diff --git "a/data/dm_maths/full_data_1/125_11255.jsonl" "b/data/dm_maths/full_data_1/125_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/125_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 77824661 to the power of 1\/2, to the nearest integer?\nAnswer: 8822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(1575)*-3)\/((-1*sqrt(54))\/sqrt(6)) + 5)**2.\nAnswer: 140*sqrt(7) + 1397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 = 8. Suppose -u = 3*d - 2*d - 6, 14 = -d + 4*u. What is the smallest common multiple of z and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*(3*(sqrt(13) - (sqrt(117) + 2)) - (-5 + -5 + sqrt(52)\/sqrt(4))))**2.\nAnswer: -14336*sqrt(13) + 167168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/25 - 37\/50. Which is the nearest to -1? (a) t (b) 3 (c) 5\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 165894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*a, 0 = 4*d + a - 1. Find the common denominator of 17\/6 and (d\/10)\/((-56)\/(-1295)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*g = 20 + 138, g - 98 = -2*l. What is the greatest common factor of l and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {v: 1, q: 1, l: 1, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4417 + 38246.\nAnswer: 42663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.1602 + 0.0602. Let a = -6.3 - q. Let b = 7 - 5. What is the smallest value in b, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284468*f**4 - 100139*f + 2?\nAnswer: -3413616*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -242 + 1692\/7. Let s be (-80)\/(-25) + (0 - 3). Which is the closest to q? (a) s (b) -2 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 w when three letters picked without replacement from jjjwjjppjpp?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 137417626 to the power of 1\/2, to the nearest integer?\nAnswer: 11723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 3232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 10, 0.5, -5, 10409?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7199, -14827, -22465, -30119, -37795, -45499, -53237?\nAnswer: -61015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 5 - 629*f + 321*f + 316*f to the form p*f**2 + i*f**3 + a*f**4 + u*f + x and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-11))**(-2)*((m*m**(-2)\/m)**(-31))**(-25\/2) assuming m is positive.\nAnswer: m**(-797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o + 10884 + 1058. List the prime factors of o.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + ((-2)\/(-24) - 1). Suppose 31 = 66*n - 35. Is m equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 100 = -5*n, 0 = -3*n + 2*n + a + 20. Let t = 7 - n. Let o(d) = d**3 + 12*d**2 - 13*d + 3. Let q be o(t). Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -548 (base 12) to base 14.\nAnswer: -3d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3 + 2059*d**2 + 8224*d + 8220 = 0?\nAnswer: -2055, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-2\/21)*h**(-3\/28)\/h*h)\/(h**(-3\/13)*h*h*h)**(-14) assuming h is positive.\nAnswer: h**(44299\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuxxxxxjxujx. What is prob of sequence jxj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/(1\/9). Suppose -2*v + 20 = 2*b, 0*v - 5*b + 43 = 4*v. Which is bigger: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 72 = s. Suppose 5*g = -c + 92, 4*g - 2*c = 58 + 24. Calculate the remainder when s is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-1 - -6 - (-18 - -11) - -5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7 - q - 16 + 8. Let k be f(-3). Suppose 5*s = k*d + 417, -3*s + 2*d - 6*d + 245 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29343120 divided by -20.\nAnswer: -1467156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 7405364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 15*p + 10*p = -27, 5*a = 4*p + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 17, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*u - 3*q, -3*u + 5*q = -12. Let o be ((-10)\/4)\/((-2)\/4). Suppose 2*k - o = 5. Solve -i = k*g, -3*g - 2*i - u = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/5 - 93*y**2\/5 - 4*y + 69\/5.\nAnswer: -(y + 1)*(y + 23)*(4*y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/(-5)*(-1)\/(-3). Determine k, given that 56*k - 15 - 1 + 18*k**3 - 49*k**2 - 11*k**f = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(100)*2 + sqrt(100)) + sqrt(100) + sqrt(100))\/sqrt(2) - 1*sqrt(800)*-5.\nAnswer: 65*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 9*w**5\/40 + w**4\/24 + 11*w**3\/6 - 45*w. Let u(s) be the second derivative of a(s). Determine u(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 209\/(-187))\/((-312)\/221)*28.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11833784.8 rounded to the nearest 10000?\nAnswer: 11830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d**(2\/3)*d)\/d)*(d*d**5)\/d)\/((d*d**2\/d*d)\/d*d\/(d*d**(-5\/4))) assuming d is positive.\nAnswer: d**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655 - 689 = -4*f. Suppose 30*l - f = 27*l. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:24 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 7610 = -67162. List the prime factors of b.\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*j + 7*j + 3*o, 5*j + 11 = 2*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 3*i + 4. Let v = -183 - -169. Suppose k = 5*n - 0*k + 51, -4*n = 3*k + 37. Let o = n - v. Determine d(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 13. Let x(j) = 17*j**2 + 8*j + 1. Let h be x(-1). What is p(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-14)\/((-84)\/33798) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 235543*t**2 + 363907*t wrt t?\nAnswer: 471086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -2310?\nAnswer: 2307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/3552101 and -139\/42?\nAnswer: 21312606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30672.88ml to litres.\nAnswer: 30.67288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.225 + -169.775. Let j = t + 171. Let m be 3\/4*(-4)\/6. Which is the nearest to 1? (a) m (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - k**3 + k**3 + (-10 + 26 + 18)*(3*k**4 - 3*k**4 + 4*k**4) as c*k**3 + d*k**4 + n + o*k**2 + w*k and give d.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 4*i**2 - 5*i - 5. Let f be n(-4). Suppose 4217*p - 154 = 4203*p. Find the third derivative of f - p - 4 - 15*h**2 - 3*h**6 wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + -3 - (11 - (18 + -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 1 - 21. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1089, -2275, -3461, -4647, -5833, -7019?\nAnswer: -8205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2987199 to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1 + 5 = 0. Suppose 120 = h*f - 6*f. Let p = f + 51. Calculate the least common multiple of 9 and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Let a = -3.5 + u. Let n = -0.6 + a. What is the third smallest value in n, 5, -1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 300728.\nAnswer: 19\/300728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1068950223 to the nearest integer?\nAnswer: 32695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*b = 31, -4*b = 3*j - 2*b + 11. Let a = -3 - j. Let c = 3 - a. Is c greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(68)*3*-6 + 0 + -2)**2.\nAnswer: -144*sqrt(17) + 22036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.74 * -21148.\nAnswer: -57945.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 5138516*w\/7 + 5138514\/7.\nAnswer: 2*(w - 2569257)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*d, -6*d = -5*q + 2*q + 1323. Is 36 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-3)\/(-9) - 85. Let x be -2 - -1 - 22\/y. Let j = x - -4\/7. Put j, 0, -5 in descending order.\nAnswer: 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(10\/1))\/(5\/(585\/(-26))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 4670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 17. Suppose 2*g - d = g. Let i = g + -3. Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13889 and 2856017?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 368 = 18*w. Suppose -176 - w = -3*m. What is the greatest common factor of 48 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 8) in base 11?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g*m**2*r + 3*g*m - 21168*g*r - 4*g - 146*m**2*r + 8*m*r + r - 3 wrt m?\nAnswer: -8*g*m*r + 3*g - 292*m*r + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/5 - 22*q**2\/5 + 8*q\/5 + 88\/5 = 0. Calculate q.\nAnswer: -11, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 112.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000047417845 rounded to seven decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 6*a = 10*o - 78, -5*o + 5*a = -135. Solve -3*c - o + 22 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9408, 176, 6.\nAnswer: -9408, -5, 6, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6999d (base 16) to base 7.\nAnswer: 161542532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 796*f + 1840*f + 60113 + 69051 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 129497*j\/3 + 64748\/3.\nAnswer: (j - 64748)*(2*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -20. Let z = -110 + 121. Find the second derivative of 8*x**3 + u*x**3 + 6*x + z*x + 7*x wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -7) + 1 + 0 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 339 + -334. Suppose 0 = -3*i + 113 + 7. Factor v*b**2 + 43*b - 93*b + i*b.\nAnswer: 5*b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 k when four letters picked without replacement from yxkykgxxkgykxsxkk?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/344 and -21\/688.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 1. Let z be f(-1). Let q(g) = -3*g + 1. Let i be q(z). Let v = 80.5 + -81. What is the third biggest value in -0.2, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5 - 209*h**4\/3 - 364*h**3\/3 + 1021*h**2\/3 + 394*h = 0. What is h?\nAnswer: -197\/6, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 8. Let p be u(-6). Let j be -1 + (5 - (-2 - p)). What is the second derivative of -j*f**2 + 3*f - f + 4*f**2 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0*l**2 - 1 - 11*l**3 - 3*l**3 - 2*l - 2*l**2 + l**2. Let a be j(-1). Suppose 175 = -3*n + 8*n. Calculate the greatest common factor of a and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 108*y + 453. Determine m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404973 to the power of 1\/2, to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -6*o + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j - 2*j)*(-8*j - 11*j + 12*j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 157580253 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: Let n(i) = -i**2 - 4*i - 1. Let t be n(-3). Suppose 0 = 3*j - 4*j + 5*f, 0 = -t*j - f. Is j not equal to -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -589*i**2 + 1027*i + 9478302 wrt i?\nAnswer: -1178*i + 1027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481 is divided by 71.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {q: 1, v: 3, g: 1, k: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4367.\nAnswer: 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329171 is divided by 435.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*p - 0 + 40, 2*u + 5*p - 31 = 0. Let w = -18 + u. Let b = 15 + w. Solve 0 = 3*g + q - 8, b*g - q + 10 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxvxnvxnxvvnnnxnxxv. What is prob of picking 2 x?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20663 + 20644. Which is smaller: -118 or k?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + t. Let y be n(0). Let i = 3 + y. Solve -2*c + i = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 296 = -m. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.64 + -6.24. Let r = f - -6. Which is the nearest to 1\/4? (a) -0.5 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - -11. What are the prime factors of d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(11\/3))\/(3\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6465 = -51*f - 3633. Let l = 201 + f. Solve -23 = -5*o - l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 2*s**2 - 3*s + 2. Suppose 0 = -0*x + x + 3. Let o be r(x). Suppose -o*b = b - 75. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2190, 2228, 2290, 2376, 2486, 2620, 2778?\n\"Answer: 12*o**2 + 2*o + 2176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4467.283nm?\nAnswer: 0.004467283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -208996, -417940, -626704, -835198, -1043332?\n\"Answer: 15*m**3 - 209049*m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 95700 divided by -50\nAnswer: -1914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9367.002 seconds in nanoseconds?\nAnswer: 9367002000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:45 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - x - 3, 6 = -2*x - 0. Solve -3*d + 5*d + 2 = b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4594, 4595, 4596, 4597, 4598, 4599?\n\"Answer: r + 4593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l, 4*n + 0*n - 18 = -2*l. Solve -11*g + 9 = -n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*s + 4*n, 685 = -5*s - 5*n + 730 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -586, -8, -1\/5, 2\/13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = 6*c. Suppose -3*y - 2*a + 4*a = 3, 0 = -y - 2*a - 1. Let x = y + c. Solve x = -6*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017406 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -626 + 626. Which is the nearest to 2\/3? (a) -2\/5 (b) i (c) 2\/3 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -14. Let p = -9 + t. Sort -3, p, 4.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(156\/40)*6\/(-4). Suppose -3*t + 177 = 3*h, z*h + t - 6*t - 305 = 0. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16059, 63476, 142251, 252384?\nAnswer: 393875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3705236219?\nAnswer: 31, 119523749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2537*o + 68017348 - 68017348)*(0 - 1 - 1) in the form k*o + n and give k.\nAnswer: 5074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2204.7 - 2062. Let q = -143 + u. Which is the second biggest value? (a) 2\/7 (b) -0.2 (c) 0.3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 817, 810, 803?\n\"Answer: -7*y + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 15 = 5*k. Suppose 0 = 4*u + k*y + 12, 5*u - 2*y + 2 = 10. Suppose u = -0*i - 4*i + 40. What is i rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*w - 3*w**3 + 60 + 19*w + 82 + 60 - 68 wrt w?\nAnswer: -9*w**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/165)\/(8\/(-350))*2\/(-5)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22265061 - 41.04?\nAnswer: 22265019.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -88726.\nAnswer: -1\/8066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(-2\/5)*v)\/v*v))\/v**8)\/(v**(4\/19))**13 assuming v is positive.\nAnswer: v**(-982\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 - g**2 + g**2)*(g + 2 - 2)*(-g - 16 - g - 3) to the form f*g**2 + u + z*g + x*g**3 + l*g**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1415*k + 2598*k = -1354*k + 1385*k + 75658 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 9*a + 10. Give x(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**3*v*y**3 + 101*t**3*v*y + t**3*y + 176*t**2*y**3 - 6*v*y**3 + y**2 wrt y.\nAnswer: 6*t**3*v + 1056*t**2 - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 17 - 153. Let c = 29 + k. What is the third biggest value in c, 0.5, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/77)\/((-1230)\/42 - -29). Factor -n - 1\/11*u**5 + 4\/11*u**4 - 4\/11*u**3 - 2\/11*u**2 + 5\/11*u.\nAnswer: -(u - 2)*(u - 1)**3*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.3 (c) -11509 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -22*o**2 - 33*o + 4. Let n(m) = -109*m**2 - 165*m + 22. Let b(z) = -11*h(z) + 2*n(z). What is the second derivative of b(l) wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 2*w - 2*w)*(2 - 5 + 4) - 3 - 2*w + 3 + (2 + 2 - 2)*(-121*w + 123*w + 430*w) in the form y + i*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*c - 2*v + 21, -12 = -c - 2*v. Solve c*t = -2*s - 3*t - 16, -s - 18 = 5*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241522 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/(-128))\/(545\/7412)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 564246466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -69, -160, -297, -486, -733, -1044, -1425?\n\"Answer: -v**3 - 14*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10526 + 12000 = 67*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 144 = -57. Let n = 97 - g. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 1 + 14. Suppose 8 = 3*o - r, -12 = -o - 2*r + 7*r. Which is the nearest to 0? (a) n (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3a13 (base 15) to base 16\nAnswer: -3069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(39)\/sqrt(3) + sqrt(13))**2 + (-1*sqrt(13) + 0)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 6 - ((-2 - 1 - -3) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-10))\/(1\/2). Let l = 132 + -136. Let u be l\/6*15\/(-2425)*-5. Is m bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l\/(l\/(l\/(l**(1\/5)\/l)))))**(1\/8))**(-5\/3))**(1\/37))**(-3) assuming l is positive.\nAnswer: l**(-9\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*h*n**3 - 79*h + 5413*n**4 - 44 wrt n?\nAnswer: 30*h*n**2 + 21652*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 11*o + 189. What is the remainder when 77 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fefeeef. What is prob of picking 3 e and 1 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 56 = -10 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47306 + 46986.19. Round u to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(693)\/(sqrt(44)\/sqrt(4)) - sqrt(1008)*-6)\/(-2*(3*sqrt(81) - sqrt(81))\/sqrt(9)).\nAnswer: -25*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.56 + -0.44. Let u = c - -22.925. What is u rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-154 - 547 + 170)*(-i - 4 + 4) in the form c + g*i and give g.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6368 is divided by 5451?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzwvnwzwqdvvzqnnwnvz. What is prob of sequence vw?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y - 180 = 0. Suppose 0*w - w = -2*b - 12, 0 = 5*w - b - y. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - 3*s - 2*s**3 + (-2*s + 6*s - s)*(-4*s**2 + 3*s - 10 + 10) + (0 + s**3 + 0)*(5 + 0 - 3) to b + m*s**3 + f*s**2 + k*s and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 8134.\nAnswer: -325.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2868724 or -1?\nAnswer: 1\/2868724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/8)\/(51\/24 - 2). Let v(x) be the second derivative of x + 0 - 1\/12*x**4 - 1\/2*x**d - 1\/3*x**3. Let v(t) = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 20902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 8. Let r be m(9). Let t = r - 1. Suppose 4*x = -t*x + 5*o + 3, -2*o - 11 = -3*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*d = 9, -672*d + 15 = -5*u - 673*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8675 + 8676.13405. Round x to two dps.\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 143928*k**2 + 575736*k - 575744.\nAnswer: -2*(k - 2)**2*(k + 71968)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 103.0188 months?\nAnswer: 0.0085849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 0, 3*n = -3*y + 6*y - 300. Calculate the smallest common multiple of y and 315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubzu when four letters picked without replacement from bbbuzbzbbzubz?\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (29 + -26)*2\/42\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 + 6 = 0. Suppose 4 = z*k - 12. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 8*v + 2. Suppose -18*x = -29 - 7. Suppose l - 4 = -l - x*h, -4*h = -2*l + 28. Determine f(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 14*x**2 - 11*x - 4. Is s(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixteenth of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1497 + 1490.69. Let d = u + 5.45. Is -1 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**3 + 3*f**2 + 3. Let g(m) = -18*m**3 + 5*m**2 + 5. Suppose -42*i + 156 = 10*i. Determine i*g(k) - 5*o(k).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 22*p + 11. Let t(m) be the third derivative of -m**5\/60 + m**4\/24 + 13*m**2. Let n(i) = -g(i) - 2*t(i). What are the prime factors of n(16)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/5160 and 109\/161328.\nAnswer: 34685520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 5, 4 in decreasing order.\nAnswer: 5, 4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p**3 + 11*p**2 + 11*p - 11. Let s(g) = -4*g**3 + 4*g**2 + 4*g - 4. Let b(q) = -q**3 - 8*q**2 - 7*q + 11. Let k be b(-7). What is k*s(d) - 4*u(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 4, e: 10, t: 1}. What is prob of sequence xx?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 + 179*r**2 - 106*r + 1464. What is d(89)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3\/(-6)*-1)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Put d, 3, -5 in ascending order.\nAnswer: -5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38.1 in 0.1, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.6, 5, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*w**3 + 0*w + 0 - 112\/5*w**2.\nAnswer: -w**2*(w + 112)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 16184*f - 210730.\nAnswer: 2*(f - 13)*(f + 8105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -31, 67 in decreasing order.\nAnswer: 67, 2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, s: 2, e: 6, o: 4}. Give prob of picking 1 e and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -22*j + 74868. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 15*o**2. Let d(v) be the third derivative of -v**5\/30 + 22*v**2. Give d(j(x)).\nAnswer: -450*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168*f + 82*f + 73*f - 117 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4001 is divided by 1160.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 779 + -1371. Let f = 605 + h. Let c(g) = g**2 - 13*g - 5. Determine c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**3 + j**2 - j. Let d be k(1). Suppose -2*v - 6 = d*b, 4*b - 5*v + 13 + 5 = 0. Is b at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 60*m + 138. What is the units digit of k(31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68536399553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + -6 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:27 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2656284497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 = -10*n + 436 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3de30 (base 15) to base 11.\nAnswer: 12651a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2736)*1 + 2 + -1 + -6*(-2 + 2 + sqrt(2736)))**2.\nAnswer: -360*sqrt(19) + 68409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 6*o - 1. Let t be z(-4). Find the first derivative of t*a**3 + 5*a**4 + 6 - 55*a**3 - 2 wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 20*s**2 + 118*s - 233. Calculate g(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 + (-3 + 2)*-4. Suppose -13097 + 3797 = s*l. Round l to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862088887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5322 = -3*b - j + 8927, -3*b = 3*j - 14241. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 303 + -298. Let o(u) be the third derivative of 0 - 8*u**2 + 1\/60*u**b - 1\/4*u**4 + u**3 + 0*u. Calculate o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -200265 and 374.\nAnswer: -74899110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 6*n - 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 865765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106735448 and 40025793.\nAnswer: 320206344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33218 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 5*p - 7. Let j be z(-5). Let d = j - -4. Let q(k) = -k**2 - 4*k - 1. What are the prime factors of q(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*3\/5*-1. Let d = -2\/35 - -76\/105. Factor d*l**r - 2\/3*l - 2\/3*l**2 + 2\/3.\nAnswer: 2*(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -32, -72, -132, -218, -336?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-5)\/(-10) + 60\/(-24)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = u + 5*x, 2349*x = 2*u + 2158*x - 382 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (2 - 5)) + (-10 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.021 - 20.979. Let u = l - -33. Let c = u - 10. What is the third smallest value in -4, 3\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + 5*v - 2*v + (3 - 5 + 3)*(4*v + 15 - 15) + v - 3*v - 3*v to the form l + a*v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - -4 - -28 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -166268 < -166158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-12) + 122\/6. Let i be (-42)\/(-5) - (1 + (-12)\/b). Suppose 4*h = i*h - 44. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 6*j**2 + 7*j - 6. Let v be f(5). Solve -v*u - 2 = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 401 + -398. Suppose 3 = -7*v + z. Suppose 3*o - o = 6. Solve -h - o*h - 4 = v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.82 and -78.33?\nAnswer: -64.2306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmbbbm. What is prob of picking 2 m?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 11*f + 28. Let z be y(9). What is the smallest value in -0.1, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 2*f = 44, -4*f + 48 = -2*u - 41 + 97 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -106, -122, -154, -208, -290, -406, -562?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqqjjqqqhhjqj. What is prob of picking 2 q, 1 h, and 1 v?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -k - 182, -3*w - 3*k + 131 = -k. Suppose -2*d + w = -3*v, 3*d + v = 3*v + 80. Suppose 0*a + d = 5*a. Solve 3*r + 3*h = -a, 7*h = 3*r + 4*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9)*1 + sqrt(9))*-1.\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 7*b**2 - 9*b + 10. Let t be d(8). Let x(c) = 5*c**t + c**3 - 4*c + c**2 - 7 + 2*c. What is the units digit of x(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1762 - 1727.24. What is z rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 16) in base 14?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 6*s**2 + 7*s + 4. Let q be a(-7). Let c = q - 1. Suppose -c*l - l = -8. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (13 + -2)*(-1 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 3*t**2 + 433*t**3 - t**2 + 475*t**3 - 917*t**3 + 3*t.\nAnswer: -9*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(245)*4 + sqrt(245) + sqrt(245) + 1 + 0 + sqrt(245) + sqrt(245)*1 + 0))**2 + 5 + 1.\nAnswer: -56*sqrt(5) + 3927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12*l - 2. What is x(-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2001050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102912286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 13*d**2 + 56*d + 822. Determine r(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -2, -17466, 0.08, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -79. Let u be ((-2)\/(-5))\/((-1)\/(-30)). Let r be (u\/(-5))\/((-3)\/(-15)). Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1503, -1432, -1313, -1146, -931, -668, -357?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-110))\/(4\/(-10)). Let i = -47 + 51. What is the closest to -1 in a, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 + 372. Let w = 562 - g. What is the nearest to 6 in 5, -2, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*g - 4*g - 19, 0 = -4*x - g + 35. Let s(b) = 6*b + 44. Let o be s(-5). Suppose 56 = o*z - 7*z. Is x at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -35202*o**2 + 211183*o + 13. What is w(6)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**17)*j**(-2\/5))**17 assuming j is positive.\nAnswer: j**(-1479\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 31 = -5*l - 23, 0 = -5*l + 20. Calculate the remainder when 146 is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*t - 5*q, 5*t + 2 + 10 = -3*q. Suppose -c - 1 = -4*z, 3*z = -t*c + 4*c - 9. Let p(m) = c*m + 2*m - 3*m - m. What is p(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*y - 182*y + 396*y)*(-8*y + 10 - 4*y + 13*y).\nAnswer: 60*y**2 + 600*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/4 + h**2\/2 + h + 121. Let p(a) = 2*a + 1. Let l(d) = -8*d - 5. Let x(c) = -2*l(c) - 9*p(c). Determine 2*v(g) + x(g).\nAnswer: -2*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211211 - -1002?\nAnswer: 11212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 7*r + 3. Let h be f(-7). Solve h*z + 11 = -4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/28905 + 266571\/77080. Let f = 9050 - 144857\/16. What is the common denominator of f and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + 3*y**2 - y. Let b be c(2). Let q = -12 - b. Which is bigger: 2\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67121 is divided by 11003.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -187256, -187261, -187266, -187271?\n\"Answer: -5*t - 187251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -661.03*-0.0775\nAnswer: 51.229825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/8 of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/4 + -2 + 6. What is the biggest value in 3, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42967 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 792984 divided by -4\nAnswer: -198246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11275d (base 16) to base 2\nAnswer: -100010010011101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/110 and 15\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 12. Let p be d(5). Suppose 3*h = p*h - w - 41, w = 3. Calculate the smallest common multiple of h and 4*(-2)\/(-4)*1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - (sqrt(30) - sqrt(150)\/sqrt(5))*5)\/(1*sqrt(1210) + sqrt(1210)) - ((sqrt(300)\/sqrt(5))\/sqrt(5))\/(sqrt(4) - sqrt(64)\/sqrt(4)))*-6.\nAnswer: -69*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d + 13*d - 80 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -2) + (-4 - -1). Suppose 0 = s*i - 4. Suppose 4*h + 5*n = 429, h - i*n = -0*h + 104. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 - 6*t + 5. Let i be d(5). Suppose i*n - 63 = -3*n. What is the remainder when 58 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/161 (b) -161 (c) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 722\/252519?\nAnswer: 722\/252519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*b - 244 + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/17804160 and -127\/2967360.\nAnswer: 17804160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.498231105 minus 27309?\nAnswer: -27317.498231105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -14*d**3\/3 + 43. Let b(h) be the first derivative of -2*h**3\/3 + 1654. Give b(y(c)).\nAnswer: -392*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y - 2773 = -2293 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 22 + 3*c - 3*c - c - 6. Let q be y(11). Suppose 0 = 2*m - 3*a - 23, 0 = -3*m + m - 5*a + 63. Solve m = q*j - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 17635596.\nAnswer: 88177980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-224)\/(-6) - 14*7\/294. What is the derivative of -u + 25*g - 229*g - 50 wrt g?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*q**2 + 3 - 23*q**2 + 3*q**4 - 26*q**2 in the form p*q**4 + o*q + w*q**3 + n + m*q**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1376*n + 48. Let q(u) = -3*u - 15. What is -j(c) - 3*q(c)?\nAnswer: 1385*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*i - 27, -8*i + 3*i = 5*c - 85. Suppose 136 = -8*f + c*f. Solve 4*w = -b + 15, 5*w - f = w + b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12112391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -8166708 in descending order.\nAnswer: 2, -5, -8166708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 9 = 3*a. Suppose 5*z = 4*l + 20, 2*l + 0*l = -a*z + 34. Let c(d) = -7*d**3 - 5*d**2 + 8*d**3 - 8 - 2*d**2 - 6*d. Give c(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6215 (base 7) to base 12.\nAnswer: -1308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 55296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*u - 154 + 154)*(233*u + 6023 - 6023) + u**2 + u**2 - 4*u**2 to s*u + i*u**2 + d and give i.\nAnswer: 3726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145*t**3 + 242*t**2 - 2*t - 17080 wrt t?\nAnswer: -435*t**2 + 484*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259736.\nAnswer: 2, 32467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 + 117*p**2 + 429*p + 315 = 0 for p.\nAnswer: -35, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 + 3. Let b(f) = -7*f**2 - 5. Suppose -2*u - 9 = -3. Let t(r) = u*b(r) - 5*n(r). Let x(i) = 5*i. Calculate x(t(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 8 + 21 = t, 0*a + t = -6*a - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 2*i**4 + i + 180052*i**3 - 4*i**4 + 2033 - 180052*i**3 - 402 in the form j*i**3 + c*i**4 + g + h*i**2 + x*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by -80\nAnswer: 47\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8088, -16176, -24264, -32352?\nAnswer: -40440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6699 and 86732910?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -120. Let w = q + -32. Suppose 171 = 4*d - y, w = -y - 1. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1, 3\/5, 2\/27, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56902 or 56907?\nAnswer: 56902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4260 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 22*w + 149061 = 0. Suppose -w = 52*j - 59987. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 8, 7, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -120564*f**3 - 1013655*f**3 - 7*f**5 + 1140624 + 3415465*f**2 - 2133*f**4 + 0*f**5 + 15*f**5 - 9*f**5 - 3419736*f = 0?\nAnswer: -1068, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 230882835 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 - -46245?\nAnswer: 46214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 27724?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*k + 131813, 15*p - 5*k - 131795 = 13*p. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1090344 and 426.\nAnswer: 77414424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.43, 5184 in descending order.\nAnswer: 5184, 0.43, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1362, -2850, -4568, -6630, -9150, -12242, -16020, -20598?\n\"Answer: -19*q**3 - q**2 - 1352*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1 - (3 - 18). Let w = 324 - 150. Let f = w - 134. Calculate the greatest common factor of t and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 - a - 4. Let v(b) = b**2 - 1. Let s(x) = -d(x) + 4*v(x). Let w(i) = -8*i**2 - 4*i. Determine -4*s(q) - w(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 + 3*h**2 + 3*h**2 + 46*h - 3*h**2 + 46 + 105*h - 146*h + 2*h**2 + 3 - 3 + (2*h - 2*h - 2*h)*(2*h - 5*h + h) + 0 + 0 + h**2.\nAnswer: 14*h**2 + 5*h + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5040161 is divided by 401.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3024707 (base 8) to base 13.\nAnswer: 21ba96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**2 - 2\/3*y**3 - 36*y - 25 + 59\/24*y**4 + 63\/40*y**5. Let o(v) be the first derivative of q(v). Factor o(f).\nAnswer: (f + 1)*(7*f - 2)*(9*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22453418.3300179 + 22453414. Let b = u - -4.33. What is b rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.8 - 1.8. Let l = v - 9. What is the closest to -2 in -0.5, l, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - x**3 - 4*x**3)*(29*x + 92*x + 15*x).\nAnswer: -272*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/15348938 and -35\/8?\nAnswer: 61395752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -418 + 421. Find the third derivative of 133*u**r - 106*u**2 - 2*u + 2*u + 5*u**3 wrt u.\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (sqrt(68)*1)**2*5 + (sqrt(1088) + (sqrt(1088) + -1 + -4)**2 - (-3 + (sqrt(1088) + -1 - sqrt(1088))**2))).\nAnswer: -144*sqrt(17) + 2910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + 2. Suppose -n = -2*n + 4, 5*n = -l + d. Let w be (-9)\/l*8\/(-9). Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -2, -0.7 in ascending order.\nAnswer: -3, -2, -0.7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 39 = -3*c, 4*t = 0. Suppose 3149 = c*p - 296. Factor -p - 5*o + 265 - 20*o**2.\nAnswer: -5*o*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13445 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**4\/12 - 2*d**3\/3 + d**2 - 16*d. Calculate v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.281 - 82261755346\nAnswer: -82261755346.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 6*m**2 + 5*m - 1. Let i be t(5). Does 14 divide 3 + i - (-16 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40985378 to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-4 - -4) + 29. Suppose 28*g - z*g + 1056 = 0. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778.0721 months in decades?\nAnswer: 14.8172675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -569.025 + 0.025. Let k = p - -568.99999948. What is k rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, 124, 6.6973, 2\/7, 1\/2, 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79130 by -39565.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642310173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 175 + 124 = 0. Let n(p) = -p + 31. Calculate the remainder when 20 is divided by n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.58\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:55 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1239\/(-63)*375\/(-14750).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -921, -2, 0.02, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-102)*160\/(-24)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 1\/3 (b) 11.5 (c) -1062\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 11:50 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 12*c + c + 11*c + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 15030961?\nAnswer: -15030965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 17*f - 8. Let h(s) = 6*s - 3. Let u(x) = 11*h(x) - 4*j(x). Let o(l) = -13*l + 153. Let n be o(12). Determine u(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1450 divided by 5\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/9 + 930\/(-1350)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggkkgk. What is prob of picking 3 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Suppose n*a - 8 = 4. Is 3 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y + 10. Suppose -c - c + 68 = p, -y*p = -8. Suppose 0 = 4*z - 2*z - c. Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/24 - (-1)\/(-3). Suppose c*d - 11 = 1, -d = 3*z - 19. Solve 0 = 5*b + 10 - z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {s: 1, t: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 5*h - 8. Let z be v(-6). Let a(b) = b**3 + 2*b**2 + 6*b - 3. Let y be a(-3). Is ((-24)\/y)\/(z\/(-65)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (30\/(-6) - 6). Solve -h = z - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*j**3 - 2)*(-2 + 3*j + 7 - 4*j).\nAnswer: -2*j**4 + 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 1 - ((-1517 - -1476) + -1 + 120)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 4*x**2 + x + 4. Let d be v(-4). What is the third derivative of -w**2 - w**5 + d*w**5 + 4*w**5 + 5*w**2 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 - 30255*z**2 + 45934200*z - 501622000 = 0. What is z?\nAnswer: 11, 3020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -4, 1, -3, -649.\nAnswer: -649, -4, -3, 1, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 11*x - 9*x + 30*x + 13*x**3.\nAnswer: 13*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/20)\/((-1)\/(105\/114)). Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 9 + 14. Let c = 36 - f. Suppose -15*b + 1182 = -c*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -205502560 to the nearest one million.\nAnswer: -206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6386*o - 74318 + 74318)*(0*o - 3*o + 2*o)*(-1 - 1 + 0)*(3 + 5 - 6) to z*o + k + g*o**2 and give g.\nAnswer: 25544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -419, -635, -851, -1067, -1283?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 - 3 = 0. Suppose 4*c + 90 = 30. Let j(h) = -15 - 8 - h - 11*h + 11 - 3. Let r(t) = -t - 1. Determine c*r(n) + x*j(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2. Suppose 0 = -o - 2*o. Suppose -6 = -3*r - o. Let m(d) = 4*d**2 - d**2 + 0*d**r - d**2. Give m(i(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (1 + -1 + sqrt(2057) - ((sqrt(2057)*-2 + sqrt(2057) + sqrt(2057) - sqrt(2057)) + -5))**2).\nAnswer: 220*sqrt(17) + 8250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833)*-3)**2.\nAnswer: 29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 603788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154979 + 62379. What is i rounded to the nearest 1000?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 937*q - 937*q - 1 + 300*q**3.\nAnswer: 300*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1891 or 1883?\nAnswer: 1891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -11, 3, 8, -2 in decreasing order.\nAnswer: 8, 3, -2, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 24 = -5*v, -2*p + 4*v + 8 = -4*p. Suppose -7 = -5*l + 3. Suppose 20 = l*k - g, -7*g = -p*k - 3*g + 40. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*2*-2)\/sqrt(11))\/(sqrt(50)\/(sqrt(30)\/sqrt(3) - sqrt(10) - sqrt(10)) - sqrt(5) - sqrt(15)\/sqrt(12)) + 2.\nAnswer: 2 + 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 705 = -i, -289 - 434 = -i + 3*t. Suppose -3*l + 828 = -i. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5689390 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 14 - 8\/(-16)*-1) + (-178)\/108?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/9)*f)\/f*f*f)**(2\/45)\/(f\/(f\/f**3)*f)**(-3\/13) assuming f is positive.\nAnswer: f**(5224\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 423 = -845 + 422 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n**2 - 3*n**2 + 0*n**2)*(-67*n + 16*n - 100*n)*((-2 + 2 + 2)*(-n - n + 0*n) + n + 1 - 1) in the form a*n**2 + q + u*n**4 + o*n + k*n**3 and give u.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {b: 4, h: 3, z: 1, f: 9, c: 1}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -8. Let y = -4\/3 - g. Let m = -1931 - -1927. Which is the smallest value? (a) y (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3) + (-12 - 2) - (41 + -45)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - 13*d + 3. Let h = 32 + -23. What is the units digit of t(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 13*o + 8. Give q(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 27, 78, 159, 276, 435, 642, 903?\nAnswer: 1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -74*t - 38. Let a(d) = -d. Let v(w) = 4*a(w) + h(w). What is the first derivative of v(u) wrt u?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*s**2 - 90*h**2 + 4*h*s**2 - 20*s**2 wrt h?\nAnswer: 4*s**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -27*x - 64. Let t(b) = 2*b**2 - 2*b + 883. What is j(t(i))?\nAnswer: -54*i**2 + 54*i - 23905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 25*b**2 - 56*b + 22. Calculate the remainder when g(-27) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9718 * 0.0061.\nAnswer: 59.2798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(0 - 2 + 0)*(-29*g - 2*g - 2*g)*(9 + 31 + 9).\nAnswer: 6468*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10\/q*q)\/q**(-8)*q\/q**(1\/5)*q*q**(-4) assuming q is positive.\nAnswer: q**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldgdxgtl. Give prob of picking 1 t, 1 l, and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8003 divided by -4?\nAnswer: -8003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 48278482.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0192 + -117.0192. Let w = -117 - o. Let d be (60\/22)\/(-3) - -1. Which is the closest to d? (a) -1\/4 (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2345*v + 61683 - 61683.\nAnswer: -2345*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -51312 at least -51312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 565448 and 832?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 38*k + 220*k + 1 + 2*k**4 - 4*k as s*k**4 + i*k**3 + d*k**2 + t*k + v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-5 - (3 - 3)). Suppose -5*k = -o*r - r + 3, k - 6 = -2*r. Factor 4*z**r - 48*z**2 + 11*z + 5*z - 32*z + 12*z**4.\nAnswer: 4*z*(z - 2)*(z + 2)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 21*q**2 + 18*q + 2. Determine z(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128642, 128640, 128638, 128636?\nAnswer: 128634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/2*31\/((-6169)\/199)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 2. Let w(i) = -2*i + 22. Let o(k) = 10*s(k) + w(k). Let m(z) = z. Calculate -6*m(u) + o(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25924 or -956?\nAnswer: -956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625 = -p - 320*v + 315*v - 642, 2*p - 10 = v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 501224726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 0*o - 1 + 0*o - 4*o. Let a be x(-2). Let g(j) = 183*j**2 + 5*j - 2. Let f be g(a). What is f rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12130 - 132?\nAnswer: -12322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 25*g**2 + 75*g - 300. Let w(j) = -j**2 - j + 6. Determine n(u) + 50*w(u).\nAnswer: -25*u**2 + 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and -55047\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1443*c - 168771. Determine z(117).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*x - 58841 = 716*x + 37063 for x.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, 2268, -418?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -60, -65, -48, -3?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.515342kg to milligrams.\nAnswer: 8515342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -720 + 10953. List the prime factors of d.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-8 + (-3)\/8).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 202 and 12322?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/8, 0, -20\/27673?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o - 92. Let d be t(-15). Let n(z) = 2*z**3 - z**2 - 3*z - 2. Determine n(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.28007499 to 2 dps.\nAnswer: -8.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1297101762 to the power of 1\/2, to the nearest integer?\nAnswer: 36015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 215367 - 19*p + 27*p + 215367.\nAnswer: 2*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w\/w**6)\/w*w*w)))\/(w\/(w*w\/((w\/(w**(2\/21)\/w))\/w))*w*w)*(w\/w**(-1\/4))**20 assuming w is positive.\nAnswer: w**(401\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k = 2004 - 2019 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -94*h + 73*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/75 and 46\/375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/246071 or 1?\nAnswer: 1\/246071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 825?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122296*d**3 + 244541*d**3 - 122242*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 16*o - 18*o - 11, -1 = o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykkk when four letters picked without replacement from yykkykyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60370156.\nAnswer: 2, 7, 11, 28001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1806)\/387 - (-5 - 2).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2058979 + 27?\nAnswer: -2058952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 17 = o + 2*o, -2*o = f - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -52*b**2 - 7*b - 17. Suppose 6 = 3*s + 45. Let l be o(s). Let f = 52153\/6 + l. Calculate the common denominator of f and 17\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x, -5*o - 1 = 2*x + 19. What is the tens digit of -4 - 1*(-10 + o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 4*j - 4. Suppose -5*u + 3 = 8. Let m(c) = -c + 1. Calculate u*o(k) - 4*m(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**2 + 2 - 2 + 15*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 4*j**2 - 13*j - 1. Give f(-5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h**2 + 4*h**2 - 6*h**2)*(-h - 4*h + 0*h) + h**3 + 0*h + 0*h)*(h**2 - h**2 - h**2).\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17243953 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152288\/85 - 10554\/17. Let p = 1177 - j. Let r = p + -103\/15. Which is the fourth biggest value? (a) r (b) -0.4 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 325004\nAnswer: 325003.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1391*b - 2 - 2*b**3 - 2*b**4 + b**4 + 1329*b to the form w*b**2 + c*b + a*b**3 + j + n*b**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 4401 - 4457 = 0. Let i(v) = v**3 + 8*v**2 + 2*v - 16. Calculate i(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 932, 1402, 1874, 2348, 2824, 3302?\nAnswer: 3782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 18 = -5*l. Is l\/(-4)*(-688)\/24 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/160 and -59\/240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14428 = x - 5*r + 4431, 4 = 4*r. What are the prime factors of x?\nAnswer: 2, 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - -45) + (-2 - -1) + 22 + -14 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 2 + 1 - 6*a**2 + 5*a**2.\nAnswer: -a**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 435 + -427.9845. Let i = -7 + p. Round i to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 3, z: 10, n: 5}. What is prob of picking 1 n, 1 s, and 1 a?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 + -31 + 62 + 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 - -1. Let r = b - 0.1. Let c = -0.03 + -0.07. Which is bigger: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 8*y**2 - 29*y**3 + 8*y**2.\nAnswer: -29*y**3 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 4*x**5\/5 + 2*x + 2. What is the derivative of k(f) wrt f?\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8683*y**2 + 8699*y**2 + 350*y**3 - 347*y**3.\nAnswer: 3*y**3 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -49*i**3 + 8*i**2 + 16. Let f(s) = 16*s**3 - 3*s**2 - 5. Let k(n) = -8*f(n) - 3*j(n). What is the derivative of k(w) wrt w?\nAnswer: 57*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2387 = -765*t + 772*t. Let n = 1 - t. Calculate the remainder when n is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13352643 + 2?\nAnswer: 13352645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -8923?\nAnswer: -8922.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -3600061.\nAnswer: -1800030.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/31125 and 57\/124525?\nAnswer: 155033625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 68 = 20. What is the second derivative of 13*c**2 - 2*c**2 + 19*c**2 + k*c + 3*c wrt c?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 1\/3, 3, -3, -1 in increasing order.\nAnswer: -21, -3, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 1. Let w = -2 - s. What is the units digit of 6\/(-4) - (-23)\/w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/4 - 1855*r**4\/4 + 873883*r**3\/4 - 12480909*r**2\/4 - 24670260*r - 39992400 = 0 for r.\nAnswer: -3, 21, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -11. Let l be x\/(-77) + (-76)\/(-55). Let n = -0.026 - -4.026. What is the closest to 4 in l, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) -19\/7 (c) 5\/9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*h - 10, h = 5*b - 304. Suppose 2135 = -b*m + 67*m. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114270 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60.32 - 60.42. Which is smaller: -499 or s?\nAnswer: -499","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 305*m - 1826. Let r be k(6). Let h = 1.7 + -1.5. Which is the closest to r? (a) -3 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1147 - -490. Let a = p + 660.13. What is a rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5522 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 - -100. Let u(h) = -40*h**2 - 2*h - 27. Let g be u(v). Is g\/(-12) - (-24)\/32 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51039552 - -3?\nAnswer: -51039549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 600482740*d. Let w(k) = 2*k. Give c(w(j)).\nAnswer: 1200965480*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/18*(-1)\/5. What is the smallest value in d, -1\/2, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2 + 3 + 2*w**2 - 5*w**2 - 4 - 2*w**2. Let x be 1*(-2 - -4)\/(-1). Give j(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006234092 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -168\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16*655\/((-129690)\/(-7128))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/12 + (4 - 1\/2). Let i(r) = 2*r**2 - 3 - 3 - 1 + 2*r. Does 24 divide i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 15*z**5 - 639237*z**4 + 6809695773*z**3 + 14986470537*z**2 - 21795527088*z = 0?\nAnswer: -16\/5, 0, 1, 21309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2299941 and 15282?\nAnswer: 4599882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14562 or -2532?\nAnswer: -14562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and 1357.6.\nAnswer: 1357.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1113231332 (base 4) to base 3.\nAnswer: -200020212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67.69 - -67.49. Let c = -4 + 6. What is the second biggest value in c, 3, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000061927 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75565?\nAnswer: 5, 7, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000636065475 rounded to six decimal places?\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/20 + u**4\/24 - u**3\/6 - 2*u**2. Let z be i(1). Suppose 3*f = 2*t + 32, z*f + 0*t = -3*t + 57. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + (sqrt(75) - (sqrt(75) - (sqrt(75) + 1)*1)))**2 + (sqrt(75) - (sqrt(75) - (sqrt(75) + 0)*-6))**2.\nAnswer: 20*sqrt(3) + 3001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-224)\/(-80)*1*-10. Let a = 36 + l. Solve 5*f - 3*f - a = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 9. Let h = n - -7. Let r = -0.045 - -2.045. Put h, 3, r in increasing order.\nAnswer: h, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 11*a**4 - 2)*(1685 - 2989 + 2307).\nAnswer: -11033*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090560986?\nAnswer: 2, 545280493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -913719\nAnswer: 4\/913719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 0*r + r + (-24 - 30 + 16)*(-3*r - 2 + 2).\nAnswer: 117*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (-3)\/3 + -2. Let g(b) = 3 + 4*b - 3 - 2 - j*b. Determine g(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 24*i**2 + 4*i - 1463. Let l be g(26). Sort l, -3, 5, 4, 0 in descending order.\nAnswer: 5, 4, 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/10)\/(-3)*(-11)\/22\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*n + 12. Let r be 2\/n - (-561)\/(-77). Let h(i) be the second derivative of i**5\/20 + 7*i**4\/12 - i**3\/6 - i**2 - 7*i. Determine h(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 1:15 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 294766229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 281499312 and 4?\nAnswer: 281499312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -584417 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.6437 rounded to the nearest integer?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/9 + 4\/3. Let o be (j + -2)\/1 + 99. Suppose -220 = 148*t - 168*t. What is the greatest common factor of t and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 523800.6ng?\nAnswer: 523.8006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.3. Suppose 28 = -6*r - 2. Put w, -2\/11, r in descending order.\nAnswer: w, -2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**3\/6 - 6*r**2 + 12*r + 12. Calculate f(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 30.77. Let y = 0.284 + p. What is y rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1137*n**3*x**3 - 23*n**3 + 5*n**2*x**3 + 2*n**2 + 1738*n wrt n?\nAnswer: 6822*x**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 666 + -475. Let q = x - 4392\/23. Let u be (-6 + 6)\/(3 - 1). Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -3 - -6) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902333.\nAnswer: 902333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -218 + 199. What is the lowest common multiple of 20 and 1*4 + (-19 - n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23173 or 0?\nAnswer: 23173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 601, 965, 1105, 1027, 737, 241, -455, -1345?\n\"Answer: i**3 - 118*i**2 + 711*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 4*i**2 + 353*i - 715*i + 369*i to n*i + a + t*i**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/20 + 77*z**4\/12 - z**3\/6 + 161*z**2\/2 + 192*z. Find the second derivative of d(u) wrt u.\nAnswer: 6*u + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*v + 73*v + 14*v - 4755240 = 0. What are the prime factors of v?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5356*c - 5843 + 84027 + 164672 = -19588 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1775 is divided by 427?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(847) - (sqrt(847) + 2 + sqrt(847))*6) + (sqrt(847) - 3*sqrt(847)) + -5)**2*-4.\nAnswer: 38896*sqrt(7) + 1147456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, q: 3}. What is prob of sequence llll?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-3\/7))\/a)**(18\/13))**(-46)*((a*a*a**(-5))\/a**(-2\/9))\/(a**7\/a**2) assuming a is positive.\nAnswer: a**(15986\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 903.\nAnswer: 8127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22.37, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 11*w - 7. Let f be (-62)\/5 - 2\/(-5). Let d = f - -4. Is 4 a factor of a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 808*n**2 + 627*n + 18. Let x(f) = 810*f**2 + 627*f + 18. Let g(d) = -2*x(d) + 3*z(d). Factor g(l).