\/4, 0, -2\/23, 106 in increasing order.\nAnswer: -1\/4, -2\/23, 0, 1\/7, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 401398*v**3 - 133788*v**3 - 133783*v**3 - 133826*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32411833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -186*x + 185*x = -2*m, -12*m + 5*x = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -86.6 - -90.6. What is the nearest to -1 in c, -3, 3\/25?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -12 + 252. Let p = 3894 - 3889. What is the greatest common divisor of p and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + ((-7)\/(-9) - 12\/(-54)). Let s(p) = -183 + 207 + 0*p - r*p. Let x be s(12). Which is smaller: x or -1\/205?\nAnswer: -1\/205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b + 13. Let r be m(11). Let x = -25 - r. Find the common denominator of 85\/2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -723282*f + 1456127 wrt f.\nAnswer: -723282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 388867 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 412*-300\nAnswer: -123600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of -l**7\/168 + l**6\/120 + l**5\/40 - l**4\/24 - l**3\/24 + l**2\/8 - 13*l. Factor q(m).\nAnswer: -(m - 1)**3*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1 and 0.0318.\nAnswer: -0.9682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2718439.\nAnswer: 23, 181, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 145575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3378 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.625 to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -117*k**5 + 1190*k**4 - 1547*k**2 - 36*k wrt k?\nAnswer: -7020*k**2 + 28560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 14*v**3 + 368*v**2 + 454*v + 100 = 0.\nAnswer: -25, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 238.68 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2 - 5640040*o - 1988128200100.\nAnswer: -4*(o + 705005)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3580101 - -64665833\/18. Let p = -12440 + w. Calculate the common denominator of p and -9\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 5*g = 2*g - 6, -g = 5*d - 6. Find the third derivative of -4*z**2 + z**6 + 11*z**d - 5*z**6 wrt z.\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 89 = 4*d. Let z = d - 18. Let m = -13 + 8. Sort z, -2, m in descending order.\nAnswer: z, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/(-5)*(6\/(-16)*-4)\/27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -13*m**2 - 6*m. Let c(p) = -14*p**2 - 6*p + 12. Let i(n) = -26*n**2 - 11*n + 22. Let o(q) = 11*c(q) - 6*i(q). Determine a(o(b)).\nAnswer: -52*b**4 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 225 and (-130 - 45)*(-5 + 2)?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46016*f**2 + 92369*f**2 - 45923*f**2.\nAnswer: 430*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 5:09 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -364398, -728797, -1093186, -1457559, -1821910, -2186233, -2550522, -2914771?\n\"Answer: z**3 - z**2 - 364403*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 107032 divided by -29?\nAnswer: -107032\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -12.1, 2, 1.7 in decreasing order.\nAnswer: 2, 1.7, -12.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26\/79 - 1577\/6952. Let l = 3601\/792 - j. Let p = 43771\/10 - 4372. Find the common denominator of l and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14918433*h**5*t**3 - 4*h*t**3 - h*t - 1208525 wrt h.\nAnswer: 298368660*h**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -529020 divided by -30\nAnswer: 17634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + x - 26 = 0. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 2:11 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6a - 92?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -1) + 362 + -346 - -11.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -31021 (base 5) in base 4?\nAnswer: -133123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 782.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 - 7*x**2 - 5*x + 7. Let m = 18 - 24. Let y be s(m). Let q be 4\/(-6) + -3 + 28\/8. Which is greater: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 681*z = -16551 - 3879 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -2, 0, 0.4, 48\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 636 is divided by 232?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 + 18 + 25 - 56 + 22*z**3.\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -a - 8. What is the units digit of (-33)\/a - (-3)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-160)\/14)\/((-43587)\/7014 - (-13)\/2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 7:34 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 + 7*h**2 - 2*h + 6. Let f be k(7). Let y be 4 - 88 - f\/2. Let d = y - -115. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 2223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 7*a = -20. Suppose 5*o + 0 = -a. Let g(z) = -2*z + 1. Let b be g(o). Calculate the highest common factor of b and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 * -156\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*3*(-1 + sqrt(7))**2 - sqrt(35)\/sqrt(405).\nAnswer: -325*sqrt(7)\/9 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y - 6. Let o(j) = j**3 + 2*j**2 - 3*j + 2. Let q be o(-3). Suppose q*i - 9 = 3*i + c, 2*c + 14 = -i. Determine a(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 + 1)*(30 + -32). Let z be d\/(48\/(-2492)) + 8\/6. What are the prime factors of 11*4*z\/44?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 - 7*x + 4. Let q be r(-7). Suppose 3*k - 8 = -q*a, 0*a - 4*a + 40 = -5*k. Solve -2*p - 23 = 5*f, 0*p = a*f - 3*p + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fbeefcfcerf. Give prob of picking 1 e and 1 c.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -826*r + 176*r = -259*r + 22287 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 7*a**2 - 5*a + 6. Let h be q(-6). Suppose h*u - 5*u = 5. What is the closest to -2 in 1\/7, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2\/3, 2, -2 in decreasing order.\nAnswer: 4, 2, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 228*s + 48. Let x(r) = 24*r + 5. What is -48*x(m) + 5*y(m)?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14*u - 5*u - 2*u)*(-2*u + u + 3*u + (-2 + 5 - 2)*(2*u + 2 - 2) + u - 2*u + 4*u) in the form j*u**2 + f*u + w and give j.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 108138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -88 + 967924\nAnswer: 967836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 44*n**2 - 35*n - 455. Let w be p(45). Let i = -48 - -434\/9. Sort w, 2\/259, i in descending order.\nAnswer: i, 2\/259, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -2. Let c be (1\/2)\/((-4)\/(-8)). What is the smallest value in 0, k, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32274659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 0 + 4\/3*j**4 + 14\/3*j**3 + 0*j + 2*j**2 = 0.\nAnswer: -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -3*k - 2*k. Suppose -9*h + 10*h - 205 = k. Let i = 382 - h. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -541 - -503 - (-2 + -17).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 79 minutes before 9:44 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let o = -27 + 44. Suppose -39 = -4*d + o. Factor -20*b + 20 - 4*b**2 - b**2 - 9*b**3 + d*b**3.\nAnswer: 5*(b - 2)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 4*n**5 - 298*n**4 - 5880*n**3 + 99814*n**2 - 48400*n = 0?\nAnswer: -25, 0, 1\/2, 11, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 955\/382*(-66)\/30.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i**(-34)\/i)))**(-5)*(i*i**(8\/13))\/(i*i*(i*i\/(i*(i*i**(-16))\/i))\/i) assuming i is positive.\nAnswer: i**(2062\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(11\/2)*q)\/q**8)\/(q*q**(-1\/24)*q\/(q*(q**(2\/17)*q*q)\/q*q)) assuming q is positive.\nAnswer: q**(269\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.25 from -0.0030847.\nAnswer: -0.2530847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 491 (base 14) to base 2\nAnswer: 1110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 1. Let h = 32\/5 - 6. Which is the nearest to 1?  (a) -1\/11  (b) h  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/1008 and -199\/312480.\nAnswer: 312480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 plus 1.258?\nAnswer: 104.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-95))\/(5\/25). Let s = 2.2 - 13.2. Let h = s + 8. Sort h, 1\/5, x in ascending order.\nAnswer: h, x, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*a**5\/4 - 4419*a**4\/4 + 1589325*a**3\/4 + 27948867*a**2\/4 + 33229980*a + 26641200 = 0. What is a?\nAnswer: -8, -1, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-3 - -3)\/7)\/(-2))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16867*b**2*x + b*x + 9298*x wrt b.\nAnswer: -33734*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from asajfkrs. Give prob of sequence sk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16363 is divided by 16357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 4*s - 14 + 20 - 2*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -x**6\/5 + 3*x**5\/5 - 3*x**4\/4 + x**3\/2 + 5*x**2 + 8. Let s(w) be the second derivative of m(w). Let s(i) = 0. Calculate i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47 - 43. Suppose g + 60 = 5*z - 0*z, 0 = -4*z - p*g + 72. Suppose -7*a = -36 - z. Solve 3*n + 5*k - 10 = a*n, -4*n + k - 18 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 3*j = h + 10, -13 = j + 2*h. Let t(b) = b**2 + 5*b - 10. Let v be t(j). Suppose -v*p = -8 - 0. Solve 5*f - 7 = 2*m, -m = -0*f - f + p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 35\/(-14)*(1\/10)\/(-1). What is the closest to 0.2 in -2, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that o**2 - 88*o + 1936 = 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(35)\/sqrt(5) + 5 + (-4*(-2 + sqrt(112) + sqrt(112)))**2.\nAnswer: -511*sqrt(7) + 7237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-41)\/13 - -3) + (-340)\/(-13). Let n = x + -24. Let d(a) = 2*a**2 - 5*a + 3. Let m be d(n). Solve 4 = -i - m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 5*n + 6 = 4*n + 2*n - 3*j, -71*n + 25*j = -74*n - 82 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + -2202?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**4 + 29056*n**3 - 5594676*n**2 - 11276536*n - 5652800 = 0. Calculate n.\nAnswer: -1, 200, 7066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*c - 8*c + 444. Suppose 5*t = 3*x + 41, 3*x + 0*t - 2*t = -47. Let q = x - c. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6327995*n**2 + 4813413.\nAnswer: 12655990*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = -2*v + 4, 4*z - 19 = -3*v - 13 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9 plus 335.31?\nAnswer: 336.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, o: 4, j: 1}. What is prob of picking 1 j and 2 o?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 178672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - y**2 + 8*y - 13. Let i be t(14). Suppose 5465 = 26*j - i. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 818 and 0.5.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-40)*-2)\/(9\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7165390347 to the power of 1\/6, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -24476, 2\/11, 0.5, -3\/5?\nAnswer: -24476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9757332 and 2860?\nAnswer: 536653260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 5. What is the nearest to 2\/3 in -5, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11\/1306 - -5191\/3918. What is a in 26\/9*a**3 + 8\/9*a + 2\/9*a**5 - z*a**4 + 0 - 8\/3*a**2 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/225*18)\/(2\/(-10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*d*s**2*u - 24*d*s*u**3 + 241*d*s*u**2 + 4*d*u**3 - 191561*s**2*u**3 wrt s.\nAnswer: 14*d*u - 383122*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 9, x: 11}. Give prob of picking 4 x.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2971\/1515 or -1?\nAnswer: 2971\/1515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23614 = 39*y - 12656. What is the highest common factor of y and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/209 - 404\/1463. Let w be ((-2)\/10)\/(3\/(-5)). Put w, -6, t in descending order.\nAnswer: w, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p**4 + 3*p**4 + p**4)*(-p + 1 - 1) + (2*p**3 - 2*p + 2*p)*(545*p - 545*p - 12*p**2).\nAnswer: -25*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10.1 + 1.1. Let y = k + 7. Let b = -59 + 237\/4. What is the closest to -0.1 in b, 2\/11, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 3*p - 27. Let v be x(10). Let f = v - -7. Calculate the remainder when 17 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2697)\/116)\/93)\/(-2*(-278)\/(-32)).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 864 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)\/(sqrt(7) + (sqrt(84)\/sqrt(4))\/sqrt(3)) + (sqrt(325) + 0 + sqrt(325) + 4 - sqrt(325)) + -5)**2.\nAnswer: -11*sqrt(13) + 1577\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/(-30) - (-1)\/(-5). Solve 3*y - 6 = 3*x, 3*x + 2*y + 2*y + 27 = u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4583766 by 6.\nAnswer: 763961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00006895476 rounded to 7 dps?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.3  (b) -1\/66511  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 17, 22, -1, -2, -14, 6 in increasing order.\nAnswer: -14, -2, -1, 2, 6, 17, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 3*f = -5, 4*h + 12 = -4*f - 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 b, and 1 x when three letters picked without replacement from xcbbxbbxbxbbc?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -36, -78, -116, -144, -156, -146?\n\"Answer: a**3 - 4*a**2 - 37*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {g: 3, n: 5, j: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(0 + 1 - 2). Suppose -4*h - 5*a + 9465 = c, -3*h - 2*a + 1065 = -6032. Is 8 a factor of h\/(-22)*(-8)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, q: 3, v: 1, t: 5}. What is prob of picking 1 t and 2 q?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.05183 * -1323.\nAnswer: 68.57109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 145860\/31, -0.1, 1\/9.\nAnswer: -0.1, 1\/9, 145860\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 6*v**3 - 13*v**2 - 6. Let r(z) = 5*z**3 - 21*z**2 - 5. Give 2*n(x) - 3*r(x).\nAnswer: -3*x**3 + 37*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -381015 (base 12) in base 10?\nAnswer: -914129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - eea?\nAnswer: -ee6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = c - 12*a + 13*a, 5*c + 3*a - 177 = 0. Suppose -30*i - 24 = -c*i. Solve -i = z - 9*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5842736 >= -5842737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 564\/11, -3\/2, 0.3 in increasing order.\nAnswer: -3\/2, 0.3, 564\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11398*f**2 + 11395*f**2 + 43 + 37 + 30 - 110.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 5934864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 14224c14 - -2?\nAnswer: 14224c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*c + 3*c - 3*c - 2*c + 1 - 1 + (2*c + 0*c + 0*c)*(-1 - 2 + 1) - 3 + c + 3 + 4*c + 4*c - 4*c)*(-11 + 4 + 3*c + 0*c) to y*c**2 + n + l*c and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -778, -3.5, 5 in decreasing order.\nAnswer: 5, -3.5, -778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by 1231\nAnswer: -6\/1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 831 and 95426223?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i\/((i\/i**(-3\/5)*i)\/i)))*i**(-13)\/i)**(-3) assuming i is positive.\nAnswer: i**(219\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16069 is divided by 788.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1541, -3090, -4641, -6188, -7725?\nAnswer: -9246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 46 = -3*q, -3*q + 3*n + 37 = 7. Solve 17 = -4*k + 3*h - 7, 3*h = q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + 8*f + 1. Let y be v(-3). Let h be 21\/3 - y\/12*-3. Solve 3*o + 4*k + 25 = 0, k - h = 3*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/45*66\/44)\/((-10)\/150*-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -41*b**2 - 4*b - 10. Let t(s) = 8*s**2 + 1. Let o(u) = -c(u) - 5*t(u). Give o(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 12\/515 and -56\/1179453.\nAnswer: 5897265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - -16 - 3) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 AM and 11:06 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 + d + 0*d**2 + 2*d**2 + 3. Let h be -1*((-1 - -2) + -4). What is the units digit of m(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -128782*s**2 - 37*s + 868?\nAnswer: -257564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gpl when three letters picked without replacement from vppgllppv?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 41.3 - 4.3. Let x = -0.005 + -40.995. Let q = f + x. Which is the closest to -1?  (a) 4  (b) q  (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -565.3904 to the nearest ten.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4\/14007 + -881765\/2367183. Let u = 6242\/4563 - a. Calculate the common denominator of u and 37\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (d + 1 - 1)*(33 - 8 - 2)*(-5 + 4 + 2) to u + g*d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 62 - -50. What is the highest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 275412570 and 12?\nAnswer: 550825140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q**4\/3 - 13510*q**3\/3 + 3046495*q**2 - 6061500*q - 9112500 = 0. What is q?\nAnswer: -1, 3, 1350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 17*y - 578531. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 482 divide 171110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 36*m - 159*m + m**2 + 123*m. Let a(y) = 50*y. Calculate a(o(n)).\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 3 = u, 2*j + 2*j - 16 = 0. Suppose 0 = -x + 2*k - u, -x + 16 + 1 = 4*k. Let h = 7 - x. Put h, -3, -2\/9 in increasing order.\nAnswer: -3, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -7596349?\nAnswer: -2\/7596349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*v - 20 = -6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.394 + 80.594. Let f = o + -75.47. Let s = f - -0.27. Which is the second biggest value?  (a) -0.2  (b) s  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 9 = d, -10*d + i + 3 = -5*d. Sort 1, d, 3, -4.\nAnswer: -4, d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/4  (b) 4  (c) -0.08  (d) 4\/9  (e) 179  (f) -1.1  (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange c - 1720 + 3755 - 1642 to z + y*c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 - s - 2. Let k be y(2). Solve k = -5*a + 2 - 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 4*i = -10, -23 = 2*z + 5*i + 1. Let r = 259 + -263. Sort z, 1, 2, r in increasing order.\nAnswer: r, z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**3 - 6*a**2 - 8*a + 1. Let o = 3 + 4. Let i be n(o). Sort -1, -2, i in increasing order.\nAnswer: i, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, o: 3, q: 1}. Give prob of picking 1 q and 1 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*r + 17*r + 2*r**4 - 3 + 2*r + 44*r - 17*r in the form y*r**2 + t*r + h*r**4 + s*r**3 + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (440\/132)\/((-2)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45654, 45655, 45656, 45657?\nAnswer: 45658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0197 less than 461523977367?\nAnswer: 461523977366.9803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y**3 - 7970248*y**2 + 7970244*y = 0. Calculate y.\nAnswer: 0, 1, 1992561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3*x + 1. Suppose -3*j + 14 = i, -i - 16 = -2*i - 5*j. Suppose -16 = 7*m - i*m. Determine u(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/2)*t)\/t*t\/(t**(-6)*t))**14 assuming t is positive.\nAnswer: t**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5208 and 1767?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51896 is divided by 25501?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, -329749, -1 in increasing order.\nAnswer: -329749, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 10 = -10*l + 3*f, 20 = 3*l + f. Suppose -5*w - l*v + 5 = 0, 0 = -4*v - 3 - 5. Which is bigger: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of -i**4\/2 - 11*i**3\/3 - 9*i**2 - 15*i + 10. What is the tens digit of y(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1516*u**4 + 471*u**3 + 2*u**2 - 63252631.\nAnswer: 6064*u**3 + 1413*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*f = -17 - 782. Is -50 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 33*x**6 - 3*x**4 - 236*x**3 + 153*x**2 + 44*x wrt x.\nAnswer: 3960*x**3 - 72*x - 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 463872?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1372 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.456 + 6.5. What is h rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -375.5 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 72 = 9*h - 2*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 7. Factor -4*k - 3*k**2 - k + 4 + 4*k - k**4 - 4*k**b + 5*k.\nAnswer: -(k - 1)*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)\/(sqrt(108) - sqrt(108)*-1))\/((sqrt(108)*2 + sqrt(108))*-6).\nAnswer: -sqrt(17)\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 306891743 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 1, 4, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -120.29 rounded to zero decimal places?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 67888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of 1 - 3\/2*d**2 + 0*d. Let r(s) = -s**2. What is f(r(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-5 + (sqrt(468)*-1)**2) - (sqrt(13) - (sqrt(208) + 1*sqrt(208)) - sqrt(65)\/(sqrt(10)\/sqrt(2))).\nAnswer: 8*sqrt(13) + 1852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32 - 24. Suppose -b + 1 = -0*b. What is the smallest common multiple of f and (22\/(-8))\/(b\/(-8))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14652.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101010101101100101 (base 2) to base 3.\nAnswer: 211012120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3389, -13744, -31061, -55340?\nAnswer: -86581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Is (6\/(-8) + 0)\/((-66)\/1277672) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*u*w**4 - 30*u*w**2 + 1156*u*w + 86701*u with respect to w.\nAnswer: -20*u*w**3 - 60*u*w + 1156*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 115165346 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4\/195 and -13\/15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03861232314 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8189 divided by -11534.\nAnswer: -8189\/11534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2776 and -0.3.\nAnswer: 832.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 13\/26*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/146 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 7:08 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pppa when four letters picked without replacement from {p: 3, a: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 3*l = 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 + 15*f**2 - 4*f + 6. Let p be l(6). Find the third derivative of 342*s**4 + 15*s**2 + 19*s**2 - 8*s**2 - p*s**4 wrt s.\nAnswer: 864*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003335959 rounded to 6 dps?\nAnswer: -0.000334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -2*h - 6, 2*z - 5*h + 2*h + 2 = 0. Factor 16\/13 + 14\/13*y**3 + 36\/13*y**z + 2\/13*y**4 + 40\/13*y.\nAnswer: 2*(y + 1)*(y + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = 3*h + 5*a, -11 = 4*h + 3*a - 27 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.06 * -0.1\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 240294257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-37)\/((-296)\/(-21))*(-8)\/660*10?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 835 divide 773275067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/9 + 134*m\/3 + 23312\/9.\nAnswer: -2*(m - 248)*(m + 47)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 7*u - 110 = 3*u, -66 = -3*i + 2*u. What is the greatest common divisor of 88 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 2.4\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 57675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3748603 + 614773663\/164. Let f = -35\/41 - z. Let a = 18 + f. Are -1 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + o**2 + o + 1. Let i(x) = -306*x**3 + 30*x**2 + 30*x + 30. Give 60*c(w) - 2*i(w).\nAnswer: 552*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20392666515321 + -20392567405043.000022. Let d = -99110188 + o. Let a = 90 - d. What is a rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4 - 1742*h**3 - 3491*h**2 + 5232*h.\nAnswer: h*(h - 1744)*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 49528956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 67891.708 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 k when three letters picked without replacement from {w: 1, x: 3, p: 2, k: 4, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9100597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 4*n = 68, 2*r + 2*n - 20 = -0*n. Suppose -4*p = 4*t - 2*t - 28, 3*t = r. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -5316, -20916, -46808, -82992?\n\"Answer: -5146*q**2 - 162*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48 (base 14) to base 7.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 2\/3*q**3 - 6*q**2 + 50\/3 + 10*q = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/4 - (-299)\/(-46))*63\/(-2142).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*r - 16*r + 56 = -6*y + 3*y - 25, -5*y + 105 = 5*r for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-300)\/(-30) + 24\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269445 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 91 = 12*f. Calculate the remainder when 24 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (k + 0 + 0)*(8 + 4 - 2)*(0 + 0 + 1) as u*k + l and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 1:43 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 8866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2501?\nAnswer: 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 221011 + 10?\nAnswer: 221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 2*j**5\/9 + 2*j**4\/9 - 7090*j**3\/9 + 145406*j**2\/9 + 528080*j\/9 - 666400\/9 = 0.\nAnswer: -68, -4, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rzr when three letters picked without replacement from {z: 1, r: 2, x: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -87495000 to the nearest 1000000.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -126666 divided by -186?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g = 24*g - 90 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.6671534 * -0.5.\nAnswer: 0.8335767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71767749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 + 2*p**2 - 14*p + 3. Let r be 120\/18 + 4\/(-6). Let b(v) = 4*v - 8. Calculate the smallest common multiple of b(r) and h(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -6*z**2 - 2*z. Let v(n) be the second derivative of -7*n**4\/12 - n**3\/3 + 6*n. Let m = 7 + -2. Determine m*v(w) - 6*a(w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2402011042 (base 5) to base 6.\nAnswer: 313522312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of -254*u**6\/3 + u**4\/12 - 1504*u**3\/3 + 777*u. Find the third derivative of y(j) wrt j.\nAnswer: -60960*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -453412, -1813642, -4080690, -7254556, -11335240?\nAnswer: -16322742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 48576040*u**2 + 190674029 with respect to u.\nAnswer: 97152080*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.394141ml in litres?\nAnswer: 0.005394141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39192865 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2153*w = 2007*w - 6132 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01451828 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {e: 1, f: 1, l: 1, x: 5, y: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2298820 is divided by 5868?\nAnswer: 4432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 7*v**2 - v + 5. Let d be s(-7). Let u = -12 + d. Solve 0 = -2*a + 5*f - 10, -3*a = -u*f + 3*f - 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 0*x - 22 = 0. Let l = x + -11. Suppose -4*o - 5*g - 10 = -o, -2*g - 10 = l. Solve 1 - 26 = -o*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2*p**3 + 11*p**2 + 8*p + 24. Let q be g(-5). What is the units digit of (q\/(-36))\/(((-3)\/(-284))\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 117?  (a) 1  (b) 18  (c) -0.2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*h + 45 + 0 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/(-5))\/(30\/100). Solve x*b - 6 = k, 4 - 9 = 3*b + 2*k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32 - (21 + (-20610)\/390)) + (1 - 14\/78)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 8 = -9*h + 8*h, 5*i = 2*h - 16. Let r(x) = 9 - 24 - 2*x + 1 + h - x. Suppose -o - 1 = -3*w, 3*o - 2*w + 6 = o. Give r(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 + 0*r**2 + 2*r**2)*(-12*r + 9*r - 9*r).\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6185 is divided by 2756.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v**2 - 564*v - 5841 = 0. Calculate v.\nAnswer: -177, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 2925.8103 months?\nAnswer: 243.817525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 322968 or 322975?\nAnswer: 322968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4716483 take away -13524?\nAnswer: -4702959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 8, -27*c = -22*c + 4*d + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -23, -71, -175, -353, -623, -1003?\nAnswer: -1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-19)\/38)\/((-13)\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 13) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3201 divided by -1603.\nAnswer: 3201\/1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*f - 40*f - 34*f.\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10022, -40535, -91412, -162659, -254282?\nAnswer: -366287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75064, -150233, -225402?\nAnswer: -300571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.79 * 0.05038.\nAnswer: 0.2413202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 5 = 3*l. Let y be 1\/l*1*6. Let q be 0 - 8\/(-3)*y. Calculate the greatest common factor of q and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6034765\/12 greater than -502897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -287, -2340, -7917, -18782, -36699, -63432, -100745?\n\"Answer: -294*u**3 + 2*u**2 - u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (567\/(-11025))\/(((-468)\/40)\/39).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (132 + (3 - 0))\/((-62)\/(-682)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-87504)\/51044*7*(-2)\/6)\/(-262)?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -7*q - 2. Let a = -25 - -28. Let w(g) = g + 1. Let c(x) = a*w(x) + m(x). Suppose i - 1 = -4*o + 2*o, -5*i = 5*o. Determine c(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0420922 to 5 dps.\nAnswer: 0.04209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2027989*b*i**3*v + 2*b*i**3 + 46603646*b*v + 2*v wrt i?\nAnswer: 6083967*b*i**2*v + 6*b*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*b + 75877 = 72837 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 - 12. Let u = -48 + 56. What is the second biggest value in t, 0.1, u, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (3*1*sqrt(1536))\/((sqrt(108) - sqrt(108)*1) + sqrt(432)).\nAnswer: -2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38878661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 864419, 1728781, 2593145, 3457511, 4321879, 5186249, 6050621?\n\"Answer: z**2 + 864359*z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 minus -538120?\nAnswer: 538092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2171.\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 31099409 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/4*(-1118)\/39. Suppose -12*n = -f - 29. Let g(c) = -c**2 - 8. Determine g(n).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/21, -14, 0.4, -0.3, 1\/17 in decreasing order.\nAnswer: 0.4, 2\/21, 1\/17, -0.3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38252 + -38236. Suppose 5*q = -4*w + 43, 5*w + 84 = 5*q + 14. Calculate the smallest common multiple of o and q.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r*r*r\/(r\/r**(-30)*r)*r)\/r)\/r*r*r\/(r**(-1\/10)\/r)*(r**(20\/9))**(2\/37) assuming r is positive.\nAnswer: r**(-85847\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 12*k**2 + 11*k + 8. Let t be h(-11). Suppose 26 = t*q + 2. Solve -6 = a - q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 28, 100, 280, 616, 1156?\n\"Answer: 8*n**3 + 6*n**2 - 2*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (13 + 343\/(-28))*3*(-10)\/11 and -33\/1046?\nAnswer: 11506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = -4948*f + 4892*f - 140, -3*f = -20*v + 146 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaay when four letters picked without replacement from {a: 12, y: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 267094 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -16, -1529400, -5?\nAnswer: -1529400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -75, -1, 1, 2\/143, -4\/7, 2\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4153193 is divided by 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 815711 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**2 - 23*v + 27. Let w(f) = f + 9. Let m be w(-5). Suppose -m*y + 53 = -3*g, 3*y + g - 21 = 9. Is 16 a factor of a(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m**2 + 564*m = 0.\nAnswer: 0, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f + 4. Let g be (-4)\/(-6)*(3 + 0). Let d be (20\/25)\/(g\/10). Let s(p) = 49*p - 63. Let m(j) = d*s(j) + 63*l(j). What is m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-26)\/(-4) - 2\/4. Suppose -23 = -5*u + 2. Suppose -u*w - l = -21. Solve w*t - 5*s + 1 = -0, -t = 3*s + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, e: 5}. What is prob of sequence mm?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -155 - -263. Let z be 15*(-1 + 18\/10). What is the greatest common factor of z and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 PM and 5:47 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 1d9?\nAnswer: 1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 50. Suppose 173 = -6*g + 3*g + 5*x, -5*x = -5. Let z be ((-96)\/g)\/((-2)\/(-14)). Calculate the highest common divisor of h and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 1 + 4 + 30 + -8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19723574 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 816\/504 + ((-4)\/(-7))\/(-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -1, -9.\nAnswer: -9, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15358 - 11363. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 540 minutes after 8:55 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a microgram in nanograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2501.88 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 8:14 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 0.019, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -55 in 2\/9, 0.4, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/6)\/(53\/159).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -483*g + 10435 + 201*g + 282*g + 3431*g**2 wrt g?\nAnswer: 6862*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 898 and 472450372?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-5))\/(-16*(-18)\/(-180))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/sqrt(3)*3 - sqrt(30)\/(sqrt(30)\/sqrt(5)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2084, 2042, 1968, 1862, 1724, 1554?\nAnswer: 1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - -134386556.\nAnswer: 134386540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3137828500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 563 = 3*p, 357 = -11*p + 13*p - c. Calculate the remainder when p is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -57, -193, -419, -735, -1141?\n\"Answer: -45*v**2 - v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k + 25 = -3*k. Solve -5 = -5*g + 2*w, 20 = -k*g + w - 4*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 344 = 97730*s - 97687*s. Solve 8\/9*p**3 - s*p + 6 + 4\/3*p**2 - 2\/9*p**4 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 627954126 + -627954028.0000054. Let d = f + -98. What is d rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170 = 4*f - 418. Is f a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.7096 and -0.19?\nAnswer: 0.5196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + (16 + -32 - -12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2981126, 5962250, 8943374, 11924498?\n\"Answer: 2981124*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 6979*n**3 + 4701*n + 2. Let k(z) = -20937*z**3 - 14113*z - 7. Let b(w) = -2*k(w) - 7*s(w). What is the second derivative of b(i) wrt i?\nAnswer: -41874*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1751 - -2898. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 140 - 81. Suppose -2*p + 33 = p - n, 5*p - 3*n - x = 0. Suppose -p*i = -8*i - 354. What are the prime factors of i?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*21\/(-27))\/((-11)\/(-99))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, o: 1, p: 3}. What is prob of sequence woow?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 129 and -7 + (-258)\/(-36) - (-6461)\/6?\nAnswer: 46311","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 494742667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -m - 4*o + 24, 5*o - 22 = m - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 3*x + 63, 65 = 5*n - 3*x + 2*x. Suppose n = 3*l + 2*t, -2*t - 9 = t. Suppose -73 = a - 76. Solve 4*u - s = -l, -2*u - a*s + 2*s = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from {c: 1, b: 1, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1061, 2124, 3187?\n\"Answer: 1063*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -1\/25, 0, 8\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19465, 38853, 58229, 77587, 96921, 116225?\nAnswer: 135493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 5 = 3. Let z = w - 0. Suppose -1 - 1 = -z*h. Solve f + h = -2*o, -5 = -f + 6*f + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, g: 3, x: 1}. What is prob of picking 1 x and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -37a70 (base 12) in base 3?\nAnswer: -10212000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-8)\/k**(1\/9) assuming k is positive.\nAnswer: k**(-73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -518332*z**3 + 6*z**2 + 12*z + 19. Let v be q(-2). Let a = v + -476675. Round a to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 229 is divided by 6 - -86 - (11 + -18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 527 divided by -5603\nAnswer: -527\/5603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -16370 and 0.248.\nAnswer: -4059.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 165 + -165. Suppose u - 2*b = 2*u - 76, 5*u - 356 = 2*b. Find j such that -6 - 36*j**5 + 112*j**3 + o*j**5 - 3 + u*j**2 + 1 - 12*j = 0.\nAnswer: -1, -1\/3, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*y + 44763 - 233281 = 0. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(128)*3*2.\nAnswer: 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3278?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2636 times 0.2312?\nAnswer: 609.4432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3432 and -4143098.\nAnswer: -4143098.3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/((2\/((-126)\/(-7)))\/(364\/702)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.2  (b) 5  (c) 2\/149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2\/7 - 3\/14. Let x = 5.27 - 1.27. What is the third biggest value in x, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p. Let z(f) be the first derivative of 3*f**4\/4 - 16*f + 7. Let t(k) be the first derivative of z(k). Give x(t(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 4*h - 3. Let q be z(2). Let a = 53 + -34. Suppose 0 = q*j - 11 - a. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4839 = 19*i + 1628. Is 168 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 - 2*l - 15. What is the common denominator of o(6) and 15\/29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 107 + 143 = 0. Let b(n) = n**3 + 5*n**2 - 5*n + 11. Let l be b(-6). Suppose 3*o - l*r - 69 = 0, 5*o = -r + w + 93. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*t = -75988 + 80788 for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**3 + 109*m**2 + 221*m + 111 = 0. What is m?\nAnswer: -1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1859 = 101*v + 283 - 324 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-32)\/10)\/((-270)\/10125). What is the greatest common divisor of w and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9929890 and 8245?\nAnswer: 168808130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (48\/15)\/(4\/10). Suppose 0 = -6*w + w + 10. Sort w, 0, b.\nAnswer: 0, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-47*468\/91650)\/(((-198)\/(-45))\/(1 - -1))\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 18, 14, -9 in increasing order.\nAnswer: -9, -1, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/63)\/(2\/6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 392025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (14\/4)\/(5 + 9\/(-2)). Suppose 0 = -f - 4*g + 315, -n*f = -6*f - 3*g - 294. What are the prime factors of f?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-10) - (-252)\/(-45). Let u be (-22)\/(-3) + (-1)\/3. Let i = u + m. What is the smallest common multiple of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**3 + 506470*p**2 - 2025940*p + 2025960.\nAnswer: 5*(p - 2)**2*(p + 101298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by 41.\nAnswer: 25\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 615592.2 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-4)*h*h*(h\/h**(5\/8))\/h*h**(-11)*h*h\/(h\/h**12))**(-32\/7) assuming h is positive.\nAnswer: h**(-268\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 6111 + 6068 = -4*i, -i = 5*m + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 48*x**2 + 35*x**2 + 132*x**2 + 20*x**2 to o*x**2 + z*x + a and give o.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17553311 is divided by 1369.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 15. Calculate the remainder when 48 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the second derivative of t**4\/18 - t**3\/9 - 2*t**2\/3 + 11*t. Let d(a) = 0. What is a?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 70139.328 hours?\nAnswer: 417.496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 351296 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 6 + 0)*(6 + 12 - 10)*(z**5 - 2*z**4 + 2*z**4).\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4568964 by -32404.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1260\/(-1350)*210*5\/20?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24 + 24.28. Let u = d + 1.06. What is u rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -75.7468 from -1009.6.\nAnswer: -933.8532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 251\/5, 0.2, 5, 1\/3, 1\/23 in descending order.\nAnswer: 251\/5, 5, 1\/3, 0.2, 1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b - 63*b**2 - 163*b**6 + 112*b**2 - 3*b - 2*b + 0*b wrt b?\nAnswer: -19560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 87900 and 119100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 4*h = 28 - 16, -4*r - 2*h = 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14409167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -3435485 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*z**2 + z**2 + 2*z**2 + 2 + 1 with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -300*f + 614*f - 317*f = 3*m - 2*m - 19, -18*f = -5*m - 169 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12 + -11)*(-2 + 1 + 36). Calculate the greatest common factor of f and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -160 - 13. Let x = -176 - z. What is the nearest to -5\/2 in -2\/3, x, -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1408009 is divided by 526.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 5*r + 8. Let o be (-1 + -1)\/(r\/4). Determine z so that -1 + 5\/4*z**2 + o*z = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 6*i**2. Let c(x) = 15*x + 5. Let p(d) = -43*d - 9. Let k(v) = -7*c(v) - 4*p(v). Give k(u(n)).\nAnswer: 402*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 1242.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -3*a**2. Calculate l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -12) + -8 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10253*w**2 + 10250*w**2 - 30752*w**2 + 10251*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5463 and 1152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*v**3 + 6*v**3 + 9*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 5*h = -5*t - 9, 2*h + 2 = 0. Let x(k) = k**3 + 2*k**2 - 2*k + 1. Let p be x(t). Suppose -9*i - 5 = -p. Solve 0 = 2*n - i*n - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 550419?\nAnswer: 3, 183473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99934*b - 49894*b - 49874*b.\nAnswer: 166*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - 4 = 2*b - 0*b, -4*b - 3 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3423\/(-385) + 6 + (27\/(-4))\/((-45)\/20)?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**2 - a. Let r(u) = 8*u**2 - u - 2. What is -4*g(t) - r(t)?\nAnswer: -4*t**2 + 5*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 36*b**3 - 239808*b**2 + 169304320*b - 31691571200 = 0?\nAnswer: 1160\/3, 5888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a hour in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*1*(-3 + sqrt(19))**2*-3 + (3*(0 + sqrt(19)))**2 + (sqrt(171)*-4)**2.\nAnswer: -18*sqrt(19) + 2991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*a - 764 - 63 = 19 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -7298?\nAnswer: -7293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -642\/5, 2\/11, 3.\nAnswer: -642\/5, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -9\/2  (b) 2784  (c) 301  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - -1 - (-6)\/(-3). Let b = -1093\/10 - -544\/5. What is the closest to b in n, -2\/15, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*m = -633*m - 5397 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (7\/((-105)\/10))\/((-10)\/(-15)). Are m and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**1)**(-2\/31)\/(x\/(x\/(x*x**(-1\/2)*x)*x))**38)**(-9\/2) assuming x is positive.\nAnswer: x**(5337\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that b**3 + 9*b**2 + 8*b = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 8, c: 7, o: 3, s: 2}. What is prob of picking 1 s and 3 o?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-720)\/(-270) + (-4)\/6 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -4*i - 3*i + 3*i. Let l(c) = -3*c. Let s(k) = 6*l(k) - 5*y(k). Let g(n) = -n**2 + 3*n**2 + 0*n**2. Give s(g(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2239 smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 142*m - 535*m**4 - 70*m - 72*m + (-m**2 + 4*m**2 - 5*m**2)*(1 - 1 - m**2).\nAnswer: -533*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + f + 2*o = 35, 3*o = -9. Let q = f - -72. Suppose -2*p - 4*z = -4 - 24, -3*z = 4*p - q. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3*o - 148 = 3*y, 2*y = 5*o - 48. Is y < -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*i - 109 + 149 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + 367)*1 - -2. Suppose n = 4*r - f, -2*n + 242 = 2*r + 66. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 at most 2761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -6 + 6 - h**2 + 5 - 2*h. Let z be r(-3). Suppose 2*a = 5*a - z*m - 10, 0 = -2*a + 3*m + 10. Solve -2*k = a*n - 0*k + 6, 5*k = -n + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56628.17 micrograms to milligrams.\nAnswer: 56.62817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -4*t. Let u(l) = -2*l**3 - 2*l**2 + l. Let i be u(1). Let v(m) = -4*m**2 + 3*m. Let y(p) = p**2 - p. Let n(s) = i*y(s) - v(s). Determine n(f(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.089, -9.43, -0.1 in descending order.\nAnswer: -0.089, -0.1, -3, -9.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 6, n: 7}. What is prob of picking 3 n and 1 w?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1261, 1237, 1213, 1189, 1165, 1141?\n\"Answer: -24*h + 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5819547 - 18601375 = -94*w - 3609980. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppci when four letters picked without replacement from iipiipcpiip.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.21972, 5, -1\/2, 0.1, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f**2 - 4*f + 4. Suppose 6*w - 15352 = -15376. Let r(x) = x - 1. Let d(i) = -2*i**2 + 3*i - 3. Let o(k) = d(k) + 2*r(k). Give w*o(m) - 5*h(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - s**2 + 2)*(4*s - 5*s - s + (13*s - 9 + 9)*(-23 - 8 + 12)) as p*s**3 + c + j*s + i*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2. Let v(a) = -77554973*a. Calculate v(j(d)).\nAnswer: 77554973*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (-4 - -4 - -12) - -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -196 - -286. Let h = z - 168. Let v = h + 113. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2 + 0)*(2 - 2594*f - f**2 - 11*f**3 + 2591*f + 0) as m*f**2 + u*f + x + y*f**3 and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 8 - (27 + -17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 AM and 5:09 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15.34 + -16.289. Let g = u + -0.051. Let l = 1.5 + g. Sort 1\/3, l, 2\/11.\nAnswer: 2\/11, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99193.71 years in months?\nAnswer: 1190324.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 510 from -9709688843.\nAnswer: -9709689353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 38\/3 + (9 - 522\/54)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 27*u**2 - 4*u - 39. Let b(o) = -o**2 - o - 2. Let a(r) = -4*b(r) + p(r). What is the first derivative of a(w) wrt w?\nAnswer: 62*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101311100221 (base 4) in base 3?\nAnswer: -22210111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*u - 164*u - 39 + 39 + (u + 4 + 0 - 2)*(39 + 12 + 1) as c*u + i and give i.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 + 9*q**2 - 10*q - 4. Let n be c(-10). Let p be (81\/(-36))\/(1\/n). Let a(d) = -3*d**2 + p*d**2 - 2*d**2 + 3*d**2. Let v(f) = 2*f**2. Give a(v(x)).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -7780328.7 rounded to the nearest one hundred thousand?\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -25732745 divided by 1\nAnswer: -25732745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1295.87455 * -0.3.\nAnswer: -388.762365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1424972, 2849938, 4274914, 5699906, 7124920, 8549962, 9975038?\n\"Answer: r**3 - r**2 + 1424962*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 - -219. Suppose 57 - d = 5*h - 5*z, -h - 5*z = 18. Round h to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -1\/6*o + 0*o**2 + 0 + 1\/6*o**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - -4) + 0 + (-4 - -2). Suppose o + 7 = -3*x, -s = 5*x - 5*o + 3. Let m(b) = -b**3 + 3*b**2 + 2*b. Calculate m(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 2, -6 in descending order.\nAnswer: 2, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/9247889 and 5\/1321127.\nAnswer: 9247889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 81\/161 - 5\/23. Let w = -18.42 + 22.3. Let t = w + 0.12. Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4437, 17746, 39929, 70986, 110917, 159722?\n\"Answer: 4437*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/9))**(-4\/11)\/(b**(-1\/3)*b\/(b\/(b\/(b**(-31)*b))*b)) assuming b is positive.\nAnswer: b**(-2933\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 268 a factor of 710736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1593 - -1598. What is the least common multiple of y and 714?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-13)\/234)\/((-7)\/105)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 - (15 - (-5 + 8)) - 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -16 + 11. What is the third derivative of y*k**2 + 2*k**5 + 4*k**2 - k**5 wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1133 + 15367 = -854*y + 524*y for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*w - 4*w**2 + 2*w**2 + 5*w - 7*w to k*w**2 + o*w + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -14816 divided by 16\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 4*j + 3, -10*s - 57 = -13*s + 5*j. What is the greatest common factor of s and 711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00013732 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0  (b) 0.3  (c) -1  (d) -8.7084\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -4. Let m = -86 - -152. Suppose -m*b + 73*b - 21 = 0. Solve 0 = b*l, -h*c = 5*l + 1 - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20336*q - 47334*q + 16112*q.\nAnswer: -10886*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 200\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f\/(f**(-25)*f))\/f)\/f**8)**(-1\/37) assuming f is positive.\nAnswer: f**(-17\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 - 4)*2\/(-6). Solve c + 5 = -j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 66 - 65. Let y(r) = -r**2 - 1. Let w(q) = -4*q**2 - 27. Let z(v) = o*w(v) - 3*y(v). Differentiate z(a) wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1023 divided by 187?\nAnswer: -93\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -k**5\/5 + k**4\/5 + 366*k**3\/5 - 216*k**2 = 0.\nAnswer: -20, 0, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 8*y**2 - 7*y + 2. Does 7 divide d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + c - 15 = 0. Suppose 1 = 2*l - c. Suppose -2*k = 5*i + 3*k - 180, -4*i + l*k = -137. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2\/6123 + -48044\/6123. Let v = i - -1089\/104. Calculate the common denominator of -43\/14 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*(-5 + 1 + 6)*(-113*l + 17*l - 3*l) + 0*l + 0*l - l.\nAnswer: -397*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 15*k. Let r(p) be the second derivative of 17*p + 0*p**2 - 1\/2*p**3 + 0. Calculate r(w(q)).\nAnswer: -45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 34, -2, -49 in increasing order.\nAnswer: -49, -2, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -9*j - 461. Let w(a) = 5*a - 1. Let v(r) = 2*c(r) + 18*w(r). Give v(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80 divided by 40.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f**2 - 16 - 19 + 35.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 2*s**2 - 5*s - 12. What is h(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25316 is divided by 12614.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 156632806?\nAnswer: 2, 11, 23, 107, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 3*c + 7 = 0, 15*c - 38 + 60 = -26*q + 11*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 2*u - 16, -3*u - 2*w + 323 = 309. Factor -4 + 8\/3*f - 4\/9*f**u.\nAnswer: -4*(f - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 27*f - 5 + 14 - 38*f + 10*f**2 - f**3. Give p(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/742 and -51\/74.\nAnswer: 27454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.3 - 8.542. Let r = i + 2.242. What is the fourth smallest value in r, -21, -0.3, 3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/4 or -31?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.4178611 nanograms?\nAnswer: 0.0004178611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -2\/7, -0.2, -199, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 + 1828*j + 186729. Give x(-97).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, s: 3, d: 2}. Give prob of sequence dss.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3527986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 369590.\nAnswer: 2, 5, 13, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 161\/21138 and -25\/1661772.\nAnswer: 21603036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2 = g + 5, t + 4*g - 23 = 0. What is the least common multiple of t and 146?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, s: 1, r: 5, g: 8, b: 5}. Give prob of picking 1 s, 1 g, and 2 b.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)*2*1)\/(sqrt(8) + (sqrt(96)\/(sqrt(12) - (sqrt(12) - sqrt(300))) - sqrt(8)))*-1.\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 410 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 312333012 (base 4) to base 3.\nAnswer: 102102221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -92959*n**2 - 66504*n + 2 wrt n.\nAnswer: -185918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**3\/7 + 15664*p**2\/7 + 15335056*p\/7.\nAnswer: 4*p*(p + 1958)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -d**6\/120 + 11*d**5\/30 + 3*d**4\/4 - d**3\/6 + 10*d**2. Is v(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 48923 - 2643*m - 48923 to the form u + j*m and give j.\nAnswer: -2643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -32 + -11837?\nAnswer: -11869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 89 - 106. Is -16 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(50)*3)\/sqrt(10))*3*6 + -3.\nAnswer: 51 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49371 is divided by 113.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**2 - 2*t**2 - 3*t**2 + (5 - 1 - 5)*(5 - 5 + 3*t**2) + (3*t - t - t)*(3*t - t - t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 18.627716078+0.08\nAnswer: 18.707716078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 142*x - 16 = 146*x - 4*n, -5*n = -4*x - 19. Let y = -6 + 4. Is y <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**2 + 29*q - 29*q)*((-9 + 0 + 3)*(2 - 1 + 0)*(4*q + 4*q - 5*q) - 8*q + 0*q - 49*q).\nAnswer: -225*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 - 74*b + 39. Let s(i) = i**2 - 41*i + 19. What is -5*s(m) + 3*x(m)?\nAnswer: -2*m**2 - 17*m + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 198432 divided by 78\nAnswer: 2544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.89 - -0.11. Let j = y - 4.06. Round j to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100010010101100010 (base 2) in base 9?\nAnswer: -233828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.8 - -3. Let n = 0.2 + h. Put 4\/5, -0.5, n in increasing order.\nAnswer: -0.5, n, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/176)\/(((-39)\/((-14586)\/(-170)))\/(5\/6)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1229, -4, 20, 5 in increasing order.\nAnswer: -4, 5, 20, 1229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 184066686*m - 287835869?\nAnswer: 184066686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3003012.3 take away 0.3?\nAnswer: -3003012.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1217173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1123111.23895 from -5.\nAnswer: 1123106.23895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -0*n + 2*n. Suppose 4*t = t - n. Let v = t + 12. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 22921.03 millennia?\nAnswer: 2292103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 8. Let i(d) = d**2 - 15*d + 2. Let k be i(15). Let b(y) = 3*y**2 + h*y + 0*y**k + 1 - 4*y**2. Give b(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + 0. Let k be (-28)\/p + (-6)\/15. Let m be k\/(-12)*-1*1. Put m, 2, -2\/9 in decreasing order.\nAnswer: 2, -2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 17*r**2 - 514*r + 1089. What is s(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2589.324 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -3 + 2*f - 4*f + f**2 + 5 - 3*f. Let n(r) = -3*r + 27. Let d be n(6). Suppose d*q - q = 32. Determine j(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00141127108 rounded to five dps?\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5*o**2 - 26*o + 14. Let q(z) = -5*z - 34. Let c be q(-8). Let v(t) = 41*t - 14. What is the remainder when v(4) is divided by s(c)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = b - 80, 4*r - 5*b = -0*r + 146. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5\/14  (b) 5  (c) 2\/23  (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h - 0*h + 4*y + 7, 2*y = -8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -172 + 146. Let q(p) = 372*p - 228. Let d be q(c). Round d to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, x: 5}. Give prob of picking 3 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51, 211, 471, 825, 1267, 1791, 2391?\nAnswer: 3061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(204))\/sqrt(12))**2 + 3 - (sqrt(1377)*-2 + sqrt(1377) - (-1 + sqrt(17))*-3))*-4.\nAnswer: -24*sqrt(17) - 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1209 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 78, 196, 424, 798, 1354, 2128, 3156?\nAnswer: 4474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/6*(-99)\/66*10\/(-15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -d**6\/6 + 146*d**5\/5 + 171*d**3 - 478. Find the third derivative of s(c) wrt c.\nAnswer: -60*c**2 + 3504*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*56\/(-64)*4\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(-1\/13)\/a))\/(a**(-14)*a))**(-2\/33) assuming a is positive.