\nAnswer: 3*(4*l + 3)*(67*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19 - 319*o + 21*o**2 + 367*o + 8.\nAnswer: 3*(o + 1)*(7*o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28 - 0 - 8) + -5 - -29) + 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5*l - 7)*(4*l + l - 3*l) + (-4*l - 4 + 4)*(3*l - 2*l - 3*l) + 2*l**2 + l**2 - 7*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5*(sqrt(175) - (1 + sqrt(175))) + -4)**2 + 0)*6.\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.130243 days?\nAnswer: 97652995200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -5. Let f = -28 + 30. Suppose 3*u + 4*a - 12 = 0, 5*u - f*u - 9 = -3*a. Solve d = -u*p - 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1810883 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*t = -76, -n + 11 + 7 = t. Is n at most 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f7 + 5?\nAnswer: 2fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 15*r + 489. Let a be z(-33). Let i(f) = 5*f + 3. Let v(y) = -21*y - 11. Determine a*v(n) - 22*i(n).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -15. Suppose -h + 30 = 4*r + 6, 3*r = 2*h + 7. Find the third derivative of -3*j**h + 14*j**4 + 16*j**2 - 7*j**p wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -669, 389, 1447, 2505?\n\"Answer: 1058*u - 1727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32110177*s + 1110229 wrt s.\nAnswer: -32110177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t\/t**1)*t)*t**(-10))**(-2\/89)\/((t**(-1\/4))**(-8\/3)*t\/t**(-4)*t**(-6)) assuming t is positive.\nAnswer: t**(149\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0 + 5*k**3 - 27*k**3 + 1 + k**3. Suppose 5*m - 226 = -3*n, -1 = 4*m + 15. What is the remainder when n is divided by t(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 0.03522739.\nAnswer: -0.16477261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 41, 93, 197, 371?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.5 - 0.5. Suppose -3*g + 5*x + 29 = -5, 16 = 4*x. Let t be g\/35 + (-24)\/(-84). Sort r, 2\/13, t in decreasing order.\nAnswer: r, t, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235 + 29*j**3 - 235 - 398*j**3.\nAnswer: -369*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5217*n**3 + 17*n**2 + 5221*n**3 + 47 + 70 wrt n?\nAnswer: 12*n**2 + 34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15440 by -3088.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31924 = 5*t + 2*i, -2*i + i = -2. What are the prime factors of t?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -19. Suppose -5*c + 27 = 2*y, 0 = -c - 2*y - 2 + 1. Solve 2*j + c = u, -3*u - u + 18 = l*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -183?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 2. Is 6 a factor of (-268)\/(-22) + (-4)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1065, 1083, 1101, 1119, 1137, 1155?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 689 - 686.23. Round j to 1 decimal place.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*t + 363*t + 2132 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + 3. Find the third derivative of -46 - 20*q**3 + h*q**2 + 24 + 22 wrt q.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t**4 - 7*t + t**3 + t**2 - t + 5*t + t**4 as b + c*t**2 + s*t**4 + p*t**3 + v*t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*x + 55 = 0, -58933*i + 117854*i + 3*x = 58927*i - 135 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v + 1075*v = 4160*v + 332450 for v.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**9\/168 - l**5\/6 - l**2 + 8. Let g(k) be the second derivative of b(k). Find the third derivative of g(r) wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3\/5 + 4908*s**2\/5 - 373677*s\/5 + 368772\/5 = 0.\nAnswer: 1, 79, 1556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8851778 and 82?\nAnswer: 362922898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292 + 296. Suppose -4*x + 2*v + 3164 = 0, -n*v - 889 = -x - 105. Is x a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w = -37368 - 23090. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.235.\nAnswer: -0.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -21 + 21 + 88*o**2. Let d(p) = -2*p**2. What is q(d(w))?\nAnswer: 352*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 649, 648, 647, 646, 645?\n\"Answer: -y + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 8*(7\/(-2) + 4). Which is smaller: 31\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(1008\/(-5))*-4*1\/1?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 12 = -l + m, -3*l + 4*m = 3. Let j be (-72)\/44*2\/3. Let y = -49\/55 - j. Which is the closest to -1? (a) l (b) -1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001455963 to 7 dps.\nAnswer: 0.0001456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h = -w + 4, w - 4*h = 6. Let c(a) be the third derivative of 1\/12*a**4 + 4\/3*a**3 - 3*a**w + 0 + 0*a. Find the first derivative of c(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3600)\/(-210) + (-11 + 2 - 5))\/((-9)\/(-7))?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.262290333 rounded to five decimal places?\nAnswer: 0.26229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*x**4 - 75*b*x**3 + 5*b*x + 3*b - x**4 - 19*x wrt x?\nAnswer: -12*b*x**2 - 450*b*x - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*h - 804, 3*r + 7*h - 2*h + 627 = 0. Let a be ((-1)\/(-2))\/((-3)\/612). Let o = a - r. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 445, 30, -1 in decreasing order.\nAnswer: 445, 30, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -864432*o**4\/17 - 1732826*o**3\/17 + 2585376*o**2\/17 + 11894*o\/17 - 12\/17 = 0.\nAnswer: -3, -1\/184, 2\/2349, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 221211 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11964 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 71.6844.\nAnswer: -286.7376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -34301269*o. Let i(l) = -l**2. Give i(c(y)).\nAnswer: -1176577055010361*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 1, p: 4, w: 2}. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 1, -3*f - 3*d - 3 = -4*f. Suppose f = -9*z + 6*z + 1119. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 366*f.\nAnswer: 2*f*(f - 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 586255?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 7*j = -7, 692*m - 8*j + 11*j = 694*m - 23 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 5 (b) 0.2 (c) -3431\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 324871 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 31 = -9. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2910000 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -19*i**3 + 2*i**2 - i - 2. Let z be c(-1). Calculate the greatest common factor of 60 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2555 (c) -14 (d) -0.3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 896028233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 304\/260 + (-2)\/5. Suppose 0 = -5*w - 5, 128 = -2*u + 2*w - 176. Let c = u - -154. Which is bigger: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0 - 1 - 11*r**2 + 1. Let i(y) = 2*y. Determine i(z(p)).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = -10*a - 7*u, a + 118 = 4*a + 4*u + 215 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 + -172. Is (p - (-366)\/(-12))*(1 + -35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6042 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22073 (base 8) to base 4\nAnswer: 2100323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 23*t - 161. Let n(b) = 4*b**2 - 288*b + 291. Let z be n(71). Determine y(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-30))\/((-3)\/(-1)*2\/5)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 622346 divided by -311173\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -19.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2. Let n(k) = 264*k**2 - 295. Let r(j) = n(j) + 4*p(j). Differentiate r(g) with respect to g.\nAnswer: 544*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -7*j**4\/6 - 2*j**3\/3 - j**2 - 33*j. Find the second derivative of f(t) wrt t.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7025414.445 to the nearest one hundred thousand.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*d - 10, -2*f - 78 - 100 = 253*d + 577 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -2*m + 276. Let c = -27 - -41. What is the remainder when (-4)\/c + (-578)\/(-14) is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*((s*s*s**2)\/s*s)\/s)))**(-2\/5)*(s\/(s**(2\/5)*s))\/(s\/s**(2\/17)) assuming s is positive.\nAnswer: s**(-49\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1649826*h**2 - 4436*h + 1353*h + 1649828*h**2 + (4 - 2*h - 4)*(-2 - h + 2) + 5*h + h**2 - 5*h to n*h + g + d*h**2 and give n.\nAnswer: -3083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -16.35. Let a = -0.13 - -0.28. Let z = a - v. Put z, 0.7, 5\/3 in decreasing order.\nAnswer: 5\/3, 0.7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1)\/(130\/(-845)*13)*46\/(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9175 divided by 1835?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1067 = -5*n, -2*f + 0*f = 2*n - 738. List the prime factors of f.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -206?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/174 and 79\/552?\nAnswer: 16008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*a + f - 22, 9*a + 116 = -2*f. Let i(k) = -k**3 - 13*k**2 + 12*k - 34. Calculate i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -549*b. Let v(s) = 2*s**2. Determine v(n(l)).\nAnswer: 602802*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1706437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13221 - -23113. Suppose c - 3*o = -174 + 5120, -2*c - 3*o = -g. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 951 = 5*g - 1179. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6)*(-4)\/(-1). Let l be f\/(-5)*1*30. Let t(k) = -k + 15. Let d be t(l). Let w(y) = y. What is w(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2 + 8*c + 1. Let a(f) = -2*f**2 + 8*f + 1. Determine 5*a(i) - 4*w(i).\nAnswer: 6*i**2 + 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, e: 1, y: 11}. What is prob of sequence ybbe?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 36. Suppose -4*p + x*l = 20, -10 = -3*p - 3*l - 49. Let w = -2 - 6. Is p greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -2 + 14 - -13 - (-47 - (9 - 18)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/(-5)*(-5 + 0). Suppose 4185 = 242*g + 797. Calculate the highest common divisor of f and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2991.04 - 46.96. Which is smaller: -2\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 82*i**3 - 350*i**2 - 446*i - 180.\nAnswer: 2*(i - 45)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29\/7, 45\/16, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - -11) + (-5 - -1 - (-38 - -43))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 57364 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2736) + 1 + sqrt(1539) + 0 - (2*sqrt(2052))\/sqrt(3)).\nAnswer: 5 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 37 = -11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*s + 3619 - 1301 = -30*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(704)*1*4 - (sqrt(704) + 1 + sqrt(704))*-5)*3)**2 + 0.\nAnswer: 40320*sqrt(11) + 4968324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.075 (c) -20 (d) 0 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2867789.923 + 433.\nAnswer: 2868222.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8559999 and 101556.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 137921 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*l = 220 + 484 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -8. Suppose d*t = 12*t. Suppose t = -3*r - f + 4*f + 3, -12 = -4*f. Solve 4*g = r*s - 5*s - 4, -s + 5*g + 14 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 7*x - 25. Let n be f(-9). Suppose u - l - 4*l - 21 = 0, -9 = u + l. Calculate the remainder when 62 is divided by 21 - (n - u - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(11\/3)*m*m*m\/(m**(8\/7)*m))\/(m*m\/(m\/((m**(-3\/8)*m)\/m)*m*m)*m**(5\/6)))**(-6\/5) assuming m is positive.\nAnswer: m**(-1019\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 12*x**5\/5 + 16*x**4 - 236*x**3\/3 + 80*x**2 - 1135. Factor r(n).\nAnswer: 4*n*(n - 1)*(n + 8)*(3*n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20121562.95 rounded to the nearest one thousand?\nAnswer: -20122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-588 + 257*a + 588)*((-a + 5*a - 3*a)*(-1 + 4 - 1) - 2*a + 3*a + 3 - 2*a).\nAnswer: 257*a**2 + 771*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 50\/14)*84. Calculate the greatest common factor of 24 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 16. Let p be (-3*1)\/(6\/h). Solve t = p*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 82 - 35 = -2*b, -5*b - 5*d + 295 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1396234*o - 13962356. Determine t(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*h - 846904 = 168*h - 88*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -408 + -5?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f + 23. Let w(h) = -10*h + 34. Let s(p) = -7*r(p) + 5*w(p). Calculate s(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5700 divided by -95\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*b - 1240. Suppose h + r = 78, 2*h + b = 6*h + 5*r. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 25. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 + -100. Let y(i) = -j*i**2 + 32*i**2 - 19*i**2. Let p(d) = 12*d - 3. Determine p(y(o)).\nAnswer: 36*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -83572 from -180157.\nAnswer: -96585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from gzzqzgddzggzgqgdg?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*h - 192*h**2 + 16*h**4 + 192*h**2 wrt h?\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let f be (-4 + (-24)\/(-5))*(-6 + 1). Let a be (2\/3)\/(f\/24). What is the nearest to a in d, 0.5, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -393.4 + 393.3. What is the fifth smallest value in 1\/2, -0.2, b, -0.01, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 290.7 - 318. Let y = r + 28.59. Sort -1\/2, y, 0.3 in ascending order.\nAnswer: -1\/2, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-63)*((-8)\/2 - -2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m + 27*m + 84 = 0. Let q = -56 + 58. Which is the smallest value? (a) m (b) 7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -433734072*g**2*i*x**2 + 23954*g**2*x + 5910*i wrt x.\nAnswer: -867468144*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 - 3*y**5 + y**5 - y**5 - 2*y**4 + 2*y**4 + (3*y**5 - 4*y**5 + 3*y**5)*(-3 + 1 + 4) + 258*y**5 - 190*y**5 - 368*y**5.\nAnswer: -298*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23608751.9000027 - 23608772.9. Let p = -43 - -22. Let r = p - y. What is r rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35851 - 35851.336. Which is the smallest value? (a) m (b) 2\/9 (c) -5 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2486682 and 26901378?\nAnswer: 295915158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34*(-666)\/(-1258))\/((-2)\/(-2))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, 192, 762, 1482, 2358, 3396, 4602?\nAnswer: 5982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 - -2.3. Put c, 2\/7, -3 in descending order.\nAnswer: c, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:31 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.073298467.\nAnswer: 0.0366492335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/8)\/m)\/((m*m**(1\/6))\/m*m))\/(m\/(m*m**(-6))*((m*(m**(-4\/9)*m)\/m*m)\/m*m)\/m) assuming m is positive.\nAnswer: m**(-601\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 36. Let u = i + -7. Solve 0 = -u*b - b - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*560\/(-1920)*(-6)\/(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1530289 and -8.\nAnswer: -7.8469711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.28 + -10.28. Put u, 0, 0.4, -5 in ascending order.\nAnswer: u, -5, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3491 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, 543, 1110?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 199962.14 to the nearest one hundred.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttgtgtt. Give prob of sequence tgt.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 14 = 3*c, -4*c - 57 + 44 = -q. Let u be ((-17)\/(476\/(-42)))\/(c\/(-8)). Solve 4*t = u*w + 4, 2*t + t - w = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.29961 + 8.3. What is z rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0*j - 1\/1380*j**6 - 38*j**2 - 25\/276*j**4 + 0 - 1\/69*j**5 + 0*j**3. Factor u(v).\nAnswer: -2*v*(v + 5)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13678*n + 10373 wrt n?\nAnswer: 13678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41076?\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(875\/(-20)))\/(2\/5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -37 - (89 - 49) - (-7 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**3 - 6564*x**2 + 5053*x?\nAnswer: 6*x - 13128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and 116 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*w - 38 + 11, -2*w = -2*i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2936019?\nAnswer: 3, 17, 23, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(-2*g**3 + 0*g**3 + g**3)*(4508 + 978*g - 2916*g + 969*g + 972*g).\nAnswer: -6*g**4 - 9016*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 + -3.5. Let q = 0.4 - 0.3. What is the nearest to q in h, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6768168?\nAnswer: 2, 3, 11, 31, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 4. Let w be (p - -7)*(-27)\/6. Let z be w\/(-5) - 6\/15. Solve z*n + 3 = -17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 6*k - 21. Suppose 9 = -k*f + 5*f. Let m(t) = -7*t - 9. Is 6 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. What is the tens digit of ((-320)\/4)\/(-4)*h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/((-6)\/27). Solve -2*v - 19 = 5*q, -4*q - f*v + 3 = 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 (base 11) to base 16\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Let c be f\/(5 - 2 - 1). Solve x + 3 + 0 = c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 - -79. Suppose 0 = -j, -h = -0*n - 3*n + 3*j. Suppose n*z = 4*x + 2*z - 483, 381 = 3*x + 4*z. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7390 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 104*d**3 - 100*d**3 + 2094*d**2 - 2094*d**2 - 31*d**4 to the form x*d + g*d**3 + s*d**2 + h + n*d**4 and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*3*15\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - 1)\/(39\/12 + -4). Suppose -3 = b + 2*j - 11, 5*b + 2*j = d. What is the first derivative of 2*p**2 + 13*p**4 + 9 - b*p**2 wrt p?\nAnswer: 52*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16250760 by 812538.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 248 = -2*n, -s + 5*n - 55 = -2*s. Let w = -17 + 27. Calculate the highest common factor of w and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Suppose 9 = u - 2*w, -4*u + 2 = 3*w - 1. Let j be (7 + -2 + 0)*2. Solve c*k - j = -u*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y = 89*y + 72. Sort -6, -5, -2, y.\nAnswer: -6, -5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Is (-3)\/3*(i - 1060) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -89*y - 717. Determine w(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -0.2. Let x = -1.13 - -0.13. Let l = -0.96 - x. What is the second biggest value in -4, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a01a + 1494?\nAnswer: -28636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*q - 23*q + 10*q)*(-6 + 12 + 4)*(-4 - 4 + 3).\nAnswer: 1350*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.701 + 209.701. Let x = v + -212. Which is the nearest to -0.1? (a) 2\/3 (b) -1\/18 (c) x (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.080499 and -62.\nAnswer: 4.990938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 1 - (195 - 212)) + (0 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-24))\/(2\/(-12)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mptm when four letters picked without replacement from tpwpmptppmtptitipwpp.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107780 is divided by 26942.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*r + 2*r. Let j(h) = 10*h - 5. What is the remainder when j(r) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c - 17?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 28*u. Let r(o) = 3*o**2. Determine r(p(g)).\nAnswer: 2352*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 81.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -5*t - 0*d, -2*d = -t + 5. Suppose f = -5*w + 9, -4*w + w - 17 = -5*f. What is the highest common factor of t and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70397995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 4*g**7\/105 - 17*g**3\/6 - 6*g**2. What is the first derivative of b(r) wrt r?\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 37*p**2 + 2*p - 80. Determine q(37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9946 minus 5?\nAnswer: -9951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 432*v**3 - v**2 - 12*v + 14. Give j(1).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 2178 = -3*z. Let c = -213 - z. What is the remainder when 113 is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c**3 - 48*c**2 - 2548*c - 15271. Calculate t(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 3838 and 3814 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10011000100010110110?\nAnswer: -10011000100010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -858, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183571 is divided by 1199?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 12*g - 40. What is f(7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 0*w + w + 3)*(-1236*w - 2*w**2 + 63 + 35 - 100) + (5*w - 2*w - 5*w)*(-2*w**2 + 0*w + 0*w) in the form r*w + z + l*w**3 + a*w**2 and give a.\nAnswer: -1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/2 - (-7 + 315\/(-18)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-24))\/(153\/204)*2\/54\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 10) in base 5?\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-9 + (-5 - -11) + 6) - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8 + 4.1. Which is the closest to h? (a) 4 (b) -4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.046*3312\nAnswer: -152.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10421.\nAnswer: 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1438*w**2 + 614033*w - 2992. Determine i(427).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - 21*n + 60. Let q(c) = -11*c**2 + 40*c - 124. Let v(x) = -6*q(x) - 13*r(x). Give v(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 16*g - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*m = -2*g + 23, -3*g - 2*m = 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24 + -2)*(-3)\/(-6). Let v = -8 - o. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 0. Suppose 5*w - 19 = -s, -5*s - 5 + 28 = w. Solve -n - 4*i - 2 = -4*n, s*n - h = -2*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 14. What is the remainder when 41 is divided by w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1067 - 1031.2. Which is the smallest value? (a) -4 (b) 3 (c) 5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*q - 538*q + 271*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/2 - 5967*h + 1114856 = 0.\nAnswer: -12118, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f291 + -8a?\nAnswer: -f31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trp when three letters picked without replacement from rnrnttnntp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 40 = 5*x, 5*x + 2 + 28 = 5*l. Let w(g) = 2*g**3 - 15*g**2 + g + 11. Is w(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 42*q + 25. Let x(c) = -c**2 + 20*c - 12. Let z(j) = -2*s(j) - 5*x(j). What is z(16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14431 - 721519\/50. Let m = z + -1\/50. Put m, 1\/8, 0.2 in decreasing order.\nAnswer: m, 0.2, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135312*h**2*j - 8*j + 14479 with respect to h.\nAnswer: -270624*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (442\/52)\/(2\/12). Let s = m - 47. Let t = 23 + -13. What is the remainder when t is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 1118.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/5 - ((4 - 3) + -7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 37 (c) -0.23 (d) -14 (e) -0.5 (f) -38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1110322?\nAnswer: -1110313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 3:23 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -6. Let q = 203 - 208. Which is the smallest value? (a) 3 (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 3*z**2 + 7*z + 5. Let f be b(-4). Let s(w) = -80 + 10*w + 90 - w**2 - 10*w - 5*w. Determine s(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 + 4 - 3 - 1 + 1 + (-2 + 3 - 2)*(-3 + 4 + 1))*(99 + 83*p - 99).\nAnswer: 415*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2193 - 1563. List the prime factors of k.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7791841861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -30. Suppose p = 3*m - m. Suppose -5*w + m = -11. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/4*(-4 - 0). Suppose 5*v - 6*v = -o. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g**3 - 21*g**2 + 21*g**2)*(-g + 3*g - g) + (-g**2 + 2 - 2)*(1 + 0 + 2 - 2*g**2 - 2*g).\nAnswer: 17*g**4 + 2*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(6\/11)\/k)\/k*k\/k**9)\/(((k**(2\/7)\/k)\/k)\/k*k**2*k) assuming k is positive.\nAnswer: k**(-750\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 77 + 40)*(m - m + m).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**3 - 69*c**2 + 207*c. Calculate r(8).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**7\/56 - p**6\/24 - p**3 - 24. Let a(x) be the third derivative of m(x). What is the third derivative of a(k) wrt k?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 + -15?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-37)\/(-7))\/(-1) + 2\/7. Let s(b) = -2*b**3 - 5*b**2 + 9*b - 8. Let r be s(g). Suppose 13*y - 12*y = r. Calculate the highest common factor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31931.25 milligrams to micrograms.\nAnswer: 31931250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -49\/3. Let x be (-1)\/2*(-5)\/10. What is the second biggest value in o, 4, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130234252 (base 7) to base 13.\nAnswer: -193a9a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 - 5748256*s\/5 - 22992864.\nAnswer: -2*(s + 20)*(s + 2874108)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1937492.897598 - -1937489. Let q = 3.6976 + a. Let p = -0.2 - q. Round p to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 6*l - 5*l + 4)*(-l - 3*l + 0*l).\nAnswer: -8*l**2 - 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58.5 and 85.\nAnswer: 4972.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -39438*p + 6*p**3 + 39438*p + 3*p**2 as n*p + v + b*p**3 + c*p**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-4*y**3 + 4*y**2 - 4*y**2).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 - s - 1. Let z(m) = 32*m**2 - 182*m + 12. Give -10*j(p) - z(p).\nAnswer: -2*p**2 + 192*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69689545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 61, 97, 149, 223, 325, 461, 637?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 1158?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -6*s - 25. Let m(t) = -t**2 + 6*t + 3 + t + s*t - 2*t - 8*t. Give m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1261, -6166, -19483, -45418, -88177, -151966, -240991?\nAnswer: -359458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - -4.1. Which is the closest to -2? (a) 0.1 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 11*k - 1. Calculate s(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 38 = -2*j, 0 = -2*j - 0*j + 3*q - 30. Let z = j - -15. Let g(d) = 6*d**2 + 4*d**3 - 5 - 11*d**2 - 3*d**3 + d - 8*d + 3. Determine g(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 3, h: 4}. Give prob of sequence dss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by -2518.\nAnswer: -152\/1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.54435 rounded to 1 decimal place?\nAnswer: 636.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 1070*v + 150 + 66 = -1066*v, -3*w + 2*v = 166 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/5 - 24*r + 20672\/5 = 0. Calculate r.\nAnswer: -136, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -203, -678, -1463, -2558?\n\"Answer: -155*d**2 - 10*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 174623 + -16?\nAnswer: 174606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 = -13*k - 562. Solve 1 = -2*s - k*v + 22, -4*v + 24 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 21 - 32 + 121 - 113*y - 33 - 5*y**2 to s*y**2 + c + w*y and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230598 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/3 + 76*y\/3 + 120.\nAnswer: 4*(y + 9)*(y + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 5*i**2 - 3*i**2 + (-2 + 2 - i)*(3*i - i - 3*i) + 9*i + 18*i - 10*i + 1 - i**2.\nAnswer: i**2 + 17*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -237, -247, -261?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 10, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 108 = -w + 116, -2*q = -3*w + 652. Suppose 3*r - w - 732 = 0. Suppose 0 = 4*g + r - 2116. What is g rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2. Let x(f) = -43*f - 44. Determine x(m(p)).\nAnswer: 43*p**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*o - 109*o - 239*o + 500202. What is the lowest common multiple of 63 and o?\nAnswer: 11151","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1303 - -1306.9. Which is the fourth smallest value? (a) -1\/6 (b) x (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.7 - -4. Suppose 0 = 5*p + 3*x + 446, -x + 6*x + 98 = -p. Let f = 86 + p. Which is the closest to f? (a) z (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Let l = -0.088 + 0.088. Sort l, g, -2\/17 in descending order.\nAnswer: g, l, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iho when three letters picked without replacement from llsohsslllmsmsiml.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-18)*10 - 34\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 6*n - 5. Give r(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*u = 13, k + 3*u = 4*k + 3. Let g be (-1 - k\/3) + 4. Suppose -a = -g*a + 1657. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 355778915 or 355778920?\nAnswer: 355778920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 10, s: 4}. Give prob of sequence uu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4601624.\nAnswer: 2, 575203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z - z + (-4 + 4 - 2*z)*(3 - 7 + 3) + 1 + 5 - 2*z - 8)*(-5 + 1 + 1).\nAnswer: 18*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rowo when four letters picked without replacement from nksorrow?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3996)\/1110*((-5)\/(-3) - 2)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -1\/196, 79, -2 in decreasing order.\nAnswer: 79, -1\/196, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 13) to base 2.\nAnswer: 11010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 3 - 3 - 1 + 1 + r + (-4*r + 0*r + 3*r)*(2 + 4 - 4) - 7*r + 3*r - 1 + 3*r to t + q*r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -8 + ((4 - 9) + -7 - -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5113081235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 17199888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -168, -5, 21, 12\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 36 = 2*r. Suppose -2*a - a - 4*t = -20, 3*t + r = 2*a. What is the remainder when 35 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d**2. Let q(h) = 50*h**2. What is q(n(g))?\nAnswer: 6050*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10358840 and 1035884?\nAnswer: 10358840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {u: 4, k: 4, q: 7}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 11333?\nAnswer: -11327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (220\/(-6))\/((18 - 34)\/7104)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Let y = 1194365\/4 - 298590. What is the third smallest value in c, 0.06, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -90*l**5 - 15445*l**4 + 6070*l**3 + 8605*l**2 + 860*l = 0.\nAnswer: -172, -1\/2, -1\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**3 - 50*h**2 = 0. Calculate h.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1819 = 13*k + 2341. Let o = k + 652. What are the prime factors of o?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3)\/c*c)**(13\/2)*(((c**(-9)\/c)\/c)\/c)\/(c*c\/(c\/(c**(-8)*c))*c))**(-20))**(-11) assuming c is positive.\nAnswer: c**(-5830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 77.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3363.\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.306968 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 92, -0.68, 4, -4, 7, -1\/3, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840667433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14690172 and 1074?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6405 + 16?\nAnswer: 6423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let i = 5 - g. Let p = i - 0.8. What is p rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*r - 149*r = -308 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1939, -3879, -5819, -7759, -9699?\n\"Answer: -1940*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:38 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -28)*(-3)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 2. Let w be b(-2). Suppose -3*m - 7 + 19 = w. Suppose -m*p = -0*p - 104. Calculate the remainder when 77 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5948256403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41033663, -41033670, -41033677, -41033684?\n\"Answer: -7*p - 41033656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 169*2\/4 + 2\/(-4) + -4. Sort -5, g, 1, 2, 5 in decreasing order.\nAnswer: g, 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*k + 55*k = 4666*k + 333305 for k.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + j + 1. Let b(a) = 6*a**3 - a**2 + 4*a + 3. Determine -b(p) + 3*z(p).\nAnswer: -3*p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 530833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*o - s, -1 = -2*o + s - 3. Let t be -2 - (3 - 4)\/o*-2. Solve 0*w - 2 = -3*w + x, -2*w + 4*x - 2 = t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/10)\/((-13)\/(2665\/82))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001001101110 (base 2) in base 7?\nAnswer: 100403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*c + 2*l, 13 = 27*c - 32*c + 4*l. Solve 0*b - 5*b = 5*h, -2*h - c*b + 3 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/13 + 196*m**3\/13 - 552*m**2\/13 - 1700*m\/13 - 950\/13 = 0. What is m?\nAnswer: -1, 5, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21100*n + 21 = 21121*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2193579271.\nAnswer: 13, 998443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 0*s - 3*s - 15. Let w be l(-10). Solve -22 = -5*n + c, 5*n - 10 = w*c - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 917*r - 916*r = -2*x + 29, 5*r = x - 9 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 8826.\nAnswer: -1\/2942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:00 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + 12. Let c = 36 - x. Find n, given that 27\/5*n**4 + 0*n**3 + 12\/5 + c*n - 39\/5*n**2 = 0.\nAnswer: -1, -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 141, 162, 213, 306, 453, 666, 957, 1338?\n\"Answer: 2*r**3 + 3*r**2 - 2*r + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + 0.1. Let v = s - 0.23999983. Round v to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6594433 is divided by 224?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -27*u**2 + 1. Let x(c) = 32*c + 223. Let z be x(-7). Let n be q(z). Let r(a) = 5*a + 1. Let i be r(-1). Sort 2, n, i in ascending order.\nAnswer: n, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**4\/4 - 4*m**3\/3 - 4*m + 4. Let f be y(4). Is (-2)\/(f*(-3)\/(-66)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010011001110101 - -1100?\nAnswer: 1100010011010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 6*n - 5*r + 65 = 0, -n - 2*r = -18 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**2 + 5*f - 1. Let h(n) = n**2 + n. Let z(y) = -22*h(y) + 4*k(y). Let d(w) be the first derivative of z(w). Determine d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2 + 196829912*m - 4842751782240968 = 0. Calculate m.\nAnswer: 49207478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7844368?\nAnswer: 2, 7, 70039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1029 divided by -343.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120 - -10?\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 669665974 a multiple of 3622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 6*s - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 2.7 (c) 5 (d) -4 (e) 1\/60 (f) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + 63*y - 66*y + 2 - 2 - y**4 to the form m*y + z*y**4 + v*y**2 + q + b*y**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**3\/4 + 3*g**2 - 21*g\/4 - 14. Factor t(u).\nAnswer: -3*(u - 7)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1*(-16)\/(-48)*-12. Solve -669 + 641 = -u*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 8*d**2 - 23*d - 701. Calculate q(-13).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 309?\nAnswer: -309.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*i**3 - 153*i**2?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(6\/8) + -39 + 40. Let z(g) = -5*g**2 + 29. Let u(q) = 26*q**2 - 146. Determine i*u(a) - 16*z(a).\nAnswer: 2*a**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32955007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14153*u - 6405*u - 7271*u + 4617*u + 1178*u to the form t + k*u and give k.\nAnswer: -22034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 - 14*b**2\/5 - 6*b - 18\/5.\nAnswer: -2*(b + 1)*(b + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 5:09 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 16 - 9999*p + 12 + 19947*p - 9951*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j + 1. Let n(r) = r + 2. What is n(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d**3*p**2 + 2*d**3*y + 18*d**2*y**2 - 28*p**2*y - 1701*p**2 wrt y?\nAnswer: 2*d**3 + 36*d**2*y - 28*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 - 131*o + 637. What is r(-49)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -239, -535, -949, -1481, -2131?\nAnswer: -2899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 516 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49830 by -8305.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 54?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47592434877*t**2 - 27*t**3 - 47592434877*t**2.\nAnswer: -27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3\/4*g**3 + 1\/4*g + 0 - 1\/4*g**4 - 3\/4*g**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13))**(-19)*(v**(2\/7))**48 assuming v is positive.\nAnswer: v**(1514\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -10 - 10 - (0 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*x + 18 = 0, -4*m = m - x - 30. Suppose -5*j + m*j = 5. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3 - 67 - 25*c + 11 + 4*c**3 wrt c?\nAnswer: 9*c**2 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d - 43. Let c be y(-7). Suppose -19*r + c*r + 30 = 0. Sort r, 14, 1.\nAnswer: 1, r, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -788 (base 12) to base 9.\nAnswer: -1465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 123529\/(-1862) - -70 - 3\/19. Let n*f - 4 + 1\/2*f**2 = 0. Calculate f.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 575, 1049, 1711, 2603, 3767, 5245?\nAnswer: 7079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -15. Let t = -29 - -115\/4. Let y = 0 + 0. Which is the closest to y? (a) -3 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u + 15 - 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -18*q. Let u(d) = -683*d**2. Give l(u(y)).\nAnswer: 12294*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-3*-5)**2 + (sqrt(700) + 0)**2.\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*i - 30, -5*y - 38 = -3*i - 1. Suppose 13*t - i*t - 10400 = 0. What is t rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8640 and 36.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/10, -387.5, 0.4 in descending order.\nAnswer: 0.4, -1\/10, -2, -387.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 58 + 73 = 2*m, 4*m = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 1)*(9*v - 3*v - 9*v - 1) to f*v + p and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 981 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - t**2 + t + 5. Let y be h(0). Let z = -2 + y. Let b be 0*-2*1\/2. Solve b*o + 7 = -4*o + z*u, 4*o + 5*u = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17569353 is divided by 1329.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -748 + 748.2. What is the biggest value in i, -2, 2\/3, 0.14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.073 - 0.073. What is the smallest value in 2\/125, 3\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8509 - 8351 - 8507 + h**3 + 25367.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.07, -16\/13, 0.1585 in increasing order.\nAnswer: -16\/13, 0.07, 0.1585, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaysyuykoouosyay. Give prob of picking 1 y, 1 u, and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0061446267 to four dps.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 25 = 0, -2 = -2*w - m + 17. Let x(d) = d**3 - d**2. Let b(i) be the second derivative of i**5\/5 - i**4\/4 - 10*i. Give w*x(s) - 4*b(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 + 2*n**3)*(-n - 2*n + 2*n) - 5*n**4 - 2*n**4 + n - 3 + 4*n**4.\nAnswer: -5*n**4 + n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/32 and 37\/11144?\nAnswer: 44576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**1)\/y)\/y**(-11) assuming y is positive.\nAnswer: y**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + -3*((0 + 1 + sqrt(1008))**2 + sqrt(1008)) + 5 + -2.\nAnswer: -3031 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -4*s**2 + 75*s - 5. Let l be v(20). Is -1\/2 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 84 - 1032 = -2*l, 4*l - 3*w = 2246. Suppose d + 4*d - l = 0. What is the remainder when d is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3401, -3634, -3867?\nAnswer: -4100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.265 and -5.\nAnswer: -81.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-80)\/(-25) + -2)\/(3\/10). Differentiate -13 - 20 + 13*z**v + 7 with respect to z.\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -660199\/49 - -13473. Does o = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -200*y + 2. Let c(d) = -3*d + 12. Let w(v) = -7*v + 27. Let f(t) = 9*c(t) - 4*w(t). Give f(s(g)).\nAnswer: -200*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 4:06 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {j: 1, b: 6, x: 2, e: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*j, -4*j + 15 + 1 = -2*n. Suppose 2*b = -2*y - 18 + 44, -4*b + 2*y + 22 = 0. Let h = j + b. What is the remainder when h is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7462 a factor of 4419235184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {b: 1, e: 3, k: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n + 2 = -53*n. Suppose -4*j + 3*w = -10, -n*w = -2*j - w + 4. Let v be (3\/2 - j)\/(6\/48). Solve v*r = -5*k - r - 30, 26 = -4*k - 5*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (1879998 + -3 + (4 - -2)). What is c rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 870 and 8.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -8.974217.\nAnswer: -125.639038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from qjjqqjqjqiqiqj.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e49 (base 16) to base 4.\nAnswer: -2321021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27926 - 19769. Is 72 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 24*v**2 + 5*v + 1. Let n = -6 - -2. Let j be z(n). Suppose -j - 625 = -3*f. What is f rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.12, 0.33, 320, 0.2?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0\/g)**(-3\/35)*g**2\/g**(-1\/3))\/((g**2\/(g\/(g*g**(-3))))\/(g**(2\/7)*g)**24) assuming g is positive.\nAnswer: g**(718\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -512.3.\nAnswer: -469.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65519 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6841.782s?\nAnswer: 1.900495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -1. Let v = w + 4. Put 0.2, -2\/5, v in descending order.\nAnswer: v, 0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -54*s - 2698. What is the units digit of j(-51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 5*h**2 + 5*h. Let b be f(-2). Let q(w) = 5*w + 4*w**3 - 4*w**3 - 9*w**2 + 4*w**2 - b*w**3 + 15. Is q(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.125 minus -3878917868253?\nAnswer: 3878917868252.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/108, 5, 2\/13, -462 in increasing order.\nAnswer: -462, -1\/108, 2\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -3\/1949033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0519945 to 4 decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -0.08. Let j be ((-12)\/(-42))\/((-3)\/7). What is the closest to q in j, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 smaller than -144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - 15*l + 2*l**2 - 56*l + (l + 2*l - 2*l)*(l + 0*l - 3*l) in the form h*l**2 + k*l + f and give k.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v*v**(3\/8))\/v)\/v)\/(v\/(v**7*v)))**0*(v\/(v*v**5*v))\/v*v**(1\/6)*(v**(2\/9)*v)\/(v*v\/v**3) assuming v is positive.\nAnswer: v**(-83\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -166, -329, -492?\n\"Answer: -163*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-88)*1848\/(-693).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 2*a**2 - 2*a - 3. Let g be u(-2). Let t be g\/(-2) + (-525)\/(-90). Factor -t*r + 8\/3 - 2\/3*r**3 + 10\/3*r**2.\nAnswer: -2*(r - 2)**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 606 + -618. Calculate the smallest common multiple of 42 and r\/36 + 106\/3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 9, -890 = -0*q - 2*q - 2*w. Let n = -441 + q. Solve -n*k + k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4170*t + 41579. What is d(-10)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/6)\/((-3835)\/(-23010)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 1. Suppose 1 = g - 2*y + 3, 5*y - 7 = 3*g. Let i be c(g). Solve -i*v + 6 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -236\/5 + 47. Let y = 2440\/7 - 348. What is the closest to 0 in y, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2280112 divided by 1.\nAnswer: -2280112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77857241, -77857243, -77857245?\n\"Answer: -2*d - 77857239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.14 minus -22.6?\nAnswer: -116.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -8. What is the remainder when l\/(5\/140*6) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, -6\/7, -5, 5.\nAnswer: -5, -6\/7, 0.29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 79*t - 1314. Let c be a(-55). What is the second biggest value in 0.7, c, -9, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*x + 3*b - 6*b, -b - 21 = 4*x. Let l(n) = 4*n. Let s(c) = -9*c. Let g(f) = x*s(f) - 14*l(f). Let h(m) = m**2. Calculate h(g(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + (sqrt(5000)*4 - sqrt(5000)))\/sqrt(5)*2)\/(((sqrt(1125) + sqrt(45) + sqrt(45))\/sqrt(3))\/(-2*1*sqrt(3))).\nAnswer: -124*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*z - 682*z - 677*z - 684*z - 675*z + 3379*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76)*1*-5 - sqrt(76))\/(sqrt(4) + (sqrt(32)\/sqrt(2))\/sqrt(4) + sqrt(4)).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {v: 17, t: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(3\/(-27))\/(5*4\/60)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34846370.\nAnswer: 2, 5, 13, 268049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3882876 by 1.\nAnswer: -3882876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-49))\/(-3)*(-112)\/(-96).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*f + 4*f + 22, 3*s - 40 = -2*f. Calculate the remainder when 1*(26 + -3) - 2 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = 4*l - 5*l, -4*l + 12 = 2*v. Calculate the common denominator of (22\/(-176))\/(22\/140) and 3 - l\/15*(-276)\/16.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and (-108 + 104)\/(1\/(-4))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4470?\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + -4*1352\/896 and 87\/136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 17 = -j. Let u be j*((-4)\/(-10) + (-7854)\/10). Suppose 0 = -5*x - 3*m + u, -3*x + 4*x - 4*m = 157. What are the prime factors of x?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 206\/4575 - -4\/75. Let x be (-1723)\/2013 + (-6)\/(-9). Let m = o + x. Calculate the common denominator of -61\/5 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 151\/2? (a) 2\/3 (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - r**2 + 0*r**2 + 11*r to t + c*r + m*r**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2097 divided by 3\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 67*w**3 - 2*w - 34*w**3 - 2 - 31*w**3 as q + b*w**3 + z*w + y*w**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l - 1 = 115 - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6377290 is divided by 82.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43*(-452)\/(-106898)*((-9)\/(-2))\/3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 12. Let o = k + -4. Suppose 0 = -3*w + 5*i + 24, 2*w - 4*i - 11 - 7 = 0. Solve -4*q = 5*t + 4, 0 = -w*q + o*q - t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + -7 + -2 + (137 - 120)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 116752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/55, -1\/7, -0.2, -0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwwwwwwxsss. What is prob of picking 3 w?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25266, -101016, -227214, -403818, -630786?\nAnswer: -908076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -4 - 112\/(-26). Let r(u) = 1733*u - 164629. Let q be r(95). Is q equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (52\/(-12) - -4)\/((-2)\/11478) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24687*a**2 - 12342*a**2 - 12346*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.689884 minutes to days.\nAnswer: 0.008117975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i. Let k(t) = -t. Let a(x) = 6*k(x) + y(x). Let v(s) = -3*s - 7*s + 40*s - 11*s. Determine v(a(z)).\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from {v: 2, f: 2, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -15. What is the remainder when 39 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0 + 0*l**7 + 0*l + 9\/20*l**5 + 0*l**3 + 14*l**2 + 0*l**4 + 0*l**6 - 5\/56*l**8. What is the third derivative of b(v) wrt v?\nAnswer: -1800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -50. Let o = c - 35. Do o and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/410 and 25\/7544?\nAnswer: 37720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/9, 0, -0.042.\nAnswer: -2\/9, -0.042, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -131.5 * 28707\nAnswer: -3774970.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2 - -3)*3. What is the derivative of -174*a**2 + 174*a**2 - 22 + a**4 - 25*a**b - 25 wrt a?\nAnswer: 4*a**3 - 75*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*u - 24 = 0, -3*i - 11*u + 16*u = -34. Solve -2*s = -2, 5*t - i*s = -20 - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7307807 and 6921?\nAnswer: 65770263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 786.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21998, -45187, -68376?\n\"Answer: -23189*h + 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240624 = -8*n + 240688 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 988 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veeiv. What is prob of sequence ievv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -179599 divided by -4?\nAnswer: 179599\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1526.316 rounded to the nearest ten?\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -407 (c) -515\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2324903 + -157?\nAnswer: -2325060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12109*r = 12097*r + 107460. Is r a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 185, 1577, 5403, 12881, 25229, 43665, 69407, 103673?\n\"Answer: 203*v**3 - v**2 - 26*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0959069614 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*y - 76*y + 2898 = -19*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*h - 15, 5*h = -2*a + 4 + 21. Let p be (-20)\/2*(-124)\/h. Suppose 0 = -5*r + p + 297. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:34 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -14*k + 11*k. Let o(a) = 6*a**3 + 15*a**2 - 13*a + 11. Let m(r) = 3*r**3 + 7*r**2 - 6*r + 5. Let x(c) = 13*m(c) - 6*o(c). Give x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10115 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-1764))\/((-4)\/18)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1188 and 336?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/3 + 116*s**3\/3 + 3566*s**2\/3 + 12808*s\/3 + 4104 = 0 for s.\nAnswer: -19, -2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624 + 3*m - 8*m + 7*m - 624.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8138 - -8138.014846. What is k rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*(-31269)\/(-56) + 5\/20 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 * 0.055.\nAnswer: 2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 4 + (4 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = -60. Suppose -4*a = -u + 16. Does a = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -52. Is s at least as big as -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q + 72000. Round q to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-10))\/((-70)\/140)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2 + 16839890*l + 14179094760605 = 0.\nAnswer: -1683989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (250\/18)\/(-5)*63\/105?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1371, 1 in increasing order.\nAnswer: -1371, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -369 - 1486. Is g a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 + 12 = 0. Suppose 3*f + 2*z - 11 = 0, -6 = -4*f + t*z + 3. Suppose f*d = 2*d - 1600000. Round d to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*u - 4*u + 7, -b - 5 = 0. Let d = u - 8. Suppose -d*m = -32 - 56. Calculate the remainder when 43 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 1, c: 1, a: 2, e: 1, r: 2}. What is prob of sequence aa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 4b8d?\nAnswer: -4b8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6108 and 1405260?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5593339 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233391501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -17. Let l = 1 + m. Suppose 0 = -3*c - l*h + 1087, 212 = -5*c + 5*h + 2057. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 12*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150965390348 + -150966804316.059532. Let d = 1413971 + z. Let h = d + -2.94. What is h rounded to five decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 7*p**2 + 0 - 1 - 1 in the form v + g*p**2 + k*p and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100880 and 143.\nAnswer: 1109680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4\/7 + 37*x**3\/7 + 117*x**2\/7 + 17*x + 40\/7 = 0.\nAnswer: -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -2. Let y = i + 7. Solve 0*k - 4 = y*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 6*c**2 - 5*c - 47. Let a be w(-5). Suppose 2*u - h - 199 = 0, 0 = -0*u - 4*u - a*h + 373. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 48. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94*(4 + (-228)\/56) and 77\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*q + 79 - 241, -5*q + 35 = o. Let h = o - 9. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = 2*s + 3*s, 4*s + 50 = -2*n. Let y = 14 + s. Let j be -1*(y\/1 + -8). Are 4 and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffsrrssffsffsxffs. Give prob of picking 1 x and 1 f.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**3 - 10*p**2 - 2*p + 1. Determine i(4).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 143, 211, 279, 347?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 40 = -6*f. Suppose -3*u = 4*m - u - 30, m + 4*u + f = 0. Suppose -3*k - 511 = -m*k. Calculate the remainder when k is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1109 - f + 3753 - 166 - 321 to the form h*f + b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + o - 4*o - 24 = 0, 0 = -5*s + 3*o + 60. Let n(q) = -q + 15. Let l be n(0). Let g be 1\/(1 - s\/l). Is 5 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -11 + 2 + u**2 - 4 + 5 - 10*u. Let d be a(11). Factor 2\/7*t - 2\/7*t**d - 2\/7 + 2\/7*t**2.\nAnswer: -2*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1436*f + 5732. Calculate u(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 17. Suppose -2 - 1 = -k. Solve -r + o = 2*r - 4*g, k*r + 4*g = -19 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5144 greater than 282902\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 4*w + 46. Give x(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -535*p - 24. Let a(d) = -179*d - 9. Determine -8*a(b) + 3*f(b).\nAnswer: -173*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - d - 1. Let z(h) = -2*h**2 - 2*h - 1. Determine 6*f(k) - 4*z(k).\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127 - -123. Let l(t) = 5*t - 2. Determine l(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140.83 - -0.17. Let r = -160.4 + g. Round r to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 285, 267, 249, 231, 213?