\nAnswer: a**(-392\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of 5*h**8\/2016 - h**7\/126 - h**6\/72 + h**5\/18 + 5*h**4\/144 - 5*h**3\/18 - 5*h**2. Let a(g) = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - 75\/(-9)) + (-32)\/6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 391 != -20\/763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-176)\/(-56) + 7 - 4 - 6.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 PM and 10:37 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 4*z + 20 = 0, -9*r + 4*z = -6*r - 20. Let a(j) be the second derivative of 1\/6*j**3 - j**2 - 9*j - 1\/12*j**4 + r. What is a(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16c (base 16) to base 11\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -10039, -19974, -29803, -39526?\n\"Answer: 53*a**2 - 10094*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 29*i**2 + 3*i. Let v(t) = 44*t**2 + 4*t. Determine -7*b(r) + 5*v(r).\nAnswer: 17*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9730*n + 228*n = 274335 + 969087 - 98252 for n.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2347*0.3.\nAnswer: -704.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of -i**4\/24 - i**3\/2 - i**2. Let t be n(-8). Factor -a**t + 2*a**3 + 4*a**2 + 1 - 3*a - 3 - 2*a**4 + 2*a.\nAnswer: -(a - 1)**2*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q**4\/7 - 12*q**3 + 216*q**2\/7 - 204*q\/7 + 66\/7 = 0. Calculate q.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -83.86 and -5.\nAnswer: 419.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than 7\/91992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -615195 divided by 2511.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2346*y + 2064*y - 9870 = 0 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*r**2 + 15*r - 1114.\nAnswer: -8*r + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 718709, 1436418, 2154127, 2871836?\nAnswer: 3589545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6916\/42 - (-2)\/6. Let m(b) = -b**3 - 3*b**2 + 2*b + 3. Let v be m(-4). Suppose -4 = -i + v. Calculate the highest common divisor of i and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - 1259*w**2 + 96419*w + 111807. Determine j(1177).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6 + -2*(3 + -1). Find the third derivative of -11*c**g + 4*c**4 + 3*c**4 - 5*c**4 wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**3 - 26*g**2 + g - 8. Let d be u(13). Suppose -d*r - 4*p = -519, 0 = 3*r + p + 2*p - 312. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -2*q + 66, 4*q - 132 = -4*d - d. Suppose 2 = -5*c - 3. Let m(t) = 2*t**2 - 2*t - 1. Let v be m(c). What is the highest common factor of v and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express r + 2*r - r + (r - r - r)*(1 - 1 - 2) - 35859*r + 9371*r + 25731*r - 32753*r - 81213*r - 42073*r as x*r + y and give x.\nAnswer: -156792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*n - 131*n = 110 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -35?  (a) 5  (b) -8  (c) -10.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17 + 8718*i**4 + 2*i**3 - 8716*i**4 - 4*i**3 - 2*i - 3*i**3 to the form r + g*i**3 + m*i**2 + l*i + x*i**4 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1731 + 2621. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/q**(-4))\/q*q)\/(q**(2\/27)\/q)*(q**(-9\/5)\/q*q)**(-40))**(-2) assuming q is positive.\nAnswer: q**(-4208\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 342 = 4*v + 4*z - z, 0 = -5*v + 3*z + 414. Let u = v - 83. Is 2\/93 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157\/3*(-5 - (-2 + -12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence izki when four letters picked without replacement from {z: 5, b: 7, i: 6, k: 1}.\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/9, -12\/11, 3\/178, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 5 + 3. Let p be 52\/247*10 - (-4)\/(-38). Solve d*m = p*n, 5*m = 5*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -3*j**4\/2 + 27*j + 25. Differentiate r(u) with respect to u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(1\/3))**(-6)\/(v**(-2))**16 assuming v is positive.\nAnswer: v**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(7)*-2*5.\nAnswer: -10*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7636228*k*m**2 + k*m + 2469*k - 292*m wrt m?\nAnswer: -15272456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 0  (c) -2\/7  (d) 0.3  (e) 467\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -536\/10589 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*q - 6745 = -146*q - 63*q + 2680 for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 176 = 64. Let z be 16\/x + (-7)\/(1274\/24). Which is the third smallest value?  (a) z  (b) -4  (c) 2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41250483941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 807160649?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (353 - 353 - 15*q**2)*(-3*q**2 - 3*q**2 + 4*q**2) + 4*q**4 - q**4 - 4*q**4.\nAnswer: 29*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.9 + 0.9. Let t = -17 - -13. Put l, t, 1\/11 in decreasing order.\nAnswer: 1\/11, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 236 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 72600 and 1932612?\nAnswer: 96630600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 24510, -5, 4, -3 in increasing order.\nAnswer: -5, -3, 1, 4, 24510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -3*f + 77, f = r + r + 26. Suppose -18*m + f*m - 1500 = 0. What is the highest common factor of m and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 13\/2*(-304)\/(-247). Solve 0 = n*z - 15*z - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 569956442?\nAnswer: 2, 11, 127, 137, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.139*7.\nAnswer: -0.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-3))\/((8\/(-20))\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(228) + sqrt(228)*-2 + sqrt(228) + sqrt(228)) + (sqrt(228)*2 - sqrt(228))*4)\/(4*-6*(sqrt(12) + sqrt(24)\/sqrt(2))).\nAnswer: -5*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -74.9 + 75.1093. Let v = a + -94.1093. What is v rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 781 is divided by 271.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 817*v**3 - 264*v**2 - 3*v - 10379910 wrt v.\nAnswer: 2451*v**2 - 528*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 9:37 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0.012, 4 in ascending order.\nAnswer: -1, 0.012, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*h + 8*h + 3*h)*(-h**2 - 2*h**2 + 2*h**2) to b + p*h**3 + y*h**2 + j*h and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5543*s - 5549*s + 3*l + 96, -4*s - 4*l = -0*s - 88 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14068\/19 - -740. What is the closest to 1 in 0.5, 3\/5, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 2*a**3 + 69508*a**2 + 3400990*a - 3470500 = 0?\nAnswer: -34705, -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*s - 2*s = -22. Let v(o) = 2*o**2 - 4*o - 10. Let t be v(s). Is t > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/4077 and -17\/3416526.\nAnswer: 3416526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 3*q**2 - 11*q + 1. Let y(z) = -4*z**2 + 16*z - 1. Let o(r) = 7*v(r) + 5*y(r). What is the units digit of o(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -23120357 and 20072.\nAnswer: -23100285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 17490\/13 and 0.98 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53, 8, -58 in descending order.\nAnswer: 53, 8, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (2\/((-16)\/1088*-34))\/(8\/396*3)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1233325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1210015 divided by -62.\nAnswer: -1210015\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b + 3*b**2 + 608*b**3 + 4*b - 609*b**3 - 2. Let r be (-3 - (-1 + 1))*-1. Let y(p) = 2*p - 3. Let j be y(r). What is a(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -300921980 divided by -1?\nAnswer: 300921980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {y: 2, x: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 15*i - 1)*(-3 - i + 3).\nAnswer: -15*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8363063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - y + 34 = 0, 5*y - 74 = -2*t + y. Let p = t + -37. What is the second biggest value in p, -2\/3, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**2 - 4*b + 8. Give o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -25 or 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 5598 = 2*x - 0*i, i = -x + 2791. Suppose -5*c = -5*y - x, 104 = -3*c - 2*y + 1756. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -124 + -1?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**2 - 5*s + 5. Let g be q(2). Solve 4*l - 9 = -c, g = 4*c - c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (15 - 329)\/(-3 + (-1 - -2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 4*f - 7593 = 0, -3*f - 12 = -6. Is o at least 1516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20 + 81\/4. Let f = -2.02 - -0.02. Let d = -3 + 2.9. Which is the smallest value?  (a) d  (b) p  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 868611, 868606, 868599, 868590, 868579, 868566?\nAnswer: 868551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - 6bc44f4?\nAnswer: -6bc44f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 - 2*x**2. Let k(v) = 5*v**2 - 2*v**3 - 44 + 43 + 0*v**3. Give 2*k(n) + 5*u(n).\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6679.\nAnswer: 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, -5, -14, -23, -32, -41?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -t**5\/20 + t**4\/3 - t**2 - 19*t. Let c be z(2). Solve 2*o = -c - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/1449 and -89\/6279.\nAnswer: 18837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 833 - -77. Suppose 8*r = -y + 2814. Find the common denominator of -27\/13 and r\/(-12) + (-8 - -7)*-4.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p**3 - 675792*p + 225260*p + 225268*p + 225264*p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/18)*s**40)**(-4\/11))**40 assuming s is positive.\nAnswer: s**(-57680\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03992 to three dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h - 1. Let y(l) = -4*l + 13. Let k(u) = 6*w(u) + y(u). Let v be k(-8). Suppose 4*i = 53 + v. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13680841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 17*z**4\/6 - 187*z**3\/6 - 23*z**2. What is the hundreds digit of o(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -89 + 107. Calculate the lowest common multiple of c and 304.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12620 + -10358. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 3*n**3 - 4*n**2 - 7*n + 1. Let z(r) = -7*r**3 + 9*r**2 + 13*r - 3. Calculate -5*a(m) - 2*z(m).\nAnswer: -m**3 + 2*m**2 + 9*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 + 5*j**2 - 4*j - 6. Let m = 635 - 638. Let z be f(m). What is the greatest common divisor of 104 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 7  (b) -11154\/7  (c) 2\/3  (d) -3  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*d*g*l*r - 2*d*g*r + 356*d*g - d*l*r - 20*l*r wrt l?\nAnswer: -7*d*g*r - d*r - 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oyj when three letters picked without replacement from jjjeyjocjyjgyyjeeo?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175985198?\nAnswer: 2, 87992599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7 + 6368*v**3 - 1962*v**3 + 7541*v**3 - 3 + 2*v - 53*v**2 - 1 wrt v.\nAnswer: 71682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 347058 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.068, -66, 1 in decreasing order.\nAnswer: 1.068, 1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -96 + 2.829076.\nAnswer: -93.170924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t - 4. Let a be c(8). Let w = a + -2. List the prime factors of 1\/w - (-5)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5\/7 - -2) + -3. What is the nearest to 1\/3 in 1, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6705548 divided by -12724.\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2*l - 36 = 16, -3*o = 2*l - 32. Let i(c) = 2*c - 28. Let t be i(o). Let n be 0*t\/(-12) - -52. Calculate the highest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - 36\/(-16)) + (-12260)\/16. Let x = n + 1102. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 8*m + 5. Let x be n(5). Let q = x - -18. What is the greatest common factor of 95 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 + 5*k + 2. Let f be v(2). Let n(h) = 8*h + 6. Does 11 divide n(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000083918148 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 37 * 12.69\nAnswer: 469.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.031638239 + -0.03166. Round w to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u - 2. Let c be q(6). Calculate the greatest common divisor of c and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 113372?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1530132119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hrd when three letters picked without replacement from rjndhdd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 682324216 divided by -170581054.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4, 20, 36?\n\"Answer: 16*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 506 and 6800783.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161963?\nAnswer: 149, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127447 is divided by 46.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (43\/(-4))\/(3\/(-12)). Let q = k - 20. Solve w = -0*w + 4, 2*w - q = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 362, 889, 1768, 2993, 4558, 6457, 8684, 11233?\n\"Answer: -c**3 + 182*c**2 - 12*c + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6176 and 4809.\nAnswer: 29700384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002629 rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -12*w**3 + 1. Let b = 70 - 122. Let f be 13\/b - 6\/8. Determine j(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4348410.77 + -782956.\nAnswer: -5131366.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4073*24467.\nAnswer: 99654091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28590 and 4040?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -87 + 46 - -41 - (4 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y. Let c(n) be the third derivative of 7*n**4\/24 + n**3\/6 - 7*n**2 + n. Calculate -c(m) - 6*u(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 566 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u**4\/7 - 9992*u**3\/7 + 301446*u**2\/7 - 81844*u + 40208 = 0.\nAnswer: -5026, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*n + 2)*(-3*n**2 - 5 + 5) + (-1 + 2 - 3)*(-3*n**2 + n**3 + 3*n**2) - 4*n**3 + n**3 + 2*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35725 is divided by 11904.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 375938*m**3 + 375932*m**3 - 751997*m**3.\nAnswer: -127*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 4:08 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 - 7*d + 9. Calculate p(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 11:28 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4361421680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/248 and 5 + 1505\/440*-2.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1273*p + 797 - 1273*p - p**2 + 5*p**3 + p**2 - 169.\nAnswer: 5*p**3 + 628","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -5578257, -5578254, -5578249, -5578242, -5578233, -5578222, -5578209?\n\"Answer: g**2 - 5578258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-6) + 8\/33 + (-179452)\/(-102102)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 285\/21 + 0 - 9\/(-21). Find the second derivative of 2*p**3 - 27*p**3 + 6*p - r*p - 22*p wrt p.\nAnswer: -150*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 1.69  (c) 3\/7  (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 6*y**3 - 11*y**2 - 11*y - 16. Let v(h) = h**3 - 2*h**2 - 2*h - 3. Give 2*u(p) - 11*v(p).\nAnswer: p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 728595.\nAnswer: 3, 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 2*i - 20 = -i - 92, -9*i = -i + 6*i - 980 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -40*v**2 + 4*v - 11. Let u(j) = -114*j**2 + 15*j - 32. Give -17*o(s) + 6*u(s).\nAnswer: -4*s**2 + 22*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 2, 1, -2, 20, 18353.\nAnswer: -3, -2, 1, 2, 3, 20, 18353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*148.4\nAnswer: -29.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -27031.4 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x**(-6\/11)*x)\/x*x*x)\/((x\/(x*x*x*x**(-3\/7))*x)\/x))**(-8) assuming x is positive.\nAnswer: x**(-2480\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 37 + 62 = 0. Let u(m) = -3*m**3 - 6*m - 6. List the prime factors of u(w).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 16*i + 183. Let x(h) = 3*h + 33. Let t(u) = -2*n(u) + 11*x(u). Let j = -12 + 20. Suppose -32 = -5*f + j. Determine t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -162 + 145\/((-23200)\/(-10560))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**3 + 92775*l**2.\nAnswer: -3*l**2*(l - 30925)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 1:03 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -42701 or -85403\/2?\nAnswer: -85403\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-162)\/4*23094\/34641.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0*i + 32*i - 6*i - 11*i - 8*i.\nAnswer: 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6682 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 435970053?\nAnswer: 3, 2111, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 601314 is divided by 5408?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -917*a**3 + 725*a**2.\nAnswer: -5502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 119 + -2 + 1 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 20361608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 7*j**2 + 7 + j**3 - 5*j**2 - 10*j**2 + 2*j. List the prime factors of u(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-1)\/2)\/((-1)\/(-16)))\/(54711\/218844).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93257306 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -1505*u + 1622. Let a(g) = 5. Let s(i) = 10*a(i) - 2*j(i). Differentiate s(x) with respect to x.\nAnswer: 3010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10\/3)\/(3\/9). Find the common denominator of (-50)\/t + 142\/56 and 43\/18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 5*j + 2, -3*d + d - 3*j + 24 = 0. Suppose 0*v = 2*v + d. What is the units digit of 11\/3 + 6\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-1)\/((-5)\/948))\/(57\/1330)?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 6:45 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21671, 21667, 21663, 21659?\nAnswer: 21655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 4*i + 18, -5*g - 4*i = -i - 1. Let h(r) = g*r + 1 - 5*r + 0. Calculate h(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -393706 or -393668?\nAnswer: -393668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-307)\/6447*14\/(-6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -504*((-2140)\/60 + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, v: 8}. What is prob of picking 2 m and 1 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kcccccccfkcfc. Give prob of picking 1 k and 1 f.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1168 and -3.\nAnswer: 3504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = w - 2109, -2*w - h = -4*h - 4260. What are the prime factors of w?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - -1 - 1 - (9 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*f**2 - f**5 + 7*f**2 + 12*f**5 wrt f.\nAnswer: 660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -478*k**3 + 107*k**2 - 961*k - 6 wrt k.\nAnswer: -2868*k + 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 8*w**2 - 45*w**3 - 7*w**2 + 0*w - 1 + 46*w**3 + 0*w. Let v(o) = -6*o**3 - 5*o**2 + 1. Give -3*r(m) - v(m).\nAnswer: 3*m**3 + 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -5*p + 0 + 9\/140*p**5 + 0*p**2 + 0*p**3 - 1\/28*p**4 + 1\/98*p**7 - 3\/70*p**6. Factor y(l).\nAnswer: 3*l**2*(l - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f - 2. Let z be (-3)\/(-2) - (-75)\/(-10). Let i be r(z). Let j be 5\/25 + 18\/i. Solve -h - 2*q = j*h, 3*q - 1 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 379*l - 368*l + 88 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + -2. Let o = 0.34 - -3.66. Put b, -2\/7, o in descending order.\nAnswer: o, b, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 6, q: 4, z: 1, j: 5}. What is prob of sequence qq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 2:19 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 255 and 101913640?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)\/((sqrt(121) + 1*sqrt(121))\/sqrt(11)))**2 - sqrt(49)\/(sqrt(252) - (1*sqrt(252) - sqrt(252))).\nAnswer: -sqrt(7)\/6 + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 334854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43, 52, 269, 608, 1069?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24972 (base 16) to base 8.\nAnswer: 444562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000728187694 rounded to 7 decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2295*x**3 - 11*x**2 - 11*x - 11. Let m(u) = 1151*u**3 + 6*u**2 + 6*u + 6. Give 11*m(o) + 6*z(o).\nAnswer: -1109*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 53, -6, -10, 2, -1, -7.\nAnswer: -10, -7, -6, -1, 2, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Is 428721277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 at least as big as 14\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56834?\nAnswer: 2, 157, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/3)\/((-1)\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.13 + -0.13. Let z = 0 + -1. Let u = -2 + 2.1. Which is the nearest to u?  (a) z  (b) -3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 + (-1 - 27\/(-8)). Suppose 2*d + 1 = 3. Let j = 54 + -57. Which is the second biggest value?  (a) d  (b) j  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 247 divided by -3.\nAnswer: -247\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 4682, 32160?\nAnswer: 32160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 1. Solve -v = w + w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26 - 22. Let m(u) = -u + 6. Let n(q) be the third derivative of -q**4\/12 + 13*q**3\/6 - q**2. Let z = 5 + -14. What is g*n(t) + z*m(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/4*18\/3 - 7. Let g = 7 + f. Let l(z) = z**3 - 4*z**2 + 3*z + 4. What is l(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2232579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1\/42)\/o**(2\/9)*o**(-2\/123)\/(o*o**(-5)\/o*o\/(o*o\/(o\/(o\/o**(-2\/11))*o*o))) assuming o is positive.\nAnswer: o**(222731\/56826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Is 435877 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 695*p - 647*p + 96 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -137311 + -27?\nAnswer: -137338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d - 19. Let n be a(-6). Let z(t) = 69*t**2 + t + 2. Let j be z(n). Differentiate 70*p + 11 - j*p - 5*p**3 wrt p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -199\/5 bigger than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 18*n**3 - 6*n**2 + 14*n + 8. What are the prime factors of b(3)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 347*r + 170*r + 178*r + 4*r**2)*(-r**2 - r + r).\nAnswer: -4*r**4 - r**3 + 13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pwywffwwpppppwwpwp. What is prob of picking 3 p and 1 f?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1468526011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 72, 243, 576, 1125, 1944, 3087?\nAnswer: 4608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-120)\/111 - -1)\/(-3). Let y = j + -44\/2997. Let z = y - 169\/567. Which is the third biggest value?  (a) -3  (b) z  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 - 1. Let k(d) = -6*d**2 + 6*d + 5. Let i(v) = -3*v**2 - 123*v - 121. Let b be i(-40). Give b*k(n) - 5*t(n).\nAnswer: n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - 51. Give u(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 336.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3994*f - 2237 wrt f.\nAnswer: 3994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 - -20. Which is the closest to 1?  (a) 0.3  (b) 0  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.5  (b) 3  (c) 11  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192)*2)\/sqrt(6).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 163104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 2*g + g**2)*((2 - 3 + 2)*(0 + 0 - 1) - 1 - 1 - 1) - 2*g**2 + 0*g**2 + g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -309 or -308?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + j**2 + 1 - 94*j**2 - 738 + 738 - 4*j**2 + 2*j**2 + 3*j**2 + (-3*j + 2*j + 2*j)*(1 - 1 + 2*j) + 3*j**2 + 3*j - 3*j.\nAnswer: -87*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (86 - 86)\/((4 - 0) + 0). Let b(y) be the third derivative of n*y + 3*y**2 + 0 - 5\/3*y**3 - 1\/24*y**4. What is b(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*o**2 + 3*o**2 - o**2 + (-3*o + 7 - 7)*(1 - o - 1).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42440, -84889, -127338?\nAnswer: -169787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 303, 334, 365, 396?\n\"Answer: 31*r + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8840 (base 10) to base 13\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-25)\/(-25))\/((-2)\/4))\/4*30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1100 and 1804?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 4*n**2 + 37*n - 6. Let l(r) = -5*r**2 - 42*r + 7. What is 7*i(g) + 6*l(g)?\nAnswer: 7*g**3 - 2*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzppp. Give prob of picking 2 p and 2 z.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - 2*k**5 + 3 + (2 - 2 + 2*k)*(k**4 + 0*k**4 - 2*k**4).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/63723 and 37\/81906.\nAnswer: 158160486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of -6*y - 3\/2*y**2 + 1. Let u(w) = 2*w - 13. Let a(m) = -18*d(m) + 4*u(m). Let l(g) = -9*g - 3. Determine -4*a(x) - 3*l(x).\nAnswer: -5*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r**5 - 744*r**4 - 84*r**3 + 15544*r**2 + 14880*r = 0 for r.\nAnswer: -4, -1, 0, 5, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.59986 litres to millilitres.\nAnswer: 599.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.7208 + -3.7917.\nAnswer: -5.5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -458\/34411?\nAnswer: -458\/34411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {n: 1, y: 11}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2645*g + 703372. Calculate c(-266).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4399734*g**3 + 20*g**2 + 455166079 wrt g?\nAnswer: 13199202*g**2 + 40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, 10, 394, -1, 1 in descending order.\nAnswer: 394, 10, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 845?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/44 and 9\/41032.\nAnswer: 451352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 4*g + 0 = 6, -1 = -2*n - g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t + 7. Let k be (1 + -4)*2\/(-2). Let o be 2\/(-6) + (-11)\/k. Give x(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 563394, 1126782, 1690164, 2253540?\n\"Answer: -3*a**2 + 563397*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1080494521 to the nearest 1000000.\nAnswer: 1080000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 73.556847 nanoseconds to hours.\nAnswer: 0.0000000000204324575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence flk when three letters picked without replacement from hfhuukl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80871581.\nAnswer: 7, 19, 32003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1279*x**5 - 398*x**2 - 603*x**5 - 572*x**5 + 371*x**5 + 252*x**5 wrt x.\nAnswer: -109860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 166887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1570, -7197, -16582, -29719, -46602, -67225?\n\"Answer: j**3 - 1885*j**2 + 21*j + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7 - (-7 + 12))\/(48\/(-12)). Solve -2*s + 0*h - 6 = 2*h, 5*s + 21 = -k*h for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3, -585716, -3 in decreasing order.\nAnswer: 3, 2, -3, -585716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**4 + 365*g**3 + 4173*g**2 - 160893*g + 850500.\nAnswer: -(g - 375)*(g - 9)**2*(g + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*x**3 - 15*x**2 + 15*x**2 + (-3*x - x + 2*x)*(2*x**2 - x + x).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2870335.9 and -11.9266?\nAnswer: 2870323.9734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 657.7?\nAnswer: -657.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 53606 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -40023 minus -3.33?\nAnswer: -40019.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 12199850 to the nearest one hundred thousand.\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3020 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -20257701 in descending order.\nAnswer: 3, -2, -20257701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8044514?\nAnswer: 2, 4022257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 66 - -402. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 156 = 3*y + 4*s, 5*y - 177 = -s. Calculate the least common multiple of y and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 429, 1721, 3873, 6885, 10757, 15489, 21081?\n\"Answer: 430*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = 3*c - 40, -38*c + 24*c = 30*c + 3*z - 155 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of -d**6\/120 - d**5\/12 - d**4\/4 - 19*d**3\/3 + 2*d**2 + 51. Calculate the remainder when n(-8) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 1964490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the first derivative of -33 - n**3 - 3*n**3 - 4*n**2 + 40. Find the second derivative of j(q) wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15349001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - 4*z**2 + 2. Let k be c(4). Suppose 5*u = 3*j - 64, -k*j - 66 = -6*j - 3*u. What is the common denominator of (-55)\/j - (-8 - -4) and 19\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 - b + 9. What is the lowest common multiple of m(0) and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 AM and 8:47 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 580 times 18845\nAnswer: 10930100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/5  (b) 6  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -31124 at most as big as -31121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2658*c + 463. Is p(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0*y = 28. Suppose 36 = 4*k - k. Calculate the least common multiple of y and (k\/14)\/((-10)\/(-70)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/3 + 1\/4*(1 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 5 - 3 - 4 - 6*m + 9*m. Let r = -5 - -7. Let s be y(r). Solve s*v = -n - 7, -3*v - 4*n - 8 = -7*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252) + 3*((sqrt(252) + -2 - sqrt(252)) + sqrt(252)) + sqrt(252).\nAnswer: -6 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 2*(1\/14)\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 8. Let q be d\/(-4) + (-5)\/(-2). Solve -3*i + 4 = -i, q*k + i - 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -22*p**3 - 12*p**2 + 14*p. Let h(c) = -7*c**3 - 4*c**2 + 5*c. Let r(i) = 10*h(i) - 3*v(i). Factor r(u).\nAnswer: -4*u*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -485384 + -4?\nAnswer: -485388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of 7*v**5\/570 - 11*v**4\/114 - 8*v**3\/19 - 310*v**2. Factor j(p).\nAnswer: 2*(p - 4)*(7*p + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of n**5\/30 + n**4\/9 + n**3\/9 + 5*n. Factor y(q).\nAnswer: 2*q*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 28756540 and 0.19?\nAnswer: 5463742.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*r**5\/7 + 21204062*r**4\/21 + 1441117354102*r**3\/21 + 7131243418874*r**2\/21 + 1798184992300*r\/7 - 98530763952\/7 = 0. What is r?\nAnswer: -135921, -4, -1, 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 472 and 4012.\nAnswer: 8024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20.4 - 2.4. Let p = 42 - c. Let d = 23.999865 - p. Round d to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118.2 times -1?\nAnswer: -118.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 11:44 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**3 + 5*q**2 + 3*q + 2. Let a(d) = -d**3 + 24*d**2 - 23*d - 5. Let v be a(23). Let m be 3*(-2)\/(-3) + v. Calculate g(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -887 + 887.02. Which is the third smallest value?  (a) -2\/15  (b) -0.4  (c) t  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**2 - 1 + 1 + (3 - 3 - s)*(-2*s - s + 4*s))*(-7*s**2 + 10 - 10).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2*-17916699\nAnswer: -35833398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241070778?\nAnswer: 2, 3, 13, 17, 60601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3*f - 30018 = 0, 4*f + 9 = -23. List the prime factors of k.\nAnswer: 2, 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (214\/(-8))\/(3\/(-24)). Let l = z - 132. Differentiate -l*u**2 + 6 + 0 + 82*u**2 + 2*u**3 with respect to u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -9. Suppose 3*r - 7*q = -3*q + 21, c*q + 35 = 5*r. Let -4*o + o**2 + r*o - 16*o**2 = 0. Calculate o.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/18*-3*3\/(-18). Which is bigger: m or -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y - 18. Let h(s) = -2*s + 35. Let m(w) = 11*a(w) + 6*h(w). Calculate the least common multiple of (-2)\/(-5) + (-180)\/(-50) and m(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5203 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -142535544 divided by 943944?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1694 + 1204. What is the common denominator of -5 + (-5 - z\/72) and -55\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*n + 6721 = -658*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 6 = o. Let v = -1 + o. Suppose 0 = -4*j + 2*f - 6, -5*f = -f - 12. Solve -2*y + v = 0, 2*y + j = -h + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 4*o + 56 + 40, 2*o + 2 = 0. Let n = 229\/5 - r. What is the second biggest value in 0.2, n, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-26)\/(-7) + -2 - 2. Let n = 9 - 7. Which is the nearest to l?  (a) 2\/7  (b) 1\/5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1244 bigger than -1814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-4)*-1*(-88)\/462. Sort -8, f, 6, -1\/4.\nAnswer: -8, -1\/4, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1954428 by 371.\nAnswer: 5268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of 26 and 20.7.\nAnswer: 46.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 762711 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.1 + 202.1. Let f = 199.0000244 - w. What is f rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.4, 379.3, 32, 0.2 in increasing order.\nAnswer: 0.2, 0.4, 5, 32, 379.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(1900)*2*-1)**2 - ((-4*sqrt(684))**2 + -1 + sqrt(171)).\nAnswer: -3346 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are -21 and -2\/763 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/17205 and 117\/40?\nAnswer: 137640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 32119 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of 0*g**2 + 0*g**4 + 4*g + 4 + 0*g**3 - 2\/5*g**5. Find the first derivative of n(y) wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -6*j - 3. Let a(z) = 2*z + 1. Suppose 13 = 5*r - 7. Suppose -19 = -c - 17. Suppose 10 = c*f - 12. What is f*a(i) + r*y(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -839 <= -839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 17 - 56. Let n = 13 + v. Suppose -2*u = w + 3*u - 68, n = 4*w + u - 329. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -152, -156, -166, -188, -228, -292, -386?\n\"Answer: -w**3 + 3*w**2 - 6*w - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 3*t + 1 + 4, 30*y - 26*y + 5*t + 14 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 564 - 563.6. What is the nearest to 0.1 in 3\/4, -1.8, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 = -4*h + 232. Solve 0 = 6*l - h*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + 1. Let v(s) = 9*s**2 + 9*s - 36. Let h(u) = -u**3 - 18*u**2 - 18*u + 71. Let m(q) = 3*h(q) + 5*v(q). Let d(t) = -m(t) + 6*p(t). Factor d(z).\nAnswer: 3*(z - 1)*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -26 + 26. Suppose -o + 427 - 424 = u. Let n(b) = b**3 - 3*b**2 + 2*b. Calculate n(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 3*o**2 + 4*o + 5. Let k(n) be the first derivative of n**4\/4 - n**2 + 3. Let m be k(-2). Let i be g(m). Solve 0*p = i*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 27, 6, -29, -78, -141, -218?\n\"Answer: -7*f**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52, 70, 102, 154, 232?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 - 3*j**2 + 3*j. Let o be r(-4). Suppose -4*d = 5 + 7. Let p = o + d. What is the highest common factor of 11 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*y - 4*y - 165. Let x = 13 + -7. Calculate the smallest common multiple of x and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 539a - 1?\nAnswer: 5399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 661082981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1184094, 1184095, 1184096?\n\"Answer: i + 1184093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 134377 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 12 + -19 + -6 + 1 + 6 + -17.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.41793117 - -7895.\nAnswer: 7895.41793117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 339 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 280 - 86 + 568 - 84 - 199*f.\nAnswer: -199*f + 678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4171 by -97.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 52\/13144203 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 53.79041m?\nAnswer: 53790410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 4*l + 8, l + l = -3*c + 4. Let s(a) = c*a**2 + 4*a**2 + 0 + 0. Let i(n) = n. Give s(i(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -175*h = 220*h - 11678 + 34193 for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154547828.\nAnswer: 2, 67, 576671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.110521*0.3\nAnswer: -0.0331563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -24*j. Let g be c(1). Let l = g - -36. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5607729 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 + 7 + -12)\/(1\/3). Which is the third smallest value?  (a) 1  (b) 5  (c) p  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 9:03 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, -32\/3, -6.2, 18?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*z**3 + 5*z + 36 - 18 - 18 - 222*z**5 + 44*z**2 + 316*z**5 wrt z.\nAnswer: 5640*z**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 5*o - 1416 = 0, -a - 47 = 3*o - 401. Let s = -227 + a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2307888 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**2\/2 - 218*p - 7123\/2 = 0. Calculate p.\nAnswer: -419, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 18545\/2  (b) 4\/3  (c) -11  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/((x**(-2)\/x)\/x)*x)\/x*x*x\/(x*x**(-16))*(x\/x**(-15))\/x**(-3\/13) assuming x is positive.\nAnswer: x**(497\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**30*z*z**(5\/4)\/z assuming z is positive.\nAnswer: z**(125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.4 + 0. Let s = 0.14 - 1.14. What is the second biggest value in s, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*g + 15 = 47*n - 50*n, 13 = 3*n - 2*g for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.92915 + 0.07085. What is the closest to 10 in 1, f, 1\/4, -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29 is divided by -3 + (-19)\/(-1) + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(50\/6) + (-132)\/(-20). Solve -s + 2 = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(847)*-6 - sqrt(847)) + 2)*-1 - ((sqrt(847) + sqrt(847) + (-2 + sqrt(847) - sqrt(847)) - sqrt(847)) + sqrt(847) + -3)*-5)**2 + 5.\nAnswer: -10098*sqrt(7) + 245517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -0.1, -1.2, 3, -2 in increasing order.\nAnswer: -2, -1.2, -0.1, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*p + 180 = -5*t + 141, -3*t - 3*p = 30 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 38 + 3. Calculate the highest common divisor of y and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3*w + 8 = 0. Let t be (-12)\/w - 11337\/(-3). Suppose 5*g - 5*m - 1159 - t = 0, 4*m = -5*g + 4953. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 244, -3, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1108?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-5)*((-9 - (-27 + 14)) + -7). Which is the nearest to -2\/7?  (a) -0.2  (b) 1.3  (c) v  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*x = -6 - 33 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 7*q. Let b(k) = -k + 9. Calculate m(b(v)).\nAnswer: -7*v + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/7*(-7)\/1. Suppose 0*c - p*c + 7 = -m, -1 = 2*c + m. Let u(k) = -3*k**3 - 130*k**2 - 168*k. Let n be u(-42). Sort c, -5, n, -2 in descending order.\nAnswer: c, n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0491 - 0.05. Round x to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 8*l + 13. Let y be (-3 + 6)\/(-9) - 17\/3. Let q(p) = 4*p + 7. Determine y*s(b) + 11*q(b).\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + 0 + 0)*(4*p**3 + 9*p - 3*p**3 - 2*p).\nAnswer: -3*p**4 - 21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -2*s**2. Let v(r) = r**2 - 5. Let b(f) = -2*f**2 + 14. Let j(p) = 5*b(p) + 14*v(p). Determine t(j(z)).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -97\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -82\/1626915 and 59\/114.\nAnswer: 61822770","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*w - 25 + 865. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11641758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**3 - 10*q**2 + 15*q = 0. What is q?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 15 - 4 = v, 4*v - 5*i - 31 = 0. Solve 0 = r - v + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 + 11*c + 24. Let y be h(-6). Let k(t) = 6*t + 9. What is k(y)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 36, 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*x = 40*x + 112 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 5737692315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1921235725.\nAnswer: 5, 76849429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*q**2 + 93*q + 1 - 11*q**4 + 115*q - 211*q + q**3 to i*q**3 + f*q**2 + l + r*q + o*q**4 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-163)\/(-15) + 4\/30. Suppose -m - 8 = -r. Calculate the greatest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (((-45)\/(-2))\/((-48)\/64))\/(-1). Suppose 2*q - 5*m - 102 = g, 5*q - 2*m - 372 = 0. What is the highest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -86 + 87. Let b(h) = h**2 - 4*h + 4. Let i be b(4). Suppose k - i = -0. Solve 4*y + x = l - 0, -4*l = k*y - 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*o + 20 = -20*o. What is the second derivative of 3*c**5 + 3*c - 4*c**o + 7*c wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 1528*y - 7733. Determine l(5).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s = -s + 21. What is the closest to -1\/6 in s, -2\/9, 0.07?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 697  (b) -42913\/3  (c) -0.2  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 4*k - 20 = 0, -k + 2*k = 0. Solve -4*b - 36 = 5*i, -t*i - b - 20 = -0*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of 4*a**2 - 2\/3*a**4 + 2 + 3\/2*a**3 + 39*a - 1\/20*a**5. Give t(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 170123037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + w - 5 = 0. Suppose 5*g = 7 - 27. Sort w, -3, g in ascending order.\nAnswer: g, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -27 + -2cfab?\nAnswer: -2cfd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 1 + 29. Solve -c*s - 11*s**3 + 33\/2*s**2 + 5\/2*s**4 + 2 = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 945555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (2 + 6 + -42) - (56 + -42).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*2\/3*(-22)\/165*3.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 24*r**3 - r**2 + r + 1. Let x be (-21 - -6 - -3) + 11. What is c(x)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1282141, -2564287, -3846441, -5128603, -6410773, -7692951?\nAnswer: -8975137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + -13251887?\nAnswer: -13251884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of t**3\/3 - 3*t**2\/2 + 9. Let r(x) = -2*x**2 + 7*x. Let g(m) = 14*o(m) + 6*r(m). Let f(s) = -2*s**2. What is f(g(k))?\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 4*v + 14, 0 = -2*m - 2*m - 2*v - 12. Suppose -17 = 3*g + 5*p, p = g - 4*g - 1. Which is the second biggest value?  (a) g  (b) 4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 4*r - 292, 0*r - 4*r - 844 = -3*g. Suppose 5*x + 251 = g. Solve -x*i + p = 30, -40 = 5*i - 5*p + 2*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -7 + ((-231)\/(-33) - 55*-34).\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21 and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 o, and 1 j when three letters picked without replacement from djejowo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2. Let i(t) = 315455*t + 59. Give i(s(b)).\nAnswer: 630910*b**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 76\/845?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -65796.62 rounded to the nearest 1000?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + -146356?\nAnswer: -146352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 3*z + i + 49 = 0, 3*z - 72 = 3*i. Suppose -5*q + z = 5. What is the first derivative of 1 - 6 - s**4 + 0*s**q wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 598044 and 5358.\nAnswer: 28108068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2 = 2*v + 2*v, 2*v - 10 = 5*l. Suppose v = 3*g - 3*j + 3, 0 = -5*g - j - 1 - 4. Let q(m) = -12*m**3 - m - 1. List the prime factors of q(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 - 105*b - 1204. What is the least common multiple of o(140) and 504?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 759766480 to the power of 1\/2, to the nearest integer?\nAnswer: 27564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 18 = -g, -2*g + 2*m + 16 = 4*m. Suppose t - 4*u = -2*t + 17, 4*t = u + 14. Let z = 11979 + -11977. Solve 3*r + d = -2*r, t*d = -z*r - g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 2 - (7 + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 7, l: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4301)\/935)\/(2\/(-10))*-1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(228) - (sqrt(228) - (sqrt(228) - (sqrt(228) + (sqrt(228)*-1 - sqrt(228)))))*-5)\/(3*sqrt(48)))**2.\nAnswer: -76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 16*f - 30. Let h be w(2). Suppose 16*n - h = 110. Solve -9*d - n = -52 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + 2 - -3)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 - -9. What are the prime factors of 32 + c + 1 + -3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172640233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 481*1\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 - 10*r - 3. Let n(c) = -4*c**2 - 5*c - 1. Let k be n(-2). Let o be y(k). Suppose -i + 5 = -o. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 746709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1350 and 39960?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6746.\nAnswer: 2, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 7:41 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1709 - -795?\nAnswer: -914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110211012 (base 3) to base 12.\nAnswer: 54ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -51682, -51597, -51502, -51391, -51258, -51097, -50902, -50667?\n\"Answer: w**3 - w**2 + 81*w - 51763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -222 greater than 164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(((12\/16)\/3)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -10476 to the nearest 100.\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -6*i**3 + i**2 + 2*i + 1. Suppose -13 - 14 = -s. Let p = 26 - s. Let u be h(p). Solve 0 = 2*c - u*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fyf when three letters picked without replacement from {f: 2, y: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 135324 and 1319409.\nAnswer: 5277636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of d**6\/105 - 6*d**5\/35 + 11*d**4\/42 + 100*d**3\/7 - 900*d**2\/7 - 15*d + 20. Factor r(c).\nAnswer: 2*(c - 6)**2*(c - 5)*(c + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(14\/3)\/(c\/(c\/(c\/c**(2\/29)))))**24)**(-4\/3) assuming c is positive.\nAnswer: c**(-10400\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -663063229 + 663063236.08998962. Let m = 7.09 - y. What is m rounded to seven decimal places?\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r. Let c = -35 + 38. Let x(b) = 105 - 94*b + b**2 + c*b**2 + b**2 + 300. Let u(n) = 4*s(n) + x(n). Let u(y) = 0. What is y?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.8 + -1.2. Let d = -8.1 - h. Which is the closest to d?  (a) 0.4  (b) -1\/6  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 142 - 270. Let d = -70 - t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3*s**2 + 58*s + 26. Let f be m(20). What are the prime factors of 17*(f\/(-4))\/(4\/8)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 88432, 89197, 89962, 90727?\nAnswer: 91492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -506 by 1.\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -167 + 167. Let b(j) = j**3 - j**2 - j - 18. Give b(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 AM and 4:00 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + 39*z**2 - 7*z + 256. Give g(39).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15556 + -15557. Let d(k) be the second derivative of k**4\/4 - k**3\/6 + k**2\/2 - 2*k. Let b(p) = p. Give t*d(w) - b(w).\nAnswer: -3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 188*z**2 + 107*z - 2049. Is q(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 137772.923 - 137831. Let m = -0.077 - z. Let f = 57.9975 - m. What is f rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 657*i = -656*i + 8, 6 = -3*i. Which is the biggest value?  (a) j  (b) 2\/19  (c) -1\/428  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -3*k - 1. Let z(b) = 8*b - 3. Determine 4*o(d) - z(d).\nAnswer: -20*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -185947 < -185949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 66892*m + 200673. What is z(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2013 (base 7) to base 16.\nAnswer: 2b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - p - 46. Suppose -12 = 9*x - 7*x + l, 0 = -4*x + 4*l - 36. Let z be n(x). Solve -13*o + z*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + ((8\/18)\/(-2) - 749101\/(-104427))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 3*-4*(sqrt(242) + 2 + sqrt(242))*6 + -1 + -5 + 2)**2.\nAnswer: 481536*sqrt(2) + 5041216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 - (109 + 8 - 35).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2 times -5.462?\nAnswer: -6.5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.44 - 1.44. Let w = 24\/11 - 190\/77. Let d be (1 + 0 + -2)*4. Which is the nearest to y?  (a) w  (b) d  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13596726)\/(-68211)*12\/(-26)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 3:50 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {w: 5, e: 1, h: 1, i: 2, q: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (4 - 4) + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(-2)*r)\/(r\/(r\/r**(1\/7))))\/((r**1*r)\/r)**27)\/(r**(-6)*r*r*(r*r*r*r**6)\/r*r\/(r\/((r\/((r\/r**1*r)\/r))\/r))*r**2) assuming r is positive.\nAnswer: r**(-204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**6 + n**3 - n + 1. Let s(h) = 16*h**6 - h**4 - 4*h**3 - 18*h**2 + 4*h - 4. Let a(w) = s(w) + 4*v(w). What is the third derivative of a(j) wrt j?\nAnswer: 1440*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 219168 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 - 9. Suppose -3*o - m + c = -3, m = 2*o + 1. Solve o = -2*t - t + 5*f, 2*t + 3*f = -7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -213341 + -11?\nAnswer: -213402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 3*i + 50 = 0. Suppose -2*w = -8*w + 6, w = -4*g - 179. Let m be 97 - (-9)\/(g\/i). What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*a**5 - 8174798*a**4 - 13039831*a**2 - 2*a wrt a?\nAnswer: -120*a**2 - 196195152*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 81, -4, 2313, -1, -2, 8 in ascending order.\nAnswer: -4, -2, -1, 1, 8, 81, 2313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 5*d = 15552, -7*p - 3888 = -8*p - 5*d. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/(-441))\/(11\/(132\/8))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.023172 to four decimal places.\nAnswer: 0.0232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (1 - 10)*(-9 + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and 66.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1988*c**3 + 167014*c**2 + 3508680*c + 38808.\nAnswer: 2*(c + 42)**2*(994*c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78934 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39.67727l to millilitres.\nAnswer: 39677.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -789 divided by 35\nAnswer: -789\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccdc when four letters picked without replacement from cccdccd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12549 is divided by 3137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from dlddlqllddddlloblb.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 78472712 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 781392 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 32, 42, 52, 62, 72?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20873468155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of 0*y**5 + 0*y - 2\/105*y**7 + 0*y**3 + 0*y**4 + 0 + 1\/30*y**6 + 3*y**2. Factor a(b).\nAnswer: -4*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1440398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 44*u - 26*u + 31*u + 14 - 10 + 17*u**3 in the form b*u**2 + i*u + c*u**3 + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/1*(11 + 95 + -31) + 19?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84006977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -10*s + 8. Let j(m) = m - 1. Let x(l) = -2*f(l) - 14*j(l). Let w(v) = 17*v - 5. Calculate 3*w(i) - 8*x(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3588 is divided by 358.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x + 1. Let a be v(1). Suppose 3*j - 26 = -b - 107, a = -4*b + 12. Let z = -22 - j. Solve 3*d = -i - z, 4*i = i + 5*d - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3475 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 3 u when four letters picked without replacement from eeuhueueuueuuhu.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (10\/(-40))\/((-1)\/28). Suppose 3*g - 3*f + 6 = -6*f, -4*g - f + o = 0. What is the remainder when 4 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {t: 6, u: 2, g: 3, z: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2. Let w(z) = -92399967*z. Calculate h(w(s)).\nAnswer: 8537753901601089*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) -5  (c) 4  (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -40236 + 65927. Does 153 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8267, 8204, 8111, 7988?\nAnswer: 7835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (4 - -27)) + -1 - -46\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 2:42 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1108, 2215, 3322, 4429?\n\"Answer: 1107*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of 16*y**3\/3 + 3*y**2\/2 + 168*y + 201. Differentiate w(i) with respect to i.\nAnswer: 32*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (a - a - a**2)*(3 - 3 + 3*a) + 4*a**2 - 2*a**2 - 2*a**3 - a**3 to the form k + z*a**3 + u*a + p*a**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 329 a factor of 900802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 964726319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 - 4*n**2 - 2*n - 6. Let r be s(-4). Let k = r + -1. Sort k, -4, 2 in descending order.\nAnswer: 2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 - 7 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10432156 (base 7) to base 8.\nAnswer: 3333276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 - -3. Let o be 2\/(12\/(-15) - -1). Calculate the remainder when (33\/15 - -1)*o is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - 0 - (-4716)\/2489. What is the second biggest value in 9, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 156 and 124?\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-2 - (1 + -5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-210)\/(-56)*8\/6. Suppose -4*s + 6 = -2*s. Let c = s + -3. Solve c = -w - 0*w + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1118845 by 12295.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21050, -42143, -63236, -84329, -105422, -126515?\nAnswer: -147608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 - 2*r - 5. Let q be v(-7). Suppose u + 25 = q. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 3815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-660)*(-90)\/(-48)*2824\/(-18) + 4.\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 5:19 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2907 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: a0 (base 11) to base 12\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 + 94. Let f = -67 + 158. Suppose 2*b = 3*x + 41, 5*b + 5*x - f = 24. Calculate the remainder when z is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**2\/19 - 542*b\/19 = 0. Calculate b.\nAnswer: -271, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of -9*b**2 + 0*b**4 - 5\/2*b**3 + 0*b + 0 + 7\/30*b**5. Differentiate a(p) with respect to p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = y - 133, 3*g - 81 = -2*y + 182. Suppose 1358 = -27*u - 1828. Let h = u + y. Put -1, h, 5 in decreasing order.\nAnswer: h, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 28000\/(-2100)*(-9)\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14867049913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 2462 divide 455470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -5+-67.259\nAnswer: -72.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -69\/2 + 211\/6. What is the closest to x in -0.4, 3, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 93095085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 AM and 12:00 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 21. What is the greatest common divisor of s and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 8330.487g?\nAnswer: 8330487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 + 63*h - 790. Let s be j(45). Put 36, s, -2 in ascending order.\nAnswer: -2, s, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -5, -1, 2\/9, 0.211?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.147 - 0.053. Do -0.07 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1027 - -2490. List the prime factors of m.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/460 and -43\/20305.\nAnswer: 1868060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 133 + 40541552?\nAnswer: 40542125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(3\/2)*l)\/(l**9\/l))\/(l*l\/l**(-9))**(-3) assuming l is positive.\nAnswer: l**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - w**3 - 41 + 2)*(-15 + 20*w + 15).\nAnswer: -20*w**4 - 980*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*g - 3*g**3 - 129*g - 366*g + 5*g**3.\nAnswer: 2*g**3 - 510*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18228, 36454, 54680, 72906, 91132?\nAnswer: 109358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -315 + 516. Calculate the lowest common multiple of (-3 - 16\/(-6))*-9 and v.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p - 43. Let j be m(-24). Solve -2*g - 2*z = 2, -1 = 3*g - 0*g + j*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y + 21. Let l(x) = 11*x - 2. Let j be l(-1). Let a be b(j). Let m(w) = w**2 + 3*w - 6. Calculate m(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*d**2 + 19579892*d - 29369856.\nAnswer: 4*(d + 2447488)*(2*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 5 = 1. Suppose -3*y = -0*y + o*s - 7, -s - 14 = -2*y. Suppose -10*v + 5*v - y = 0. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 424615419 + 4031\nAnswer: 424619450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 588\/70*5\/(-4). What is the closest to h in 1\/2, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (11*x**2 + 15*x**2 + 75*x**2)*(0*x**2 + 3*x**2 - 2*x**2) in the form b*x + n*x**4 + i + g*x**2 + d*x**3 and give n.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 2*s - 3*k, 3*k = -5*s + 3 + 8. Suppose 0 = 3*w + 12, -7*z + s*w = -3*z - 8. Put -4, -5, z in increasing order.\nAnswer: -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2*n + 5*n, 3*a = 3*n. Let w = 10 + -5. Factor 1\/2*k**w + 1\/2*k**2 + n + 3\/2*k**4 + 3\/2*k**3 + 0*k.\nAnswer: k**2*(k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34 + -55 + 26 + -18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, 1, 4, -2, 16 in decreasing order.\nAnswer: 16, 5, 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 2 + 4. Let b be (-12)\/(-9) + 4\/q. Suppose -28 = -b*w + w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 11*a**2 + 526*a - 83. Calculate j(-48).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -3*n + t, -15*n + 14*n - 4*t + 2 = 0. Let j be (-3 + (-13)\/(-5))*-5. Solve -q = -j + n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1329.1 + 1328.1. What is the biggest value in -3\/5, -0.08, h?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n + 2*n + n + (0 - 2 + 1)*(-2*n + 3 - 3) - 6*n + 8*n - n to the form j + p*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19580 and 4840.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 73079 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10*j**3 - 452973*j*w - 6018*w - 697 wrt j.\nAnswer: 30*j**2 - 452973*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1726173.81 - -1726165.8099971. Let j = o + 8. What is j rounded to seven dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 PM and 6:03 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of 5\/2*t**2 + t + 2. Let h(a) = -a**3 + 3*a**2 - 23*a + 6. Let w be h(0). Let m(l) = 6*l + 1. Determine w*m(d) - 7*r(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 14 and -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 147 divide 64222095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -478 + 485. Suppose -4*s + 8 = 0, 1146 = y*u - 5*u - s. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 23847 from -4279479.\nAnswer: -4303326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 5*k**2 - k - 2. Give u(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16?  (a) 0.373  (b) 5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2111 + -202?\nAnswer: -2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -75bc1 (base 14) in base 3?\nAnswer: -112110212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -7*((-117)\/7 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/25, -0.5, -168, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 5:42 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3273660 divided by 9.\nAnswer: -363740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence clyw when four letters picked without replacement from lrwylcyyyc.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*4\/(-8))\/((-12262)\/104227)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.46  (b) -0.3  (c) 1.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -42 divided by 76\nAnswer: -21\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 10007.56 nanograms?\nAnswer: 10.00756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, j: 3}. Give prob of picking 1 b and 1 j.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**3\/7 - 404*q**2\/7 - 2144*q\/7 + 2544\/7.\nAnswer: 4*(q - 106)*(q - 1)*(q + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -716584 by 11.\nAnswer: -65144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-726)\/(-10527) - 642\/58.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 28055 or 28022?\nAnswer: 28022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 3*p**3 - 48*p**2 + 126*p - 294. Is m(59) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/43700 and 81\/24472?\nAnswer: 611800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 + 2*x**2 + 8*x + 4. Suppose -14*b + 8 = -12*b. Let w be u(b). Suppose 2*s = -2*h + 300, -s - s = -w. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 18749*h**3 + 3*h**2 + 5*h - 4. Let r be y(4). Round r to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of m**4\/12 + m**3\/2 - 5*m**2\/2 - 21*m. Let q be d(-4). Let i = 185\/2 - 933\/10. What is the nearest to q in -4, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 174, -0.08, 291, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19287958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3900 is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1768*z + 1779*z + 99 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (((sqrt(144)*-1 - sqrt(144))\/sqrt(4) - sqrt(36))\/(1*sqrt(1728)) - (-2 + sqrt(363)*-2 + 3)).\nAnswer: -5 + 87*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ziw when three letters picked without replacement from {y: 1, v: 1, i: 7, w: 2, z: 1, k: 2}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 760017163 to the nearest integer?\nAnswer: 27568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1897?\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*i - 0*i. Are -2 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -8, -7993958 in decreasing order.\nAnswer: 4, -8, -7993958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*k**2 - 100*k**2 - 8*k**3 + 22*k**2 + 2*k**3 + 27*k**2.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 0. Let j = -1.98 + -0.02. What is the third biggest value in p, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14007 and 406?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -3*w**2 + 14*w - 7. Let i(a) = a**2 - 5*a + 2. Let z(k) = -17*i(k) - 6*t(k). What is the smallest common multiple of z(0) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*c + 0*c + c**2 - 3*c**3 + 1 + 5*c + 5*c**3 in the form d*c + x + o*c**2 + q*c**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 less than -8070726753?\nAnswer: -8070726757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a\/((a\/(a\/(a\/((a*a*(a**(2\/5)*a*a*a)\/a*a)\/a))))\/a))\/a*a**(-2\/11)*a)\/(a**(-1))**45)**30)**(1\/14) assuming a is positive.\nAnswer: a**(8286\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 105827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1219 - -1164 - (0 + -8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 0 + (-3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -541, -2167, -4877, -8671?\n\"Answer: -542*q**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 15080 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**0*r**(-1\/3)*((r*r**(-1\/7))\/r)\/((r*r**(-6)*r)\/r))\/((r**(2\/5))**35\/((r**(-1)\/r)\/r)**(-1\/36)) assuming r is positive.\nAnswer: r**(-235\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1000 and 680750.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 6 = 4*a - 5*t, -4 = -4*t. Let o be 6\/(-4)*(-7 - -9). Let j be 3\/(-12)*10 - o. What is the nearest to -1\/4 in -0.5, j, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9520*o + 37955*o + 46440*o.\nAnswer: 93915*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 29130 and 61173?\nAnswer: 611730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67, 140, 213, 286?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-3*4\/24). Let c = s + 7. Suppose 2*y = -3*v + 4*y + 131, -c*y + 231 = 5*v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3795 + 3805. What is the nearest to 13 in o, 2\/21, 4, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -19\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 6, s: 5, f: 3, c: 1}. What is prob of picking 2 g and 1 s?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 5 = 3*y + 2, 2*y = -c + 2. Let s be (2 - (-2 + 3))*c. Suppose 12 = 2*t - s*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 12 = -h - 2*h, 3*k + 2*h = -19. Let i be (-33)\/33 + k\/42*-54. Determine u so that 0 - i*u**3 + 16\/7*u**2 + 4\/7*u = 0.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58888081 + 58888077 - 17*g**2 - g**2.\nAnswer: -18*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ackin. What is prob of sequence cank?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.67 + -0.39. Let k = -5.28 + d. Let r(m) = -4*m**3 - m - 1. Let g be r(-1). Which is the smallest value?  (a) g  (b) 1\/3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4210 and 1.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -137, -149, -161?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 - 6*l**2 + 11*l + 9. Let p be (4 + (-19)\/3)*3\/1. What is i(p)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14.82 + -15. Let l = 0.12 - y. Which is the second smallest value?  (a) l  (b) -3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/z**6*z*z\/(z\/(z*z**(1\/2)))*z*z**(-2\/17)\/(z*z\/((z\/z**(-2\/3)*z)\/z*z)*z) assuming z is positive.\nAnswer: z**(-199\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 411 = -249. Suppose -23*k - 267 = -20*k - 3*r, -5*k - 4*r = 427. Let d = j + k. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/38 - 6550\/950. Let m(k) = -10*k**3 + k**2 + 7. Suppose -3*l = -j - 21, -5*l + 6 + 13 = j. Let p(z) = 9*z**3 - z**2 - 6. What is j*m(h) + r*p(h)?\nAnswer: -3*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, y: 3, v: 1, t: 5}. Give prob of sequence tv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = q + 3*q. Suppose -90 = -5*k + 125. Suppose q = -s + k. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -544*z - 902 = -555*z. Solve 71*w = z*w + 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -7*z**2 + 8*z + 6. Let y(f) = -7*f**2 + 7*f + 5. Let v be 4\/10*60\/(-4). Let p be (-1)\/1 - -6 - 0. Let c(o) = p*g(o) + v*y(o). Factor c(k).\nAnswer: k*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27.47 - -26.3. Let v = h + 1.07. Which is the second biggest value?  (a) -0.5  (b) 2\/7  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1437 - 0.141933. What is r rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by 8\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 34*q - 168. Let d be j(28). Let g(h) be the second derivative of 4*h - 5\/12*h**4 + 1\/20*h**5 + d + h**2 - 7\/6*h**3. What is g(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 71889931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -4 - y - 57*y**2 + 197*y**2 - 83*y**2 - 2 - 56*y**2. Suppose 4*j + 7 = 47. Let c be g(j). Calculate the highest common factor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/13, -2\/105, -7843 in ascending order.\nAnswer: -7843, -2\/105, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, -44, -122, -200, -278, -356?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36337 + -36336. Suppose -3*y + 6 = -0. Sort u, -14, y in descending order.\nAnswer: y, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22445183 is divided by 7481717?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -121523 + -452?\nAnswer: -122415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 2*p = -3*p - 1, 0 = -3*h - 5*p - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(125) + -3 + (sqrt(125) - (sqrt(125) + sqrt(125) + sqrt(125)*-1 + 1 + sqrt(125))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/4))**(1\/27))**(1\/5) assuming h is positive.\nAnswer: h**(-1\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 - -9. Suppose -3*i + 0*i - y = o, -4*o + 4 = i. What is the remainder when 4 is divided by ((-6)\/5)\/(i\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -6*g - 5*y + 20, -12 = -4*g - 3*y. What is the nearest to g in -0.4, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (16 + -14)*(1 + (-6)\/(-4)). Let f(m) be the first derivative of -2\/55*m**b - 2\/11*m**2 - 6 + 0*m**3 + 1\/11*m**4 + 2\/11*m. Let f(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 61\/305 + 114\/5. Solve -2*a = -u + 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0017174 to five decimal places.\nAnswer: -0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 - 77*q**2 + 106*q + 513. Let o be i(34). What is o rounded to the nearest one thousand?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 0.5, -50828, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/3)*n)**(-1\/27))**(-6\/5) assuming n is positive.\nAnswer: n**(2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.4, 0, 3\/90766 in increasing order.\nAnswer: 0, 3\/90766, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/211 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -3*u - 5, 9 = -u - 2*u. Suppose 6*l + z = w*l + 15, -5*l + 30 = -z. Suppose -i - 2*r + 67 - 71 = 0, -5*r = 5*i. Are l and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/(u\/(u*u**(-8\/7)\/u)))**47*u\/u**6*(u\/u**(-1\/16)*u)\/u*u)**(9\/8) assuming u is positive.\nAnswer: u**(-9729\/896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -26. Let x = -7 + u. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 8241267, 16482498, 24723731, 32964966, 41206203, 49447442, 57688683?\n\"Answer: y**2 + 8241228*y + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -72.02 - 1.28. Let n = -72.302 + -0.698. Let s = l - n. Which is the third biggest value?  (a) -2\/19  (b) s  (c) -0.5  (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 225?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, x: 14}. What is prob of sequence exxx?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 - -2 - (-2 - -5). Let v = 15.5 - 27.8. Let s = v + 12. Which is the smallest value?  (a) s  (b) 2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 3*w**2 + 59*w - 15. Let z be q(-20). Let r = -51 - -86. Solve 15 = -3*x, z*x = 5*j - 3*j - r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 9:08 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 34 = 5*k, 4*k + 4*h - 61 = -5. Calculate the least common multiple of 2802 and k.\nAnswer: 14010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24004145.\nAnswer: 5, 11, 436439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 207, 211, 215, 219, 223?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 325691406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 27\/2 of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1417 and 858?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes after 8:56 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2868 and -17972.\nAnswer: -17971.7132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 54581*l + 491223. Give j(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 76, 176, 316?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one quarters of a microgram in nanograms?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 1 + 2)*(2*a**3 + 0*a**3 - 6*a**3) as r*a + s*a**2 + x + b*a**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 675798989.\nAnswer: 675798989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -643 (base 15) to base 4.\nAnswer: -112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (7\/7)\/(17\/51)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-381)\/762*(-1 + 1). Sort -2, -3, 60, w, 3 in increasing order.\nAnswer: -3, -2, w, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2914*r - 2913*r + 1 - 1.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4525205919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 - 3*n**2 - 17*n - 39 + (3*n + 5*n - 3*n)*(0*n - n - n))*(-2*n**2 + 2*n**2 - n**2).\nAnswer: 13*n**4 + 17*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5 - (-8)\/2) + 5. Let t(c) = c**2 - 3*c + 10. What is the smallest common multiple of 6 and t(a)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 1, -2\/11, -3226.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 422 (base 6) to base 2.\nAnswer: 10011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 15\/13 + (-166)\/1079. Let u(f) be the second derivative of 0 + 0*f**4 + 3*f - 1\/3*f**3 + 1\/2*f**2 + 11\/10*f**5. Give u(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 18576716\/61 bigger than 304537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10\/4 - 0)*2. Let c = 9 - n. Suppose -x + c + 1 = 0. Let i(l) = -l**3 + 5*l**2 - 2*l + 4. Calculate i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**3 - 2*h**3 + 19*h**2 - 19*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 30\/35*14\/4. Suppose -5*g - 2*p + 27 = 0, -4*p + a*p + 26 = 5*g. Suppose -5*f + x + 137 = -171, 0 = g*f - 2*x - 311. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 1405 = 5*y + 1415, 0 = s - y + 2 - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -231.835451 rounded to one dp?\nAnswer: -231.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(160\/(-35))\/(-8)*(-33)\/12?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 - 9*o**2 - 16*o + 32. What is the lowest common multiple of 368 and x(-7)?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4676581452534 - 52*m**2 + 4676581452534.\nAnswer: -52*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.7 - -0.3. Let u = 0.11 - 0.29. Let h = u + -0.22. What is the closest to -1 in m, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 12982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2. Let i(d) = 4*d + 48. Determine h(i(a)).\nAnswer: 16*a**2 + 384*a + 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 544 less than 535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 2*v + 12 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 144*t + 1. Is a(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -320*q - 1195?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j - 5. Let a be p(6). Suppose 5*h = -0*h + a. Let w = 10 - h. Solve 4*m + l = 10, 0 = w*m - 0*m - 5*l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (180\/16 + -9)\/(9\/24). Solve -l = -j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -292 - -1167\/4. What is the fourth smallest value in k, 4, -0.4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -1296?\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 take away 6049120?\nAnswer: -6049152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 206.8217l in millilitres?\nAnswer: 206821.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**(-9\/5)*(h**(-1\/11)\/h)\/h*(h**2)**(-1) assuming h is positive.\nAnswer: h**(-71\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + (-4 + 0)\/(-2). Suppose o = 5*b - x - 61, -3*x = 2*x + 5. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 1413248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -570*p + 57*p - 713*p - 50*p - 28.\nAnswer: -1276*p - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 4*o + 11. Solve j + o = -0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6, 2\/7, -1, -4, -269\/20 in descending order.\nAnswer: 2\/7, 0, -1, -4, -6, -269\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3*r - 2. Suppose 2*z + 16 = -s, -2*z + 4*z = s + 32. Let y be s\/18*3\/(-2). Calculate a(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -6. What is the units digit of 5 - (m + 6\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-4) - (-2)\/2. Let w be ((-92)\/(-3289))\/(((-91)\/11)\/(-7) + -1). Which is the second biggest value?  (a) -5  (b) w  (c) p  (d) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1932 divided by 2\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence afq when three letters picked without replacement from {e: 1, q: 2, m: 3, a: 3, r: 1, f: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22) - (sqrt(22) + 5*-1*sqrt(22) + sqrt(22)) - sqrt(22))\/(5*2*sqrt(2)) + (4 + sqrt(110)\/(-1*sqrt(810) - sqrt(810)))**2.\nAnswer: -13*sqrt(11)\/90 + 5195\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (42\/(-5))\/((-51)\/(-170)). Put u, -2, 5, -3 in descending order.\nAnswer: 5, -2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, w: 9}. Give prob of sequence wfw.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 23572 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = q - 43, 2*q = 2*o - 224 + 118. Calculate the greatest common factor of o and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1531 take away 0?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11389274173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 1 + 6*i**3 + 1535*i - 57*i**2 - 2*i**3.\nAnswer: 4*i**3 - 57*i**2 + 1535*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 16*z + 14. What is the tens digit of n(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1201 + -1016. Calculate the remainder when 570 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31515 (base 15) in base 11?\nAnswer: a7558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.68 * 2.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 - 9*i**2 - 7*i + 10. Let f be g(-8). Suppose 3*j = f*v + v - 6, -4*j - 2*v = -10. Let r be (-1 - 13)*(-1)\/2 - 1. Solve j = -h + r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(2\/61))\/t*t**17*t assuming t is positive.\nAnswer: t**(1100\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23275 - -52064. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6286\/63 - (-4)\/18. Let h = r - 21. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -0.3, -0.079, 3 in decreasing order.\nAnswer: 3, -0.079, -1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1080*g**2 - 2441*g.\nAnswer: -2160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y + 8*y - 6*y - 5*y**2. Let f be u(-6). Let v = f - -341. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**3 - v**2 - v. Let d(m) = -43*m**3 - 5*m**2 - 5*m + 9. Determine -d(z) + 5*k(z).\nAnswer: 33*z**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.811409 days in minutes?\nAnswer: 12688.42896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 932.2712 - 1113.34. Let a = x - -181. What is a rounded to 3 decimal places?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 597 divide 233640129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.007995 to four dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58522 = 4*t - 38. Let w = -32621 - t. Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1091301852?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {l: 3, t: 6, e: 1, w: 2, n: 6}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 66295712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 104021435?\nAnswer: 104021441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1044*-0.3.\nAnswer: -313.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 118024703 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*l - 2 = 18*l. Suppose 0 = t + 4*t, -l*c = 3*t + 39800. Round c to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -83.142, -0.18, 2\/9 in ascending order.\nAnswer: -83.142, -0.18, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of a**5\/15 - 19*a**4\/24 - 41*a**3\/6 + 3*a**2 - 20. Let p(v) be the second derivative of i(v). Is p(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -673 - 13*i**2 - 79*i**2 - 11*i**2 - 45*i**2 with respect to i.\nAnswer: -296*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**12\/r**(-9))\/(r**(-5)*r*r)**(-2\/69) assuming r is positive.\nAnswer: r**(481\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16 or -110\/7?\nAnswer: -110\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9362 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + (-1)\/(3\/(-9)). Let d = 2 - f. What is the derivative of 3*v**2 - d + 0 + 1 wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2919 - 7*s + 8781 - 2959 - 2903.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5539.766045 rounded to zero decimal places?\nAnswer: 5540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 - -44. Is 66 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1025 + -47?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 + 2*k + 2. What is the units digit of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**2\/q)\/q)**(-12))**(2\/49)*q*q**0*q\/(q**8\/q)*q**(-2)*q**(-2)*q assuming q is positive.\nAnswer: q**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5 - 7)\/(-4)*(24 + 2). Suppose 9 = 3*f - 0*f. Solve -x = -f*g + 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-25))\/((-2)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h**2 - 3*h**2 + 4*h**2)*(5 + 8*h**3 - 5).\nAnswer: -24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/325587 or 1?\nAnswer: -4\/325587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/((-5)\/18) - 3. Let m be (-107)\/g - (0 + 4\/(-30)). Let l be (-48)\/(-20) + (-6)\/15 - m. Is l < 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-4 - -13) + -7 + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 185 and -252.\nAnswer: -46620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4484 and 18848?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 4397 divide 589454454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4*m = -16, 18 = -3*n + 2*m + 3*m. Solve 2*w - n*y = 12, w + 25 = -2*y + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*f + 5. Let p = 17 + -9. What are the prime factors of (p - (3 + -1)) + f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 409720\/259541 - 131\/83. Let h = -237679\/84429 + k. Find the common denominator of -107\/30 and h.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 109 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 48 - 52. Calculate the remainder when ((-32)\/((-16)\/h))\/((-2)\/7) is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -2*u - 5. Solve -2*f + m + 3 = -5, -5*f = -u*m - 25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m**2 - 8*m. Let z(r) = r**2 - r + 1. Let l(p) = -p**2 - 6*p + 6. Let d be l(-7). Let v(h) = d*y(h) + 4*z(h). What is v(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1305 or -1304?\nAnswer: -1305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -2 + (-1*-1*sqrt(363)*-4*5*-2)**2.\nAnswer: 580798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -95 - 168 - 84 - 2*t + t to k + f*t and give k.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -5*b**3 + b**2 + 2*b + 1. Let o be j(-1). Suppose -21 + 6 = -o*d. Factor -10*c**3 + 18*c**d + 6*c + 28*c**3 + 27*c**2 + 15*c**4.\nAnswer: 3*c*(c + 1)**2*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 14 + -19 + (-51)\/(-9). Let y be 14\/3*(-3)\/5. What is the smallest value in -2, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -11*l + 1. Let z = -17 + 16. Is o(z) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 283*h - 3. Let l(n) = -284*n + 4. Let g(u) = -2*l(u) - 3*r(u). Let d be g(1). What is d rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - 48\/20)*-5. Solve -h*m + 4 = 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 52, 54, 56?\n\"Answer: 2*p + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, i: 1, q: 2, w: 1}. What is prob of sequence iq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 - 13*k**2 + 15*k + 10. Let s be w(-14). Find the common denominator of 3 + s - (-32)\/(-14) and 33\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 - 28*v**2 - 197*v - 28. Let t be f(-15). Let q = -0.5 + 1.5. Which is the third biggest value?  (a) t  (b) -1  (c) 16  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -30, -118, -266, -474, -742?\n\"Answer: -30*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*t - 3 = -18*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-12)\/66 + 145\/11. Let v be 14 + (-119)\/(-17) + (1 - 1). Solve -v + a = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3034069586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 5, -1, -31 in increasing order.\nAnswer: -31, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -848, -851, -800, -653, -368, 97?\n\"Answer: 7*n**3 - 15*n**2 - 7*n - 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -13101121202 (base 4) in base 10?\nAnswer: -1906274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1356585 divided by -4.\nAnswer: -1356585\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u\/(u**(-1\/4)*u)*u)*u*u**(8\/7)\/u*u assuming u is positive.\nAnswer: u**(53\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from wrwvwvvwrw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2323 - 12223?\nAnswer: -14550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 8) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8.82 + 9. Let j = 0.04 - g. Let u = -0.196 - j. Round u to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 311515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b - 14. Let u(n) = n + 13. Let y(f) = 2*h(f) + 3*u(f). Let q(s) = -4*s + 68. Let m be q(17). Calculate y(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1236673*l + 618337*l + 618340*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 35*o**3 + 1445*o**2 - 4210*o - 1320 = 0?\nAnswer: -44, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 16  (b) 1\/3  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*l + 10*l = -36. Solve -o + 5*r - l = 0, 0 = -3*o + 2*o - 2*r + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -i*u**2 + 81*i*u + 251*u**2 wrt i?\nAnswer: -u**2 + 81*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - f + 5 = 0, -3*u + u = 5*f - 9. Suppose -u*l = l - 60. Calculate the smallest common multiple of l and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-8) - (-9)\/4. Let z be (6\/(-1) - -2)\/(-2). Suppose j - 4*j + 10 = -z*d, a*j = 5*d + 25. Let c(g) = -g**2 - g - 3. What is c(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**2*n\/(n\/(n\/(n*n\/n**(-25)))))**(-4\/13) assuming n is positive.\nAnswer: n**(96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/((-21)\/(7497\/187))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, k: 2, l: 2}. What is prob of sequence klk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30110 (base 4) to base 8.\nAnswer: -1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 - 2*r - 2. What is the remainder when 16 is divided by w(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -38.3824 and -12.\nAnswer: 460.5888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 13*k**2 - 19*k - 9. Let x(n) = -n**2 - 3*n. Let q(z) = 2*o(z) - 14*x(z). What is the tens digit of q(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {r: 1, v: 1, g: 2, o: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x**3 - 48*x**2 - 199*x - 1. Give i(-6).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/1150350 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 3*f**3 + 16101111*f**2 + 64404408*f + 64404396 = 0.\nAnswer: -5367033, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b - 26. Let v be o(-14). Let p = -3 - -1. Let l be p\/(-7) + 2\/(-7). Solve -v*x = -l*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(180)\/sqrt(4)*-4.\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 14222621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23bb (base 15) to base 12.\nAnswer: 4495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10110011001110 (base 2) in base 4?\nAnswer: 2303032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161245003?\nAnswer: 11321, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 937337 at most 937338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1550*w - 623*w + 37606 = -16160 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + i - 10 = 5*a, -3*a - 5*i = 22. Let z = a + 3. Let f = z - -4. Solve -l - 21 = -5*l - 5*t, -3*t + 12 = f*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 996 - 1068 - (-26 - 0).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -907 - 178627\nAnswer: -179534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 z when four letters picked without replacement from vvzzvvzzhvv?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 23*r**3 - 4 + 3)*(0*r - r + 0*r)*(1 + 2 - 1).\nAnswer: 46*r**4 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of g**3\/3 + 3*g**2\/2 + 4*g - 1. Suppose -7*k - 19 - 2 = 0. Give r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -29689.62 and -137.\nAnswer: -29826.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43308009.\nAnswer: 3, 43, 47, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 5*s + 110 = 0, -f - 3*s + 0 = -14. Let x = f - 11. Calculate the remainder when x is divided by 28\/3 - 7\/21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/48 and -7\/718496.\nAnswer: 2155488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (22\/3 + 1)\/(-5 - (-740)\/111). Solve -7*m + 6*m = 2*u - 2, g*m + 2*u = 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1268531920?\nAnswer: 2, 5, 29, 546781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -177, -331, -471, -591, -685, -747?\n\"Answer: g**3 + g**2 - 164*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 161 divided by 33\nAnswer: 161\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-24)\/(-60)*30\/8. What is the closest to 1 in 5\/7, -1\/3, q?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 568.9 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 397715314*g**2 + 1274706*g - 28 wrt g?\nAnswer: 795430628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -109.69 - -108. Do l and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - 7*s - 1. What is the remainder when f(8) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/4 in -7, -2, 657?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, -8, -78, -202, -398, -684?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/w**(-5))\/w)\/w)\/w**(-6))\/(w*(w**(1\/3)\/w)\/w*w*w)**(3\/11)*(((w*w**(2\/5))\/w)\/w)**(-49)*w\/(w\/w**(-1\/2))*w*w**(-4) assuming w is positive.\nAnswer: w**(3909\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-3) - -4*(-9)\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 o when four letters picked without replacement from loollolooolhllhollh.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/4, 1\/50, 5, 0, 1, 113?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 7*p**2 - 5*p + 11. Suppose 40 + 0 = -5*m. Let h be j(m). Let w = 11 - h. What is the highest common divisor of 36 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29 - -29. Suppose 2*r - 4*p - 28 = a, -2*r = -3*r + 5*p + 23. Find the third derivative of -r*k**4 - 17*k**2 - k**5 + 3*k**2 + 8*k**4 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 4*z - 12, 4*g - 24 = 2*g + 3*z. Let v(o) = -4 + g + 2*o + o - 11. What is v(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 2\/3, -7890, 49?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + -10. Let j(d) = h*d**2 - 3*d - 3*d - 3*d**2 + 3*d - 5. Is j(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from jjjjzjjjjzjzjzjjjjjj.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 39 = 4*b + 5, 0 = 4*f + 2*b - 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c**2. Let v(x) be the second derivative of 443*x**4 - 185*x - 2. Determine v(p(y)).\nAnswer: 21264*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 2*v. Let w(s) = 4*s + 2. Let r be w(-1). Give t(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38 - 37.9. Let k = 289.4 + -292.4. What is the nearest to i in 9.2, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 8, -4*z - 14 = -5*h + 4. Let m(k) = 370*k + k**h - 747*k + 377*k. Let i(v) = -357*v**2. Calculate m(i(s)).\nAnswer: 127449*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1167078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-10) - (-34)\/(-10). Suppose 3*z + 1 + 5 = 0. Let t = 0.1 + 0.1. Sort z, x, t in ascending order.\nAnswer: x, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 69293*d + 213061.\nAnswer: 69293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 125 + -130. Put 0.6, 2\/3, y in increasing order.\nAnswer: y, 0.6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 368*b - 5. Let a(t) = -122*t + 2. Let m(c) = 8*a(c) + 3*v(c). Let z(h) = -3*h. Give z(m(l)).\nAnswer: -384*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, p: 3}. Give prob of sequence pb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + -15. Suppose 0 = -9*w + q*w + 72. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1774, 4098, 6422, 8746?\n\"Answer: 2324*l - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13853600 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 772 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*j + 42*j - 18*j - 15*j + 57*j - 25*j.\nAnswer: 111*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*t**3 + 109*t**3 + 231*t**3.\nAnswer: 315*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 31768 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 - 9*s - 16. Let h be o(-4). Calculate the highest common factor of 10 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 2*i = -6*y - 18, 5*y = -i - 23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 3 = 2*k, -3*k - 69 + 58 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 - 5*h**2 + 8*h - 4. Let s be v(3). Let y(n) = -7*n**3 - 1. Let i be y(-1). Let g = -2 + i. Sort g, s, -4.\nAnswer: -4, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-168)\/784*(-29 + (-3475)\/(-150)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 773550.5 litres?\nAnswer: 773550500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k + 2*t - 30, -304*t + 307*t + 50 = 3*k + 23 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (315\/(-210))\/((-1)\/2). Solve -p + 4 = -2*p, -22 = -5*y + b*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 5*w + g - 5 = 0, -7 = 4*w - 5*g. What is the hundreds digit of (-616)\/(w - -2) - 0\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(0 + sqrt(108) - sqrt(108)) + (-1 + sqrt(108) - sqrt(108))*-6 - (sqrt(108) - (sqrt(108) + -1 + -2))*5)**2 + 2.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 198 = 42. Calculate the lowest common multiple of 3 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 4*c = 0, 2*q - 7 = 4*q + 3*c. Let y(a) = -a - 4 - q*a + 3*a. Is y(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.62 - -7.62. Which is the nearest to 1?  (a) -3  (b) 0.24  (c) l  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3211642, -3211663, -3211696, -3211747, -3211822?\n\"Answer: -b**3 - 14*b - 3211627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 6. Put -7, -0.3, y in descending order.\nAnswer: -0.3, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (1 + 10)) + (32 - (35 + -12) - 86)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1875143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 623*v**3 + 2 - 2 + 684*v**3 + 104*v**3.\nAnswer: 1411*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8258.77 decades to months.\nAnswer: 991052.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 - 9*p - 9. Let y be j(-7). Suppose 3*d = -3*r + 10 + 11, 29 = 2*d + y*r. Let o = 0 - -3. Solve -4*n - d*k = -5*k + 24, -o*k = n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1242484 + 2*o - 1242484.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -5*n**3 + 5*n**2 + 13*n + 27. Let b be l(7). Let g = b - -1957. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.22 and 5.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 129*k**4 - 33*k**4 - 48*k**4 + (-k - 3*k**2 + 0*k + 0*k**2)*(-k**2 + 0 + 0).\nAnswer: 51*k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (63\/(-6) - 0)*(2 + -22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 824?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2204, -7638, -16302, -28190, -43296, -61614?\nAnswer: -83138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that t**2\/3 + 5194*t\/3 + 6744409\/3 = 0.\nAnswer: -2597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23920 and 11685518.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 5:41 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 216 + -213. Let t = -4 - -6. Let r = t - 4. Is r at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -13. Let n(a) = a**3 - a**2 + 2*a + 1. Is 19 a factor of n(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*f + 3*z + 2 - 16, 0 = 4*f - 2*z + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -79*m**5\/20 - m**3\/3 - 39*m**2 - 3*m - 19. Find the first derivative of a(t) wrt t.\nAnswer: -237*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2200 + -2197. Let i(n) = 2*n**3 - 5*n**2 - 5*n - 2 + 3 + 2*n. Let b be i(t). Let v(x) = -5*x**3 + x**2. Calculate v(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1386 times -5?\nAnswer: 0.693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001231 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -128 - 51 - 198 - 6*k**2 - 169 + 354 - 2*k as a + x*k**2 + i*k and give a.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - -7) + -9 + 7. Suppose -2*l - 199 - 557 = -y*w, -2*w + 370 = -3*l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*z - 10*z = 10*z. What is the units digit of (14 + z - -8)*16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1844 - 3687\/2. What is the smallest value in 1\/6, 2\/43, t?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -91 + 90.7. Is -2\/9 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4 and -50018956353.\nAnswer: -50018956352.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.6282859 days?\nAnswer: 54283901760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-16)\/32 + (-1)\/(-4). Suppose -43*v = -6*v + 33*v - 420. Which is the smallest value?  (a) g  (b) v  (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 234990, 234999, 235008, 235017, 235026, 235035?\n\"Answer: 9*f + 234981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - a = 6. Solve 3*v + a*i + 31 = 8*i, -v - i = -3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 97405 and 10079300?\nAnswer: 231823900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -46827389 rounded to the nearest one hundred thousand?\nAnswer: -46800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(-2\/3))\/(((u*(u**(1\/4)\/u)\/u)\/u)\/u))**(-7) assuming u is positive.\nAnswer: u**(-371\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 264427.\nAnswer: 269, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2*m + 29. Let s be b(8). Suppose 17 = c + s. Suppose -3*r + 0*r - x = -210, -273 = -c*r + x. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m - 2857 = -3949. Suppose 2*x = 5*c - 90, 15*c = -4*x + 19*c - m. Which is smaller: -320\/9 or x?\nAnswer: -320\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/1 + (-4)\/(-2). Suppose 5*c - m*c - 6 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b3461b (base 12) to base 4.\nAnswer: 22231111313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 306*s = 7*s + 10465. Solve s*v = 26 + 114 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**3 + 17*l**2 + 71*l. Let n be q(-3). Let w be (-166)\/(-8) - (-1)\/4. List the prime factors of 7\/(w\/n) - (-52)\/1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -3*r + 2. Let d(p) = -3*p + 2. What is 4*d(w) - 3*x(w)?\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 6*j - 5. Suppose 34 - 46 = -3*r. Let k be ((0 + 0)\/(-3))\/1. Solve -2*h + 5*i + 4 = k, r*h - j*i + 2 = -0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, y: 5, l: 3}. Give prob of picking 1 l, 2 j, and 1 y.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.108 - 11.108. Which is the second biggest value?  (a) 0.2  (b) o  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2425621 is divided by 6718.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 AM and 8:30 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 942500 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 147*a**3 - 47 wrt a?\nAnswer: 441*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 129871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -341\/18 or -34?\nAnswer: -341\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2. Suppose -3*t = -6*t - 3*k + 15, 2*k - 4 = t. Let s(b) = t + 0*b**2 - b**2 - 12. Determine 2*s(r) + 11*u(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -8*y. Let g(p) be the third derivative of 0 - 1\/100*p**5 + 9*p**2 + 0*p**4 + 1\/10*p**3 + y*p. Solve g(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*k**2 - 137*k**2 + 62*k**2 - 12760*k.\nAnswer: -137*k**2 - 12760*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 168 = -3*t, -2*d - 211 = 4*t + 39. Is t <= -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 783599882 to the power of 1\/3, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31205 - 31208. Let y(d) = 18*d**3 - 4*d**2 - 4*d - 4. Let r(u) = -19*u**3 + 3*u**2 + 3*u + 3. What is m*y(k) - 4*r(k)?\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 77.868 - 78. Let u = 18.268 - o. What is u rounded to 0 dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 39582\/(-328)*20\/894. Let u = -3108253118\/91635 + p. Let q = -33926 - u. What is the common denominator of q and 47\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/76023096 and 0?\nAnswer: 76023096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wyyyyywyyyyw. What is prob of picking 2 y and 2 w?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*h + 1427 = 1483 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011 - 10000?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.10048335 to 2 decimal places.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - t = -9*a + 25, 15*a - 16 = 13*a - 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 205583656 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 4*x**2 + 2*x + 2. Let g(q) = 2*q + 10. Let n be (-100)\/(-7) - 6\/21. Let r be (n\/(-4))\/(4\/8). Let w be g(r). Determine v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2004*l + 373. What is the thousands digit of c(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15222 - 13?\nAnswer: 15208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 + 5. Let i be (48\/(-60))\/((-2)\/(-5)). Let k = i - v. What is the closest to -2\/3 in k, 1\/8, 1\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*s = -28*s + 29*s - 128 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 442 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -75189717*i**3 - i - 58240649?\nAnswer: -225569151*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -74 - 74 - 208*k + 226 - 81 in the form c + n*k and give n.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 390856 and 10?\nAnswer: 1954280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000010 + -1000000010011?\nAnswer: -1000010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1508901969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1681 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.52 - 24.72. Let z = s + -2.8. Let k = -24.9999915 - z. What is k rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j**4\/9 + 2096*j**3\/9 + 606632*j**2\/9 + 9761440*j\/3 = 0. What is j?\nAnswer: -494, -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2138 divided by -1.\nAnswer: -2138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -7*v**2 + 3*v + 0*v + 8*v**2 - 6*v. Let n be i(3). Solve -g = -n*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*b + 5*q = -34*b + 17, 18933*q - 77 = -6*b + 18920*q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 1 = 2*z, -565*z = -560*z + 49*n + 44 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 6*w**2 - w. Let d(g) = -2*g**2 - 4*g - 5. Let x(s) = s**2 - s - 1. Let j(c) = -d(c) + 5*x(c). Give -3*j(y) + 4*u(y).\nAnswer: 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1993 + 2776 = -326*x - 14139 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 13  (b) 0  (c) -0.004  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2 - 1 + g**2 + 1 + g.\nAnswer: -g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand b + b - 3*b + (-2*b + 5*b - 2*b)*(0 + 0 + 2) + 8*b - 2*b - 3*b + 2*b - 5*b + b + (-4 + 2 + 3)*(0 - b + 0) + 2 + b - 2 + (3 + 0 - 2)*(1 - 1 + b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -165816 divided by 27636\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -376 - 1768. Let k = x - -11275. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*v + 33*v = 399. Let u = v + -399. Which is the second smallest value?  (a) -2  (b) 0.5  (c) u  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*p**4 - 5*p**4 + 3*p**4)*(p - 2*p + 2*p)*(-8 - 29 - 1).\nAnswer: -228*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 7*q + 1. Determine a(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/41  (b) 1\/3  (c) -2\/13  (d) -334  (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -672?  (a) 2\/11  (b) 4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) 5  (c) 0  (d) 29\/10  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20586883 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 10*m**2 - 25*m + 33. Let o = 2902 - 2896. Calculate n(o).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 26, 60, 108, 170, 246, 336?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**4)\/p*p\/p**(-4)*p*p\/p**(-1\/4)*p*p**(-3))\/(p**(2\/11)*p**(-4\/11))**(-11\/2) assuming p is positive.\nAnswer: p**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -67568 at least -64506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 32934887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 + 13. Let b = 159983.49900065 - 159978.499. Let w = b - u. Round w to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/53 in -2, 155, 0, -0.4, 0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 63, 86, 109?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**2 - 1510*d + 3000.\nAnswer: 5*(d - 300)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 119, 379, 811, 1415, 2191, 3139?\nAnswer: 4259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/9 and -67\/164043.\nAnswer: 164043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1937, -1896, -1845, -1778, -1689, -1572, -1421, -1230?\nAnswer: -993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2094 and 14.\nAnswer: 14658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -3*d + 75, -5*d = -2*d - 4*r - 47. Suppose 12*n + 1215 = d*n. Suppose 7*y + 54 = 8*y. Calculate the highest common divisor of y and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31.030593 + 31.1706. Let j = 0.14 - r. What is j rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -21.4 and -0.12765?\nAnswer: 21.27235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, y: 15}. What is prob of sequence ttty?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2\/6 + 12464*w - 233026944.\nAnswer: -(w - 37392)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4282, -17163, -38630, -68683, -107322, -154547, -210358?\n\"Answer: -4293*a**2 - 2*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4096*l**5\/5 - 1266432*l**4\/5 - 22023972*l**3\/5 - 100642932*l**2\/5 - 18294012*l\/5 - 848556\/5 = 0 for l.\nAnswer: -291, -9, -3\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 5, 729, 2, -2 in decreasing order.\nAnswer: 729, 33, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(133)\/(sqrt(14)\/sqrt(2) + sqrt(7)) - sqrt(95)\/(-1*sqrt(80)))*6*-5)**2.\nAnswer: 722475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 3*b**3 - 53*b**2 + 207*b + 16. Calculate o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1428 + 186*j + 530*j + 1428 to f + i*j and give i.\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 8*w**2 + 6*w - 11. Let x(r) = 7*r**2 + 7*r - 10. Let m(i) = -3*s(i) + 4*x(i). Let f(z) = z**2 + 3*z - 2. Determine -14*f(t) + 4*m(t).\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/8)\/(1\/(-8)). Find the second derivative of 3*h**4 + 2*h**4 - 3*h**g + 2*h wrt h.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 635 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 349050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - -6 - (13 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjwlljljjwljwjjj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 21476 divided by 826\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 297, -4, 3, 160348 in increasing order.\nAnswer: -4, 3, 297, 160348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 11030 = 11*w. Suppose 1217 = 20*y - w. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/sqrt(5)*1)\/(sqrt(1008) + sqrt(1008) + (sqrt(1008) + sqrt(1008)*-3 + sqrt(1008) + sqrt(1008) - sqrt(1008))).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84940.\nAnswer: 2, 5, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1308 is divided by 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 244*n - 244*n + 38*n**2.\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.37 + 16.63. Let l = g - 17.4. Let k = -0.1215 + 0.0815. What is the second smallest value in -0.5, k, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*m - 0*m. Suppose -8*n = -5*n + 9. Let c be ((-4)\/3)\/(n*(-2)\/(-54)). Solve -2*y - 12 = -2*d, -y + 7 + c = m*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4401617, -8803233, -13204849?\nAnswer: -17606465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - 10*v**2 + 3*v + 52. Let u be l(9). Let p be -1 + 3 + 1\/(u\/(-44)). What is the highest common factor of p and 600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**2\/2 + 645*a\/2 + 78430.\nAnswer: -5*(a - 253)*(a + 124)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 430609, 861246, 1291883, 1722520, 2153157, 2583794?\n\"Answer: 430637*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 12 = 0, 4*o - v = v + 48. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -734.3 rounded to the nearest ten?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -307*j**3 + 10*j**2 - 13073?\nAnswer: -921*j**2 + 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 34*g**2 + 4*g + 1. Does 12 divide z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 - 73*q**2 - 278*q - 132. Calculate w(-69).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1278 - -1890. Suppose n = 9*o - 3*o. Suppose 2*a = 2*x - 44, -2*x = 2*x + 3*a - o. Calculate the greatest common divisor of 264 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47.89 - 3.59. Let j = 5.6 + -49.6. Let d = j + z. Which is the closest to 3\/5?  (a) 1\/3  (b) d  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3110 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 252012 (base 9) in base 6?\nAnswer: 3133232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from gttppptgtpttttp.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -141 by -2959.\nAnswer: 141\/2959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y**4 + 1363*y**3 - 10091*y**2 + 5565*y = 0. What is y?\nAnswer: 0, 3\/5, 7, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/18)\/((-22)\/66)*14\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*v = v + 24*v + 32*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + 3*k - 5*h - 11, 0 = -2*k - 2*h + 28. Suppose 12*x - 9*x = k. Which is the closest to 1?  (a) -0.1  (b) x  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - x = 4*x - 35, -2*x + 11 = -h. Let b be (-18)\/14 + 2\/7. Let u = h - b. Let p(o) = 2*o + 3. What is p(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of 3*u**5\/5 - 107*u**2\/2 + 574*u. Differentiate x(b) with respect to b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4*d = 30, -10 = 5*q + 3*d + 71. Suppose l + 111 = -2*l. Let c = q - l. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -171\/2*j**2 + 27*j**3 + 87*j + 118 + 3\/4*j**4. Factor d(y).\nAnswer: 3*(y - 1)**2*(y + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1729 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 -5791675 divided by 137.\nAnswer: -42275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 773411005 to the power of 1\/3, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -9. Let k = 9 - u. Let v = k + -6. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -j - 0*j. Let c be ((-2)\/4)\/(1\/(-4)). Suppose -c = -i, j*m + i = m + 68. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 95403650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 106571?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand q**4 - 3*q**4 + 0*q**4 + 2*q**2 + 5*q**4 - 2*q**2 + (-3*q**4 + 5*q**4 - q**4)*(-2 + 0 + 4).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 61501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 4*z + 36, -12*w + 8*w + 2*z = -28. Let m be 4\/1 - (-20)\/(-10). Sort -1, m, 1, w in decreasing order.\nAnswer: w, m, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -204 (base 5) to base 11.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1894640.15 rounded to the nearest one thousand?\nAnswer: 1895000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide ((-32805)\/25)\/((-75)\/375)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = n - 11 + 29, 2*n + 24 = 2*i. Let a(s) = s**3 + 5*s**2 - 2. Let v be a(-3). Let r = v + n. Is 12\/7 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -983*v + 958*v - 8*v**2 - 4*v**2 + 3 - 4*v**2 as z*v + o + p*v**2 and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 7, y: 9}. Give prob of picking 1 y and 1 t.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-15)\/(1800\/16)*3*(-5)\/6. Let i(u) be the second derivative of 0 - 28*u - 3\/2*u**2 + o*u**3 - 1\/6*u**4. Calculate i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00015528848 to 7 decimal places.\nAnswer: 0.0001553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {x: 9, b: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - 0)\/(2\/6). Let l = 51 - 55. What is the closest to -1\/3 in l, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from riikfkiiryyiferkik. What is prob of sequence kekr?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -6*y. Let z = -45 - -44. Calculate v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-26)\/(-12) + 2\/(-12). Suppose -r*d + 15 = d. Solve 0 = 5*z + q + d, -4*z + q - 4 = 5*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 86 and 52206128.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*d**5 + 10*d**3 - 10*d**3 + (2*d**2 + 2*d - 2*d)*((-2*d + d - d)*(d - 2*d**2 - d) - 16*d**2 - 3*d**3 + 16*d**2).\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35411 is divided by 161.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-3*sqrt(147) + ((-1*sqrt(27))\/sqrt(9) - (sqrt(363)*1 + sqrt(363))).\nAnswer: 61*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91*i = 33*i + 27144. Calculate the remainder when i is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -15*x - 4 + 2 + 1 + x**3 - 2*x**2 + 4. Let a be p(5). Is a at most as big as 2\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, 13\/503, -0.2, 2\/5, -0.14, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -1745\nAnswer: 4\/1745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (0 - 1) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -4 - 6. Let c(q) = 2*q**2 + 5*q + 2. What is the units digit of c(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -287 - 3?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -89402417*a**2 + 50950829 wrt a?\nAnswer: -178804834*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s + 12*s = -16*s + 2156. Solve s*m = 42*m + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - 46) + (168560\/129)\/35.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 - 45 + 13 + 13 + 24 + 3*j**2.\nAnswer: 2*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000020388 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9.1 - -8.53. Let b = 127.57 + s. Let g = -112.4 + b. What is g rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 52849*q**4 + q**3 - 758483*q wrt q.\nAnswer: 634188*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (11 - 1245\/105)\/(3376932\/675388 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 times 0.17?\nAnswer: 5.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 + 212*g + 10690. What is the remainder when 2128 is divided by h(-130)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/5 in -29, 0.5, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73448 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 154 + -130. Let j be ((-1)\/10)\/(8 - 195\/c). Factor -3\/5*f**3 + 2\/5*f**4 + 4\/5*f - j*f**2 + 0 + 1\/5*f**5.\nAnswer: f*(f - 1)**2*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -0.9  (b) -0.6  (c) -4  (d) 14\/9  (e) 2\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 59, -16, -834 in descending order.\nAnswer: 59, -16, -834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - w - 12, -w = 4*o + 476. Let u = -18 - o. Is 34 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -2*q**3\/3 + 603. Let k(d) = 65*d**2. Give h(k(x)).\nAnswer: -8450*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104) + (sqrt(104)*-2 - sqrt(104)) + sqrt(104))\/sqrt(8)*-2 + 3.\nAnswer: 3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 106.62, -3\/5, 0.1, -36\/7, -1\/23, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -59631510 divided by -5595?\nAnswer: 10658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 105*o - 29 = 121*o, 6*s + 2*o + 16 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 228954.\nAnswer: 5\/228954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4814 - -11343. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4702 not equal to -1057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((8\/1584)\/(-10*5\/(-900)))\/((-2)\/48)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58 - (27744\/(-34))\/16?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*v**2 + 16 - 16 + 10*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -z**4 - 291*z**3 + 10*z**2 - 7*z + 876085 wrt z.\nAnswer: -4*z**3 - 873*z**2 + 20*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 1 = -9. Let k(x) = -x - 9. Let n be k(-9). Suppose -3*t + m + 17 = n, -2*m = r*m + 20. Solve -5 = -3*o + t*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -821*n + 822*n - 4*m = 10, -138 = 3*n + 44*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 378 a factor of 152334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, i: 2, j: 4, y: 5, g: 2, w: 1}. Give prob of picking 1 w and 1 c.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 9:28 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-6)*k**(1\/2)\/k)**33*(k\/((k\/(k\/k**(-1\/2)))\/k))\/(k\/k**5)*k\/(k*k**(2\/5))*k*k*k**(-6)\/k assuming k is positive.\nAnswer: k**(-1067\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 4655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -186 - 48*g - 58 + 52 - 3*g**2.\nAnswer: -3*(g + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 9:35 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4049.4 + -4047. What is the third biggest value in -7, 0, h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 PM and 1:20 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 400, 546, 696, 850, 1008?\n\"Answer: 2*y**2 + 140*y + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - r - 2*o - 3, 3*r - 5*o = 9. Suppose -h - r*a = -4*a - 1, -3*h + a + 5 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 - 14. Let x = s + -17. Let b be (-2 - -1)*x - -6. Let o(d) = d**2 - 6*d + 3. Give o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 277637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -806 + 806. Let b = 3.2 + -3. Sort x, b, 2 in ascending order.\nAnswer: x, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -604 + 250 + 354 - 99*j.\nAnswer: -99*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 651 and 31589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 1 + 20 = 0. Let t = 173 + -165. Suppose 5*p - 79 = -3*z + t, 0 = -5*z + 3*p + 111. Calculate the remainder when z is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1166996115 to the power of 1\/3, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2342, -7966, -17324, -30410, -47218, -67742?\n\"Answer: u**3 - 1873*u**2 - 12*u - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 7 + 0)*(4*w**2 + w**2 - 3*w**2) as x*w + k + y*w**2 and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-24)\/84 + (-26)\/56. Let w(r) = r + 2. Let u be w(2). Let x be 2\/(u\/3)*1. What is the nearest to -1\/4 in n, 2\/7, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 245354 is divided by 2251.\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + 0.6. Let s = -27.5 - k. Let h = s - -27.999966. What is h rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28364?