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -24, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 divided by 1?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-81))\/((-78)\/307125*25).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11336 divided by 104.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 21 = 2*w, -3*l = 4*w - 9*w + 30. Suppose 2*a = 0, -b + 6 = -2*b + 2*a. Let j be 9\/b*8\/(-6). Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.41068 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 539560.9 decades?\nAnswer: 53956.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - sqrt(40)*1)\/sqrt(4))\/(sqrt(50)\/(sqrt(50)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215 + 214.99999995. Round d to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 0 + 0*a**6 + 0*a**7 + 1\/3*a**4 + 0*a**5 - 3*a + 0*a**2 + 0*a**3 + 1\/56*a**8. What is the third derivative of p(v) wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -166.9271092 to two decimal places.\nAnswer: -166.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 88, 829, 1\/7, 38\/3 in decreasing order.\nAnswer: 829, 88, 38\/3, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 13*m**2 + m - 7. Let d be x(13). Let s be (-2)\/d*(-221 + -1). Suppose -5*q + s = -91. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d**2 + 14*d. Let g(a) = 7*a**2 + 5*a. Suppose -5*j + f = 66, -4*j + 2*f = 5*f + 68. Determine j*g(i) + 5*y(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -8.\nAnswer: -8, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -53*v**3 - 2*v - 88. Let f(c) = -2*c**3 + c. Let i be (8 - 7) + (-2 - 0). Let o(r) = i*n(r) - 2*f(r). Find the first derivative of o(h) wrt h.\nAnswer: 171*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-276)\/138*284\/(-40))\/((-1)\/5)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a**2. Let t(l) = 25*l**2. What is f(t(g))?\nAnswer: -6250*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4934259 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 12:00 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*5 - (-37 - -38). Let w(i) = t - 4 - 672*i + 673*i. Let m(z) = -129*z. What is m(w(s))?\nAnswer: -129*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -37. Suppose -4*c + m = 6. Suppose 0*o = -3*y + c*o + 88, 2*y + 3*o - 70 = 0. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*((-20)\/30 + 1\/15). Suppose 3 = 4*h - 393. Calculate the highest common factor of h and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -43. Calculate the remainder when 9 is divided by 40\/n - 22\/(-77).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212152831.\nAnswer: 11, 1259, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764148.36 rounded to the nearest 10000?\nAnswer: 2760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 6. Let x be o(6). Suppose 6*q = -x*q. Which is smaller: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14093 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.29, -5\/23, -52\/11?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 - -67.9. Let h = -3 - -5. Which is greater: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = -10. Suppose -d*w + 4*n = -60, 0 = w - 3*n - 2*n - 3. Calculate the highest common divisor of w and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1025)\/(-50) + 3\/(-2). Differentiate 8 - a*n + 25*n + 8*n with respect to n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -39, 37.\nAnswer: -39, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**6\/30 - 3*c**5\/20 + c**4\/4 - c**3\/6 + 27*c. Suppose t(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -154421755 and 0.1.\nAnswer: -15442175.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -0. Let c = 336 + -326. What is the remainder when c is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14927?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169 - 162 - ((-9)\/(-3) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -7\/34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let f(g) = 2*g - 15918534. Give y(f(z)).\nAnswer: -2*z + 15918534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5 + 368616*o**4 + 82607616*o**3 + 4626728960*o**2 = 0.\nAnswer: -112, 0, 368840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2315347, 4630699, 6946051, 9261403, 11576755?\nAnswer: 13892107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 - 98 + 60*t)*(-9*t**2 + 6*t**2 - 3*t**2)*(12 + 28 + 6).\nAnswer: -16560*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 2)*(34*x**4 - 56*x**4 + 46*x**4).\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.60195\nAnswer: 0.180585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, 5\/2, 0.4, 3, 3\/2.\nAnswer: -198, 0.4, 3\/2, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.0646 centuries in years?\nAnswer: 23506.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 3*y**3 + 1447*y - 1650*y + 119*y + y**3 + 84*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u + 18. Let n be q(4). Suppose 3*g - i = -g + 13, -3*g + n*i + 11 = 0. Let x(p) = 7*p**2 - 9*p - 4 - 2*p**2 + p**g + 1 - p**2. Determine x(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 122015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2. Let i(w) = -2 + 0 - 529*w + 494*w. Give i(h(t)).\nAnswer: -245*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3277, 61, 4 in descending order.\nAnswer: 61, 4, -3277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-20)\/(-5))*-1. Suppose 0 = -5*h + k*g - 9314057 - 14535963, h - 3*g + 4770012 = 0. Round h to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 17*k - 6. Let i be s(-8). Solve -6 = -i*j + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - 17) + 10 - -2) + 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 964, 5, -17, -4, 1, 0 in descending order.\nAnswer: 964, 5, 1, 0, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2871*t = 4408 + 136271 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1034960273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 2*a)*(0 + 4*a - a + 1) + (36 - 19 + 33)*(2*a**2 + 0*a + 0*a).\nAnswer: 94*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/545?\nAnswer: -4\/545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-45)\/(-3))\/5*(-47)\/(-3). Let b(j) = -25 - j - 22 + k. Let i(n) = 97*n - 2. Give b(i(u)).\nAnswer: -97*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486318.\nAnswer: 2, 3, 7, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {s: 2, k: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 22*i - 784 - 707 - 726 + 2217.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*h - 5, -3*h = j + 4*j - 19. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 - -55 - 11 - (0 + -1 - 5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6959 - -17842. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -13*q**2 + 7*q - 5. Let o be u(1). Let a(p) = p + 15. What is a(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 4. Let c(g) = -3*g - 2. Suppose 28*w - 21 = -189. Determine w*h(k) + 11*c(k).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 165953552 and 0.336.\nAnswer: 165953552.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2058 - 1195. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3211 + -443412441?\nAnswer: -443421202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 3*r**2 - r. Let j be o(-3). Let l(v) = -v**2 + 3*v + 2. Let y be l(j). Solve 4 = -y*x, -4*m - 3*x - 8 = x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + (4 - (-8 + 6 + 5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c7160 + 2?\nAnswer: -3c715e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 1. Let h(t) = 161*t - 13. Let k(m) = -511*m + 41. Let n(l) = -19*h(l) - 6*k(l). Determine -2*f(p) + n(p).\nAnswer: 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 15) in base 11?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*z**2 - 79 + 79)*(-268271 + 118*z + 268271) to d + j*z**3 + g*z + y*z**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -19. Suppose r*o = 5 - 11. Let m(w) = -w**3 - w**2 - w + 2. Is m(o) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*p - 6 = 2*r, -r + 3*p - 9 = 0. Let s = r + 0. Suppose 0*b - b + 65 = s. What is the highest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 - 4*b + 4. Let q(k) = 2*k**2 - 3*k + 3. Suppose c = -3*c + 12. Let r(g) = c*y(g) - 4*q(g). Let a(m) = 8*m**2. Calculate r(a(s)).\nAnswer: 64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22347.5 * 0.04.\nAnswer: 893.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22 - (-36 + 15)) + 1*-2. Let o(f) = -f - 4. Let p be o(-6). What is the nearest to -1 in p, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/330 and -199\/275367120.\nAnswer: 3029038320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*q - 238, -3*k - q = k - 970. Factor 74*b + 128*b - k*b - 4*b**2.\nAnswer: -4*b*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -2. What is the units digit of (2 - k) + (2 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210800739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1095)\/52 + 70 + (-68 - -19)?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2986, 6609, 16426, 35533, 67026?\nAnswer: 114001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74682.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 0) + (8 - 4). Suppose -4*l + 153 = r, 3*l = -l + g*r + 150. Suppose 0 = 43*d - 32*d - 110. Solve b = 2*h - d, 5*h + 13 = 3*b + l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 97 = 99. Let s(t) be the second derivative of -3*t - 1\/2*t**3 + t**2 + 0. Determine s(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76142970*i**3 + 61714335*i wrt i?\nAnswer: -456857820*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11426 divided by -414\nAnswer: -5713\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 29. Let i = k + -1.8. Let j = 0.200352 - i. What is j rounded to 5 decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 20737 = 799. Let c = 23327\/7 + k. Is 8 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295275 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 3. Let a be r(2). Suppose 13 = -3*x + 5*w, -2*w = a*x + 3*w - 7. Is -2\/9 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 175925\/4287 or 41?\nAnswer: 175925\/4287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6895349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2 - 1*-4. Let o(h) = h - 4*h**2 + 2*h**3 - h**3 + 3 - w*h. Let x = 107240 + -107236. What is o(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*-1)\/(3\/1))\/(13066\/3645414).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((31 - 10) + -20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -2. Let p(o) = -o**3 + 6*o**2 + 4*o - 3. Calculate the remainder when 41 is divided by p(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 1 - 427*p**2 + 835*p**2 + 2*p**4 - 3*p - 70*p**2 in the form b*p**4 + s*p**2 + m*p**3 + y + x*p and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*k + 3 + 29 = -30, 4*k = -101*x - 149 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -1\/3 (b) 4085 (c) -4 (d) -5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3340962033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-19)*(-6422)\/(-3380)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -109 (b) -5 (c) 39349\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z. Let l(k) = 4546*k. Calculate f(l(h)).\nAnswer: 22730*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-120)\/(-21) - (-2)\/7. Suppose t*d + 3*j = 2*d - 55, -55 = 3*d + 5*j. Let n = 21 - d. Solve -2*r = 3*s - 7*r - n, r = -4*s + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**7\/105 + 28*t**6\/15 + 113*t**5\/30 + 339*t**2 + 8*t. What is o in m(o) = 0?\nAnswer: -1, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z - 48*z = -2*x + 20, -5*z - 10 = 0. Let o = -6 + 3. Which is the nearest to 2\/5? (a) -4 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/362674 and 1\/10556.\nAnswer: 5077436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9984.305 decades in millennia?\nAnswer: 99.84305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 214. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 = 113*x - 7*x - 1259 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -d144 (base 15) to base 6\nAnswer: -540244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w + 1 = 0, -4*b = -5*w + 9. Let k be 12\/8*4\/(-6) - 5. Is k greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 177.5 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 21 = -45. Suppose 2 = i*x - 86. Solve 5*m + x - 5 = -2*b, -12 = 4*b + 5*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1865 minus 1148052?\nAnswer: -1146187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 33 = -0*q. Let o = q + -4. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5.\nAnswer: -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -26. Let m be ((-22)\/j - 4)\/(-6). Let p = 0.6 - 5.6. Which is the smallest value? (a) -4 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 252, 2370, 14, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/7 (b) -1\/5 (c) -16117290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - j. Let q(k) = -4*k + 3. Let i(r) = -9*r + 5. Let n(m) = -3*i(m) + 5*q(m). Let g(f) = 7*d(f) + n(f). Let h(p) = 9*p. Give g(h(b)).\nAnswer: -567*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 6*k - 39786, -8*k + 7*k - 39781 = -3*q. Is q a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**2*y**3 - 375*d**2 + 72*y**3 wrt y.\nAnswer: -9*d**2*y**2 + 216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:55 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1184*r + 1186*r = 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 8*n + 140 - 344 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-10 - -14) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -852, -2061, -3758, -5943?\nAnswer: -8616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.3, 0.09, -84, 0.5 in increasing order.\nAnswer: -84, -1, -0.3, 0.09, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + 22132?\nAnswer: 22011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 701 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 14. Let h be 4\/3 - (-6)\/y. Suppose -h*i + 24 = -3*m - 35, 179 = 5*i + 3*m. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**3\/5 - 8124*l**2 - 3394017*l\/5 + 5149494 = 0.\nAnswer: -90, 7, 13623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5158 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -7*z + 2*z + 2*b, -2*z + 5*b - 8 = 0. Solve z*t - 11 = 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*d - 114 + 4, -3*t - 187 = -d. Let g = t - -59. Suppose 3*k + 4 + 8 = 0. Put k, -5, g in increasing order.\nAnswer: -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnxnxtnxmmtcxtxtmxb. Give prob of sequence bc.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 22*w + 2*w)*(-1 - 5 - 1)*(-1 + 3 + 0) in the form h*w + y and give h.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5579*h**4 - 18*h**2 - 84730314 wrt h?\nAnswer: 22316*h**3 - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 4*z**3 + 2*z**3 - z**4 + 2*z**2 + 0*z**4 as b + y*z**2 + p*z + s*z**4 + i*z**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s**4 + 6*s**4 - 6*s**4 + (4 + 2 - 4)*(s**2 - 2*s**4 - s**2) + 80*s**2 + 71*s**2 - 2*s - 139*s**2 - 6*s**4.\nAnswer: -2*s**4 + 12*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 3*j**2 - 8*j + 16. Let c be s(-7). What is the greatest common factor of c and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2408\/12880 + (1\/15 - 2\/12)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 51 = 3*r - 6*r, -5*w - 9 = -r. Let m = 58 + r. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by (-19)\/(-1) + (-12)\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -38*x + 60. What is the remainder when 949 is divided by f(-2)?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127199?\nAnswer: 311, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -49.074. Let h = o + -0.05. What is h rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjjyzjjzzjyjjjyyj. Give prob of sequence jyzy.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (12 + -62)\/(-3*(-4)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 0, -3, 59.\nAnswer: -7, -3, 0, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13567 + -6686. Let f = v - 54957\/8. Let s = -133019\/16 - -8317. Find the common denominator of s and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - h + 8)*(45*h - 792 + 792)*(5*h**3 - h**3 - 2*h**3).\nAnswer: -90*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 16088800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 23077*y**2\/5 + 26209512*y - 24202658736\/5.\nAnswer: (y - 179)*(y + 11628)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*m - 10364, 10 = m - 6*m. Let w be r\/372 - (-3)\/(-9). Let u = w + 15. What is the common denominator of 11\/5 and u?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/2 - 43*l**2\/2 + 231*l\/2 - 333\/2 = 0. Calculate l.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/20 - (-111)\/(-4). Let l = w - -17. Calculate the common denominator of l and 97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -15*a**2 - 79*a - 201. Let s(r) = -22*r**2 - 127*r - 302. Give 8*p(w) - 5*s(w).\nAnswer: -10*w**2 + 3*w - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -4, 3, -1 in decreasing order.\nAnswer: 41, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 8*w + 13. Let u be y(-9). Suppose -t - 10 = 3*f, 5*f + 16 - u = 3*t. Suppose 3*d = -9, -5*k + 11 = -k - d. Put 1, f, k in decreasing order.\nAnswer: k, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*u + 138 + 14*u - 44*u - 31*u**2 - 15*u - 138.\nAnswer: -31*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*m**4 - 104 + 101 + 97*m**4 - 14*m**2 + (2*m - 3*m + 4*m)*(m - 3*m - m)*(0*m**2 + 5*m**2 - 4*m**2).\nAnswer: -11*m**4 - 14*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*j + 10. Let y = -8 + j. Solve a + y = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/43 in 0.8, -0.2, 1\/2, -168?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/20)\/(3 - (-363)\/(-120)). What is the third smallest value in 2, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slhlsssl. Give prob of picking 1 l and 3 s.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 16*p + 1148. Determine c(-32).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000789757 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247886, -495799, -743770, -991829, -1240006, -1488331, -1736834, -1985545?\nAnswer: -2234494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1973\/14 + (-5)\/(-70). Put 0.06, o, 0 in decreasing order.\nAnswer: o, 0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31735 - -31734.9897705. Round a to 4 decimal places.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/33472 and 34\/126043.\nAnswer: 8066752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1446 and -7?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*c + 64. Let z be (-8)\/c + 36\/20. Solve -z*r**2 + 0 + 8\/5*r**3 + 16\/5*r**4 + 1\/5*r = 0 for r.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 123, 163, 229, 327, 463, 643?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 16*d**2 + 23*d - 28. Calculate the remainder when a(17) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q - 9. Let l be s(-8). Suppose -84*x = -l*x + 4*a - 188, 2*a - 184 = -5*x. What is the remainder when 77 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 941, 1185, 1485, 1841, 2253?\n\"Answer: 28*l**2 + 160*l + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*s**3\/7 + 668*s**2\/7 - 2180*s\/7 + 72 = 0. Calculate s.\nAnswer: 1\/4, 14\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x**2. Let j(d) be the second derivative of -7*d**3\/6 + 14*d + 1. Calculate u(j(k)).\nAnswer: 441*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74474560.\nAnswer: 2, 5, 211, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 680881, 1361795, 2042705, 2723611, 3404513, 4085411?\nAnswer: 4766305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110212120120010 (base 3) in base 9?\nAnswer: 13776503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/120*9)\/(12\/(-32))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 6 + -9 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58922*l - 121 = -59043*l. Let n = 0.6 + -0.2. What is the nearest to l in 1\/7, n, -34?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 1, g: 1, x: 1, p: 1}. What is prob of sequence wpg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 25\/5*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 9*b - 530. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 10:08 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 26 = 2*v. Let l be 6\/(-12) + (-13)\/v. Which is the third biggest value? (a) -1 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2904448681.\nAnswer: 37, 887, 88499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 2. Suppose -7*t + 31 = 185. Let d(g) be the first derivative of -5*g**3\/3 - 11*g - 1. Calculate t*w(v) - 4*d(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1 - (-55 - (5 + -72 + 61)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57242 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1631563 divided by -15.\nAnswer: 1631563\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2532216692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:29 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 549614.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 + 936 + 4*x**2 + 933 - 5*x**2 + 914 - 2783.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 1. Let d(r) = -3*r - 5. Let i(t) = d(t) - 4*h(t). Suppose 24*g + 74231 - 74063 = 0. Determine i(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -519 - -1904. What are the prime factors of l?\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 6, d: 3, s: 1, u: 1}. Give prob of picking 1 b and 3 d.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*q + 35 = 0, w + 18 = -5*q - 7. Let s = w - -18. Suppose 4*t + t + 1 = s*x, -5*t + 13 = 4*x. Round t to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 16*g**2 - 11*g - 50. Suppose -17*l - 105 = -24*l. What are the prime factors of i(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309342893 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: Calculate -3 + 0 + (-3 - 2) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and 0.7?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2305 and -17\/221741.\nAnswer: 1108705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7*h - 10*h**3 + 0 + 8*h.\nAnswer: -10*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**5\/60 - 3*k**4\/8 - k**3\/6 - k**2. Let c be h(9). Which is smaller: 1\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/30 + a**4\/3 - 4*a**3\/3 + 5*a**2 - 10*a. Let p(i) be the first derivative of m(i). Factor p(g).\nAnswer: -2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*k**4 - k**3*r**2 - 3*k**2*r - k*r**2 - 10*k wrt k?\nAnswer: 480*k - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 62. Determine c(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -625bd + 3?\nAnswer: -625ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + v. Let f(d) = -d**3 - 2*d**2 - d - 7. Let l(u) = f(u) + p(u). Let y(j) = j**3 - 6*j**2 - j + 1. Let g be y(6). Is 11 a factor of l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 191193 and 2661.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/509, 3, -2\/7, -1\/6.\nAnswer: -2\/7, -1\/6, -2\/509, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 96 + -126?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8672717993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62474 is divided by 1833.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17421 is divided by 2465?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 458 and 1?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.7 + 5. Let z = 141370.8 + -141372. What is the nearest to -2 in -2\/7, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 29*g**2 + 66*g - 337. Give v(27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 2. Let i be c(7). Let x(w) = -2*w**2. Let y be x(-1). Does 10 divide y\/(-3) - 232\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/47192 and -97\/3445016.\nAnswer: 3445016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -21*f**3 + 350*f**2 + 11*f + 127. Let y(q) = 4*q**3 - 70*q**2 - 2*q - 23. Calculate 4*c(u) + 22*y(u).\nAnswer: 4*u**3 - 140*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25675217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19736229?\nAnswer: 3, 6578743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15765 - 602 = -1259*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 d when four letters picked without replacement from ckdddcdckckdkkdkdkck?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 5, k: 5}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19218416241 - -1275.\nAnswer: -19218414966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13707381?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 80. Let o be v\/2*(-4732)\/21. Suppose o = 7*l + 6*l. What is the remainder when l is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**11))\/u*u\/u**(-12)*(u**(-2))**(2\/93))**(-3) assuming u is positive.\nAnswer: u**(-89\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1011011000?\nAnswer: 1011010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -893, -850, -849, -944, -1189, -1638, -2345?\n\"Answer: -9*a**3 + 33*a**2 + 7*a - 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1062 and 21771.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 264949832\/5 or 52989966?\nAnswer: 52989966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 5*u**2 + u + 7. Let b be l(5). Let x = b + -12. What is x rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*b*f*w**3 - 2*b*f + b*w**2 - 9679*b*w - 13*f*w**3 - 2*w**3 wrt w?\nAnswer: 66*b*f*w + 2*b - 78*f*w - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32327189299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17434 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3406 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 - -0.7. Let w = -5.46 - z. Does w = -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225028, 450100, 675218, 900382, 1125592?\nAnswer: 1350848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 6:48 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuvvv. Give prob of sequence vuuu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 61.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*d + 48 + 78 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1713520 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -2, -7, -1, -5 in decreasing order.\nAnswer: -1, -2, -5, -7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k - 2. Let m(l) = -4*l - 2. Give 2*m(t) - 3*w(t).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -111114 (base 7) to base 12\nAnswer: -b423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52, 199, 474, 931, 1624, 2607?\n\"Answer: 9*s**3 + 10*s**2 + 54*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 7:24 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -268 - -544. Let c = b + -115. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**25*j\/(j**(2\/9)*j))\/((j\/(j\/((j*j**(-2\/35))\/j)))\/(j\/((j*j**(-10))\/j))))**(-4\/5) assuming j is positive.\nAnswer: j**(-45152\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.213 - -6.713. Suppose c + 5*r + 1 + 12 = 0, -4*c - 2*r - 16 = 0. What is the fourth biggest value in c, -26, s, 0.3?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92671?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6416618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3\/4 + 79373673*h**2\/4 + 131253739359768*h - 131253759203187 = 0. Calculate h.\nAnswer: -13228946, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122387 = 238*b - 196*b - 456329. List the prime factors of b.\nAnswer: 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c**2*r**4 - 57020*c**2 + r**4 - 3336*r**2 with respect to r.\nAnswer: 32*c**2*r**3 + 4*r**3 - 6672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*t - 1086 - 1904. What is the least common multiple of t and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 d, and 2 e when four letters picked without replacement from wswdxhhdweedewwdhe?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 19 - 32)\/((-4)\/(-20))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6194, -12385, -18560, -24713, -30838?\n\"Answer: m**3 + 2*m**2 - 6204*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2231 (base 4) to base 11\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-37)\/(8436\/12))\/(16\/(-152)). Factor -r*c**4 - 24*c**2 + 15\/2*c**3 + 0 - 32*c.\nAnswer: -c*(c - 8)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 2. Suppose -z - v = 3*g + 7, -16 = 2*z + 4*g. Suppose 5*y = 4*f + 13, 4*y - 2*f - 12 = z*f. Sort 2, y, 3.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 3840984?\nAnswer: -3840978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.337 * -0.96\nAnswer: -0.32352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*-3*(-3 + 0 + sqrt(833) + 5 + -5 + 2 + -2*sqrt(833)))**2.\nAnswer: 50400*sqrt(17) + 3002400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11001010100111111100 (base 2) to base 3\nAnswer: 1120011110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t - 1. Let n = -592 + 600. Let y(z) = -11*z + 2. Determine n*p(v) + 3*y(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9570, -9638, -9776, -9990, -10286?\n\"Answer: -q**3 - 29*q**2 + 26*q - 9566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 9*q. Suppose 3*v - 7*v + 8 = q. Suppose v*s = -s + 180. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 7*k = -0*d - 212, -k + 1940 = -2*d + 1900 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000166959 to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 9*k + 38 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:06 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 54789764574+0.1154\nAnswer: 54789764574.1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26447 - 2*u**2 + 26346 - 52793.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 + 5*b**2 + 14*b - 44. What are the prime factors of n(5)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4) - -1 - (-44795)\/2890?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, 90, 135, 182, 231, 282?\n\"Answer: d**2 + 40*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -83*l**6\/120 - l**5\/30 - 199*l**3\/6 - 34*l**2. Differentiate m(d) with respect to d.\nAnswer: -249*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b**2 + 38 - 332210*b + 59 + 332209*b.\nAnswer: 37*b**2 - b + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2441, 4861, 7283, 9713, 12157, 14621, 17111?\n\"Answer: h**3 - 5*h**2 + 2428*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(42\/12))\/((-19)\/(-665))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 444442 + -444441.97. Let p be (-2)\/3*6\/(-10). Sort c, 3, p.\nAnswer: c, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**5 + 52*t**4 + 184*t**3 - 40*t**2 - 700*t + 500.\nAnswer: 4*(t - 1)**2*(t + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 14319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - (2 + -2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 11*i**2 + 15*i + 73. Determine a(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5267103694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:07 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -275ad0d?\nAnswer: 275ad0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 823*z**3 - 823*z**3 - 41*z**5 + (-5*z**2 - z**2 + 3*z**2)*(2*z**3 - 2*z**3 + z**3) - 121*z - 18*z**5 + 242*z - 121*z.\nAnswer: -62*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3333 + 10584. List the prime factors of s.\nAnswer: 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 4*u + (51*u - 99*u + 82*u)*(-1 + 2 - 3) + (-1 + 1 + 1)*(-2*u + 1 - 1).\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 153*h + 10904. Let a be k(51). Solve -17*x - 653 = -a for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-4 - -12) + -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40713 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhwhwhhhhwwhhhhhhh. What is prob of picking 2 w and 1 h?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 33 = 5*u. Suppose -2*p = 3*z - 67, -4*p + 112 + u = -5*z. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - n + 0 + 0 - 2*n + (3 + 0 - 1)*(-2*n - 4*n + 5*n) + 0 + 0 - n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*a + 87, q = -4*a - a + 95. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 993 = -4*w, -3987 = 4*n - w - 0*w. Let v = -383 - n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Suppose -i*b - 103 = -298. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*b - 37, 3*b + 39*m = 43*m + 45 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 19*h**2 + 416*h + 5. Let x be m(-32). Let z(k) = 3*k - 17. Calculate z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**3 + 108*r**2 + 9*r - 303. What is the remainder when 64 - 2*-1*-1 is divided by q(36)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -2*l**3\/3 + l**2\/2 + 2*l + 2. Let s = -874 - -872. Let y(r) = -6*r**2 + 2*r + 7. Determine s*y(d) + 7*m(d).\nAnswer: -2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnnn when four letters picked without replacement from {n: 6, m: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -9. Let x(c) = c**3 - 9*c**2 + 9*c - 4. Let i be x(8). Suppose -3*z + 100 = n*s - s, -i = -4*s. Calculate the greatest common divisor of 22 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/5, -4, 11136, -0.3, 24, -7, 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24525 + 44847. List the prime factors of b.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044539774 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 0.4, 43, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 7*l - 8. Let t be p(6). Calculate the common denominator of (-33)\/(-128)*(-5 + 17) and (-102)\/(-33) - 4 - 6\/t.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 48*v**3 + 642*v**2 - 4 - 1254*v**2 + 3 + 574*v**2 - 47*v**3.\nAnswer: v**3 - 38*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154970, -621828, -1399924, -2489258, -3889830, -5601640, -7624688?\nAnswer: -9958974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibtlbittjieieie. Give prob of sequence ebb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - w**3 + 276 + 5*w - 3*w - 129 - 130 as b + o*w + m*w**3 + p*w**2 and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*m = -2*i, -8 = -2*m. Suppose i*g - 73 = -3*p, -p + 83 = -g + 6*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/6*163\/(12714\/156)*18\/4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 + 69. Let m = 12 + l. What is the second smallest value in -7, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 102. Let b(x) be the second derivative of 3*x + 25\/12*x**d - 5\/3*x**3 + 1\/2*x**2 + 0. Factor b(m).\nAnswer: (5*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 3 = 4*j + 3*t, 2*t - 2 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11723628 divided by 4193?\nAnswer: -2796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-13 + 12 - (2 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 79*v**2 + 397*v - 17422. Calculate c(77).\nAnswer: 1289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -136 + 1158?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 4. Let o be y(4). Let x be o\/(3*(-6)\/(-9)). Find the third derivative of -x*l**3 + l**2 - 2*l**3 + 3*l**3 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -98*b**4\/9 + 212912*b**3\/9 - 182320*b**2\/3 + 260416*b\/9 - 34720\/9 = 0.\nAnswer: 2\/7, 2, 2170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 4 + 5*y**4 - 85*y**2 - 4 + 75*y**2.\nAnswer: 5*y**2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/16272 and 91\/3827536?\nAnswer: 34447824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*q + 1. Suppose p = -q + 16. Suppose -p*l + 6*l + 4 = 0. Solve 0 = l*g + 1 + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141.6 - -154. Let l = s + -12. Which is the third biggest value? (a) 0.1 (b) 1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 825*t\/4 - 22869.\nAnswer: -(t + 132)*(t + 693)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4 + 453*d**3 + 3*d**2 + 344*d wrt d.\nAnswer: -24*d + 2718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 20*r**2 - 2*r + 1. Suppose 7*u - 19 = -5. Let f be n(u). Let q = f - -6. List the prime factors of q.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*i + 9 + 7 = 0, -2*n = 5*i + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/2 - (-102)\/(-51). Let c be ((-32)\/(-40))\/((v\/(-10))\/(-1)). Solve 65 = -c*r + 49 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1199.21.\nAnswer: 239.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7898\/3 bigger than -2633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*d = -s - 20, 5*s - 14 = -d. Solve -3*y + 3 = 0, 0 = -3*w - 2*w - 3*y - s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 52994.66432\nAnswer: -52994.36432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o**2*u**2 + 2*o**2 + 4*o*u**2 + 4*u**2 wrt o?\nAnswer: -10*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-3355)\/(-10) + (-63)\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k - 2. Suppose 9*n - 5*n - 54 = -2*v, 4*n - 72 = 4*v. Suppose 7*c = -4*f + 4*c + 11, 5*f = 2*c - n. Determine r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -20*i**4 + 13015*i**3 - 2041045*i**2 + 20427425*i + 5234625 = 0.\nAnswer: -1\/4, 11, 235, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 - (-3 + 9 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 110, -40 in increasing order.\nAnswer: -40, -7, 0, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2871112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-52)\/(-13) - ((-2 - 8)\/(-5) + -457). What is the highest common divisor of v and 3825?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 + -104 - ((1 - 1) + -3 + 3 + 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20d538 (base 16) to base 9.\nAnswer: 4038557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(252)*-1 + sqrt(252)) - (sqrt(252) - (5 + -1 + sqrt(252)))) + 3 + (sqrt(252) - (1 + -1 + sqrt(252) + sqrt(252) + sqrt(252)))*-6)**2.\nAnswer: 1008*sqrt(7) + 36337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 3, -5, 9, -2, 5, 0 in descending order.\nAnswer: 9, 5, 3, 0, -2, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -484 divided by 121.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2706*z**2 + 3084*z**2 - 7264*z**2 to w*z + n*z**2 + j and give n.\nAnswer: -1474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (34 + -2)\/4. Suppose 1847 + 1157 = n*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -3*w. Suppose 528 = 3*t + 3*j, w = -2*t - j - 4*j + 361. What are the prime factors of t?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -157*u - 2024. Give j(-17).\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1332, 4213, 9020, 15753, 24412?\n\"Answer: 963*k**2 - 8*k + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5 + 585*z**4 + 442*z**3 - 147*z**2 = 0. What is z?\nAnswer: -1, 0, 1\/4, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -5, -1\/3, -17, -0.4, 654?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w. Let c(i) = 18*i**2 - 20. What is y(c(q))?\nAnswer: 36*q**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 2*q**2 + 36*q + 10. Determine y(7).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -168, -53, 190, 567?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1573) - ((1 + sqrt(1573) - sqrt(1573)) + sqrt(1573))**2) + sqrt(1573) - (sqrt(1573) + -1 - sqrt(1573)))*-3.\nAnswer: 23595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, 2, -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 1:08 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-12 + (-8 - -21)). Solve -a*s = 2*t - 1 + 3, s + 2*t = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -10110100000010010000101001?\nAnswer: 10110100000010010000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*f - 3*q + 16, 4*f - 16 = -2*q. Put 0, 3, f, -5 in descending order.\nAnswer: f, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32662 (base 9) to base 4\nAnswer: 11102303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 89, -3, 4, -5, -305, 2\/15?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0, 455 in ascending order.\nAnswer: -4, 0, 3, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188597803 to the nearest integer?\nAnswer: 13733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 50218?\nAnswer: -50221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43, -83, -113, -127, -119, -83, -13?\n\"Answer: d**3 - d**2 - 44*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from {r: 1, s: 1, a: 1, v: 1, j: 2, o: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11523000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 8*m + 1. What is h(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47541 - 30866. What are the prime factors of l?\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1254\/(-741))\/((-2)\/(-65))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14)\/30*330\/20 and -43\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 378\/(-90) - 17673\/(-215).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1620, 13688, 46654, 110964, 217064, 375400, 596418?\nAnswer: 890564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 7984152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 121561 (b) 0.21 (c) 4 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1. Let w(m) = 2*m - 8. Let o(x) = 8*u(x) - w(x). Let s(n) = -32*n**2. What is s(o(j))?\nAnswer: -128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 - -6?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*g = -423*g + 40 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-11)\/44)\/(-21)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 34. Let z(q) = 1041*q + 479. Determine 14*x(u) + z(u).\nAnswer: 1055*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-420)\/45*(95\/5 - 16).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i + 15. Let q be h(-3). Let l be 2*(0 - 0 - -1). Solve -p - l*p = q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(3 - 2) + 42. Suppose -u + 23 = -2. Let t = f - u. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u + 2. Suppose 2*k - 2 = 2*d - 12, 3*d - 4*k = 15. Calculate the remainder when r(d) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71529402 to the power of 1\/2, to the nearest integer?\nAnswer: 8458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3504 times 0.5?\nAnswer: -1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 800\/60*(-9)\/4. Let d = 32 + n. Is ((-993)\/9)\/(d\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -172 + 172 + 16*l. Let b(v) = 2*v. Determine n(b(k)).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 2*l - 620. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 404220213 (base 5) to base 10\nAnswer: 1632558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71\/10 + -15\/2. Let l = -3 + 2. Put h, -2\/7, l in descending order.\nAnswer: -2\/7, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*p - 1. Let h(m) = 55*m**2 - 210*m. Let f(o) = 5*o**2 - 19*o. Let z(c) = p*h(c) - 45*f(c). Factor z(b).\nAnswer: -5*b*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -11 + 1)*-2. Suppose -2*m - 11*q + s = -13*q, -2*m + 4*q = -26. What is the smallest common multiple of 8 and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-24)*2)\/(5\/(-30)). Suppose -2814 + 92 = -s*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(18\/(-7))*5*(-384)\/1680?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/139, -3\/5, -9, -2\/13, -2 in ascending order.\nAnswer: -9, -2, -3\/5, -2\/13, -4\/139, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137.37 + 122.356. What is b rounded to one dp?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(4\/9)*f**(-3)*f*f\/f**(1\/3)*f**(-1)*(f\/f**(-1)*(f**(-1\/9)*f)\/f)\/((f**(2\/15)*f*f)\/f**(-3)) assuming f is positive.\nAnswer: f**(-226\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 k, and 1 y when four letters picked without replacement from {y: 3, s: 5, k: 1, e: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 18 = -8*j + 5*q, -2*q + 6 = -2*j. Is -0.0046 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.85 in 17, 5, 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-63)\/189*2718*(-1)\/5. Let m = z + -2077\/10. Find the common denominator of 0 + (-3 - 240\/(-33)) and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -192, 383.\nAnswer: -192, -166, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 47. Solve i*r + r = 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 218 = -242 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**3 + 3130*s**2 - 5*s - 3130 = 0. Calculate s.\nAnswer: -626, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/50)\/(6\/30)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 29. Let t be l(8). Solve -t*m + 10 = 0, -4*m - 3 = 3*d + 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196927113 rounded to the nearest one million?\nAnswer: 197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - k + 0*k)*(-256*k - 205*k - 378 + 376) as p + a*k**2 + q*k and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1178, -1524 in ascending order.\nAnswer: -1524, -5, 1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3904?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104702794 + -71252794. What is n rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 391*b + 98. Let s(h) = 78*h + 20. Let w(d) = -11*s(d) + 2*u(d). What are the prime factors of w(-5)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 111*r - 651 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b - 14. Let z(g) = 1. Let j(m) = -u(m) - 3*z(m). Let p(q) be the second derivative of -q**3\/2 + 2*q**2 + 6*q. Determine -4*j(x) + 11*p(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/(3230\/1463)*(-28)\/(-22).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2022*h - 54 = -2028*h. What is the greatest common divisor of h and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -17, -7, 17, 61, 131?\n\"Answer: k**3 - 2*k**2 + k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 - -2626. Let k(w) = y*w + w**2 - 2786*w. Let o(j) = -3. Let n(m) = -9*m + 189. Let u(x) = 3*n(x) + 189*o(x). Give k(u(q)).\nAnswer: 729*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 5268 = 92*u + 355*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250689807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 70*o**3 - 5*o**2 + 70*o = 0.\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 62911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, r: 2, l: 4}. Give prob of picking 1 r and 1 l.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.042 + 0.25789608\nAnswer: -0.78410392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m + 55 = c, -4*c - 20 = -4*m. Sort -0.1, 2\/7, -1\/3, m.\nAnswer: -1\/3, -0.1, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -v + 5*v + 574, 2*v + 2*g + 272 = 0. Let k be v\/240 - (-6)\/15. Let a = k + 5\/16. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + 2132141?\nAnswer: 2132158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.07763\nAnswer: -0.015526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 16 = -3*j + 6, 14 = 2*j - 3*s. Suppose -3 = -j*c - 23. What is the biggest value in -0.4, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/33272037 and -31\/133088148.\nAnswer: 133088148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*v*x*y**3 - 24*v*x - 7131*v*y**2 - 223427176*x*y**3 wrt v?\nAnswer: -15*x*y**3 - 24*x - 7131*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -77*i + 358. What is p(5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155692164 and 774.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 + 41237?\nAnswer: 41177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 bigger than 159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54178 and 458041?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 238035?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 96*m + 1783. What is k(70)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 6:16 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**6\/30 - 16*c**5\/15 - c**4\/6 + 32*c**3\/3 + 109*c**2 + 3*c. Suppose b(x) = 0. Calculate x.\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 2679.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-9)*1505\/430.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12818420 to the power of 1\/2, to the nearest integer?\nAnswer: 3580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 9. Suppose -4*h = -3*r + 34, 3*h + r + 29 = 5*r. Let x be g(h). Let u = -2 + x. Which is greater: u or -3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 515228.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b - 11791 = -48911. List the prime factors of b.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2671411*h**3*s**3 - 8*h**3 + 261391*h*s + 15*s**3 wrt s.\nAnswer: 16028466*h**3*s + 90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 + 1. Suppose f + 0 = -2*m + 1, 0 = 3*f + 4*m - 1. Let r be p(f). Suppose -r*z - 28 = 2*a - 3*a, -a - 3*z + 4 = 0. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 23. Let r = -891\/2 - -458. Let j = 121\/10 - r. What is the third smallest value in d, -19, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9551 is divided by 354.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40151, -39960, -39769, -39578, -39387?\nAnswer: -39196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4*-1*-4. Let q be ((-2)\/(-5))\/((-2)\/10). Let k be 0\/q + (h - -4). Solve -2*t = 5*f - k, 4*f - 3 = -3*t + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 2*h + 8*h + 5*h)*(-888 + 4*h**3 + 417 + 411) to the form o*h**4 + g*h**3 + i + q*h**2 + l*h and give l.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 7:52 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15691 is divided by 365.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0) + 7 - 2. Suppose i*p = -2*z - 1 + 9, 4*z = -4. Let u = 227\/2 - 111. Does p = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 21*o**3 - 2*o - 3. Let f be s(-1). Let t be -3 + 26\/f + 8\/44. Let i = -0.18 - 0.22. What is the smallest value in i, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7470 divided by -2490.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -1012?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let g(a) = -14729722*a. Determine t(g(s)).\nAnswer: -29459444*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4 + 812*u**3\/5 + 874*u**2 - 5172*u\/5 = 0. Calculate u.\nAnswer: -6, 0, 1, 431\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2 - 3.2. Which is the third biggest value? (a) 5 (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**3 + 432*t**2 + 1323*t = 0.\nAnswer: -3, 0, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 8*n + 10. What is the remainder when 18 is divided by g(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 = -6*m + 8*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-928)\/(-252) - (-20)\/35?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96531407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**2*z**4 - t**2*z**3 - 3*t**2*z**2 + 53*t*z**4 + 47*t*z**2 wrt z?\nAnswer: 48*t**2*z - 6*t**2 + 1272*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1877 + 91 = 39*w - 203*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**6\/80 + 139*s**5\/90 + 31*s**4\/36 - 1551*s**2. Find h such that w(h) = 0.\nAnswer: -2\/9, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/19 (b) -2\/3 (c) -2\/13 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 3*i**2 + i + 2. Let v be x(2). Suppose 4*h - v = 3*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7275, 2, 0.\nAnswer: -0.7275, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhnnhggggh. Give prob of sequence ggn.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -371*r - 1. Let u be f(-1). Let w = 2\/2269 + 93023\/6807. Calculate the common denominator of w and 4\/80*u\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 11*d**2 - 11*d + 13. Let y be g(10). Let u(q) = -8*q. Let n(s) = -s - 1. Let a(i) = 4*n(i) - u(i). Calculate a(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -9545?\nAnswer: 9544.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 18473 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154046*f**3 - 607929 wrt f.\nAnswer: -462138*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103369 at most as big as 103392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-14 - (-7 + 3)). Which is the second smallest value? (a) 20 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-128)\/4)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*y + 48*y + 24 = 8*w - 48*y, 0 = -y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14*n. Suppose -5*i + 5401 = 4*y, -3*y - y + 5392 = -4*i. Let g(b) = -677*b - 673*b + y*b. Determine g(j(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 10 - ((-14)\/7)\/(-2). Suppose c*t = t + 1422. What are the prime factors of t?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.7 - 10.81. Let f = 1.79 - v. Sort 1.1, f, -3\/4 in descending order.\nAnswer: 1.1, f, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/7 - 1 - 22\/77. Solve j*z = -4*w - 4, 5*w + 4 = 4*z - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/3744 and 131\/33048.\nAnswer: 1718496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 666*f**2 + 2324*f + 661377. Calculate u(-664).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 185 or 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/5 - 2056*s**3\/5 + 43122*s**2\/5 + 1254376*s\/5 - 1115072 = 0.\nAnswer: -1048, -19, 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 7*x. Let n(r) be the third derivative of 0 + 0*r - 1\/4*r**4 + 1\/60*r**5 + 0*r**3 + r**2. What is -4*g(m) - 5*n(m)?\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 35.\nAnswer: -3, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592003994 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 965550 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 116\/20)\/(-1). Which is the closest to 0? (a) z (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2022 (base 3) to base 16\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -15*m**2\/2 - m + 2. Let y be u(-1). Suppose -3*z = -y + 2. Solve -3 + 7 = i, z*v - i = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*t = -36 + 26, 3*t = 5*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4\/2 - 9*h**3 - 27*h**2\/2 + 21*h = 0 for h.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*o - 20*o + o**2 - 10*o - 23*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07 and -0.4132.\nAnswer: -0.3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 + -2)\/2)\/(119\/68)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88952441731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**2\/2 + 2*s - 14. Let z be f(-4). Sort -1, -3\/7, z in decreasing order.\nAnswer: -3\/7, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29870188 + 29870188 - 23*g.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*w**4 + 8 - 2*w**4 + 1 + 11*w**4 wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6))**13*(y**27)**(-33) assuming y is positive.\nAnswer: y**(-5359\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**5\/60 + 5*k**4\/24 - k**3\/3 - 7*k**2. What is f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2878 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*v + 339*v = -10, 7 = 3*k - 5*v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(10) + 1*sqrt(160)))\/(-2*(sqrt(2) - sqrt(2)*1) - sqrt(6)\/sqrt(3)*4)*3.\nAnswer: -3*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13281\/38*2\/3 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 217824.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + n + 3*n)*(3 - 5 + 0) - 3*n + 4*n - 3*n + 4*n - 2*n + 5*n to the form m*n + u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 221 - 341 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37.19 times 0.5\nAnswer: 18.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(300)*5 - sqrt(300))\/sqrt(6))\/(sqrt(70)\/(sqrt(7)*3)*-5).\nAnswer: 18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/49)\/((332 - 335)*4\/42)*7\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14512 rounded to three decimal places?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 18 = -6*g. Let r = -17 - -20. Find s such that 2*s**r + 3 + 7 - g + 6*s**2 + 2*s**2 + 10*s = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 5*d - 8*d. Suppose 3*t = 5*x + d, 0*x + 5 = t - x. Suppose 5*r = t, v = 4*r - r. Solve 16 = -v*f + f - 4*y, 0 = 4*f - y + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -1743.1431028?\nAnswer: -1742.7431028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49371.\nAnswer: 3, 7, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -13 + 3*k**2 + 222*k - 17 - 224*k. Determine a(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4 + 9 = w, 4*w - 9*a = -12*a + 43 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5171820 or 5171821?\nAnswer: 5171820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 667 - p + 669. Let t(l) = l**3 + 6*l**2 - l - 4. Let b be t(-5). Let c = b - 29. Determine x(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4 - 61*k**3 - 396*k**2?\nAnswer: -48*k - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -366*n - 5*n**3 + 1 - 1 + 4 + 364*n to h*n**3 + u*n + t + y*n**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537*v**3 - 365*v**3 + 2*v + 0*v - 5*v.\nAnswer: 172*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 + 5*g**2 + 3*g**2)*(7*g - 13*g - 3*g)*(0 - 2 + 1)*(3 - 2 + 1) as p + i*g**2 + m*g**3 + r*g and give m.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 753710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/147, -4, 3\/5 in descending order.\nAnswer: 3\/5, 2\/147, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -1\/4, -45\/2, -3, 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 548 - 550. Put -0.1, 1\/2, y, -2\/137 in descending order.\nAnswer: 1\/2, -2\/137, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13*a**2 - 2. Let z be s(-1). What is the common denominator of (117\/(-2) - 3)\/(-12 - z) and -43\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 15. Put -3, 4\/3, c in ascending order.\nAnswer: -3, 4\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 0 - (-16 - -13 - (-2 - -15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t - 4. Let v(b) = -b + 3. What is u(i) + 3*v(i)?\nAnswer: 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + -2 - (25 - -1 - 22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzsszz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)\/(b**(2\/3)*b) assuming b is positive.\nAnswer: b**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -54, 10, 124, 282, 478, 706, 960?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + j - 1. Let q be n(3). Suppose -r - 1 = 5. Let l be 1\/((r\/(-10))\/3). Solve 3*v + l*y - q = 0, -2*v - 24 = -6*v - 3*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6215 - -21311. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/78 and -89\/468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064 = 10*l - 376. What is the highest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*q - 0*q. Let z(g) = g**3 + 5*g**2 - 10*g - 24. Let c be z(-6). Let j be c\/(q\/2) - 23. Which is bigger: -24 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 10. Let d be w(6). Suppose -14 = -4*h + 6, d*z - 5*h + 41 = 0. Let q = 20 - 25. Sort 3, z, q.