\nAnswer: 2, 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + (0 - -2) - (-9 + 4). Let j be t + 1 + -4 + -17. Let p(n) = n**2 + 9*n - 2. What is the tens digit of p(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 918, 2604, 7170, 16056, 30702, 52548, 83034?\n\"Answer: 240*c**3 + 6*c + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 2*x - 6*x)*(0*x - x - x)*(2 - 2 - 1).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -152354, -152425, -152542, -152705?\n\"Answer: -23*r**2 - 2*r - 152329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-1\/13))\/t*t)\/t**(1\/17)*t**(8\/3)\/(t*(t\/(t*t**(-11\/4)\/t))\/t*t) assuming t is positive.\nAnswer: t**(-2825\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.178+-0.94653946\nAnswer: -0.76853946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13 + 41. Let k = 11 - 7. Calculate the greatest common factor of d and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25088 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*r - 2*r + r)*(2 - 2 + 2) + 7 - 6 + 0 - 3*r as v + p*r and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence my when two letters picked without replacement from {y: 3, m: 4, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 186.9 + -186.9. Which is greater: 0.234 or d?\nAnswer: 0.234","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31013 (base 6) to base 3.\nAnswer: 12122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 4) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/4))**28*f**(-1\/4)\/((f**(-3)*f*f)\/f) assuming f is positive.\nAnswer: f**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + b**2 - b + 52. Determine p(0).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvuvuuvvv. Give prob of picking 2 v.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 4*i - 6 - 214 = 0, -2*y - 3*i = -113. Let j = y + -52. Let h = 14.1 - 14. Which is the closest to h?  (a) 0.1  (b) -5\/3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 31*g - 558. What is the remainder when ((-36)\/(-6))\/(1\/6) is divided by l(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1.01, 1\/4, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1996829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -363 - -361. Let k be m\/(50\/(-345)) + (-24)\/30. Which is greater: k or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3290466 to the nearest integer?\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 5606760 to the nearest 10000.\nAnswer: 5610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-10)\/1 + -2)\/(-2). Solve 6 + p = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjj. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1659.75119 rounded to the nearest ten?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**(4\/15))**(-2\/45))**(-2))**(-47) assuming c is positive.\nAnswer: c**(-3572\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, f: 3, d: 2}. Give prob of sequence fff.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 2*j + 2*j)*(2 + 2*j - 1 + 2).\nAnswer: 4*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3))**22*f\/((f**2\/f*f)\/f)*f**(2\/7) assuming f is positive.\nAnswer: f**(-460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 28\/79 and -26\/509?\nAnswer: 40211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = 4*b - 11. What is the common denominator of ((-2)\/(-24))\/((-2)\/(-68)) and 255\/b*(-6)\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7379 - (3\/6)\/((-6)\/(-84))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 221057 and 11961?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 49459924 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-70))\/(2*8\/80)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 11*d - 5. Determine a(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.7767 * -12.\nAnswer: 33.3204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 17*q + 231. Suppose 0 = 5*j - 5*h, h + 0*h = 2*j. What are the prime factors of f(j)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41\/20 + -9\/5. Let v = 201 - 210.9. Let j = v - -10. Which is the third biggest value?  (a) -2\/5  (b) j  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11.301 times 26\nAnswer: 293.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 + 7*z**2 + z - 5. Let l be 1\/(2\/(-9)*57\/(-76)). Suppose 11*b = 2*t + l*b - 1, -t + 4*b + 5 = 0. Give i(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 1397 = -4*q, -q = -6*q - 3*g + 1726. Let v be (7 + -2 + -6)*q. Let p = 554 + v. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-2)*g**(-4\/5)*(g**(1\/3))**50 assuming g is positive.\nAnswer: g**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -1099000 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8101655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 33063, 65510, 97957, 130404, 162851, 195298?\n\"Answer: 32447*t + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-518)\/3)\/(34\/(-204))?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 6*x**2 + 6*x - 1. Calculate l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -19*z**4 - 39*z**2 + 896.\nAnswer: -76*z**3 - 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19001*j - 9505*j + j**2 + 3*j**2 - 9496*j + 2*j**3 + 0*j**2.\nAnswer: 2*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) 0.4  (c) -0.4  (d) -2  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3*m - 3*m + m)*(2*m + 0*m - 3*m) + 2*m**2 - 2*m**2 + 3*m**2)*(52*m - 26 - 37 + 66 - 37) in the form a + r*m + t*m**2 + z*m**3 and give z.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (s**2 + 3 - 3)*(-14*s - 3*s + 3*s)*(2 - 3 - 5) in the form k*s + h*s**3 + r + d*s**2 and give h.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/165, 0.091, 3.92?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 0*b - 3*b + 2*b. Let t(n) be the third derivative of 0*n**3 + 0*n**4 - 1\/30*n**5 - n**2 + 0 + 0*n. Determine s(t(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 9 = n + 1, 4*n - 25 = -5*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 8*f - 18*f + 9*f. Let o(s) = 7*s**2 - 1 + 1. What is b(o(n))?\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 - 2)*3\/(-2). Let d(j) = -5*j + 3. Let w(u) = -2*u + 1. Let b(s) = 4*d(s) - 11*w(s). Calculate b(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b - 6. Let l be g(-9). Suppose -l*s + 20 = 2*s. Let q = s + -8. Let u(a) = -a**2 - 3*a + 4. What is u(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 + 14. Suppose 154 = 16*x + 26. Suppose -3*l = q - x, -1004 = -4*r + 4*l. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + -26 + (1 - -1) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/((i**0*i)\/i)*i**2*i)\/(i**0)**(-19) assuming i is positive.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 3:13 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4656.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + 557.7.\nAnswer: 578.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 19*u - 18. Let v be w(4). Suppose -k = -3*k - v. Which is greater: -30 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37078 < -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/245 and 107\/210.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (32 - 39) + -2 + 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**2 - 16*a**2 - 3*a**2.\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*t**3 - 12*t - 12*t**4 + 9*t**4 + t**4 + 3*t**4 - 2 to the form x*t + q + m*t**2 + p*t**4 + a*t**3 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 0*w + w)*(2*w + 13 - 13)*(w - w + 2*w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 + 5. Let l be (-4)\/(-14) + n\/(-21). Is 118\/10 + l\/5 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1051956 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2509*n + 2512*n - 51*y - 627, -5*y = n + 55 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5\/((-10)\/(-8)) - (-2)\/(-1). Let q(b) = b - b - t*b. Let k(d) = 0*d - 4*d + d. What is q(k(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 32\/7 of a week?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -57, -257, -583, -1029, -1589, -2257, -3027, -3893?\n\"Answer: n**3 - 69*n**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1784*a = 919*a + 889*a - 120 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.4 - -5. Let j = 0.7 - -0.3. Let r = j - 0. Put x, r, 0.4 in decreasing order.\nAnswer: r, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 36*n**3 - 1 - 35*n**3 - 7*n**2 + 0 as x + y*n**3 + f*n**2 + m*n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 889463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyhayahyyhfhyy. What is prob of picking 2 h and 1 f?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (200\/16 + -4 - 7)\/((-30702)\/2044 - -15)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -13*o**4 + 6*o**3 + 4*o**2 - 6. Let f be 1\/5 + (-29)\/(-5). Let t(l) = l**4 + l**3 + 1. Let h(p) = f*t(p) + i(p). Find m, given that h(m) = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 673\/2 + (-11)\/(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, -1, -344165 in increasing order.\nAnswer: -344165, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000000001 - 1011?\nAnswer: -10000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1\/2, 6\/5, -21, 56.4 in descending order.\nAnswer: 56.4, 3, 6\/5, -1\/2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 925*g - 55747 = -2153*g + 51822 + 3239 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.08393 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 7:26 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 9, c: 7}. What is prob of sequence cec?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -11.16474 * 4\nAnswer: -44.65896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 49862378 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6675 - 6743. Sort -1, t, 16.\nAnswer: t, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -15 + 5 + -3 + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1215010425 - -4?\nAnswer: -1215010421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1807 and 56985.957798?\nAnswer: 58792.957798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 251163 and 45371?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.96863344 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 943*s - 891*s - 1352 = 0 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -4, 0.02677, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 7 + 2 + (-2 + 0 + 0)*(0 + 3 - 2) + 4 - 2 - 3)*(-2*y - 2*y**4 + 12*y**2 - y**2 - 4*y**2 + (3*y**2 - 6*y**2 + y**2)*(0*y**2 - 4*y**2 + 2*y**2)).\nAnswer: 28*y**4 + 98*y**2 - 28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 866195998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -l - 603 + 608, -3*o - 2*l + 12 = 0. Solve o*u - 79 + 73 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18662\/3 - 6221. Which is the closest to 0.122?  (a) -2\/13  (b) k  (c) -1\/2  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 1192*t**2 + 80*t - 16. Let b(p) = 5*p - 1. Determine -16*b(m) + o(m).\nAnswer: 1192*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -5*p + 66, -3 = -3*p - 1055*v + 1059*v + 11 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + 4*r - 5*r)*((-r**2 - 3*r**2 + 5*r**2)*(6*r - 6*r + 9*r**2) - 2*r**4 - 3*r**4 + 2*r**4).\nAnswer: -18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + -2. Let g be (1 + t)\/((-3)\/9). Let z be 0 - (0 - -1 - 1). Solve -5*j + 7 + g = z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -862*p - 442*p + 57376 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 183 + -98. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 1.18, 351927?\nAnswer: 351927","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1068112120.\nAnswer: 2, 5, 883, 30241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 235923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**3 - 2*q**2 + q + 35. What is the remainder when a(0) is divided by -18*(0 - (-1 - -2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31 * -2.2\nAnswer: -68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 90 = -4*a + 2*v, v = -5*a + 116. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14034490?\nAnswer: 2, 5, 67, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3*s + 10. Let z(f) = -6*f + 20. Let r = 6 - 1. Let b(w) = r*v(w) - 3*z(w). Is b(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6158, -24626, -55404, -98492, -153890?\nAnswer: -221598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m. Let x be p(1). Let o be x\/(-4 + (-197)\/(-49)). What is the greatest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/4 and (-48)\/84 - 78\/(-560).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - 8. What is the least common multiple of 7 and h\/15 - 126\/(-15)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 198 and 234?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/7))**(3\/7)\/(l**(4\/3)*l*l**(1\/3)*l)*((l**(-5)*l)\/l)\/l**1*l**(1\/3)\/l*l\/l**(-3\/10) assuming l is positive.\nAnswer: l**(-13459\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -171 or -22?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 56\/16 + (-6)\/4. Let x(a) = -a + 9*a + 4 - s. What are the prime factors of x(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 10. What is the common denominator of 55\/7 and 4*1 - (-71)\/n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 27 = -5*s, -3*s - 10 = 4*c + c. Let j(d) = -d**3 - d**2 + d - 5. Let h be j(0). Let q(b) = -b - 3. Let m be q(h). Is c at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133)*-1)\/sqrt(7) + (sqrt(114)\/sqrt(6) + 5)**2.\nAnswer: 9*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d - 4*d + 40 = 0. Let j be 3\/d*8\/18. Let n = -325.142 + 325.342. Which is the smallest value?  (a) n  (b) -1\/4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21*g**4*r + 2*g**4 - 2*g**3*r - g**3 - g**2*r - 1158*g**2 + 2*g*r wrt g?\nAnswer: -504*g*r + 48*g - 12*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 32 = -2*q. Let t(i) be the first derivative of -1\/8*i**q - 1\/4*i**2 + 2 + 1\/3*i**3 + 0*i. Find o, given that t(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, z: 4, j: 4, o: 2}. What is prob of picking 2 h and 1 z?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1155693980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -96 - -35 - -54 - -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 8873942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 263 - 422. Let b = o - -162. Solve 0 = 3*j - 3*i + 21, -b*j + i = -5*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -189\/2*a**2 - 1\/4*a**3 - 11907*a - 500094.\nAnswer: -(a + 126)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -6*r. Let g be (-2 + -1)\/(1 + 0). Let p(o) = -o**3 - 2*o**2 + 3*o + 2. Let q be p(g). Let v(m) = 23*m**2 - 19*m**q + 1 - 1. What is v(c(l))?\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(2\/(-4)*2). Let a(h) be the third derivative of 3\/40*h**6 + 0*h**3 + 0 + 3\/70*h**7 + 1\/20*h**5 + 1\/112*h**8 + 0*h**4 + x*h - 5*h**2. Factor a(y).\nAnswer: 3*y**2*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-135)\/(-50)*77630\/4 + (-1409)\/5636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of 7\/12*h**4 + 0 + 3*h**2 - 5\/6*h**3 - 3*h. Let w(x) = 6*x**2 - 4*x + 5. Calculate 5*w(f) - 4*z(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - x = 17, 308*v - 22 = 311*v + 5*x for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + -2. Suppose -r - 71 = -c*h + 38, r - 38 = -2*h. Let i = -15 + h. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 2 - 46. What is the greatest common factor of 55 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 30673136 and 1258972?\nAnswer: 337404496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 15*u + 63. Let l be f(4). Let b = l + -121. Solve 2*o = -2*v + 2, -4*o - 16 + b = -5*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 582\/(-48) - 12\/(-96). List the prime factors of ((-2)\/w)\/(9051\/(-9054) - -1).\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 10:15 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 48?  (a) -14  (b) -4  (c) -2\/5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8 minus -3461?\nAnswer: 3459.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-17 + 10)*4\/(-7). What is the remainder when -2 - (-164)\/j - -2 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-42) + (-2)\/7. Let c = -107 + 112. Suppose -4*w - c*m = -3, 5*w - 3*m + 24 = -0*m. What is the closest to w in -0.2, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 + -2 - (-9570)\/(-1334))\/(-2).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 52369 - 49?\nAnswer: 52320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11819?\nAnswer: 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/8 and -77\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 10*q**2 - 28*q + 186. Let p be l(11). Put 3, 982, p in ascending order.\nAnswer: p, 3, 982","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 380 a factor of 10458360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 375*h. Let l(o) = 39542*o**2 - 2*o + 2*o - 39545*o**2. Calculate l(b(a)).\nAnswer: -421875*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of -7*k**6\/144 - k**5\/24 - 7*k**4\/2 + 18*k. Let y(x) be the third derivative of j(x). Find the first derivative of y(d) wrt d.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of 1\/3*h**3 + 7\/2*h**2 + 3 + 5*h. What are the prime factors of o(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75 divided by 1425559?\nAnswer: -75\/1425559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 8*z**2 + 7*z + 6. Let f be w(-6). Suppose 7*y + 61 = 838. Let q = f + y. Solve 5*s = -2*d + 5, 2*d + 1 = q*s - 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*2\/6)\/((-10)\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -5*g**2. Let q(z) = -20*z**2 + 2. Calculate w(q(m)).\nAnswer: -2000*m**4 + 400*m**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2437073919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 65102 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -15 + 14 - (-2 - 2). Suppose -t = -4*s + 775, 594 = 3*s - 2*t - c*t. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4352814 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**3\/i)\/i*i)\/(i\/(i*i**(3\/7)\/i)*i))**(-3)*((i\/(i**(1\/2)\/i))**(-6\/11))**(2\/139) assuming i is positive.\nAnswer: i**(-13887\/10703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 468\/2106 + 23\/(-18)*-1. What is the third smallest value in 1.1, 5\/3, z?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 27*q - 27*q = -4420. Solve -6*y = -q + 61 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31420737 divided by 69?\nAnswer: -455373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 581 + 1187*u**3 - 2856232*u**2 + 2856232*u**2 wrt u.\nAnswer: 3561*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-18) + (-4)\/6. Let g = 0.28 + -0.68. Which is the nearest to 0?  (a) -0.1  (b) i  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2668688 and 121304.\nAnswer: 2668688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 2*d - 23 = -3*d, 0 = 4*d + 8. Suppose 0 = k - j*k - 12. Suppose -4*u = -5*u - 1. Is k <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16171 divided by -103?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -0.4, 0.27, 1\/2 in increasing order.\nAnswer: -0.4, 0.27, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from lpppppfpppcxpp.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 352, 1407, 3166, 5629, 8796?\n\"Answer: 352*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + 0 - 0) + 0 - (-17 - (-14 - -100)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 0. Suppose i - 11 = -5*g, -39*i = -2*g - 41*i + 6. Solve -g*p - 1 = -5*p - v, 5*v - 22 = l*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82439321 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v = 12*v - 840. Let b be 182\/v - 1\/5. Let -b*z + 0 - 1\/3*z**3 + z**2 = 0. Calculate z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/7, -173, -6, -5\/11, 1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -2*b + 3*b + 268, 0 = -3*b - 2*r - 776. Let q = -252 - b. Solve -6*g + 4*g + q = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 4*v - 36. Let a(l) = 12*l + 516. Let u be a(-38). What is the greatest common divisor of v and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2210 - 322144103?\nAnswer: -322201313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -373*w + 7552. Give p(20).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7007476*p**2 + 8075954*p wrt p.\nAnswer: 14014952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7\/(-4 - 180\/(-44)) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/5*(-7)\/(-91)*-1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -450138, -900290, -1350442, -1800594, -2250746?\nAnswer: -2700898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of 20*m**2 - 1\/12*m**4 + 1\/60*m**5 + 0 + 0*m - 7\/6*m**3. Let i(t) = t**3 + 5*t**2 + 2*t - 3. Let u be i(-4). Determine a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.17515 rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hrhxjeve. What is prob of picking 1 e and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 5*x + 30. Let p be y(-6). Which is the nearest to -1?  (a) p  (b) -16\/7  (c) -0.4  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = t + 4*a + 1, -4 = t - 4*a. Suppose t*w = -9*w. Suppose w = 6*p - 3*p - 144. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -447\/4 less than or equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4572 is divided by 776.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of k**5\/3 - 76*k**2. What is t(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -13*g**2 + 3*g. Let k(w) be the third derivative of -w**4\/12 - 1847*w**2. What is j(k(z))?\nAnswer: -52*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -4.8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -48 bigger than -124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000 (base 5) to base 7.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 3*l**3 - 7*l + 3 - 2*l**3 + 3*l. Suppose -q - 97*s = -101*s + 18, 0 = q + 3*s - 17. Give t(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert c11 (base 16) to base 13.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 830.1483 hours?\nAnswer: 2988533.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2202289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -10812415 and -168.4912?\nAnswer: 10812246.5088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.55 + 9.83. Let t = -1.28 + r. What is the second smallest value in t, 2, 2\/3, 4\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 + -11. Let i be 24*(16\/(8\/2) - n). Suppose 0 = i*r - 22*r - 82. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -8\/7*c**3 - 6\/35*c**5 + 6*c - 13\/21*c**4 - 8\/7*c**2 - 2\/105*c**6 + 0. Factor b(z).\nAnswer: -4*(z + 1)**2*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i + 1. Let r be z(1). Suppose r*a + 5*a - 25 = 0. Solve 5 = 5*u - a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(147) + -2 + ((sqrt(30) + sqrt(270))\/sqrt(10))**2 - (3 + (sqrt(162)\/sqrt(6))\/sqrt(9)*5)**2).\nAnswer: -138*sqrt(3) - 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 12:42 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 8*d - 98. Let o be y(13). Solve 4*b + o = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 493429804 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 5*z**3 + 7*z**2 - z + 17. Let o(v) = v**3 + v. Let g(w) = -b(w) + 4*o(w). Let i = -235674 - -235666. Determine g(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-1924))\/((-4330)\/(-56290)).\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a kilogram in grams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.62 + -0.38. Let a = -31.9 + -11.1. Let x = 48 + a. What is the second smallest value in x, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -125*t + 182. What is the smallest common multiple of i(0) and 104?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c**2 - 616 - 551 + 1722 + 3*c**2 - 555.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -31829?  (a) -2\/3  (b) 10  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -71 - -326. Suppose r - y = -2*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -15, -45, -97, -177, -291, -445?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p**2 + 20*p - 65. Is v(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 595, -0.5, -5\/3, -2\/11, 1 in decreasing order.\nAnswer: 595, 1, -2\/11, -0.5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - s + i = -127, 0 = -2*s + 3*i + 117. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*p + 72 = 30*p. What is the lowest common multiple of 4 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - (-417)\/(-66) - 2. Let i = -87922\/48345 - -2\/4395. Let v = b - i. Find the common denominator of v and 11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2083\/71 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 3*w = -8, m + 29 = -4*m + w. Let s be (2 + m\/2)*-20. Let i = s + 9. Solve -3*g = -5*u + 14, 5*g + 2*u - 6 = -i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 12. Suppose -8 = -l*w - 3. Which is smaller: w or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1960 divided by -392?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1485779629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 5, -2\/13, -7.961?\nAnswer: -7.961","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1117 (base 11) to base 16.\nAnswer: 5be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 5 - ((-30)\/9 + 2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 4 = 4*q, 4*y + 1 = 2*q - 1. Let w be (-5 + 2 - -27)\/2 + q. Solve 11*s = w*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 9, 7, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10215, -10191, -10155, -10101, -10023, -9915, -9771, -9585?\nAnswer: -9351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12552447 to the nearest integer?\nAnswer: 3543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**2 + 3*a**2 - 4*a**2)*(2 + 1 - 1)*(-530*a**2 + 530*a**2 + 225*a**3).\nAnswer: -450*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33042 is divided by 489?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 83 - 5c?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -167923\/16465 + -4\/3293. Find the common denominator of o and 11\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-7))\/(12\/1176*-7). Solve -4 = m + 3*h + z, h = -1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*(-3)\/(0 + -3). Suppose -3*a = -96 + w. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 + 4)*(-33933*w**3 + 4000*w**4 + 33933*w**3) in the form a*w**4 + o*w + b*w**2 + z*w**3 + v and give a.\nAnswer: 8000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -42 + -110317715?\nAnswer: -110317757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 144*o**5 + 2*o**4 + 832*o?\nAnswer: 2880*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 1 + 0)*(-1 - 2 + 1)*(d**3 - d**3 - 3*d**3) to the form b*d + k*d**3 + z*d**2 + a and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18 - (43 + -17 + 1)) + 27.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -4*y. Let r(p) = -78*p**2 + 181*p**2 - 87*p**2. Determine r(v(b)).\nAnswer: 256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tlybjry. What is prob of sequence yb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -2) + -3 + 3 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2595119 is divided by 288340.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 149900324 + -76006707. Suppose 13*f - 12793617 = -k. Round f to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34 - (32 - 58) - (1 - 4 - 27)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/7429 and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l. Let u be (1 - -2)*4\/6. Let f(z) be the third derivative of 0*z - 1\/24*z**4 + 0 + 0*z**3 - u*z**2. What is r(f(o))?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -1366\nAnswer: 1\/683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 46284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + 10655\/(-1155) + (-5)\/(-10)*24\/(-198).\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7819 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/13, -49, -0.3?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-136*n + 247*n - 139*n + 2*n**2)*(4*n - n - 2*n) as f + k*n + j*n**2 + s*n**3 and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 AM and 3:38 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 4:40 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 187191 and 729?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -d + 6 + 2, 0 = 3*x - 2*d - 14. Suppose -16 = 2*m - x*m. Suppose -2*l + 5*t - 2211 = -361, -2*t - 3676 = m*l. Round l to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y + 6. Let j be g(-5). Let s = -3 - -3. Let i = -8 + 6. What is the biggest value in i, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 845 - 845.2235. Let g = y - -0.6319. Let t = 0.39 - g. Round t to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 809 - 691. Suppose 5*v - o = -98. Solve -3*k = -2*k + v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q - 2. Let k be o(-4). Let n be (1\/k)\/(3\/(-6)). Sort -3, 4, n.\nAnswer: -3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2 and -0.412.\nAnswer: 1.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24535, -50284, -77263, -105478, -134935, -165640, -197599, -230818?\nAnswer: -265303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - -6) + (1 - 4) + (55 + -64 - 46).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 19104.957 and 41943.76?\nAnswer: 22838.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*p = 14, 3*p + 0 = 5*z + 1. Let n be (-1)\/z - 27\/6. Suppose 0 = 72*f + 6653 - 6365. Is n bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8771966*a*b**2*u - a*b**2 + 68*a*b*u + 64207*a*b + a*u + 2*a + 6*b**2*u wrt b.\nAnswer: -17543932*a*u - 2*a + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c - 5. Let i(k) = -2*k**3 - 12*k**2 - 19*k - 3. Let u be i(-3). Give f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7016, 27875, 62290, 109973, 170636, 243991?\nAnswer: 329750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttq when three letters picked without replacement from {t: 11, w: 1, q: 3}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -62?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -53 + 372\/7. Which is the nearest to 0.1?  (a) v  (b) 12  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 145 + (12 - 4) + 12. What is the greatest common divisor of 165 and d?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248820 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -155b504 + e?\nAnswer: -155b4e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.2 and -2383.899090539.\nAnswer: -2384.099090539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2211223031 - -1?\nAnswer: -2211223030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 602 + -354. Suppose f = -j + 243. Let w be (-9)\/45 - 1\/j. Solve 5*v - v = w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268372 is divided by 108.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of 1\/3*h**3 - 7\/24*h**4 - 2 + 0*h + 1\/12*h**5 + 2*h**2. Let n(k) be the second derivative of b(k). Factor n(j).\nAnswer: (j - 1)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -583, -2320, -5229, -9322, -14611?\n\"Answer: -2*o**3 - 574*o**2 - o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 129*p - 141*p + 11*p**2 - 6*p**2 - 16. Let c = -109 + 103. What are the prime factors of h(c)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -122770, -245238, -367706, -490174?\n\"Answer: -122468*r - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + 102202012?\nAnswer: 102202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22101597 by 1.\nAnswer: 22101597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5439237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 711, 713, 713, 711, 707, 701?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of -1\/10*w**5 + 0*w**3 + 0 - 1\/3*w**4 - 5*w + 0*w**2. Find the third derivative of f(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 548, 548, 546, 542, 536?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14129 and 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 138\/7 - 20. Let k = 29\/4 + -27\/4. Which is the closest to f?  (a) k  (b) 1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1484*p**3 - 2*p**2 + 5551*p.\nAnswer: 8904*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1984 - -2588.8016. Which is smaller: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.9 and -7964.\nAnswer: -15131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 33*o + 16. Let t(w) = w**3 + 30*w**2 + 30*w + 31. Let d be t(-29). What is the tens digit of i(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 13) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xe when two letters picked without replacement from exeexe?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11*b**2*j*q**3 - 39*b**2*j + b**2*q - 379*b*q**3 wrt j.\nAnswer: 11*b**2*q**3 - 39*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*u + 2*u. Suppose -6*h - 8*a + 27 = -5*a, 2*h + 4*a - 6 = 0. Solve -5*v = 4*t - u*t + h, 0 = -3*t - 5*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 7. Suppose 0 = -y + 1 + c. Find the third derivative of 0*b**2 + 4*b**2 - 2*b**5 - b**5 - b**y wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 10*d**2 + 9*d - 6. Let m be z(9). Let b = m - 0. List the prime factors of -24*1\/(b\/9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b**3 - 4*b**2 - 9*b - 14. Let g be d(-2). Solve 0 = -3*a + 4*j + 4, -a + g*j + 0 = 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2601 is divided by 647?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3780 - -3779. Which is the third smallest value?  (a) -0.4  (b) 57  (c) f  (d) -20  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 a, and 1 k when three letters picked without replacement from kuakeeedldd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k**2. Let u(o) be the second derivative of -o**7\/1260 + o**4\/2 + o. Let s(w) be the third derivative of u(w). What is y(s(z))?\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -1\/5  (b) -5.2  (c) 0.08  (d) 1\/5  (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -1014.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10.2 + 11. Let t = a - -2.2. Let n = t - 3.00031. Round n to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*g**3 + 19*g**3 - 16*g**3 + (3*g - 3*g - 2*g)*(g**2 + 2*g**2 - 4*g**2).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 25\/13938 or 0.165?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 25 = 2*k - 2*z, 5*z = -3*k - 25. Suppose 98 = f + 4*s + 18, k = -3*s + 3. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3158*w**2 - 2731666*w - 3460 = 0 for w.\nAnswer: -2\/1579, 865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w. Let u be r(-6). Suppose 3*b = -2*i + u*i + 383, -2*b + 263 = 5*i. Suppose b = 2*d + d. List the prime factors of d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 AM and 3:41 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 6 - 2 + (2 + 0 - 1)*(-2 - 2 + 3))*(241*p + 1602 - 1602)*(1 + 0 - 2)*(4 - 1 - 1) to g*p + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -87\/2 - -439\/10. Let m = -54\/263 + -660\/4471. Are t and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 704 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -1, 2\/15, -0.12, -3\/5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.002*0.4.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r**2 + r + 1. Let f be s(-1). Suppose 4*b + 4 = -5*n, -5*b - 2 = -5*n + f. Put 2, n, 3, -2 in increasing order.\nAnswer: -2, n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - 11693?\nAnswer: -11695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50238889?\nAnswer: 211, 238099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 - 9*a - 2. Give k(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 2\/3, 0.895, 0.08, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7527 and 114348?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + sqrt(99) + (sqrt(99) - -2*sqrt(99))*6 + sqrt(99))\/(sqrt(9) + sqrt(216)\/sqrt(6)).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*n**4 + 11*n**4 + 0 - 1 + (0*n**3 + 4*n**3 - n**3)*(77 - 77 + 31*n).\nAnswer: 97*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/((-3 - 28\/(-8))*1). Calculate the highest common divisor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i + 192 = 4*i. Is i not equal to -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bx when two letters picked without replacement from {p: 10, b: 1, q: 2, m: 2, j: 1, x: 3}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.3  (b) -0.2  (c) -2  (d) 8272\/3  (e) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 865 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4*(((-1076)\/28 + 2)\/(-3) - 12)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.351*0.5.\nAnswer: 0.6755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9\/6 + (-3)\/(-6). Suppose -r*l = 3*l. Differentiate 1 + l + 3*w**3 - 2*w**3 wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1562.863 to the nearest 10.\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 900.454 millilitres in litres?\nAnswer: 0.900454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of -1\/9*i**3 - 1 + 0*i**2 + 1\/12*i**4 + 0*i. Suppose s(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 19*r - 370. What is p(20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of -b**5\/20 + b**4\/4 - b**3\/6 - 2*b**2 - 5*b. Let w be i(3). Which is bigger: w or -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -87, -2\/5, -2\/11, 0.4, -5 in descending order.\nAnswer: 0.4, -2\/11, -2\/5, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (-4 - (-12 + 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 238 + -92. Suppose 4*u + 0*w - 182 = -w, -4*w - m = -3*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 7*k**2. Let u(s) = 2414*s - 2414*s - 21 - 61*s**2 + 20. Determine u(c(n)).\nAnswer: -2989*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -173*q**4 + 110*q**4 + 119*q**4 - 3*q**4 + 3 - 3 + (3*q**3 - 7*q**3 + 2*q**3)*(-2*q + 2*q - q) + q**4 + 2*q**4 - 6*q**4.\nAnswer: 52*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 512 + ((-132)\/55)\/(-1*9\/30) is divided by 241.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 7:00 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*h**2 - 2*h**2 - 7*h**2 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-15 - (-276)\/16)*8\/(-3). Suppose -3*k - 28 = k. Which is greater: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y**3 - 2*y**2 - 2*y. Let b = 502 + -300. Let v = -193 + b. Let o(a) = -8*a**3 - 9*a**2 - 8*a. Calculate v*f(p) - 2*o(p).\nAnswer: -2*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -86 + 86 - 8*b**3 - b**2 wrt b.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of v**3\/2 + 3*v**2\/2 - v. Suppose -m + 6 = 2. Suppose f = m*f + 12. Calculate z(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -363.8 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/4128 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*v - 1686 + 550 + 556 + 580 - 53*v.\nAnswer: -110*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of 0 + 1\/6*b**3 - 29*b + 17\/2*b**2. Let i(n) = -n. Calculate i(z(s)).\nAnswer: -s - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 3*l - 106. Let k be n(12). Solve k = 3*m - a, 4*m + 4*a - 24 = -0*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -62*v - 605. Calculate f(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14\/9*p**5 + 22\/9*p**3 + 0 + 8\/3*p**2 - 8\/3*p**4 - 8\/9*p = 0. Calculate p.\nAnswer: -2, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -126, -3, 1, -8, 0, -7 in increasing order.\nAnswer: -126, -8, -7, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11350\/27 or 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 17, -2 in decreasing order.\nAnswer: 17, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(50) - (2*sqrt(200) + sqrt(200))) + sqrt(7200) + 4*sqrt(7200) + sqrt(50))\/(sqrt(1210) + 1*sqrt(1210)*3 - -3*sqrt(1210)*-2).\nAnswer: -28*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35\/14)\/((-3)\/(36\/(-735))).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*c + 591 + 305. Let p = -118 - c. Calculate the remainder when 27 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -2*j + 59, j = -3*j + 2*f + 130. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/(-46)*-1)\/((-23456)\/(-269744)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 n when four letters picked without replacement from nttnnttnnnn.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 4*h**2 - 10. Let p be o(-3). Let w be 3 + (p - 4\/1). Suppose 6 = a - b - 6, 0 = -5*b - w. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 2. Suppose 32 = z*s - 0. Calculate the greatest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -410 divided by 10.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11301333 + -32?\nAnswer: 11301301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -214 - -322. Let y = 54 - l. What is the units digit of y\/(-13) + 1*6\/(-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**4\/13 - 24*l**3\/13 - 68*l**2\/13 + 1224*l\/13 - 1134\/13 = 0 for l.\nAnswer: -7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gl when two letters picked without replacement from lmg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -982*q**6 - 2945*q**2 wrt q.\nAnswer: -117840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 59, 4, -0.34, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2835 - 592513\/209. Is 0 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -5 + sqrt(192) + 1 + sqrt(192) - (((sqrt(336) + sqrt(336)*-2)*-2)\/sqrt(7)*6)**2.\nAnswer: -6912 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10260 and 1151685?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -98*f + 11. Let b(z) = -63*z + 7. Let j(w) = 8*b(w) - 5*m(w). Let p(a) = -14*a + 1. Determine 3*j(i) - 4*p(i).\nAnswer: 14*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*f**4 - 2*f**4 - 2*f**4 + (-2 + 3*f**3 + 2)*(3*f - f + 4*f) to l*f**4 + m + x*f**3 + j*f**2 + p*f and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (u + 0 - u**3 + 0)*(2*u + 2*u + 0*u)*(0 + 4 - 3) in the form b*u**3 + m*u**4 + l + s*u + q*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1471 at least as big as 1444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 PM and 6:18 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 108448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zhuzztu. Give prob of picking 1 h and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -25\/56 + 1\/56. Let z = k + 2\/21. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 9*v**2 - 8*v + 17. Let l be x(-11). Let k(a) = -4 - 1192*a + 4 + l*a. Let s(t) = -28*t**2 + 2. Give k(s(p)).\nAnswer: -56*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 25295473361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 43434630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 12 - 12a?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -1\/4, -5.9, -0.13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 44\/(-16) + 3 + -1*78\/120. Let t = -3 - -4. Put -4, l, -0.3, t in decreasing order.\nAnswer: t, -0.3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v + 6*v - 6*v - v - 3*v + 11*v + (-2 + 2 - 2*v)*(-2 - 1 + 1).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -3 - 7) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 188 divide 1046699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 40 = -5*q, 2*q - 4*v + 7 = -5. Let m = 1.9 - 2. What is the nearest to -2 in -1, m, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*f - 20775 = -23*f. Suppose -f - 2089 = -4*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86243.47ml in litres?\nAnswer: 86.24347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -193 + 192.97. Let p = 0.17 - z. Let y be (-2)\/(-3) + (-12)\/15. What is the third smallest value in y, -4\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 90\/270 - 19*(-26)\/3. What is the greatest common divisor of 275 and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.4535*0.09\nAnswer: 0.220815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of j**4\/12 + j**3\/6 - 5*j**2 + 13*j. Let c be r(-4). Let d be c\/(-3) + 208\/(-48). Let w(n) = -2*n - 5. What is w(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2483736929 to the power of 1\/2, to the nearest integer?\nAnswer: 49837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -20498 divided by 10249?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-364)\/(-35))\/(4\/(-30)). Let g be n\/(-21) - 10\/(-35). Is (3\/(-9))\/(g\/(-5028)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2 - ((2 - 2) + 103 + -93)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 3\/4, 2, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15859\/8 + -776877\/392. Find the common denominator of -79\/112 and g.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -90*o*y**3 + 613*o*y**2 + 529*o*y - 209*y**3 - 38444*y wrt y.\nAnswer: -540*o*y + 1226*o - 1254*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + -37666?\nAnswer: -37664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of c**4 + 72*c**3 + 422.\nAnswer: 4*c**3 + 216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = j + 104, -3*q + 84 = 3*j + 231. What is the fourth smallest value in -2, q, -23, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -642330 + -260?\nAnswer: -642620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 0)*((-5 - 2 + 6)*(5*x - 2*x - x) + 2*x + 0*x - 4*x + 3*x - 3*x - 2*x + (4 - 2 - 4)*(2*x + 3*x - 4*x) + 2 - 2 - 3*x + 3*x - 3 + 3).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19484 is divided by 118.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 99.782 + -23.582. Which is smaller: -3 or d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.015 + -103.015. Let s = 104 + j. Which is the third biggest value?  (a) s  (b) -3  (c) 4\/7  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-616)\/55 + 9 + 2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20.8883 - 20.746233. Let w = h + -0.142. Round w to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7 - -1)\/(5\/5). Let s = f + 7. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 70945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 63 and 71463441?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 27061693 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6*(-2 + 16\/6). Let r be 0 + (1 - k) + 2. Let d(a) = -11*a**3 - 2*a**2 + 1. Is d(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 162534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 625425 (base 8) to base 15.\nAnswer: 417c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 31*h**2 + 49*h - 527. What is y(32)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -75\/7, 1?\nAnswer: -75\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -182627 in 2\/21, 4, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172*c - 25578 = -175*c + 4*b, -b - 25569 = -3*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*s, -d + 2*s = -7 + 18. Let z be (-2 - 2)\/(d\/((-3)\/(-6))). Solve y - z*y - 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1956?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3659 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: Suppose 2*u = 50 + 102. Let d be u\/14 - (-24)\/42. Find the third derivative of -d*r**5 - 30*r**4 + 16*r**4 + 14*r**4 + 7*r**2 wrt r.\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 6*y**4 - 28*y**2 + 49*y**2 - 1 - 20*y**2 to g*y**2 + p + d*y + n*y**4 + z*y**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -287 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*j = 53*j - 604 - 1326 - 870 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, 4, -59, 24, 7 in descending order.\nAnswer: 24, 7, 4, 2\/5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 467*u + 491*u - 175*u - 51*u as x + a*u and give a.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*j**5\/5 + 1464*j**4\/5 + 9184*j**3 + 681088*j**2\/5 + 917504*j + 2007040 = 0 for j.\nAnswer: -20, -56\/3, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + h = 2*h + 2930, -5*b + 3*h = -7327. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -236\/3, 2, 4, 0, -0.4 in decreasing order.\nAnswer: 4, 2, 0, -0.2, -0.4, -236\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.753342 centuries?\nAnswer: 904.0104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ws when two letters picked without replacement from wtvuuooutvuootuusoss?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/4 - (-260)\/(-16). Let v be 0\/(2 + 1) - l. Suppose -2*j - v = -4*j. Solve -j = -2*a - 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -545 (base 6) to base 11.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-1)*(4 + 2 + -6). Suppose -y - 4 = u, 2*t - 4*y + 264 = 7*t. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9989 by -12.\nAnswer: -9989\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -6*q + 46. Let m be g(8). Let w(f) be the third derivative of 13*f**5\/30 - f**4\/24 - 2*f**3\/3 + 2*f**2. What is the tens digit of w(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69 = 2*r + 67, -4*r = -f - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3622 (base 11) in base 14?\nAnswer: -1a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -13*q - 10688. Let i = q + 1038. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the first derivative of -4*h**5\/5 + h**4 + 4*h**3\/3 - 2*h**2 - 5. Factor z(q).\nAnswer: -4*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 841262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2b1ba (base 12) to base 6\nAnswer: -1145154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -2327307.474 to the nearest 100.\nAnswer: -2327300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000397517027 rounded to 6 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 639, 1284, 1921, 2550?\nAnswer: 3171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*d - 63*d = -64. Let m(r) = r**3 - 15*r**2 - 16*r + 16. Calculate the remainder when 270 is divided by m(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 57 + -16. Suppose 2*q + 0*p - 24 = 3*p, -5*q - 2*p + d = 0. Suppose q*k = 4*k - m + 260, -5*m = k - 28. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b - 2. Let z be u(2). Suppose 2*j - z*j + 32 = 0. What is the remainder when j is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 6*y**2 + 3. Let n(l) = -11*l**2 - 5. Let z(h) = 5*j(h) + 3*n(h). Let q(d) = d**2. Give z(q(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0286988l in millilitres?\nAnswer: 28.6988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a5 (base 11) in base 15?\nAnswer: 18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of -5*y**4\/6 - 11*y**3\/6 - y. Let r(b) = b**2 + b. Let l(q) = q**2 - 9*q - 180. Let s be l(-8). Give s*r(v) - 4*c(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/2 + (2 - -2). Let v = -3.05 + 0.05. Let p = 1 + v. Put p, -4, s in decreasing order.\nAnswer: s, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 79145, 79197, 79247, 79295?\n\"Answer: -o**2 + 55*o + 79091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -115 + 118. Let v = -1 - -3. Is v < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -14. Let i(b) = b**3 + 12*b**2 - 11*b + 26. Let g be i(-13). Suppose -a = 1 - 6. Solve -a*n + 4*k + x = g, -3*k = -0 - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n + 5. Let j be u(9). Let m = 5 + j. Suppose p - m = 3. Solve -p*b - 33 = -5*q, 4*q = -q + 5*b + 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + l + 3*l = -26, -49 - 12 = 26*o + 5*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*r**2 + 38860*r - 188762450 = 0. Calculate r.\nAnswer: 9715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.1 - 7.5. What is the second biggest value in 3\/4, 1, p, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i + 23. Let k be h(9). Let f(b) = 2*b**2 + 3*b - 6. Let o be f(-8). What is the greatest common factor of o and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (8 - (34 + 5))) + -8\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -14 + 132*1\/9. Factor -2\/3*d**4 - 4\/9*d**3 - 2\/9*d**5 + 2\/9 + 4\/9*d**2 + i*d.\nAnswer: -2*(d - 1)*(d + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 641 is divided by 319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - 15)*(-8 + 8 + 2*z)*(-2*z - 4*z + 4*z + 2) as x*z**2 + u + i*z and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 500011 (base 6) to base 10\nAnswer: 38887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -15, -2, 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -482 + 9 = -f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w - 2*w + 4*w + 11. Let b = 82 - 82. Calculate g(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {x: 2, m: 1, u: 6, t: 9}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 2) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1851*-2823.\nAnswer: 5225373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/6 - (8 + -4 - 5). Determine y so that -9\/2*y**3 - 3*y**2 + 0 - s*y = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -8.44881 and 29180.1?\nAnswer: 29188.54881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(2 - 27\/15). Let u = p + -2. What is the first derivative of -o**2 + o**4 - 3*o**4 + u + o**2 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36156)\/(-2898) + (22 - (-1044)\/(-54))?\nAnswer: 106\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {u: 1, h: 1, i: 1, w: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (0 - 6 - (18 + -22) - 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3\/7 + 5996*k**2\/7 + 5989*k.\nAnswer: k*(k + 7)*(k + 5989)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-1 - 2) + (718 - 711) + 7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - ((-20 - -27) + 6)) + (126 - -5).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4966 is divided by 81.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19180 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-18)\/(-6))\/((-3)\/(-11)). Which is smaller: s or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 0. Let f = -7 - -3. Put 4, q, f in descending order.\nAnswer: 4, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00006573351 to six dps.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 315 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u**2 - u - 19*u**3 + u**2 + 0*u. Suppose i - 2 = -3. Is m(i) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + n - 4*n - 69, -3*p + 4*n = -37. Let i be -4*p\/(-6) + -1. Calculate the highest common factor of 45 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, u: 4}. What is prob of picking 1 u and 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 93 - 85. Let y(c) = 28*c**2 - x*c**2 - 5*c**2. Let z(f) = 3*f**2. Calculate y(z(w)).\nAnswer: 135*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 7*j**3 - 6*j + 9. Let f(v) = 6*v**3 - 5*v + 8. Calculate -6*f(l) + 5*t(l).\nAnswer: -l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 179\/1492290 and 23\/3.\nAnswer: 1492290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -4*n**3 - 3*n - 2. Let a be (4\/(-8))\/(1\/2). Calculate the remainder when 14 is divided by h(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 47438 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 238 = 58. Let x be (-3)\/((-135)\/591) + (-4)\/d. What is the highest common divisor of 299 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-64)\/8)\/16*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 774.4136 kilograms to nanograms.\nAnswer: 774413600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69141.\nAnswer: 3, 19, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + m = 17, 4*m = 2*v - 1 - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 5*i = 423, -3*o + 4*i - 432 = o. Let a be 5*(52 - (-4 + -2)). Let k = o + a. List the prime factors of k.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 4*t - 3. Suppose 24 = 2*f - t*a, 4*f + 3*a - 23 - 3 = 0. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 149, 298, 447?\n\"Answer: 149*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 41574 - 20581. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3734981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*g + 2 + 8*g - 1)*(g - 7*g + 2*g)*(-113*g**2 + 98*g**2 - 499*g**2).\nAnswer: 4112*g**4 + 2056*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1057*o = 1066*o - 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12)\/(-16)*4*129. What is the tens digit of (2\/3)\/(6\/t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 824 and 721?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 13*t**2 + 4*t - 1. What are the prime factors of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/197, -6, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u**2 - 7*u + 12. Suppose -19 = -4*z + 3*i, 5*z + 3*i = 6 + 11. Calculate the smallest common multiple of b(z) and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -13, 3, -42, -3.\nAnswer: -42, -13, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*sqrt(2))**2 + sqrt(8)\/(sqrt(4) + -2*sqrt(4)).\nAnswer: -sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((7954\/(-97))\/328)\/(19\/(-12))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 156 - 1094\/7. Let w = -1216993\/78 + 15602. Find the common denominator of w and s.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 + 14*u + 41. Let x be f(17). Let o(s) = s + 1. Let q(w) = w + 5. Let l(v) = x*o(v) + 2*q(v). Let m(k) = k**2. What is m(l(p))?\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3312 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -102132 divided by 6.\nAnswer: -17022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -170885.1 to the nearest 100.\nAnswer: -170900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 10  (c) -1\/13  (d) 0.01  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 50730.6 * -41.\nAnswer: -2079954.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/5*(-60)\/18. Suppose -4*w + 8 = -24. Suppose -l*c - 164 = -w*c. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rubr when four letters picked without replacement from rbru.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-18)\/9)\/(-2))\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {k: 1, a: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/31 in 1\/4, 2\/15, 1\/2, 0.2, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 87828452 and 31.\nAnswer: 87828483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -5290*g - 4456*g + 3089*g + 1882*g - 3639*g as o*g + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -435824, -871652, -1307482, -1743314?\nAnswer: -2179148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*p, a = -2*a - 3*p - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, c: 1}. What is prob of sequence vc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 2067745 and 2067742 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -19950 and -0.118.\nAnswer: -19950.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 67\/142 - -2\/71. Let j be (7 - 7) + (1 - 1). Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -4*j**3 + 37*j**2 + 73*j + 3. Calculate z(11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -484479.201 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + v = -10 + 1, t - 3*v - 7 = 0. Suppose 41 = -t*l + 1685. List the prime factors of l.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*v + 44*v - 4 - 24*v + (-4 - 1 + 4)*(0*v + 2*v - 4*v).\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5*h. Let y(d) = -18*d + 1 - 4*d + 6*d. Let i(g) = 7*v(g) + 2*y(g). Is i(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 67*i - 1025. Let p be b(35). Solve 10*t = -9*t - p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + 12*u**2 - 6*u + 4. Let s be w(-11). Is s at least as big as 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -195, -209, -247, -321, -443, -625, -879, -1217?\nAnswer: -1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4470959 - -48.\nAnswer: -4470911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 + 5*o**2 + 2*o - 8. What is the tens digit of y(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 33*a**2 - 30*a + 73. Let s be 16\/2 - 2\/(-1). Let h = s + -6. What is the remainder when t(-32) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 181682 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 - 1\/3*s**4 - 2\/3*s - 5\/3*s**2 - 4\/3*s**3 = 0. Calculate s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-2)*(-4)\/(-12). What is the third smallest value in 2, 1, -3, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 126 - 5*b**3 - 22 + 14 + 17*b**3 + 5*b + 10*b wrt b.\nAnswer: 36*b**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**3 + f**3 - f**3 + (4 + 4 - 4)*(-3*f**3 - 2*f**3 + 7*f**3) + 8*f**3 - 24*f**3 - 30*f**3.\nAnswer: -39*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.613535 to 2 dps.\nAnswer: 7.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 79850389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -10201.\nAnswer: 40804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 + 4. Let h(g) = 2. Determine 3*d(y) - 5*h(y).\nAnswer: 3*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - o**2 + o + 1. Let f(m) be the first derivative of -17 - 3\/4*m**4 - 2*m**2 + 4\/3*m**3 - 4*m. Calculate -f(y) - 4*x(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) 1\/37  (c) -3\/4  (d) 4  (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of -1\/3*r**4 - 2 + 0*r**2 + 2\/3*r**3 + 142*r. Factor n(s).\nAnswer: -4*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 823 a factor of 10227408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -111110011010 (base 2) in base 9?\nAnswer: -5427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -501, -710, -1057, -1542, -2165, -2926, -3825?\nAnswer: -4862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 4*p + 47. Let r(o) = -3*o - 31. Let a(q) = -5*f(q) - 7*r(q). Let v be a(18). Which is smaller: -8\/13 or v?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 5*b - 256. What is the greatest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o - 4. Let a be c(-6). Suppose -60 = -a*p - 2*p. What is the remainder when 43 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(72)\/sqrt(4))\/(sqrt(1089) + sqrt(1089)*-2).\nAnswer: -3*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 7789*y + 24. Let h(k) = -15576*k - 60. Determine -2*h(u) - 5*r(u).\nAnswer: -7793*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 134243638 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(1 - (-10)\/(-4)). Suppose 0 = l*i - 4*h - 22 - 2, 3*h = -12. Let j be 0 + 68\/18 + 42\/189. Solve 3*r + j = i*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and 106039.\nAnswer: 106036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 7*l**2 - 67*l - 975. Is w(-15) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 685*s**2*v**3 - 86*s**2*v**2 - 5*s**2*v - s*v**2 + 7303*v**4 + 102*v wrt v.\nAnswer: 4110*s**2 + 175272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 6*s + 16. Let v(w) = w**2 - 10*w + 6. Let y be v(9). Let p be u(y). Let k = -0.11 + 0.01. Put k, p, 2 in decreasing order.\nAnswer: 2, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86\/86*58\/145*6\/(-26)*25\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -4*y**2 - 120*y - 222. Let c be o(-28). Let v be 14\/(-8) - (-9 - -7). Solve -v*w - 1\/2*w**c + 3\/4*w**3 + 0 = 0 for w.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1704538.\nAnswer: 2, 11, 77479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 78055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (4 - -1) + 7 + -10 + 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 6. What is the nearest to o in -0.5, -0.7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -1249*j - 1524. Does 45 divide s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2184, 1, -121 in ascending order.\nAnswer: -121, 1, 2184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1192, -4862, -11012, -19642, -30752, -44342?\nAnswer: -60412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + (9 + -10 - -8) - (-7 - 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2371 + -2368. Solve 3*a - 3*l = l, -v*l = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 - 18 = 3*t - 5*y, -20 = -2*t + 2*y. Let d(s) = 3*s - t*s + 0*s - s. Let l(u) = u. Determine d(l(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**3 + 17*f**2 - 15*f + 11. Let z(i) = -i**3 + 9*i**2 - 8*i + 6. Let n(y) = 6*l(y) - 11*z(y). Factor n(c).\nAnswer: -c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 33983427 and -86054.\nAnswer: 33897373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*x - 85*x + 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18336*d - 958*d - 1446*d = 1768452 for d.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -47457\/4, 0.2, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 2 = v - 2*a, 2*v - 2*a - 8 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47838338?\nAnswer: 2, 23919169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 4*q**2 + 8*q + 3. Let p be l(-3). Let x = p + -56. Let m = 43 + x. Solve -2*d - 11 + 3 = 5*t, -3*d - m*t - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z**2 - 24*z - 3. Let j be k(12). Let g(p) = 1 - 3 + 18*p - 1 - 12*p - 12*p. What is g(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 + p + 1. Let r be j(0). Let n = 167\/18 + -79\/9. Which is the second biggest value?  (a) r  (b) 2\/15  (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 202129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in 4, -0.095, -32?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c**2. Suppose -118*u = -108*u - 1040. Let o(g) = -98*g**2 - 3*g. Let x(r) = -3432*r**2 - 104*r. Let d(k) = u*o(k) - 3*x(k). Calculate v(d(t)).\nAnswer: -21632*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -1 + -3 + (-7 - (-8 + 5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 255*v**2 - 22*v - 9260 wrt v?\nAnswer: 510*v - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 114 + -112. Solve -a*q = q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.85637um in meters?\nAnswer: 0.00001685637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 5:21 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6067 + -1654. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 1:36 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ycccycyc.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2)\/(-10) - (-138632)\/215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1402 is divided by 186.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n. Let r(y) be the second derivative of -3*y - 1\/4*y**4 + 0*y**3 + 0*y**2 + 0. What is r(f(d))?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -385, -3, 6\/19, -5.\nAnswer: -385, -5, -3, 0.1, 6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yba when three letters picked without replacement from {b: 1, y: 1, e: 1, r: 2, a: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1.7 - -5.3\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) 2\/5  (b) 74.4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 12, x: 1, j: 1, l: 1, p: 1, y: 3}. What is prob of picking 1 f, 1 l, and 1 p?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 12:15 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -117 divided by -9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.1651 + 94.1349. Let h = y - 94. What is the smallest value in -51, 1, h?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 648, 677, 706?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) -0.053302  (b) 1\/9  (c) -1\/7  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -42*c + 171*c + 204*c - c**2 + (0*c + 3*c - c)*(c - 1 + 1) - 3*c**2 + 2*c**2 + 2*c**2 to w*c + u*c**2 + k and give w.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/8  (b) 42  (c) -17\/104  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -48*j. Let i(a) = -2*a - 3. Let r(q) = q**3 + 18*q**2 + 20*q + 53. Let m be r(-17). Let z(w) = w + 1. Let o(s) = m*i(s) + 6*z(s). What is o(d(f))?\nAnswer: -96*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4 + -1*(sqrt(891) + sqrt(891)*-2 + 3 + sqrt(891) + sqrt(891) + -1 + 3))**2.\nAnswer: 810*sqrt(11) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 6*t - 25 = 8*t, -4*a - 3*t = -39. Calculate the highest common factor of a and 597.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, n: 2, t: 2}. Give prob of sequence cnt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-195)\/414 - (-70)\/(-2415)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c*c**(-11)*c)**(-13))**(-14) assuming c is positive.\nAnswer: c**(-1274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 102621375713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*q + 3*q + 715. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 2747627, 21.\nAnswer: -3, 0, 21, 2747627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.198 - 56.802. Let t = b - -56.02. What is t rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -17*s. Let d(c) = 6*c. Let u(y) = -11*d(y) - 4*q(y). Let a(g) be the third derivative of 11*g**5\/6 + 867*g**2 - g - 1. Determine u(a(h)).\nAnswer: 220*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -103\/261 + 5\/29. Suppose -3*d - 9 = y - 6*d, -d + 29 = 4*y. Let a = -3 + y. Which is greater: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -166, -180, -192, -202?\n\"Answer: m**2 - 17*m - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4666 and 2258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30837\/35 - -881. Let y = j - -1\/5. Let c = 0.05 - -0.25. What is the third smallest value in y, -2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 1)*(-2*z - 3*z**3 + 2*z - 3*z + 3*z + z**3 + (0 + 0 + 2*z**2)*(-5*z + 2*z + 2*z)) - 1 + 1 + 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (1 + (sqrt(1331) - 1*(2 + sqrt(1331))) + -2)**2*-5*1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**2 - 57*o + 43. Let v be w(-29). Suppose v*l**2 + 19*l**2 + 10*l**3 - 139 + 72*l + 31 - 7*l**3 = 0. What is l?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32.68*-0.443.\nAnswer: -14.47724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44419, 88883, 133347, 177811, 222275, 266739?\nAnswer: 311203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/2, 3, -5\/8, -228, -68, 0.4?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + -6*(3 - 5). What is the greatest common divisor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/3)*w)**49\/(w**(-5\/4)*w**(-8)*w)*(((w*w\/(w**3*w))\/w)\/w*w\/w**(-9))\/(w**(-4)\/w**3) assuming w is positive.\nAnswer: w**(1235\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d - 39652. Let a(x) = -25*x + 1. Calculate u(a(s)).\nAnswer: -50*s - 39650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21 + 25. Suppose w*g - 7 = 13. Let f(n) = n - 9. Calculate f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.4130987 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -1. Let u(f) = f**3 + 5*f**2 + 4*f + 5. Let h be u(-4). Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 570 + 1710. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cjcjcjjvcjc. What is prob of picking 1 j, 2 c, and 1 v?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -3221533 less than -6443063\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 8. Let l(o) = -o - 3. Calculate l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of -12*v + 0 + 5\/2*v**3 - 10*v**2. Differentiate j(a) wrt a.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41 (base 8) to base 9\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 210211?\nAnswer: 210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 285 = 4*k + k. Let p = 85 - k. Let g = -18 + p. Calculate the least common multiple of g and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -18599, -36508, -54417, -72326, -90235, -108144?\n\"Answer: -17909*n - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 634 and 542?\nAnswer: 171814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30*x - 3*x**2 - 7*x**2 - 5*x**2 + 3*x**2 to the form t*x**2 + y + l*x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 1313 = -5*f + 725, 8 = 4*i. What is the remainder when f is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -2  (c) 4.2  (d) 1235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8943537 decades to years.\nAnswer: 8.943537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 + 8*f**2 - 4*f. Let v = -16 + 23. Does 7 divide c(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -498*c + 484*c = -1260. Let w(g) = g**2 - 2*g + 3. Let d be w(-3). What is the highest common divisor of d and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0165 + -0.0165. Put 0.8, 3\/14, 5, n in ascending order.\nAnswer: n, 3\/14, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.2 - 0.2. Let y = -2 - -3. Let q = y - u. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4b7 (base 13) in base 15?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + 263\/(-55) + (-2)\/(-11). Let k = 7 - 8. What is the closest to d in k, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -56*f - 53*f + 110*f - 3. Let j(x) = x. Give a(q) + j(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-g + g + 4*g)*(g**2 + 2 - 2)*(0*g + 5*g - 4*g) to the form u*g**3 + q*g**4 + w*g + h + a*g**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33232*b**3 - 15210*b**3 + 48431*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9170 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2120100 (base 3) to base 12\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 611282 a multiple of 1081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 0 - ((39 - 61) + 29).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000191022171 rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 + 12*f**2 + 7*f + 90. Let i(r) = -r**2 + r + 17. Calculate the remainder when i(0) is divided by b(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 - 29. Let m(f) = 10*f - 29. Let t be m(3). What is the smallest value in g, -3, t, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/((-3)\/(-2))*4. Let g be v\/(-10)*5\/(-2). Let f be 72\/88 + 48\/264. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 + 159*u**2 - 12543*u + 1883705. Give b(156).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1655*x - 74734 - 23301 = -16940 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 93496, -14, -0.4, 2, 4, -0.06.\nAnswer: -14, -0.4, -0.06, 2, 4, 93496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32)\/64 + ((-6)\/(-4) - 1) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*g + 133 - 625 = 0. What is the second biggest value in g, 1, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 63824, 62764, 61704, 60644?\nAnswer: 59584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 33 + -20. What is the smallest common multiple of 6\/27 - (-52)\/9 and j - -1 - (6 - 2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*q + 105*q = 6204. Calculate the greatest common factor of q and 282.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 311, -0.5, 1, 4, -4\/5 in decreasing order.\nAnswer: 311, 4, 1, -0.5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1251389 is divided by 97?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 26399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 190067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1176\/(-126)*(2 + 85\/(-35)). Which is the third biggest value?  (a) 0.026  (b) h  (c) 1\/2  (d) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-21)*49\/(6 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 126*d**3 - 4*d**2 + 8*d - 2. Let k be c(3). Let j = 20231\/6 - k. Calculate the common denominator of j and (6\/837)\/((-2)\/(-1017)*6).\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 4 = -0. Let t(g) = -32*g - 1221. Let l be t(-38). Put 6, 5, p, l in ascending order.\nAnswer: l, p, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -22, 89 in increasing order.\nAnswer: -22, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + (26\/(-22) - -1). Let c be (1 - 4)\/(1*3\/(-15)). Suppose 2*p = -v + 2 + 1, c = 4*p + 5*v. Sort -3\/4, k, 2, p.\nAnswer: -3\/4, k, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = -9*c + c. Suppose b - 1130 = -c*b. Let d = -68 + b. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 74.985 + -8.985. Which is bigger: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47 + -37. Suppose l*a - 878 = 1662. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, t: 13, i: 1, w: 1, x: 1, k: 2}. What is prob of sequence xwki?\nAnswer: 1\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of -5\/6*a**6 + 0*a**4 - 6 + 0*a**3 + 1\/2*a**2 + 0*a**5 + 0*a. Find the second derivative of w(i) wrt i.\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -3*t**3 + 5*t - 3*t - t + 0*t**2 + 5*t**2. Let n(q) = q**3 - 3*q**2. Let y(h) = 3*g(h) + 5*n(h). What is the second derivative of y(i) wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r + 2. Let t(u) = -2*u**2 + 20*u + 27. Calculate -8*d(h) + t(h).\nAnswer: -2*h**2 + 4*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 9*h**2. Let o(c) = 2*c**2. Let n = 14 + -8. Let v = 0 + -26. Let u(j) = n*k(j) + v*o(j). Let x(y) = 6*y**2. What is x(u(i))?\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*o**3 - 2*o**4 + 7*o**3 - 5*o + 3*o + 4*o + 3*o**2 - 2 as d + g*o + m*o**4 + c*o**2 + k*o**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 + 9*c**2 + 3. Let n be k(-9). Suppose 2*i - 44 = -5*q - 9, -n*i - 10 = -5*q. Solve i*m = h + 2*h, h = -3*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 12*o**2 + 265*o + 129. Calculate r(-18).\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 334*t**4 - 2*t**2 + 2*t**3 + 346*t**4 + 42*t - 683*t**4 as x*t**4 + d + k*t**3 + n*t**2 + w*t and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 + p**2 - 11*p - 2. Let v(i) = 10*i**3 + 3*i**2 + 40*i + 5. Let r(m) = v(m) + 4*z(m). Determine r(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000051 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 144, 80, 16, -48?\n\"Answer: -64*u + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + 7*t**2 + 7*t - 21. Let o be u(9). Let h = 132 - o. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 19*c + 1196. Let t(u) = -27*u - 1794. Calculate 7*d(i) + 5*t(i).\nAnswer: -2*i - 598","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 46747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -1074938, -3 in decreasing order.\nAnswer: -3, -12, -1074938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -15027.35 to the nearest 10.\nAnswer: -15030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -51, -117, -211, -333?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*m**2 - m**2 + 4*m**2 + 5*m**4 + 15*m - 21*m**2 + 5*m**3.\nAnswer: 5*m*(m - 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -185*t + 39*t = 542*t - 1369 + 13753 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((-1 + -3 + sqrt(76)*2)*-6)**2 + -4.\nAnswer: -5760*sqrt(19) + 57596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -73399102 + 73399116.0000036. Let k = z + -14. Round k to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 732816830*s + 1303420863.\nAnswer: 732816830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -3*v**2. Let p(g) = g**2. Determine p(z(m)).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 112 = -2*u, -2*u + 3*p + 56 = 164. What is the remainder when 164\/1 - 0*6\/u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*k + 356 - 356 in the form q + a*k and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 68*a - 81*a - 52. Sort -1, -17, a in ascending order.\nAnswer: -17, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2597.667l?\nAnswer: 2597667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 355748 is divided by 312?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5472232 and 93027944?\nAnswer: 93027944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -77 + 65. Let h be ((-1035)\/(-25))\/(c\/(-160)). Let y = h + 97. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -294, -1, -2.\nAnswer: -294, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 148, -15, 2, 277 in ascending order.\nAnswer: -15, 2, 148, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*n + n - 2*n)*(-4*n + 3*n - 2*n) + n**2 + 239 - 38*n - 239 in the form b*n**2 + j*n + f and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 820 is divided by 261.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zcnccnznzcczcncncncc. What is prob of sequence zznn?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 5, y: 2, m: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1680, 3526, 5388, 7266, 9160, 11070, 12996?\n\"Answer: 8*q**2 + 1822*q - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 1) + 0 + -2. Suppose a = 2 - 4, 0 = -2*w + 3*a + 16. Let g = 3 + -4. Put g, w, b in increasing order.\nAnswer: b, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 201\/40 + 1\/10 and -1\/74?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**2 + 0*b**2 + b**2)*(7*b**2 - 25*b**2 - 16*b**2).\nAnswer: -34*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 44*t**3 + 86*t**3 - 40*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29\/96 - 1\/32. Let a be 14\/(-70) - 84\/(-220). What is the closest to 2 in a, -5, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25195127 + 0.04.\nAnswer: 25195127.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -11*a + 11. Let d(o) = 5*o + 1. Let f(h) = 5*h. Let r(n) = 5*d(n) - 6*f(n). Calculate -3*q(p) + 7*r(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, 4, 35, -2, 8 in decreasing order.\nAnswer: 35, 8, 5, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - i + 2)*(-5*i**4 + 4*i**4 + 0*i**4) + (10 + 0*i + 4*i - 5)*(2*i**4 + 0*i**4 - 3*i**4) - i**5 - i**5 + 0*i**5.\nAnswer: -5*i**5 - 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -2 - (3 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -132000 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.76, -115, -2 in descending order.\nAnswer: -0.76, -2, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3636 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4461, 4463, 4467, 4473, 4481, 4491?\n\"Answer: w**2 - w + 4461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 - 2322451*i. Let b(n) = 2*n. Give a(b(c)).\nAnswer: -4*c**2 - 4644902*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -3*f**2 - 3 + 2*f**2 - 3*f + 2. Give w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -3*j**3 + 18*j**2 + 19*j + 16. What is k(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -1657*l**3 + 3*l + 3. Is n(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12762608 (base 9) to base 13.\nAnswer: -13c7a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 0 + (-15 - (19 - 17)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 15*q**2 + 8*q - 1. Let o(a) = 33*a**2 + 18*a. Let v(k) = 3*o(k) - 7*x(k). Let r(h) = -3*h**2 - h + 3. Give -10*r(n) + 4*v(n).\nAnswer: 6*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2 + f + 7 + 0. Let h be r(-4). Let v = -709 + 710. Are v and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 819 divided by -39\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 + 33*n + 142. Calculate i(-21).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the third derivative of a**5\/150 + a**4\/10 + 3*a**3\/5 + 4*a**2. Factor i(u).\nAnswer: 2*(u + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 106, 213, 342, 493, 666?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1801771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 32 = 4*c - 7*g, 0 = 4*g. Solve m = -3*m - c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, 3, -295, 11 in ascending order.\nAnswer: -295, 0, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*-0.17.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.253 - 0.053. Let o = 2 + -6. Let i = -6 - o. Sort j, -4, i in increasing order.\nAnswer: -4, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -5*m**3 - 7*m**2 - 18*m - 35. Calculate p(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1*sqrt(1728) - (5 + sqrt(1728) + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 10:11 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v + 6. Let r be t(-4). Suppose -5*b = 4*j + 372, -r*j = b + 3*j + 66. Let f = b + 76. Solve 15 = -3*y - f*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, 17, -2 in descending order.\nAnswer: 17, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 30 = -4*s. Suppose 0 = -4*a - h + 26, -6*a + h = -3*a - 16. What is the highest common factor of a and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1998.3 and 59.\nAnswer: 117899.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 617 in 87964, 4\/3, -4, 0, 1\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 4 = 5*u, -2*k - u = -4. Which is smaller: k or 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 5 = -0*n + p, 2*n + 15 = 3*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d**2 + 26*d - 14. Let s(n) = 35*n - 531. Let j be s(15). Let y(k) = -k**2 + 9*k - 5. Determine j*a(q) + 17*y(q).\nAnswer: q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lrb when three letters picked without replacement from lhpburbulrrulbp.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4030511092 to the power of 1\/3, to the nearest integer?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 1 = -3*w - 9, -3*w = 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*z - 264 + 49 = 823 + 609 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1*6040301\nAnswer: -6040301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -291459333 divided by 107\nAnswer: -2723919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*l - 68 = 30*l + n, -4*l = -n - 53 + 17 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7499 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -375306437.3 to the nearest one million.\nAnswer: -375000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 + 3*u. Let f be o(3). Suppose 0*t + 3*t - 3*h = -9, -3*h + 15 = f. Let z be (t\/(-6))\/((-1)\/6). Solve 5*p + 9 = z*r, -p + 3*r - 10 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -157 + 145. Let a be ((-27)\/84)\/(f\/1104). Is a greater than or equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 - 9*x**2 - 7*x + 11. Let h be r(-8). Suppose -h*c + 4*f + 31 = 0, -4*f - 49 = -3*c - 2*c. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-31245)\/(-2)*10\/24. Suppose -2*x = -4*l + 13016, 4*x + 60*l = 61*l - 26067. Let w = k + x. Calculate the common denominator of 13\/8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/468 and 200\/1404*((-6)\/8)\/((-84)\/(-140)).\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 4\/7*v + 4\/7*v**2.\nAnswer: 4*v*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*b = 693*b - 499572816. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 0 - 3. Suppose 2*j - 9 - 1 = 2*b, -3*b - 17 = -5*j. Let q = r - b. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 4*a - 24 = 0, -2*a + 30 = 5*m - 5*a. Suppose 4*x - 5*o = -52, -x = -m*x - 2*o - 32. Is x bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 3*z = 3875, -1936 = 4*j - 6*j - 2*z. What are the prime factors of j?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -174.51, 4\/5, 5, 2\/15?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {f: 1, h: 2, s: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 804456\/869 or 925?\nAnswer: 925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 272, 378, 484?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4877654, 4877468, 4877164, 4876748, 4876226, 4875604?\n\"Answer: o**3 - 65*o**2 + 2*o + 4877716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198 is divided by 49.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ohoohhh. Give prob of sequence ho.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*k - 1660 - 1668 + 4418 - 1090.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(2\/11)*z*z*z\/(z*z*(z*z**6)\/z*z))\/(z*z**(2\/25))**6)**(6\/19) assuming z is positive.\nAnswer: z**(-1068\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of -4*z**3\/9 - 16*z**2\/3 - 16*z - 17. Determine i, given that c(i) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-42)\/12*8\/(-7). Suppose a*l = -4*o + 60, -l = l + o - 30. What is the tens digit of 5*4*l\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q - 1944 + 1932 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - t - 8 = 0. Suppose 4*h = 4 + 4, 3*n + t*h = 2197. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 925.7612 millilitres in litres?\nAnswer: 0.9257612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15684480 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1190945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/(-264) - (1945\/110 - 13).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1543402 and 194236.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 150752 - 8?\nAnswer: 150748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1124 is divided by 164?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -150512 (base 6) in base 2?\nAnswer: -11100001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 25dd + -6a4?\nAnswer: 1d39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 5:07 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*a**2*d**3 - 18*a**2*d**2 + 3*a**2*d - 4*a**2 + 13*a*d**2 - 832*a*d + 4*a + 2*d**3 - 2*d wrt a.\nAnswer: 6*d**3 - 36*d**2 + 6*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 50*p - 2216. Determine w(44).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -358302.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3161688?\nAnswer: 2, 3, 103, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -7*p + 3*p - 219*p**2 - 1 + 3*p - 91*p**2. Let z be m(-1). What is z rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1795412 = -843*w + 1862009 for w.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 799464?\nAnswer: 2, 3, 33311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w + 13. Let o(g) = -6*g - 162. Let s be o(-29). Determine n(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5638 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-8))\/((-41)\/(-656))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -32*d - 12. Suppose -16*z = -4*z + 12. Is j(z) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z**2 - z. Let t be k(-1). Let f be 6\/24 - (t - -1). Let b = 4318\/13 + -332. What is the second smallest value in b, f, -6\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - f**2 - f + 2. Let p be g(-3). Let z = -35 - p. Let m(c) = c. Let r(h) = -2*h. Let w(y) = 10*m(y) + 3*r(y). Calculate w(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g**5 - 11584*g**4 + 369012*g**3 - 3202874*g**2 + 4146495*g + 1751850 = 0. What is g?\nAnswer: -3893, -1\/3, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -129.4425687 + 1.4428647. Let h = 128 + q. Round h to five decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 8) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.06 + -1.081. Let u = 1.521 + r. Let q = 0 - 1. Which is the third biggest value?  (a) -3  (b) q  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -362811, -726120, -1089429?\n\"Answer: -363309*g + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of x**8\/84 - x**5\/20 - 2*x**2 - 3*x. Let c(t) be the first derivative of d(t). Find the third derivative of c(i) wrt i.\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3421917302 and -6.\nAnswer: -3421917308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-412)\/(-5) + (-12)\/30. Suppose -4*t + 4*s + 972 = 0, -733 = -t - 2*t + 2*s. Let z = t - i. What is the highest common factor of z and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**2 + 3*d - 9. Suppose 0 = 5*a - 25, 2*y = -y + 3*a - 3. Does 5 divide p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 44\/3 and -85\/936.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 - x**2 - 3*x + 5. Let j(b) = 2*b - 4. Let n(c) = -2*c + 2. Let l be n(2). Let q(a) = a**3 + 3*a**2 - 2. Let k be q(l). What is k*d(t) + 3*j(t)?\nAnswer: 2*t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 206\/5 - 3512\/85. Let l = 5\/67 - 450\/1541. Let j = -38\/69 - l. Which is the closest to t?  (a) 3  (b) j  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11133593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 818600 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 292692 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*u - 22*u - u - 7*u - 6*u + 43*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 878*p**2 - 25*p + 37. Let v(t) = -4*t**2 + 6*t + 1. Let x(r) = a(r) + 2*v(r). What is the second derivative of x(u) wrt u?\nAnswer: 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 950, 111, -2\/7, 3\/5, -15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8\/5, -0.0229, 0?\nAnswer: -0.0229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {l: 3, t: 3, e: 6, y: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*x - 9 = -a - 10*x, 0 = -9*a - 5*x - 83 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 - 8*x + 2. Let z = -10 - -2. Let v be u(z). Do 8\/7 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179730.\nAnswer: 2, 3, 5, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 86956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2408*i - 481698. Calculate h(-200).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -3*s - 965, 4*s - 720 = 5*r - 3122. What are the prime factors of r?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2 - 137098702*o - 137098704.\nAnswer: 2*(o - 68549352)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30*v**2 + 15 - 15)*(0*v + v + 0*v).\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -142, -141, -138, -133?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = -6*z + 23 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -217 (base 14) to base 13\nAnswer: -25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -2*l + 70. Suppose -x + 24 = 4*t, -2*x + l = t + 3*x. Suppose -w + 254 = t*y - 4*w, 2*y + 4*w - 86 = 0. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3434 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -13*b + 72. Let i(m) = -3*m + 17. Let x(p) = -2*g(p) + 9*i(p). Determine x(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -i - 10. Solve 0 = -o + 4*x - 1 - 17, -4*x = -i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18995?\nAnswer: 5, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 178 and 15.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-20)*-1)\/(1964\/36825)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4561, 4879, 5199, 5521, 5845, 6171, 6499?\n\"Answer: u**2 + 315*u + 4245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16569 is divided by 1368.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 7*6\/(-8)*(-12)\/9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 236295153 to the nearest integer?\nAnswer: 15372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10156 is divided by 143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2 - -0.1. Let g be ((-682)\/77)\/((-3)\/28). Let m = -82 + g. Which is the smallest value?  (a) 4  (b) t  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 19 = 5*m + 68, -58 = -2*f - m. Calculate the remainder when 171 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 5*g + 15 - 8*g - 9 + 2*g. Let t be v(-3). Do 9 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/k**0*k)\/k*k*(k*k**(-3\/7))\/k)\/(k**(3\/5)*k*k\/(k**(-4)\/k*k)) assuming k is positive.\nAnswer: k**(-141\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 163354673587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200 is divided by 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 1 + 103 - (43 - 45). Solve 5 = -22*a - i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 388, 857, 1440, 2197, 3188?\n\"Answer: 10*x**3 - 3*x**2 + 408*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -306.739 rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of 3\/2*y**2 + 0 + 1\/8*y**4 + 5\/6*y**3 + 3*y. Let z(x) be the first derivative of a(x). Calculate z(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = t - 8, -g = 4*t - 2*g - 10. Solve -t*m - m = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47674251 + 23837124 + 23837127 - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 862104.8 litres in millilitres?\nAnswer: 862104800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {q: 5, m: 5, c: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2992 * 838.\nAnswer: 250.7296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/((-4)\/(-4)*3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = -207*b + 198*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-6))**(-2\/9))**(3\/31) assuming c is positive.\nAnswer: c**(4\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 130168 > 130166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8267 + -5810. Let i = -1526 + a. Suppose 4*u + z - 937 = 0, 2*u - 3*z = 6*u - i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmzttttttzmtzzzzzm. What is prob of picking 3 t?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1246319094 and 642.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 + 9*d**2 - 9*d + 10. List the prime factors of i(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 408 and 816.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c**2 + 4*c + 4. What are the prime factors of g(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express r + r - r + (0*r - 2*r - r)*(2 - 1 - 2) + 14*r - 74 + 74 as x*r + c and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 1 = -2*t - 1, -5 = -4*f + 5*t. Suppose -3*j - j - 5*a - 10 = f, 0 = -3*j - 5*a - 10. Suppose 2\/9*s**2 + j*s + 0 = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 27*z + 2472. Let l be n(65). Let w(c) be the third derivative of -7*c**4\/24 + c**3\/3 - c**2. What is w(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 451\/63 - 47\/7. Suppose -3 + 2 = 5*z + d, -3*z + 2*d + 2 = 0. Factor -f*n - 2\/9*n**4 - 10\/9*n**2 + z - 8\/9*n**3.\nAnswer: -2*n*(n + 1)**2*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -6*d**3 - 10*d**2 - 9*d - 1. Is 17 a factor of f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -152 - 149 + 392 + 55*p - 91.\nAnswer: 55*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 0*h + 5*a = 13, -45 = -5*h - 5*a. Let w(i) = -3*i**2 - 14*i - 25. Let c(m) = 5*m**2 + 21*m + 38. Let y(b) = 5*c(b) + 8*w(b). Determine y(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -36 + 39. Let b = 21 + -19. Suppose -2*z - 13 = -b*f - 3*f, 5*f - 21 = 4*z. Sort 4, t, f in descending order.\nAnswer: 4, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7562073*a**2 - 3781030*a**2 - 3781014*a**2 - 1.\nAnswer: 29*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qmqq when four letters picked without replacement from {t: 2, q: 7, m: 5}.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1310 + 1464. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.2255 nanometers in centimeters?\nAnswer: 0.00000162255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-60) - 19\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.34623 * -0.1\nAnswer: 0.034623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - u**2 - 21*u + 11. Is r(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1377\/10 + -136. Find the common denominator of q and 115\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13493060 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -31\/4?  (a) 4  (b) 2\/17  (c) -1  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*t**4 - 1 + 8*t**4 - 2*t**2 - 13*t**4 + 3*t**2 as u*t**4 + v + s*t**3 + d*t + l*t**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4909, -5194, -5469, -5728, -5965, -6174, -6349, -6484?\n\"Answer: d**3 - d**2 - 289*d - 4620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 17\/9 + (0 - 2). Let z = 0.99 - 0.69. What is the closest to -3 in p, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4104\/(-95))\/36)\/(-4)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*f - 4 + 5 - f.\nAnswer: 17*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 70106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 470.8706 milligrams in nanograms?\nAnswer: 470870600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-153)\/42*(21\/15)\/((-126)\/(-120)) - -7\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -13 + 14. Let q(n) = c - 3*n + 8 - 4. Let b(a) = -a + 1. Suppose -44*z + 13*z - 62 = 0. Determine z*b(g) + q(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68 = -66744*i + 66746*i + 3*g - 56, 0 = 3*i - 4*g + 154 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1071 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.39 + -0.3. Which is bigger: 0.1 or f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + y - 21, 5*y + 7 = 3*k - 2*k. Calculate the least common multiple of k and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2061 - 3354?\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37, 58, 13, -134, -419, -878, -1547?\nAnswer: -2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (-12 - (-5 + -8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 + 2*p - 3. Suppose 5*l + 4 = -3*c, 5*c - 5*l + 17 = -3*l. Let m be g(c). Let a be (3 - 1)*(-1)\/(-10). Is m < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1566541760 - -2?\nAnswer: -1566541757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8897 by 25.\nAnswer: 8897\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5019 - 4848. Calculate the highest common factor of 14592 and n.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2838.14 minus -5?\nAnswer: -2833.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 341*j**2 - 14*j - 69. What is the thousands digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 minus -10218804519754?\nAnswer: 10218804519753.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 49164*-39\nAnswer: -1917396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -9 + (3 - -5) - (-11 + 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1227 = -7*v + 4*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -2*v - t + 7, 4*t + 2 = -v. Suppose -165 - 45 = -3*i. Calculate the highest common divisor of i and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 20 = -5*v - 38, 3*v = -5*p + 176. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -9993 - 6*m**2 - 143*m - m**2 - 271*m + 2*m**2 - 6*m**2. Let i(z) = 10*z**2 + 412*z + 9994. Let c(q) = 7*i(q) + 6*u(q). Find t such that c(t) = 0.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1187 - 1188 + u - 523.\nAnswer: u - 2898","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 26084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 3358 + 2314 = -5*f, f = 5*k - 9446. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4465939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 32.8670603953 - 0.1.\nAnswer: 32.7670603953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*d**3*l**3*p - 3*d**3*l + 434*d**3*p**2 + 20*d**2*l**3*p**2 + 27*d**2*p**2 - 2*p**2 wrt d?\nAnswer: 12*l**3*p - 18*l + 2604*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2506, 5005, 7504, 10003, 12502, 15001?\n\"Answer: 2499*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 40 - 15 = 0. Suppose 2*q = 3*y - 9, -y = -q + 3*q - r. Suppose 0*w + 99 = q*w. What is the remainder when w is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2358666 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u - 125. What is i(0)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -d**4 + 58895*d**3 - 176631*d**2 - 2650315*d + 10306100 = 0.\nAnswer: -7, 5, 58892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(80)*-6)\/(sqrt(160) + -2*-1*sqrt(160)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2611 + 5?\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -10 + -877?\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + 5*k**2 + 3*k - 3. Let z be v(-4). Let w(n) = -1. Let o be 8 + 43\/(-5) - (-972)\/270. Let i(m) = -3*m + 1. Give o*w(y) + z*i(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -48626*d**4 - 19*d**3*k**3 + 859542*d*k + k**3 + 1 wrt d.\nAnswer: -583512*d**2 - 114*d*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 3:50 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -13 + 23 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4\/13, -1.29, 1\/5, 0.397, 3, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-86)\/34)\/(((-144)\/306)\/8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 988780?\nAnswer: 2, 5, 13, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.73 - 1.27. What is the smallest value in -2.3, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.94 + -0.06. Let a = j - -1.8. Is 0.05 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -69, -587, -1105?\n\"Answer: -518*q + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 661 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 61613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -71609 + 23?\nAnswer: -71586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-21)*(-156)\/(-13).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 6, 2*g + 0 = -3*w - 3. Suppose 1 = g*z - 5. Solve z*t + 1 = -9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3265*c - 3373 wrt c?\nAnswer: 3265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -21, -6, 7, 18?\n\"Answer: -v**2 + 18*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 6*o**2 + 7*o + 6. Let i be c(-5). Let v be (4\/(-6))\/(2\/6). Let f = v + -1. Is i less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of 0*l**3 + 0 + 5\/2*l**2 + 1\/12*l**4 - 5*l. Let v(q) = q**2 + 3. Give 3*m(u) - 5*v(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -77*d**3 - 2*d**2. Let q(g) = -153*g**3 - 5*g**2. Calculate 5*b(s) - 2*q(s).\nAnswer: -79*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 15*q**2 - q + 2. Give g(-2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -8853, 5, 252, -0.1, 1 in ascending order.\nAnswer: -8853, -0.2, -0.1, 1, 5, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 262 = 4*i + 230. Solve -6*r = -i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/1*((-2)\/(-3))\/(-1). Let j(b) = 2*b. Let a(q) = 3*q. Let n(d) = -4*a(d) + 5*j(d). What is n(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 417 + -282. Suppose d - 72 = -2*u, -b = -5*u - d + 45. Suppose -14 = -2*m + u. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 1 + -4 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.3 + -0.3. Let n = 2\/1971 - -92633\/3942. Let t = n + -24. Sort t, -0.3, i in decreasing order.\nAnswer: i, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 - -10 - (-1 - -3). Let p = -8 + 17. Suppose k*f = p*f - 2900000. What is f rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.3, -1\/4, -0.4, -12273\/8, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -6*b. Let p(i) = -11234*i. Let r(d) = 82*d. Let t(o) = 3*p(o) + 410*r(o). Give v(t(j)).\nAnswer: 492*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8274934.\nAnswer: 2, 79, 83, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of 977*p**6\/15 - 2411*p**4\/12 + 12*p - 48. Find the third derivative of m(z) wrt z.\nAnswer: 46896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 6*h**2 - 10*h - 87. List the prime factors of w(-16).\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 176 is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4516 - 1?\nAnswer: 4515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 5\/6  (b) 3\/5  (c) 2  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 89*o**3 - 3*o**2 - 16. Let t(n) = 88*n**3 - 3*n**2 - 13. Determine -4*m(c) + 5*t(c).\nAnswer: 84*c**3 - 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 144*l + 147*l + 217, -143 = -3*z + 5*l. Calculate the remainder when 61 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**3 + 25*j**2 - 78*j + 232. Calculate h(-28).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*v - 4*j + 24, 0 = -4*v + j - 50 + 33 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1576471 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 1. Let t(j) = 8*j**2 + 2*j + 7. Let z(m) = m**2 - m - 1. Let d be z(0). Give d*t(i) + 6*c(i).\nAnswer: -2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -3*v - p, -3578*v + 3580*v - 10*p = 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 33550\/1469 or -6\/7?\nAnswer: 33550\/1469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 786741651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 times -0.25?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-u + 4*u + 3*u)*(0 + 0 - 3) + 0*u - 5*u + 4*u + (-10 + 15 + 13)*(u + 2*u - u) to n + p*u and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v**2 + 11*v - 67. Let g be q(-15). Suppose -207 = -50*d + g. What is the remainder when 31 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28508?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58959.6km to centimeters.\nAnswer: 5895960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -191 - -958\/5. Let u = 7.1 - 3.1. Which is the second biggest value?  (a) 3  (b) x  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 316910 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 164298982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**2*l)\/l**12)**37*l**(3\/11)\/(l**(-2\/5)\/l)*l\/(l*l\/(l*l\/l**(3\/5)))*l\/(l**(-6)*l) assuming l is positive.\nAnswer: l**(-23976\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.34 + -6.91. Let p = 16.27 + v. Let w = p + -13.700000259. What is w rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -224 = -3*y - 53*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 12 = z + z, -3*z - 3*u + 36 = 0. Suppose z = 3*a - 4. Solve 0 = -2*b - k - 10, 0*b + k = -a*b - 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/2*(-32)\/240*6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 y, and 2 q when four letters picked without replacement from {i: 2, f: 1, y: 4, q: 2, d: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 822515 is divided by 288.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -374*f + 33784. What is o(92)?\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9888 and 337737?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*q = -1607*q - 2071*q - 2583*q - 421363 for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -0.88942?\nAnswer: -0.88942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -41, 35, 197, 475, 899, 1499?\n\"Answer: 5*h**3 + 13*h**2 + 2*h - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1599 or -7257?\nAnswer: -1599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109*c + 99*c - 169*c - 2184 = 0. Calculate the highest common divisor of c and 6152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -167\/355 + 5\/71. What is the fourth smallest value in n, 4, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 1)*(-228)\/(-648) + ((-2755)\/171 - -17)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g. Let b(n) = -n - 1. Let o(d) = 2*d + 4. Let i(l) = 4*b(l) + o(l). Give w(i(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18337368?\nAnswer: 2, 3, 7, 31, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = 5*w + 25. Let s(u) = -u**2 - 11*u + 17. What are the prime factors of s(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -936 and -0.05.\nAnswer: -936.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41\/3 + 43\/3. Sort y, -0.3, 0.\nAnswer: -0.3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*n + 22*n - 58*n = -893304. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**3\/15 - 4*t**2\/3 + 62*t\/15 - 4 = 0.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = 2*i - 0*i. Let a be i\/(-7) + (-1)\/7. Suppose 5*t - 8 = a*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-10)\/50 - 1)*5\/2. Put 4, -0.4, a in descending order.\nAnswer: 4, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222095 is divided by 1308?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50400 + 6 + -11 - 14*(-2)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 625*f - 6151 = 5724 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by -2914.\nAnswer: 9\/2914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 103 - 102. Let h = -0.5 + 0.37. Let p = -0.13 - h. Which is the closest to -1?  (a) -1  (b) o  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h - h + 0*h + (1 + h - 1)*(0 + 1 - 3) + h - 3 + 3 + (2 - 3 + 3)*(-h + 6*h - 2*h) - 3*h - h + 2*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 32418 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (24 + -22 - 18 - -24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 + 13*r + 26. Let x be i(-11). Let z(d) = 4*d - 11. Let s be z(x). Solve -2*c - 3*y + 6 = 0, c + s*y - 5 - 12 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/(-195) + (6336\/(-180) - -35)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8646232 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + z + 228 = -3*z, 3*s + 5*z - 147 = 0. Suppose 4*a + m - s = -0*m, -78 = -5*a + 4*m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -5*j**2 - 5*j - 4. Let c(i) = 3*i**2 - 3*i - 3. Let p(l) = -10*l**2 + 10*l + 10. Let w(s) = 7*c(s) + 2*p(s). Give r(m) - 4*w(m).\nAnswer: -9*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hii when three letters picked without replacement from hoohohhiiihcihih.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(17) - sqrt(153))**2 + 1*sqrt(17)*2 - (-2 + (sqrt(68) - (-2 + sqrt(68))**2)))*-6.\nAnswer: -876 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21087 and 4819977?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -c**4\/2 - 19*c**3\/3 - 7*c**2\/2 + 20*c + 1657. Determine d(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2026?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 84473340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -69 + 69. Let r = -0.2 - 0.8. Let d = r - 2. Which is the second biggest value?  (a) w  (b) d  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 127153525, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 239 + -226. Put 5, -1\/2, 4, p in decreasing order.\nAnswer: p, 5, 4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(320)*3.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 54*g**2 + 24*g + 12. Let r = -220 - -208. Let u(c) = -c**2 + 2*c + 1. Let k(i) = r*u(i) + d(i). Let x(w) = -2*w. Determine k(x(o)).\nAnswer: 264*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - ((-91)\/(-39))\/(360\/(-216)*7\/(-5)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 216*i = 166*i - 200 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/11, -0.3, -15\/29, 0.96?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 19652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 - 2*w**2 - w**2)*(-2*w - 2 + 2)*(-1765*w**2 - 1599*w**2 + 2073*w**2).\nAnswer: -5164*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 4*w + 7. Give v(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 3*x = -65, 3475*w - 1736*w - 1744*w + 5*x - 365 = 0 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*a + 60*a + 1024 = 103*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 123 - 4 - -2 - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 1891 = -w + 136, -5*w + 3365 = 5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47 = 2*n + 51 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, -3, 11, -6, 804 in decreasing order.\nAnswer: 804, 11, 4, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 157*n**2 + 329 with respect to n.\nAnswer: 314*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -132 (base 4) to base 9\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65, -131, -197, -263, -329?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -493, -492, -499, -520, -561, -628?\n\"Answer: -f**3 + 2*f**2 + 2*f - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 4*t + 19 = 0, -5*y - 12*t = -9*t + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 - 5*v - v**3 - v - 8 + 4*v to r + a*v**3 + x*v + h*v**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -8, -68, -176, -338, -560, -848?\n\"Answer: -m**3 - 18*m**2 + m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 30.202 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 13*g**2 - 29*g - 11. Let c be x(13). Suppose 95*i - c = 92*i. What are the prime factors of i?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43058, -43181, -43304, -43427?\nAnswer: -43550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106673592?\nAnswer: 2, 3, 83, 53551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -27 - 156*b + 499*b + 27 as z*b + f and give z.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17\/((-221)\/39))\/(42\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 54*p**3 + 2*p**2 + 21*p - 50. Does 27 divide t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 + -5 - (5 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3342*r + 391*r - 82126 = 0 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.3167 - 0.0167. Let m be 1\/((2 - 6) + 3). Which is the third smallest value?  (a) 0  (b) m  (c) r  (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 415*d. Let f(n) = -10*n**2. Calculate w(f(q)).\nAnswer: -4150*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -4*s + 1. Let i(c) = -118*c**4 + 4*c**3 + 24*c - 3305. Let t(m) = -6*d(m) - i(m). What is the first derivative of t(q) wrt q?\nAnswer: 472*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -2*i**2 - i + 2. Let p(a) = 339*a**2 + 333*a**2 - 671*a**2. What is -k(t) - 3*p(t)?\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 432\/(-81)*3\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28\/2885 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 283*a**2*n**5 + 140496*a**2*n + 2*a**2 - 6613*a*n**5 - 2*a*n wrt n?\nAnswer: 5660*a**2*n**3 - 132260*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 268 = -d + 5*d. Let x be ((-24)\/(-30))\/(0 - (-4)\/10). Suppose -x*l = -3*l + 4*v + 1, -5*v + 88 = 4*l. Calculate the remainder when d is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 45 - 44.953. Let d = -7.447 + b. Round d to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1005513 (base 9) to base 5\nAnswer: -114114003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-36)\/(-90)*-2*(1 - 9\/4). Which is the second biggest value?  (a) 2  (b) -0.1  (c) h  (d) 1\/5  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19 less than -1148003?\nAnswer: -1148003.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33.43475 litres to millilitres.\nAnswer: 33434.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29668706 or 148343537\/5?\nAnswer: 29668706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233124553 (base 6) to base 11.\nAnswer: 2501618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -68*g - 1. Let z be v(-1). Let a(h) = -h**2 - 7*h - 4. Let n be a(-11). Let k = n + z. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 14.20828l?\nAnswer: 14208.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 2*x + 308 + 674, 8 = -2*x. Let o = 1077\/2 + l. Let d = -8363\/4 - -2079. What is the common denominator of d and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 6, 25, 54, 93?\n\"Answer: 5*y**2 + 4*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 132*p**3 - 53*p**3 + 205*p**3.\nAnswer: 284*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bba when three letters picked without replacement from {o: 7, n: 2, b: 2, c: 2, a: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 2*r - 88, 5*n + 16 = -3*r + 115. Differentiate -51*i - 7 + 51*i + 9*i**4 + n wrt i.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 18 = 4*k, 0*a + 5*k + 9 = -2*a. Let d(r) be the first derivative of 0*r**a + 0*r**2 + 1\/2*r**4 - 2 + 2*r. Differentiate d(x) with respect to x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 268*s**2 - 7*s**3 - 1 + 1 - 265*s**2.\nAnswer: -7*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 90, 354, 794, 1410?\n\"Answer: 88*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23 + -24. Let n(j) = -j - 1. Let h be n(d). Let o(q) = -q + 163. Is o(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/13)\/c*c\/(c\/c**31)*(c*c**(-7))**(2\/27))**(-40) assuming c is positive.\nAnswer: c**(-137960\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5078 is divided by 151.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 14*r**3 + 92*r**2 - 2210*r + 4045. Let u(t) = 3*t**3 - t - 1. Let n(k) = -3*p(k) + 15*u(k). Suppose n(w) = 0. Calculate w.\nAnswer: 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**4\/a)\/a)\/((a**(-6)*a)\/a)*a\/((a*a**0*a)\/a)*a*a*a*a**(-4\/5)*a*a)**(-45) assuming a is positive.\nAnswer: a**(-549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -15, 0 = -4*b + 2*b - y + 59. What is the greatest common factor of 308 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 20171 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 194 divide 697133180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 24.4349093 to 1 dp.\nAnswer: 24.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 105\/6 - 4\/8. Solve 0 = -5*j + 7*t - 3*t + b, 4*t = -j + 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1017  (b) -53\/133  (c) 1\/30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.54662 + 5.546859041. What is v rounded to six dps?\nAnswer: 0.000239","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112) + 3 - -3*(sqrt(28) + sqrt(7))) + ((((1*sqrt(231) - sqrt(231)) + sqrt(231) + sqrt(231))\/sqrt(11))\/sqrt(3))**2.\nAnswer: 31 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8684948787 to the power of 1\/2, to the nearest integer?\nAnswer: 93193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 496 + -322. What are the prime factors of d?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u**3 - 6*u**2 + 9. Let w(x) = 8*x**3 - 17*x**2 + 26. Calculate 11*v(m) - 4*w(m).\nAnswer: m**3 + 2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-1)\/(-22)*-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 l when four letters picked without replacement from llllpspllllfpl?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + -5 + (-2 - -4). Suppose m = 5*g - 179 + 24. What is the remainder when g is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -350 + -40.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 40\/33 + -6\/11. Let s = -1.81 - 0.19. Which is the second biggest value?  (a) o  (b) -5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -10 + 12*w**2 + 98*w - 98*w. Let q(d) = -d**2 + 1. Let s(g) = -o(g) - 10*q(g). Let m(a) = -9*a**2. Calculate m(s(h)).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10.87 + 0.13. Let o = 3 - y. Let s = 34108 + -238758\/7. Which is smaller: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1097, 1098, 1099, 1100, 1101, 1102?\n\"Answer: q + 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*(3 + (-1 - 0)). Let z be 3 - 3\/((-2)\/k). Solve 5*r + 2 + 13 = z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 4*w**2 - 33*w - 1202. What are the prime factors of h(-44)?\nAnswer: 2, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 438 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, p: 3, v: 1, k: 1, w: 1, g: 6}. Give prob of sequence wv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49422 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142469772 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 726552 divided by 3?\nAnswer: 242184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31 is divided by 2\/(-4)*34\/17*-11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64410 divided by 21470\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 3 - 7. Sort z, -7, -4 in increasing order.\nAnswer: -7, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -6. Let d(i) = 3 + 4*i - i**2 + 5*i**2 - 2*i**2 - 3*i**2. Let q be d(5). Which is the third smallest value?  (a) q  (b) v  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2369*z**4 - 9*z**3 - 95*z**2 + z - 36 wrt z.\nAnswer: 56856*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-6) + 142\/4. Suppose -3*x + 5*a = 2*a - p, -2 = -a. What is the highest common factor of x and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4392955 by -14035.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-224)\/(-120) - (-4)\/30. Calculate the greatest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 18 + 2*r + 2*r + 0*r - 5*r. What is j(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/13 - 818*m\/13 + 30828\/13.\nAnswer: 2*(m - 367)*(m - 42)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l**3 - l - 72*l**2 - 69*l**2 - 12*l**4 + 146*l**2 to the form s*l**3 + a + q*l + r*l**4 + u*l**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 7*b + 84. Let g be o(-9). Is 175416\/g - 1\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c + 2*c - c)*(-1 + 1 + c**3) + 5*c**4 - 4*c**4 + 0*c**4 - 812*c**4 + 19847*c - 19847*c + (2 - 2*c - 2)*(0*c**3 + 0*c**3 + 2*c**3).\nAnswer: -810*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2000202211011 (base 3) in base 16?\nAnswer: 10732c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -81, -685, -2311, -5469, -10669, -18421, -29235?\nAnswer: -43621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*t - 2*t + 0*t + 9*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 + 3*q**2. Let w be (-48)\/(-27) - 8\/(-36). Let b be w\/(-19) - 2808\/(-684). Let t(k) = 2*k**3 + 4*k**2. Calculate b*h(u) - 3*t(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 188*w - 13 - 93*w - 95*w + 2*w**2.\nAnswer: 2*w**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 2*u**2 - 4*u + 2. Let j be q(3). Let g be (0 - j)\/(3\/33). Suppose 3*o + 4*m = -5, 0 = o + 4*m + 4 + g. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 5:24 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**2\/3 + 5060*v\/3 - 34685.\nAnswer: -5*(v - 991)*(v - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1570358 is divided by 220?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-31)\/(3906\/(-840))*3\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158 + 317 - 2*j - 159.