\nAnswer: q, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x**3 + x**2 - 4*x - 1. What is the tens digit of k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 158, 174, 196, 224, 258, 298?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**4 - 10186*j**3 + 25948833*j**2 - 51867112*j + 25928464 = 0.\nAnswer: 1, 5092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*u + 2, 4*u + 0*u = 5*f + 24. Let m = f - -6. Suppose m*k - 5*k = -9. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35197506.\nAnswer: 2, 3, 1955417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, k: 1}. Give prob of sequence ki.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 311 + -1?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p - 2*i + 6, -5*i = 3*p - 31. Put p, 3, -3, -15 in decreasing order.\nAnswer: 3, p, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5812523 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4404 + 1364 - 1665 - 1536 + 1220 - m.\nAnswer: -m - 5021","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3170822975 to the nearest integer?\nAnswer: 56310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 e when three letters picked without replacement from eeeeeeeeeeeereeeeee.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/((-54)\/39))\/(22\/66).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 9731813?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 30 - 48 = 0. Let m(c) = -c**3 - 7*c**2 - 3*c + 8. Give m(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1\/(-5))\/(12\/15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = v. Suppose -v*i + 3 = -5. Solve -m + 3*n - 10 = 0, m + i*n = -0*m + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 21\/15 + 1. Factor 0 + 2\/5*z - s*z**2.\nAnswer: -2*z*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -853 and -3\/196 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1762.48323*5\nAnswer: -8812.41615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -14 (c) 72 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87362897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Suppose 0*c - t*c = -45. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6405 - 6400. What is the highest common factor of r and 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -228 - -1144. Let l = i - 817.6. Let n = l + -99. Sort n, -0.1, -2\/17 in descending order.\nAnswer: -0.1, -2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 9:33 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3200.6 - -3200.42. What is the closest to -3\/2 in -2\/19, v, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 15, u: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**5 + 21*u**4 + 6*u**3 - 120*u**2 = 0. What is u?\nAnswer: -5, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9416 and 8949908.\nAnswer: 17899816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/17 in -4\/7, 0.4, 0.059?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.000165 - 26. What is w rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/305 and -119\/40870.\nAnswer: 40870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 3\/2*y**2 + 3\/2*y**3 + 12 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 64*x. Let y(a) = -140*a + 27. Calculate 6*j(d) + y(d).\nAnswer: 244*d + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = 0. Let n(p) = -2 + p**2 + g*p**2 + 7*p + 3*p**2 - 5*p**2. Calculate n(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2142922, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23948162 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -458070, -458088, -458140, -458244, -458418?\n\"Answer: -3*l**3 + l**2 - 458068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 5*r**2 - 7*r - 7. What is b(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(16)\/(2*sqrt(8) - sqrt(8)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 918 + -11b39?\nAnswer: -11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 73.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 14*j**2 - 223*j + 1272. Calculate q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*(-12)\/24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*c + 7, -4*d = 3*c - 0*c - 17. Find the third derivative of a**2 + 2*a**3 - a**2 + a**d wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:12 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31907391371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40\/50*-5 + 2605?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 50. Suppose -5*h - w = -h. Let j = 216.08 - 216. What is the closest to 1 in j, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342a2b (base 13) to base 12.\nAnswer: 4b6318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6385558747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 7*m + 1. Let g be (-3 - -2)*9\/(-9). Let b(t) = -t**2 - 1. Let v(l) = g*i(l) + 3*b(l). Factor v(u).\nAnswer: -(u - 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 10) to base 13\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 46. Let u be h(-22). Let y(r) = 48*r**2 + 5*r. What is the units digit of y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = k - 0*p - 15, -2*k + 4*p = -20. Suppose o = 2*o + 2. What is the remainder when 22 is divided by ((-8)\/k)\/(o\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.9 times -4?\nAnswer: -155.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - q + 4. Let p be (3\/(-9))\/(q\/3). Let s be 13\/1 + -3 + 1. Solve -3*k = p + s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033.903087 rounded to one decimal place?\nAnswer: -1033.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00434073441 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6706 is divided by 3319.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 1, p: 2, y: 3}. What is prob of picking 1 d and 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82937 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 64*r + 28. Let x(o) = 7*o + 3. Let l(m) = -3*b(m) + 28*x(m). Let y(c) = -18*c. Calculate y(l(s)).\nAnswer: -72*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, 1, -18.04, 77 in descending order.\nAnswer: 77, 5, 1, -0.1, -18.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5)*-2 - sqrt(275)*-1)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -1. Let n = 22 + -21.7. Let v = l - n. Which is the second smallest value? (a) -5 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 11) to base 13.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2749538925+-350\nAnswer: 2749538575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/3 + 4306*h**2\/3 - 56880*h = 0. What is h?\nAnswer: 0, 40, 4266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, 2\/7, -2533, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 18.\nAnswer: -4, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-445)\/(-145) + 268\/(-3886). Solve k = -4*k + 2*u + 15, i*u + 3 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -16104\nAnswer: -8052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 80*x - 740. Let v be y(16). Solve 44 - v = 8*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50842103*u**3*w**3 + 2254*u**3*w**2 + 3838*u wrt w?\nAnswer: 305052618*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16033225 (base 7) to base 3.\nAnswer: 2220010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5746425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56\/159 or 1?\nAnswer: 56\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 70 = -4*i, 7*i + 82 = 2*i + w. Let u(y) = -y**3 - 16*y**2 - 2*y - 24. What is the smallest common multiple of u(i) and 34?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*p - 8579 = -26*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 2*f - 4*s - 107, -12*f + 0*s - 5*s + 3*s = -65*f + 107 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqcnnjcjqnjcqjnj. What is prob of picking 1 j and 1 c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.166 - -44. Let t = 26.134 - s. Round t to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 19. Suppose 40 = 8*r - 3*r. What is the remainder when r is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1940 and -1\/17460?\nAnswer: 17460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 7470 = -189. What is the lowest common multiple of q and 92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i = -87*i + 781144. What are the prime factors of i?\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.3 (b) -4 (c) 89 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/73129733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/(254\/(-635))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*k**3 + 11 - 12 + k + 21*k**3 - k + k as r*k**3 + z*k**2 + c + d*k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/8*c + 9\/8*c**2 - 15\/4.\nAnswer: 3*(c - 1)*(3*c + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33641 - 6233?\nAnswer: -43204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyuyemmmekelle. Give prob of sequence lky.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -3, 2, -1, 1 in descending order.\nAnswer: 2, 1, -1, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-6 - 10) - -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-24))\/(1\/(-2)). Let o be (-189)\/(-4914) - 1362\/(-1092). What is the third biggest value in o, z, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/292 or 0?\nAnswer: -3\/292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690233058.\nAnswer: 2, 17, 397, 125221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 306*f**2 - 57*f - 2. What is the remainder when t(-4) is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*y**2 - 21*y**2 + 499*y**2.\nAnswer: 1037*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, -42, 22, 5, -2 in decreasing order.\nAnswer: 94, 22, 5, -2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnncnccndd. Give prob of picking 1 n and 1 c.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*j + j**3 + 75 + 21*j + 0*j**3 + 0*j + 3*j**3 to v*j + m + n*j**2 + w*j**3 and give m.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14284 = -199*g - 209*g - 98*g - 116 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/((g*g**(8\/7))\/g)*g*g*g*(g**(-1\/9)\/g)\/g*g**(1\/8)*g*(g\/g**(-2\/5))\/g assuming g is positive.\nAnswer: g**(8243\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + i**4 - i + (139 - 313 + 151 - 4*i)*(-i**3 + 0*i**3 + 0*i**3).\nAnswer: 5*i**4 + 23*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -107\/10 (c) -0.4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2\/1713 (c) -3.99 (d) -3\/5 (e) -8\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12808 is divided by 6392.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 3\/5 (b) 0.3 (c) -497\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22800 and 4712?\nAnswer: 706800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = a - 5*a. Let q = 68 - a. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 54*p**3 + 3*p - 35. Let z(a) = -163*a**3 - 8*a + 105. Let b(l) = -8*c(l) - 3*z(l). Differentiate b(d) wrt d.\nAnswer: 171*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2516 - -5716. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-13)\/(-9) + (162\/6 - 32)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1258178644 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:00 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let x(f) = 6*f - 3. Let g(v) = -x(v) + 5*y(v). Let i be (-2)\/(-3) - (-3026)\/51. Let l be 405\/i - (-1)\/4. Determine g(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hththththhvthtththt. What is prob of sequence hv?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 229258048 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 5*x - 3*x. Give j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*1\/(-5))\/(-2). Let h be (1*2\/4)\/(384\/(-832)). Let r = h - -5\/6. What is the third biggest value in g, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/11 + 304*m**2\/11 + 55014*m\/11 - 8393292\/11.\nAnswer: -2*(m - 159)**2*(m + 166)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 3*m - r + 189, 4*r = 4*m - 268. Round m to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 13*o = 74692, -27983 = -5*x + o + 46661. Is 48 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 791229.\nAnswer: -4, 2, 791229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z\/(z*z\/z**12))\/z)))\/(z\/(z\/(z**3*z))))\/(z**1*z**32) assuming z is positive.\nAnswer: z**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 9*p**2 - 2*p + 3. Let j(r) = 2*r + 5. Let o be j(-7). Let x be l(o). Let g = -15 + x. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90776608?\nAnswer: 2, 13, 218213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 5*l + 9. Determine m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165560526*o**3 - 375924220 with respect to o.\nAnswer: 496681578*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 504*z - 1778*z - 392 - 271 - 774 wrt z?\nAnswer: -1274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/1*((-4)\/(-20))\/((-708)\/36580).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 32 = 28. Let i be (t\/(-1))\/(4\/2). What is the greatest common factor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -2. Find the second derivative of 0*k**3 - 3*k + 9*k**2 - t*k**3 - 9*k**2 wrt k.\nAnswer: -66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 41. Let f be 8\/(-16) + (-3)\/(-6). Suppose f*a = -2*a + 6. Solve n - d*z - a = 0, 7*n - 2*n = 3*z + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/3*4\/(-20). Solve r = -9*n - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*z - 24, 0 = 4*z - 5*x - 12. Let r(y) = -5*y + 6. Let v be r(z). Let o = v + 52. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**3 + 17*o**3 - 6*o**3 - 5*o**2 + 2*o**3 + 5*o**2 + (o - 3*o - o)*(o**2 - 4*o**2 + o**2) to z*o**2 + g*o + a*o**3 + y and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let i = 1 + r. Let d = -3.4 + i. What is the closest to -1 in -2, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.108 + -0.038. Let b = t - 1.07. What is the nearest to 1 in 0.1, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2559.99983088 - 2560. What is q rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1344 is divided by 268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1033 (b) -2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 17. Suppose -t = -2*x - 2*o, -4*x + 10 = -3*o + 3. Let m = x - -1. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043 less than 35?\nAnswer: 35.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 5 - 29 = 0. Solve 20 = w*y - 8*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i. Let w(x) = -1405*x**2 - 3. Determine r(w(z)).\nAnswer: 2810*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/15))\/p**(-20))\/((p*p**(-1\/26)\/p)\/(p\/(p**(-11)\/p))) assuming p is positive.\nAnswer: p**(13223\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24141 divided by 3.\nAnswer: -8047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 10 = -9*o. Suppose 0 = 5*r - i + 9, -4*r - 20 = 2*i - 6*i. Do r and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/12 - (-572)\/24. Suppose 0 = 2*v - 16 + n. Let g = 42 + v. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23502588 (base 9) to base 11\nAnswer: 6516173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2866 divided by -278389?\nAnswer: 2866\/278389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 120 = -9*r. Suppose -b + 6*b = -r, -5*c - 4*b = 16. Which is greater: -4\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - 4 + 4 + (-3 - 2 + 4)*(3*p + 0*p - 4*p))*(2*p - 5*p + p)*(-2 + 5 - 5 + 4*p) in the form b*p + n*p**3 + d*p**2 + f and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 35 (b) 7 (c) -4 (d) -0.045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 59*b**6\/6 + 36*b**2 - 44. What is the second derivative of i(o) wrt o?\nAnswer: 1180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - 163. Solve l*v - 10 = -0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**8\/43680 - a**7\/8190 - a**6\/4680 + a**4\/2 - 4*a**2. Let n(l) be the second derivative of j(l). Factor n(p).\nAnswer: -2*p*(p + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 463640?\nAnswer: 6027320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v - 8. Suppose 2*a + 56 = v*f + 3*a, 0 = 5*f - 5*a - 95. Let w(d) = -24*d + f*d + 11*d. Let n(u) = 5*u. Calculate n(w(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*15\/40\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/21 and 71\/8313.\nAnswer: 58191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -26\/7, 1, 5, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -348031?\nAnswer: -348027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -75. Let r be (-60)\/45*c\/12. Factor 0*g + 0 - r*g**4 - 1\/9*g**2 - 2\/9*g**3.\nAnswer: -g**2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 943428 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 3*n**2 + 3. Let t(x) = -x. What is b(t(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 34*o - 33188. What is b(-166)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(2*sqrt(810))*-2 + ((sqrt(833)*1*-2)**2 - 1*(sqrt(833) + -1)).\nAnswer: -64*sqrt(17)\/9 + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65701437 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 179*j - 179 - 179 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4\/7 + 513696*b**3\/7 - 10272228*b**2\/7 - 11813336*b\/7 + 3081696 = 0 for b.\nAnswer: -2, 1, 21, 128404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/34 + 224\/119. Let k be ((-148)\/(-6))\/(-2*f\/(-6)). Suppose -3*s + 87 = -3*z, 5*s = 4*s + 3*z + k. Solve -w + s = -6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-28)*((-28)\/(-4))\/1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 131, 138, 131, 104, 51, -34?\n\"Answer: -z**3 - z**2 + 17*z + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(200) - (sqrt(200) + -2 + sqrt(200))) + 1 + 1 + (sqrt(200) - (-4 + sqrt(200)))*3 + -2.\nAnswer: -10*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/3)\/(2\/2). Is 9 a factor of -2 - -1 - i*-28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 + 0*o**2 + 3*o**2)*(-3*o + 3*o + o) + (-2*o - o + 6*o)*(0*o**2 - 2*o**2 + 5*o**2) to the form w*o + m*o**2 + n + z*o**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 - 4*o + 6. Let x(t) = -12*t**2 - 11*t + 17. Calculate -11*h(d) + 4*x(d).\nAnswer: -4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 + 0 = 0. Suppose 0 = -2*x - f*x + 28. What is the remainder when x is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2591074146 to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 208200817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70639, 71036, 71433?\nAnswer: 71830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*p**3 + 114698653*b**3*p - 37*b*p**3 + b + 8*p**3 + 295*p**2 wrt b?\nAnswer: 12*b*p**3 + 688191918*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 0.03 (c) 3\/2 (d) 48\/67 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 13 = -0*n - 2*i, 3*i + 3 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*n - 6, -2*c - 2*n = -3 + 7. Suppose -l + c + 0 = 0. Solve -2\/3 + 2*r + 8\/3*r**l = 0 for r.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2086948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66387*z**2 + 132679*z**2 + 314*z - 66309*z**2 - 314*z.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -78*b**7\/7 - 36*b**5\/5 - b**3\/3 + 1289*b**2 + 1323. Find the third derivative of x(a) wrt a.\nAnswer: -9360*a**3 - 864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 0, -25\/3, -0.23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-648))\/((-2)\/(-9)))\/(3\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757 (base 9) in base 14?\nAnswer: 6c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291 - 102. Suppose 8471*r = 8566*r - 7695. Calculate the greatest common factor of r and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43135, -44165, -46971, -52441, -61463, -74925?\n\"Answer: -148*r**3 + 6*r - 42993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139993.\nAnswer: 1139993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189448 and 122584?\nAnswer: 2083928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/364, -6.23 in descending order.\nAnswer: 5, -1\/364, -6.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1055\/6 + 358\/3. Let u = 821\/14 + k. Which is smaller: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2904001 is divided by 70828.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 4*q**2 + q. Let l(k) = -k**2 - k. Suppose -2*a - 16 = -4*p + a, 5 = -3*p - 2*a. Suppose 9 = 9*s - 6*s. Determine p*c(r) + s*l(r).\nAnswer: 2*r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25318 - 25318.1. Let r be 0 + 1 - 15\/18. Which is the fourth smallest value? (a) -2\/7 (b) 7 (c) r (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5.4. Let o be (-16)\/24 - 8\/(-3). What is the biggest value in 2\/9, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 2*d - 29. What is m(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g**4\/2 - 1133*g**3\/6 + 575*g**2\/3 - 28*g\/3 = 0. What is g?\nAnswer: 0, 2\/39, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**1\/g))**36)**(-2\/123)\/(g**(1\/10)\/g**(1\/2)*g**(-2)\/(g**(-2\/3)\/g)) assuming g is positive.\nAnswer: g**(91\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffl when three letters picked without replacement from {l: 3, f: 15}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00554719486 rounded to five decimal places?\nAnswer: 0.00555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - (-1183)\/21. Suppose -4*s + z = -203. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -53. Suppose -7*m + 6*m = -f. Suppose -11*p - 356 = -m*p. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 9*z**2 - 21 - 1\/2*z**3 - 54*z. Factor a(v).\nAnswer: -3*(v - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**2 - f - 2. Let n be b(3). Let c = 74 - 79. Sort n, 4, c in increasing order.\nAnswer: c, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/(-24))\/(3\/(-9)*-1). Let d = -2 - u. Let m(j) = -11 + 2*j**2 + 4*j + 8 - 3*j**2. Determine m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -14) + 28 - 14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28\/249 + -2383\/2739. Find the common denominator of -1\/18 and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/14 and ((-109)\/45)\/((-16)\/20).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1432*k**2 - 937*k**2 - 501*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/50*145\/(12\/(66\/(11\/1))).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x**2 + 6*x. Let l be t(-3). Let o be (-476)\/(-221) + (-4)\/26. Suppose o*h - 150 = -3*h. Calculate the highest common factor of h and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39937 is divided by 397.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 236*d**2 - 945*d + 9. Calculate c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7642 = -1993*f + 1663 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 895763.7 milligrams?\nAnswer: 895763700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0384 and 0.1.\nAnswer: 0.1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 128*j + 933. Calculate h(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*q**4 - 745*q**3*u*v + 13*q**3*v - 2*q*u + q*v - 3*q - 11*u*v + 28*u - 2 wrt q?\nAnswer: 312*q**2 - 4470*q*u*v + 78*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -509, -3, -4, 4 in ascending order.\nAnswer: -509, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -58, -40, -4, 56, 146?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - (-26 + 23)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9442222 days to microseconds.\nAnswer: 81580798080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*a + 48. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110.06 - -108. Let h = f - -0.06. What is the closest to -0.1 in h, 3\/2, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51.3 + 2.8. Let g = t + 48.8. Which is the nearest to 0? (a) 0 (b) g (c) 0.11 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 26c64?\nAnswer: 26c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18769 is divided by 6219.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 413072732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1708 + 855 + 853 + 0*u**2 + u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n - 5. Let z(u) = -1. Let o(j) = -j - 4. Let x(v) = -2*o(v) + 4*z(v). Calculate 2*g(l) + 3*x(l).\nAnswer: 2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -659 + 755. Let p(o) = -o**2 + 7*o - 8. Let n be p(1). Sort 0, t, n in ascending order.\nAnswer: t, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 104*r - 475. What is the smallest common multiple of 2588 and y(5)?\nAnswer: 12940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 27 + 9 = 0. Let u = f - 3. Calculate the remainder when u is divided by 89\/22 - (-39)\/(-858).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/(-10) - (-27)\/((-1215)\/(-18)). Let u be (-3)\/(-6) + (-21)\/34. Which is the third smallest value? (a) 0.3 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139056 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-6 - -2)) + (14 - 19) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s. Let k(u) = 13682*u. Give i(k(r)).\nAnswer: -41046*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 191 divided by -21592\nAnswer: -191\/21592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969470 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 551b2?\nAnswer: 551b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Let d(q) be the third derivative of 145*q**4\/24 - 6*q**2 - q. Give d(s(w)).\nAnswer: -435*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22418 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -2, 4, 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-966)\/924 - (-2)\/4\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*sqrt(108) - (sqrt(12) - (sqrt(12) - -2*(sqrt(108))**2)).\nAnswer: -18*sqrt(3) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r**2 - 8*r**2 - 11*r**2 + (-2*r + 2*r + r)*(0 + 0 - r))*(0 - 1 - 1) to the form j + a*r**2 + h*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -62. Let v(t) = t**2 + 573*t + 30329. Let z be v(-59). Solve -14 = n + 2*p, 0 = -n + z*p + c - 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3013415 and -35.5.\nAnswer: 106976232.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 1102?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9184523?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l + 1. Let t(g) = 4*g - 1. Let a(h) = 6*t(h) + 5*u(h). Let w(j) be the second derivative of 8\/3*j**3 + 34 + 3*j + 6*j**2. What is 12*a(n) + w(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:09 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/9 - -8\/9. Let v(r) be the third derivative of -k*r**3 + 0 - 1\/20*r**5 - 1\/8*r**4 - 1\/120*r**6 + 3*r**2 + 0*r. Give v(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Let x = 4 + -2. Let d(r) = 4*r**2 - r**2 - 2*r**x. Calculate d(j(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3082029 + 1549971. What is v rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361, -3257, -11209, -26773, -52505?\nAnswer: -90961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 18)*((-1 + 1 + d)*(d - d + 2*d) - 3*d**2 - 8*d**2 + 2*d**2) as n*d**2 + l + j*d and give n.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246666 and 16743084.\nAnswer: 5034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, o: 4, e: 6}. What is prob of picking 2 o and 2 d?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 3*k + 3. Let r be w(2). Let d(f) = 9*f - 1. What is d(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 135 in -1\/4, 7, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9752768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7) + (-194 - -191)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 3*z**2 + 2*z + 172. Let j(i) = -2*i**2 + i + 174. Let o(n) = 3*j(n) - 2*q(n). Differentiate o(t) wrt t.\nAnswer: -6*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*r = -h + 19, 2*h = -5*r - 18. Let o = 8 + h. Solve 2*u + 3 = o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 2*k**2 + 4*k + 1. Let p be g(3). Let v(i) = -64*i**2 - i + 65*i**2 + 2 - 3*i. Let z be v(p). Let u(a) = a**3 - 3*a**2 + 2*a. What is u(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -107*k. Let r(u) = u**2 - 13. Calculate g(r(m)).\nAnswer: -107*m**2 + 1391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -i + 3*i + 6, -4*v = -8. Let b(u) = -2*u + 1. What is b(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 1. Let g(l) = -l**2 + 7*l - 7. Let k be g(7). Let m be x(k). Let s = m + -13. Solve -18 = 3*t - 5*t - 2*c, -s*t + 3*c = 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 856105?\nAnswer: 18834310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 10*h**2 - 52*h + 30. Suppose 6*b + 14*b = -440. Is o(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Factor l + 11*l - 7*l - 5*l**3 - 5 + 5*l**2 + d*l.\nAnswer: -5*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - h = 10*i - 11, 0 = 2*i - h - 9. Let y(t) = t**3 + 5*t**2 - 2. What is the smallest common multiple of y(-2) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 34 = 4. Let f = a - -4. Let h be f\/(-12)*10\/1. Solve h*k = -3*i - 5, -5*i = -0*k - k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.860108 to 0 dps.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -119?\nAnswer: -30\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 5*u**2 - 184. Suppose -2*l = 2*l - 16. Let d(o) = -4*o + l*o + o**2. Determine w(d(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7982.336 kilograms in milligrams?\nAnswer: 7982336000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22370 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 391 divided by 31\nAnswer: 391\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - 3*a**2 + 3*a**2 + (-a**4 + 3*a**4 - a**4)*(2 + 3 - 4) - 6*a**3 + a**4 + 6*a**3 to s*a + p*a**3 + k*a**2 + y*a**4 + o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 129?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -10288*n**2 + 144*n + 151. Let d(y) = -5144*y**2 + 72*y + 65. Let z(i) = 2*b(i) - 5*d(i). What is the second derivative of z(q) wrt q?\nAnswer: 10288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 4*w - 3*w + (0*w + 2*w - 4*w)*(-1 + 3 - 4) + 0 + 2*w + 0 - 2*w + 0*w + 3*w + (3*w + w - 3*w)*(2 - 2 - 1) + 0*w + 2*w - 3*w - 3*w + 2*w + 4*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2440 + 4?\nAnswer: 2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnn when three letters picked without replacement from mknnnmmm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 9448472 to the nearest 10000.\nAnswer: 9450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144827 (base 10) to base 9.\nAnswer: -240588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118045 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8f6 (base 16) to base 5\nAnswer: -33134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 - (25 + -16 + (-6 - -6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/6*(-2960)\/220. Let c(j) = -j**3 + 9*j**2 + 7*j - 2. Let d be c(8). Let h = a + d. Calculate the greatest common divisor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/18)*t**(4\/15)*t)**(-2\/49) assuming t is positive.\nAnswer: t**(-17\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 6*y - 28296. Let m = -40\/49 + -927\/245. What is the common denominator of (y\/(-80))\/3 + (-8)\/(-40) and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 334 + -332. Suppose -37 = -3*d + q*i, -3*d - 18*i = -22*i - 41. Solve 0 = -12*y + d*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (544\/((-48)\/3))\/((-16)\/(-56)*-7)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*p - 483 + 43. What is the least common multiple of p and 77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/((-10)\/(360\/(-12)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xix when three letters picked without replacement from xxxiiixxxxx?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 329021*r**2*v**3 - r*v**3 - r*v**2 + 6*v**3 + 6*v - 152415 wrt r?\nAnswer: 658042*r*v**3 - v**3 - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12 = 72*s - 74*s, 2*s - 5*o - 12 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2746, 1608, 470, -668, -1806, -2944?\n\"Answer: -1138*d + 3884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6425 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 299*b + 75082. What is w(-252)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 8652?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*w + 93 = 0, 5*q - 2*w = q - 124. Let i = 13 - q. What is the remainder when i is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(196) - sqrt(4)) + sqrt(38) + sqrt(152)\/sqrt(4)*4)\/(6*((sqrt(200)*1 + sqrt(200) - sqrt(200))*-1 - sqrt(200)))*1.\nAnswer: -31*sqrt(19)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-20 + 3 - -20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.789 + 23.8. Is z < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12570*a**3 + 134*a**2 + 16*a wrt a.\nAnswer: -75420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(38)\/sqrt(2))**2 - (sqrt(1216)*-3)**2)*4 - ((sqrt(513)*-2 + sqrt(57))\/(4*sqrt(27)))**2.\nAnswer: -6129115\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1. Let j be -5 - 4 - 30\/(-3). Let z(t) = 3*t**2 - 2. Calculate j*z(s) - 2*b(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11602190 and 2?\nAnswer: 11602190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 6. Suppose -5*b - 1 = -g - 5, -20 = -5*b + 5*g. Let d = 1284 + -1281. Let x(q) = d*q - 3*q - q + b*q. What is c(x(n))?\nAnswer: -n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 1 + 1)*((r - 4*r + 2*r)*(0 + 1 + 1) - 35 + r + 35 - r + 2*r - 2*r + (0 + 1 + 1)*(-5*r + 2*r + r) - 4*r + 4*r + 3*r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -162715262125652 + 162715323371026.9999972. Let n = v + -61245387. Let m = n + 12. Round m to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = r + 15, -3*r = r + 3*x + 15. Let d be (4\/(-12) + 1)*-3. Is d equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 10 = 5*u. Let w = -319 - -319.02. Put w, u, 1 in ascending order.\nAnswer: w, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 4*q + 9 - 1 + 7 = 3*q - 4, -2*q = -i + 38 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -196, 20\/7, 5?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0 + 3*d**3 - 10*d**3 + d**2 + 0 in the form j*d + r + s*d**2 + h*d**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s - 298*s - 1230 = 70*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -935 - 38*y + 935 to the form k + h*y and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -141, -1827, -3513, -5199, -6885, -8571?\n\"Answer: -1686*o + 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 w when four letters picked without replacement from {w: 5, q: 11}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {g: 3, e: 7}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 + 76.105. Round s to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1017544, -1017549, -1017554?\n\"Answer: -5*t - 1017539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.7*-0.4.\nAnswer: -13.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15729, -62836, -141327, -251202?\nAnswer: -392461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -1 - 9)*-2. Find the first derivative of 5 + a*n - 15*n + 17*n**4 - 9*n wrt n.\nAnswer: 68*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 3 + 35 + -30.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37475512, -37475513, -37475514, -37475515, -37475516, -37475517?\nAnswer: -37475518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16021 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let q = -18 + 18. Suppose q = 2*w - 1 + 11. Let z(h) = -h. Let t(g) = w*z(g) + 4*v(g). What is t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3058 = 3*b + 1641, 0 = -4*r + 5*b + 3754. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 38.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*(-210)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*c - 15 + 54 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 5. Let j(f) = 7*f - 8. Let y(z) = -6*z + 8. Let a(o) = -5*j(o) - 6*y(o). Let m be a(l). Solve 5*p = 5, -4*c + p = -m*p - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -108.68.\nAnswer: -109.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2878\/4 + (-11 - 299\/(-26))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p - 3*j - 6 = 0, -6 = 2*j. Suppose 4*k - 3 = p*k. Suppose 2*f - 35 = -k*f. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -5, 9369, 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 383*b**6\/30 + 428*b**2 + 173*b. Differentiate m(g) with respect to g.\nAnswer: 1532*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4 - 12*y**3 + 31*y**2 + 42*y = 0. What is y?\nAnswer: -14, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5 = 4*b + 69 + 5, -11*b = -3*b - 13*b - 81 + 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*r - 22 = -210 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -15*q**2 - 14*q - 115 - 120 + 222 - q**3. Suppose -182 = 19*r + 84. Calculate d(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = r - 7, 0 = 2*q - 5*r - 13 - 0. Let y(p) = -p**3 - 7*p**2 - 5*p + 8. Let w be y(q). Put 7, w, -5 in ascending order.\nAnswer: -5, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and -1881749.\nAnswer: -1881758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9759 - -9737.964. Let c = -21 - m. What is c rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*o**3*w - 17*o**3 - 24*o**2 + 2*o*w - 3*w wrt o?\nAnswer: 108*w - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(117) - sqrt(117)) + sqrt(117))\/(sqrt(45)\/(-1*sqrt(5))).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 12:24 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(4\/(-10) - 1611\/135). Let d be y\/37 + (2 + -2 - -1). Let f(j) = j**3 - 4*j**2 + j + 5. What is f(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -92, -1725, -6144, -14741, -28908?\n\"Answer: -232*k**3 - k**2 - 6*k + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -440814, -881626, -1322438?\n\"Answer: -440812*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**3 + 122*b**2 + 67*b + 197. Determine u(-30).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 - b + 1. What is m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 94*g**2 - 832*g + 6760.\nAnswer: -2*(g - 5)*(g + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -971877 times 4\nAnswer: -3887508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**3 - 597*k**2 + 10138*k - 3960 = 0?\nAnswer: 2\/5, 20, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**6\/195 + r**4\/39 - r**2\/13 - 9*r. Let w(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 266062*k**2 + 181532 wrt k?\nAnswer: 532124*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*w - 54 + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-12)*(2 - 29). Let j = g + -14. Suppose -5*w - 3*z - 12 = 0, -j*w - 4*z = -0*z + 8. Let l(m) = 2*m. Let a(q) = -5*q. Determine w*a(n) - 5*l(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -38, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b - x, -5 = 4*b + 4*x + 3. Suppose 0 = -4*a - i - 105 + 357, -63 = -a - 4*i. Suppose -r + a = -b*r. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(((u\/(u*u**(-1\/30)*u*u))\/u)\/u)))**23\/(u\/(u*(u*u**(-32))\/u)*u**(-38)) assuming u is positive.\nAnswer: u**(-1867\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -5.\nAnswer: -5, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:10 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10570 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18287352 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12588 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 68 = -2*l + 84, 5*l - 4 = 4*j. Which is bigger: -154\/61 or l?\nAnswer: -154\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:02 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - -75. Suppose 5*k + 3*l - d = 0, 0 = 5*l - 1 - 19. Suppose 195 = m + c, 5*m + 5*c - 579 = k*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 - 2*s + 9 - 51*s**2 - 14 - 7 + 2*s**3 to the form n*s**3 + j*s**2 + d*s + y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*s**6 + 81*s**5 + 6*s**3 + s**2 - 271*s - 4?\nAnswer: -7440*s**3 + 4860*s**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 2613?\nAnswer: 18\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 - 1. Let k be (-199)\/(-4) + 26\/104. Suppose 0 = -4*q - 46*q + k. Let z(y) = 15*y**3 - 20*y**2 - 20. Give q*z(o) - 20*p(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 4*u**2 - 2*u**2)*(-3*u + 2*u + 3*u)*(-1 - 3*u**2 + 1).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((-290)\/(-25))\/(((-565312)\/1980)\/73).\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13347 times 112?\nAnswer: -14.94864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 6290*r**2 + r + 6246*r**2.\nAnswer: -44*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5729*x + 26. Let c(s) = s**2 - 13*s - 31. Let m be c(15). Is p(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 248*g**2 + 362 wrt g.\nAnswer: 496*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 - 3*s + 3*s + 2*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 641.91, -2, 0.02?\nAnswer: 641.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(300)*1).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -56*(-9)\/36 - 11. Solve -3*r + 0*r = h*m + 6, -3*r - 6 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4*f**2 - c**4*f - 1498*c**3 - 4*c**2*f**2 + 27*c**2 - 3*c + 11*f**2 wrt c?\nAnswer: 48*c*f**2 - 24*c*f - 8988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*o**3*p**4 + 1640*o**3*p**2 - 84*o**2*p**5 wrt p.\nAnswer: 360*o**3*p - 5040*o**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -4.8.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 1014600.\nAnswer: 2029200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -2113?\nAnswer: -2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10250?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/100 and -123\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.935 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16063.\nAnswer: 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11442119 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 240 + 0*l + 0*l - 2170.\nAnswer: l - 1930","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 97 = -3*v, -2*v + 3 - 5 = 0. What is the lowest common multiple of l and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 11*x + 5. Let n be j(-5). Let z(u) = u + 8. Let k be z(-6). Let o = k + n. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.33548 from 375833.\nAnswer: 375831.66452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 975\/(36 + -11) + (-60)\/5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 653 divide 28710451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75294 and 792.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*t + 17 = 117, -5*a = 4*t - 250. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f - 165 + 165 - 2*f + 2 - 2 + (-2 + 0 + 3)*(0*f - f - f) + (-4 + 2 + 3)*(2*f + 0*f + f) + (-4*f + 0*f + 2*f)*(3 - 3 - 2) - f - 2 + 2 + 0 + 2*f + 0.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - t + 2. Let q(f) = -1190*f**2 - 34*f + 68. Calculate -34*g(y) + q(y).\nAnswer: -1224*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-3*(-6)\/36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16278, -15160, -14054, -12966, -11902, -10868?\n\"Answer: -v**3 + 1125*v - 17402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 40*h**2 + 13*h - 3. Suppose -3*j = -4*o - 26, 0*o + 2*o - 5*j + 6 = 0. Is m(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3 = -q, -5*f - q - 18 = -9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -46. Solve -m + 9 = x*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 63.6. Let q = -7.2 - t. Round q to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 4*g + 6. Let f be b(-2). Suppose -f*w + 940 = -2*w. List the prime factors of w.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21a7 + 766?\nAnswer: 2962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 277247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 533*r**7\/42 + 29*r**3\/2 - 3*r**2\/2 - 35*r - 14. Find the second derivative of i(h) wrt h.\nAnswer: 10660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149387453863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 6)*20\/500. Which is the nearest to 0.04? (a) -4 (b) -0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -790 - -2345\/3. Which is bigger: -7 or g?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 - 232 = -23*q - 7*q. Which is the fourth biggest value? (a) 0.043 (b) 5 (c) 2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767187.23 rounded to the nearest ten?\nAnswer: 767190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103563209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -63. Let g(h) = -5*h**3 + h**2 - h - 1. Let j be g(-1). Suppose -t + j = -z. What is the remainder when 53 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 25*k**2 + 67*k + 55. Let n be c(-22). What is the greatest common factor of 176 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/10)\/(1128\/(-752)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 3. Let g be k(3). Let l(w) = -3*w + g + 3*w - w. Suppose -5*z - 17 = -47. Calculate l(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27888078.6 to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*z + 2886 - 786 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 18 = -17*r - f, 2*r + 3*f - 15 = 0. Let k be r\/(-18)*10*(-3)\/(-1). Let t = -2.8 - -0.8. Put 2\/9, t, 2\/3, k in increasing order.\nAnswer: k, t, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12143 - 21*v - 3835 - 4474 - 3834.\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120*w**3 + 121*w**2 wrt w.\nAnswer: 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 13091.\nAnswer: 130910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -111, -3\/4, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -20*a**3 + 2*a**2 + 27*a - 28. Give i(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -v + 41. Suppose -t - 5*a + 20 = -27, 0 = -3*t + 4*a + v. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2366*t + 596227. Give o(252).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/1)\/6)\/((-24)\/36)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*g - 73*g - 45 = 0. Let l = -2 + 2. Which is the nearest to -1? (a) l (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*y**4 - y**4 - 5*y**4 + 6*y**2 - 3*y**4 wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 3*u - 3*u)*(-7 + 7 - 33*u) + (0 - u + 0)*(0*u + u + u) + u**2 + 5*u**2 - 5*u**2 - 3*u + 3*u + 2*u**2 in the form q*u**2 + y + c*u and give q.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 4*m**3 + 3*m**3 + 4*m**3 - 2*m**3 - 12 + 5*m**2. Calculate the least common multiple of u(-4) and 86.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - y - 1. Let q(r) = r**3 - 2*r**2 - 4. Let p be q(3). Let s(o) = 4*o**2 - 2*o - 4. Let n(t) = p*x(t) + s(t). Calculate n(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -169874\/9 or -18875?\nAnswer: -169874\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 + -138. Sort s, -99, -5\/2 in descending order.\nAnswer: -5\/2, s, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2713188.\nAnswer: 1\/1356594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * -0.9697432.\nAnswer: -23.2738368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -6754, 1, -182.\nAnswer: -6754, -182, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 49*a = 54*a + 15, 2*k = -5*a - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 830, 42 in descending order.\nAnswer: 830, 42, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 26 = -2*r, -4*d + 12 = -2*r - 2*r. Let v(n) = -n - 6. Let c be v(r). Suppose 3*f = c*f + 3. What is the lowest common multiple of f and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 0*a**2 - 2\/3*a**3 + a + 0. Let w(g) = 4*g**2. Determine w(z(i)).\nAnswer: 64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Let j = -490 + 512. Calculate the greatest common factor of n and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -3*p + 4, -5*p + 3*c + 2 = 0. Let i = 1293 - 1289. Solve -3*o - 2 = 5*v, p + 7 = i*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46627 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -25 + 11 - (-1 + 2 - 0). Let c = 31 + w. Let y(a) = 3*a**2 + a - 12. Calculate the lowest common multiple of c and y(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/17369076 and -145\/15674532.\nAnswer: 642655812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a + 39?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*l - 499 = -499 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(88)\/((sqrt(8) - sqrt(128))*-4) + 0 + 3*sqrt(99) + 2 + 3)**2 + -3.\nAnswer: -671887\/144 - 2725*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at most as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5.994*-12.1\nAnswer: -72.5274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 19\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32649 - -33441. Solve -814*m + x*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 72. Let r(v) = v**3 + 17*v**2 + 194 - 224 - 9*v + 23*v. Let f be r(x). Solve f*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.063 + -7.063. Let q = 45 - 31. Let w = 0.5 - 0.8. What is the third smallest value in q, j, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 154734861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16240 is divided by 123.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5 + 2. Suppose 4*g = 3*z + 2*z - 24, 2*z + w*g = 5. Let u = z - 5. Is u at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2753 (b) 3\/4 (c) -2\/9 (d) -6 (e) 8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 5. Suppose -11*v + 20*v = 36. Calculate k(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8082887 is divided by 1599?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100 (base 2) in base 7?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**6\/40 + r**4\/6 - 2*r**3\/3 + 17*r**2 - 2*r. Let c(y) = -y + 1. What is -3*c(h) - f(h)?\nAnswer: -3*h**3 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002188 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2. Let v(c) = 5*c**2 - 13*c. Let q(l) = 6*h(l) + v(l). Let u be q(-12). Let r = u - 7. Put 4, 3, r in ascending order.\nAnswer: 3, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20469.354 months to millennia.\nAnswer: 1.7057795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -40*l**2 - 141*l + 162. Is t(-34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*p**3 + 3793886*p**2 - 1299349*p + 3?\nAnswer: 36*p + 7587772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 196*t + 3988. Let v be f(-83). Calculate the greatest common divisor of 963 and v.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*n + 98*n - 9. Solve n = d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in 2\/13, 6, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -138*g**2 - 1139*g - 248. Determine w(-9).\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.97 + -1.07. Sort n, -5, 2\/11, 0.1 in increasing order.\nAnswer: -5, n, 0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*y + 24 = 0, 3*j = 5*y - 0*y + 36. Solve -j = 6*m - 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2392352 and 18448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 13*c - 10, 3*c = -2*d + 280. Suppose -2*n = -4*n + 5*u + 71, 5*u + d = 4*n. Calculate the highest common factor of 132 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20505 (base 14) to base 16\nAnswer: -12ff9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7. Suppose 0 = 2*t - h*t + 3*m - 16, 0 = -2*t - 4*m + 20. Suppose c - t*j - 153 = -4*j, 0 = 4*c + 5*j - 624. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-60)*5*6\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 8 = -p, p - 3*p - 12 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/345 and -133\/163668?\nAnswer: 818340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/8503060 and -101\/892670.\nAnswer: 501680540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3067*n + 3911*n - 1 + 1 to r + s*n and give s.\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1301 (base 7) to base 13.\nAnswer: -2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 77 = -2*g - 26. Calculate the highest common divisor of 32 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5064711 - 4?\nAnswer: -5064715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**3 + 124*i**2 + 195*i + 45. Give q(-19).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20 = 0, 2*v = -0*q + 4*q + 1540. Let j be (-18139)\/(-748) + ((-54)\/24)\/9. What is the greatest common factor of v and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 4*j**2 + 2*j - 2. Let f(v) = v**3 + 11*v**2 + 7*v + 1. Let x be f(-11). Let a = 85 + x. What is the remainder when a is divided by p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.98 rounded to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i. Let k be c(2). Find the first derivative of 0*s + 1 + 3*s - k*s + 0 wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805680831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 3:49 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*w = -5657, 5*w + 16965 = 3*b + 20*w. List the prime factors of b.\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {w: 1, t: 3, k: 2, d: 5, m: 1, a: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 120.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 5*o - 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**3 - 4*n**2 - 2*n + 30. Let y(o) = o**3 + o**2 - o. Let s(q) = -f(q) + 4*y(q). What is the second derivative of s(h) wrt h?\nAnswer: -18*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-30))**(15\/2)*(l\/l**(4\/13)*l*l*l)\/(l*l**(-2\/65)) assuming l is positive.\nAnswer: l**(-14448\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:01 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -832*t - 362883. What is d(-436)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(48) + 0 + (0 + sqrt(192))*5.\nAnswer: -2 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**2 + 13*t - 3. Let y be f(-4). Suppose 40 = y*o - o. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*f + 3*f = -9, 0 = -2*j + 5*f + 9. Let n(y) = 7*y**j - 10 + 163*y - 159*y + y**3 + 0. Let i be n(-6). Solve i*d + 5 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4 + sqrt(68) + sqrt(68)*-3 + sqrt(68) - sqrt(68)))**2 + ((sqrt(17) - sqrt(85)\/(2*sqrt(5)))*6)**2*6 + -2.\nAnswer: 64*sqrt(17) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 5*o**4\/6 + 19*o**2. Let q(s) be the first derivative of 17*s**2 + 22 - 7*s**2 - 11*s**2. Calculate q(n(w)).\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 12 = 4*a - a, -5*a = 3*m - 4. Suppose 193 + 192 = -5*o. Let n = o - -81. Solve n*w - 1 = -2*g + 1, -m*w - 3*g = -6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 516, 537, 568, 609?\n\"Answer: 5*c**2 + 6*c + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q + 4 + 4*q - 2*q - 3*q. Let l(i) = -6*i + 3. Determine 6*l(h) - 5*p(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(80) - -1*sqrt(80)) + sqrt(80) + sqrt(80))*6)\/(sqrt(8) + -4*sqrt(16)\/sqrt(2)))\/(sqrt(14)\/sqrt(448) - -3*(sqrt(50) - sqrt(2))).\nAnswer: -64*sqrt(5)\/97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.099 + 0.035. Let j = z + -64.134. Let k = j + 64. Is k != 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6, -3*d - 29*u + 31*u = -2. Factor -2*j**3 + 0 + 6\/5*j**d + 4\/5*j.\nAnswer: -2*j*(j - 1)*(5*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*v**3 - 13*v**3 - 11*v**3.\nAnswer: -129*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10694.\nAnswer: 2, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6\/g)\/(g\/(g**(4\/3)*g)))**38*((g*g**(-8))\/(g*g\/g**(-2\/3)))\/((g\/((g*g\/g**(-1\/8))\/g))\/g**(-2\/25)) assuming g is positive.\nAnswer: g**(46209\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 15, r: 3}. Give prob of picking 3 r.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -28. Let j = -0.08 - -1.08. Which is the second biggest value? (a) -1\/14 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1596818.\nAnswer: 2, 798409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 46 - 54 = -2*b, -3*b = -u - 170. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13960 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56173970 to the power of 1\/2, to the nearest integer?\nAnswer: 7495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**6 + 1204*i**5 + 96*i**2 - 3?\nAnswer: 120*i**3 + 72240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2 - 14*v + 5. Let g be u(-6). What are the prime factors of (g\/10)\/((-2)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 24*v**2 - 104*v - 2. Let i(q) = 7*q. Determine x(i(s)).\nAnswer: 1176*s**2 - 728*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2541)*-6)\/(sqrt(63)\/(sqrt(81)*6)).\nAnswer: -1188*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -128.367 and 1\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4778716 is divided by 12037.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {a: 1, q: 1, t: 1, e: 1, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 18 = s - 3, -2*s = -2*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, -5, -24, -41, -50, -45, -20, 31?\n\"Answer: q**3 - 8*q**2 + 2*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -28, -5, -3.\nAnswer: -28, -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 80\/99 (b) 6 (c) -5 (d) -0.1 (e) 2\/3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 4, -86 in ascending order.\nAnswer: -110, -86, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbyfnfbyyfx. Give prob of sequence yyx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5451124?\nAnswer: 2, 7, 194683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150020 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4\/13))\/m)\/m**(-4\/25) assuming m is positive.\nAnswer: m**(-48\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 6*i + 40. Suppose 6 = -7*q - i. Let p(c) = -36*c**3 - 2*c**2 + 4*c + 7. Does 31 divide p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - (38 + 39)) + 28 + (-127 - (-1 - -2))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 32 = -5*o, -4*o - n - n - 28 = 0. Let x(u) = 4*u**2 + 2*u. Let c be x(-2). Calculate the common denominator of -69\/2 and ((-3)\/o)\/(c\/392).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**3 - 31*q**3 + 29*q**3 - 68*q**3 + 2*q**2.\nAnswer: -94*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - 4*l + 3. Let x be j(1). Suppose 0 = -b - 3 + 1, -5*b = x*q - 65. What is the greatest common divisor of q and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6050*h**3 + 3310*h**3 - 5439*h**3 + h**2 - h**2.\nAnswer: -8179*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cicccciccciccccccccc. What is prob of sequence icic?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*c - 597, -n + 8*c - 10*c + 600 = 0. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 16\/12)*(-2480)\/5580\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/(-39) - 2\/(-13). Let t be (-22 - (0 + -1))*p. Calculate the remainder when 3 is divided by ((-12)\/t)\/(4\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 7335?