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -5*b - 10. Let n be o(-3). Solve -4*k = -p - 2, 13 = -4*p + n*k + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of -i**5\/60 - i**3\/6 + 9*i. Let q(r) be the second derivative of z(r). Let h(p) = -10*p**2. Determine q(h(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 3*u + 5*f - 93, -f - 149 = -4*u. Let g be -2 + 1 - (-1 - u). Let l(t) = 2*t + 85. Let d be l(5). Calculate the greatest common factor of d and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -75*x**2 + 60*x - 10. Let q = -36 - -21. Let l(r) = 525*r**2 - 420*r + 69. Let v(m) = q*d(m) - 2*l(m). Factor v(k).\nAnswer: 3*(5*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35774 + 585 = 4*n + i, -i = -3. What is the greatest common divisor of n and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*g - 10*g + 25 = 2*s, 4*g = -4*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (54\/8)\/(-11 + (-135)\/(-12)). Let i be (-21)\/(-8) - (-1)\/(72\/h). Suppose 2\/9*y**2 + 4\/9*y**i - 2\/9*y**4 - 4\/9*y + 0 = 0. What is y?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.6 - -1.4. Suppose -4*w + 12 = 0, 497*l - 501*l - 3*w = -5. Which is the nearest to 3\/2?  (a) z  (b) 0.4  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + b**2 + 4*b. Let q be i(0). Suppose q = 169*t - 174*t + 590. List the prime factors of t.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -22*x**3 - 43*x**2 + 131*x + 8. Calculate t(3).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 36448\/(-11390) + (-61)\/(-20)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 257 - 179. Let i = j + -50. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.417 - -1.32. What is w rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43123515 (base 6) in base 7?\nAnswer: 13542206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -960*x**6 + 18*x**4 - 81793*x**2 wrt x.\nAnswer: -115200*x**3 + 432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + -113. Let v = 198 + x. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15 + -32?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 6*p - 61. Let v be 4*(-1 + (-165)\/p). Let k = -34 - v. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -27 - -255. What is the units digit of (1 + 0)\/(6\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1080)\/432*(2 + (-170)\/(-25))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from slsslysslsllllyllyy. Give prob of picking 2 s.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -23*r - 240. Calculate the remainder when (9 + -6)\/(6\/428) is divided by h(-12).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, h: 1, u: 6, q: 2}. What is prob of picking 1 w and 2 u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2000120 (base 3) to base 4\nAnswer: -113001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - (5 - 6) - (-4 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.5046 micrograms to nanograms.\nAnswer: 64504.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 700*s - 628 = 704*s, -6 = -2*s. What is the greatest common factor of 17024 and m?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, l: 3}. What is prob of sequence vv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -398623870 divided by -39862387.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -35 + -10?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50 + 13 = -35*l + 208 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -10*s**3 - 3*s**2 + 5*s + 5. Let o(g) = -g**3 - g**2 + g + 1. Let q = 1679 + -1680. Give q*k(x) + 5*o(x).\nAnswer: 5*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of u**4\/8 + u**3 + 4*u**2. Let b be d(-5). Let h = b - -23. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 88.62*-1\nAnswer: -88.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 13272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 4*v + 4 = -0*v, z = -5*v + 1. Let q = 5931 + -5931.5. Which is the second biggest value?  (a) -1  (b) q  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -117\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16545*h*k**6 - 6*h*k**4 - h*k**2 - 16*h - k**2 + k + 215 wrt k?\nAnswer: -1985400*h*k**3 - 144*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (-1 + 1) - (-44)\/22. Let k(l) be the second derivative of 0 - h*l - 2\/3*l**3 - 3\/2*l**2. Give k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*z + 11 - 28*z - 25 - 23 - 7*z as q*z + d and give q.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -4, -34 in ascending order.\nAnswer: -34, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 1*((sqrt(363) - -4*sqrt(363)*-1) + -4 + (3 + sqrt(336)\/sqrt(7))*4))**2.\nAnswer: -272*sqrt(3) + 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.3 + 4.57. Let d = 0.33 - w. Let x = d - 0.155. What is x rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 18*z**3 + 131*z + 55. Let j(a) = -19*a**3 - 141*a - 57. Let x(p) = -5*j(p) - 4*n(p). Find the first derivative of x(i) wrt i.\nAnswer: 69*i**2 + 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4895131159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + 3 + 37\/(-7). What is the second biggest value in 2, l, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 239486 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + -2. Let h(w) be the first derivative of -w**4\/4 - 5*w**3 - 15*w**2\/2 - 15*w - 10. Let t be h(-14). What is the nearest to -0.1 in 0, j, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l**3 + 15*l**2 + 2*l + 28. Let d be h(8). Let j be (-15*(-2)\/27)\/(d\/(-24)). Which is the biggest value?  (a) j  (b) -1\/3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -119 + 118. What is the second biggest value in p, 3, -0.3, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -32405, -5, 13, 0 in ascending order.\nAnswer: -32405, -5, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 81*g - 12. Suppose 6*j - 4 - 26 = 0. Is o(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -53\/13633 or 0?\nAnswer: -53\/13633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 2*p - 3 = 2*p - 2*p - 0*p, 3*u + 6*p = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 7 and 1808.\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -890 or -2362?\nAnswer: -890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -125179, -250359, -375541, -500725, -625911, -751099?\nAnswer: -876289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 - 9. Let v(a) = a**2 - 20*a - 28. Let p be v(g). What is p rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1*(sqrt(2448) - (sqrt(2448) + 2*(-2 + sqrt(2448) - sqrt(2448))))*-1*4*3)**2.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (((-48664)\/(-3256) - 15) + -2*(-187)\/74)*-23\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) 3.7  (b) -1\/10  (c) 182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1239818 - -174537. Let f = n + 2095281. What is f rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*x + d + 7, -3*x - 23 = d + 3*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 6*r**3 + 9*r**2 - 5*r + 5. Let u(v) = -v**3 - 2*v**2 + v - 1. Determine -c(p) - 3*u(p).\nAnswer: -3*p**3 - 3*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/((h*h\/(h\/(h**(2\/9)*h))*h)\/h))\/h*h**(-2)\/h)\/(h*h\/(h\/h**(-5)*h)*h**(-1\/2))*(h*h**(2\/15)*h)\/(h\/(h\/h**(-1)))*h**3\/h**(-4\/9) assuming h is positive.\nAnswer: h**(617\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-32.059.\nAnswer: -9.6177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10076*b**6 + 7*b**2 - 47*b.\nAnswer: -1209120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) -0.3  (c) 54  (d) 0.371  (e) 3\/8  (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 8  (b) 0  (c) -0.020096\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -430 + 482. What is the least common multiple of p and 16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -956*s + 1205. Let n(v) = 955*v - 1213. Let k(r) = 9*g(r) + 8*n(r). Differentiate k(y) wrt y.\nAnswer: -964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43378870859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91.47096 years to decades.\nAnswer: 9.147096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -56*o**2 + 2*o + 15 + 57*o**2 + 124 + 10 as t + y*o**2 + f*o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-28)\/b*b\/b**(-1\/4)*b**(-30)\/b*b*b\/b**(2\/11) assuming b is positive.\nAnswer: b**(-2505\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 - 8*c - 1. Give b(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 132 and 432.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16188 - 6497. Suppose -5*j + u + 9688 = 0, -7*j + 12*j - q = 2*u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - f - 32 = -20, -21 = -3*v + 4*f. Factor -552 + 12*s**v + 16*s**2 + 552 - 4*s**4.\nAnswer: -4*s**2*(s - 4)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuumhcumuccuhhmuihi. Give prob of picking 1 m, 1 i, and 1 c.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + b = 8. What is the remainder when 47\/((-2)\/(-8) - 6\/(-8)) is divided by 213\/9 - b\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 131*z + 4. Let l(s) = s**3 - 2*s**2 - 5*s + 6. Let w be l(-6). Let d be ((-4)\/(-6))\/(-7*8\/w). Is v(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -2862, 0 in increasing order.\nAnswer: -2862, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -2 + 6. Let j be (m\/10)\/((-1)\/(-5)). Suppose -j*h + 7*h - 805 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19 * 13.26.\nAnswer: -251.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2621620 (base 9) to base 13\nAnswer: 3b177a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 + 12. Let j(o) be the third derivative of o**6\/10 + o**5\/60 - o**4\/24 - o**3\/6 - o**2. Calculate j(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1514*a - 1 + 4538*a - 1514*a - 1510*a - 2007*a**2 to r*a + v + i*a**2 and give i.\nAnswer: -2007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hcpcpppphcphh. What is prob of sequence cph?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 7 - 1)*(12255 - 12255 - 54*c**2) - 21*c - 15 + 2*c**2 + 23*c + 2.\nAnswer: -160*c**2 + 2*c - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -68 - -64. Let q = 12.36 + -12.43. Let f = 159\/4 + -40. Which is the closest to f?  (a) 2\/9  (b) q  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 4*n + 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u + u**3 - 2*u + 0 + 0 + 10*u**2. Suppose 4*o + 40 = -4*y, -5*y - 2*o = 14 + 36. What is the tens digit of f(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 1 + 14. Let w = 4 + -1. Suppose -4*j = -w + 15. Is j < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r**2. Let m(c) be the third derivative of c**4\/24 + 14*c**2. Calculate m(k(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 80 + -7?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 6 + 4*r - 2 + 3*r**2 - 3*r + 0*r - r**3. Calculate p(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*h)*(0 - 4 + 3) + (-5*h + 3*h + 0*h)*(-3 - 4 + 5) + 19*h + 7*h - 10*h.\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 147.7733 * -2\nAnswer: -295.5466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -10*f**3 - 4*f**2 + 3*f - 5. Let m be v(-5). Suppose 5*d = -m + 275. Is 19 a factor of (-2)\/(1\/(d\/6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (5*(sqrt(76) + (sqrt(76) + (-1*sqrt(76) - sqrt(76)) - sqrt(76))*-4))\/(sqrt(4)*-2*-4 + sqrt(4) - (sqrt(400) - sqrt(400)*1 - sqrt(4))) + 4.\nAnswer: 1 + 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7 - -c34?\nAnswer: c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - o**2 - o - 1. Let t(n) = n**3 + n**2 + n - 1. Suppose -5*u = 5*y + 19 - 4, 2*y - 3*u - 14 = 0. Calculate y*z(r) + t(r).\nAnswer: 2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 26549 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of 0*i**2 - 14 - 16\/7*i**7 + 0*i + 20\/3*i**3 + 0*i**5 + 0*i**6 + 0*i**4. What is the third derivative of b(s) wrt s?\nAnswer: -1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 - a + 1. Let l(h) = -5*h**3 + 5*h**2 + 7*h - 5. What is -l(i) - 5*q(i)?\nAnswer: 5*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 83006761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -256*c**3 + 85*c**2*k**2 + 2*c**2*k + 26205*k**2 + 2*k - 6 wrt c?\nAnswer: -768*c**2 + 170*c*k**2 + 4*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (114\/2)\/(27\/9). Let a = -1 + c. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 630716687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -599*a**3 + 61 wrt a?\nAnswer: -1797*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(55\/2) - 190\/440\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 PM and 3:44 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*b**5*g + 46*b**3*g**2 - b**3*z - 3*b**2 + b*g**2 - 5*g - 2*z wrt b.\nAnswer: 120*b**2*g + 276*g**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -9*x - 132. Let w = 5 - -13. What is the smallest common multiple of w and m(-16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/10896072 and 73\/264?\nAnswer: 10896072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*n + 2740 = -81*n - 265*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**6)**34\/((z\/z**(4\/7))\/z**(-22)) assuming z is positive.\nAnswer: z**(1271\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/7  (b) 0  (c) 4.7  (d) 0.2  (e) 1.098\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1196 - -1782. Suppose 592*x - p*x - 642 = 0. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 2*p - 5. Suppose 2*w = 3*a - 12, -20 = -a - 4*a + 3*w. Suppose a*r + 12 = -2*k, p*r + 2 = -4*k - 10. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 81554?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 144992 and 7380999?\nAnswer: 4531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23 + 22.3. What is the closest to p in -3, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8066 + 13515. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26031 - -1.\nAnswer: -26030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = z - 9. Solve 7*y = 2*y + 3*g - 26, -2*y = -3*g + z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of 4*v**3\/3 + 2*v**2 + 3*v + 14. Let r be j(-1). Solve -s + 2*l = 5, 4*l + 7 - 22 = -r*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(119)\/sqrt(7) + 0)*-5 + 3 + sqrt(425) + -3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4490693)\/1505220 + (-2)\/(-6). Let s = -13\/26574 - -379279\/666661938. Let q = s + k. What is the common denominator of 109\/22 and q?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1307 or 1280?\nAnswer: 1307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -23*w. Let j(m) = m + 463. Determine j(f(a)).\nAnswer: -23*a + 463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 - 4*q**2 + 2. Let n be g(4). Solve 4*b - n = -0*b - 2*u, 4*b + 5*u - 17 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i + 25. Let t be r(11). Suppose 3*a - 1129 + 400 = 0. What are the prime factors of a\/t + 2\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.265 or -6.792?\nAnswer: -6.792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.669 - 4.04. What is a rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1229 divided by 1\nAnswer: -1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37109\/723200 - 3\/5650. What is the common denominator of k and 63\/64?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -824918 divided by -2?\nAnswer: 412459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 276659.7 seconds?\nAnswer: 276659700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l + 36. Let i be t(0). Suppose 9 = 2*r - a - 8, -4*r = 4*a - 40. Calculate the greatest common factor of r and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 + 8*p**2 + 20 + 14*p**2 - 59 + 17.\nAnswer: 22*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 + 4. Suppose 23 = -x + 19. Calculate v(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 14, -28, -130, -304, -562?\n\"Answer: -2*z**3 - 18*z**2 + 26*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.385 to 2 dps.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -4*r + 5 + 7, 0 = -5*h + 4*r - 6. Let n be (28\/77)\/((-14)\/(-847)*11). Solve h*y + 1 = 3*a, -4*y + n = 3*a - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 663 and 42249441?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f - 13. Let i be j(-10). Let t = i + 7. Suppose 84 = 10*v - 56. Solve -o = t*s - 10 + 3, v = 5*s - 4*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 264485 is divided by 912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 - -13. Is s - (0 + 1 - 45) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2576503 divided by -4889.\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*b + 1 - 1 + 66*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 248863593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -296*g + 2936 = -292*g. What are the prime factors of g?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2759 + -2753. Solve 0 = -2*j + 3*w + 19, 18 = -d*j + 9*j - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, k: 2, z: 1, h: 1, v: 2, q: 2}. Give prob of sequence vv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*b + 1876 = 70*b + 66*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 234 + -195. Suppose -4*l = -76 - 8. Calculate the remainder when y is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -535050.\nAnswer: 1\/267525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 858 divided by 4\nAnswer: 429\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 2*b - 195. Calculate the highest common divisor of b and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**(-3\/19)\/w)*w)\/(w\/((w**21*w)\/w)))\/(w**(-8)*w*w**(2\/5)) assuming w is positive.\nAnswer: w**(2827\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 144\/(-18)*(6\/(-4))\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -2*a**2\/7 + 396*a\/7 - 1930\/7 = 0.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.550152 + 83195.386848. Let k = 83357 - p. Let t = 155 - k. What is t rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1325, 29, 4, 0.1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i**2 - 3*i**2 - 3*i**2)*(2*i + 17*i - i**3 + 12*i).\nAnswer: i**5 - 31*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/5, -0.027, -13, 23?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -133 + 144. Is c at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 343 and 18200.\nAnswer: 891800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2\/5 - 400947988*i\/5 - 20094911135156018\/5.\nAnswer: -2*(i + 100236997)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28 - -39. Let l be 2\/1 + (-194)\/(-2). Calculate the highest common divisor of p and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 266503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 10*o**2 - 9*o + 22. Let w(c) = 2*c**2 + c + 1. Let y be w(3). Suppose y + 50 = -8*p. Calculate the remainder when 65 is divided by f(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 4*v**2 + 3*v + 2. Suppose 5*f - 4*l + 1 + 7 = 0, 0 = -5*l - 15. Let p = f + 2. Let y be t(p). Solve 3*z = -c - y, -14 = 4*z - 4*c + 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86514 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -16*a - 14. What is c(4)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*i - 17*i - 7*i**2)*(3*i + 3*i - 5*i) - 196 + 402 + 174*i**3 - 206.\nAnswer: 167*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 5) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19348?\nAnswer: 2, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -81.4 - -75. Let d = -2.6 + s. Is d at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -1, 14, 3, 28459, -3 in ascending order.\nAnswer: -3, -1, -0.3, 3, 14, 28459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -71 - -164. What is the greatest common factor of 744 and a?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685260 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-16)\/(-24)*(-1)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 77*d + 23. Let f be i(16). Differentiate 6*u**4 + f - 1356 + 5*u**4 with respect to u.\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 354 = 34*m. Solve 7*k - 24 = m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 - 7*k + 2. What is the tens digit of i(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28027, -56182, -84337, -112492, -140647, -168802?\nAnswer: -196957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**3\/m)**(4\/13))**(-47)\/(((m*m\/m**(-5)*m)\/((m\/m**(2\/27))\/m))\/((m\/((m**(3\/2)*m)\/m))\/(m\/(m*m**6\/m)))) assuming m is positive.\nAnswer: m**(-22813\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 204520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 32000*t**3 + 600800*t**2 + 2123205*t - 6905610 = 0?\nAnswer: -831\/80, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15.65003ml to litres.\nAnswer: 0.01565003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -380 - 1216 = -19*k. What is the greatest common divisor of 1204 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 + 8*x**2 - 6*x + 5. Let g be b(7). Let j be (-10)\/2*(-30)\/50. What is the greatest common factor of j and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -348 + 345. Suppose 0*v = -2*v + 12. What are the prime factors of ((-3)\/v)\/(l\/504)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -47*h**6\/6 + h**3 - 5*h**2 - 23. What is the third derivative of l(m) wrt m?\nAnswer: -2820*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from {m: 3, r: 1, l: 2, a: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 83300 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 4*s - 2. Suppose 3 = 2*w + 2*n + 7, -4*w + 28 = -5*n. Suppose -a - 3 = -w*a. Let q(k) = -k. What is a*q(u) + b(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and -8095.06225.\nAnswer: -8094.06225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 4*x = -20, -5*x - 8 = -v + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from akylly. Give prob of sequence la.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3673, 7341, 11007, 14671?\nAnswer: 18333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + g**2 - 4*g + 4. Let j be v(-5). Suppose -5*p - 470 = -n, p - 2*n = -33 - 52. Let w = j + p. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7854484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/95*16\/(-6)*48\/(-256).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 60 = -0*s. Let p be s\/2 + 3\/(-2). Let x = -302 - -301.5. Sort p, 5, x in ascending order.\nAnswer: x, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19724600.\nAnswer: 2, 5, 7, 73, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-59 + 15 - -13 - (-14 + -6)) + 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 + 3*x**2 + 22*x - 61. Let d be h(4). Which is the nearest to -2\/7?  (a) 0  (b) d  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1101011020 + 1102?\nAnswer: -1101002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of -l**4\/4 - 3*l**3\/2 - 3*l**2. Let f(h) = h + 1. Let c(v) = 9*f(v) + r(v). Let m(u) = -u**2. Give m(c(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44 + 0*q**3 + q**3 - 3*q**3.\nAnswer: -2*q**3 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.41 = -271803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -62 + 313\/5. Which is the closest to 0.1?  (a) -6  (b) -0.1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 + 18. Let m = -0.8 + 0.5. Which is the second smallest value?  (a) f  (b) 2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -5*q + 6. Let m(i) = i**2 - 19*i - 47. Let d be m(25). Suppose 28 - d = -15*n. Calculate b(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 + 3*v + 38. Let b(c) = -5*c. Let w be b(-2). What is the common denominator of (4\/(-6))\/(w\/(-185)) and f(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29399353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of -11*u**2\/2 - 2*u + 20. What is n(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, h: 2, o: 4, r: 1}. What is prob of picking 1 r and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g**2 - 1916*g + 383 = 0 for g.\nAnswer: 1\/5, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-4 + 6 - (-9 + 128\/12)). Solve 2*r + 5*q + 10 = -3*r, 4*r = d*q - 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/10 - 38\/(-10). Suppose 12 = -3*d, 0*o = 4*o + 3*d - t. Solve 0 = -o*b + 8 - 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 + d + 1. Let m(i) = 24*i**2 - 21*i - 21. Let r(z) = 2*m(z) + 42*p(z). Let f(j) = -j**2. Calculate f(r(t)).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/9 and -43\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 + 10)\/2 + 0. What is the second derivative of -36*j + 4304*j**n - j**3 - 12*j**5 - 4304*j**4 wrt j?\nAnswer: -240*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2321122013023 + 2?\nAnswer: 2321122013031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 7 = -n, 3*n - 6*t = -7*t + 5. Suppose 2*j - 176 + 154 = 0. Let a(r) = 2*r - 6. Let v be a(5). Solve 4*g + 4*d - 4 = 0, n*d - 15 - j = v*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9d3c36 (base 14) to base 16\nAnswer: -51a438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 4*t - 28, -3*t + 21 - 2 = 2*l. Suppose -l*p - 1 = -5. Put 0, -1, p in increasing order.\nAnswer: -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2352 divided by 2352.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x**2 + 8*x - 6. Let b be k(-7). Suppose -183 = -5*j + 3*s + 12, -j - 4*s + 16 = 0. What is the highest common factor of b and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -31031231?\nAnswer: -31031300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17 and 231268?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*6\/(-30)*(-10)\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.423048593 to four dps.\nAnswer: -0.423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -362 - -357. Which is the smallest value?  (a) v  (b) -0.08  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -296\/581371?\nAnswer: -296\/581371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 172814, 172812, 172796, 172760, 172698, 172604?\nAnswer: 172472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25709 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 12  (b) -1  (c) 1  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 6. Let x be 3 - 0 - (f - 2). Solve -6 = -s - 5*k, k = -k + x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 289371 is divided by 3446.\nAnswer: 3353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1630 + -1021. Let p = s - 609. What is the nearest to p in 5, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 + 9*b - 8. Let a(u) = -u**2 + 9*u - 8. Let y(q) = -2*a(q) + 3*k(q). Let w be ((-6)\/8)\/((-9)\/252). Suppose 6*p = 3*p + w. Determine y(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50142.\nAnswer: 2, 3, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 n when four letters picked without replacement from {m: 6, n: 6}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 89321 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -333 + 337. Suppose 0 = -4*y - f*t + 96, -2*y + 0*t = -4*t - 36. Solve 3*b - y + 13 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 11*o + 184. Suppose 52 = 2*h - 4*h. Let t = h + 58. What is the remainder when b(-11) is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d**3 - 6*d**2 - 8*d - 13. Calculate n(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 608631 to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -14849*f + 918 - 1847 + 929 in the form m + o*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 85372095 and 2.\nAnswer: 170744190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2828, 2821, 2812, 2801, 2788, 2773, 2756?\nAnswer: 2737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 4*t - 20, 6*t = 4*m + t - 25. Let h = 206931 + -3102839\/15. Let w = h + -75. Which is the second biggest value?  (a) w  (b) m  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3913 - -3915. Let w(t) be the second derivative of 15*t + 8\/3*t**3 + 0*t**l - 1\/2*t**4 + 0. What is the second derivative of w(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25418 and 639.\nAnswer: 228762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*w - w + 54 - 48 to the form x*w + j and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 0 = -v. Suppose -6 = v*b - 0*b. Let x(o) = -2*o - 2. Let m be x(-3). Put b, m, -1 in descending order.\nAnswer: m, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 167, 340, 513, 686?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 1. Let k = 0.15274 - -3.84726. What is the closest to q in 3, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-1)\/3)\/(-1))\/((-3)\/27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 88  (b) 0.4  (c) 17\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - 14*z**2 + 14*z + 1. Calculate v(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 21516 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 12:21 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + t = -5, t = -0 - 1. Sort -3\/8, s, 0.03, 2\/3.\nAnswer: -3\/8, 0.03, 2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1473762.0087 - -1473908. Let y = u - 146. What is y rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2 + 26194*c + 26193.\nAnswer: (c + 1)*(c + 26193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14.75 - -8.93. Let k = q + 6.02. Which is the nearest to 1?  (a) -5  (b) 1\/3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 4*f**2 - 3*f**2 + 2*f - 163 + 165. Let n be s(0). Suppose 5*i - n*i = 216. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2081 and 31?\nAnswer: 64511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3550\/(-97625) + 383\/(-55).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -20073 + -c?\nAnswer: -20082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = i + 23, 0*v - 2*i = 3*v - 9. Suppose -2*r = -v*r + 42. Suppose 0 = -4*t - t + 490. Calculate the highest common divisor of t and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, b: 4, j: 2}. What is prob of sequence jj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/20 and 15\/4102354.\nAnswer: 41023540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 116 or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -973 - -977. Let s(g) be the third derivative of -7*g**2 + 1\/24*g**q + 0 + 0*g + g**3. What is s(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 126 - 8*y + 2*y**4 + 132 + 335*y**3 - 260 - 6*y wrt y.\nAnswer: 24*y**2 + 2010*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 - 6*3\/6. Let s be -1 + ((-76)\/v - 1). Suppose 5*m - s = 2*o, 5*m + 5*o = 46 + 14. What is the remainder when 24 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1 from 52.2.\nAnswer: 51.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (6*sqrt(51)\/(sqrt(3) - (sqrt(3) - sqrt(3)*4) - sqrt(3)) - (1 + sqrt(68) + -2 + sqrt(68) + sqrt(68) - sqrt(68)))**2.\nAnswer: -4*sqrt(17) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2182 - 2181.9669. Let k = -11.07 + 11.08868. Let h = k - n. Round h to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/1640  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.436 - 0.564. Let j = 1.9 + -2. What is the nearest to j in 2\/3, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -3*m - 29. Let r be f(-7). Let t be -4*(1\/r)\/(4\/24). Solve -l = -t*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -c + 60, c - 5*g - 60 = -2*g. Calculate the remainder when 179 is divided by c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that p**3\/6 + 444821*p**2\/2 + 74199534560*p - 222599270912\/3 = 0.\nAnswer: -667232, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (2*sqrt(76)*-5)\/sqrt(4))*-4.\nAnswer: 4 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 3*g - 4. Let x be y(4). Let h = x + -6. Let k(t) = -t**3 + 6*t**2 - 2*t + 9. Let l be k(6). Sort h, -5, l in ascending order.\nAnswer: -5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 220\/(-6)*(-15)\/(-20). Let s = d + 391\/14. What is the closest to 2\/3 in 2, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-1 - (-4 + (7 - 3)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 80*y + 1. Let a be d(9). Let x = a + -1341. Round x to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 + 14*k - 5. Let d(x) = 5*x + 21. Let o be d(5). Suppose -5*i + 19 = -o. What is the remainder when 31 is divided by f(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 36 = -7*f. Let l be (1\/(-2))\/((-2)\/72). Let y be f\/l + 304\/72. Solve -z = g + 4 + y, -5*g = -4*z - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 475\/20 - 1\/(-4). Suppose -h = 2*h - g. Let k(m) = m**2 - 3*m - 4. Calculate the remainder when k(6) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2725*l = 170286 - 47661 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**4 - 64*s**3 - 502*s**2 - 440*s.\nAnswer: -2*s*(s + 1)*(s + 11)*(s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 3242  (c) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2*j - 5*y = 5, -5*j - 30 = 4*y. Is (j\/4 - -3)\/(3\/2514) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 5*v = -3*d - 65, 5*v + 95 = -4*d + 3*d for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = t + 3096274. Let a = -3708137 - t. What is a rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8382766?\nAnswer: 2, 7, 313, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of 0*l**2 + 0 - 1\/5*l**5 + 17\/30*l**6 + 217\/6*l**3 + 1\/12*l**4 - 276*l. What is the third derivative of b(k) wrt k?\nAnswer: 408*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (0 + 1 - 0). Suppose -6 = -0*q + q + 3*g, 12 = 3*q - g. Suppose 0*y = q*y. Which is greater: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {w: 3, t: 3, g: 12}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -67*z**2 + 6*z - 210*z**2 + 2*z**2 + 16*z wrt z.\nAnswer: -550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 598\/26*(-2)\/14 + (9 - 6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y + 5 - 5*y**2 + 14 - y**3 - 4*y**3 - 14.\nAnswer: -5*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*2\/(-5)*(-275)\/(-44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m - 2 - 4*m - 2)*(m**4 + m**4 - m**4) + 1 + m**5 - 1.\nAnswer: 2*m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -14 + 0 - (-5 + (-3 - 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 10*j**3 + 2*j**2 - 1. Calculate i(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 7:12 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 19476 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5297 to two decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 9975, 19960, 29945, 39930?\n\"Answer: 9985*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -39 + 115. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1148 or -1193?\nAnswer: -1148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -2*l**2. Let v(g) = 991*g. Determine w(v(u)).\nAnswer: -1964162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 1 - 0 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 573689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 60 = 4*q. Let s = 34 - q. Solve 4*m = 3*i, 5*i - i + s = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a + 104. Let d be g(-12). Let o be d\/(-874) + (-186)\/38. Sort 1, 2\/17, 5, o in decreasing order.\nAnswer: 5, 1, 2\/17, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - 6*-8)*(-6)\/(-9). Suppose 0 = g + 25 - x. Calculate the remainder when 89 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - -3. What is the least common multiple of j and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1278674335 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 291164442 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 59 + -57. Let t be (1 + -2)\/((m\/13)\/(-2)). Suppose -w + 12 = -t. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24.91347006 + 24.914. What is m rounded to five dps?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -56 greater than -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**3 - 12*l**2 + 12. Let n(c) = -c**2 + 1. Calculate -f(j) + 12*n(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.43416 + -0.06584. Let n = -9 - -8.91. Which is the second biggest value?  (a) 3  (b) n  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -903*x**2 - x + 0*x - 1709*x**2 - 760*x**2.\nAnswer: -3372*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(1\/12))\/(w**(3\/5)*w)*(w\/(w**(-6)\/w))\/(w\/(w*w**(-2\/5)))*w**(-5)*w**(-4\/7)*w\/(w**0\/w)*w**(-7\/5) assuming w is positive.\nAnswer: w**(817\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1342353927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2287 = -353*a + 1243 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -4\/9741, 4, 5\/6, -4, 14?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 0, 1, -3, -6 in ascending order.\nAnswer: -12, -6, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1\/22, 3, 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + 4*y + 20 - 4, 5*m - 5*y - 45 = 0. Suppose 13 = 5*f - m*g, 3*f - 2*g - 4 = f. Calculate the remainder when 12 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 13) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1\/16798519?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13233 - 3?\nAnswer: 13230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47241480 is divided by 2537.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a, -6*h = -2*h + 4*a - 2248. Let b = 1019 - h. What are the prime factors of b?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/12304872 and -41\/6.\nAnswer: 12304872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 43 = 3*l, 70*l - 108*l + 5*g + 59 = -36*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2.52  (b) -0.175  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 38.9956 - 39.1. Let w = 0.14094 + y. Let j = w + -0.036. Round j to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**4\/3 - 2*g**3\/3 - 7*g**2\/3 - 4*g\/3.\nAnswer: g*(g - 4)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-42)\/(-15))\/(533\/5330)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*1*((sqrt(7) - (sqrt(7) + -3 + sqrt(7)*-2))**2 + sqrt(7))*-2.\nAnswer: 104*sqrt(7) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2325 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/6 and -43\/116136?\nAnswer: 116136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 52800008 = 5*x. Let n be x + 8\/3 + 10\/(-15). What is n rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -63*q + 13. Determine x(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -14*j - 3. Let p(s) = 9*s + 2. Let u = -32 + 24. Let a(w) = u*p(w) - 5*g(w). Let b be 0 + 5 + (-2)\/1. What is a(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13356144 is divided by 310608.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3255\/1240)\/((-12)\/16))\/4.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 137256 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (16\/(-18))\/2 + (-305)\/(-45) + -7. Let g = -11\/35 - -3\/5. Which is the second biggest value?  (a) 26  (b) i  (c) g  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*j**3*t**2 + 123*j**3*t + 7*j**2*t**2 wrt t.\nAnswer: 12*j**3 + 14*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 5*n**2 + 21*n. Let h be o(-5). Solve -3*m = m + h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.064 or -721?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/79)\/q)**(-2\/133)\/(q**(-32)\/(q\/(q**(-34)\/q))) assuming q is positive.\nAnswer: q**(102090\/1501)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -641*m**2. Let j(x) = 107*x**2. Let g(h) = 6*a(h) + 39*j(h). Let d(f) = -f**2. Give g(d(w)).\nAnswer: 327*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 2099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6a2760 (base 12) in base 13?\nAnswer: 479013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of p**7\/840 - p**6\/72 + p**5\/120 + p**3 + p**2. Let t(s) be the first derivative of j(s). What is t(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 18*v + 335. Give y(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*y + 575771648 - 183913640 = -642427992. What is y rounded to the nearest 100000?\nAnswer: -31300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 466  (b) 3\/8  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -113.48 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 3)*(9 + 0 + 10)*(r + 15*r**4 + 10*r**4 - 34*r**4) + (3*r**2 + 4*r**2 - 6*r**2)*(-2*r**2 + 0*r**2 + r**2).\nAnswer: -172*r**4 + 19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/30 of a minute?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-216)\/198)\/(-12) - 1488\/(-88). Let p be (-6)\/(-4)*(-818)\/(-3). Let j be 2\/(-6) + p\/3. Calculate the greatest common factor of j and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1529872 + 3764.74\nAnswer: 1533636.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25 and 810127.\nAnswer: 20253175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1\/105 - 8\/105. Let n = t - -2\/5. Let c = n - 2\/3. Which is greater: c or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -352416, -26\/3, 1 in decreasing order.\nAnswer: 1, -26\/3, -352416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 146 - (-48 - -117) - -14.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3359 + -3362. What is the closest to 1 in -5, 2\/9, n, 61?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - ((-2 - -2) + (2 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1002001222020 (base 3) to base 16.\nAnswer: 8bb54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**3 - m**3 + 7*m**4 + (2*m - m + m)*(-2*m**3 + 7*m - 7*m) - 3*m**4 + 2*m**4 + 2*m**4 - 11*m**4 + 49*m - 49*m.\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168 = 93*w - 51 - 432 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 12:33 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2973, -5946, -8919, -11892, -14865?\nAnswer: -17838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/1*8\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14580 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129059.\nAnswer: 7, 103, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -44 - -52. Solve -q = q - j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*k + 10 = v - 49*k, 5*k = -4*v + 82. Solve a + 2*a - v = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6687648 and 28512?\nAnswer: 60188832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 23424 and 165432.\nAnswer: 2646912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mzzznzzznzmzzzzzzm. What is prob of sequence mzn?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q\/(q\/q**33))))\/(q\/q**(-4\/11)*q)*((q*q**(1\/11))\/q)**(-2\/121) assuming q is positive.\nAnswer: q**(40775\/1331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.413 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -43.15 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2400 + 3466. What are the prime factors of s?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(-15))\/p)\/p**(-3\/5))\/(p**(-6)*(p*p**(-21))\/p) assuming p is positive.\nAnswer: p**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -6. Suppose 0 = s*r - 2983 + 8533. What is r rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 13ba?\nAnswer: 13ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j**3 + 50 + 6*j**3 + j**3 + 20*j**3 + j**2 - 30*j**3.\nAnswer: 2*j**3 + j**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*7\/(-6))\/((400\/60)\/20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 PM and 11:19 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -51*r + 54*r. What is the units digit of 4\/r - -49 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -13, 5, -3, -3.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30688 = 5*a + 5693. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 619126 is divided by 28138?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 6, b: 5, j: 5, d: 2, h: 1}. What is prob of picking 2 c and 1 d?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 6825*k - 149. Let q(t) = 6821*t - 179. Calculate 5*q(v) - 6*z(v).\nAnswer: -6845*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117 is divided by 35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (9036\/(-5271))\/((-18)\/(-7))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1103 divide 11745047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 3*z**5 + 51*z**4 + 123*z**3 - 51*z**2 - 126*z = 0.\nAnswer: -14, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 40*y**3 - 13*y**2 - 2*y + 8. Is 28 a factor of q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 123, 215, 293, 351, 383?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 352 and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*n**3 - 8*n**3 + 9*n**3 - 2 + n**3 + 0*n**3.\nAnswer: 27*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2034*i**3. Let y be q(5). Suppose r - y + 82730 = 0. Suppose 5*f - r = 263480. Round f to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -3*w + 24490. Let l = w + -440849\/36. Find the common denominator of 91\/6 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -4*z + 28 + 0*z - 24 - z**2. What is u(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6439\/3 - -3573643\/1665. Let f = 3172\/131535 - m. Let t = 69\/395 + f. Which is the nearest to -0.2?  (a) t  (b) 0.3  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/10 + (-7)\/1. Let v = f + 10. Find the second derivative of -3*j**v + 8*j + 3*j - 4*j wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 417?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002494089 rounded to seven decimal places?\nAnswer: 0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -120630772, -241261538, -361892302, -482523064, -603153824, -723784582?\nAnswer: -844415338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 25 + 17 = 0. Suppose -70*v + 89*v - 114 = 0. Let h(f) = s*f**2 - 41*f**2 - 11 + v*f + 2. Calculate h(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 196 divide 204267868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6675176?\nAnswer: 2, 163, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v + 2. Let k be m(2). Are k and -5\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3199 and 19581079?\nAnswer: 19581079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 53*j + 218. Determine s(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5491 and -3.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b, 1 m, and 1 a when four letters picked without replacement from {a: 1, y: 1, m: 4, b: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -625451.69 - -86773.53.\nAnswer: -538678.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -668*x - 6435 - 10978 = 951*x + 68394 for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/32?  (a) 5  (b) 0  (c) 17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 397854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 4*q - 4 = 0. Suppose -2*p = -b + 13 - q, b = -2*p + 11. Calculate the highest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 742*j + 731*j - 2*j**2 - 1433*j + 9 - 2*j**3 to the form q*j**2 + t + c*j**3 + l*j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 8*h - 14 = 2*s, 0 = -4*h - 12. Let p(c) = -51*c**2 - 704*c**3 + 53*c**2 + 2 + 409*c**3 + 4*c. Is p(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248881973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81076.23 nanoseconds to milliseconds.\nAnswer: 0.08107623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*g + 99 = 28*g. Solve -1 = -2*i - g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -81, -78, -87, -114, -165, -246, -363?\n\"Answer: -d**3 + 10*d - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13736492 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1423089.9 months in years?\nAnswer: 118590.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5779*f**4*l**3 + f**3*l**3 - 8445*f**2*l**3 wrt f?\nAnswer: -138696*f*l**3 + 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4b + -176?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8513.\nAnswer: 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of 0*v**3 + 0*v**2 + 3 + 0*v**4 - 3*v - 1\/5*v**5. What is the first derivative of g(x) wrt x?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-8)\/(-10))\/((-5)\/25). Let j(w) = -28*w + 4*w - 6 + 8*w + 0 + 13*w. What is j(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -60 - -53. What is the remainder when -3*h\/3 + -3 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15608242*s**3 - 27*s**2 + 27*s**2 - 15608302*s**3.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 1\/2, 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 35*p**2 - 4*p - 114. What is o(35)?\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -449819314*j**2 + 158665153 wrt j?\nAnswer: -899638628*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2116, -2109, -2090, -2053, -1992, -1901, -1774, -1605?\nAnswer: -1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4432 + 115?\nAnswer: -4313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -5684957 > -5684962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2192, -63, 1, -2 in decreasing order.\nAnswer: 2192, 1, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -533 - -532. Is 11\/33 + (55023\/9 - u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54 + -29. Let k = b + -9. Solve k = -3*x + 2*q, -5*x - 22 = -2*q + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of h**4\/4 - h**3\/3 - 3*h**2\/2 - 3*h - 14. Calculate the remainder when 62 is divided by g(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9457419?\nAnswer: 3, 383, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -777487 and 1350.77?\nAnswer: 778837.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -310 (base 4) to base 3.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 12:33 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12315130 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 179, -4, -6, -5 in ascending order.\nAnswer: -6, -5, -4, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-10) + 8\/(-5). Let i be 1 - (-8 - (-2)\/a). Let p = i + -4. Calculate the greatest common divisor of p and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5963, 4065, 2167, 269, -1629, -3527?\n\"Answer: -1898*o + 7861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/36*(-252)\/(-105).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 3*g)*(3 - 3 + 1)*((-3*g + 3*g - 2*g**3)*(2 + 1 - 2) - 2*g**3 - g**2 + g**2 + (-2*g**3 + 3*g - 3*g)*(-30 - 32 + 27)).\nAnswer: -198*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2789, 5577, 8353, 11111, 13845, 16549?\nAnswer: 19217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 12:55 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*n = 9*n + 938. Calculate the remainder when n is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -66 + 97 + 13 + -12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -289 = -i + 5*w, -5*i + 83 = 3*w - 1250. What are the prime factors of i?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -40*a**3*l**2 + 39*a**3*l + 2*a**2*l + 3*a*l**4 + l**4 wrt l?\nAnswer: -80*a**3 + 36*a*l**2 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 79102385 <= 79102386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 433, 868, 1303, 1738?\n\"Answer: 435*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -9*p. Let d(b) = -4*b. Let i(r) = -5*d(r) + 2*f(r). Let n be i(1). Suppose -a = a - 2. Do n and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 - 3*h + 10. Let x be j(3). What is the units digit of 718\/10 - x\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8195766 is divided by 61622.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.435502 millilitres to litres.\nAnswer: 0.000435502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nonnnonoon. What is prob of picking 3 n and 1 o?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10)\/(-14)*54552\/60 + (-51)\/119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - v + 6 - 17 = 0, 4*l - 5*v - 46 = 0. Let a be l\/15 - 2488\/(-20). Let j be 3\/(-4) - ((-4466)\/8)\/11. What is the highest common factor of a and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1567 divided by 1\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of -p**4\/12 - p**3\/2 + 2*p**2 - 4*p. What is v(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6115.\nAnswer: 5, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14)\/63 + 11\/9. Suppose t - 5 = -w. Let n be (3*(1 + 0))\/t. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.014515 to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = k + 7, 3*b + 0*b + 5 = 5*k. Is (-1)\/2*k*329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -69062*b + 3176846. Determine g(46).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-2)\/n*n**(-7)*n**(2\/35)*n**(1\/6) assuming n is positive.\nAnswer: n**(-2053\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/2)\/((-1)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40 + -45. Let k = 9.9 - 1.9. Let u = 11 + -10. Which is the closest to k?  (a) u  (b) 0.4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-1 + 5) - -4. Suppose 0*p - 25 = -i*p - 2*d, d + 15 = p. What is the smallest common multiple of p and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1147 - -1384. Calculate the highest common factor of 6 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -6  (b) -3\/5  (c) -1  (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 990.48 centuries in decades?\nAnswer: 9904.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 + 2*i**2 + 5*i - 2. Let f(o) be the first derivative of -5*o**4\/4 - 3*o**3 - 21*o**2\/2 + 9*o + 1658. Determine 9*b(n) + 2*f(n).\nAnswer: -n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 + 13. Let w = o + 4. Which is the biggest value?  (a) w  (b) 0  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -126, -853, -2838, -6711, -13102, -22641, -35958?\n\"Answer: -105*z**3 + z**2 + 5*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 + 7*g**2 + 7*g + 7. Let o be m(-6). Let r be o - (0 - (1 - -1)). Suppose d - r*d = 0. Let s(i) = i**3 + i + 1. Give s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 980 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(2448) + -1 + 1 + sqrt(2448) + sqrt(2448) + 0 + 2 + (-1*-2*sqrt(2448) - (-1 + 0 + sqrt(2448)))))**2.\nAnswer: 10368*sqrt(17) + 1410372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 229437 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1*57*(-75)\/(-55575)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(6\/(-8 + 14)) + (-14)\/(-2). Solve h + 13 = 3*q + 4*s, -q - 4*s = -19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1683*w**5 - 1537*w**2.\nAnswer: -100980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2403079 is divided by 54.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t**4 + 2100*t**3 + 4140*t**2 - 16720*t = 0. What is t?\nAnswer: -418, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 161 = -4*c, 0 = 6*c - 10*c + h + 167. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 3*u + 91 = 0, -3*f + 5*u = 2*f - 110. Suppose -5*t = 2*y + 79, -f = -t + 6*t. Which is smaller: y or -82\/3?\nAnswer: -82\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n + 73 - 801 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30321 rounded to the nearest one hundred?\nAnswer: 30300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2652*k + 2814*k + 4845 + 987 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3823, -3830, -3837?\n\"Answer: -7*g - 3816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 372*b - 3960 = 108*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k**2 - 2709*k - 9. Let d(t) = 2710*t + 6. Let f(q) = 3*d(q) + 2*u(q). Factor f(i).\nAnswer: -4*i*(i - 678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - (-5 - 25)) + (-27 - -32).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63 = -32*i + 33 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 942396947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 524 = 479. Suppose 7092 = l*u - 18563. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3538859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -3*z - 5 - 6*z + 17. Let y be l(8). Find the common denominator of 0 + 459\/y + 2 and -145\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 626*y + 75746. Calculate q(-121).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (((-1)\/117)\/(-3 + 8))\/(896\/19776) and -77\/12.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 9*z + 5. Let q be w(7). Suppose -3*m + x + 57 = 0, 2*m + 2*m - 4*x - q = 0. Let a = 236 - 156. Calculate the greatest common factor of m and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21 and 83346501.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9408, -0.26, 7, 0 in decreasing order.\nAnswer: 9408, 7, 0, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.9 + -6.15. Let l = 5.8 + i. Let k = 0.5499955 - l. Round k to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of -o**5\/15 - o**4\/9 + 4*o**3\/9 + 16*o. Factor p(f).\nAnswer: -4*f*(f - 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of f**3\/3 - f**2 + 4*f - 26. Let i be 2 - (10 + 2\/(-1)). Let u = -1 + 6. Let g(a) = a**2 - 2*a + 3. Determine i*g(x) + u*w(x).\nAnswer: -x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of -1\/60*w**6 + 0*w**4 + 7\/60*w**5 + 0 - 4*w**2 + 0*w**3 + 0*w. What is the third derivative of f(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 12\/97, 2\/5, -2 in ascending order.\nAnswer: -3, -2, 12\/97, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2662522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 195906.\nAnswer: 2, 3, 103, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 3250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 276367 and 96.\nAnswer: 26531232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*(a\/(a*a*a\/(a\/(a**(-1\/10)*a))))\/a)*a**(-2\/3)*a)\/(a**1)**(13\/3))\/((a**(-2\/5))**(-31\/4))**(12\/7) assuming a is positive.\nAnswer: a**(-449\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/(-6))\/(9 + (-44680)\/4965). Let s = l - 309. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -162414 or -162417?\nAnswer: -162417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12827 plus -57?\nAnswer: -56.87173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 349800 or 349801?\nAnswer: 349800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9741.8876 rounded to zero decimal places?\nAnswer: 9742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 3\/2, 0.04, 1116?\nAnswer: 1116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) 2\/3  (c) 4.2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2*b - 1. Let p(q) = 5*q + 4. Let r be (-20)\/(-3) - 2\/(-6). Let z = -964 + 966. Let o(d) = r*n(d) + z*p(d). What is o(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*g + 38 + 12 + 18.\nAnswer: 14*g + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 + -12. Suppose 0 = -3*c + 3*y + 2*y - 67, n = -c - y - 9. Let k = -10 - c. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (i - 2*i - i - 2*i - 3*i + 2*i + (2*i - 3*i + 0*i)*(5 - 1 - 2) - 5 - 5*i + 5)*(-3 - 2*i**2 + 3) in the form d*i**3 + u*i + j*i**2 + s and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + -1. Let h = -0.804 + 0.904. Which is the biggest value?  (a) w  (b) h  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(1200\/(-5))*(-6)\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -60.28 - -60. Let m = 0.78 + t. What is the nearest to -1 in m, 4\/7, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-55)\/(-11)*1\/(-3).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by 429213.\nAnswer: -7\/429213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 61 = 99. Calculate the remainder when (466\/(-8) - 1)*(-101)\/(3737\/148) is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/45*-1*56\/((-2464)\/66)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mrf when three letters picked without replacement from {m: 2, r: 5, f: 2, h: 1, b: 3, w: 6}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -23*w**7\/7 - 8*w**5\/5 - w**4\/4 + 1586*w**3\/3 - 3887. Find the third derivative of x(u) wrt u.\nAnswer: -2760*u**3 - 192*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 73\/5 + (-2)\/(-5). Let b be 3 + (1 - (1 + 1)). Suppose -x = -b*a - a. Solve -a*y + n + 7 = 0, -n = -5*y + n + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*a + 71*a = -24*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -122 + 167. Calculate the remainder when q is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 5*j + 376 = 0, 0 = -4*j + 22 - 2. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 5  (c) -15156  (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of -7*k**3\/3 - k**2 - k - 2. Suppose -3*n = -2*n + 1. Let p = 0 + n. What is a(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + h - 210 = 0. Let a = -30 - h. Suppose m = -3*d + 12, -6 = -4*m + 3*m - d. Solve -a - 4 = 5*c + m*v, -2 = c + v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43 (base 11) to base 5.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 1 - 3)*(2*p + 0*p + p) - 4 - 5*p + 4)*(-2 + 2 - 2).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9196591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 436 times -18583?\nAnswer: -8102188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r + 4. Let f be u(-5). Let j be 1*(-4 - -2)*f. Let 4*h**2 - 3*h**j - 1 + 0*h**2 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*z - 49631520 = -11*z. Let i = 20156304 + z. Round i to the nearest 100000.\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000111001011001001001011001 - 0?\nAnswer: 11000111001011001001001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -3*n + n - 25, 0 = -5*n + 4*b - 56. Let h = n - -16. Is 28\/4 - h\/2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120 - 14*k - 595 + 116 + 118 + 125 + 116.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/48)\/((-2)\/(-8))*(-3 - 1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 3*m + 14, 5*m + 15 = -5. Let q be 0 - -1 - (3 + u). Let v be (1 - -319)*(q + 4). Round v to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) 0  (b) -0.2  (c) -45  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of -10*(2*-3)\/((-3)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 - -0.16. Let n = 197 - 193.14. Let d = n - k. What is d rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 17\/6 of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10*(-14)\/(-175))\/((-22)\/(-55)). Suppose -19*o + 69 = 4*o. Find v such that 0*v**s + 4\/9*v**4 + 0*v + 4\/9*v**o + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 33*b**2 - 33*b + 19. What is p(-32)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-18) + (-4)\/18. Suppose -3 = -3*k + 6. Let q be ((-8)\/(-12))\/(2\/k). Sort j, 5, q in decreasing order.\nAnswer: 5, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.658289 decades to centuries.