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6872 by -3.\nAnswer: -6872\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 11*y**7\/7 + 15*y**4\/4 + 4*y**3\/3 + y - 1338. What is the third derivative of m(a) wrt a?\nAnswer: 1320*a**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q + 1. Calculate the common denominator of (q*(-2)\/96)\/(5\/370) and -59\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5 + 34910*t**4 - 104721*t**3 - 4*t**2 + 139628*t = 0?\nAnswer: -1, 0, 2, 34907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 4*q - 186 = 0, -x - 18 = 4*q. Let y = x - -38. Suppose 2*l + c - 6 = 0, -15 = -5*l + 3*c - 8*c. Is y less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/230 and -151\/276.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 540 + (-2)\/4*(-25 + 21). Solve 543*b = r*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16430 - -82154\/5. Factor 3\/5*a**3 + 0 - s*a + 0*a**2 + 1\/5*a**4.\nAnswer: a*(a - 1)*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + l**2 - 2)*(3*l**3 - 4*l**3 + 2*l**3) - 2*l**5 + l**5 - l**5 + (-3*l**3 + 3*l**3 - 2*l**5)*(0 + 4 - 2).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.227333 months to decades.\nAnswer: 0.210227775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -11. Suppose 10 = 2*u - n. Suppose u*k = -15, 4*j + 2*k + 2*k - 12 = 0. Calculate the lowest common multiple of j and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 6*v + 4 + 4*v. Let a(u) = u - 1. Suppose 5*y - 265 = -5*o, 2*o - 3*y + 0*y - 91 = 0. Let d = -55 + o. Determine d*a(n) - i(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -9574364?\nAnswer: 3\/9574364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z = 29*z + 1260. Solve -2*q + z = 53 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -1. Let i = 27 - n. Let b = -3 + -2. What is the nearest to 2 in b, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 - 2 = 0. What is the tens digit of (-9)\/n*(-40)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 554, 0.2, -2\/25, 0.32 in decreasing order.\nAnswer: 554, 0.32, 0.2, -2\/25, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) 217 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/54 - (120\/(-8) - -16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 7*h**2 - 8*h + 7. Suppose -6*u + 12*u = 48. Give j(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 9:50 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*(sqrt(1088) + -3 + sqrt(1088)) - sqrt(1088)).\nAnswer: -72*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2\/(-10) - (-602)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12)*-15*(-6)\/(-40).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16873069831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 1316 + 350. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111001 - 1111010000100010101?\nAnswer: -1111010001001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 80.52476ml?\nAnswer: 0.08052476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 4*f**2 + 6*f + 1. Let t be u(-4). Let d = t - 39. Let j be 22\/d*(-1)\/(-6). Is 3 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 11 - 14 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 62.54758*2\nAnswer: 125.09516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - f + f. Let w(q) = 3*q. Calculate w(l(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -22?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(12\/7)))\/v**26)\/((v\/(v*v**(-13))*v)\/(v\/(v**(1\/6)\/v))) assuming v is positive.\nAnswer: v**(-1675\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)\/(x*x**(2\/9)*x) assuming x is positive.\nAnswer: x**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.18 (c) 39 (d) -39 (e) -0.5 (f) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*l + 19, 52 - 22 = 5*l - 3*d. Solve -5*t - l*v = 2*v + 25, -5*t - 25 = -5*v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14c3d7 (base 16) in base 8?\nAnswer: -5141727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7667 - 615?\nAnswer: -8282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2837 - -0.1837. Let q = 0.4 + 0.5. Which is the biggest value? (a) f (b) 1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-69)\/(-15) + 2\/5. Let f be t + 3*2\/(-2). Find the third derivative of 3*z**5 + 3*z**5 + z**f + 2 - 2 wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 72 = 2*l, -3*n - 2*l - 60 = -8. Let w be ((-324)\/n)\/((-6)\/(-30)). Suppose -117 - w = -2*q. Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.22 - 18.22. Let r = -1177 - -1175. Which is the closest to n? (a) r (b) -1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**12\/(r*r**13))**(-21))**(-25) assuming r is positive.\nAnswer: r**(-1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8627594897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*b - 460*b - 240 = -902*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30c955 (base 13) to base 9.\nAnswer: -2130264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 131589?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1390*m + 690*m + 698*m - 4*m**3 - 4*m**3 + 3 - 7*m**3.\nAnswer: -15*m**3 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.73 + 18.8. Let x = -0.07 + k. Let p be (-2)\/(-3) - 1\/(-3). Is x bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**2\/5 - 12*t\/5 + 12\/5 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-6*(-2 + (-7)\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357.1 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145653, -145636, -145617, -145596, -145573?\nAnswer: -145548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (795\/1113)\/((-5)\/(-175)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 22 + -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20409?\nAnswer: 3, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/5 - 5744662*w - 57446612\/5 = 0.\nAnswer: -14361653, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/18)\/((-2)\/6). Suppose 0*v + 3 = d*y - v, -24 = -3*y - 5*v. Suppose 15 = 4*a + z, 5*a + 5*z - y*z = 18. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28\/149 + 205\/298. Which is the nearest to j? (a) 0 (b) 5 (c) 21 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*i = -112, 83 = a - 3912*i + 3908*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 - 670\/735. Let c = 1443\/490 + i. What is the common denominator of (3 - 0) + (-272)\/88 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 20420\nAnswer: -8168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-15))\/(((-72)\/30)\/(-6)))\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.90872 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -19. Let w be (-30)\/(-8) + (-3)\/(-12). Which is bigger: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002.867 millennia to months.\nAnswer: 24034404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45416 and 11368?\nAnswer: 9219448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -530.999998992 - -531. Round q to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -145\/8109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 3:35 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.98, 1\/5, 16.\nAnswer: 1\/5, 14.98, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 3) to base 7.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3593+-8.35\nAnswer: -8.7093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -716280 divided by 6.\nAnswer: -119380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-17061)\/(-5687)*(-1)\/((-6)\/76)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160413996 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: Let a = 228 + -135. List the prime factors of a.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*((-37)\/((-185)\/(-2)))\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 33 + (28 - 26)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 235810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.03\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 4*a**2 + 0*a**2)*(4*a**2 - 3*a**2 - 2*a**2) - 2*a**4 + 2*a**4 - 2*a**4.\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 9, 17?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8656593 is divided by 2164148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 4:24 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.052362374 to four dps.\nAnswer: 0.0524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 218.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 19*t - 20. Give i(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 6) + 2\/9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1295 + -1294.974. Let i(z) = -17*z + 154. Let w be i(9). Sort -4, w, t in decreasing order.\nAnswer: w, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:39 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 430, 0.2, 2.4, 1.6, -5?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59835850187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 + 83. Let f(z) = -z**2 + 1. Let b(m) = -16*m**2 - 8*m - 8. Let q(t) = -b(t) - 5*f(t). Is q(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-1))\/((-675)\/9225))\/1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*x - 25 = -5*x, 8 = -2*x. Suppose -4*v + 1 = -k. Suppose -v*l + 5 = -4. Calculate the remainder when l is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 21, -18*n + 16*n = -3*h + 21 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 9:01 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.278 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 4. Let z = 7 - -1. Does 20 divide o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tggtg. Give prob of sequence tggg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**14)**(45\/4)*x\/(x**(24\/11)*x)*x**(-14) assuming x is positive.\nAnswer: x**(-7147\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + sqrt(2057) + -1))**2.\nAnswer: -3168*sqrt(17) + 74628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 15 = 0. Suppose 0 = 114*f - 117*f - 2*b, 7 = f + 3*b. Is f + (53 - -5) - (p + -2) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12670 + -12668. Let a(c) = 43*c**3 + 2*c**2 - 2*c - 2. Let h(j) = j**3 - j**2 + j + 1. Calculate k*h(g) + a(g).\nAnswer: 45*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 3:32 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-4) - (-8 + -1 + 4). Let j = -1 + 5. Suppose -w - p = -j. Solve -k + 1 = -w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1167)\/(-285) - (-3 + 944\/304)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 561 divided by 12997.\nAnswer: 561\/12997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 178 = 110 + 42 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r - 5*w + 133 = 0, -4*r + 154 = 2*w. Is r\/84 - 3966\/(-7) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 3*f. Suppose 3*s + 27 = -f. Let b = 9 + s. What is the closest to 1\/4 in b, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-12)\/(3 + 1)). Let w(h) = h**3 + h**2 + h + 5. Give w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10431 is divided by 222?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3\/7 + 348*u**2\/7 = 0. What is u?\nAnswer: -116, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -1984?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -34. Suppose 0 = -4*s + u + 235, v*u = -s - 2*s + 195. Let x(y) = -3*y + 6. What is the remainder when s is divided by x(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q**3 - 3*q**2 - 2. Let c(u) = 45*u**3 + 16*u**2 + 11. Let n(p) = -2*c(p) - 11*o(p). What is n(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 0, -3.\nAnswer: -7, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 - (-3 - (1 + -3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - 2*o**4 + 0*o**4 + 5*o**4 + 7*o**4 - 47*o**4 + (4 + 10*o - 4)*(2*o**3 - o**3 + 0*o**3) - o**4 + 0*o**4 - o**4.\nAnswer: -30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068438 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/308*882\/560?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-6))\/(47\/(-592952)). What is the greatest common divisor of f and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 943.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 329119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = z + 9, -1 = n - 2*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5 - 1290*c**4 - 3830*c**3 - 1260*c**2 + 3835*c + 2550 = 0. Calculate c.\nAnswer: -255, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8642 - 8644 - 3*f**2 + 5*f**2 + 732*f**3 + 17286.\nAnswer: 732*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q**2 - 306*q + 6121. Give z(-49).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9830.000017058 - 9830. What is y rounded to 7 dps?\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a*a**1)*a)\/a)**(-7) assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6731677\/10 or -673167?\nAnswer: -6731677\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbbbbzbzzbzb. What is prob of sequence zz?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 12. Let m be v(12). Suppose -3*l - 11 - 4 = m. What is the units digit of l\/(-20) - 7\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-594)\/4)\/(3\/(-6)). Suppose 4*j = -r + f, -r + 2*r = -3. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20406937 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314536.\nAnswer: 2, 37, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6195.7 + -6196. Sort 1\/8, -1, s, -19 in descending order.\nAnswer: 1\/8, s, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 - 74. Suppose -m = c, -k + 4 = -5*c - 19. Suppose w - k*v + 6*v - 100 = 0, 5*v - 435 = -4*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(4\/154)*-4. Let d be 6\/(-7) + (-2442)\/a. Solve -n = 3*n - 3*x - d, -3*n + x + 10 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6)*(-9)\/(-2). Let x be 80\/(-6)*9\/n. Suppose 119 = 3*m - 121. Calculate the highest common factor of x and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.07 minus -0.2?\nAnswer: -4.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from wwwfwwwcw?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(931) + -2) - (1*(2 + sqrt(931)) + sqrt(931))) + (sqrt(95) + sqrt(95) + (sqrt(95) + (sqrt(95) - -2*sqrt(95)))*-3)\/(sqrt(500)\/sqrt(4)).\nAnswer: -12 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39704643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/60 + g**4\/8 + 11*g**3\/2 - 4*g**2. Let s(u) = -15*u + 325. Let k be s(21). Let b be n(k). Is -38 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1334726 - 1207?\nAnswer: 1333518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 49*m - 145. Let x be w(21). Solve -4*i + 4 - 23 = -y, -2*y - x*i - 12 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0206914039 to 4 decimal places.\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 1. Let x be a(2). Let v(d) be the second derivative of d**3\/6 + 4*d. What is the units digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0111083 - -2103.3529.\nAnswer: 2103.3417917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 + 0. Let w = o + 0.05. Which is the nearest to w? (a) 3 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12011 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50481050 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143 + -1197\/8. Calculate the common denominator of 2\/419 and s.\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00451526983 to 5 decimal places.\nAnswer: -0.00452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*b*h**3 + 19*b*h + 3*h**3 - 30*h**2 wrt h.\nAnswer: -420*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -32*d**3 - 14*d + 43. Let s(a) = -16*a**3 - 8*a + 21. Determine 7*s(q) - 4*y(q).\nAnswer: 16*q**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 41413?\nAnswer: 41423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (12 + 3) - (-4 - 1 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5784633852 divided by 4\nAnswer: 1446158463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/20359 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/6 (c) -5 (d) 11 (e) -9 (f) 2 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/13 - 40*f**4\/13 - 2406*f**3\/13 - 14940*f**2\/13 + 5184*f = 0. Calculate f.\nAnswer: -18, -13, 0, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*w = -5, -q + 3*q - 2 = 2*w. Let a = 25 - 74\/3. Factor -n + 2\/3 + a*n**q.\nAnswer: (n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -93*f**2 - 3*f + 25. Calculate g(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 10:37 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 4:49 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 560\/(-91) + 30\/26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*m + 210 + 1565 = 0 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 79 + 9197*x - 17*x**3 + 161 - 9197*x.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from leckbtbc. What is prob of picking 1 k, 1 c, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 - 3*u**3 + 4*u**3 + (-321*u**2 - 8683 + 8683)*(9*u + 33 - 33) to j*u**2 + o*u + h*u**3 + c and give h.\nAnswer: -2888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 839.0301 to the nearest 10.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/15 (b) -0.05 (c) -5495 (d) -2 (e) -6 (f) 5 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 2 (c) 0.5 (d) 5 (e) -58 (f) -1.5 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + a. Let i(b) = -225*b**3 + 36*b. Let w(q) = -i(q) + 6*r(q). Find the second derivative of w(l) wrt l.\nAnswer: 1386*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 125\/10)\/((-1)\/18)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 33*j**2 + 9*j + 26. Let g be m(-3). What is the highest common divisor of g and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 2 (c) 0.4 (d) -16.2 (e) 5 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -350.5 or -46?\nAnswer: -350.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3401a (base 15) in base 11?\nAnswer: -1032a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1610 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y**2 - 7*y + 7. Let i(k) = -k**2 + 16*k - 10. Let r(n) = -14*n + 9. Let v(c) = 5*i(c) + 6*r(c). Determine 7*v(s) - 4*w(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 3:47 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 171 = 31*n, -7850*n + 4*w = -7847*n - 31 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 7*t + 21 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/5)\/q)**(-1))**(-30)\/(q**(1\/16)*q**(3\/5))**(-39) assuming q is positive.\nAnswer: q**(1107\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65447, 130929, 196411, 261893, 327375, 392857?\nAnswer: 458339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:15 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a**2 + a - 196. Let o(z) = 6*z. Give p(o(i)).\nAnswer: -324*i**2 + 6*i - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1456.938 and -9?\nAnswer: -13112.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 15) to base 11\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8564951 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7619*y - 10 + 15243*y - 7620*y as p + l*y and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbtzzbrobzvztr. What is prob of sequence vr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 50*f**2 - 64*f + 704. What is the remainder when 275 is divided by l(51)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-34)*-2*3\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4196\/77 + 590\/11. Which is the nearest to 2? (a) 0.4 (b) 0.25 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o = 288. Suppose 4*r = 72 + o. Let f = 117 - r. What is the greatest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*538\/312 + 1. Let v = z - -3\/52. Let j = 1272\/7 + -182. What is the nearest to j in 0.4, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2379 and 2013?\nAnswer: 26169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/3 + 153*f**4 + 5978*f**3 - 56546*f**2\/3 + 19153*f - 6435 = 0. What is f?\nAnswer: -39, 1, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -94. Calculate the remainder when m is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l + 13. Let m(p) = 2*p - 4. Let r(w) = -8*m(w) - 3*y(w). Let x be r(-10). Let c be 1*(-1)\/x*-1. Sort -2, c, 3\/5 in descending order.\nAnswer: 3\/5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x. Let f(m) = -m**2 + m - 1. Let o(u) = -4*u**2 - 4 + 1 + 0*u + 3*u. Let s(r) = 3*f(r) - o(r). Give l(s(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 99345846.6s in weeks?\nAnswer: 164.2623125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 15 = 0, -16 = -3*v + v + 4*w. Let b(z) = 3*z**2 - 2*z. Let x be b(v). What is the greatest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503 is divided by 168?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 770624 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 489*j - 14. Let i(v) = 1508*v - 40. Determine -11*h(d) + 4*i(d).\nAnswer: 653*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 15431927*m + 30863850.\nAnswer: (m + 2)*(m + 15431925)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 45 = 13. Let i(h) = -h**2 - 17*h - 15. Let j be i(x). Let s = 0.5 + -1. Which is the second biggest value? (a) j (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -118, -385, -906, -1765, -3046?\nAnswer: -4833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.06, 3\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -4\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11.9 (b) -3\/8 (c) -3\/7 (d) 12 (e) -6 (f) -3 (g) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/20)\/(11132\/8855*((-7)\/(-2))\/1)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11065215983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-49) + (-8)\/56. Suppose t = -d - 3, 4*r = r + 2*d - 75. Sort -0.5, -5, r, 2\/15 in decreasing order.\nAnswer: 2\/15, -0.5, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*d**5 + 37982*d**4 - 2*d**3 + 5403*d**2 - 218*d - 1?\nAnswer: -960*d**2 + 911568*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 2*j**3 - j**2 + 0*j + 39 + 2\/5*j**5 - 3\/2*j**4. Let k(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 104191*i**3 + 98473.\nAnswer: 312573*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 739840\/(-43350)*(-5)\/(-8)?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k**2 - 3*k - 5. Let j(o) = -2723*o**2 - 4 - 4*o + 1365*o**2 - 2 + 1365*o**2. Give 3*j(d) - 4*l(d).\nAnswer: -7*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 97*c**2 - 48. Let r(i) = -i**3 - 3*i**2 - 8*i - 2. Let s be r(-3). Let k be d(s). What is k rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/954279 and -103\/6?\nAnswer: 1908558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 6*c**2 - 7. Let f be m(-6). Let w(i) = i**3 + 6*i**2 - 7*i + 7. Let j be w(f). Suppose 0 = -2*x + j + 5. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k + 25*k + 11*k)*(0 - 5 + 1)*(k - 37*k + 7*k).\nAnswer: 2784*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -3 (b) 0 (c) 10 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5611278 and 0.0574778.\nAnswer: 0.6186056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*c + 34*c + 416. What is the highest common divisor of 182 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Let j(u) = u**3 + 5*u**2 - u - 7. Let m(l) = -3*l + 16. Let i be m(7). Let n be j(i). Sort 0, n, q in descending order.\nAnswer: q, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h - 20 = 29*h. Suppose -1619 = -3*c + h*w, -3*c + 445 = -3*w - 1172. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4177, 4181, 4185, 4189?\n\"Answer: 4*j + 4173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2893245*d**3 - 249631*d**2 - 2*d - 2 wrt d.\nAnswer: -17359470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*3*(-72)\/((-6480)\/(-210))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 23210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.831 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 47*n**2 - 556*n + 96. What is u(-12)?\nAnswer: -3456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 42.744.\nAnswer: 42.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*q - 55, 4*c + 0 = -4*q + 4. Suppose 4*k - c = 2*d - 3*d, 5*d = -5*k + 30. Solve -w = -d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4508*i = -4515*i - 49 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 318814 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 + 9*y - 2. Determine o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**4\/4 + g**3 - 3. Let h be j(-3). Put 4\/7, h, -2 in increasing order.\nAnswer: -2, h, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/15*1520\/23104\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 7*j**3\/3 + 3*j - 10130. Let u(x) = -42*x**2. Give u(p(c)).\nAnswer: -2058*c**4 - 1764*c**2 - 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12898\/335 + -20\/67. Let q = p - -39. Solve 0 + q*l**2 - 2\/5*l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:34 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by (40\/14*(-14)\/(-4))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*-1)\/sqrt(2))\/((sqrt(21)*-1)\/sqrt(3)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 359962249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -27*z + 407. Let t be k(15). Suppose n - 9 - 15 = 0. Let v = n - 9. Solve h = -5*d + 23, t*d + d - v = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -491544, -491550, -491556?\nAnswer: -491562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 5*m + 87. Calculate t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 305 + -3?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 + -2.5. Which is the biggest value? (a) -3 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8066636*d**3*f**5 - 269*d**3*f**2 - 4457*d**2*f**2 - 7*f**5 - 2 wrt f.\nAnswer: 483998160*d**3*f**2 - 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 2:34 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 155 = 5*x, -102 = -3*k + 2*x - 9. Let t = -50 - -391. Calculate the greatest common factor of t and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/8*1760\/308.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 9*w**2 - 6*w - 9. Let u(s) = s**3 + 8*s**2 + 5*s + 8. Let t(i) = -4*o(i) - 5*u(i). Let k be t(-4). Suppose k*a + 8 = 2*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 3*m - 33. Let x be n(-8). Let k = x + 19. Calculate the highest common factor of 36 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -37*o + 10*o + 6 + 8 + 13*o - 9. What is y(6)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 414897 and 1932.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199 + 20. Is -179 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 57*s + 3012. Let h be w(-53). Let i(t) = -2*t**2 - 18*t. What is i(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 + 4 - -1 - -1 and 168?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 8*d**2 + 28*d + 35. What are the prime factors of a(-14)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 times -0.04?\nAnswer: -11.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -2, 0.24, 4, 2\/19?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a + 6. Suppose -4*o = -y + 14, -4*y - o - 3 = 9. Let d be z(y). What is the units digit of 9\/d*(-40)\/(0 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d**2 - d**3 + 4357*d - 8 + 4344*d - 4 - 8729*d. What is t(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -17*k**3 - 127*k**2 - 10*k + 2. What is x(-3)?\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/135 and -2\/165?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4575.052 - 4602. Let j = m - 0.052. Let h = j - -26. What is the closest to h in 3\/7, 1\/10, -5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 - -0.8. Let g = i - -3. Let m = 3 + g. Which is the closest to 1? (a) -1\/2 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 + 3430*j**2 - 3430*j**2.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/7 - ((-82)\/16 + 5 - 627\/(-24)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 24 + (4 - -2) - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**2. Let z(l) be the first derivative of 151*l**3 + 15 + 9 - 7 - 152*l**3. What is z(x(m))?\nAnswer: -147*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -899 - -940 - (-7 + -1 + -3 + 2)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -17.98. Let k = -0.11 - m. Let c = k + -0.01. What is the closest to c in 3\/5, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(8\/2)*(-60)\/60?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 1\/7 (b) -129\/2 (c) 4 (d) -2.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4987 to two decimal places.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2810964.\nAnswer: 2, 3, 13, 37, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 21*k - 988. Let f be q(46). Suppose -v + 254 + 133 = 0. Let a = f + v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -41563\/12 + 3471. Let i be 1 - 3\/(-192)*-91. Let d = 621\/64 - i. Calculate the common denominator of d and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 4, -1\/11, 0.2, 1.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 = -0*y. Let d = y - -10. Suppose d*i - i - 34 = 0. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15)**15*(((c*c**(-15))\/c)\/c)**(3\/44) assuming c is positive.\nAnswer: c**(2463\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 102178421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 14 + 19 - 5 + 0*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189216 divided by -47304.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0183232 rounded to 2 dps?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.49 - 1. Let w = t + -0.09. Let n = 3.5 - 0.5. Which is the second biggest value? (a) n (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(475) - sqrt(475))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 - 5033*u\/2 - 35133.\nAnswer: -(u + 14)*(u + 5019)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 1.3. Let b be (10*(-6)\/(-75))\/((-4830)\/1725). Put -9\/8, b, n in decreasing order.\nAnswer: n, b, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - 1)\/(-12 - 5). Which is smaller: g or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b + 3*i + 11 = 0, 0 = 4*b + 3*i - 5. Solve -4*p + 18 + 7 = 5*l, b*l = 4*p + 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0115466305 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {j: 1, g: 1, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 1. Suppose -8*j + 5*j + 3 = 0. Suppose 0 = -3*a + 5*a - 6. Let x(w) = w - 4. Calculate a*t(l) + j*x(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 3, v: 1, k: 5, n: 1, x: 3}. Give prob of sequence ix.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**4 - 29*d**3 - 1707719*d**2 - 43028081 with respect to d.\nAnswer: 4*d**3 - 87*d**2 - 3415438*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4752 - 250*r**2 + 2*r + 237*r**2 + 4776 to the form h*r + u*r**2 + x and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 28218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - i**2 + 2*i - 1 + (0*i + 0*i - i**2)*(5 - 1 - 3) - 20*i + 20*i - 6*i**2 + 8*i**2 + 7*i**2 - 3*i**2.\nAnswer: 4*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3377, -3376, -3375, -3374?\n\"Answer: g - 3378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 24 = -4*b - 0*s, 2*b = 5*s - 23 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/2) + (-21)\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -705*a**2*f**2 + 8*a**2*f - 168*a**2 + a*f**2 + 57 wrt f?\nAnswer: -1410*a**2*f + 8*a**2 + 2*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1398887 + -543106. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*s - s**4 - 6 - 4 + 19*s as t*s**3 + y*s**2 + l*s**4 + j + f*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 7. Let u be (-2 - 0\/s)\/2. Let d be (u - 0)\/(3\/(-9)). Solve -20 = d*o - 8*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 7*p**2 - 2*p - 30*p**2 - 26*p**2 + 2 - 2 + p**2 + (2*p + 0*p - p)*(-6*p + 3*p + 4*p) to t*p**2 + z*p + i and give t.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 595\/714 + 170\/12\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 + 2*p + 2. Let f(a) = -9*a**2 + 4*a + 3. Let b(t) = -2*f(t) + 5*l(t). Let b(q) = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -0.221, 3, -0.06, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4779 and 13373181.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 64. Suppose 4*g + x = 5*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1439387 or 1439389?\nAnswer: 1439387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 5*t + 5. Let g be k(5). Let z(n) = -13*n - 4. Let u be z(g). Let j = u + 175. What are the prime factors of j?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1734 and 30498.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -154*f*r**2 - 450*f + 4*r**2 + 6561*r + 25639 wrt r?\nAnswer: -308*f*r + 8*r + 6561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-1 - (-3 - -1))) + 2. Solve -i - 4 + b = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i - 2*j = 18, 5*i - 4*j - 16 = 0. Which is the nearest to -0.1? (a) 5 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8\/9, 65\/2, 47?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13706 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 7)*(15 + 22*g - 15)*(2*g**3 + 2*g**3 - 12*g**3).\nAnswer: 1408*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -32?\nAnswer: 32.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2. Let t(u) = u + 1. Let a = 3759 + -3762. Determine a*f(d) - 4*t(d).\nAnswer: -4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 265 - -751. What are the prime factors of l?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 divided by -23?\nAnswer: -924\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/147736 and -17\/366272?\nAnswer: 114643136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1687\/8 + 211. Let o be (-28)\/12 - 186\/(-72). Factor -o*x - 1\/8 - h*x**2.\nAnswer: -(x + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162 + -162. Suppose m = 8*f - 16483 + 47683. Round f to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 60, 77?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -173. Suppose -4*l + 2*d = -172, -d - m = -2*l + 3*d. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 85*u - 2844. Calculate o(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**3*k**2*n**3 - 38986*g**3*k**2*n + 64264*g**2*k**2 + 2*g**2*n**3 - 2*k**2 + 2*k*n**3 wrt g?\nAnswer: -24*k**2*n**3 - 233916*k**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 189094 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/5976413 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428045 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4482791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**4*c*c)**(-1\/27))**(-25)*(c*c**(-2)*c*c*c**1)\/(c\/c**(-2\/25)*c*c*(c\/(c*c\/(c**(1\/8)\/c)))\/c*c) assuming c is positive.\nAnswer: c**(-707\/5400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*k - 530. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 1. Suppose -1 = -3*b - 4. Let m be k(b). Let a(h) = -h - h - h + 7*h - 3. What is a(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-16) - (40390\/(-8) - -1).\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -441\/4 at most -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2914, -2921, -2928, -2935?\nAnswer: -2942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2150 and 344?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 17 = 3*y - 5*v, -v - 3 = 0. What are the prime factors of 119\/17 + y\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691 = 10*a - 549. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436290*k**2 + 436290*k**2 + k**3 + 285.\nAnswer: k**3 + 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 152*m**2 + 3*m. Let r be o(-2). Suppose 0 = v + 6*v - r. Suppose 2 = -i + v. Is 33 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 14*i - 3. Let y be m(11). Find the common denominator of ((-189)\/y - 2) + 2 and -11\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 44 + 6054*g**2 - 1278*g**2.\nAnswer: 4776*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*2\/(-20))\/(32253\/8270)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 38*v**2 + 289*v - 119. Give o(28).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*n - 3*f, 0 = 5*n - 25*f + 21*f - 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 165216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18457158 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, -371, -2206, -5775, -11654, -20419?\nAnswer: -32646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -1 - (4 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*(51 + 280 - 587025*d + 587024*d).\nAnswer: -d + 331","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*r + r - s, 4*r + 4*s = 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668094.\nAnswer: 2, 3, 7, 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 461601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -74)\/(-3)*(-2)\/(-4). Is (-3)\/p - 0 - 123798\/(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.61 * -1.6.\nAnswer: -0.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 8*v. Suppose 5*u - 150 = u + 3*t, 4*t = 2*u - 80. What is the remainder when u is divided by w(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**3 + 12*q**3 - 8*q**3 + 4*q**3.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 5. Suppose -b = -4*t - 9, -5*t - 5*b + b = 27. Let c(z) = 0 - 3 - 7 + 6. Determine t*c(d) + 2*x(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*q - 4, -53*q = -57*q - 3*l + 2. Let g(w) = w - 1. Let p(r) = -8*r**2 + 5*r - 6. Calculate q*p(t) - 10*g(t).\nAnswer: -16*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.11 and -36 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -119, -285, -513, -803?\n\"Answer: -31*s**2 - 11*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((-1)\/(10\/(-3))). Suppose -2*h + t = 3*h. Suppose 0 = -3*q - 9, 0 = -5*f - q - h*q + 176. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/19 (b) -12 (c) 0 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59165 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -892, -1639, -3296, -6319, -11164?\n\"Answer: -76*i**3 + i**2 - 218*i - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*n**3 - 736*n**3 - 163*n**3 - 500*n**3.\nAnswer: -1256*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + k + 1. Let a be d(-1). Let q be (-2)\/(-4) - a\/(-2). Solve z - q + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 123355122 - 4?\nAnswer: 123355115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*2\/((-8)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.512 and 5.\nAnswer: -27.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(n - 2*n + 0*n)*(0*n**2 + 2*n**2 - 5*n**2).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.13005 tonnes to milligrams.\nAnswer: 11130050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -493 divided by -2\nAnswer: 493\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5073, 5057, 5041, 5025?\nAnswer: 5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295603983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)\/u*u)\/(u**12*u) assuming u is positive.\nAnswer: u**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3\/3 - 41. Let v(y) = -38*y**2 - 2. Give b(v(g)).\nAnswer: -1444*g**4 - 152*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 208?\nAnswer: 17\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1676496 is divided by 1230.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*l + 3140, 2*q - 4*q = -3*l - 1245. Does 41 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*n - 112*n + 64*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/7 (c) -304\/13 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 13. Suppose u*y - 2*y = -h + 229996, 4*h + 230016 = 5*y. Round y to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 6, p: 1, b: 9}. What is prob of sequence rr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2680, 2684, 2690, 2698, 2708, 2720?\n\"Answer: l**2 + l + 2678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.2345.\nAnswer: -0.2345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-seven quarters of a microgram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (22 - 5) - (1 + 20).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1199763 and 77049?\nAnswer: 8398341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 98. Let s = b + 37. Suppose s*v + 222 = 826. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -7. What is the remainder when 27 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -17. Suppose 0*r = -j*r + 465. Does 31 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 1. Let c be q(-3). Suppose 0 = -s - c + 37. Calculate the highest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b**3*h**2 - 11*b**3*h - 2*b**2*h + b*h**2 wrt h.\nAnswer: -18*b**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8*s - 3 + 4 in the form i + h*s and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**1)**(-11)\/((l*l**(1\/7))\/l**(2\/5)) assuming l is positive.\nAnswer: l**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 365*s - 372*s - 119 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2123265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 - 12*s**2 + 9*s = 0. Calculate s.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45181546 is divided by 5774?\nAnswer: 5770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*c, -5*c + 4*c - 5*q + 24 = 0. Let y(u) = c*u - 3 + 6 - 2. Let o(w) = 7*w - 64. Let f(k) = 2*k - 16. Let m(s) = 4*f(s) - o(s). What is m(y(i))?\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = 0, 3*p - 3*f + 1 = 16. Calculate the highest common factor of 127 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from {d: 2, w: 8, l: 2, m: 6}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2623\/90 + 220\/9. Let l = 325\/6 + -237\/4. Calculate the common denominator of l and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 - (10 + -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9292 and 2033332?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**3 - 32*p**2 + 9*p + 5. Determine v(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 2*v - 3*v)*(-46*v**3 + 21*v**3 - 10*v**3) + (5*v**2 - 3*v**2 - 4*v**2)*(v**2 - v**2 + v**2).\nAnswer: 33*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10*(-7 + 2)\/(-5))\/((-8)\/(-96)). What is the highest common divisor of 540 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 120*c**2 + 16*c + 1. Let o(l) = l. Calculate o(q(d)).\nAnswer: 120*d**2 + 16*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 24*y - 16*y)*(-2*y - y + 4*y) + 1 - y**2 - 13 - 11.\nAnswer: 11*y**2 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 0 - (-1674 + 1716)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 149*f**2*g + 2*f**2 + 6*g - 159 wrt g?\nAnswer: 149*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 915*w**4 + 427*w**2.\nAnswer: 21960*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = -7*d - 39. Let c be ((-20)\/d + (-208)\/70)*15. Is -37 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65393009 or -65393008?\nAnswer: -65393009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 822 + -2531\/3. Suppose 5*n = 3*g + 2, 3*g - 2 = 2*g + 3*n. Find the common denominator of (-962)\/143 - 1*g and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6 + 37*n**2 - 19*n**2 + 78*n**2 to p*n**2 + t*n + j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8626332, -17252674, -25879016, -34505358, -43131700, -51758042?\n\"Answer: -8626342*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*k - 2*l, -4*k + 11 = 3*l + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 180 = 2*s. Suppose 4*m - 64 = -0. What is the smallest common multiple of m and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -575, -2334, -5249, -9308, -14499, -20810, -28229?\n\"Answer: 2*h**3 - 590*h**2 - 3*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -15, 4, 30 in decreasing order.\nAnswer: 30, 5, 4, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 264, 272, 318, 396, 500, 624?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -10 + 11 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -420.5 + 421. What is the smallest value in 2\/11, 20, c, 2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -120806 greater than or equal to -120806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98401018 to 3 dps.\nAnswer: 0.984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.63327 to 2 decimal places.\nAnswer: 2.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 248, 0.5, -0.3, 19, -0.07, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60288 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95309*u**3 + 121*u**2 + 440312070 with respect to u.\nAnswer: 285927*u**2 + 242*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000656276 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-32))\/(5465\/26232).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**3\/6 + 4*h. Let u(z) be the third derivative of z**5\/30 + 2*z**2. Determine y(u(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37614046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a factor of 225536232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p - 217 = 66*p. Let h be ((7 + p)\/(-5))\/(6\/(-3)). Solve -2*c + 3*r = -4*c - 20, c - 3*r - 8 = h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 6:05 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 889750491?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*c - 7, -a = -24*c + 19*c - 15. Solve -3*y + 14 = a*k - y, -3*k + 3*y = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*4\/21*3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 116\/135, 86, -5?\nAnswer: 116\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9680, -9649, -9556, -9401, -9184?\nAnswer: -8905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29359 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1053 and 729.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 181 + 326 = 2*j, 3*j = t + 750. Round j to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-142)\/(-142))\/(1\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -142, -177, -198, -199, -174?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 3*k**2 - 10*k + 7. Let n be f(-5). Find the second derivative of -n*l**5 + 80*l**4 - 80*l**4 - 7*l wrt l.\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 21. Suppose 6 = 5*t + f. Let l be (93750\/4)\/(t\/(-1408)). What is l rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*4561.5\nAnswer: 9123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*r, -4*r - 1 + 16 = -y. Let x = r - -1. Solve -x*j = 2*p - 24, 3*j - 25 = -0*j - 5*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 43*d + 36*d + 39*d - 2 - 165*d + 50*d. Let k(n) = 5*n**2. Let o(u) = -9*u**2. Let l(c) = 5*k(c) + 3*o(c). Give l(h(p)).\nAnswer: -18*p**2 + 24*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -536*k - 961*k + 313*k in the form s*k + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 + 152*w\/9 + 2888\/9.\nAnswer: 2*(w + 38)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*-2*(-3)\/(-360)*10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54.52 - 56. Round r to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 447350 to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 25 - 8*d + 3*d**2 + 2*d**2 - 21 to the form o*d + w + u*d**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**2 - 14 + 28 - 14.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 379262 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -110 (c) -0.21023 (d) 2\/9 (e) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(10\/(-4) - -2). Suppose -l*i + 18 = -42. What is the remainder when 19 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/75, -0.067?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4))**(13\/6) assuming w is positive.\nAnswer: w**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, f: 12, d: 2}. Give prob of sequence fdf.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376 is divided by 233?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 68*u + 1100. Give d(-46).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -k + 3. Find the common denominator of (-6)\/k - (-38)\/22 and -21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140.37 + 1.63. Let m = 142 - p. What is the nearest to 0.2 in -4, m, -4\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107089901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**2 - 30*h + 9*h**2 + 8*h)*(-4*h**2 - 2*h**2 - 4*h**2).\nAnswer: -20*h**4 + 220*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-228)\/(-8))\/((-15)\/6 + -10 + 13). Sort 4, -1, 3, b in descending order.\nAnswer: b, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-2)\/(12\/1). Let x = 0.16 - 0.66. Let w = -60 + 59. What is the closest to k in w, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -50*w + 385. What is the tens digit of k(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, i: 1, k: 3, v: 6}. What is prob of sequence kk?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3382, 6939, 10496?\nAnswer: 14053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2 - (62 - -42)) + (-2 - 4)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 - 1. Let t(a) = -2*a - 28. Let g be t(-15). Let z be v(g). Solve 0*i**2 - 3*i**2 + z*i + 5*i**2 - 3*i**2 - 2 = 0 for i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v. Let k(j) = -133*j**2 + 17. Determine l(k(c)).\nAnswer: -266*c**2 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 24*f**2 + 56*f**2 + 14*f**3 + 3*f**3 - 14*f**2 - 19*f**2 to the form n + d*f + w*f**2 + v*f**3 and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/72 + -293\/360. Let f = 10.69 - -0.31. Let d = -11.1 + f. Which is the closest to d? (a) s (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7517, -7521, -7527, -7535, -7545?\nAnswer: -7557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -210 less than 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 805014754 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1611 + 0*i**2 - 1610 - 3*i**2 in the form r*i**2 + u*i + n and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (2 + -2)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 0*d**5 + 0*d**3 - 1\/3*d**6 - 5 + 3*d**2 + 0*d + 0*d**4. What is the second derivative of w(v) wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -56. Let z be (-2686)\/(-7) - 6\/x. Suppose c + z = 4*c - 3*r, -146 = -c - 5*r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152167379?\nAnswer: 7, 13, 23, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/13 - 3008*i\/13 + 2982 = 0.\nAnswer: 13, 1491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10695310 divided by 2.\nAnswer: 5347655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13\/99 - 2\/9. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 801 in -2, -0.07, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33842 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**5 - 50*q + 24*q + 30*q wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/(-24)*-6)\/(-2). What is the tens digit of (4 + 5 + b)*(-407)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6088636372 to the nearest integer?\nAnswer: 78030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**3 - 3 + 3.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -41123230 (base 6) in base 4?\nAnswer: -10133132202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8183 is divided by 4085.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-44) + (-45473763)\/358446?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/30 - 58*g**5\/5 + 115*g**4\/2 - 344*g**3\/3 + 2067*g**2. Factor u(n).\nAnswer: 4*(n - 172)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-20)*2)\/((-38)\/1558) + (-8)\/40.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 7. Let a be i(5). Let j be (-1)\/(a\/(9\/(-6))). Let b = -2\/39 - -17\/78. What is the third smallest value in j, -2\/3, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/15, -7, -5073 in decreasing order.\nAnswer: -2\/15, -5, -7, -5073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2544 divided by -2544\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1613621 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 7*k + 8*k - 7*k - 7*k = 7, -2 = -k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + n - 26. Let t be f(0). Let x = t + 48. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4115, -8484, -12853?\n\"Answer: -4369*z + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -277797 or -277795?\nAnswer: -277795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689767 is divided by 1159.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10560 (base 9) in base 11?\nAnswer: 5302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -2. Solve 3*p = -5*s - 2*p + 15, -i*p = -4*s + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 6*r - 2. Let p be b(7). Let i(x) = x**3 - 5*x**2 - x + 5. Let z be i(p). Suppose -n + z*n + 9 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-4)\/14)*-2. Let l(y) = -y + 10. Let t be l(m). Solve -d - t = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1077 or -1075?\nAnswer: -1077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.6 + 11. Let n = z + -16.4. Let b = -10 - n. What is the third smallest value in 1, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p\/p**(3\/7)*(p\/(p*p*p**(1\/3)))\/(p\/(p*(p\/p**(-2\/13))\/p*p*p)))\/((p**(-5)*p**(-1\/4))\/(((p*p**0*p)\/p)\/(p*p**(-5)))) assuming p is positive.\nAnswer: p**(10529\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-56))\/((-15210)\/(-10647))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 206. What is the remainder when l(12) is divided by 53?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -286*p + 1. Let w be b(-4). Suppose -w = 4*t + 1255. What is t rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + n + 24 = -15, n = 3. Let x be r\/(-3 - 0) + -2. Suppose 7*v - 2*v + 4*h = 63, 2*v = x*h + 45. What is the greatest common factor of v and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117040958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29\/3 - 17. Let y be 4\/(-10) + 8706\/(-15). Let j = y + 590. Calculate the common denominator of j and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439 = v + 5*y, -3*v - 1810 = -7*v - 2*y. Let t(p) = -18*p**2 + 19*p - 79. Let l be t(4). Let d = v + l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 - -449. Let g = 158 - m. Is 18 a factor of (2 - -2)\/(-8)*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h. Let t(f) be the second derivative of 2\/3*f**2 + 1\/36*f**4 + 2\/9*f**3 + 3*f + h. Factor t(q).\nAnswer: (q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + -143. Let t(f) = -f**3 - 5*f**2 - 3*f + 3. What are the prime factors of t(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + 16*d - 17. Let y(o) = -2*o**2 - 11*o + 11. Let q(f) = -5*u(f) - 8*y(f). Determine q(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2 - 3 - 2*f - 2*f + 5*f. Let y be l(-3). Let a(k) = -3*k**2 + 2*k. Let n be 2\/22 - 1395\/99. Let u(j) = 10*j**2 - 7*j. Calculate n*a(q) + y*u(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1 - 1)\/4)\/(-1 + 2). Suppose y - 234 - 625 = t. What are the prime factors of y?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3160 + 792058?\nAnswer: 795218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, f: 5}. What is prob of picking 1 f and 3 a?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/5 + (2 - (-4 - -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z - 11. Let x(w) = -115 - 126 - 5*w + 375 - 123. What is -3*j(c) - 2*x(c)?\nAnswer: -2*c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-838 + 0)*-1*(-2)\/(-4). Is p + 0 + 5 + -7 - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 - 231?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 - 101. What is the second smallest value in p, 0.1, 0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 10 = 5*v. Suppose 3*n - 20 = -v*n. Suppose 2*d + 2680000 = n*d. Round d to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 288. Let b be z(0). What is the greatest common factor of 36 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 4*v + 7. Let a(c) = -4*c**2 + 4*c + 7. Let o(z) = -2*a(z) + 3*j(z). Let g be o(6). Let s(f) = f**2 + 4*f + 6. Is 11 a factor of s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -735, -726, -711, -690?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.05 + 1. Let d = 0.05 - y. Let k = d - 0.5. Round k to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1047 - -701. Let h = -345.6 - o. What is the biggest value in 0, -2\/9, -0.7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.254, -0.92, 0, 5 in ascending order.\nAnswer: -0.92, 0, 0.254, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/((2 - 5)\/9). List the prime factors of 190\/6 - (-24)\/m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*f - 40 = -h, -4*h = 2*f - 32. Suppose 3*a = 3, -3*q + h*q - 5*a = 20. Suppose -q*r = -4*i - 363, r - 17 - 46 = -4*i. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46773499546 - 0.04.\nAnswer: 46773499545.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4837376872 to the power of 1\/2, to the nearest integer?\nAnswer: 69551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13677 is divided by 360.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 2 + 2 + c**3 - 2*c. Let v be s(5). What is the tens digit of (39 - 0)\/(v\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -9, 250\/2573, -1, -1\/8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67211\/27698 + -22\/1259. Find the common denominator of i and 6\/(-42) + 559\/(-546).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 10:04 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 20*g**2 + g - 17. Let w be q(20). Suppose 4*j + 4*i - 524 - 108 = 0, 0 = w*i - 6. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1555 - 471 = 0. Let c = x + -423. Is c a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**4 - 2*t - 3*t - 4*t**3 + 4*t as v*t + x*t**3 + f*t**4 + s*t**2 + o and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -30. Let a = -15174365\/144 - -105378. Let s = a + -1\/48. What is the third biggest value in h, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 + 242*c - 9756. Determine l(26).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 630*o. Let t(s) = -48*s. Determine q(t(w)).\nAnswer: -30240*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 369, 80195, -5 in descending order.\nAnswer: 80195, 369, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 11:12 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 85 = -l. Put l, -4, 5, 2 in increasing order.\nAnswer: -4, 2, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 + 109. Let o be 13\/2 + 2\/(-4). Suppose -5*d + o*d - 16 = y. What is the remainder when 29 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-5)*1 + 2. Suppose -8 = -18*s + 16*s. What is the nearest to -1 in s, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -65*r**2 + 59*r**2 + 188*r - 46*r**2. Let f(h) = -50*h**2 + 188*h. Let n(v) = 3*f(v) - 4*j(v). Find the second derivative of n(x) wrt x.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a meter in centimeters?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.03 (b) 4 (c) -0.2 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v**3 + 3153*v**2 - 19566*v - 14448 = 0. What is v?\nAnswer: -2\/3, 7, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 - 10*p - 4. Let v(i) = -5*i**2 + 11*i + 3. Let o(z) = -4*f(z) - 5*v(z). Let r be o(15). What is the nearest to r in 0.4, 4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0104 (base 14) in base 2?\nAnswer: -1100111001101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**5\/q)*(q**(-3\/5)\/q)\/q*q)\/(q*q\/((q\/(q*q**(-3)))\/q)*q\/((q**(-2\/9)\/q)\/q)) assuming q is positive.\nAnswer: q**(-352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140543 is divided by 1079?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 5, -4, -3 in descending order.\nAnswer: 22, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00571726159 rounded to four dps?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 0 + 15 + -19 - 1) + 10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1510 (b) 1\/5 (c) 1.6 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 887 + -575. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -2, 11, 4, 1, -1.45?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + sqrt(2057) + 5)**2 - sqrt(2057) - sqrt(2057))*2.\nAnswer: -4132 - 88*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3.61 * 0.16\nAnswer: 0.5776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 202797*f**2 - 2027745*f - 5069175.\nAnswer: -3*(f + 5)**2*(f + 67589)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -55222 divided by -27611\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121124, -4, -1\/6, -2\/13, 0.1 in increasing order.\nAnswer: -4, -1\/6, -2\/13, 0.1, 121124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 14. What are the prime factors of i\/(27\/105)*(-1 - -6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78538*p**3 + 40685*p wrt p?\nAnswer: -471228*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12))**(-36) assuming t is positive.\nAnswer: t**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 51*l = 10. Solve 0 = -v + 2*i + 7, 1 = -5*v + l*i + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*q - 0*q + o, -2*q - 3*o = 7. Let n = -4.712 + 0.012. Let f = 5.2 + n. What is the biggest value in q, f, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*1 + sqrt(190)\/(sqrt(10)*2) + 5)**2.\nAnswer: 55*sqrt(19) + 2399\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 14*j - 8)*((-2 + 2 - 2)*(-1 + 0 + 3) - 3 - 3 + 4)*(2 + 2 - 2)*(14 + 5 - 7) to q*j + i and give q.\nAnswer: 2016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3350 and 268.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 2356 = 548. Let c = 538 + m. List the prime factors of c.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19 + 1*0\/(-2). Let h = c - 6. Solve 10 = 2*d + 3*x, 3*d - x - h = -5*x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvcvvvcv. What is prob of picking 2 c?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21840 and 3024?\nAnswer: 196560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360348, 360319, 360254, 360153, 360016, 359843?\nAnswer: 359634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6912710.\nAnswer: 2, 5, 7, 17, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*o**2 + 0*o + 0 + 1\/5*o**4 - 2\/5*o**3 = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -8*f + 52. Let h = f - 7. Suppose h*j - 34 = 2*j. Calculate the remainder when 99 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51, -93, -491, -1269, -2553, -4469?\n\"Answer: -21*w**3 - w**2 + 6*w + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from uynnnnnjnnnynn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 353 - -1301?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/6 - 400273*m\/2 - 600409\/3 = 0.\nAnswer: -1200818, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13921 - 13921.1. Which is the nearest to n? (a) 1 (b) -0.6 (c) -1\/2 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -24, -59, -114, -195, -308?\n\"Answer: -t**3 - t**2 - 11*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**5 + 0*z**5 + 4*z**5 - 4*z**5 + 2*z**5 + z**5 + (2*z - 3*z + 3*z)*(-5*z**4 + 23*z - 23*z).\nAnswer: -12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-5\/4)\/n)\/n)\/n)**18*n**(-19)*n*((n*n**(2\/17))\/n)\/n assuming n is positive.\nAnswer: n**(-2631\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 5 + 39 + -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 + (4 - 25\/20). Suppose 1122 = b*y - l - 496, -1610 = -3*y - l. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + 8*i - 10*i + i**2)*(0 + 3 + 0*i - i) to d*i**3 + u + g*i + l*i**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 44, 93, 170, 281?\n\"Answer: w**3 + 5*w**2 + 5*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.5, 6.7, 22\/5 in decreasing order.\nAnswer: 6.7, 22\/5, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-5)*502\/5271?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1024*m**4 - 4*m**2 + 4*m - 465. Let j(r) = 2048*r**4 + 9*r**2 - 9*r + 923. Let d(w) = 4*j(w) + 9*o(w). Differentiate d(u) wrt u.\nAnswer: -4096*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1195 - 1924. Let k = l - -1049. Suppose k - 1355 = -9*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 15. Let w be u(-15). Let h be (-1 - 1)*(w + -1050). Round h to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-3 - 0 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3))**(1\/2)*d**(2\/17)*d**(-3))\/(d**6\/d**(1\/6)*(d**(-1))**(1\/7)) assuming d is positive.\nAnswer: d**(-3001\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 17. Solve -j = -5*u + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z)**(-2\/93) assuming z is positive.\nAnswer: z**(-2\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-2*-1 + -2*sqrt(228)*1 + sqrt(228))\/(((sqrt(108) - (6*sqrt(108)*-2 - sqrt(108))) + sqrt(108))*-5).\nAnswer: -sqrt(19)\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -641271.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9381510 and 135.\nAnswer: 28144530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65274?\nAnswer: 2, 3, 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 354063169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1388144, -1388146, -1388148, -1388150?\n\"Answer: -2*h - 1388142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -51*s + 56*s - 44, 3*f = -4*s + 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 116\/10 + 4\/10. Let t(g) = 9 - 20 + 2*g + 1. Let j be t(14). Calculate the greatest common divisor of j and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 361 - 1597 = 0. Suppose d = 200 - c. Calculate the least common multiple of d and 258.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1553, 1529, 1459, 1319, 1085?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -1 in decreasing order.\nAnswer: 7, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6*(19 + -1). Let n = 23 - h. What is the nearest to -2 in -4, -1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64871 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exq when three letters picked without replacement from axxqexq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1211 + -1211.5. Which is the closest to -2\/7? (a) 4 (b) 2\/3 (c) 0.4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -79, -6, -10 in descending order.\nAnswer: 2, -6, -10, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4633 + -4632.7. Which is the smallest value? (a) -1\/5 (b) -1\/10 (c) 0.1 (d) 2.7 (e) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 5*d. Let m(l) = l**2 + 4*l. Calculate -4*i(h) - 5*m(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*l - 3748, 3*x - 3*l - 4717 = 6575. List the prime factors of x.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1872*t - 420677*t**3 - 1872*t.\nAnswer: -420677*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 3*a**4\/4 + a**3\/6 + a**2\/2 - 8*a - 5. Calculate the remainder when f(1) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*x - 20. Suppose 4*j + 16 = 0, 5*j + 55 = 3*n - x. Let h(l) = 9 - 5*l - n + 5. Let g(k) = -k. Give h(g(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 - ((-306)\/22)\/9. Is h < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3955.34 - 3989. Let j = -86 + 52. Let b = j - x. Round b to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-4))\/((-1)\/(-2)). Let y = 370 - 372. Is u <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -25320*z. Let m(a) = -a**2. Give m(r(i)).\nAnswer: -641102400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112367976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b + 4. Suppose -b = -0*g - g - 2*f, 3*g + 5*f - 8 = 0. Suppose -35 = -2*s - g. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2 + 4. Suppose 4*q - 6 = -m + v, -5*m + 115 = 5*q. Calculate the remainder when m is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43182 (base 9) to base 15.\nAnswer: -870b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.306 + -0.094. Let i = -6.3 - s. What is the closest to i in 0.5, -0.03, -2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 34409*l**2 + 435*l - 1. Is g(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6836\/10*-10*(-10)\/40 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 1 = a. Let m be (-1)\/(6\/a) - 4\/(-6). Let t = 9 + m. Solve -s = -2 - t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 + c + 2*c**3 - 4 + 4*c**2 - 4*c. Let x be i(4). Let m = 27 + x. Calculate the greatest common factor of 44 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 20. Let k = 15.5 - 21. Let q = k - w. Which is the smallest value? (a) -2 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 9*n**2 + 8*n + 5. Let w be y(-8). Let f = w + 365\/3. Suppose -5*i = 3*m - 8, 0 = -0*m - m - 4*i + 5. Sort m, 0.3, f.\nAnswer: f, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 + 125. Let m(z) = 9*z**3 + z**2 + z - 1. Let r be m(1). What is the highest common divisor of c and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 16*q**6\/75 + 9*q**5\/25 - 31*q**4\/15 - 24*q**3\/5 - 8*q**2\/5 - 407*q. Determine n so that m(n) = 0.\nAnswer: -2, -1, -1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3120 is divided by 1546?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 5*j - 14, -j = -3*f + 14. Let k(c) = c**3 - 5*c**2 - 9*c + 29. Let x be k(f). Solve 17 = w - 4*i, 2*w - 3*w + x = -2*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 46?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249610 is divided by 49908?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-58)\/29*35\/2. Are -36 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {q: 7, g: 12}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48 and -35\/3955408?\nAnswer: 3955408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -4687*a**4\/4 + 1290*a**2 + 8192. What is the second derivative of p(i) wrt i?\nAnswer: -28122*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33038868 a multiple of 1303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -19 + 1 - -2 - (153 - 149)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 7*m - 8. Let g = -8 + 10. Suppose 4*f = -g - 22. Calculate h(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 288.35 and 3?\nAnswer: 865.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 - 143 = 5*w - y, 5*y = -3*w - 33 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 0.5, -0.2.\nAnswer: -4, -0.2, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 3*z**3 + z**3)*(4*z**2 - 2*z**2 - 3*z**2) + (1 + z - 1)*(-5*z + 2*z**4 + 5*z).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188632 divided by 76.\nAnswer: 2482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7294 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106243 plus 3749.9?\nAnswer: 109992.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100100100111001001 + -101010?\nAnswer: 110100100100110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/5, 31, -8, -0.3 in increasing order.\nAnswer: -8, -0.3, 13\/5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*5 + (-40)\/10. Is 1010\/4 + y\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*l**3 - 4*k*l**2 - 14908*k*l - 84*l**3 wrt l?\nAnswer: -12*k*l - 8*k - 504*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(-1*sqrt(5)*-6 + sqrt(500) + 1 + -5)*1 + 1.\nAnswer: -5 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 31 = g + g, g = -2*s + 7. Suppose 0 = 4*x - 3*h - 344, 2*x - h = -0*h + 172. Let b = x - 86. Solve -5*f + s*n + 5 - 20 = b, 3*n = 5*f + 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from heee.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1508622.27 and -10279.6.\nAnswer: 1498342.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*y = 9, 11*y - 15*y - 22 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -260, -794, -1818, -3494, -5984, -9450, -14054?\nAnswer: -19958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 476, 3635, 12160, 28733, 56036, 96751?\n\"Answer: 447*u**3 + u**2 + 27*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3339 and -0.15849?\nAnswer: -529.19811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 3 + 3)*(-1 + 0 - 7).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177710\/11 + -16156. Let f = -0.02 + -0.01. Which is the third smallest value? (a) f (b) -3 (c) 5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(396) + 2 + sqrt(396).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/628247 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*t - 150*t + 2 - 117*t + 43*t in the form o + w*t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-70) - (6\/4 + -2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 31, 6, -39, -110, -213, -354?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 252 = 4*n. Is 15 a factor of (4\/8)\/((-3)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 558492301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+131485415618155\nAnswer: 131485415618154.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/((-28)\/12) - -6. Let 2029*s + 20*s**k + 120 - 5*s**4 + 25*s**2 - 2199*s + 10*s**2 = 0. What is s?\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 31456145729107?\nAnswer: -31456145729109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 20*i**2 + 15*i**2 - i - 64*i**2 to the form f + x*i**2 + v*i and give x.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13887631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6296114, 6296111, 6296104, 6296093, 6296078, 6296059?\n\"Answer: -2*d**2 + 3*d + 6296113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2573*l**3 - 248*l**2 - 248*l + 248. Suppose -19*b - 4960 = b. Let t(v) = -31*v**3 - 3*v**2 - 3*v + 3. What is b*t(u) + 3*s(u)?\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-41)\/15 - (-41 + 38). Let r(a) be the first derivative of -a**2 + 1\/2*a**4 + 1 + f*a**3 - 4\/5*a. Solve r(y) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3536701 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzlmbllk. Give prob of picking 1 l and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -38\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 664, 1090, 1826, 2896, 4324?\nAnswer: 6134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6538116 by 2.\nAnswer: -3269058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y + 364. Let r(m) = -9*m**3 + m**2 + 2. What is -r(l) - 2*t(l)?\nAnswer: 9*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u - 210. Let h = -41 - u. Let g = h - -4. Solve 0 = 4*x - 4*m - 24, -9 = 3*x - x + g*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21993050 divided by 2.\nAnswer: -10996525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -76, -88, -114, -160, -232, -336, -478, -664?\n\"Answer: -t**3 - t**2 - 2*t - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*z - 3500*j**3 + 19*j**2 - 2*z - 15 wrt j.\nAnswer: 6*z - 21000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 * -142121.2.\nAnswer: 16059695.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 278260.51 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 16.081458 months?\nAnswer: 1.3401215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*(2 + sqrt(2448)))**2.\nAnswer: 144*sqrt(17) + 22036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2499\/(-1190)*(2992\/(-224) - -13).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3780 and 720.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5226224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216002 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*h = -18, 0 = -2*s + s + 4*h + 15. Suppose -78 = -s*v - 24. Calculate the highest common factor of v and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**2 - 42*l + 14. Determine h(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 7\/123842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-30))\/(4\/((-80)\/(-30)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*t**2 - 5755*h**2*t + 142213*h**2 - 6*h*t**2 + 2 with respect to t.\nAnswer: 2*h**2*t - 5755*h**2 - 12*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 = 2. What is the remainder when (-3)\/((-75)\/(-35))*(3 + 0 - 13) is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((6 - 1)*(-91)\/(-65))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.12, 2, 1, -0.32461, 12, -4?\nAnswer: -0.32461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**8\/28 - 16*i**7\/21 - i**4\/3 + 9*i**2\/2 + 11*i - 1. What is the third derivative of n(y) wrt y?\nAnswer: 240*y**3 - 1920*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-27 + (17 - (26 - 12))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356907712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 1793.\nAnswer: 3586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 35 = -95. Suppose -816 = -x*a + 22*a. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 0.1057?\nAnswer: 1.8943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 441468977 to the power of 1\/2, to the nearest integer?\nAnswer: 21011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 + -160. What are the prime factors of (-767)\/n + 1 + (-15)\/20?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 6*q + 562. Determine p(22).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96440.84ng in micrograms?\nAnswer: 96.44084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -31. Let v = -431 + 431.4. Sort -3\/2, q, v, 1.\nAnswer: -3\/2, v, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8606404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8820 and 16884.\nAnswer: 590940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 909, 882, 855, 828, 801?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -191, -368, -545, -722?\n\"Answer: -177*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {y: 4, m: 5, u: 2, g: 7}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 1079?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 12\/(-2) - -3. Let x be ((0\/5)\/5)\/d. Suppose x*a + 4 = a. Which is bigger: 17\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 23 - 3) + 24\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 22 + 1436*y.\nAnswer: 1436*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6674625 and 12375.\nAnswer: 73420875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33278565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 82, 104, 134, 172, 218, 272?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {a: 5, r: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 101\/4, -0.5, 1, 1\/6.\nAnswer: -3\/2, -0.5, 1\/6, 1, 101\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16770 divided by -12?\nAnswer: 2795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 + (3 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82404 divided by -27468.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Suppose -4*r + 0*r + 4 = 0. Let x be (-20)\/30*r\/(-3). Which is the closest to 1\/4? (a) -1\/3 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.7 + -13.7. What is the second smallest value in 8, b, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*k**3*q - 4*k**3 + 2*k*q - 292*q + 2 wrt k?\nAnswer: -30*k**2*q - 12*k**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7))**2 + -3 - (sqrt(35)\/(sqrt(5) + sqrt(5)*2) - sqrt(7)).\nAnswer: 2*sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156 - -181. What is the remainder when (-222)\/2*(-4)\/6 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106580.8 nanoseconds to milliseconds.\nAnswer: 0.1065808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 473, 974, 1685, 2612, 3761, 5138, 6749?\nAnswer: 8600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/(sqrt(28)\/sqrt(4)) - sqrt(152)\/(sqrt(32)\/sqrt(4))) + 3*sqrt(76)*4)**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*v**4 - 2*v**3 - 1163*v**2 - 31775 with respect to v.\nAnswer: 12*v**3 - 6*v**2 - 2326*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-175)*-45)\/((-40)\/140) - (1 + 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n + 3*n - 3*n)*(-183*n + 388*n + 339*n).\nAnswer: -3808*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -72, -334, 0.01?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 569, 1137, 1695, 2237, 2757, 3249?\n\"Answer: -o**3 + o**2 + 572*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18442494 is divided by 335318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2304 + -5?\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-3))\/(((-10)\/6)\/((-145)\/(-18)))?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 468856373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 54*g**2 - 100*g - 48.\nAnswer: 2*(g - 6)*(g + 1)**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/9? (a) -3 (b) -2\/7 (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 15. Let r be z(-5). Let d(o) = -2 + r*o**2 + 10*o - 3*o + o**2. Determine d(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*g**3 - 5*g**3 - 3*g**3 - g**3 + 5*g**3)*(116*g + 283*g + 139*g) in the form w*g**4 + r + t*g**3 + u*g + d*g**2 and give w.\nAnswer: -6456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*l - 27, -6*l + 3856 = 3*j + 3889 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23\/85 + 6\/85. Which is the nearest to -2\/7? (a) -5 (b) 5\/4 (c) -0.5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2960 or -2967?\nAnswer: -2960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -354*j + 81040. What is b(229)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -344 - -324. Let b(c) = c**2 + 8*c + 143. What is the units digit of b(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 64?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098791 - 4205.6?\nAnswer: -4205.698791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*p + 5*p = 194, -2*o = -4*p + 18*p - 110 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*c**2 + 33*c**2 + 9305*c + 26*c**2.\nAnswer: -c**2 + 9305*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*x**3 + 504*x**2 - 429*x - 36.\nAnswer: -3*(x - 12)*(x - 1)*(13*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 33*f**2 + 61*f + 44. Let m be t(31). Let o be (-16 + m)*(-20)\/6. Let b(v) = -v**2 + 10*v + 11. Determine b(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580 - 706 = -21*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 111216945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 191 - 165. Suppose 5*w - 4*o + k = -7, -4*w - o - 18 = 0. Which is greater: -6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 6. Solve -k = b*k - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99323 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/24*100\/(-575)*(-11)\/((-121)\/22).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-140))\/(6\/40).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g. Suppose -5*w + 0*w = -20. Let u be (-116)\/696 - 21\/(-18). Let c(m) = -11*m**2 - 4*m - 1. What is u*c(y) + w*n(y)?\nAnswer: -7*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 2*o - 2*o + (-1 + 1 + 1)*(1 + o - 1) + 2*o + 1 - 1 - 406*o + 217*o + 243*o - 1.\nAnswer: 60*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4770 - -9230. Round c to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 170990\/170 + (-3)\/(-17).\nAnswer: 7042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14243312 + -130414?\nAnswer: -14424231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -0*u + 8*u. Suppose -2*v + 2*y = -u, -2*v - 2*v - 2*y = -16. Solve v*h - 4*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 2*d**2 + 12*d + 46. What is m(0)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34707173*s**3 + 121889096*s?\nAnswer: 208243038*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 + -119 - (-1 - (1 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356, -397, -450, -521, -616, -741?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w + 2 = 28*w. What is the third derivative of -6*z**3 + 4*z**3 - 23*z**w + 29*z**2 wrt z?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -996 divided by 249\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 891 - 5*f**3 + 293 - 2*f**2 + 298 + 297. Give w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 + 26*s - 74 - 25*s.\nAnswer: s + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 112445910 to the power of 1\/2, to the nearest integer?\nAnswer: 10604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 0.0168848?\nAnswer: -0.01013088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*w - 409*w - 1 + 5*w + 0 - 1 to the form r*w + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/841555 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6489 and 693?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1 + 3 - c - 5 + 0. Suppose -n + 2 = -2*n, 3*n = -2*b - 18. Let s(k) = -k - 1. Calculate b*s(q) + 5*f(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -16302*l**2 + 80*l. Let u(t) = 3260*t**2 - 15*t. Give 16*u(a) + 3*y(a).\nAnswer: 3254*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 3, 189.3, -2\/5.\nAnswer: -2\/5, 2\/13, 3, 189.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14685 - 14655. Solve -6*s = -n - 12 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 411, 934, 1567, 2310, 3163, 4126?\n\"Answer: 55*v**2 + 358*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615506, 615514, 615556, 615650, 615814, 616066, 616424, 616906?\nAnswer: 617530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*j**2*k**2 - c*j*k**2 - c*j*k + 7*c*k**2 - 3*j**2*k**2 + 51*j**2 + j*k wrt j.\nAnswer: 4*c*k**2 - 6*k**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/1)\/2*(3 - -7). Let z = r + -6. Solve 5 = -z*w + 5*f, w - 3*f + 3 = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28123.5 - -28123. What is the closest to 0.3 in n, -2154, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 11*l + 60. Calculate the remainder when 35 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/3)*((((b*b\/b**(-2))\/b)\/b)\/b)\/b)\/(b*(((b\/(b*b**1))\/b)\/b)\/b)**22)**(-7\/9))**25 assuming b is positive.\nAnswer: b**(-34475\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1764))\/(sqrt(48)*-2) - (6*(sqrt(75) + (0 + sqrt(75))**2) + (sqrt(75) - sqrt(75)*-1 - sqrt(75))**2*-3).\nAnswer: -225 - 127*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32055235 a multiple of 1355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 380*t + 2784.\nAnswer: 4*(t + 8)*(t + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212 - -10?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 6*d + 3. Let w be m(-5). Let i = w + -3. What is the lowest common multiple of i and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6502689891?\nAnswer: 3, 67, 10783897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 14, 9, 4?\n\"Answer: -5*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*x, -5*l - 5*x + 32120 = -46595. Is (-6)\/(-8) - (0 + l\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5296306?\nAnswer: 2, 193, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 90 - 235 + 6*c + 79 + 67. Let t(f) = -30*f. Give t(d(l)).\nAnswer: -180*l - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 - 107 - 74*n)*(10 - 10 + 10*n).\nAnswer: -740*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553 (base 15) to base 12.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s + 3. Suppose -2*a = -a. Let x be o(a). Let f be 4\/1 - (x - 3). Solve -k + 3*k = -f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 7:39 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43.85 + -13.8. Let t = p + -28. Let o = t - -16.75. Round o to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g - 10*g - 35*g + 5. Is q(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 5. Let u be (-91)\/(-21) + (-1)\/3. Let c be g(u). What is the greatest common divisor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:09 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffa when four letters picked without replacement from faff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 39645515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22783105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2434932587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16\/19 or -2?\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/68 and ((-7)\/16)\/((-36)\/(-912)).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a factor of 255789402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116620\/3 + -38873. Sort 11, i, 29, -2\/15 in descending order.\nAnswer: 29, 11, i, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1 = 27. Let z = v - -9. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5556422.7 rounded to the nearest 100000?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -23, -24, -27, -32?\n\"Answer: -p**2 + 4*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21721451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/70 + 1\/21*402?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*u - 2 = 2, 0 = -z + u - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34886 is divided by 8585?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.8 and 81.2?\nAnswer: -795.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.9613847 to one dp.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 52\/29, 3, 77?\nAnswer: 52\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1104 and 15?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26535284 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 17*c + 122. Does 29 divide q(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-63448)\/(-176) - 2\/4*1 and 440.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvdddvdd. Give prob of picking 3 d.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 6*v**2 - 2*v - 6. Let k be c(-6). Let w be (4\/(-8) + 1)*k. Solve 4*l + w = 3*u - 16, -5*l = -u + 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 9*t**2 - 30 + 0*t - t**2 + 0*t + (-4*t + 3*t - 3*t)*(t - t - t))*(5*t - 2*t - 2*t)*(3 - 3 + 1)*(1 + 0 - 2).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-4)\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 867799149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*j + 9. Let r(n) = n**3 - 5*n**2 + 5*n - 1. Let v be -2*1*(-2 - 0). Let y be r(v). Solve -j = -2*u + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 201068402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 196*u**2 - 30*u + 20. List the prime factors of k(-3).\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 28 = 3. Suppose 0 = 24*u - 25*u - 3, -5*u + 32970 = 5*s. Suppose -x*i + 15508 = -s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2 - (-23 + 11)) + 12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 - 5*h**4 + 4*h**4)*(-64 + 76 + 112).\nAnswer: -372*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5\/7 + 184*h**4\/7 - 4624*h**3\/7 + 16652*h**2\/7 + 6846*h + 3780 = 0.\nAnswer: -1, 7, 42, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u - 76. Let i = -155 + 139. Let n = u + i. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 157973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p**2 - p + 26. Is 13 a factor of w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 239*b**5\/20 - 10*b**3 - b - 109. Find the second derivative of c(r) wrt r.\nAnswer: 1434*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**6\/120 + v**5\/60 - v**3\/6 + v**2 - 186*v - 3. Let o(c) = 5*c**3 - 12*c**2 - c + 4. Determine -4*j(x) - o(x).\nAnswer: -x**3 + 8*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-260 + -12)*14\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15853940 a multiple of 1474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357954729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015196794 to 6 decimal places.\nAnswer: -0.015197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*q - 44, -5*q + 2*z = z + 85. Let g be 94\/18 - q\/(-81). Let f be (20 + -5)\/(-3) + g. Solve -5*c = 2*y + 21, f*y + 3*y - 4*c = 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -104. Let w(x) = -x**2 - 15*x + 333. Let f(k) = 3*s(k) + w(k). Determine f(-15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - 10*w + 2. Let y = 17 - 9. Suppose v - 5 = -6. Let s(t) = -t. Determine v*h(f) + y*s(f).\nAnswer: 2*f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1181*w + 673*w - 122*w - 133*w - 79950 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44409.7 times -0.63?\nAnswer: -27978.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2934 divided by 5.\nAnswer: 2934\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -4*r - 1\/2*r**2 - 4. Give d(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -758\/9 - -84. Let n = -2344 - -2344. Let f = -13 - -17. Which is the nearest to n? (a) 0 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2167627*w + 19508640. Determine l(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282409979?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*g - 231 + 651 + 691 = -6455 for g.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12*-16)\/(3*(-2)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 211?\nAnswer: -21.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/723 and -49\/10?\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*f - 17197 + 17197 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5186.\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**3\/6 - 2*r**2 - r. Let w be l(-8). Find the third derivative of -3*c**w - c**2 + 4*c**4 - c**2 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 186?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 - 2*x + 2. Let b = -1284 - -1281. Let d(q) = 3*q**2 - 2*q + 2. Determine b*d(p) + 2*c(p).\nAnswer: -3*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-8) + (-3 - 4\/(-5)). Which is the closest to -3\/5? (a) 0 (b) 5 (c) -1\/5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1014, -3, 6 in decreasing order.\nAnswer: 1014, 6, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -10. Let v = -3\/5 - -14\/15. Let q = -130\/259 - -8\/37. Which is the biggest value? (a) v (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1347, 1346, 1345?\nAnswer: 1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -105*v**2 - 7*v + 55. Let p(j) = -35*j**2 - 3*j + 20. Let g(d) = -4*b(d) + 11*p(d). Let z(s) = 53*s**2 - 8*s. Determine 8*g(y) - 5*z(y).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 8*a**2 + 0*a - 1\/24*a**4 - 1\/60*a**5 + 0 - 1\/2*a**3. Let d = -1 - -1. Determine f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-30))**16 assuming g is positive.\nAnswer: g**496","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-70)*-2*2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229\/12 + -58\/3. Sort b, -11, -3, -0.5 in descending order.\nAnswer: b, -0.5, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*u**3 + 74*u**3 + 81*u**3 + 3 + 75*u**3 + 85*u**3.\nAnswer: 12*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18012 is divided by 818.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*r - 21*r - 28*r - 28*r - 52 - 22*r.\nAnswer: -11*r - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -508467*3\nAnswer: -1525401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4\/16)\/(177\/236)*-3*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*l + 9 = -a, 3*a - 37 = -4*l. Solve k + 6*k = -a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 7*k + 2. Let h = 305201 - 305197. What is the lowest common multiple of v(-7) and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1475)\/(-45) - (-2)\/9. Let p = -12 + a. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*(354\/8)\/(-3) and (-2 - (-365)\/(-30)) + 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3500\/280*16820\/25 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -197452567591 - 0.3.\nAnswer: -197452567591.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 81 + 109 = i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 6*b + 2. Let y be d(-6). Let l(c) = -c - 2*c + y*c. Give l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 78451.88 millennia?\nAnswer: 941422560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -4, -2, 38, -3 in ascending order.\nAnswer: -4, -3, -2, 19, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 19*y + 15. Let o be s(20). Let z(i) be the third derivative of -i**4\/8 + 2*i**3\/3 + 8*i**2. Let w(c) = -6*c + 7. Determine o*z(d) + 3*w(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -14, -3, -1 in increasing order.\nAnswer: -14, -3, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120102002210 (base 3) in base 15?\nAnswer: 5ed29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114528051 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -14\/5781 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 782 + -782.0003151. What is u rounded to five decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 28 + 3 - (0 + -6)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p**2 - 3*p + 6. Calculate the remainder when w(4) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3909249 < -3909249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2314 and 4082.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350841*k**3 + 3*k**2 + 2668*k + 16 wrt k?\nAnswer: 2105046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4453121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-594)\/(-561)*(-4148)\/(-183).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1085, -4339, -9763, -17357, -27121, -39055, -53159?\n\"Answer: -1085*r**2 + r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16538?\nAnswer: 2, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -49. Let l = t + 34. What is the remainder when ((-62)\/(-4))\/((-1)\/(-2)) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, v: 2, m: 11, g: 2}. What is prob of sequence mppm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 59.4594 minutes?\nAnswer: 0.00589875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46718, -93689, -140660, -187631, -234602?\nAnswer: -281573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368916553?\nAnswer: 181, 269, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.053 + 6.253. Let h = 342 + -334.39. Let s = h - r. What is s rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000884 to 6 dps.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 4\/2)*16\/(-6). Is (-307)\/((-28)\/m - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 11*v**4 + 9*v**3 + 11*v**2 - 10*v.\nAnswer: v*(v - 10)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 1192, 2516, 4318, 6592, 9332, 12532?\nAnswer: 16186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - r**2 + r. Let a(m) = m**2 + 6*m. Let i(v) = a(v) + u(v). What is the second derivative of i(w) wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191750170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -277856 + 392043. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58475849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 1408*m - 1411*m = -18, 0 = -2*z - 5*m - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 divided by -9?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 17523\nAnswer: 1\/17523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 342?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*o**3 - 33*o**3 - 73*o**3.\nAnswer: -45*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22107.88*-4.\nAnswer: -88431.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 u, and 1 p when three letters picked without replacement from pcvpucpcpcu.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 2812*p**2 + 492800*p - 495616.\nAnswer: 4*(p - 1)*(p + 352)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -i - 324. Let s = 272\/5 - i. Sort -3, 6, s in decreasing order.\nAnswer: 6, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.36 + 33.64. Let x = l - 29. What is the smallest value in 4\/9, -1\/5, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-16)\/5)*(-10)\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnhnnhnhnn. Give prob of sequence hhnh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 10. Let x(d) = 10. Let k(j) = -3*o(j) - 4*x(j). Let s be k(-7). Calculate the highest common factor of s and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 0.2 (c) 4.3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 54 = 2*q, -22*q - 5 = -23*q - 3*p. Suppose 19*v = 192 + q. What is the smallest value in v, 3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1139\/9 + 135. Find the common denominator of j and 650\/(-1872) + 1\/8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 7*j + 4*j + (1 + 0 + 0)*(6*j + 0*j - 4*j))*(-3*j + 854 - 854).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-2) + (-8 - -4). Is 4\/9 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 6*t + 4*b - 156, t = -5*b + 47. Determine k, given that -3*k - 4*k - 36 - 5*k + 40*k**2 - t*k**2 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 0.1098734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -3*d + 15, 2*y - 2*d - 5 - 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1111 and 12928.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 - -180. What is the second biggest value in l, -2, -6, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l**3 + 4*l**2 + 8*l + 1. Let i be ((-48)\/200*-5)\/(2\/(-5)). Calculate the remainder when q(i) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w**3 - w**2 - 2*w - 2. Give v(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bb - 2?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 19 + 51. Let s = 4.479134 + 0.520866. Which is the nearest to s? (a) 0 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 29, -10, 4 in ascending order.\nAnswer: -10, 0, 3, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 11. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 71.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99142380 and 810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4952539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 110478, 110479, 110480, 110481, 110482, 110483?\n\"Answer: i + 110477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026154583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 0 + 190 + -168\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2646.8 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 825 and 49140.\nAnswer: 2702700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 5*u + 2. What is n(-6)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*3*33\/99\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 + 91. What is the closest to a in -5, 0.4, 6, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9034 = 9*b - 3566. Let z = -28023\/20 + b. Calculate the common denominator of z and 59\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 430 = -3*m + 5*m, -435 = -4*a - 3*m. Let r be -9*(1\/(-3) + -1). Calculate the highest common divisor of a and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -585*g**5 + 17*g**2 - 15*g wrt g?\nAnswer: -35100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x - 17. Let h = 30 - 35. What is the smallest common multiple of 30 and k(h)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 18*x + 32. Let r be t(16). Solve -9 + 3 = -5*m - 4*n, r = 4*n + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11147 - -11149. What is the closest to 1 in 58, 0.1, s, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -599.958 and -0.636?\nAnswer: 381.573288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/(-20))\/(-13)*(-2)\/(-6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301.398631328 - -17.\nAnswer: -284.398631328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 - 12*m**2 + 4*m**2 + (0*m + m + 2*m)*(-m - m + 0*m).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 q when three letters picked without replacement from maqrrmqarqmqqmr?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Let c be 4*(1\/k + -1). Let u be 1\/(-2)*(-2)\/c. Sort u, -3, -1\/9 in ascending order.\nAnswer: -3, u, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 1615*o**3 + 229*o**2 - 2*o - 5074. Find the second derivative of i(u) wrt u.\nAnswer: 9690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131973*s + 109*s**3 + 131975*s - 58*s**3 - 57*s**3.\nAnswer: -6*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 22*c + 15. What is u(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 18685801 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 4*i**3 + i**3)*(i**2 + 0*i**2 + 0*i**2) + (3 - 2*i - 3)*(-1735*i**4 + 2*i**3 + 6*i + 840*i**4 + 583*i**4).\nAnswer: 627*i**5 - 4*i**4 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = v - 17, v + 4*v - 45 = -5*d. Suppose 4*q + 2 = -2*p, 2 = q - p - v. Solve -6*s + q*s + 8 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/12 and -91\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(24) - sqrt(6)))\/((sqrt(3) - sqrt(147))*6).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 89708, 179695, 269680, 359663, 449644, 539623?\n\"Answer: -o**2 + 89990*o - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -4692 and 16760 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 204610 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594 divided by -18.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z - 23*z + 5 + 1 - 3. Let b(c) = -11*c + 4. Give -3*b(l) + 4*y(l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -24 (c) -109 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**4\/5 - 3148*m**3\/5 + 11672*m**2 + 320944*m\/5 - 170016 = 0. Calculate m.\nAnswer: -805, -6, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 1 (c) 3 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 2, 0.4, -5, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m**6*m))*m*m*m\/m**4)**44 assuming m is positive.\nAnswer: m**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boobsbhobb. What is prob of sequence so?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 + 3*f + 4. Let g(q) = -6*q**2 - 4*q - 5. Let v(d) = 4*g(d) + 5*j(d). Let y(o) = 2*o**3 - 12*o**2 + 12*o + 2. Determine -12*v(c) - y(c).\nAnswer: -2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2800?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11537217\/1585 - 7279. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 4*w = 242 - 148, 25 = 3*f + w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*i - 5 = 0, -l - i - 6 = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 8*w - 26. What is the tens digit of w + (-87901)\/(-110) - 2\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44609282 to the power of 1\/2, to the nearest integer?\nAnswer: 6679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 2*5\/(-10) + 8.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3597 and -47\/327?\nAnswer: 3597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 1028412?\nAnswer: 1028412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 9, u: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58341*a + 2862 = 56910*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6564290 or 6564303?\nAnswer: 6564290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.54 - 21.54. Let o = -18 - l. Which is the fourth biggest value? (a) 5 (b) -3 (c) 0.2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18502 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/20 + 3*a**4\/4 + 13*a**3\/6 - 5*a**2\/2 + 7*a. Let j be f(-7). Solve -8 = -2*k - 3*d, -d = j*d - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {e: 9, b: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 476.2971mm to centimeters.\nAnswer: 47.62971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65960493 by 1293343.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9451218 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14662 - -1643?\nAnswer: -13016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1646 = 201*p - 917*p + 214 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3 + 248*d**2 + 244*d = 0. What is d?\nAnswer: -61, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1453 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -40, 4.\nAnswer: -55, -40, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11511.\nAnswer: 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2. Let u be ((-96)\/(-20))\/(15\/(-100)). Let d(c) = -24*c**2 - 32*c - 32. Let k(a) = -a - 1. Let w(p) = u*k(p) + d(p). Give w(j(g)).\nAnswer: -384*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s - 4*q - 4, 0 = 4*q. Suppose s*j - 1 + 7 = -o, -3*j - 20 = -4*o. Sort o, -1, 0.\nAnswer: -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 4*w + 4. Let n be ((-8)\/10)\/((-9)\/45). Let t be q(n). Suppose t*d - d = 6. Solve 4*a - d = 5*l + 5, -3*l + a = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2728.\nAnswer: 3\/2728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16859212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*r**4 - 3*r - 5*r - 38*r**4 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b - 768 = 3*i, 0 = i - 4*b + 262. Let o = i + 446. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/19 (b) -1\/4 (c) 0 (d) 7\/2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 8. Let i(u) = -2*u**2. Let h be i(1). Let k(l) = -l**3 + l**2 + 2. Calculate the lowest common multiple of s(2) and k(h).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -2 + s + 0*s**4 + 73\/20*s**5 + 149\/2*s**2 + 0*s**3. What is the derivative of d(o) wrt o?\nAnswer: 219*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 26023952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 2, f: 1, k: 1, q: 2, r: 1}. What is prob of sequence zznk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*m - 31. Suppose -4*h + 3*s = -55, -5*s = 88 - 103. Calculate the remainder when m is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167460011*a**4 - 22306358*a.\nAnswer: 2009520132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x - 12. Suppose -2*z = o + 2, -4*o - o - 2*z - 34 = 0. Let u be d(o). What is the highest common factor of 36 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*y = y + 76, 0 = -3*y + 12. Let t = -10 + a. What is the second derivative of -t*g + g**2 - 6*g**2 - g + 0*g**2 wrt g?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 4. Let z be r(20). Let y be 1184\/256 + 6\/z. Suppose -y*k + 5307 = -5558. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19252 is divided by 9519.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a - 1. Let u(b) = -6*b. Let p(m) = -5*r(m) - 4*u(m). Let c be p(5). Suppose 5*g - 23 - 12 = c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.53 and 0.1.\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3802 - 3391. Calculate the remainder when u is divided by 134.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3087 and 2280.\nAnswer: 2346120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 75244*c + 6755760.\nAnswer: 2*(c + 90)*(c + 37532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p + 2775 - 3821 = 2216 + 2495 for p.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4354.061 years to decades.\nAnswer: 435.4061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-214 + 212 + (-188)\/(-90))\/((-20)\/(-250)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -54.432 (b) 1\/7 (c) 11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2867455 divided by -3\nAnswer: 2867455\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 56 + 26 + 6*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k + 249 = 501. Let f(x) = -2*x**2 + 13*x + 33. Give f(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 0 + -5 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -1 + 117\/30)\/(30\/(-12))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (17\/((-408)\/256))\/((-2)\/(-21)). Which is bigger: -114 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v**4 + 16*v**4 + 5*v**4)*(v + 1 - 1).\nAnswer: 36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k**3 - k**2 - k. Suppose -5*o = -5*c - 30, 5*o + 2*c + 2 = 11. Suppose 6 = -3*b + o. Give j(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 13*a**2 + 96*a - 62. Let d(w) = 6*w**2 - 48*w + 30. Let c(o) = 5*d(o) + 3*m(o). Find h such that c(h) = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*v - 41 = -3*l, -l + v = -7. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 12*a - 2*a)*(7*a**3 - 17*a**3 - 5*a**3) - 28*a**3 + 28*a**3 - 7*a**4.\nAnswer: 203*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9836.585 tonnes in milligrams?\nAnswer: 9836585000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108*-0.31273.\nAnswer: 33.77484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9345 is divided by 3114.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178*n**5 - 3*n**3 - 2*n**2 + 5286*n?\nAnswer: -3560*n**3 - 18*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4 + 90*m**3 + 1285*m**2 - 4500*m + 3124 = 0.\nAnswer: -71, -22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 + 71 + 65 + 1028*u.\nAnswer: 1028*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.43 (b) -3 (c) 0.4 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, k: 9}. What is prob of sequence knk?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2)*32\/(-24). Suppose -i - 4*a = 2, -3*i - 3*a + 58 = q*i. What is the highest common divisor of i and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 7)*(-5*x**3 + 5*x**2 - 5*x**2) + (x**2 - x**2 - 2*x**3)*(7 - 2 - 4) + x**3 + 1 - 1.\nAnswer: 49*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2427664 (base 9) to base 10\nAnswer: -1317847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160328189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = 26*d - 25 + 129 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -152?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.898944 nanograms to milligrams.\nAnswer: 0.000005898944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41860*p**3 - 18752*p**3 - 23106*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by (-4)\/(-10) + (-2 - 324\/(-15))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(560\/128) - 6*4\/6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -90*a**5 - 432201*a**4 + 1197339*a**3 + 4296207*a**2 + 2580375*a + 432450 = 0. Calculate a.\nAnswer: -4805, -3\/2, -2\/5, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -237 - -927. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111011001000 + -110000010110?\nAnswer: -100101011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562733 (base 12) to base 2.\nAnswer: 101001111001110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-2)*(139 + -137) + (-1)\/((-3)\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 4*g**2 + 2*g - 3. Give p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/4)\/(21\/(-14)))\/(71\/1136)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + m - 1. Let v(i) = 3*i**2 - i + 10. Let b(a) = v(a) + 4*w(a). Let h be b(4). Let o be (1\/h)\/(39\/(-26)). Do o and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (sqrt(98) + -4*(0 + sqrt(98)) - sqrt(98)) + (0 + sqrt(72))*-4)*4 + 3)**2.\nAnswer: 2912*sqrt(2) + 86577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjwjjj.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fifzzfrzfifr. What is prob of sequence ffr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134750825.\nAnswer: 5, 11, 490003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + v + 10. Let m be r(0). Let n = m + -6. What is the least common multiple of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15247 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.4 - -2.6. Let g = -9.1 + s. Let u be 1*(-1)\/3*1. What is the closest to 1 in g, -5, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 0*f**3 - 4*f + 0 + 5\/2*f**2 + 1\/6*f**6 + 0*f**4 + 0*f**5. Differentiate g(r) with respect to r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 14. Find the second derivative of 8*k**3 - 4*k**3 - f*k**3 + 6*k wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36385, 1, 4, -4, -8 in decreasing order.\nAnswer: 4, 1, -4, -8, -36385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 42. Suppose -2*h + a + 2 = -f, 14 = 3*h - 4*f. Let n = -6 + 10. Calculate the remainder when h is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(48)\/(-2*sqrt(8) + sqrt(8))))**2 + (sqrt(147) - -5*(sqrt(147) + 0)) + -1*((5 + 1 + sqrt(3) - sqrt(3))**2 + 2) + 2.\nAnswer: -33 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 1, a: 2, m: 1, b: 2}. Give prob of picking 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/2627569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13588 and 2.\nAnswer: -13586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/105 and -5\/77?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 6 = -9*g. Suppose -4*w + g*b + 176 = 0, 5*w - 220 = -0*w - 2*b. What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**2\/5 - 5404*f\/5 - 381138 = 0.\nAnswer: -2285, -417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1626587211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 4)*1\/(-5). Let l be ((-2)\/44*-2)\/(-1). Let r = -418\/5 + 84. Which is the closest to 1? (a) r (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5 - 16*j**4 + 50*j**3 - 76*j**2 + 56*j - 16 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871.2547 kilometers to nanometers.\nAnswer: 871254700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*d - 101*d - 24*d.\nAnswer: -187*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1141*n**5 - 127*n**2 - 3 wrt n.\nAnswer: -68460*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 19 - 5 = 0. Suppose -o*f = -7967 - 18661. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1641, 3279, 4919, 6561?\n\"Answer: q**2 + 1635*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 77250500?\nAnswer: -77250499.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 8*f + 3*f)*(3 + 1 - 2).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*t. Let m = t - 1. Differentiate 0*v - 3 + m*v + 0 - 2*v with respect to v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28740369 and 266?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + 1.8. Which is the nearest to 0? (a) 0 (b) 5\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 5. Let r be 4\/g*((-330)\/4)\/(-11). What is the nearest to r in 1, -2\/3, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 49*h - 32. Let q(l) = l**2 + 21*l - 16. Calculate 4*p(m) - 9*q(m).\nAnswer: -m**2 + 7*m + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -274*j**2 - 2222 - 77*j**2 + 77*j**2 + 2222 as u*j**2 + r + o*j and give u.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9283403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68151187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 1859237.\nAnswer: 1859237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 10 - 2)*(0 - 1 + 0) + 0 - 2 + 1)*(6*r**4 - r**4 + 3*r**4) to p + z*r**3 + s*r**4 + f*r**2 + k*r and give s.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*j + 20. Let d(t) = -t**3 - 18*t**2 - t - 16. Let a be d(-18). Sort a, j, 3 in descending order.\nAnswer: j, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tdttpttkdttptetitt.