\nAnswer: 0.2658289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -231422325.72135 - -231427527. Let v = z - 5201. Let o = v - 0.28. What is o rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -103040 + -35421?\nAnswer: -142501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/5 + 3964*c + 39620.\nAnswer: (c + 10)*(c + 19810)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = -44 + 53 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 1 - n + 30*n.\nAnswer: 29*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -176.94, -18 in descending order.\nAnswer: -5, -18, -176.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 33*n**3 + 4*n**2 + 219*n - 1296. List the prime factors of h(6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1599573304 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: Simplify (3*sqrt(38)\/(sqrt(10)\/sqrt(5)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77*l - 165*l - 83*l.\nAnswer: -171*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 + 1. Let h(u) = 31 + 5*u - u**3 - u**2 - 30 - 5*u. Give 3*h(v) - 3*r(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + i = 17, -4*u + 3*u - 3 = -3*i. Suppose -12*h = -11*h - 14. Suppose s = -3*w + 4*s + 21, h = 4*w + 3*s. Solve -u*f = -w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from shshhhhsoohhssssss?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 3*o - 8, 0 = 5*o + 3*c - 15 - 5. Solve 19 = 4*z - o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 782*t + 6. Let a(y) = -26*y**2. Give s(a(w)).\nAnswer: -20332*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000011170664 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/7331 - -241909\/51317. Let q = -17657\/2 - -7876. Let u = -967 - q. What is the common denominator of c and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7288048 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 27*u**3 + 49*u**2 + 10*u. Let n(p) = 27*p**3 + 48*p**2 + 8*p. Let y(w) = -4*c(w) + 5*n(w). Find the third derivative of y(z) wrt z.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3580159 + 1790062 + 1790058 + 6*n.\nAnswer: 6*n - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of y**4\/2 - y**3\/3 + 3*y**2\/2 - 5*y - 1. Suppose 5*h - 27 + 12 = 0. Let i(t) = -2*t**3 + t**2 - 2*t + 4. Give h*i(b) + 2*p(b).\nAnswer: -2*b**3 + b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -43*z - 116*z**2 - 30*z + 73*z - 38*z**2. Let y(b) = -22*b. What is x(y(l))?\nAnswer: -74536*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*h**2 - 1217441*h**4 + 1217443*h**4 - 4*h**3 + 3*h + 1 - 3 as s*h**4 + o*h + r + n*h**2 + t*h**3 and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j**4 + 0*j**4 + 0*j**4 + 0*j**2 + j**4 + 0*j**2 + (-j + j - j)*(-2*j**3 + 0*j**3 + j**3) + (-2*j**2 - 3*j**2 + 3*j**2)*(-j**2 - 3*j**2 + 2*j**2).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of -p**5\/60 - 2*p**2. Let r(u) be the second derivative of -7*u**3\/6 + u**2 - 2461*u. Calculate y(r(n)).\nAnswer: -49*n**2 + 28*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from dihdiddg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 31*g - 1765. What is l(56)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vrv when three letters picked without replacement from rvvrv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -235 - -210.1. Let l = v + 25.1. Suppose -8 - 2 = 5*j. Sort j, -4\/3, l, 1\/10 in descending order.\nAnswer: l, 1\/10, -4\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25.46 + -29.46. Which is the closest to 1?  (a) 2.7  (b) s  (c) -3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 216411319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 375854 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o + 12. Give y(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 135853.\nAnswer: 73, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 17.884717 to 1 decimal place.\nAnswer: 17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 810 and 24635664?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4088 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -302000 (base 6) to base 11\nAnswer: -16940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 3*c**2 + 2*c. Let w be l(-2). Let y(u) = 0*u**2 + u**2 - 2 + w*u**2 - 3*u. Let t(a) = a**2 - 2*a - 1. What is 3*t(i) - 2*y(i)?\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 8*q + 3 + (-2*q + 0 + 0)*(5 - 1 - 3) as t + h*q and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2776\/(-57602) - (-34580)\/1079?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 0 - 2*g)*(5 + 1 - 2) - 2*g + 2*g - g)*(-312 - 92 + 106)*(-2 - 1 + 4)*(-2*g**2 + 2*g**2 - 2*g**2) in the form z*g**2 + q + w*g + f*g**3 and give f.\nAnswer: -5364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 169168322 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1869690, -1869689, -1869688, -1869687, -1869686, -1869685?\n\"Answer: m - 1869691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3 + -2)*22\/11. Factor 12*t + 2 + s*t**4 + 21\/2*t**3 + 37\/2*t**2.\nAnswer: (t + 1)*(t + 2)**2*(4*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63446646.\nAnswer: 2, 3, 31, 263, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(30)\/sqrt(6))**2 + sqrt(405)*3 + 3 + (1*1*sqrt(5) + sqrt(5) - sqrt(5))**2 + sqrt(5).\nAnswer: 12 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r + 10. Let i be o(-6). Suppose i*n - 12*n = 52. Let q be n\/4 + (-1)\/4. Solve 2*h + 4*t = -16, h - q*t - 5 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2 + 4758*x - 66372153.\nAnswer: 3*(x - 3977)*(x + 5563)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3119.41 - 59.41. Let l = u + -3059.9899974. Let k = l + -0.01. What is k rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 554.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3248, -3789, -4676, -5903, -7464, -9353, -11564?\nAnswer: -14091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 - 24*y + 115. Let r be f(17). Suppose -8 + 3 = -5*j. Sort j, r, -0.12, 0.3 in descending order.\nAnswer: j, 0.3, -0.12, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -98 + 275. What is the first derivative of -49*h + n + 52 + 53 + 19*h - 15 wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22*p**5 - 4*p**5 - 35*p**5 + (5*p**2 + p**2 - 4*p**2)*(4*p**3 - 5*p**3 - p**3) + 3*p**2 - 339*p**5 - 6*p**4 + 338*p**5 + p**4.\nAnswer: -66*p**5 - 5*p**4 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 4 = -w. Suppose 3*k - k - 14 = -2*i, 19 = -3*k + 5*i. Solve -k*b = -w - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77 - 4\/(-2) - (10800 + -10811).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 120\/36 + -1 + (-4)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16640096 and 1312?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -316.573 - 0.427. Let c = z + 317.0004368. Round c to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 22019?\nAnswer: -2\/22019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*5\/15*15)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 4*p - 24 = 2*z, 2*p = -5*z - 27. Suppose 3*l - 14 = -a, 0*a = 3*a + 3*l - 18. Suppose -7 = -3*d + 4*i - 1, 0 = d - a*i - 4. Is z < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u + 1. Let q(t) = t**2 + 2*t - 2. Let h be q(-3). Let w be m(h). Solve -o = -0*o - a - w, -o = 4*a + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 47236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.05, 0.3, -3\/4, 5.\nAnswer: -3\/4, 0.05, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + t**2 + 8*t - 4. Let r(b) be the third derivative of -b**4\/24 + b**3\/6 - 435*b**2. Determine -6*r(l) - y(l).\nAnswer: l**3 - l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i - 1 - 2*i - 3)*(-38026 + 276*i + 38026).\nAnswer: -276*i**2 - 1104*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -32*y. Let b(j) = 91*j + 1. Give -3*b(r) - 8*f(r).\nAnswer: -17*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 6*x + 2. Let a be y(0). Suppose -a*q + 230 = 70. Calculate the highest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(3\/(-45)*5)*-1. Solve 0 = -5*a - 20, -2*m + m = l*a + 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 33 = -2*x, 2*x - m + 6*m - 17 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33435529*f**3*r**3 - 16*f**2*r**3 + 592600*r**2 wrt f.\nAnswer: -200613174*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 1\/5, -287, -1\/6, -0.5 in ascending order.\nAnswer: -287, -0.5, -1\/6, 1\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -1002001?\nAnswer: -1002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -181, -176, -173, -172?\n\"Answer: -n**2 + 8*n - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 300 and 180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 277576 divided by 69394\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 - 36. Let g = l - -9. Let t = -22 + 21. Sort g, t, 2.\nAnswer: g, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(475) + (sqrt(475)*-2*-6)**2 - (sqrt(475) + (sqrt(475) + -2)**2 + 0 - sqrt(475))).\nAnswer: 25*sqrt(19) + 67924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 - -16. Suppose 0*l - z*l = -18. What is the remainder when l is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-6) - 93\/(-18). Let o(s) be the first derivative of 7*s + v + 5*s - s**2 + 1. Find the first derivative of o(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-2 + -1*(-2*sqrt(567) + -1)))**2.\nAnswer: -1296*sqrt(7) + 81684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dnkkkxndnxkpknxkkdpn. What is prob of sequence ddx?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.027 * -2635.\nAnswer: 71.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14 and 2455124?\nAnswer: 2455124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 - 4*q - 9. Suppose o - 20 = -0. Let s = o + -12. Is r(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -316*m + 2841037 = -33*m. What are the prime factors of m?\nAnswer: 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of -79*l**3\/3 - 17*l - 173. Differentiate v(c) with respect to c.\nAnswer: -158*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*b = -812 - 3766. Let i = b + -221. Let v(h) = -5*h + 3. Let l(u) = -2*u + 1. What is i*v(g) + 8*l(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 116 + (40 + 24 + -32 - 48)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176*q + 1517636 - 435412 = 0. Is 51 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 1535484300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.02416457559 and -0.02811.\nAnswer: -0.05227457559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.338099ml in litres?\nAnswer: 0.003338099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.6894 rounded to one decimal place?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2058\/(-72) + 8 + (-6 - -27)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 482447998717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 43 + 13. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -614 - -613.66. What is the nearest to -4 in l, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20335110 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 c = -228 - -425. Suppose -c = -6*p + 307. What is the greatest common factor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 23. Sort h, 0, 3, -1 in ascending order.\nAnswer: h, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(720) - (0 + -1*sqrt(720))**2 - sqrt(720).\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.012, 4\/3, 1\/9, -1, -10, -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -14*246.429\nAnswer: -3450.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2543814 is divided by 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*k**2 + 9*k**2 - 6*k**2)*(k - k - 3*k)*(-3*k - 2*k + 3*k) as c + p*k + w*k**4 + r*k**3 + o*k**2 and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143188.\nAnswer: 2, 35797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**0)**(-5)\/(w**1)**(-6\/11))\/(w**(1\/10)\/(w**(-7)*w))**49 assuming w is positive.\nAnswer: w**(-32819\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from kkkkkkhkkkkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 34893138*w**4 - 3507054 wrt w.\nAnswer: 139572552*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107334.\nAnswer: 2, 3, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (((-1)\/8*4)\/1)\/(2\/(-244)). What is the nearest to 0.2 in f, -5, -2\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k + 1. Let f(d) = -15*d - 11. Suppose -p = -j - 13, -2*p - 4 + 0 = 0. Let h(n) = j*r(n) - 3*f(n). What is the derivative of h(y) wrt y?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -42.36 * 191.9.\nAnswer: -8128.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/3744 and 85\/5904.\nAnswer: 153504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-20)\/(-40) - (-9615)\/6. Does 14 divide -5 + 4 + b + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15933*c + 16082*c + 18476 = 0 for c.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 2*c + 35. Suppose -14*t + 62 = -3*y, 167*t = 165*t - 3*y + 2. Solve -3 = -t*k - c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + u = -37 + 20, -3 = -h - u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 60012233767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/7 in 0.5, 1, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6735, -6973, -7223, -7491, -7783, -8105?\nAnswer: -8463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/91)\/((-4)\/(-63) + (-54)\/(-243))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7354, -7351, -7346, -7339, -7330, -7319?\nAnswer: -7306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1533171 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.76013 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5a90a - 7?\nAnswer: 5a903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.05 - 0.05. Let r = g + -4. Are -1\/3 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.329019419 rounded to one decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((833\/102)\/49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, h: 1, u: 8, t: 6, a: 1}. Give prob of sequence vuuu.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3249 + -3247. What is the closest to j in -2\/21, -1\/6, 1\/6, -0.05?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -66.9 - -66.902. What is z rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from vyvyiiviii?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7436.891 litres to millilitres.\nAnswer: 7436891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.6 or -0.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -2\/15, 481, 0.282, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38971 + 5*i + 38971.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -3*n**3 - 2*n**2 - n. Let i be o(-1). Suppose 0 = -c - c. Let k be 2\/(i\/(1 - c)). Put -2, -3, k in ascending order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000041826615 to 6 dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -113\/4 - -28. Let m = z + -1\/4. Is m > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + -22 + 9 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -5 + 5*l + 4*l + 4 - 2 - 8*l. What is o(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 + 16. Let y be -1 + -1*(-4)\/(-1). Sort 0, r, y in ascending order.\nAnswer: y, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 10  (b) -1\/13  (c) -78\/11  (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3313438 + y + 0*y + 0*y.\nAnswer: y - 3313438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*q = -12*q - 444 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 378646201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwww. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -3*h**2 - 2*h - 8. Let g(j) = 4*j**2 + 3*j + 9. Let q(m) = 4*g(m) + 5*w(m). Let c be q(4). Solve 0*o + 2*r + 9 = o, 2*o - 5*r - c = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2290*t**4 - 2906?\nAnswer: 9160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 150 divide 471600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*y + y. Let n be (-111 - 3)\/(2*y). Let z = n - 40. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16854396 to the nearest integer?\nAnswer: 4105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - -16. Suppose 0 = -13*q + 10 + 55. Solve -f = 5*t - 3*b, -t + q*b = 15 + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.024364 at most -709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 70 + 25 = 0. Suppose 1560*g = 1598*g - 798. Calculate the highest common factor of t and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6 + -8 - (-21 + -1)) + -4. What is the greatest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*x = 75*x + 77. Suppose 9*j = 12*j - 1245. Differentiate -j*b**4 + 12 + 413*b**4 + x + 2*b**2 with respect to b.\nAnswer: -8*b**3 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.3 and -2.13?\nAnswer: 2.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000019849 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2.153007+235\nAnswer: 237.153007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 6630?\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 divided by -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-60) + (-12)\/(-8) + 373\/1865.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 + 5)*(-82)\/4. Let i = z + 122\/3. Let u be (2 - 3)\/(-1)*0. Which is the third smallest value?  (a) i  (b) -4\/5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10923 - -17272. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4642183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 + 11*b**2 - 10 - 3*b - 6*b**2 - 3*b**2. Let i be f(9). Suppose -202 = -4*q - 5*c, -q + i = -0*q - 2*c. What are 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 next term in 5658, 11306, 16942, 22560, 28154?\nAnswer: 33718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 141666713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7 and -448093.66.\nAnswer: -3136655.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 + 2*d - 2. Let r be 12\/8 + 7\/2. Suppose 3 = s, -5*z - 27 = -r*s + s. Let b be j(z). Sort 3, b, 5 in descending order.\nAnswer: 5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2677 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-15) + 25\/((-3375)\/48). What is the fourth smallest value in -1, 2\/23, 1\/2, g, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f**2 - 215 + 2*f + 2317 + 4565 to d + n*f + s*f**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14070 divided by 30.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 12826 = -25*h. Let p = 622 - h. What is the greatest common divisor of 663 and p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 425.3 and 182?\nAnswer: 77404.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -5*d**3 + 365*d**2 + 1645*d - 8085 = 0.\nAnswer: -7, 3, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 7*q**2 - q - 1. Let l be j(-2). Suppose -p + 13 = -4*x, -4 - l = -5*p + 4*x. Let r = p - 3. Sort 3, 0, r in ascending order.\nAnswer: 0, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 3*r, 8*b - 32 = 3*b + r. Suppose b*k = 114 - 24. What is the greatest common divisor of k and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from ghhzhzzpfhhzzz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand c**3 + 5*c**3 - 4*c**3 + c**2 - c**2 + 2*c**3 + (c - 2 + 2)*(3 - c**2 - 3) + 2*c**3 + 6*c**3 - 3*c**3 + (-1 + 1 - c)*(2*c**2 + 2 - 2).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + sqrt(2057)) - (4 + 0 + sqrt(2057))**2.\nAnswer: -2067 - 121*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-18))\/(34\/153)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(700) + 1 - sqrt(70)\/(4*sqrt(10) + sqrt(10)))*-3)**2.\nAnswer: 882*sqrt(7)\/5 + 151488\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 9:18 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4847780 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 545195 and 740?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 35, 62, 137, 284, 527?\n\"Answer: 4*y**3 - y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(4\/5))**2)**(-7\/3) assuming i is positive.\nAnswer: i**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -54387 + -0.5.\nAnswer: -54387.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.8 - -1.7. Let l = -53.4 - -3.4. Let j = l + 26. Do j and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6401941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z\/(z\/z**(-3))*z*z*(z*z\/(z*z**(1\/3)))\/z)**45*((z*z**0)\/z)**1\/(z**5*z*z**3*z) assuming z is positive.\nAnswer: z**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -164 - -160. Put -2\/11, w, 3.6 in decreasing order.\nAnswer: 3.6, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-3)*(-2 + 56). Suppose -4*i - 4*q + 180 - l = 0, 2*q + 100 = 5*i. What is the remainder when i is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 573877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -9*w - 23. Give j(-16).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -316*o = -257*o + 1534 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**4\/11 - 56522*j**3\/11 - 396757888*j**2\/11 + 36574533632*j\/11 = 0.\nAnswer: -14176, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (42\/(-28))\/(-9 - 231\/(-26)). Let s be (-3 - 0)\/(6\/(-4)). Solve -5 = -s*d - w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - 6. Let b = i + 2. Solve -2 = -b*h + h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7549 is divided by 469.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -539.652 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -4*h - 358. Let t(j) = -3*j. What is -i(m) + 4*t(m)?\nAnswer: -8*m + 358","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 6469, 6470, 6471, 6472, 6473, 6474?\n\"Answer: o + 6468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17596 and 29382?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*54\/(-2565)*-361*(-2)\/(-2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b + 6. Suppose -5*s = -4*f + 1418, -s = 3*s + f + 1147. Let y = 296 + s. Give w(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 11. Is n greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.03  (b) -3  (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 87393079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -25*b*k**2*m*r + b*k*r + 16*b*k + 3*b*r + 3*k**2 - 2912*m*r - 2*m wrt k?\nAnswer: -50*b*k*m*r + b*r + 16*b + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 2:20 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -22*f**3 - 14*f**2 + 6. Give l(-3).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**2 - 68*y + 72.\nAnswer: -4*(y - 1)*(y + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -612, -1224, -1836, -2448?\nAnswer: -3060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 - -19. Let n(x) = -9*x**2 - 5*x. Let v(p) be the second derivative of -11*p**4\/6 - 2*p**3 - p. Let k = -11 - -23. Calculate k*n(h) + z*v(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 - -3 - (-508 - -438)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15\/5*364\/42. Solve p*l = -112 + 34 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1025861693 or 1025861694?\nAnswer: 1025861694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 615159 divided by 196.\nAnswer: 615159\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3775*y**2 - 13*y - 11.\nAnswer: 7550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 5*v = 6418, 2*s + 3*v + 6386 = -0*s. Let x = s - -2231. Let q be 400000\/2*x\/(-16). What is q rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r - 1. Let j = 8 - 4. Suppose -i + 4 = 1. Let g(z) = 3 + 3*z + 6*z - i*z + 0. Give j*g(t) + 11*h(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 686 is divided by 96?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -105711, -211056, -316401, -421746, -527091?\n\"Answer: -105345*d - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the second derivative of 0*w**3 + 0*w**5 + 5*w + 0*w**6 + 0 - 1\/4*w**4 + 17\/42*w**7 + 0*w**2. Find the third derivative of j(m) wrt m.\nAnswer: 1020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2*m - 1 = 4*c, -3*m = 3*c. Let a be (4\/(-3) + c)*0. Let k = a - -1. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 455 (base 6) to base 14\nAnswer: cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/2)\/(12\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9827*x**3 - 9901*x**3 - 9908*x**3 + 49449*x**3 - 9915*x**3 - 9918*x**3.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 936*b + 5897 + 16552 = -35583 for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*w + w + 1000. Suppose w = 4*q - 258. What is the smallest common multiple of q and 63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 238214351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 122 = -10. Let m be (-98)\/(-17 - -3) + -58*(1 - 2). Suppose t = 3*s + m. What is the second smallest value in 1\/10, 0.2, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02734 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 232 and 8980952?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -29  (b) -4  (c) 5  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*p**2 + 3127*p - 3127*p.\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 651 divide 2082283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -3*z + 5. Let q be o(-3). Let h(n) = -n - 7. Let g be h(9). Let y be (-2)\/(-1) - g*6. Calculate the highest common divisor of q and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 5:37 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 14 = 4*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 + 3*b**2 - b. Suppose -2*o - 24 = -3*l - 5, -2*l + 3*o + 16 = 0. Suppose 0 = -k + l*k - 8. Determine c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0088248 to four dps.\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*o**3 - 140*o**2 - 145*o + 7560 = 0. Calculate o.\nAnswer: -7, 8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 201 divide 843771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16968?\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*f**2 - 3*f**2 - 4*f**2 to x*f**2 + v*f + q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 44 = -o, o - 15 = -2*r - 2*o. Let x(d) = 2*d**2 - 8*d - 3. Let z be x(-5). Let w = z + -24. Calculate the highest common factor of r and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 - -4) + (4 - 2808)\/(-4). Suppose 0 = 10*h + 16*h - y. Let q be (-3)\/((-2)\/(-72)*-2). What is the highest common factor of h and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/4 - 6433\/(-28). Suppose 3*q + q = l - c, 2*l - 438 = 4*q. What are the prime factors of l?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55 - 47. Let u(k) = k**2 - 10*k + 16. Let d be u(a). What are the prime factors of (1\/3)\/(6\/1494 + d)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 20\/(-3)*6\/5. Let r be (9\/2)\/((-4)\/c). Solve r*s - 4*s = 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9053157 to the nearest integer?\nAnswer: 3009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4083147618 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of 1\/180*x**6 + 1\/3*x**4 - 7*x + 8\/9*x**3 + 14 + 4\/3*x**2 + 1\/15*x**5. Let r(u) be the first derivative of f(u). Factor r(o).\nAnswer: (o + 2)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/245435 and -91\/528135?\nAnswer: 100873785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**2 + 1416*n - 241774. What is u(154)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - 0.4. Let v = -0.2 + j. Let x = 0.4 - v. Which is the second biggest value?  (a) 0  (b) x  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 35*n - 1. Suppose 92 = 4*s - 4*l, 3*s = 5*s - 3*l - 46. Suppose 6*d - 29 = -s. What are the prime factors of b(d)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*h**2 + 0*h**2 + h**2)*(-5 - 16*h - 19*h + 34*h) to r*h + f + y*h**3 + o*h**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 218742012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is dc - 5?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (6 - (1 - -3)) - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + 3*q**2 - q**2)*(0 + 0 - 6*q)*((2 - 6 + 5)*(-8*q - 5*q - q) + 0*q + 3*q - 2*q).\nAnswer: 78*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22695347*u**3 + 13293206 wrt u.\nAnswer: 68086041*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 2*w**2 + 2*w - 3. Let d be p(-3). Let j(z) = d - 4*z + 11*z - 2. Is j(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(((j*j\/j**3)\/j)\/j))\/(j\/j**(-2\/19)*j))**(-2\/11) assuming j is positive.\nAnswer: j**(-72\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 223957778 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v + 2*v + 3*v**2)*(-3*v**3 - 3*v**3 + 5*v**3) - 303*v**5 - 1781*v**5 - 1115*v**5.\nAnswer: -3202*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 + 65 = 8*t. Which is smaller: 9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 w when three letters picked without replacement from {l: 8, w: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 15) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1901807112 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 y = -23 - -25. Suppose -4*n + 342 - 74 = 0. Calculate the remainder when n is divided by (-8)\/y + -13 + 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - -39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ill when three letters picked without replacement from {i: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -2, 4, -49\/108, 145, 1?\nAnswer: -49\/108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 80.1, -8\/123?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 18.2572 decades?\nAnswer: 2190.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4503249 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 52 + -2913aba?\nAnswer: -2913a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z - 3. What is the remainder when g(-14) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -0*s - 8. Let i(k) = -k + 5. Is i(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 66 = -12. Calculate the lowest common multiple of m and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 6 + 8, 4*w - 2*g + 4 = 0. Let q be w\/(-9) - ((-26390)\/1035)\/(-13). Which is greater: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 308538325?\nAnswer: 5, 41, 301013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1872) + 2)*-2 - (sqrt(13) + -2 + sqrt(13) + 5 + -5).\nAnswer: -26*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.1  (b) -66  (c) -0.3  (d) -0.08  (e) 1\/3  (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 144 + -148. Let k be -1 + (y - -5) + (1 - 1). Solve 0 = 3*m - 5*g - 7, 2*g + k*g = m - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*o = 45*o - 76. Let c = o - 33. Suppose -3*u - 3703 = -c*z, 5*u - 9*u + 16 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3216 is divided by 320?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v - 4*p - 65, -3*v - 4*v + 6*v = 28*p + 125 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 703 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 320\/(-56) - (-2 - 3) - -1. Which is the closest to -2\/15?  (a) -0.2  (b) -1\/3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i - 90. What is b(-20)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 t when three letters picked without replacement from {t: 1, h: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/56*(-2628)\/(-1095) and 37\/832.\nAnswer: 5824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7111158 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 63462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 141805 + -83328. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.007 * 22.\nAnswer: -0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 23284400 and 4?\nAnswer: 23284400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 111 and 95317143?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 2110233000332?\nAnswer: 2110233001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 23955011 to the power of 1\/2, to the nearest integer?\nAnswer: 4894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 2*n - 41 = 0, -2*k = 147*n - 149*n - 34. Let y = 12.5 + -13. Which is the third biggest value?  (a) y  (b) 1  (c) k  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a hour in minutes?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22625 and 47060.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 13*n + 2492 = 0. Let p(r) = -31*r + 6. Let z be p(-3). Let s = n - z. List the prime factors of s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 10245133415?\nAnswer: -10245133410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2137 + -2137.4. Which is the smallest value?  (a) 4  (b) 5  (c) q  (d) -0.1  (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(78) + 5*sqrt(78)*-3 + sqrt(78) - (2*(sqrt(78) + sqrt(78)*-1) + sqrt(78)))\/((sqrt(300)*-1)\/(1*sqrt(2)*6)).\nAnswer: 168*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49, 234, 543, 976, 1533, 2214?\nAnswer: 3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -22  (b) 156  (c) -331  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrgrrtnnrrbgrnrg. Give prob of sequence rrt.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 5*b + 28, 5*b - 33 = -16*i + 53 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fb when two letters picked without replacement from zycfzcybycyccdbcbz?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do 3729 and 3727 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8119*23.\nAnswer: 186737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 4*k**2 - 29*k - 40. What are the prime factors of f(-18)?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of 5\/48*a**4 + 5\/8*a**2 + 5\/12*a**3 - 1 + 6*a. Let v(z) be the first derivative of f(z). Factor v(s).\nAnswer: 5*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) -0.3  (c) 4  (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26 + 23)\/(-8 - ((-31788)\/3888 + (-2)\/27))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + 2*x - 1. Suppose 1869*q - 34 = 1852*q. Let t(n) = 2*n**2 + 4*n - 1. What is q*t(l) - 5*j(l)?\nAnswer: -l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -3*f - 6. Let j be ((-8)\/f)\/(9\/108). Calculate the highest common divisor of 48 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ifoootfotfoo. Give prob of picking 1 i and 1 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 4*l + 3. Let x(g) = g**2 - 10*g - 9. Let z be x(9). Let r(k) = 17*k + 13. Let h(b) = z*o(b) + 4*r(b). What is h(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*p + 70*p = 5*k - 25, 0 = -5*p - 2*k + 10. Suppose 3*o - 522 = -3*x, 5*o - x + 4*x - 872 = p. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-18)\/(-840))\/((-6120)\/1428))\/((-3)\/(15\/(-2)))?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 5*u - 5 = 2*v, 3*v = 5*u + 5. Let s be (v\/(-4) - -1)\/(-13). What is the smallest value in s, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*s = 34*s + 462. Calculate the remainder when 522 is divided by s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {v: 1, g: 4, d: 6, i: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + n - 3 = 0, -o + 2*n - 6 = 3*o. Suppose 3*k + k - 208 = o. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 487993 to the power of 1\/2, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -49778300 divided by -76700\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 513 - 481 = 32*r. Sort r, 0, 22, 4.\nAnswer: 0, r, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*s - 24080 = -825*s + 178*s for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - s + 476, -4*p + 674 + 1230 = 3*s. Suppose 0 = -2383*d + 2351*d + 224. What is the greatest common factor of p and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, -300, -9, 829 in increasing order.\nAnswer: -300, -9, -5, 5, 829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + (-3)\/(132\/112). Let j be 1*(-3 + 5 - 115). Let v = 112 + j. Which is smaller: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -401*k - 105*k + 9486 = 21*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (173 - (-93 - -81)) + -84\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -8*b**2 - b + 2. Let s be (-14)\/(-266) - (-58)\/(-19). Let o(k) = 7*k**2 - 2. Give s*o(m) - 2*j(m).\nAnswer: -5*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -5*l + 3*s, 5*l - 4*s + 732 = 726. Solve -6*n + l = -8*n, 0 = -4*v + n - 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 975042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 281\/(-1686) - 2\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qc when two letters picked without replacement from qqqqqqqqouqqqcqcq?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 382 + -222. What is the remainder when n is divided by (-868)\/(-32) - ((-225)\/(-72))\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1907 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -176, -177, -178, -179, -180?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k - 2*l - 2, -k - l = -4*l + 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(4*1\/28 - (-12)\/1092)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2324337641.8002866 - -2324337381. Let c = v - -260.8. What is c rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 8. Suppose 0 = 3*w + d - 13. Calculate the lowest common multiple of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/2)*g*g)\/(g*g\/((g\/((g*g**(-8\/5)\/g*g)\/g))\/g)*g)*(g\/g**(-3\/11))\/g**4 assuming g is positive.\nAnswer: g**(-289\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5215719449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1)*q*(q*((((q**4\/q)\/q)\/q)\/q)\/q)\/q)\/(q*q**(3\/2)*q)**(-1\/8) assuming q is positive.\nAnswer: q**(-9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 + 6*a + 5. Let b = 58 - 41. Suppose 52 = -5*r + b. What is the remainder when 34 is divided by k(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.3  (b) -1  (c) -0.4  (d) -0.019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*w + 23*w = -12. What is the lowest common multiple of w and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4803595 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4089d + 2d?\nAnswer: -40870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ykykk. Give prob of sequence yk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 - 8*i - 11. Let j be x(9). Let r be -2 - (j + 2\/(-1)). Put -2\/5, -4, r in increasing order.\nAnswer: -4, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*o**2 - o + o + 15*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - 13. Let l = 45 + w. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200 - 35 = -3*y. Let w = y + 59. Solve 4*b = -3*p + 8, w*b = -3*p - 2*p + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 b when three letters picked without replacement from bbbbbhbbbbbbbbbbbbb.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 27, -227 in decreasing order.\nAnswer: 27, -4, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 279 = -3*l, -3*c + c + 221 = -5*l. What is the remainder when c is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*u - 5*u + s - 5, s + 7 = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3960 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 2.62616 millennia?\nAnswer: 26.2616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-3\/2)\/t)\/t**(5\/3))**12)**(-31) assuming t is positive.\nAnswer: t**1550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256\/5 - 2\/5*i**2 - 16\/5*i = 0.\nAnswer: -16, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*f**2 - 8*f**2 + 16*f**2.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 5613 = -5*t, 12*u = 17*u + 20. What is the greatest common factor of 19 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3 - 4)*(2*h**3 - 3*h**3 - h**3) - 4*h**3 + 2*h**3 + 0*h**3 + (-3*h**2 + 4 - 4)*(1 + h - 1) in the form p + k*h**2 + g*h**3 + u*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 160 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 97 = 5*h, 2*h - 28 + 76 = 2*l. Suppose -l*f + 10*f = -26. Solve 0 = -a + 2*n + f, a - n + 3 = -4*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10768201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*a = -45*a - 124 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1309 - -2049. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 0 - (0 + (1 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 570539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1027?  (a) 3  (b) -3\/4  (c) 333  (d) -2\/7  (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/(-1)*(-1 - -5). Let k = s - -40. Solve -5*g + 2 = 2*y, -4*g + 5*y = -k*y + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*k**3 + 0*k**3 - 1425477*k**2 + 1425477*k**2.\nAnswer: -37*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**3\/2 - 165021*k**2 - 1980198*k - 5940540 = 0.\nAnswer: -330030, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 7:32 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 7 = 5*l - 17, -l + s + 6 = 0. Solve -l*t + 7*t = -16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 + 36. Let d = l - 18. Calculate the smallest common multiple of 22 and 1\/(d\/4) - -17.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 140\/(-14) + 21 + -18. Suppose -3*w + 32 = -7*w. Is w at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52518 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 19841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -12*x. Let t(r) = -2*r. Let l(u) = -6*u. Let q(f) = 5*l(f) - 16*t(f). What is q(w(j))?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2919*c - 1463*c - 5 - 2 + 3*c**2 - 1459*c as o*c**2 + f + h*c and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bjjyyeeekjeey. What is prob of sequence jyyb?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.5  (b) -0.024  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the first derivative of -i**2 + 10. Let b(k) = -22*k**2. What is l(b(f))?\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3785 and 70.\nAnswer: 52990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 15*a. Let v be x(1). Let y = v + 6. Solve -3*o - 3*c - 6 = -y, -c = -2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29 + 32. Let s = -0.96 + -0.04. Which is the nearest to u?  (a) -2  (b) s  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - 9*8\/288. Which is the closest to 6?  (a) w  (b) 0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 6. Let w = -11 + 11. Is w greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 33 + 0. Let a = g - 28. What is the lowest common multiple of a and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 - 0) + (-10)\/(-20) + -3. Let p = -2.8 + 3. Which is the nearest to p?  (a) z  (b) -5  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {z: 5, k: 3, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2 + 13120*d + 1024000.\nAnswer: 4*(d + 80)*(d + 3200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r\/r**(17\/5)))\/(r*r**(-20)\/r)*r**36*(r**(-7)\/r)\/r*r assuming r is positive.\nAnswer: r**(252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1748\/10 + 36\/(-20) + 2?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 159 + 111 = 0. Suppose 116*z - 120*z + 2624 = 0. Let h = z - d. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(104)*-1 + sqrt(104))*3)\/(sqrt(8)\/sqrt(2)*-1))\/((sqrt(36)\/(sqrt(2)*-1))\/(sqrt(63)\/(sqrt(21)\/sqrt(3)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-15))\/(81\/(-45))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 39*v - 71*v. Let t(n) = 3*n**2 + 4*n. Calculate t(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u - 34. Let a(k) = -k. Let b be a(-4). Let q be b + 7\/(7\/(-16)). Let l be v(q). Round l to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 5:32 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, z: 6}. What is prob of picking 1 b and 2 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 3*a + 40. Let c(t) = -32664*t. Calculate q(c(u)).\nAnswer: -97992*u + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -336*-35284.\nAnswer: 11855424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 2*q = -0*q + 18, 0 = -2*y - 3*q + 16. Let c = -3 - -18. Let o be ((-32)\/40)\/((-2)\/c). Calculate the highest common factor of o and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 95 - 86. What is the highest common divisor of 117 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59962 is divided by 179.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 + g**2 - 10*g - 1. What is p(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 556 and 309767338?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 11670039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -92*y + 37*y + 330 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - (6 + -3))\/((-4)\/10). Let x(i) = -4*i**2 - 7*i - 7. Let y(f) = f + 1. Calculate z*y(p) + x(p).\nAnswer: -4*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16\/(-20)*(-1 + 13\/(-2)). Let h be 1\/((-1)\/q*-2). What is the second derivative of 2718*o**3 - 2688*o**h - 40*o + 14*o wrt o?\nAnswer: 180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of -17*a**7\/21 + a**5\/20 + 199*a**3\/3 + 725*a**2. What is the first derivative of s(t) wrt t?\nAnswer: -680*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h**3 - 126*h**2 - 118*h + 186. Calculate f(-62).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 881805 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 17*a**2 - 1. Let m be c(1). Let p(f) = 4*f**2 - 6*f - 10. Let v be p(7). What is the greatest common factor of m and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(4*(-23)\/(-92))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of -1\/3*f**4 + 0*f**3 + 0*f + 3*f**2 - 1\/2*f**5 + 0. What is the second derivative of h(a) wrt a?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 8091 = k, -3*k + 93*s - 92*s + 24271 = 0. What are the prime factors of k?\nAnswer: 2, 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 23?  (a) 3  (b) 2.5  (c) -7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/((l\/l**(-2))\/l)*l)**(-27)*(l**(1\/5))**(-1\/39) assuming l is positive.\nAnswer: l**(-1\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 140 - 93. Let c = d - 31. Let j(w) = w + 16. Let o be j(-9). Solve -o = -n + 2*n + g, 4*n = -g - c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33349741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3*s = -284, -f + s + 2*s + 56 = 0. Let t = 94 - f. Which is greater: t or 19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/54 and -103\/22.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/6)\/(2\/48). Suppose v + 200 = 8*x. What is the remainder when x is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 = -23*s + 33*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -140*o**2 + 17693645*o - 3159575.\nAnswer: -5*(o - 126383)*(28*o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 126528954 rounded to the nearest 100000?\nAnswer: 126500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + 4*h - h)*(1 + 2*h - 1) - 133*h**2 + 422*h - 212*h - 212*h.\nAnswer: -129*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1))**21 assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 0.5, 2, -0.0677?\nAnswer: -0.0677","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -16443, -32882, -49321, -65760, -82199?\n\"Answer: -16439*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3*s**3 - 17*s**2 + 3218*s + 16134. What is j(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 178938949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 4*v = -408, -n - 3*n - 4*v + 424 = 0. What is the greatest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 3) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1086174809 to the nearest integer?\nAnswer: 32957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.07 in -1939, -0.05, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4183282.\nAnswer: 2, 47, 191, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of -5\/2*a**2 + 5 + 0*a**4 - 5\/6*a**6 + 0*a**5 + 0*a + 0*a**3. What is the second derivative of s(i) wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 11:02 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/3 + (-112)\/21. Let i = 6 + s. Is (42\/2)\/i + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 4 = -x, 0 = -4*d - 5*x + 24. Suppose 5 + 0 = 5*b. Let m be d\/b + 26\/(-8). Does -3 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + 3\/(-1))*(-6)\/(-12). Suppose -21*l + 24*l - 8 = -2*z, 4*l + 4*z - 16 = g. Solve -8*y + 5*y - 6 = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.13 take away 27656.3?\nAnswer: -27659.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23133297?\nAnswer: 3, 11, 701009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u**3 - 2*u + 5. Let d(a) = 6*a - 2. Let j(p) = p**3 - p - 1. Let r(m) = -d(m) - 4*j(m). Determine -6*g(o) + 5*r(o).\nAnswer: -2*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 7 = 2*i, 19 = 5*f - 5*i - 1. Let m(y) be the first derivative of 0*y - 1\/12*y**4 - 2 + 0*y**2 + 0*y**f + 1\/15*y**5. Factor m(r).\nAnswer: r**3*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0243329cm to meters.\nAnswer: 0.000243329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -1648*s + 238968. Determine p(145).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 214*s**3 - 27*s**4 - 1 - 212*s - 2*s**5 + 93*s**4 - 11*s**2 - 58 - 85 + 89*s**2 = 0.\nAnswer: -2, -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 - 26. What is the third smallest value in -2, 0.6, m?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2327573?\nAnswer: 31, 75083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of -z**3\/2 + 11*z**2\/2 + 8*z + 3. Calculate j(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qmp when three letters picked without replacement from {x: 1, q: 4, p: 4, m: 6}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/((30\/(-126))\/(-1))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1078458496.\nAnswer: 2, 29, 290533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-166)\/(-8) - 5\/(-20). Solve -5*c - 4*o - v = 0, -2*c - 3*c - 23 = 2*o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -40 + 39. Let j be 3\/(-4)*(g\/1 - 3). Suppose 12 = j*p - 3. Solve -2*r = k + 9, -2*r = -p*r - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -53*x**5\/20 - 5*x**3 + 14*x - 3. Find the second derivative of p(o) wrt o.\nAnswer: -318*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 199\/6  (b) -1  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3. Suppose 3*p - 16 = -13. Let y(v) = -64*v - 41. Let u(z) = p*y(z) - 5*w(z). Differentiate u(l) wrt l.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 8:36 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**2 + 0*g**2 + g**2)*(4*g - 3*g + g) - 2*g**3 + 0 + 0 - 3*g**3 + 10*g**3 + 6*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + -1da?\nAnswer: -1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 + 13*m**2 - 6*m - 95. Calculate f(12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 62. Let y(a) be the first derivative of 7*a**3\/3 + 211. What is y(b(d))?\nAnswer: 7*d**4 + 868*d**2 + 26908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/5, 13\/7, 2\/21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(91) - 1*sqrt(91))*6*-3)\/(6*sqrt(7)*3 - sqrt(448)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 161 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 4 + 2*y)*(-33444 - 3187 - 37427 + 2654 - 1280) as p*y + u and give p.\nAnswer: -145368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 167 = -n, -6*d - 74 - 63 = -n. What is the remainder when n is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2324, -3090 in increasing order.\nAnswer: -3090, -5, 2324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of v**2\/2 + 17*v - 22. Calculate i(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 12 + 24 = 0. Let h be 16 + v*4\/(-16). Let r be 8\/(-60)*3 + h\/5. Let j(i) = i. What is j(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*g + 17 + 441 = 8. Solve 5*k + 31 = 2*x, -2 = -2*k + 2*x - g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 - 17*x + 7. What is k(16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = t + 21. Let s(r) = -r**3 + 8*r**2 - 7*r + 3. Let u be s(t). Suppose u*k - 51 = -3. What is the highest common factor of k and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 681545970 rounded to the nearest 100000?\nAnswer: 681500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 14045, 14115, 14187, 14261, 14337, 14415?\n\"Answer: s**2 + 67*s + 13977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -6314b?\nAnswer: 63151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 4*q**2 + 6*q + 1. Let y be x(-3). Find the second derivative of y*s**2 + 24*s**2 + 15*s**2 - 68*s wrt s.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2 + 8*t.\nAnswer: -2*t*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 0.3. Let o = 0.2 - r. Let u = -0.1 - 0.9. Which is the closest to o?  (a) -0.5  (b) u  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 3*x - 44 - 31 = 0, 4*x - 76 = -4*t. Let r = t + -4. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 296818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1291\/4 - 323. Let i = 3 + -11. Let m = i - -2. What is the closest to d in 1, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -94*p - 831. Let z be b(-9). Solve 3*y = 5*l - z, -7*y + 5*y - 3*l = -9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 865\/2964 + -17\/52. Are -1 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.04 - 0.96. Let z = 0.5 + r. Which is the closest to -2\/7?  (a) -2\/19  (b) z  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 92 = -3*r - 3*a, -4*r + 2*a + 118 = 0. Let j be (-14592)\/1472 - (-4)\/(-46). Let n = j + r. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-3)\/4)\/(-3*(-7)\/(-504))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12256 is divided by 65.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ubxyxeu. Give prob of picking 3 y and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161*l + 1131 = 132*l for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -5951\/233 and -0.08 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 175448 and 3640.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1171029 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 3*o - 2. Let n(b) be the second derivative of b**3\/6 - 7*b**2\/2 - 5*b. Let f be n(8). Let i(a) = 6*a + 0*a - 5*a. What is f*g(v) - 5*i(v)?\nAnswer: v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l**2 - 3*l - 16. Let p be j(3). Solve 151*a = 149*a - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -155 and -0.4.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 4*q**2 - 3*q + 2. Let l be z(5). Suppose -6*v + l = -4*v. Solve -2*s + v = 2*r - 10, s = -3*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.8 - -2.8. Put 2, 0.3, x in increasing order.\nAnswer: x, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21451 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -89059.\nAnswer: 89055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 1320 divide 7597920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 3*l**2 - 1. Let b be k(3). Let n be 2*(8 + -1) - b. Suppose -2*m + 11 = -n. Calculate the highest common divisor of 52 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 3*s - 134 = 0, -5*i - 3*s - 161 + 807 = 0. Calculate the smallest common multiple of 6 and i.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/84 and 59\/6815712.\nAnswer: 47709984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -74 + 78. Suppose 0 = 2*x + f, -3*x = 2*y + 3*y - 174. Suppose 5*h = n - 44, h - y = -n - 2*h. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4768624057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21673*g*h**3*q**3 + g*h**3*q - 3*g*h**3 - 75*g*h**2*q + 90*g*h*q**2 + 3*g*h*q + 5*h**3*q**3 wrt q.\nAnswer: -130038*g*h**3 + 30*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2107585 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: Three letters picked without replacement from {i: 5, o: 2}. What is prob of picking 1 o and 2 i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -63 - -45. Let r = n - -7. Let p = -10.998 - r. Round p to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -151, 3, 5 in ascending order.\nAnswer: -151, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + 151 - 55 = 0. Suppose -y = 3*w, -5*o + 56 = 3*w - 7*w. Let v = o - -95. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7002 = 21*l - 3*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 19 = 5*s + 46, -4*n = 3*s - 91. Suppose 3*j = 2*f - n, 0 = 4*f - 5*f + 3*j + 5. Factor 40 - 90*p**2 + 61*p + 35*p**3 - 62*p + f*p**4 - 139*p.\nAnswer: 5*(p - 2)*(p + 2)**2*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4 + 5)*4\/1. Suppose r + 3*h = 7, 5*r - 29 - 6 = -l*h. Suppose 2*m + r = -1, -2*m = -3*i + 104. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 762983 divided by 762983?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6172978 is divided by 6172956?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z**2\/9 + 1454*z\/9 = 0. Calculate z.\nAnswer: -1454, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 5*j = -18. List the prime factors of 4 - 4 - (j + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -83637708 by -13132.\nAnswer: 6369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 110*b**2*t**3 - 2*b**2*t**2 + 2*b**2*t - 74*t**2 wrt t.\nAnswer: 660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 7 = -4*n - 15, -n - 5 = -4*i. Let q(a) = -3*a**2 + a + 1. Let j be q(n). What is the remainder when (4 - (j + 6))*13 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -50*i**2*s**3 - i**2*s - 6*i - 6*s**3 wrt i.\nAnswer: -100*s**3 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v. Let c be o(2). Let t be c*(-1 + (-6)\/(-4)). Let w = 8702 - 8702. Sort w, 1, -1, t in ascending order.\nAnswer: -1, w, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.8 - 2. Let m = 3 - r. Let c = -0.659 + 0.759. Sort c, 0.5, m.\nAnswer: c, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 4*i**5 - 224*i**4 + 1040*i**3 + 8000*i**2 = 0.\nAnswer: -4, 0, 10, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**4 - 42*a**3 - 316*a**2 - 984*a - 1008.\nAnswer: -2*(a + 2)*(a + 6)**2*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 25104581233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28 and 4558532?\nAnswer: 31909724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 591*z + 2038*z = 550*z - 10395 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -137012, -136132, -134658, -132584, -129904, -126612, -122702?\nAnswer: -118168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0 from 137.36.\nAnswer: 137.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 252 and 3381252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12 is divided by -3 + 2 + 4 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -23. Let h(n) be the second derivative of -n**4\/12 + 23*n**3\/6 - 113*n**2\/2 + 84*n. What is the remainder when h(13) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (64\/672*(-14)\/(-3))\/((-231340)\/8901 - -26)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24952 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 218395000 rounded to the nearest one million?\nAnswer: 218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**4\/4 - 2*y**3 + 21*y**2\/4 - 11*y\/2 + 2.\nAnswer: (y - 4)*(y - 2)*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1184409.\nAnswer: 3, 43867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 337.8 - 308. Let d = m - 30.1. Which is the closest to -0.3?  (a) d  (b) 0.3  (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 7*i**2 - 6*i - 23. Let u be c(9). Let b = -17152\/35 + u. Let r = -0.7 + -3.3. What is the second smallest value in r, -2\/7, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 0.2144, -2.79, 5, -2\/5.\nAnswer: -2.79, -2\/5, 0.2144, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j - 2. Let a(x) = x**3 - 2*x**2 - 3*x - 1. Let n be a(0). Let i(k) = 14*k**2 + 3*k + 2. Let o(v) = n*i(v) - m(v). Factor o(u).\nAnswer: -2*u*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 9 + 7 = 0. Let h be 1 - ((0 - 1) + a). Let d be (-9 + 5)*4\/(-16). Put h, d, 5 in descending order.\nAnswer: 5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -32 in 2\/7, 2, 1.4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 3*u = -27, 31*j - 1 = 26*j - 2*u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0\/4)\/3*-1. Suppose -5*p + 192 = -4*n, -2*n + 2*p = -l*p + 96. Let i be -2 + 104\/18 + n\/12. What is the biggest value in 2\/9, 37, i?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*z - 265 = -205 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1407870 is divided by 468995?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -3*n**3 + 4*n**2 - n - 3. Let r be m(2). Let x = 18 + r. Round x to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -719ab - 4?\nAnswer: -719b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + (-1)\/(2\/(-4)). Let x = -3 + g. Let y be (x - 1) + -2 + 4. Solve 0 = -2*b - 3 - y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/21)\/(304\/456)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/12*(-4)\/(-6). Let f = 12.9 + -12.6. What is the closest to 1 in 0, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 48.6918 - -0.3082. Let z = -1395238687.00000058 - -1395238638. Let a = z + l. What is a rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/(2 + -4))\/(-1). What is the biggest value in -5, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 54, 4, 65.\nAnswer: 3, 4, 54, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 5*p + 122804 = 0, 206*p - 153547 = -5*f + 205*p. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from stpbuswbutsubptb. What is prob of picking 1 w and 1 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1921 at most as big as 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 10:22 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10857289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 201.01950943 + -0.01970043. Let f = s + -201. Round f to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160*s - 37 + 250 = -427 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 318 + -316. Solve -g = -l*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -4*g**2 + 115*g - 1324. What is v(14)?\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 53 * 3.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z. Let b(a) be the third derivative of a**5\/12 - a**3\/2 + a**2. Let r(i) be the first derivative of b(i). What is r(l(m))?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13984 and 1840.\nAnswer: 69920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -90 - -84. Let r(t) = 68*t - 11. Let q(n) = 45*n - 7. Let y(b) = -8*q(b) + 5*r(b). Is y(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 116?  (a) 0.06  (b) 11  (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lqyyylyltyyxylxx. What is prob of picking 1 y, 1 t, and 1 q?