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + 0.31. Let f = -7.968 + 0.068. Let q = 8 + f. Is n > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 33\/96*4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.545755667 rounded to two decimal places?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Suppose 6*y - 2*y - 28 = 3*k, k = y - 8. Suppose 0 = -3*u + y*d - 31, 5*d + 14 - 54 = 4*u. Sort 0, u, 2, n.\nAnswer: u, 0, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 4:49 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -3344386.\nAnswer: -1\/1672193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, 880, 2015, 3162, 4321, 5492?\nAnswer: 6675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 15 + 8 + 3. Let b be p(7). Solve -2*g + 13 = -b*y, g + y = 6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (105\/60)\/(0 + 2\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338 is divided by 149?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109791 + 219569 - 109778 + 51*z**2 - 9*z**2.\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -45650*z - 639084. Calculate y(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 1, z: 1, j: 3}. Give prob of picking 1 f and 2 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62670960 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*a + 97*p - 95*p = 634, -a + p = -1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {w: 2, m: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5 = 7. Suppose 0 = -g + k + 17. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8313, -33342, -75107, -133614, -208869, -300878, -409647?\n\"Answer: -l**3 - 8362*l**2 + 64*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -548, -811, -1074?\nAnswer: -1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s - 15 - 5 + 55 as m*s + r and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233160 by 46632.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699100 divided by -169910?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (4 + 0 - (-1801 + 1810))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14063489\/120 + -117195. Calculate the common denominator of -17\/24 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 6:25 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.57779 - 0.02121. Let n = o + 2.46. What is n rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172 - 81. Let c = q - 58. What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - (sqrt(117) + 1*sqrt(117)*1)) - (1*sqrt(117) + sqrt(117))*3)\/(-1*sqrt(324)*-2 + 1*sqrt(324)*6).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35624872 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 16*n + 184. Let g(q) = 4*q**2 - 44*q - 551. Let r(u) = 11*f(u) + 4*g(u). Solve r(h) = 0.\nAnswer: -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 + 92 + 28*n)*(3 - 3 - 1 - 2 + 1 - 3 + (-2 + 3 - 2)*(-1 + 1 - 2) + 0 + 1 - 2 + 0 - 2 + 3 - 3 - 1 + 3)*(-3*n + 1 - 1).\nAnswer: 336*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23221743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144.18 - 145. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/4 + 6*q + 143\/4 = 0?\nAnswer: -13, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302 (base 4) to base 8.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2090431 is divided by 160800?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23544947?\nAnswer: 41, 557, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (444\/(-24))\/(1\/10). Let d be (-99)\/(6*2\/(-104)). Let k = d + s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/245 + -44\/1225. Let r = l - 119\/150. Let a = -113\/3 + 38. What is the nearest to a in -1\/12, -5, r?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*(-8)\/(-6) - -311. Suppose -2*l = 5*v - r, -4*l + v = 4*v - 591. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/260 and -53\/32.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.437.\nAnswer: -0.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 - 37*l**3 + 23*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 86*a + 4. Let f be p(1). Let i be (-173 - -1)\/(15\/(f\/(-12))). Suppose 0 = -5*y - 4*x + 388, -x - x - i = -y. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*d - 0*d + 2, 17 = 3*o + 5*d. Suppose o*y - 2 = 3*y. Find the third derivative of 5*s - 5*s + 19*s**y - 3*s**4 - 12*s**2 wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 43*f + 2. Suppose -3*g = -1 - 5. Let q be v(g). Calculate the greatest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102211121102 (base 3) to base 2.\nAnswer: -100111100011000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 0. Suppose -2*t = -m*t. What is the closest to t in -5, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*q**2 - 5 + 89*q**2 + 5.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, l: 2, k: 5}. What is prob of picking 1 g and 1 k?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 15*o - 10 + 20)*(1198*o - 438*o - 130*o).\nAnswer: -9450*o**2 - 1260*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/30)\/(-6))\/(31 - (379800\/(-816))\/(-15))?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2674 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12768 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*q - 0. Suppose 3*m + 2*p - 91 = 0, -q*m + 0*m + 139 = -3*p. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1008) + (sqrt(1008) + -1 - sqrt(1008)) + sqrt(1008))**2 + -4*-3*sqrt(112).\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 1. Let o be q(1). Suppose o = -6*r + 40 - 16. Sort 55, 3, r in increasing order.\nAnswer: 3, r, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983136083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - 11053?\nAnswer: -11108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/7, 0.31, 14, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1077702?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 13 in descending order.\nAnswer: 13, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*t + 23*t - 142*t)*(-2*t**3 - t + t) - 8*t + 4*t**4 + 8*t to the form v*t**3 + a*t**2 + d*t**4 + w + b*t and give d.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*x - 6. Let d = 9 - -2. Calculate the remainder when d is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v + 5. Let q(g) = g - 1. Let c(s) = l(s) + 4*q(s). Let h be c(3). What is the highest common factor of h and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 6 + 4 + 4)*(b + 65*b + 91*b + (5*b + 2*b - 6*b)*(-3 + 2 - 1)).\nAnswer: 2170*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48201165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 10*m - 15. Let i be r(-11). Let j be (i - (-4 + -1)) + -57. Let v = 84 + j. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 7*s - 5*s - 6*s - 7, -145*s - 149*s = -4*f - 295*s - 35 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-158)*(-332)\/(-747)*(-2)\/(-24)*4\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 12. Let w be u(-15). Let n(o) = -10*o + 5*o - w*o. Let j(t) = -t**2 + t. Let k(r) = -8*r**2 + 6*r. Let g(m) = -6*j(m) + k(m). Give n(g(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 718*o - 10194. Give i(-14).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - p - 6 + 0*p. Let u be (-20)\/(-30) - 34\/6. What are the prime factors of c(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*k = -97, 2*v - 2*k + 1390 = 710 + 782 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaue when four letters picked without replacement from awkmakue?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*n**3 + 308*n**3 + 323*n + 168*n.\nAnswer: 353*n**3 + 491*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -224 - -1?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*b)*(0*b - 3*b + b) + b**2 + 11*b + 4*b**2 - 16*b in the form h*b**2 + j*b + x and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 5*t**2 - 1. Let n be c(5). Let h be (0\/1 - 0)\/n. Suppose h = v - 0*v - 2. Solve 0 = 4*a + 3*r - 1, -r + v*r - 5 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1536219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 + 3 = 0, 77 = -4*s - 3*c. Let l = s - -33. Suppose -l*a + 15*a = 8. What is the least common multiple of 6 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Suppose 0 = -o + 3*x + 13, -a*o + 11 = 2*o + 3*x. What is the second derivative of -b + o*b**2 + 2*b + b wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14500 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*v**3 + 18*v**3 + 15*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*g + 22 = 0, 4*g + 4 = y + 5*g. Let h be (-4)\/6 - y\/(-9). Let a be h - (-2 - 1 - 4). Solve 4*x = -a - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 5*t**2 - 4*t + 1. Let p be r(-2). Let s be 6\/p - (-29)\/9. Put 2, 0, s in increasing order.\nAnswer: 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 55. Let b be (5*k)\/(-3*(-5)\/(-3810)). What is b rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + (-2*sqrt(320) + sqrt(320) + sqrt(320) + 2 - (2 + sqrt(320) + 1)))**2 + -4.\nAnswer: -112*sqrt(5) + 365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101772469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 2*x - 2. Let b be p(3). Suppose -5*t = -5*g - 15, b = 2*t - 3. Suppose 0 = 15*k - 11*k + 12. Put k, -2, g in descending order.\nAnswer: g, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1297 - 2595 + 1099 + 3*h - 821.\nAnswer: 3*h - 3614","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.1835 milliseconds to nanoseconds.\nAnswer: 28183500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + q + 6, 12 = -z + 5*z + 2*q. Let o be (z - -3) + 1 + 3 + -5. Solve 3*m = -11 - o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*v + 57332 = -2012*v - 415*v - 936 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -31 (b) -0.5 (c) 3\/4 (d) 0.06 (e) -10239 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5247 = -40*l + 37*l. What are the prime factors of l?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*x**3 - 921*x + 469*x + 449*x + 7*x**2 to t*x**2 + n*x**3 + a + k*x and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046*b + 186*b + 41617 = -814*b - 19763 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 18. Let j be b(6). Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 542 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102413234212 - 0?\nAnswer: 102413234212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 353 = 137. Suppose -f + p = 3*j, 14*f - 16*f - 156 = -5*j. What is the remainder when 127 is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(192)\/(1*sqrt(8)))\/sqrt(2) + -1)*5.\nAnswer: -40*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 257 - 175. What is the first derivative of -4*k - 53*k + t + 23 - 44*k wrt k?\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11434 (base 8) in base 3?\nAnswer: -20201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*n + 327352 + 995256 = 0. What are the prime factors of n?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 26*l + 60. Let n be j(-28). Solve -d - 15 = -n*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/1021)\/(2 - 25\/10). Let r = s + 29605\/2042. Let n = -119\/8 + r. What is the nearest to -1\/3 in 4, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/((-1*sqrt(864) - sqrt(864)) + sqrt(864)).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 2*u + 3. What is the smallest common multiple of 33 and f(6)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:45 PM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -b74 (base 13) to base 7\nAnswer: -5461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -382\/230409 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/6)\/(96\/24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1005 by -201.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a millennium in decades?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2, 0.07, 11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/4 in -3\/5, 0.3, 0.04, -86, -0.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*y - 388, 230 = -2*y + f - 158. Let k = 351 + y. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (50\/(-6))\/(125\/(-150))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 2*x + 4. Let z = -15 - -29. Suppose -2*r = 5*o - z, 3*o - 15 - 6 = 3*r. Let l(q) = -q - 1. Give o*l(v) + a(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 480\/(-216)*(-6)\/(-10).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 4*d + 79. What is k(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 20 = -0. Suppose 87 = -5*j + 382. What is the remainder when j is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 447 = -2*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*c + 16, -5*c = -0*s + 5*s - 20. Suppose 3*v = -3*x + 15, -3*x - 5*v = -2*x - c. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433, -2892, -9587, -22636, -44157, -76268, -121087, -180732?\nAnswer: -257321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = -14*u - 154. What is the smallest common multiple of u and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 - 31 = 42*z + 48 + 41 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 40790 = 34*p - 5*v, 4*p + 2*v = 54396. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 9*o + 58 = 0. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 525 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -23*q**3 - 9*q**2 - 19*q. Let h be (-6578)\/572 - ((-3)\/(-2))\/1. Let p(w) = -11*w**3 - 4*w**2 - 9*w. Calculate h*p(b) + 6*u(b).\nAnswer: 5*b**3 - 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/22 and 89\/(-6) + -3 + 3?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 3:39 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*u + 9, 0*r + r + 2*u = 9. Factor -r*s**3 + 0*s**3 + 13*s**4 + 4*s**2 - 15*s**4 + s**3.\nAnswer: -2*s**2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 569 + -576 + -2 + -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*u - 260*u + u**4 + 131*u - 2 - 308*u**3 + 295*u**3 - 7*u**2 as k*u**3 + s*u**4 + m*u**2 + p*u + i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 2*n + 8, n + 12 - 8 = -5*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 729*g*q**5 - 689*g*q**2 - 87*g*q + g - 46754*q**5 - 2*q**2 - 1 wrt q.\nAnswer: 43740*g*q**2 - 2805240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120122022202 - 12001001?\nAnswer: -120211100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -484 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 + 8*v. Let m be c(6). Suppose -m = 20*y - 1200. Calculate the greatest common divisor of y and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3917097 + -456.836?\nAnswer: -476.2277097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14*u - 123 = -9*u, -78 = -2*j + 2*u. Suppose -5*o = -4*x + j, -60 = -3*x - x - o. Solve -3*c + t = c + x, -4*t + 12 = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -99 + 58 + 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*s + 2*a**3 - 16*a**2*s**2 - 35*a*s**2 + a - 2*s**2 wrt a.\nAnswer: -6*a*s + 12*a - 32*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5506, -10895, -16158, -21289, -26282, -31131, -35830, -40373?\nAnswer: -44754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*w**6 + w**5 - 104*w**2?\nAnswer: -8520*w**3 + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + 5*n - 4*n)*(1 - 1 - 2*n) + 2*n**2 - 4*n**2 + 3*n**2 + 489*n**2 - 136*n**2 - 136*n**2 to l*n**2 + m*n + w and give l.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 37*q = -2310. Suppose -q - 144 = -x. What are the prime factors of x?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 15*f**2 + 44*f**2 + 6*f**2 - 7.\nAnswer: 65*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*n - 175 = 0, 0 = -4*c + 4*n - n + 700. Factor 162*o**2 - 82*o**2 - 170*o + c - 85*o**2.\nAnswer: -5*(o - 1)*(o + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**10*g)\/(g**(4\/11)\/g*g))\/((g\/(g*g\/(g*g*g\/(g*g**(-2\/15)*g)*g)))\/g*g**(3\/8)))**(-44) assuming g is positive.\nAnswer: g**(-13369\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from pjnpsvh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1380 and 28860?\nAnswer: 663780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9 + 18*q + 10*q + 8*q + 12*q - 46*q. Let r(z) = 11 + 131*z - 66*z - 62*z - 1. Give -3*r(s) + 4*t(s).\nAnswer: -s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -25*u - 190. Let p be b(-8). Solve 2*y = p - 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 940*z + 44180.\nAnswer: 5*(z - 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -22 (b) 0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 20 = -5*b, -2*b = -5*c - 3*b + 8. Let t(x) = 1 - x**3 - 4*x**2 - c*x + 0*x**3 + 7*x**3 - 7*x**3. Determine t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 7:49 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13fab4 (base 16) in base 15?\nAnswer: -1ace5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661?\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -43. Is -149*(a\/(-2) - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 - 4*j**2 + j. Let z(x) = -29*x**3 - 24*x**2 + 10*x - 8. Determine 6*k(d) - z(d).\nAnswer: 11*d**3 - 4*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1242 and -5.54.\nAnswer: 6880.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:53 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**3\/6 - 7*i**2\/2 + 4*i. Let b be a(13). Let r be b\/(-10) - (-10)\/(-25). Is 1 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3 - 855 + 684 - 306*k - 262*k + 675 + 66*k**2 = 0.\nAnswer: 1, 14, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(117)*3)**2.\nAnswer: 72*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 428, 0, -1, -2.\nAnswer: -2, -1, 0, 4, 9, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -916, -0.07 in descending order.\nAnswer: 0.4, -0.07, -916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -16, 4 in ascending order.\nAnswer: -16, -5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*z - 294. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86357695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11188187 is divided by 42703.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 - 9*v + 13. Suppose 427 = -189*u - 799 + 92. Let y(s) = -2*s**2 - 5*s + 7. Determine u*d(c) + 11*y(c).\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-725)\/(-58)*16\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**3 + 1604924*k**2 - 224767760*k = 0?\nAnswer: -401371, 0, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 141120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 divided by -2072?\nAnswer: -201\/2072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 120, 169, 212, 249, 280?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + 2*u**2 + 3*u + 4. Let c be 6\/(-4) + 1\/(-2). What is the tens digit of m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 255 and 27787.\nAnswer: 7085685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(112))**2 + 3.\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y. Let i(u) be the first derivative of -70*u**3 - u + 471. Give p(i(k)).\nAnswer: -210*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 9)*(-2*s**2 + s**5 + 2*s**2)*(-55 - 217 - 58).\nAnswer: -3300*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -386, -625, -960, -1391, -1918?\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84891 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*y - 40, 5*t - 50 = y + y. What is the greatest common factor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 + -59. Suppose 27*a - 31*a = -b + 86, -5*a = -5*b + 310. What is the least common multiple of b and m?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*i**3 + 647*i**2 wrt i.\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -727628.9 rounded to the nearest ten thousand?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v. Let r be n(-2). Let u be (-1)\/(-1 + 3\/r). Solve -3*j = -u*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**3 + 92649*p**2\/4 + 11589*p\/2 - 115815\/4 = 0.\nAnswer: -5\/4, 1, 7721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8774 by -5.\nAnswer: -8774\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 17*d - 13. Let u be x(-7). Let g = u + 48. What is the units digit of 239\/5 - (-21)\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/561906 and 109\/186.\nAnswer: 561906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 326*b = -323*b + 7, z + b = 0. Calculate the greatest common divisor of z and 12817.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 11. Suppose u*a + 100 = -a. Let v = -22 - a. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40860, 81557, 122238, 162897, 203528, 244125, 284682, 325193?\n\"Answer: -z**3 - 2*z**2 + 40710*z + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16315 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 745176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 + 513*u - 1024*u - 17*u**2 + 511*u.\nAnswer: -10*u**3 - 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7725867.79744 - 7715920.8. Let a = 9949 - g. Let f = a - 2. Round f to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnznzzzznnzzznznn.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/3*m**2 - 1\/3*m**3 - 11\/3 - 23\/3*m.\nAnswer: -(m + 1)**2*(m + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*x - 4*x = -40, x + 20 = -5*k. Let o be k\/4*(-10 - 2)\/(-3). What is the third smallest value in 0.4, o, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518*m + 518*m - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -744, 188.\nAnswer: -744, 40, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 2, g: 1, b: 1, m: 1, s: 2}. What is prob of sequence bc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169899*u**3*w**3 - 6*u**3*w**2 + u**3*w + 4*u*w**3 - 28521 wrt w.\nAnswer: -1019394*u**3 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4)\/x)\/x**(-1\/4)*x**4*x*x\/x**0 assuming x is positive.\nAnswer: x**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 - -25243.\nAnswer: 25118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 5*z**2 + 4*z + 2. Let g(f) = 2*f**2 - 2*f - 1. Determine 5*g(v) + 2*j(v).\nAnswer: 2*v**3 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 6*x**2 - 6*x - 2. Let m = -1117 - -1120. What is c(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from aarkkrvrakrrv.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w + 3*k + 141, 2*k - 290 = -4*w. Suppose 81 = -4*q + 7*q. What is the greatest common divisor of q and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -3 - (-3 + 0). Let v = -652\/5 + 130. Which is the nearest to v? (a) 1\/11 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147 - (286 + 105 - 140).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -3*z - 3*a, -363*a - 36 = -5*z - 360*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*l**2*p**2 + 37*l**2*p - p wrt p.\nAnswer: -186*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 126*j**2. Let l be (-5)\/20 - ((-39)\/12 + -3). Let i(v) = v**2 + 3*v + 3. Let b(o) = -o - 1. Let x(h) = l*b(h) + 2*i(h). Calculate c(x(g)).\nAnswer: 504*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 5. Let o be a(0). Suppose 0 = -2*m + 10, 4*n - o*m = n - 25. Suppose 0 = -g + 5*t + 41, -3*g + 3*t + 32 + 31 = n. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 549\/4 - 137. Let n = -4 - -7. Let d = n - 2. What is the third smallest value in y, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4496 + 1566 = 0. Let y = s - 4745\/8. Calculate the common denominator of 6\/5 - 2 - (-182)\/(-60) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5221 + 3*g + 4650 - 2*g in the form f + x*g and give f.\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 220*y**3 + 7*y**2 + 2*y - 14. Let k be f(2). Calculate the greatest common factor of 42 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 5:54 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 5. Let g be 74\/14 - 2\/7. Suppose -1 + 0 = -k. Let l(t) = 0*t - k - t + 2 + 1. What is g*l(c) + 2*y(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - ((5 - 10\/5) + -7). Is -216*((-10)\/(-6) + (-20)\/d) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 90. Suppose 3*f + 36 = v. What is the units digit of (1*f)\/(-2 - -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, -42, 2, 6, -2 in descending order.\nAnswer: 6, 3, 2, -2, -13, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjlt when four letters picked without replacement from {j: 1, v: 1, s: 2, t: 1, l: 1, p: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 6. Suppose -312 = -3*m + n*h, 4*m - 3*m - 104 = -2*h. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 + 8*v + 17. Give y(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z + 4*z)*(0 - 3 + 5)*(-2*z + 3*z + z) + 4*z**2 + 0*z**2 - 5*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -139?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3838 (base 13) in base 7?\nAnswer: 32203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137245807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6751202 + 4?\nAnswer: -6751176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2\/3, 1.89?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y - 3. What is the remainder when z(7) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:24 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 549*y + 297. Let l(d) = 3. Let a(j) = g(j) - 4*l(j). Find the first derivative of a(c) wrt c.\nAnswer: 549","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-6))\/((-159)\/4). Is 1 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 171 = 19*f - 16*f, 227 = 4*f - o. Calculate the least common multiple of f and 62.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1243 + -763. Does 96 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(11) + (sqrt(704) - sqrt(11)) + sqrt(11) + sqrt(11)).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1909*i**3 - 1829*i**3 + 3745*i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 - 5*d**4 + d**4)*(-13 + 5*d + 13) - 29*d + 17*d + 12*d - 61*d**5.\nAnswer: -71*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50343411629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 90\/11 (c) 2.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -v + 3, -2*j + 3*v - 4 = 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 540242310 (base 6) to base 5\nAnswer: 4420222411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**3 - 3*x**3 - 6*x**3 - 5*x + 6*x**3 wrt x?\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7557.336 weeks to hours.\nAnswer: 1269632.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001011001001110 - -10001011?\nAnswer: 1100001011011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157243262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*t - 16911 = -3905 + 33170 for t.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15385 divided by 5\nAnswer: -3077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37a77 - -15b?\nAnswer: -37918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 + -126 + (1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4734 and -10\/1512513.\nAnswer: 3025026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 11*c - 4*c - 6*c.\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 11\/3 (c) 2\/897\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2705367 + 2705367 + 9*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**7\/210 - 13*g**6\/120 - g**4\/8 + 5*g**3\/3 - 212*g**2. Find the second derivative of d(i) wrt i.\nAnswer: 12*i**2 - 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236\/3 or 80?\nAnswer: 236\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o*o**(3\/2)*o))*o*o*o\/(o\/(o\/((o\/o**(-1))\/o))))\/((o*o\/(((o\/o**(-1))\/o*o)\/o*o))\/o*o)**(-9))**42 assuming o is positive.\nAnswer: o**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 - 6*d**4 + 2*d**4)*(1 + 2*d - 1) - 45*d**2 + 23*d**5 + 45*d**2 + d**5 + d**3 - 2*d**3 - 2*d**5.\nAnswer: 18*d**5 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/((sqrt(54)\/sqrt(3))\/sqrt(2))*-5.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -62, -74, -102, -152, -230?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, -71 in decreasing order.\nAnswer: 5, 0, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a microgram in nanograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 985*d - 997*d = -70320. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90999?\nAnswer: 3, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + 7*d - 4. Let y(f) = 2*f**2 + 4*f - 2. Suppose -135*q + 132*q + 4 = o, -2*o - 7 = q. What is q*u(p) - 5*y(p)?\nAnswer: -p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -110011111100011001101?\nAnswer: -110011111100011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*g - 30, -2*g = -3*g - 3*d + 7. Let r(m) = m**3 + 4*m**2 - 6*m - 3. Determine r(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30913)\/(-57) + ((-11)\/(-3) - 3). Suppose 0 = 550*b - c*b. Solve b = 6*l - 3*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**2 + 1260*f - 1268. What is j(179)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16617273 a multiple of 1759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - 18581 + 18581.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -541, -1075, -1591, -2089?\nAnswer: -2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -190?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77\/5 of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let b(z) be the first derivative of z**2\/2 + 179*z - 5820. Determine f(b(x)).\nAnswer: -x - 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 9*m - 8. Let n be j(8). Suppose n*c + c = -l + 4, -8 = -3*l + c. Factor 7\/2*w**2 + 1\/2 + 5\/2*w + 3\/2*w**l.\nAnswer: (w + 1)**2*(3*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (66\/(-55))\/(3\/(-2060)). Suppose 0 = 4*s - 4*c - y, -s + 206 = -c - 3*c. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c**2 + 5 - 18*c**3 - 117*c**3 - 5 - 5*c**2 to l*c**2 + p + i*c**3 + z*c and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*j - 7. Let a = 11 + j. Solve -4 - 8 = a*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -3 - (-6 + 30) - (8 + -10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**3\/3 + 1745. Let f(g) = -g + 95. Calculate f(n(j)).\nAnswer: j**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 6*h**2 - 6*h + 10. Let b be k(-7). Let v(r) = -3*r**3 - 3*r**3 + b - 2 + r**2 + 2*r**3 + r. What is the remainder when v(-1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74658\/5 + 15001. Let w = x + -69. Suppose -4\/5*b**3 - w*b**4 - 2\/5 + 4\/5*b**2 + 2\/5*b + 2\/5*b**5 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 - h + 1. Let j be z(1). Let i be 4\/j - 80\/(-24). Suppose 4*m - 53 = 3*m + 5*q, -q - 174 = -i*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 51898, 51996, 52094, 52192, 52290, 52388?\n\"Answer: 98*n + 51800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 33*l**2 - 39*l - 26. Let y be x(-31). Calculate the greatest common factor of 54 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 + 158. Suppose -6*t + g*t = -27. Let n = 37 - t. What is the least common multiple of n and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1613331 (base 7) to base 14\nAnswer: -5ad18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 55 + 5 = 17*z, 2*z = 5*c + 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o**2 - 20*o**2 + 65*o**2 - 12*o**2 - 13*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6072*k*p**3 - 31*k*p + 8*k + 252058*p**3 + 14 with respect to k.\nAnswer: -6072*p**3 - 31*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376247 is divided by 4369.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 93*w**3 + 2*w**2 - 3*w + 2. Let b(d) = -d**2 - 2*d + 9. Let y be b(-4). Is 16 a factor of n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o - 24*o - 98*o - o**3 - 14*o - 3*o - 3.\nAnswer: -o**3 - 166*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*r + 2 = 0, 7*r - 2*r - 1 = -3*o. Suppose -o*g + 14 = -5*y, -5*g - 2*y = -5 - 30. Suppose -g*x = -2*x - 80. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/10*325570\/97671.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**4\/3 + 50*n**3\/3 - 18*n**2 - 50*n\/3 + 52\/3 = 0.\nAnswer: -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3257580007 to the power of 1\/3, to the nearest integer?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.14, -0.4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((22\/(-8))\/1)\/(21\/84). Let j(w) = -4*w + 30. What is the tens digit of j(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 8. Let b(h) = -3*h**2 - 2. Let z be b(-2). Let r = z - -11. Calculate the remainder when 21 is divided by g(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 2*i - 5*q, 4*i - 2*q - 110 = -0*i. Calculate the highest common divisor of 25 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6004532, 6004530, 6004528, 6004526, 6004524, 6004522?\n\"Answer: -2*w + 6004534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3871*h - 1502*h + 243*h - 3161*h + 795936 for h.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2329, 4656, 6983, 9310, 11637?\n\"Answer: 2327*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24189, 24103, 23867, 23403, 22633, 21479, 19863, 17707?\nAnswer: 14933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, f: 5, p: 2, c: 5, l: 1}. What is prob of sequence lpq?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 4*y - 1. Let s be c(-2). Suppose -q - 4*p = -27, q - 2 + 5 = 2*p. Let v be (1 + 1)\/(q\/14). Solve i + t - s = 4*i, -v*t + 12 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -1\/6, 25\/6, 6, 2\/3, 1\/8, -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995 is divided by 144.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 11*g - 48. Calculate j(16).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-10)\/(-4) - 2). Let l = d - 2. Suppose l*r - 18 = -6*r. Which is bigger: 5 or r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187545 divided by 4?\nAnswer: 187545\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssdtene. What is prob of sequence ed?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 578*m**3\/9 - 17306*m**2\/3 + 99238*m - 480378.\nAnswer: 2*(m - 69)*(17*m - 177)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o + 372. What is the tens digit of -7*(1 + o\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 4:00 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**4*y + 7891*s**4 + 23*s**3*y**2 + 2*s**2*y**2 + 1275*s**2*y - s**2 - 641*s*y**2 - y**2 wrt s?\nAnswer: -120*s*y + 189384*s + 138*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -2 + 1 + -1. Let n = x + -2. Let g be 3*(0 + n\/(-15)). Which is greater: g or -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*x - 4*i - 41, -i = -4*x - 21. Let p(a) = -3*a - 20. What is p(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - k - 2*k)*(-18*k**2 + 18*k**2 + 10*k**3 + (-k**3 + 3*k**3 - 3*k**3)*(0 + 5 - 4)) in the form g*k**3 + n*k**2 + x + c*k**4 + s*k and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54810 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = 8*t. Let p(i) = 0*i**2 - 7*i**2 + i**t + 3*i**2. Let w(c) = 9*c**2. What is p(w(v))?\nAnswer: -243*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((152\/(-18))\/(-1))\/((-292)\/(-1314))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2238893*z**3 + 1 + 1119381*z**3 - 1 + 1119263*z**3.\nAnswer: -249*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*sqrt(13)*2)**2 - ((sqrt(208) + sqrt(13))*2 + -4).\nAnswer: -42*sqrt(13) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**2\/6 - 3823*m\/6 - 387980 = 0.\nAnswer: -3063, -760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -644 + -1978723.\nAnswer: -1979367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 42\/105 + 98\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 64*y - 63*y + 6 = 0, 0 = -5*f - 3*y + 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m = 4*c - 100, -3*c = -m - 75. Solve -4*r + 2*p - 7*p - 25 = 0, -5*p - c = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 8*v + 1. Let f be u(9). Let c = -17 - f. What is the units digit of (-6)\/c*3*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.04 (b) 47431 (c) -3\/4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63701 is divided by 859?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, -1, -4, 3 in increasing order.\nAnswer: -30, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/144*8*(-33)\/(-2). Let f(n) = 15*n + 9. Let o(a) = 8*a + 5. Let s(p) = -4*f(p) + 7*o(p). Let q(x) = x + 4 - 1 + 3 + 20*x. What is m*s(t) - 2*q(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - s. Let t(q) be the first derivative of q**4\/4 - 7*q**3\/3 - q + 5. Let z be t(7). Calculate a(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1224 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b + 96. Let k be l(-22). Let h(m) be the second derivative of m**4\/12 - 5*m**3\/3 + 7*m**2 - 118*m. What is h(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 y when four letters picked without replacement from {z: 1, y: 3, j: 3, s: 2, n: 1, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.07 - -0.07. Let d(s) = -s - 25. Let j be d(-22). Let x = 27\/8 + j. What is the second biggest value in x, h, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 24 = 30 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:47 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 - 2*g + 2. Suppose 0 = 2*v - y + 8, -2*v - 22 = 2*v - 5*y. Determine l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3659\nAnswer: 1\/3659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -250, -956, -2058, -3496, -5210, -7140, -9226?\n\"Answer: 10*c**3 - 258*c**2 - 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d - 114. Let h be i(15). Suppose -c + 5*b - 2*b + 5098 = 0, -2*b = h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - o - 34 = -2*q, -8 = -4*q - o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -669 + 669 + 101*l**2.\nAnswer: 101*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 + 770*t**4 - 254645*t**3 - 1818530*t**2 = 0 for t.\nAnswer: -313, -7, 0, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 308*i**5 - 716*i**4 + 516*i**3 - 116*i**2 + 8*i = 0.\nAnswer: 0, 1\/7, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -276643 and -106692.5.\nAnswer: -383335.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c\/(c\/c**(4\/9))*c*c**2*c*c**(-5\/3)\/c)\/(c**(-3\/2)\/c*c**(-2\/3)*c**(4\/3)\/(c*c**(-2\/13)\/c)) assuming c is positive.\nAnswer: c**(1277\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 908213 to the power of 1\/2, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*n - 24. Let t = n + 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40719, -40731, -40743, -40755, -40767, -40779?\nAnswer: -40791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 276541 and -5.13?\nAnswer: -1418655.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -461*j + 439*j - 3*l - 10, 2*j - l + 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4298259367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021376 to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*j + 24 = 0, -116*j = -y - 118*j + 16. What is the greatest common factor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -18\/5. What is the second smallest value in a, 16, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:23 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 g when three letters picked without replacement from gjjjjjjjeeqqjqjgjgq.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 45.39. What is the third biggest value in -1, 0.5, -0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1703)\/(-91) + (-6 - 13). Let j = -4 - -7. Let c = -31\/11 + j. Put d, 0.4, c in descending order.\nAnswer: 0.4, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, w: 3, d: 4, e: 4, l: 4, s: 1}. Give prob of sequence wr.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 96217020 divided by -48108510?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -34?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - c**2 + 0 + 2 + 1.\nAnswer: -c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 111276, 445044, 1001308, 1780068, 2781324, 4005076, 5451324?\n\"Answer: 111248*m**2 + 24*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:29 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*d + 299 = 225*d - 40 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -385*w**2 + 406*w**2 - w**3 + 5*w**3 in the form d + s*w**3 + c*w**2 + u*w and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 l, and 1 s when three letters picked without replacement from sfllffflfls.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7365*f**2 + 3*f - f - 2*f + 3768*f**2 + 3642*f**2.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -10074, -0.3 in descending order.\nAnswer: -0.3, -2, -5, -10074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((112\/(-24))\/(4\/6))\/(5*(-7)\/35)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272424 = -26*j + 2*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*a**4*h - 23902*a**3*h - 311339*h - 3 wrt a.\nAnswer: -36*a**3*h - 71706*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 12. Sort 2, -2, 1, q in increasing order.\nAnswer: -2, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 1254155 = -891553. Let u = -66706 + l. Round u to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 7297.6 (c) -4358\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 440730593 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 20337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 8, 0*d - 4*d - 3*y + 740 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504889451 to the nearest integer?\nAnswer: 22470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -65\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2046 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o + 1. Let z(q) = 8*q + 8. Let h(r) = 3*p(r) - z(r). Give h(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3 - 3*k**3 + 2 + 2*k**2 + 6*k**3. Let w be s(-1). Let c(l) = 4*l**2 + 3*l. Is 4 a factor of c(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362646227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + sqrt(1872) - sqrt(1872)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 319a + -39?\nAnswer: 3161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/701040153 and 4\/189273.\nAnswer: 4907281071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29117.079 + -29101. Round q to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 40 = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevlkvvyvevvvnnvvy. Give prob of sequence ylk.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33.98 and -5.\nAnswer: 169.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/110 - (-44)\/10. Suppose 2 = -3*g + f*g. Suppose 4*l + 22 - 78 = 0. What is the smallest common multiple of g and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 20 - 148 = 0. Suppose 5*h - a*h + 80 = 0. Suppose -2*x = 2*x - 20, 0 = -2*f - 4*x + 130. What is the greatest common divisor of h and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2201 - 27364317*k + 2142 + 27364316*k.\nAnswer: -k - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(13\/39)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -52\/77, -2 in ascending order.\nAnswer: -2, -52\/77, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 43ba (base 13) to base 11\nAnswer: 710a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64340 is divided by 12835?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 18*x = 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112004 is divided by 96?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(-5 - 1 + 5) + 4 - 3 + 3)*(-1 - 7 - 2*o + 4)*(-1 + 2 - 3).\nAnswer: 24*o + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*f - 12*f + 2*f**4 - 12*f + (-2*f**3 + 4*f**3 - 5*f**3)*(-f + f + 2*f) in the form g*f**3 + l*f**4 + r + u*f + y*f**2 and give u.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11375*a**5 + 775*a - 1.\nAnswer: 227500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/3*243\/270\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152185338 or 152185336?\nAnswer: 152185336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01146, -3, -0.05 in decreasing order.\nAnswer: 0.01146, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**3 + 4*a**2 + 5*a + 1. Let p(r) = -6*r**3 + 3*r**2 + 4*r + 1. Let g(t) = 4*m(t) - 5*p(t). What is the remainder when 18 is divided by g(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358, -322, -286, -250, -214?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzjsgzjxz. What is prob of sequence gxs?\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*m + m, -3*s = -3*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -1 - (-1)\/(-3) - (-35860)\/660. Calculate the greatest common factor of t and 23166.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i - 33*i + 64*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**2 - 78*a + 432. Let r be v(10). Calculate the greatest common factor of 184 and r.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c + -1?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*d - 120 + 1678, 3*d - 1252 = -4*p. Suppose -7*c = -89 - p. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 31. Suppose -t*z + 5*a = -4*z + 20, 4*a - 16 = -2*z. Let i be 23\/4 + (4 - 57\/12). Solve z*v = i*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(2\/63))**22 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/78 - 4*u**3\/39 + 4*u**2\/13 + 5*u. Factor d(h).\nAnswer: 2*(h - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 612 = 3*f, 5*s - f + 2*f + 1504 = 0. Let b(c) = -299*c + 422. Let p be b(0). Let j = p + s. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1893*c**2 - 1543*c**2 + 5.\nAnswer: 350*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 8*k**2 + k + 1. Does 5 divide q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 21, 3, 4 in ascending order.\nAnswer: -5, 2, 3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -182*b + 46*b + 62*b + 62*b. Let w(z) be the second derivative of -z**4\/6 + z. Determine w(i(x)).\nAnswer: -288*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -y + 31, 80 = 4*y - 6*l + l. Does 9 divide (-164)\/(-6) - 5\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-50)*-15*(-5)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2109 and 1480?\nAnswer: 84360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000)*3 - (sqrt(20) - (sqrt(180) + 2*sqrt(180) + sqrt(20))))\/(5*sqrt(50)\/(sqrt(20)\/sqrt(36))).\nAnswer: 13*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1575 is divided by 721.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 54 = 4*g + 6, 27 = t + 3*g. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, i: 3, h: 1, y: 1, u: 1}. Give prob of picking 1 y, 1 i, 1 h, and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -745 = -6*n + 623. What is the highest common factor of n and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.066 - 0.066. Let d(a) = 2*a**2 - 36*a + 33. Let r be d(17). Put q, -3, -2\/3, r in ascending order.\nAnswer: -3, r, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 0*h + 2*h)*(-18 + 16 + 47241*h - 41459*h) as n + j*h**2 + z*h and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 60*s + 16 - 382 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:04 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*h = h + 15, 0 = -3*h + 15. Suppose m = 11*z + 6*z - 238. Calculate the highest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c**2 + 20*c - 55. Let p(q) = -q**2 - 16*q - 45. Let g be p(-4). What is the tens digit of x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (21 + -3 + -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p. Suppose 2*o - 4*q - 46 = p, -5*o + 85 = 2*q - 30. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 37450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mryxprpprrmprre. What is prob of picking 1 p, 1 m, and 1 e?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -463 divided by -1\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*h = -267*h + 67*h + 87*h + 1650 for h.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10*k**2 + 8*k + 4. Let f be d(7). Let a be 2\/13 + f\/143. Do 4 and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 29*b**2 - 2 + 4 - 11*b**2 to s + y*b**2 + p*b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/28)\/(39\/(-468))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 95573528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25879 and 0.3?\nAnswer: 7763.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19213*a**3*k + 3*a**3 - 2*a**2*k + 22*a**2 - 135*a - 2 wrt k.\nAnswer: -19213*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*p = -8*p + 170085. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**7\/420 - l**6\/240 + 2*l**5\/15 - 5*l**4\/12 + 599*l**2. Factor f(k).\nAnswer: -k*(k - 2)**2*(k + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -22*y**3 + 30095*y**2 - 650096*y - 29612 = 0?\nAnswer: -1\/22, 22, 1346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3020097 and 6093?\nAnswer: 9060291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4581463 and 2.9.\nAnswer: 13286242.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12*q - 68*q + 86*q.\nAnswer: 6*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojjjjjojjojoj. Give prob of sequence ojo.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/1*(-28 - (-264)\/9). Sort 0.0587, -1, k, -5, 0 in descending order.\nAnswer: 0.0587, 0, -1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -29*d**2 - 27*d - 102. Let k be g(-6). Is k less than or equal to -984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1357, 1358, 1361, 1366, 1373, 1382?\n\"Answer: j**2 - 2*j + 1358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -716 by 358.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -901*o**4\/24 - 421*o**3 - 15*o**2 + 9. Differentiate y(h) wrt h.\nAnswer: -901","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 7*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2985938?\nAnswer: 3\/2985938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b + 31*b = 7420. Let k = -9103 - -27628\/3. Is b not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5692488 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and (-2)\/(-7) + 120\/21?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 17*n**2 + 36*n + 135. Let k be q(-6). What is the greatest common divisor of k and 8466?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - s**2 + 2. Let j be n(0). Suppose 3*f = 2*f + j. What is the units digit of 1\/1 + f - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 31 = 5*m, 0*a + 5*a + 4*m = 30. Let j(h) = -4 - a*h - 3 + 6 - 1. Give j(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.033 (c) 1\/3 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03238 - -0.1.\nAnswer: 0.13238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaxd when four letters picked without replacement from {d: 1, t: 2, x: 2, s: 1, a: 2, w: 5}?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -3 (c) -1\/439604 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/(-10))\/(1\/(-15)). Suppose 3*f = 4*c + 124, -6*f + 2*f + 16 = 0. Let g = c - b. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 17 = -3*n, -4*r = -n - 4*n + 27. What is the highest common factor of 21 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koko when four letters picked without replacement from {o: 8, b: 1, k: 4}?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 3 - s**2 - 1 - 5*s**4 + 8*s**4 in the form n*s**4 + x + y*s**3 + h*s**2 + a*s and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from nttfttnnffqnwqfdnnfq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 18*b + 91. Let i be j(-5). Are i and 2\/65 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f**2 - 2*f - 5. Let v(r) = 150916*r - 2*r**3 - 75462*r - 75449*r + 11 - 3*r**2. Let i = -8 - -3. Calculate i*u(w) - 2*v(w).\nAnswer: -w**3 + w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 1, n: 2}. Give prob of picking 1 l and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1285 and 4804615?\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*w**2 + 3)*(-1 + 3 + 1) + w - w - 2*w**2 - 1 + 1 + 3*w**2 in the form s*w + k + m*w**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4*22\/(-77)*21\/4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(14 + 732\/(-60)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7627297 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6139094 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2.2, -2\/9, -1\/25, -0.5, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6022*i**4 + i**2 + 60*i - 3255473 wrt i?\nAnswer: 24088*i**3 + 2*i + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49620 - 297174179\/5989. Let h = -149707\/107802 - a. What is the common denominator of 2\/5 + 63\/12 and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 69\/35 (b) -0.4 (c) 3\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(51))\/sqrt(3).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -309 + 5*z + 309 - 626*z**2 - 5*z - 1 - z**2 + 1 + (3*z - 3*z - z**2)*(-1 - 4 + 4) - 3*z**2 - 2*z**2 + 6*z**2 in the form q + d*z**2 + b*z and give d.\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 149, -5, -19, 5, -8 in decreasing order.\nAnswer: 149, 5, 2, -5, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14969, 29940, 44911?\n\"Answer: 14971*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 1:13 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-7 - -3) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 12*r**2 + 150*r - 122. Calculate t(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011418853 rounded to 5 decimal places?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - n + 2. Let b(s) = 2*s**3 - 32*s**2 + 2*s - 21. Let f be b(16). Let g be (-94)\/(-8) - 1\/(-4). Suppose -7*w = -f*w - g. Give z(w).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1.5. Let w = 0.07 - -0.93. Let n = 1.1 - w. Which is the nearest to n? (a) -0.5 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 144\/20 + 1196\/20. Let s be 12\/(-16)*4 - (1 - 84). Calculate the highest common divisor of s and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3103993*b**3 + 3*b**2 + 250*b + 11434 wrt b.\nAnswer: 18623958*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 297.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.292517us in seconds?\nAnswer: 0.000000292517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 10*q + 58. What is t(15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(170)\/(sqrt(10)*2 - sqrt(10)) - sqrt(17) - (sqrt(17)*2 + 1 + sqrt(17))).\nAnswer: -15*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*2 + (-154)\/(-56)*36. Calculate the greatest common factor of k and 5510.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l + 24. What is w(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*v = 4*v + 3, 5*v + 6 = -3*a. Let j = a + 14. Suppose 4*n - 187 = -3*t, 0*n + 4*t = -3*n + 135. What is the remainder when n is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 477, -1\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j**3 + 5*j**2 + 0*j**3 - 26 + 25 - 8*j**3 + 2*j. Suppose 0 = -5*n - s - 66, -5*s + 20 = -4*n - 27. Let r = n + 10. Give d(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*l - 1 = -30, -4*l = 9*q + 207 - 215 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4626 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -433.165, 2, 5, -2\/11, -0.3 in increasing order.\nAnswer: -433.165, -0.3, -2\/11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 64325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -82 - -243 - 145 - (-1358)\/(-85)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**2 - 15*f**4 + 3*f**2)*(-4 - 1 + 4) in the form d*f**2 + l*f**4 + u*f + o*f**3 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216040017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 314.452 - 315. Let t = -0.048 - f. What is the fourth smallest value in -2, -2\/13, 1\/14, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 3489*f**4 - 2*f**2 - f**3 - 3490*f**4 + 0*f to g + c*f**2 + j*f**4 + d*f**3 + y*f and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1881 divided by 19.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/60 + d**4\/8 + d**3\/2 + 7*d**2. Calculate u(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10620 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -74*s - 39. Is w(-39) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/((-8)\/(-3775007)) - (-1 + 8). What is m rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(832) - sqrt(832) - sqrt(832))**2 - sqrt(39)\/(sqrt(27)\/sqrt(9)))*3.\nAnswer: -3*sqrt(13) + 22464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {w: 1, p: 2, y: 2, e: 2, t: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6845656, 6845660, 6845674, 6845704, 6845756?\n\"Answer: g**3 - g**2 + 6845656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-112)\/(-6) + 16\/(-24) + -3. Suppose 0*h + 3*h - w = -4*a, -2*h = -3*a + 24. Suppose -4*u - a*u + 90 = 0. Solve 6*m = 3*m - u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66\/7 + 799\/84. Let j = -29.6 - -34.6. Which is the closest to 0.1? (a) h (b) 2\/15 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423728125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -0.13.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*r + 9, -r + 9 = -0*x - x. Suppose 4 = 4*q - r*z + 26, -2*z - 2 = 2*q. Let j(k) = k**3 + 3*k**2 - 3*k - 4. What are the prime factors of j(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82750, -82756, -82774, -82810, -82870, -82960?\nAnswer: -83086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1147227 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/44*(-4)\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 7. Suppose -b = 5*d - 85, -51 = -3*d - 3*b - 2*b. Suppose -d*x = -21*x - 44. Give r(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/(-99) + (-1014)\/1859?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543*d + 14562 = 549*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 2214?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -2)\/((-3)\/21). Let l be (-60)\/18*(1 - g). What is the greatest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, h: 4, u: 2, k: 1}. Give prob of picking 1 k and 3 g.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 33. Let p = n - -24. Let i(m) = 3*m**2 - 3*m + 3. Calculate the remainder when i(-3) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2342.8 - -2343. Sort u, 2\/445, 3\/4 in descending order.\nAnswer: 3\/4, u, 2\/445","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.077?\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 31*t**3 - 2*t**2. Let y(j) = -j**2. Determine p(g) - 2*y(g).\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 8*t - 7. Let r be o(7). Suppose 6 = 3*y - r. Find the first derivative of -4 + 4*h - 4*h + 2*h**y wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/3 + ((-1904240)\/15)\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:24 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/438144 and -127\/16649472?\nAnswer: 16649472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (336\/224)\/(3 - (5061\/2526 + 1)). Which is bigger: j or -404?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 24*x**3 + 2*x**2 - 1. Determine u(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgag when four letters picked without replacement from {g: 3, a: 3, q: 13}?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 10:15 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 700*g**2 + 65. Let w(b) = -126*b. Determine w(k(a)).