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 5 = 4*r. Suppose -3*i = 2*k + 6, 2*i + 6 = r*k - i. Let x(f) = f - 3. Calculate x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 187 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 5:32 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94481 + 6*d + 94481.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6667763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (795 - 8*s**2 - 798 + 20*s**2 - 2*s)*(-2*s**2 + 4*s + 0 - 2 - 2*s) in the form o + f*s + k*s**2 + a*s**4 + i*s**3 and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -58*b**2 - 32*b**2 + 3 + 55*b**2 to k*b**2 + g + w*b and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 905, 900, 891, 878, 861, 840?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 972192 and 1920?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*n**4\/5 + 3998936*n**3\/5 + 25792698607*n**2 - 8320242002*n\/5 = 0.\nAnswer: -64499, 0, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-213780)\/1058211 + (-5)\/((-110)\/24).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.063 less than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of 2*c**3\/3 - 179*c**2 + 472. Determine r so that o(r) = 0.\nAnswer: 0, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -403 + 409. Let h be (15 - 1) + 2*-1. Let o = h + g. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 + 2. List the prime factors of c + 0 + 0 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u - 12 = -0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -1. Let g(b) be the second derivative of 5*b**4\/24 - 5*b**3 + 25*b**2 + 43*b. Let w(t) be the first derivative of g(t). Determine w(n) - 30*y(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-85*n + 54*n - 2*n**3 + 30*n + 37*n**2)*(-n - 3*n + 0*n).\nAnswer: 8*n**4 - 148*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - n - 53 = -0*k, -3*k + 78 = -2*n. Calculate the remainder when 108 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 3 = -87. Let r = -16 + v. What is the second derivative of 2*c - 34 - 4*c**r + 34 + 0*c wrt c?\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 - 69*b**2 - 545*b - 91. Calculate m(-9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r. Let k be (-6)\/(-4) + 2\/4. Let d(i) = -2*i. Suppose 0 = -3*b + 20 + 13. Let j(g) = 10*g. Let o(v) = b*d(v) + k*j(v). What is l(o(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*((-2)\/4 - 0). Suppose -i = -8*q + 4*q + j, i + 1 = q. Let x(n) = q*n + n + 0*n. Let p(r) = r. Give x(p(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 82\/3 in -4, -0.1, -1\/70, -55?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, r: 7}. Give prob of sequence ccrc.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 408 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 44.8 and -34.6.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 8705*d**3 - 17410*d**3 - 57 + d + 8704*d**3 - 20*d**2 as m*d**3 + k*d + v + z*d**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 7*h**2 - 3*h + 7. Let p be (0 - 6)*1\/(-1). Is b(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6946 and 2369?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.02 + -4.58. Let z = -0.47 - 4.59. Let x = z - f. Round x to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1761, -3431, -5009, -6495, -7889?\nAnswer: -9191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 3*y**2 + 67835496*y + 383471209797168 = 0.\nAnswer: -11305916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 471, 472, 473, 474, 475?\n\"Answer: c + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 763 - 762. Which is the nearest to 1?  (a) 0.2  (b) -5  (c) 0.1  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27969 is divided by 595.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(((z*z*z*(z*z\/(z*z\/z**(-2\/5))*z)\/z)\/z*z*z*z)\/z))**(-31)*z\/z**(3\/11)*(z*z*z*z*z**0\/z*z*z)\/z)**26)**46 assuming z is positive.\nAnswer: z**(5612828\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 11:43 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 PM and 7:56 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19)\/18 - 511*76\/(-11096)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -296 or 1\/3?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.449 * -144.395\nAnswer: 64.833355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 68. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -12  (b) -73  (c) 1\/15239\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/4, -0.3, -273\/8, 2\/27, 0.5, 1\/8, 0.1?\nAnswer: -273\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1 - -1)\/(-1))\/2. Calculate the common denominator of (-73)\/(-10) + (2 - l) and -1\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, l: 17}. What is prob of picking 1 l and 2 r?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -15343747 divided by -5\nAnswer: 15343747\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-6) - (-160)\/30. Solve 2*d + 3*k = 9, 5*d + 7 = -m*k + 22 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -249 or -250?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2846 - 6*t - 5702 + 2836 to the form g*t + h and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 9.4, -1, 1\/2, 1.16?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 55584?\nAnswer: 1\/9264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**4)\/(l*(l**6*l*l*l)\/l)*(l**6*l)\/l**(-2\/9) assuming l is positive.\nAnswer: l**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/(-3) - (-2)\/(-6). Let x = 4260 + -4259. Let c = -0.057 - 4.043. Put c, b, x in ascending order.\nAnswer: c, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 248961 is divided by 151?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 PM and 3:08 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 + 16*z + 5. Let j be x(-16). Let s(a) = -a - 3 + 2 + j. What is s(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (44\/(-5))\/((-17)\/510). Calculate the greatest common factor of k and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - -111200121211110212?\nAnswer: 111200121211110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 392*x**2 - 4928*x - 10. Let z be w(-13). Suppose 2\/3*i**4 - 20\/3*i + 20\/3*i**z - 2\/3*i**2 + 0 = 0. Calculate i.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, h: 1, i: 4, d: 3, y: 3, s: 2}. Give prob of picking 1 s and 2 i.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 128 - 70. Suppose 3*f + 81 = 3*l - 0, -5*f + 15 = 0. What is the remainder when i is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 3464*f + 34704. Give o(10).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*f + 4269 = 3639 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (22 - 29) + -17 - (-11 + 25)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*p - 32 - 2 = r, -209*p + 5*r = -408*p + 203*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 137914800.\nAnswer: 2, 3, 5, 281, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 19531*s**2\/2 - 107428*s + 165\/2.\nAnswer: (s - 11)*(19531*s - 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2130792.\nAnswer: 2, 3, 47, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2164619460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4601*g**3*n**2 - 39*g**2*n + 7*n**2 wrt g?\nAnswer: -27606*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*p = 8*p + 2*l - 88152, -4*p = 5*l + 88124. Let w = p + 32595. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 63  (b) -44\/9  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(405)*-1*2 + sqrt(405) + -1*sqrt(405) + sqrt(405) + -5)*-6)**2.\nAnswer: 3240*sqrt(5) + 15480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 369\/72 + -9 - (-1)\/(-8). Which is the second biggest value?  (a) f  (b) 0.4  (c) 0.2  (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 246 = c - 329. Let a = -344 + c. Let d be 50\/((-7)\/(a\/(-6))). What is the greatest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, g: 11}. Give prob of picking 3 g and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 q when three letters picked without replacement from oooooooqoooqoooooo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000464324 rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 7 - 102. List the prime factors of b.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -28*h**2 + 58*h**2 - 10 + 13*h + 3 - 31*h**2 - 6*h. Determine n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1979 - -251335\/127. Let x = p + 248\/381. Factor 2\/3*b**2 - 2\/3*b**3 + 2\/3*b - x.\nAnswer: -2*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*((g*g\/g**(10\/9)*g)\/g)\/g)\/g**7)\/(g**(-7))**(1\/7) assuming g is positive.\nAnswer: g**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2659, -2331, -1449, 263, 3081?\n\"Answer: 46*n**3 + n**2 + 3*n - 2709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -1, 2\/25, 2\/9, -4, 56, -0.76?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6437, 9331, 12229, 15131?\nAnswer: 18037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Express (d + 6 - 4*d + 4*d)*(2*d + 0*d + 2*d)*(-2 + 4 - 3) in the form r*d**2 + n*d + z and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 2\/17, -162, 84 in decreasing order.\nAnswer: 84, 2\/17, -0.1, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 17787886\/23 smaller than 773386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -4 + 1*(sqrt(396) + -1 + sqrt(396))**2 + sqrt(396) + 6*(sqrt(396) - (4 + (-3 + sqrt(396) - sqrt(396)))) + 5.\nAnswer: 18*sqrt(11) + 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -332 (base 5) to base 2\nAnswer: -1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/3)\/((-2)\/(-150)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 393813698?\nAnswer: 2, 1489, 132241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 5*v**2 + 9*v - 15. Let n be t(6). Suppose 0 = 5*g + 4*z - 0*z - 15807, n*z + 6 = 0. Is g 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 -13942, -13822, -13622, -13342, -12982?\nAnswer: -12542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*g - 60 = 61*g. Let d be 0*(-5)\/g + 2. Solve -d = -3*s + 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-4)*222\/(-9). Let q = w - 23. Suppose -2*p = -4*f + p + q, 5*p - 35 = -5*f. What is the greatest common factor of f and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o + 2, o = -j + 4*o + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhrhjoohrahhahhjhoa. What is prob of picking 1 a and 3 h?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12\/(-5)*35\/(-14). Let g be 5 - -1 - y\/3. Suppose 2*f + 4 = -2*f. Is g > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -13  (b) -8  (c) -2\/7  (d) 0.2  (e) 127  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/3, -43696, -5, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of 395*f**4\/6 + f**2\/2 + 8*f - 5. Let p(v) = v**3 - 4*v**2 - 5*v - 1. Let x be p(5). Is g(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 4*s = 20, 5*m = m + 3*s + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -11703.\nAnswer: -4\/11703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.156*-0.0930076\nAnswer: 0.0145091856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2*m = -29 + 7, -201 = -5*x + 3*m. What is the highest common factor of 944 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 e, and 2 q when four letters picked without replacement from {e: 5, h: 2, g: 2, a: 2, q: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3408644\/(-249)*6\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 - 8*q + 5. Let m(t) = -t. Let p(i) = -j(i) - 2*m(i). Let f be p(9). Which is the nearest to 2?  (a) f  (b) 1  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 19*p**2 - 531*p + 533. Let z be y(1). What is the greatest common factor of 111 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1696218504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 11:36 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3385*j = 3382*j + 24 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 - 18. Let w = c - -3. Solve -3*n = -7*n + 5*r + 22, -w*n + 4*r + 17 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1055425 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 703001 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0*(2 + 1)\/(-3). Find the third derivative of g*p - p**3 + 0*p + 0*p - 2*p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - i - 89 = -114, 4*i - 92 = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -1 - ((-7 - (-32 - -10)) + -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*s + 0 + 1 + 2)*(4 - 4 + 2).\nAnswer: -12*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1438.64 in 0.4, 2, -4.36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 3 + 0*i**2 - 2*i**2)*(-11 - 42 - 49) to the form o + j*i**2 + t*i and give j.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0, -1\/5, -2.6, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 + 5*b - 6. Suppose -2*c = -6*c - 20. Let q(u) = -u**2 - 5*u - 5. Let n be q(c). Calculate v(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 125, 252, 379?\n\"Answer: 127*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, d: 2, u: 10, h: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c - 13 + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*i + 13 = 15*i + 3*a, 0 = 2*i - 5*a + 15. What is the second biggest value in 4\/25, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 54*b**4 + 122 wrt b?\nAnswer: 216*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 + 111*d - 699. Let n be g(6). Solve 2*i = -2*u - 2, n*i - 2*u = -u + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -127*p**5 + 4*p**2*s**3 - p*s**3 - 678*p*s**2 wrt p.\nAnswer: -2540*p**3 + 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14 by -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 50038 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + 22*p - 7. Let b be ((-24)\/20)\/((-6)\/105). What is the least common multiple of h(b) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 107a (base 13) to base 11\nAnswer: 17aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*b - 6*b - 912. Suppose -3*j - 5*d + b = 0, 2*j - 143 = -j + 4*d. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 - 16*w**2 - 9*w - 76. What is i(-17)?\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 + 47 + 3 - 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + -0.9. Let y = 23\/51 + -2\/17. What is the closest to u in -2\/9, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 50 and -14926626.\nAnswer: -14926576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2413, 4864, 7365, 9952, 12661, 15528, 18589?\n\"Answer: 6*a**3 - 11*a**2 + 2442*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4910 a factor of 997127710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 164611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 - -15. Suppose -28 = -k*c - 2*c. Suppose 2*a = c*a - 20, -b = 5*a - 49. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {p: 10, h: 2, a: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = i - 4. Which is the third biggest value?  (a) -1  (b) 0  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 39*l**2 - 11*l + 11. Let o(y) be the third derivative of y**5\/3 - y**4\/4 + y**3 - 2620*y**2. Determine 6*a(g) - 11*o(g).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 - 3*k**2 + 3*k - 1. Let y be (-4)\/(-16) - (-14)\/8. Suppose 4*h - 18 = -5*n, y*h - 13 + 5 = -2*n. What is the units digit of f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -6. Suppose -856*m + 853*m + 618 = 0. Let c = 212 - m. Solve 0 = -c*s + 3*s + d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1296 at most -1298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(1539))*-2)**2 - (sqrt(1539) + (-2 + sqrt(1539))*6 + sqrt(1539))**2.\nAnswer: -92484 + 1728*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 94937 or -1?\nAnswer: 94937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002451695 to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 505 divided by 2.\nAnswer: 505\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 54\/5117093?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -w - 3. Suppose 23 = c + 5*i, -8*c + 12*c - 5*i + 8 = 0. Put -1, w, c, -3 in descending order.\nAnswer: w, c, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 8 + 137*m + 18*m.\nAnswer: 155*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10859094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 1799 - 207 = 0. What is the remainder when g is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22730 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 35*r - 20. Let n(j) = -12*j + 7. Determine -6*g(y) - 17*n(y).\nAnswer: -6*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 4*q**3 - 1244*q**2 = 0.\nAnswer: 0, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 31588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1058213 to the power of 1\/2, to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/63*126\/108*12\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291*n = 4*y - 290*n - 11, 0 = y - 3*n - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -v + 10 + 12 + 12 - 17 to the form h + r*v and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, -0.1, -147517, 2\/9, -4\/37?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -109 - -177. Let j = -227262.6389716 - -227194.639. Let k = s + j. Round k to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 + -5. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 221 = -5*t, 43*a - 5*t + 172 = 46*a. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -372*f**2 - f + f + 368*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2844 - -755?\nAnswer: 3710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 143 + -141. What is the first derivative of -2*w**3 + 183*w**2 - 30 + 26*w**4 - 183*w**d wrt w?\nAnswer: 104*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1115395432*a**5 - 17*a + 9061914.\nAnswer: 22307908640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v. Let h be z(10). Let b be ((-4)\/(-3))\/(h\/(-3390)). Suppose 0 = 7*w - 1060 - b. What is w rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*k - 16 + 9*k + 7*k**3 + 5*k as u + n*k**3 + l*k**2 + p*k and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 22548*f**2*o**4 - 446*f**2 - 41*f wrt o.\nAnswer: 90192*f**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -5*u + 67 + 2 + 17*u - 32 + u. Let q(g) = -g**2. Determine v(q(w)).\nAnswer: -13*w**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/563948 and 80\/15939.\nAnswer: 116737236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 5954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200 = -0*d - 4*d - 3*b, -b = -4. Let n = d - -32. What is the units digit of (-2)\/7 + (-111)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -1\/4, -0.8, -11\/14, -0.5, 0.39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 1711125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4 and 2684876724.19?\nAnswer: 2684876723.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76822*u = -76546*u - 8280 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -x**3\/3 + 11*x**2 + 37*x - 685. Give j(23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - (2 - (7 - 1)). Suppose 0 = -2*p + z*p - j + 1, 8 = 4*p + j. Calculate the lowest common multiple of 0 + p - (5 - 22) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 - 10*l**2 + 10. Let n = 13 - 3. Calculate the least common multiple of s(n) and 0 - -3 - 3\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -55*a - 306. Is x(-13) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-22)\/2)\/(49\/(-980))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36 + 16 - 5*t**4 + 11*t**4 + 3*t**3 + 2*t + 19 to the form z*t**2 + u*t**4 + k*t**3 + p + m*t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1003.6 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((9\/(-6))\/((-3)\/88))\/1. Calculate the greatest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158673.\nAnswer: 3, 227, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 988?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 138 - 294. Let s = u + 614. Is (-5)\/(5\/s)*9\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express z + 3 - 3 - 2*z in the form x*z + m and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*w + 131*w + 864 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -153, -94, 67, 384, 911, 1702, 2811, 4292?\n\"Answer: 9*v**3 - 3*v**2 + 5*v - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 216\/16 + ((-3)\/2 - -1). Suppose 8*k + 19*k**4 - 2*k + 9*k**4 - 18*k**3 + 18*k**5 - 9*k**2 - z*k**4 = 0. What is k?\nAnswer: -1, 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 16*g - 124. Let f be c(8). What is the fourth biggest value in -1\/3, f, -4, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 4302.849ng?\nAnswer: 0.000004302849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1814)\/(-4))\/((-2)\/(-4)). List the prime factors of 1\/2 + q\/2.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 22 + -11 - (2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 - 6*k**2 + 2*k - 2. Let z = 80 + -53. Suppose z*x - 6 = 26*x. Determine l(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14201 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -117759 divided by 117759?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of -p**4\/12 - 8*p. Let x(a) = -34*a**2. Calculate x(b(t)).\nAnswer: -34*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/392*-8 - 5217\/259.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*n - 13*n - 11*n)*(-16 - 56 + 835*n**4 - 832*n**4).\nAnswer: -30*n**5 + 720*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 132090 - -9578209.\nAnswer: 9710299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 + 9*j**2 + 8*j - 10. Suppose -3*y - 12 = -4*o, -5*o = -5*y - 2 - 23. Let s = y - -1. List the prime factors of d(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (35*4\/8*66\/66)\/(-2)?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2820309698 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 402*g**2 + 97*g - 307. Does 17 divide k(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -2. Let s = 6.5 - 6. What is the closest to 1 in -3, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 6*d - 22 = 2*h, 0 = 2*d + 3*h + 23 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -35*l**2 - 2*l + 2. What is i(1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of -l**4\/24 - 11*l**3\/6 + 29*l**2\/2 + 5*l - 12. Let q(p) be the first derivative of h(p). Give q(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from qqqjqqj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -35*y + 5. Suppose 0 = -2*c + c - 5*v + 51, c - 2*v = 16. Suppose 0 = -j - 5*x - 14, 2*j - 6*j = 5*x + c. Is t(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4444 + 6199. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11133 = 165*b - 6841 + 7423. Sort b, -2, 112.\nAnswer: b, -2, 112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30 + 57. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 2*f - 7 - 11, 0 = 4*f - m - 39. Let s be 1 + 4 + -12 + f. Suppose b = -2, s*c - b - 406 = 4*b. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -315 = -2*f + 363. Suppose x - 4*r - f = 304, -4*x - r = -2640. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 6:38 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 320182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 2*w + 134, -3*k + 0*w - 4*w + 452 = 0. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.25 - 0.1. Let u = 0.05 - i. Let g be 6\/4*(-1)\/2. What is the nearest to u in 4, g, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 PM and 7:18 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*i - 8*i - 17 + 26*i + 17.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 - 10*j**2 - 2*j + 22. Let z be d(10). Solve z*m + 4*q = 0, -2*m + 4 = -4*q + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*q + 5. Solve 0 = -7*c + 3 + q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**3 - z**2 - 20*z + 40. Determine w(6).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11092 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65305.\nAnswer: 5, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84 = -656*l + 644*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 3*i = 21, 5*i + 10 = -5. Let h = 3 - s. Suppose h = -4*r + 2*m + 15 + 49, 2*r = -4*m + 12. What is the remainder when 41 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t - t - 2*v + 36, -5*v = t - 9. Let x be ((-4)\/t)\/(2\/(-6)). Which is the nearest to x?  (a) 1  (b) 0.5  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 3 = 5*p. What is the third derivative of 0*s**5 - s**p - 3*s**5 - 3*s**2 wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 62.55026 litres?\nAnswer: 62550.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 160636310, 160636315, 160636320?\n\"Answer: 5*f + 160636305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -12*h**3 - 2*h**2 - h. Let u be (12 - 9)*(-2)\/6. Determine c(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 55024, 109837, 164434, 218809, 272956, 326869, 380542?\nAnswer: 433969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2522 + 2523. Let g = 0 - 0.5. Which is the fourth biggest value?  (a) -0.3  (b) 3  (c) u  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453150 (base 6) in base 13?\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 12*s**2 - 28*s + 5. What is the units digit of o(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1)\/(-2) + -1 - (-525942)\/244.\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of -l**5\/6 + l**3 - 20*l**2. Differentiate d(t) with respect to t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, n: 3}. What is prob of picking 3 j and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2344*p**4 + 7*p**3 + 7*p - 1569. Let u(z) = 781*z**4 + 2*z**3 + 2*z - 523. Let t(n) = 7*u(n) - 2*w(n). Differentiate t(r) with respect to r.\nAnswer: 3116*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -302*o + 3973. Let t be h(13). What is the highest common factor of 1175 and t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - 6*y**2 + 22*y + 4. Let d be k(7). Let t be (-24)\/(-10)*115\/d. Solve -s**3 + 0 + t*s + 0*s**2 + 1\/3*s**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*s - 2*s + 2*s**3 + 0*s**3 - 4*s wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-31)\/(186\/36) + 141\/13 + -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/3  (b) 2\/7  (c) -44.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -356733347034.000001018 + 356733347719. Let c = a + -685. What is c rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 504, 1036, 1568, 2100, 2632, 3164?\nAnswer: 3696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -16*m + 4. Let t be z(-2). Calculate the greatest common divisor of 24 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of d**5\/60 - 11*d**4\/24 - 3*d**3 + 1218*d**2. Calculate u(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 144632?\nAnswer: 2, 101, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*2\/(12\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 123 = d, -3*d + 127 - 16 = -5*z. Let t = -18 - z. Solve 2*w + 4 = -t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75, 159, 245, 333, 423?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*o + 12. Let r(j) be the third derivative of 0*j + 1\/60*j**5 + 0 - 2*j**2 + 1\/120*j**o + 0*j**3 + 0*j**4. Find m, given that r(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 - 13*i**2 - 20*i + 89. Calculate d(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 7*j**3 + 4*j**2 - 5*j + 1. Let a be p(2). Let g be (36\/a)\/(-1*(-72)\/28). Factor 4\/9 - g*x**2 + 2\/9*x.\nAnswer: -2*(x - 2)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 3*q**2 + q. Let t be f(1). Let b be ((-4)\/8)\/((-180)\/(-40))*0. Solve u + t*u = b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 798.6932 meters?\nAnswer: 798693200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -7634, -15419, -23204, -30989, -38774, -46559?\n\"Answer: -7785*w + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8220*q**3 - 81546*q.\nAnswer: -49320*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 + 5*l**2 + l - 1. Let t(q) = -1931*q**3 + 14*q**2 + 2*q - 4. What is 3*d(b) - t(b)?\nAnswer: 1934*b**3 + b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6134\/21 + -292. What is the biggest value in 5, 2\/39, -5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 - 2*d - 2. Let u(z) = -2*z**2 + 5*z - 6. Let s be u(2). Let t(l) = 2*l**3 + 3*l + 3. Give s*t(m) - 6*q(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o, 1 v, and 1 n when four letters picked without replacement from {v: 4, n: 1, o: 5, m: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 294521, 589041, 883563, 1178087, 1472613?\n\"Answer: t**2 + 294517*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 50\/29 + -129\/58. Which is the second smallest value?  (a) 3  (b) r  (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 410 + -108. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of 19*h**3\/6 - 5*h**2\/2 + 3*h. Let g(k) = -10*k + 3. Let y be (387\/(-1935))\/(1\/30). Calculate y*w(m) - 10*g(m).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xixyyyyyihrfx. What is prob of picking 2 y?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/3 - 196381556*c\/3 + 9641428884245284\/3.\nAnswer: (c - 98190778)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 10 = c, -2*c + 71 = r + 76. Solve -10*l - 39 - 1 = c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 1 = 6*a, -5*a - 50 = -d. Calculate the highest common divisor of d and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*r - 4*b + 3 = 40*r, 5*r - 33 = -2*b for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 12 = -2*w, -3*w - 4*g + 36 = 13. Suppose w*n - 3*l - 446 = n, 0 = -2*n - l + 228. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -458 divided by -75\nAnswer: 458\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 25*m - 96. Let c be d(-20). Suppose -b = 4*o + 33722, c*o = -0*b - 2*b - 33724. What is o rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 + 5*j**2 + 13*j - 28. Let a be d(6). Suppose 2*s = 3*u + 62, s - 76 = 3*u + u. Let w = -13 - u. Solve -w*p = -2*v - a, 2*p - 1 = 3*v - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 b when three letters picked without replacement from iabpgppiargbbapppprg?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 61*m + 80 + 8*m**4 + 153 - 27*m**4 - 30*m - 29*m wrt m?\nAnswer: -76*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -0.07, 5, 0.2, -0.02 in descending order.\nAnswer: 5, 0.3, 0.2, -0.02, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 113316 divided by -2124\nAnswer: -9443\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 4*a**2 - 3*a - 2. Let h(o) = o**2 - 15*o + 54. Let i be h(8). Determine g(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 - 7*a**2 + 6*a + 15. Is x(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3959673609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 + 101?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 656\/359853, 3, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -15752?\nAnswer: -15752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23264492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.195 and 85956975.1605.\nAnswer: 85956974.9655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1789039734?\nAnswer: 2, 3, 19, 15693331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14*-27*(-69)\/(-621).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2 + 38586*q - 372219849.\nAnswer: -(q - 19293)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of 0*r - 1\/6*r**3 + 1\/30*r**5 + 0 + 0*r**4 + 2*r**2. Differentiate s(g) with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 3*u**2 + 12*u + 6. Let j(z) = -z**3 - 11*z**2 - z - 15. Let o be j(-11). Calculate the remainder when 8 is divided by w(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1273 and -1539776.\nAnswer: 1960134848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -14617 and -3745?\nAnswer: 54740665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 3*s + 3, -s = -2*s + 3*u + 12. Solve 0 = g - 4, -2*g + 21 = -s*z + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + (2 - 5\/2). Let x = -0.3 + 0.8. Let d be ((3 - 2) + -3)*14\/14. What is the nearest to 2\/7 in x, n, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.8 + -6. Let f = i + 5.9. Round f to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 0.3, -45, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1269 + 323*v - 325*v + 1269.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97382621 is divided by 32460868?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 7 = -2*l. Let d(y) be the third derivative of 11*y**5\/60 + y**2. Calculate the smallest common multiple of d(l) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22 - -36. What is the highest common factor of 70 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25 - 13) + (-6 + 1 - (-6 + 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -37*o - 4. Let y be h(-2). Let v be y\/22 - 6\/33. Solve -v*f - f = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 28 = -5*m - 21, -100*m - c + 298 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 143 in -3\/5, -0.1, -13, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = 2*k + 5*k. Let a be k\/120 + (-23)\/(-6). Let l be 3*a\/(-18) - (-24)\/9. Solve l = -j - 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from leoennnnl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*o - 259 = -277 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h + 2. Let g = 1 - 3. Let v(m) = 3*m + 5. Let p(c) = g*v(c) + 5*w(c). Let a(r) = 10431987*r - r**2 + 5 - 5 - 10431987*r. Determine a(p(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 240 and 10764?\nAnswer: 215280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.45 + 0.44999963. What is k rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40 - -5. Let w = 49 - i. Find the second derivative of 7*h**w + 30*h - 4699*h**2 + 4699*h**2 wrt h.\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (42\/12 + 3)\/(24\/(-240)). Put k, -1, 4, -5 in descending order.\nAnswer: 4, -1, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*(-8)\/(-20)*-1*8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -390, 1, -1.\nAnswer: -390, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {g: 5, l: 3, j: 2, i: 5, x: 1}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.3, 4\/3, 4\/7 in descending order.\nAnswer: 3, 4\/3, 4\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/3, 1\/5, 0.11, 40\/9?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4968545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*(y**(2\/19)*y)\/y))\/(y\/(y\/(y*y**(1\/2)*y))*y))\/(y**(-1))**(13\/2) assuming y is positive.\nAnswer: y**(55\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x**2\/11 + 72440*x\/11 - 655944200\/11 = 0. What is x?\nAnswer: 18110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2 + 0 - 1 + 3 + s. Is 16 a factor of v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30672376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 7*g - 4. Suppose -12*q - 3360 = -54*q - 70*q. Calculate the lowest common multiple of q and r(7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g**3 - 2*g - 1. Let z(b) = 6*b**3 - 6*b - 3. What is 7*x(q) - 2*z(q)?\nAnswer: 2*q**3 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221056 is divided by 46.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 147304 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -87932*i**2 + 564699*i wrt i?\nAnswer: -175864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-819)\/42)\/(339\/348 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 - 2*f + 0)*(100 - 100 - 23*f**2) + 0*f**3 - 8*f**3 + f**3)*(4*f - 4*f - f) in the form m*f**2 + w*f**3 + t*f + p + i*f**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3623341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*1.414.\nAnswer: 4.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8297 = -265*s + 21520 + 28117. Let a = 165 - 81. What is the lowest common multiple of s and a?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -662 + 679. Calculate the lowest common multiple of 2*g - (0 - 6) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 3*d. Let f(h) be the first derivative of -h**3\/3 - 4. Give a(f(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 + 12. Let t = 53 - 57. Let k be -2 - q\/((-5)\/t). Calculate the greatest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {l: 10, s: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 659137.\nAnswer: 659137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.5?  (a) -5  (b) 76  (c) -2  (d) -113433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.05 - -0.05. Let n = -96 + 98. Which is the closest to -2\/15?  (a) n  (b) x  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83483*v**3 - 103*v**2 + 103*v**2.\nAnswer: -83483*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuuuuuuu. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 5*l - s, 0 = 6*l - 8*l + 2*s + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w**2. Let t(s) = -10*s**2 - 3*s - 3. Let c(g) = 9 + 5 + 49*g**2 + 2*g + 12*g. Let a(r) = -3*c(r) - 14*t(r). Calculate a(l(b)).\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/1759 and 79\/7036?\nAnswer: 7036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -1 - 0) + -44 + 4 + 44.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5491, -5329, -5167, -5005, -4843?\n\"Answer: 162*i - 5653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-11480)\/192 - 32\/24. Which is bigger: p or -62?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -120302042 (base 5) to base 15\nAnswer: -aed67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.448689 tonnes in nanograms?\nAnswer: 2448689000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 728814 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2148*q + 4 + 2*q**3 - 2*q**4 - 2148*q + q**2 to the form u*q**2 + r*q**4 + b + f*q + h*q**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 109176 and 90980.\nAnswer: 545880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 c, 1 v, and 1 u when four letters picked without replacement from wvucvfuhhuwvwvvwcv.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, o: 2, n: 4, y: 2, b: 2, e: 1}. Give prob of picking 1 k and 1 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v**4 + 4660*v**3 - 28084*v**2 + 23468*v + 56208 = 0 for v.\nAnswer: -1171, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*(-10)\/(-270)*9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(152) + -2*sqrt(152)))\/(sqrt(96)\/(sqrt(12)*1)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 3)*(0 + 1 + -2). What is the second derivative of 5*o - o - d*o - 7*o + 9*o**2 wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8\/41 in 4, -3, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1482205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of a**4\/4 + 7*a**3\/3 - 11*a**2\/2 + 6*a + 1. Let l = 16 - 24. Is 15 a factor of m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1449 - 1217. Calculate the remainder when j is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**3\/5 - 4*m**2\/5 - 2*m\/5 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 4*x**4 + 17784*x**3 + 20593280*x**2 + 1818213000*x + 1797637500 = 0.\nAnswer: -2175, -95, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15.59 - -1.49. Let d = a + 13. Let w = 0.1 + d. Sort w, -0.5, -3 in descending order.\nAnswer: -0.5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 345785, 345753, 345735, 345737, 345765, 345825?\nAnswer: 345923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-four fifths of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 4:39 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/1 - (3 + -6). Let t be -2 - (x + (-206)\/52). Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {p: 2, i: 2, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 divided by -27?\nAnswer: 28\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/8*(-4 + -6). Let x = 3.49 + -6.5. Let w = 0.01 + x. Which is the nearest to -0.1?  (a) w  (b) d  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*g - g + 2*g)*(3*g**2 - 6*g**2 + 2*g**2) + 6*g - 6*g - 4*g**3 to v*g**3 + b*g**2 + k + s*g and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22244361889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 + 8*j**2 + 25*j + 45. Let t be b(-4). Solve -t*k = -10*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6*(-2 - (-15)\/6). Suppose -c*j + 85806 = -5*j. Let v be j + -1*(-2 + -1). What is v rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + q + 20. Suppose 2*l - 5 = -2*m + 13, q*m - 18 = 4*l. Let p(v) = 2*v + 5. Let i(y) = -1. What is m*i(x) + p(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -531, -4301, -14547, -34509, -67427, -116541, -185091?\n\"Answer: -540*j**3 + 2*j**2 + 4*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 104673*z + 941934. What is y(-9)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/4 + 135\/508. Let g(l) = -15*l - 391. Let h be g(-26). Is m less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 90*w - 621. Let i be f(9). Calculate the highest common divisor of i and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 233072 is divided by 19418.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, p: 1, o: 2}. What is prob of sequence pw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -139 - -141. Solve g*o + 2*o + 16 = u, -4*u + 9 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 819847.\nAnswer: 7, 173, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/5)\/((-88)\/352*24\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, q: 3, c: 2, t: 6, k: 4, p: 1}. Give prob of picking 1 i and 1 q.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-1)\/3)\/((-560)\/(-1140))*2 and -27\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 6:23 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -10*t + 2*t. Suppose -2*z - 5*g - 14 = -8, t = -5*g - 10. Solve z*f - 45 = 11*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1728 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 359957.\nAnswer: 13, 27689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7\/(2 + -2 - -1). Suppose -3*g = -9, v*j - 4*j = -4*g + 30. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 137508 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6932 - -6934. Suppose 2*i - 5*y - 3 + 38 = 0, 3*i + 4*y = 5. Put i, o, -4, 0.05 in descending order.\nAnswer: o, 0.05, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -28608\/7 or -4086?\nAnswer: -28608\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - (-16)\/3 - 1\/3. Let x = 2 + 1. Suppose m - 5 = -x*r, -26 = -5*m + v*m + 2*r. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5845 is divided by 158.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*q**3*s**3 + 657*q**3*s**2 - q**3 + 141*q**2*s wrt s?\nAnswer: -30*q**3*s + 1314*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 92575.0072 + -92531. Let r = -2.3 - -46.3. Let y = j - r. What is y rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 32\/13  (b) 0.2  (c) -6  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 16766992 divided by -1524272?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -57*q + 4. Let t be p(-3). Suppose t = 8*r - r. Suppose -2 = -3*o + 3*v + r, 5*o + 3*v = 53. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2392987 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1111076823 and 717?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -4*k + 182. Determine c(45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 52*h**2 + 366*h - 144. Give z(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*d + 41778 = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -110072 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2025661523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2470, -2492, -2514, -2536, -2558?\nAnswer: -2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 35*k + 159. Let l be w(4). Put -5, l, 0 in decreasing order.\nAnswer: l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 0 + (-1 + sqrt(2299) + sqrt(2299) + -1 - (sqrt(2299) - (2 + sqrt(2299) + -1)))*1)**2.\nAnswer: 132*sqrt(19) + 9205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44010 + -2.\nAnswer: -44012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 899 (base 11) to base 16.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*a**3*r**3*t*z - a**3*r**2*t*z**2 - 2*a**3*r*z - 2*a*r**2*t*z**2 - 327*r**3*z**2 + 40*r**2*t*z**2 wrt r?\nAnswer: 24*a**3*t*z - 1962*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*w - 77*w + 11*w - 1554 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from {u: 2, o: 10, p: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of 0*f + 0*f**3 + 22*f**2 - 1\/210*f**7 + 0 + 0*f**6 - 7\/20*f**5 + 0*f**4. Find the third derivative of w(t) wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 + 13*(-13 + 11) + -11\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -20607\nAnswer: 1\/6869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 4*u = -94, w - 4*u - 10 = -0*u. What is the greatest common divisor of w and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16511382779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 PM and 5:06 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**4 - 675*b**3 + 2007*b**2 - 2001*b + 666.\nAnswer: 3*(b - 222)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -1 and -5.349.\nAnswer: -6.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71492 is divided by 6061.\nAnswer: 4821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2638872 or 2638875?\nAnswer: 2638872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -64*p + 38 + 282. Solve -p = 6*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 15*d**2 + 36*d - 148. Calculate s(17).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -172, 684, 1, -6 in decreasing order.\nAnswer: 684, 1, -6, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 533 and 5434?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 141, 162, 203, 270, 369?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13592?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 32 + -10 + (9 - 9 - -14 - 2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 2\/7, -2\/7, -7, 559, 11?\nAnswer: 559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 39862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 692370 and 1575?\nAnswer: 3461850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -120*o**3. Let r be ((-1)\/2)\/(141\/18 + -8). Let h(v) = -7*v**r - 464*v + 464*v. Give 2*f(g) - 35*h(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.610141763 rounded to 2 decimal places?\nAnswer: -2.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 219 and 133283473?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 46870 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/5 + (-212)\/30. Let l = h - -22\/3. Let w = 113255\/3 + -37752. Which is bigger: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/437 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53066?\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*i**5 + 0*i**5 - 3*i**5 - 32919*i**4 + 32919*i**4 - 31*i**5 + (3*i + 0*i - i)*(-i**4 + 0*i + 0*i) + 0*i**4 - i**5 + 0*i**4.\nAnswer: -32*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 136000 = 2*s. What is s rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 171834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1849 + -1852. Which is the closest to 2\/3?  (a) h  (b) 0.3  (c) 124  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 4 - 18 = -c, -4*c + 3*u + 17 = 0. Factor 4 - 4*h**3 - 17*h + 129*h**c - 117*h**2 + 5*h.\nAnswer: -4*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*h + 2*t, -t + 0*t = -2*h + 4. Suppose -4*x + h + 5 = 0. Suppose 0 = x*v - v. Solve v = 2*d + 2*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3485680 divided by -340?\nAnswer: 10252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 3:36 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {j: 2, d: 1, w: 1, p: 2, a: 1, t: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30474 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3.9  (b) 3  (c) -13\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2. Let y(n) = 302410*n. Determine y(j(f)).\nAnswer: -302410*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1745*b**2\/2 - 7*b = 0.\nAnswer: 0, 14\/1745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 16\/(-10))\/((-128)\/320)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*c + 3*c - 2*c)*(5*c - 9 - 10*c - 2*c + (4 - 4 + 19*c)*(3 - 2 + 0)).\nAnswer: -60*c**2 + 45*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5\/5*(-4)\/(-16). Let i(w) = -w**3 + 8*w**2 - 2*w + 16. Let q be i(8). Which is the closest to 3?  (a) q  (b) g  (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -63 - -109. Suppose -3*o - q = -o. Let f = o - -33. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4293246*i**3*m - 1269*i**2*m - 9*i**2 + 36*m wrt i?\nAnswer: 25759476*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14 by 86.\nAnswer: 7\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d + 1. Let c(b) = -95*b - 105. Let f(y) = c(y) - 5*w(y). Find the first derivative of f(m) wrt m.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546941?\nAnswer: 17, 32173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12264089, 24528175, 36792257, 49056335?\nAnswer: 61320409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*2 + (-11)\/((-55)\/(-21))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4080 divided by -6?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2124*p - 10626. Determine c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 32*b**2 + 1. Let a = -22 + 21. What is the tens digit of j(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 0.14591059\nAnswer: -0.29182118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 5. Let y = p - -5. Let j(z) = -2*z. Calculate j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 175, 176, 177?\n\"Answer: o + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2. Suppose 5*w + 1 = 16. Suppose -g + 5 = z, 4*z = z + g + w. Let d(n) = -n + 5*n - z*n. Determine j(d(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(225) - sqrt(225))\/sqrt(5) + -1*sqrt(720))\/((sqrt(144)*-2 - sqrt(81)\/(sqrt(9)*-1))*-1) + 2)**2.\nAnswer: -12*sqrt(5)\/7 + 241\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.23 + 1.03. Which is the fourth smallest value?  (a) 1\/4  (b) 0  (c) 0.1  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 175367 divided by 1.\nAnswer: 175367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 23686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38358353 to the nearest integer?\nAnswer: 6193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 4*z + 25 + 64 = 0, 0 = 4*z - 8. Put i, -1, -3 in increasing order.\nAnswer: i, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + 58766167?\nAnswer: 58766172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 327*r**6 - 4207*r**2?\nAnswer: 39240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -3. Let d(i) = 4*i**2 + k - 5*i**2 + 0*i**2 - 2*i + 0*i**2. Let b(l) = -2*l**2 - 3*l + 3. Give -2*b(q) + 3*d(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -103*v - 3. Let q(f) = 69*f + 2. Calculate 5*g(c) + 7*q(c).\nAnswer: -32*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 247380304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 1044?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) 18  (b) -2\/17  (c) 438  (d) 2\/7  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 25005 + (-4)\/(-2)*-1 + (-15 - -20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27976 - -47466. Round x to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 923*t - 926*t = 0. Solve t = 17*l - 11*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 10) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 405\/(-30)*(-4)\/(-12).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 4. Let t(f) = f**3 - 7*f**2 + 7*f + 1. Calculate t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453226165 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(3\/13))**(-2\/75) assuming l is positive.\nAnswer: l**(-2\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2311.4 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= 8786862\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -24 + -641.24367\nAnswer: -665.24367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(17) + 1 + -5)**2.\nAnswer: -18*sqrt(17) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 489893, 489542, 489193, 488846, 488501?\nAnswer: 488158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 - 50.8. Which is the smallest value?  (a) f  (b) 3  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3 + 4*u + 0 - 1. Let g(q) = -2*q**3 + 20*q**2 - 22*q + 39. Let d be g(9). Determine o(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5, -84, -297, -710, -1389, -2400?\n\"Answer: -11*i**3 - i**2 + i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100 = 5*c + 6*p + 127, -3*c + 3*p - 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*c*q*t**3 + 1759131*c*q*t**2 - 2*c*q*t + 2*c*q - 530*c - 7*q*t + 2*q - 13*t wrt t?\nAnswer: -12*c*q*t + 3518262*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u**3 + 25*u**2 + 47*u + 23 = 0. Calculate u.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2397 + -2453 + (15 - -1)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*q + 102*q = -12, -44 = 4*h - 9*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25042 - 8313. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aam when three letters picked without replacement from {m: 3, a: 10, i: 4, q: 3}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 6*x**2 + 3*x - 3. Let d be t(3). Suppose 2*r + 2*r - g - d = 0, -2*g - 30 = -2*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1636000 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5006 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 5*b - 12, 2*y - 217*b - 3 = -216*b. Sort 12, y, 6, 5 in descending order.\nAnswer: 12, 6, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3118613029 - 3118613029 - 493*a.\nAnswer: -493*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1100101000010001100101 (base 2) to base 3\nAnswer: -20020012102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from pmmgppggmapp.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 5*m**2 + 24*m - 12. Let t(r) = -r**2 - 6*r + 3. Let j(c) = -9*t(c) - 2*x(c). Let g be j(5). Suppose o - 48 = -g*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 273689 - -193?\nAnswer: 273871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 24*w. Let t(r) = -4*r**2 - 6*r. What is o(t(h))?\nAnswer: -96*h**2 - 144*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 5*a - 11 + 27 = 0, 3*f + 48 = 3*a. Let b = f + 28. Calculate the greatest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - q = 3*q - 18, g - q = 0. Let y(c) = c**3 + 5*c**2 + c**g - 2 - c**3. Calculate y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2752532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1222 * -137\nAnswer: 167414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j**2 + 6326*j**3 + 4*j**2 - 6329*j**3 + 0*j**2.\nAnswer: -3*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*m**4 - 16914*m**3 + 9*m**2 + 50748*m + 33828 = 0. Calculate m.\nAnswer: -5638, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 0)*((-9)\/6 + (-20)\/(-40)). Which is the second smallest value?  (a) -46  (b) 21  (c) 0.4  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546401?\nAnswer: 43, 97, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 2 + 4 = 2*n, n - 3*i + 1 = 0. Suppose 6*z + 5 = n*z. What is the least common multiple of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22223000 rounded to the nearest 100000?\nAnswer: 22200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u**6*u*u)\/u)\/(u**(2\/23)\/u))\/(u*u*u**(2\/7))**(-29))\/((u\/(u**(2\/3)*u*u)*u**(-4\/3)\/u)\/((u**(-1\/6)*u*u)\/u**(1\/4))) assuming u is positive.\nAnswer: u**(154139\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-973)\/210 + (-1)\/5 + 5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*a - 1055 = -i, 4*i - 48*a = -50*a + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a factor of 744029875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -883 - -50?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cvx when three letters picked without replacement from {x: 1, c: 1, a: 2, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oll when three letters picked without replacement from ooooooloolooo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -63144 (base 8) to base 10.\nAnswer: -26212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/5 + (-34)\/85. Suppose m = 2*m - 5. Let x(f) = -f + 6. Let a be x(m). Solve g = -v + a - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 + 0.1. Let d = 27 - 25. Let z be d\/3*(-3)\/5. Do z and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -6*k + 2*k + 4*x, -4*x = -12. Solve -k*p + 10 = -2*i, -p = -4*i - 5*p + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 + q + 25. Give f(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 141 + 27. Let m = b - 39. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -101576?\nAnswer: 203152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 154 divide 8269646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 - 5*h**2 - 8*h - 2. Let j be m(-3). Let f be 64\/(-11) + (-14)\/77. Let l be 90\/(-27)*f\/4. Solve j = -3*d - l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2060535 at least as big as -2060507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9023*x + 10146*x + 44920 = 0 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h = 2*h - 213 + 87 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 406957 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -19*z + 32. Let o be c(1). Suppose 1 - o = 3*s, 272 = 3*h - 2*s. Calculate the remainder when h is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22687109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -12158, -24248, -36344, -48446?\n\"Answer: -3*o**2 - 12081*o - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 2138 - 2138. Let m = -0.24 + 15.24. Let v = m + -10. Which is the nearest to s?  (a) 0  (b) v  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12971934?\nAnswer: 2, 3, 229, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 0*v - 3 = 2*z, -3*v = z + 1. Put v, -9, -4 in descending order.\nAnswer: v, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -554, -615, -726, -911, -1194, -1599, -2150?\n\"Answer: -4*r**3 - r**2 - 30*r - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 AM and 1:07 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-2\/5)*m**(-6)*m*m**6*m**(-1\/3))\/((m*m\/m**(-8)*m*m*m**1)\/((m\/(m**8*m*m))\/m*m\/(m**(-1\/4)*m)*m)) assuming m is positive.\nAnswer: m**(-1181\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15599.96 + -15518. What is j rounded to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + 6*a**2 - a + 44. Let r be g(-6). Let y be 3 + -6 - 1 - (-215)\/r. Let t be ((-2)\/3)\/((-4)\/(-6)). Are y and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*o + 1613 = 1591 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**2. Let v(g) be the third derivative of -g**7\/5040 + g**5\/20 - g**2. Let y(j) be the third derivative of v(j). Give z(y(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j + 38. Give n(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 14635 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - 0. Let g = -0.041 - -0.099. Let k = 3.058 - g. Which is the second smallest value?  (a) v  (b) -5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -116 + 42 + 35*d**3 + 35 + 39.\nAnswer: 35*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from lellell.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -47*r**3 - 150*r**2 - 9*r - 24. What is u(-3)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -22\/9, -34, -14, -3262 in increasing order.\nAnswer: -3262, -34, -14, -22\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -5*s**3\/6 - 6*s - 59. Let a(c) = -1186*c**2. Calculate f(a(q)).\nAnswer: 5930*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -3, -1.4, 1.3 in decreasing order.\nAnswer: 1.3, -0.2, -1.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -458595728 divided by -26192.\nAnswer: 17509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((0 + sqrt(1584) - (2 + sqrt(176)) - (-4 + sqrt(275)*1)) + 2)**2 + -3).\nAnswer: -448 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*x**2 + 3*x**2 - 2*x**2)*(224 - 872 - 341)*(-2 - 1 + 1)*(-3*x - x + 6*x) to p*x + z + h*x**3 + g*x**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 34187.6 micrometers in nanometers?\nAnswer: 34187600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -63767 - -755307.\nAnswer: 691540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -2*v - a + 31, 3*v - 7 = 5*a. Let w(m) = -10*m + 11 - 1 + m**2 + 0. Let p be w(v). What is the closest to p in -5, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 7, -22, -2\/13, 1\/6, -2\/17, -0.06?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -521.731 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.15 plus 0.0508?\nAnswer: -0.0992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33103, -33100, -33097, -33094, -33091, -33088?\nAnswer: -33085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(288) - sqrt(288)*1) - sqrt(288) - sqrt(288) - (sqrt(288) - (1*sqrt(288) - sqrt(288) - sqrt(288))*-3))\/((sqrt(36)*1)\/sqrt(6) + 3*2*sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 149867622 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 1892*s**4 + 6*s**2 + 848*s + 36. Let h(u) = 4*u**4 - u**2 + u - 6. Let o(z) = -6*h(z) - t(z). What is the second derivative of o(n) wrt n?\nAnswer: -22992*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/32 and (-1)\/(-5) - (-10)\/((-50500)\/2835).\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -4\/3, 5, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (12\/((-672)\/238)*3)\/(3\/(-4))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3225 - 4?\nAnswer: 3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -370*r + 63*r - 7325 = 4830 - 3252 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10484519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -8.5, -0.4, 120644?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 8, c: 2, j: 2, e: 2, x: 1}. Give prob of sequence xr.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41 + 159 + 84 - 51)*(3*y**4 + 2*y**4 - 3*y**4).\nAnswer: 466*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 11 = u + 4, o = -4*u + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 6*n**3 + 39*n**2 - 4*n + 18. Give f(-7).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}