\nAnswer: -88200*a**2 - 8190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20*z - 675. Suppose 24*g - 122*g = -3185 - 147. What is p(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -3*w**4\/4 + w**3\/6 + w**2. Is q(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 - 16*r - 12. Let z be y(-5). Let b(j) = -j**2 - 6*j + 10. Determine b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + ((9 - -1) + (-73 - -51) - -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-43)\/(-129) + (-24418)\/(-6) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**4\/6 + s**3\/6 - s**2 - 4*s + 2. Let q(x) be the first derivative of k(x). Determine q(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(38)\/sqrt(8) - sqrt(190)\/(sqrt(10)*1))**2 - ((sqrt(684) + 2)**2 - (1 + sqrt(19) + -1))).\nAnswer: 46*sqrt(19) + 2733\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -99, -208, -321, -438, -559, -684, -813?\n\"Answer: -2*f**2 - 103*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65148\/25 + -2606. What is the closest to 0 in u, 0.04, 3, 4\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m + 17. Let b be 2\/(m - 88\/(-20)). Sort b, 0, 1 in ascending order.\nAnswer: 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 249*((-2665)\/255 + 2\/17). Let f = 4334 + d. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u. Let a(q) = -3*q**2 - 9*q + 2. Let n be a(-3). Determine i, given that -i**3 - 3\/2*i**n + i + 3\/2*i**4 + u = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -7. Let h = -3 + c. Calculate the highest common factor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -3*j**4\/8 + 2*j**2. Let z(t) = -t**2. Determine z(c(q)).\nAnswer: -81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112112 - 100001110021?\nAnswer: -100000220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 156, 1, 2, -8, -3\/5?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.400236 decades in years?\nAnswer: 4.00236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/7, -12 in ascending order.\nAnswer: -12, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 - 64*j**3 - 228*j**2 + 5472*j - 5184 = 0. What is j?\nAnswer: -9, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27\/10 - -37\/14. Let m be ((-8020)\/(-588))\/(-5) - -2*1. Let t = m + 3\/49. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2978.\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 25.7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1292026 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/1806 and -87\/430.\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -37 + (-47 - -50)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16438.3 in 0, -40, 1\/9?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34895 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*z + 330 = -57*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**4\/24 + 5*f**3\/6 + 2*f**2. Let c be a(-4). What is the units digit of -1 - -2 - (c + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2958, 2959, 2960, 2961, 2962?\nAnswer: 2963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 3) to base 8\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 306*n + 12997. Calculate v(51).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/888 and (-4505)\/(-68)*30\/(-91575).\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -8430\/107263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 40968.79ug?\nAnswer: 40968790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + z**3 - 2*z**4)*(-6 - 2 - 5)*(-1 - 8 + 0).\nAnswer: -234*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 17737926?\nAnswer: 17737921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 times -0.43?\nAnswer: 18.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = t - 1082, -5*v + 1888 + 282 = 2*t. Suppose -t = 16*d - 24*d. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466028 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185773 and 336.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**3 - 2*p**2 - 2*p - 1. Let o be s(-3). What is the tens digit of (o\/(-6))\/(1\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2. Let l(u) = -3*u - 72. Calculate l(p(w)).\nAnswer: 12*w**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*v + 13 - 69 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*r + 259*r - 180 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -174*l + 2434. Let h be w(14). Let v(y) = 30*y. Let c(z) = -29*z. Give h*v(p) - 3*c(p).\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*i**2 - 1 - 1\/2*i.\nAnswer: (i - 2)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109101 at least -109101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 22*k + 41. Calculate z(23).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/702 and 133\/234?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 1913693.\nAnswer: 1913692.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 15 - 63 = 0. Factor 40*g**3 + 7*g**4 - 3*g**z - 78*g**3 - 12*g**2 + 2*g**5 + 28*g**3.\nAnswer: 2*g**2*(g - 2)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 5*c = 11*w + 58610, -4*c = -3*w + 35159. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1408*y + 5. Is l(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111133471 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*y - 27. Let t be (-12)\/y + 30\/50. What is the greatest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f - 250. Let a be c(-26). Sort a, 3, -3, -4 in increasing order.\nAnswer: a, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18\/17 + 123\/68. Let h = 37 + -41. Let x be (-8)\/2*(-5)\/(-2). What is the biggest value in x, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whhh when four letters picked without replacement from {b: 5, w: 3, h: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-63)\/70)\/(51\/(-2176)*-16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.383949 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-3 + -2 + sqrt(300) - (1 + sqrt(300) + -5))**2 + 1 + -4.\nAnswer: -120*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 24*c + 94. Calculate o(17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-175)\/14)\/(100\/(-40)). Let g(r) = 5*r**2 + 6*r - 6. Let w(y) = 5*y**2 + 7*y - 7. Calculate p*g(j) - 4*w(j).\nAnswer: 5*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*s - 8, 5*c - 3*c + 2*s = 4. Let i = -120 + 123. Solve 0 = -2*l + 6*l + i*k - 8, c = 5*l - k - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 0*u - 3*u)*(-3*u**3 - 3*u**3 + 5*u**3) + 15*u**3 + 5*u**4 - 15*u**3)*(-5 - 4 + 1)*(10 + 8 - 4)*(5 + 2 - 5).\nAnswer: -1568*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from vkdhxkv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u = 3*u + 2542. What is the nearest to -0.1 in 1\/7, u, -0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 65614299.\nAnswer: -262457196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/380493 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -307 + 116. Let k = -210 - r. Let v = -0.8 + -0.2. Which is the second biggest value? (a) 2\/9 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1156.1 + -1156. Let h = 1169\/6490 - -1\/590. Let f be ((-2)\/(-4))\/(2\/(-12)). Which is the closest to 1\/2? (a) y (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2404794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.92 - 2.28. Let y = q + 15.2. Let s be (-124)\/10 - (-4)\/10. Which is greater: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 39 = 4*y - 29, -7*d = y + 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123*1408\/15744*1\/(2\/(-2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3245 * 2025.3.\nAnswer: 657.20985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l + 47 - 2*l + 2*l + 3*l - l**2. Let j be o(14). What is the hundreds digit of (-4)\/j + 34500\/135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*n - q + 778, -n + 5*q = -146. Calculate the highest common divisor of n and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39265982 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 12\/(-4) + 1. Let x be (-3 - -2)\/1*y. Solve x = -2*r + 4*r - 6, -f + 13 = 3*r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15987453 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -971 - -2197. Suppose -3*t + i = -3*i - 1232, 3*t - i - s = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -28.5, 0.3, -1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1416 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -11 - (3 + 0)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5\/7 + 24*f**4\/7 - 27*f**3\/7 - 324*f**2\/7 + 324*f\/7 = 0?\nAnswer: -6, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 50. Let g be -1 + 1 + 0\/(-13). Suppose -9*h + 63 = -k*h + 3*i, -5*h + 3*i + 145 = g. Does h = 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 6276501*u.\nAnswer: 3*u*(u + 2092167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnda when four letters picked without replacement from ndsiininandnxisi.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 2 = 0. Let d(j) = -10*j**2 + 6 + 9*j**2 + 2*j + 0*j. Let b be d(3). Solve b = c + r*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/55, -22, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253102.\nAnswer: 2, 126551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 6*a**2 + 7*a - 6. Let h be c(5). Let r = 15 + -16. Sort h, 1, r in decreasing order.\nAnswer: h, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z + 5*z - 2*z)*(-z + 5*z + 0*z) in the form o*z + a + k*z**2 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 - y + 5. Let h(v) be the first derivative of v**4\/4 + v + 572. Give -10*h(s) + 2*i(s).\nAnswer: -18*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvktktqvvmkmvtv. Give prob of picking 1 k and 1 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 5*l**2 - 5*l - 2. Let p be k(-4). What is the first derivative of 2*t**p - 4*t**2 - 1 + 6 - 3 wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 - (7 - 0)) - (6 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2023011+4\nAnswer: 3.7976989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2681067 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8181 + 8358.14. Let q = 226.1 - c. What is q rounded to zero dps?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15562 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 2*m + 554. Let d be n(0). Find the first derivative of -18 + 10*w**4 - 554*w + d*w wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004805 rounded to six decimal places?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (188 - 187)\/(1 - (-1)\/(-2)). Which is the third biggest value? (a) -5\/3 (b) w (c) 4\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**8\/840 - b**6\/150 + b**4\/60 + 20*b**2. Solve r(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*g**2*o**2 - 129*g**2*o + 5746*g*o - 2*o**2 wrt g.\nAnswer: -270*o**2 - 258*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876020254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 39. Suppose i*v - 78 = -28. Let m = 4 - -2. Calculate the lowest common multiple of m and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 2 = 2*i. Suppose 4*f + 3*p - i = 93, -p + 60 = 2*f. Suppose f*r = 27*r + 4. Solve 3*x = -r - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 10*u**2 + 8*u + 9. Let d be l(9). Find the second derivative of -2*z**4 + 0*z - z**4 + 2*z + d*z**4 wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 + 23*h**2 + 3*h + 16. Give t(-9).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*l + 3988 + 2668 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**4 - 7736*k**3 - 4*k + 381151 wrt k.\nAnswer: -32*k**3 - 23208*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(2\/17)*d*d*d**(-13)*d*d**(5\/6)\/((d\/(d**(-2\/5)*d))\/d*d) assuming d is positive.\nAnswer: d**(-4309\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 155428 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*(-30)\/3. What is the smallest value in 1\/3, 2\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -249 + 745\/3. Let h = -149 + 147. Which is the biggest value? (a) g (b) 7\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/3763 greater than -0.089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 + -1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 24, -2, -48, -120, -224, -366?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 406 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -868*p**5*y**2 + 15*p**3*y**2 + 31563*p*y**2 wrt p.\nAnswer: -17360*p**3*y**2 + 90*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1853476 - -6208303.1.\nAnswer: 6208302.9146524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857655810.\nAnswer: 2, 5, 185765581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/3 + 54*u**3 + 7177*u**2\/3 + 16632*u + 94864\/3 = 0.\nAnswer: -77, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246678534?\nAnswer: 2, 3, 17, 73, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -5 + (-14 - -13) + 10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((324\/(-104))\/9))\/(40\/(-60))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6591 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 6 = 2*j. Let z = -4 + 6. Let h be (-15)\/(z*(-2)\/4). Solve 3*s - 3*i + h = 0, -j*s - 11 = -2*i - 0*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.6 (b) -6 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 4. Let v(b) = -2*b + 7. Let l(z) = -4*v(z) - 7*x(z). Let o(a) = 2*a**2. Calculate l(o(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 - 14) + 1*2. Suppose 4*j + k - 507 = x, j - 246 = -j - 2*k. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18281937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(1\/12)\/(o*o**(-2\/7)\/o)**(-1))**(-2\/37) assuming o is positive.\nAnswer: o**(4\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -182*n + 161*n - 168 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/3 - 4\/2. Let c be ((-3)\/(3\/t))\/(-2). Is c less than 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -410 - -426. Suppose h + s = -3*h, 3*d - h = 12526. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 r, and 1 v when four letters picked without replacement from {j: 2, r: 4, w: 2, m: 1, h: 2, v: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/647317 + -2416434331\/9709755. Let m = 249 + x. Let w = 0.4 - 0.2. Sort 2\/19, w, m in decreasing order.\nAnswer: w, m, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + -336?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**48*t**(-3\/4))\/((t*t**(-1\/8))\/t*t*t**(-13\/4)) assuming t is positive.\nAnswer: t**(397\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.2 + -153.8. Let q = -191.037 - s. Which is the biggest value? (a) 1 (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvcpsvvc. What is prob of sequence cc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-8))\/3)\/(32\/128)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -861, 0.5, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*y + 11 = 0, 3*s - 12 = -5*y + 19. Solve 5*u = s*h + 5, -u + 4*u = -2*h + 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -345*a - 37. Is 4 a factor of t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14*k + 94. Let w be f(-6). Let h be (-2)\/w + (-44)\/(-20) - 2. Suppose -1\/6*x**2 + 1\/6*x**3 - 1\/3*x + h = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from rftrfssafatsrfrat.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 46\/32323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-3 + (sqrt(637) + 0 - sqrt(637)) + sqrt(637) - (sqrt(637) - (-1 + sqrt(637)))*-6) + 2 + -2*sqrt(637)*2)*-3)**2.\nAnswer: -1890*sqrt(13) + 51822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26565828 and 1196?\nAnswer: 345355764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-212 + 231) - (1 - -1 - -56)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299846, -299847, -299848, -299849?\nAnswer: -299850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -388 and -385 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044683389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -86d98 (base 15) in base 12?\nAnswer: -187a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 27*j - 6. Let s be m(5). Let o = -75 + s. List the prime factors of (2\/3)\/(3\/o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50178648 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:37 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -0.7, 2\/93, 2\/47, 4\/465?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -22) + 5 - (2 - 6) - 28\/(-7)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29809182 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 20.60654g?\nAnswer: 0.02060654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.011, -12, 0 in ascending order.\nAnswer: -12, -5, -0.011, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -5271?\nAnswer: -15\/1757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2760 = 3*x + 3537, 5*r - 6296 = 4*x. Round r to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let i(h) = -4*h + 13. Let a(z) = z - 3. Let y(u) = -9*a(u) - 2*i(u). What is y(w(l))?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2\/5 + 13076644*i\/5 - 13076648\/5 = 0. Calculate i.\nAnswer: -3269162, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l - 4. Suppose 5*p + 11 = 4*t - 54, 5*p + 75 = 5*t. Let a be t*(5\/(-30))\/(3\/9). Put 2, a, l in descending order.\nAnswer: 2, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (0 + 4 - 2) - (-170 - -227)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(35\/(-15) - -2). Suppose 2*l - c - 7 = 0, 2*l - 10 = 3*c + t. Solve r = -l*r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v + 2*f - 44, 137*v - 137*v + 12 = 3*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 26 = r. What are the prime factors of (r + 0)*(5 + -8)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + 1 + -10595 + 10525.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 144 = 11*k. Let w = -9 - k. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 5*n - 4*n)*(0 - n + 0) + 3*n**2 - 3*n**2 + n**2 + 5*n**2 + n**2 + 3*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 60*g**2 - 6*g - 31. Let i be u(-30). Calculate the greatest common factor of i and 3278.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = -4*i, 6*x - 4*x = -i + 4. Suppose o = -2*k + x, -4*o = -k + 12 - 6. Which is the fourth biggest value? (a) 1\/2 (b) 2\/7 (c) o (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -962, -142, 1216, 3106, 5522?\n\"Answer: -m**3 + 275*m**2 + 2*m - 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 75*a + 71*a = 20, -k + 1 = -2*a for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c**2 - 7*c - 2. Let a(f) = f**2 - f. Let y(r) = -6*a(r) + p(r). Let q be y(-2). Solve -q = j - 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(5) - sqrt(5)) + 4)*3)**2.\nAnswer: -216*sqrt(5) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48495 and 787845.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 16) in base 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*((4 - 4 + 3*s)*(1 + 3 - 5) + (0*s - s - 7*s)*(0 + 0 - 4)).\nAnswer: -87*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -307*x**2. Let p(l) = 360*l. Give p(y(w)).\nAnswer: -110520*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 327 = -1035. Suppose -4*i = x - f, 3*i - x = 4*x + 254. Let k be (-2)\/(-5) - i\/170. Is k at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1453\/1305 - 17\/45. Let s = m + -2\/29. What is the nearest to -1 in 0.2, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 14) to base 10\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 335100 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 4*a + 2*a + 0*a. Let w(x) = -x**3 - 2*x**2 - 5*x - 3. Let q be w(-2). Let f(u) = -q + 15 + 3 + 39*u - 10. Determine d(f(m)).\nAnswer: 78*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Solve -3*h + l = 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 10*d + 336. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*f + 21. Let r = -2 - f. Suppose -2*c = r*c - 16. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3080*k + 10. Let m(g) = 1035*g + 3. Give -14*m(x) + 4*u(x).\nAnswer: -2170*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 + -130. Let x = 43 + k. Which is bigger: x or -11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*a**2 + 5*a - 2.\nAnswer: (a + 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5 + 0 + (sqrt(891) - (2 + sqrt(891)) - sqrt(891) - sqrt(891)))*-4 + 5)**2.\nAnswer: 19008*sqrt(11) + 232452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6082c89 + 3?\nAnswer: -6082c86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 - 8*y**3 + 20*y**3 + 34110 - 6*y**2.\nAnswer: 5*y**3 - 6*y**2 + 34110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 16.219 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 8\/9 (c) 0.0006 (d) 7 (e) 0 (f) 14 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 10 + 11 - 1 - 3*n.\nAnswer: 3*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352957 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**3 - y**2 + 7*y - 2. Let p be x(3). Let n = p - -77. Let k = 11 - n. Solve -b = 4*t, 7 = 2*b - k*b - 5*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-22477)\/(-9555) - (-4)\/(-10) and 68\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1097, 4354, 9775, 17360, 27109?\nAnswer: 39022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w - 48. Suppose 19 = 7*x - 2*x - 2*f, 0 = 2*x + 2*f - 16. Let r be t(x). Suppose -r*v + 0 = -94. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26614871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6942347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5100 divided by -3\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7694637*2.\nAnswer: 15389274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uaaopuuuopuupuoup. Give prob of sequence ppoa.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280032*k + 1 - k**2 - 140024*k - 140008*k - 1.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294 is divided by 425?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 41, 120, 293, 596, 1065?\nAnswer: 1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -73, -118, -165?\n\"Answer: -a**2 - 40*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44, -244, -576, -1040, -1636?\n\"Answer: -66*h**2 - 2*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/16 of a minute?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3944066?\nAnswer: 2, 7, 281719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v + 198042 + 1627853 + 71738 = 0. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17243600*k**4 + k**2 + 341*k + 18348 wrt k.\nAnswer: -413846400*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2910148*t**5 - 5048551*t**2 wrt t.\nAnswer: -174608880*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 5271549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/33, -403, 0.07 in ascending order.\nAnswer: -403, -2\/33, 0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3738033727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364253172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2459492 and -4.\nAnswer: -9837968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366265 divided by -4309.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -12*n + 2. What are the prime factors of q(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -4*a + 3 - 1\/4*a**4 + 0*a**2 - 4\/3*a**3. Let r = 20 + -9. Let x(l) = 2*l**3 + 11*l**2 + 11. Determine r*v(o) + 4*x(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 764 or 3\/7258?\nAnswer: 3\/7258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*v + 3*v**2 - 289*v - 296*v + 1 - 290*v + 1182*v.\nAnswer: 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0*j + 81*j**2 - 3 - 82*j**2 + 0*j. What is g(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from trtpccgtrpgrg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/24*(10\/3)\/(-1). Let p be 5\/4*(-1 + f). Suppose 0 = -2*u - 2*u. Put 2, p, -5, u in ascending order.\nAnswer: -5, u, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (2 + 5 + sqrt(125)*1 + sqrt(125) + (3 + sqrt(125)*1 - ((sqrt(125) - sqrt(125)*-1) + 1)))**2).\nAnswer: -816 - 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21265745609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i + 8. Let r(v) be the second derivative of -2*v + 0 - 1\/40*v**5 + 0*v**i + 0*v**3 + 0*v**4 + 1\/60*v**6. Determine y, given that r(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*w + 16 = -154*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 88*o + 952. Determine w(-12).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 728567.6 grams in micrograms?\nAnswer: 728567600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-27)\/6*(-6)\/54). Suppose -4*x + 3*i = h*i - 22, 3*i - 15 = -3*x. Solve -15 = x*l + 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10747 and 61633?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(128) + 5*(sqrt(128) + sqrt(128)*2))**2.\nAnswer: -1024*sqrt(2) + 32784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2. Let l(n) = 2*n**2 + 2*n + 85. Let f(s) = 7*s - 13. Let p be f(2). Let z(a) = p*l(a) + 3*m(a). What are the prime factors of z(0)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 4*h - 27 = -15*m, -3*h - 21 = -4*m. Suppose 0 = -p + 7*p - 18. Solve -12 = -p*q + 3*o, 3*q = -m*o + o + 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*k**3 - 95*k**3 - 96*k**3 - 94*k**3 + 2.\nAnswer: -11*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7301*n + 6. Let g(l) = -2*l**2. Determine h(g(z)).\nAnswer: -14602*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c - 10 = 0. Let o(i) = -5*i + 5. Does 15 divide o(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415335787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, j: 1, e: 2, a: 2, o: 1}. Give prob of picking 2 e.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h**3 + 9*h**2 - 7. Let x(l) = -4*l**3 - 3*l**2 + 2. Suppose 144 = 514*a - 508*a. Suppose a*n + 91 = 37*n. Give n*x(g) + 2*o(g).\nAnswer: -2*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 110225923 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + -0.22. Sort -2\/5, d, 3 in decreasing order.\nAnswer: 3, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x - 936*x + 227*x.\nAnswer: -735*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/39, 6, -5, -1\/27, -1\/6?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -34, -35, -36, -37, -38?\n\"Answer: -n - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 5*v + 5. Let j(d) = -d**3 + 2*d - 2. Let n(x) = 12*x - 82. Let q be n(7). Determine q*s(l) + 5*j(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -33281.\nAnswer: -3\/33281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18487 divided by -19?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13897 = 66*k - 53*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10728577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**9\/9072 - h**8\/1260 - h**7\/504 - h**6\/540 - h**3\/3 - 4*h. Let o(w) be the second derivative of u(w). Factor o(p).\nAnswer: -p**2*(p + 1)**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y - 3. Suppose 3*u = -2*b - u - 32, -5*b - 48 = 2*u. Let w = b + 10. Calculate the remainder when w is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399987081 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k = -41*k + 157472. Is 76 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101375, -202761, -304145, -405527, -506907?\n\"Answer: v**2 - 101389*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 256, 991, 2202, 3877, 6004, 8571, 11566, 14977?\n\"Answer: -2*z**3 + 250*z**2 - z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 28*v - 88. Let h = -810 + 822. Calculate the remainder when 183 is divided by i(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15673493189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8512 and 34048.\nAnswer: 34048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 307 (b) 46 (c) -0.2 (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/p)\/(p\/(p\/p**16)) assuming p is positive.\nAnswer: p**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 59. Calculate m(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(-1 + sqrt(1300))**2 + sqrt(1300) - 6*(sqrt(1300) + 0 - sqrt(1300))**2) + 2 + -4.\nAnswer: -3905 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 10*l - 11*l + 2*l**2 as u*l + b*l**2 + w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008282588 rounded to 7 decimal places?\nAnswer: -0.0008283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 167*t + 20. Let i(u) = 111*u + 12. Determine 5*b(j) - 8*i(j).\nAnswer: -53*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3 + 7. Suppose -4*g = -h - 10, -o*g + 4*h + 16 = 2*g. Sort g, -3, 5.\nAnswer: -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 296 = -6*g. Suppose 3*h + 2*h = 80. What is the lowest common multiple of g and h?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 8*p - 21. Let n(u) = -12*u - 20 + 5*u - p*u. What is the units digit of n(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3569 - -3609. Calculate the remainder when 436 is divided by f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(2\/7)*(s*s**2)**(-14) assuming s is positive.\nAnswer: s**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2441099 + 50*r**3 + 4*r**2 - 4*r**2 - 2441099.\nAnswer: 50*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39312 (base 12) in base 10?\nAnswer: 78206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -0.05028.\nAnswer: -1.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 14*g - 17. Let x(m) = 5*m - 6. Determine 3*c(w) - 8*x(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 21*j**2 - 89*j + 13. Is m(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5\/15 + 2054*t**4\/15 - 45818*t**3\/3 + 461766*t**2 - 14393664*t\/5 + 12160512\/5 = 0.\nAnswer: -1131, 1, 7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v - 55*v - 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 3*w**2 - 1. Let m(c) = -660*c**3 + 792*c**2 - 264. What is m(a) - 264*n(a)?\nAnswer: -396*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 504232 to the power of 1\/2, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(285\/909) + -16*(13 - 14).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((160\/36)\/(-10)*18\/(-8))\/(24\/10)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-15)*7\/7*96\/(-80)*5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (121 + -1)\/4. Let x be 168\/(-3078)*k\/2. Let m = x - -15\/19. Which is the biggest value? (a) 0 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 less than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**4 + b**3 - b**2 + b + 1. Let p(k) = -8*k**3 - 16*k**2 + 4. Let m(g) = -p(g) + 4*t(g). Factor m(v).\nAnswer: 4*v*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-1)*(-10 - -13). Suppose d = 5*f - 11, 5*f = 4*d + a*f - 10. Let y = 1 + 1. Solve 0*t + y*t = d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 138 = -6*g. Let o = g + 48. Let b(y) = -o*y + 6 + y + 2*y + 0*y. Give b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**6\/10 + 9*s**5\/20 - 2*s**3 + 7*s - 1. Let k(a) be the first derivative of y(a). Factor k(d).\nAnswer: 3*d*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - a**3 - 2*a**4 + (-4 + 4 + 2*a)*(5*a**3 - 3*a**3 - 3*a**3) - 1 + 1 + a**4 + (42*a**3 - 6*a**3 - 37*a**3 - 55*a)*(0*a - a - a).\nAnswer: -a**4 + 110*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 72906552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q**2 + q + 29. Let d be p(0). Let u = d - 23. Suppose f + 3*j - 2*j + u = 0, -2*j = 3*f + 21. Is f != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*q - 0*b, 5*b = 0. Suppose q = -3*k + 4*k - 3*x - 2, 0 = x - 1. Let y(f) = -f**3 + 5*f**2 + f - 3. Calculate y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*b - 165, 3*x + 2*x + 3*b + 160 = 0. Let c be (-2)\/(-7) - (-10)\/x. Put c, 1, 0.2 in ascending order.\nAnswer: c, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1437 divide 381286395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -2769?\nAnswer: -11076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2526.731368 to the nearest ten.\nAnswer: -2530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 83 - (-31 + 23 - -31 - 1)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 1:57 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 2:16 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 4:18 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22107 + -1006?\nAnswer: 21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483 less than 1482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*q, 4*d - 3*q - 6 = d. Suppose -d*j - 54 = -12*j. Solve h - 4*h = j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -0.02, -0.026, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 11:59 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 976*j + 112128.\nAnswer: -2*(j - 584)*(j + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*f*t**2 - 6*f - 444*t**2 + 4*t wrt f.\nAnswer: -33*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154722664.\nAnswer: 2, 461, 41953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-5) - 6\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, e: 5, t: 4, u: 5, j: 3}. Give prob of picking 2 g and 2 j.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1688*d + 75962. Calculate o(45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1568 = -4*x + 4*p, 275 = -3*x + 4*p + 1451. Find the third derivative of 182*c**2 - x*c**2 + 190*c**2 - 4 + 107*c**3 wrt c.\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2714 times -1?\nAnswer: 2714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 - 5 = -33*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 2*n**2 - 2*n - 1. Let b be i(-1). Solve -5*w + 6 - b = -2*t, 0 = 4*w - t - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.8 + 1.2. Suppose g + q = -g + 4, 2*g - 28 = 5*q. Let x = -3.53 + 0.53. What is the third biggest value in x, g, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -768, -1586, -2496, -3546, -4784?\n\"Answer: -8*b**3 + 2*b**2 - 768*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v - 6*v - 5*v)*(2*v**2 + 5*v - 5*v) to the form o*v**3 + u*v**2 + s + b*v and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1716\/31 > -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1242 = 2*v. Let f = -9642 - -18395\/2. Let u = f - v. What is the common denominator of -31\/4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - 1 + 5*d**2 + 5*d - d**3 + 4*d**3. Determine c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 480 divided by 96\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2))**30*(p*p\/p**(1\/6))\/p*p*p*p*p*p\/(p\/(p\/(p\/p**(-1\/5)))*p)*p*p*p*p)**(-35) assuming p is positive.\nAnswer: p**(1547\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 7*n. Let w be c(6). Let v = 0 - w. Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 - 70. Let f(t) = -16*t + 10*t + p*t. Let j(h) = -h + 6. Calculate j(f(r)).\nAnswer: -r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 13*c. Let s = -13 + 19. Let g(t) = -82*t + 259. Let v be g(3). Let i(x) = x**2 - 6*x. Calculate s*y(j) + v*i(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (-1*sqrt(5))**2 + 4).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven quarters of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4619 divided by -26\nAnswer: -4619\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -2*f - 8, -45 = -2*f - 3*l - 41 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1541*-3\nAnswer: -4623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w**2 + 2*w + 5. Let p(l) = -3*l**2 - l - 2. Let s = 10845 + -10841. What is s*u(g) + 9*p(g)?\nAnswer: g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10324597405 + 1.9?\nAnswer: -10324597403.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/94*11\/110. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 523 and 2767151683?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.5 and -0.1?\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9.7 (b) 5 (c) -1\/4 (d) -110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5209 - 5209 + 6*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + v**2 - 1. Let z(s) = 23*s**3 + 2 - 22*s**3 - 4 + 3*s**2. Let w(o) = -o**3 + 2*o**2 - 2*o + 1. Let j be w(2). Calculate j*i(k) + z(k).\nAnswer: -2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 757824 and 384?\nAnswer: 1515648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57 and -0.4?\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -154, -360, -704, -1186?\n\"Answer: -69*g**2 + g - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 3.594.\nAnswer: 0.3594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v*v\/((v**24\/v)\/v*v)))\/(v**(1\/11)*v)*(v\/v**(-1\/3))**(-12\/11) assuming v is positive.\nAnswer: v**(214\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13 + -2)*(1 + 0). Suppose 36 = 4*c + 4*d, -3*c + 6 = -d - 1. Solve c*b + z = 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 8. Give v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6095069845?\nAnswer: 5, 1219013969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/(17094\/(-148)))\/((-28)\/(-18)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 308.9 + -294. Let k = 14.8 - b. Put -2\/9, k, 19 in ascending order.\nAnswer: -2\/9, k, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 22 = 5*b - 52, 3*b - 29 = -4*r. Solve n + r = 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4))**(-3\/11)\/(u**21*((((u**(1\/7)*u)\/u)\/u*u)\/u*u)\/u) assuming u is positive.\nAnswer: u**(-1467\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d**2 - 29*d - 26. Let s be q(4). Solve -7*t + 18 = s*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -65, -97, -143, -209, -301, -425, -587?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80.49 + 80. Let d = 0.11 - q. Let f = d - 0.60000014. What is f rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3*w - 8 + 8\/3*w**2 = 0. What is w?\nAnswer: -2, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5, v + s = -3*s - 4. Let m be 1\/(-2)*0*2\/v. Suppose -t = 5*r + 3, -2*t - 3*r + m = -1. What is the greatest common divisor of t and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1161 = -4*q - 456, q - 4*d = 180. Is -4*(62 - 1)*q\/(-64) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 314143 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f - 9. Let n(z) = 2*z + 5447 - 5456 + z. Give 4*d(v) - 5*n(v).\nAnswer: v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -43.3326\nAnswer: 4.33326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301085 is divided by 157.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*m - 183*m = i + 11, -m + 1 = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 212, 204, 196, 188?\n\"Answer: -8*b + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764482 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -17*j + 1. Let z be r(3). Let l = 218 + z. Suppose 0*c = -4*q + 3*c + l, -5*q = -3*c - 210. What is the highest common factor of q and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 18. Let y(o) = -o + 12. Let l be y(r). Suppose 126 = l*n + n. Calculate the least common multiple of 4 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/66 - (-7)\/21. Let x = -3 + 5. Let k be (-2 - -8)*x\/4. Which is the nearest to -1? (a) d (b) 1\/6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 - 2*h**3 + 114*h**2 + 2*h - 112 = 0. Calculate h.\nAnswer: -8, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -17*s**2 + 9*s. Suppose 2*w + 6 = 2. Let j(a) = -a - 15. Let o be j(-6). Let x(r) = 6*r**2 - 2*r + 0*r**2 - 2*r**2. Calculate o*x(c) + w*i(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 233*i - 455. Calculate the least common multiple of n(17) and 14.\nAnswer: 24542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - 3*((sqrt(70) - 1*sqrt(70)) + sqrt(70)))\/(-4*(sqrt(10) - -1*sqrt(10)) + sqrt(10)).\nAnswer: 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 166760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*v + 0 + 4 = 0, 0 = -4*c - 2*v + 8. Suppose 4*w + c*b - 24 = b, 0 = -b + 2. Solve -2*a = 2*q + 3*q - 19, -4*a = -w*q + 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 28*b + 168. Calculate c(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7795, 15589, 23385, 31183?\n\"Answer: c**2 + 7791*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*s + s - 3*k, -2 = k. Let d be -3 + (5 - 1) - (-1 - -2). Let g be (-2)\/(-2)*(2 + 0). Solve d = r + s - g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 16. Let s(d) = -387*d**2 + 634. Let f(y) = 4*j(y) - 2*s(y). Differentiate f(i) wrt i.\nAnswer: 1556*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2644 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapfqza. Give prob of picking 1 q and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7 - 8 - 2 + 18 + 4*i. Let c be o(1). Sort 1, 2, c.\nAnswer: 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 1\/12*p**4 + 5 + 1\/2*p**2 - 1\/3*p**3 - 5*p. Let m(z) be the first derivative of u(z). Find s such that m(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 449 + -173. Let f = t - 262. Sort 5, f, -3, 0.\nAnswer: -3, 0, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -15*s - 660. Let o be d(-44). Sort -1, -10, o, -8 in descending order.\nAnswer: o, -1, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**7\/210 + o**6\/120 + o**5\/60 - o**4\/24 - o**2 + 3*o. Let u(h) be the first derivative of j(h). Factor u(g).\nAnswer: -g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c**2 + 1450*c**3 - 27*c**2 + 8*c**2 + 73*c**2 - 29*c**2 + 2.\nAnswer: 1450*c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123841 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2440)\/45)\/(-122))\/((-2)\/(-6)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 4*n - 19 - 8 + (6 - 3 + 0)*(-3*n + 2*n - n) to a + p*n and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 90849, 370693, 837099, 1490067, 2329597, 3355689, 4568343?\n\"Answer: 93281*d**2 + d - 2433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(-2 - (-40)\/25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - -19. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04475237*0.1.\nAnswer: -0.004475237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5177180 and 680.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 20*r + 12. Let d(y) = y - 9. Let j be d(0). Calculate the remainder when 86 is divided by a(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 220 = -52. Factor 86*y + 44*y**2 + 73*y**3 - 33*y**3 + v - 34*y**3.\nAnswer: 2*(y + 3)*(y + 4)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7748 - -46373\/6. Calculate the common denominator of 43\/30 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22874 - -22874.2. Which is the nearest to 1? (a) -2 (b) 13 (c) t (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 1268, 2341, 3418, 4499, 5584?\nAnswer: 6673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 9*z**2 + 7*z - 31. Let v be r(9). Calculate the highest common divisor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1465, -2928, -4391?\n\"Answer: -1463*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + 2*q + 7. Let d be y(0). Suppose -d*u = 7 - 49. What is the smallest common multiple of 54 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 0 (c) -2\/3 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -328*x - 1260. What is n(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2, -8 in descending order.\nAnswer: 5, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 = 3*z, -8*i + 12 = 3*z - 5*i. Solve -5*w + 14 = 2*x, z*w - 5*x - 1 = -5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 + b - 1. Let r be i(1). Suppose 2*d = -g + 9, -5*g + 7 = -r. Factor 8*o - 4 + 6*o**2 - 8 - o**4 - 4*o**d + 4 - o**4.\nAnswer: -2*(o - 1)**2*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1367*-1\nAnswer: -0.1367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 1. Let v(a) = 7*a + 2. Let m(r) = -2*i(r) + v(r). Let o(j) = j. Let d(n) = 0*n - 2*n + 2*n - 2*n. Let q(k) = d(k) + o(k). Determine q(m(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1409 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3959982153 to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89629*l - 88745*l = -45968 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -281\/90 + 128\/9. Let t be (-1 - 3) + 3218\/(-2). Let i = t + 4775\/3. Calculate the common denominator of b and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740 (base 12) to base 3.\nAnswer: 1110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 260360127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 614344751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-10))\/(4\/(-20)). Let m be i\/1 + 2*-3. Calculate the remainder when (-178)\/(-8) - (-1)\/m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4984\/445)\/(-56)*0*2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**2 - 1512*t - 7727. What is z(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178645 + 48155 = -4*t. What is t rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2 + 973*d + 19060 = 0. What is d?\nAnswer: -953, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02438 - -0.52438. Which is the nearest to 1\/4? (a) x (b) -548 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 42 = -3*i, 0 = -4*j + 2*i + 36 + 16. Does 46 divide 4\/j*1 + 2067\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -33*w - 130. Let n be g(-4). Solve n*z + 31 = 5*v, -5*z + 4*v - 7*v = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13758 - 9125. Calculate the highest common factor of 452 and a.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, h: 10}. Give prob of picking 2 z.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/5, 1\/4, 75, -4.65, 6.4 in decreasing order.\nAnswer: 75, 6.4, 1\/4, -3\/5, -4, -4.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570\/(-204)*(-2)\/(-84)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14809 divided by -59?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1016 and -9\/206.\nAnswer: 104648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:24 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 80 = 16*j. Solve -i - 10 = 3*u, -4*u = -0*u + j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12.8, -1\/3, -10?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1464 is divided by 380?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2, -0.14, 18, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 5 (c) 5\/118478\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10846414, 21692841, 32539276, 43385719, 54232170?\n\"Answer: 4*s**2 + 10846415*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 - 5 - 9*y**2 + 0*y**2 + 2*y**2.\nAnswer: -18*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-7)*(-455)\/195.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 40. Let o = 82 + c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g**4 + 27*g**4 + 78*g**4)*(-15 + 10 - 16)*(g - 2*g + 2*g).\nAnswer: -2520*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/204369 and -49\/7986.\nAnswer: 4496118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*o**2 - 3*o**2 - 4 - 11*o + 273*o + 5.\nAnswer: -34*o**2 + 262*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -y + 539, 2*y = -2*n + 514 + 564. What is the biggest value in 4, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2295, 2292, 2283, 2268?\nAnswer: 2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - p - 27 = 0, 6 = -5*q - 13*p + 5. Solve 2*f + 1 = l, -5*l = -3*f + 21 - q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 + 18*t**2 - t + 15. Let h be o(9). Solve -5*r = 15, -w + 0*r = 2*r + h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -671 + 43614\/65. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11426 is divided by 636.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -24*v**2 - 255*v + 1. What is g(-11)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 8*j**2 + 6*j - 5. Let o be s(6). Let a be (-1 + (1 - 2))*o. Suppose -n - 5*t + 7 + 6 = 0, 0 = -2*n + 4*t + a. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (44\/55)\/((-3)\/(-195)*-7) and -42\/233.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/15*100\/(-15). Let b be 9*1*(-4)\/d. Let 0 - 3\/2*c + 3*c**2 - b*c**3 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i**2 - 7*i + 15. Let l = -1103 + 1108. Let s(z) = 4*z**2 + 4*z - 8. Determine l*s(t) + 3*p(t).\nAnswer: -t**2 - t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2214*r - 2214*r + 890*r**2.\nAnswer: 890*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 2 f when four letters picked without replacement from {c: 1, w: 3, x: 3, f: 1, v: 3, j: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19841, -79265, -178269, -316853?\n\"Answer: -19790*m**2 - 54*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1316799*x = -1316814*x + 375 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-10)*-2*-5. Let v be (b\/(-4))\/(-7*(-9)\/21). Put -0.1, -5, v in increasing order.\nAnswer: -5, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331515.33 rounded to the nearest ten thousand?\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 10:11 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from babaababbababbaaaab?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(19) + -1 + -4 + ((sqrt(19) + -2)*5)**2.\nAnswer: -98*sqrt(19) + 570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252006 (base 8) in base 11?\nAnswer: 388339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144711194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-50)\/(-125) + 11366\/10 + 1 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8764, 12589, 4.\nAnswer: -8764, 0, 4, 12589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 12231407.43 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/350)\/(6\/(-15))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(320)*-2 - (sqrt(5) + sqrt(5) + (sqrt(5) - (sqrt(5) - (-2*sqrt(5))**2)*1))).\nAnswer: -18*sqrt(5) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 1016064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m**2 - 1. Let f(z) = -42*z**2 + 4. Calculate -6*f(v) - 21*o(v).\nAnswer: -42*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 3*x**2 - 100*x + 73. Let t be z(9). Solve -5*v = 3*p - 27, -v + 168 - t = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -14*v - 5. Let s be f(-8). Suppose s = 4*n + 3. Calculate the remainder when n is divided by (6\/(-4))\/((-2)\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - k + 51 - 34 = 0, 9*k = u + 4*k - 35 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 904751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 400 - 397. What is the closest to -2\/5 in -3, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -o + 2, 0 = o - 9*c + 12*c - 2. Suppose -4*i - i = -o*i. Solve i = -0*k + k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 0*l + 0*l - l - l + 3*l + (-l - l + l)*(5 - 3 + 0) - 14*l + l - 5 + 32*l to k + d*l and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 17, a: 3}.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**3*p*t**2 + 22*n**3*p - 7*n**2*p**2 - 2*n**2*p*t - 11*n**2*t - n*p**2 + 5945*p**2*t**2 wrt t?\nAnswer: 8*n**3*p + 11890*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -9301245?\nAnswer: -9301251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -470*y**2 + 1. Let w(m) = -30 - 1897*m**2 + 30 + 1895*m**2. What is w(i(b))?\nAnswer: -441800*b**4 + 1880*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5006599 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + 0 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**2 + 18*a - 79. Let k(j) = 4*j**2 - 8*j + 40. Give -9*k(m) - 4*l(m).\nAnswer: -4*m**2 - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + j + 3. Let b be c(-4). Let z = 25 + b. Calculate the lowest common multiple of z and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2038 by 2.\nAnswer: -1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -23. Suppose -18 = -w*x - 3*q, 0*x - x + 5 = q. Solve -6 = -2*h + 4*i, -3*i + 17 = x*h - i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -44*p + 45*p, -2*p + u + 9 = 0. Suppose 0 = -2*g + 3 + 3. Let o(y) = y - g - 3 + 5. Calculate o(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*p + 724*p - 237*p - 240*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 2*t**2 + 6*t**2)*(-2 + 3 + 2*t + 0) - t**3 + 4*t**3 - 4*t**3.\nAnswer: 7*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7569 and 33?\nAnswer: 24.9777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a factor of 2546404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-15)\/12)*1\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*m**4 - 1\/4*m + 0 - 3*m**3 - 3\/4*m**5 - 3\/2*m**2.\nAnswer: -m*(m + 1)**3*(3*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 23*i**5\/60 - 3*i**4\/4 - 3*i**3 + 24*i**2 - 2. What is the remainder when 66 is divided by p(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -21*d**5\/4 - 145*d**4\/12 + 25*d**3\/3 - 2*d - 176. Determine f, given that m(f) = 0.\nAnswer: -5\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85508 or -410?\nAnswer: -85508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13400000 rounded to the nearest one hundred thousand?\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1594371?\nAnswer: 3, 531457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2874 + 2878. Solve 0 = -b - c*n + 20, -4*b = n - 3 - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -12. Let u(c) be the first derivative of c**5\/120 - c**4\/8 - 2*c**3\/3 - 2. Let g(v) be the third derivative of u(v). Calculate g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + r)*(-r - 4*r + 4*r)*(-19*r + 78*r - 190*r)*(0*r - 2*r + 5*r).\nAnswer: -393*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*n**4 - 41660*n**3 + 92735*n**2 - 60310*n + 9280 = 0. Calculate n.\nAnswer: -928, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 7 + -8 - -2 - -16?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 211*o**5\/20 + 113*o**3\/6 + 88*o. What is the second derivative of j(t) wrt t?\nAnswer: 1266*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14933, 30304, 45667, 61022, 76369, 91708, 107039?\nAnswer: 122362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c + 14*c + 3*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c - 3. Let u(y) = 3*y + 2. Let s(m) = -3*u(m) - 2*v(m). Let z(w) = 5*w**2 + 0*w + 0*w. Give s(z(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(7\/11)\/a))**(-22\/9)\/((a**(-46)\/a)\/a**47) assuming a is positive.\nAnswer: a**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/375*(132\/(-18) - -9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16428 - -16427. Let w(q) = 56*q. Let u(t) = t**3 - t. What is k*w(s) - 56*u(s)?\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + 2*x**2)*(5 - 5 + 2*x) - 75*x**3 - 212*x**3 - 22*x**3 + 0 - 1 + 3*x - x**3 - 1.\nAnswer: -306*x**3 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -421 - -772. Suppose -8*v + z = -4*v - 3*w, -232 = -3*v - 4*w. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u + 5. Let x(r) = -2*r + 8*r - 11 + 20. Give 9*m(k) - 5*x(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000184857 to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1047*w**2 - 397*w - 6 + 4 + 397*w as s + l*w + a*w**2 and give a.\nAnswer: -1047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75146329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(250)*-4)\/sqrt(2) + -1)**2.\nAnswer: 240*sqrt(5) + 12006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(704) + -1)*-1 + sqrt(704)))**2 - 1*(sqrt(88)\/sqrt(32) + -2).\nAnswer: -sqrt(11)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:34 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = -3*t. Differentiate 3*a - t - 4*a - a**4 + a with respect to a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22339687*0.01.\nAnswer: 0.0022339687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 3)\/(-1 - 0). Suppose r*q = -2*s + q + 10, 11 = -3*s - 5*q. Let j(g) = g**2 - 4*g + 2. Give j(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 - 2*h**2 + 46 - 10*h**2 + 9*h**2 in the form y + l*h + k*h**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3007 to two dps.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*t**2*z**2 - 25*a**3*t - a**3*z**2 + 41*a**2*t*z**2 - 2*a**2*z + 12*t**2*z wrt a.\nAnswer: 12*t**2*z**2 - 150*t - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.47?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n**3 + 5*n**2 - 8*n + 11. Let h be k(5). Let v = -481 - h. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 23 + 2*b**3 - 926*b - 455*b + 341*b + 10 to the form m*b**3 + u*b + n + l*b**2 and give u.\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - c**2. Let p(d) = -2*d**3 - 7*d**2 - 2*d. Calculate -p(y) + 3*t(y).\nAnswer: -y**3 + 4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4.6 (b) -2 (c) -4\/8701 (d) 5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 503676.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 smaller than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 2:43 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from {b: 5, y: 11}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14030 + -1302223?\nAnswer: -1233143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 88\/5 (b) -3 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5472 divided by 6?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8873*c**5 + 69*c**4 - c**3 - 2*c**2 - 8654928*c.\nAnswer: 532380*c**2 + 1656*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.76 - -0.24. Which is the biggest value? (a) y (b) -0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-14)*x*x\/(x*x**33)*(x**(2\/35)*x)**(1\/78) assuming x is positive.\nAnswer: x**(-125543\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 2, t: 2, w: 1, y: 2}. What is prob of picking 1 w and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummxxpmmxxxxwxxw. Give prob of picking 3 m and 1 p.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -7, 2\/7, -0.3, 10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -38 + 9 - 7*p - 10. Let k be l(-5). Put k, -5, -3, 8 in descending order.\nAnswer: 8, -3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8976 by -68.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 353696.2ug in grams?\nAnswer: 0.3536962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/275 - 2443\/77\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 + 3b46?\nAnswer: 3b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*2\/(-14)*2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.24 and 512258633324?\nAnswer: 512258633324.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4\/3 - 116*j**3\/9 + 146*j**2\/9 - 4*j = 0.\nAnswer: 0, 1\/3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 0. Suppose 5*s + 5*p = 10 + 5, -4*s + 3*p + 26 = 0. Solve s*l = -5 - g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7881 and 12722.\nAnswer: 100262082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 - 1 + 0 + 1 + 2 to the form u + q*t + a*t**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0132761 to 4 decimal places.\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-252)\/390))\/(58\/((-17864)\/(-22)))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {t: 1, n: 1, w: 1, j: 1, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -7*g**4\/24 + g**3\/6 - 2*g**2 - 4*g. Let u(h) be the first derivative of n(h). What is u(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8024.398ms?\nAnswer: 8024398000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-3)*(-120)\/420. Let c(i) = 3*i - 2. Let x be c(2). What is the second smallest value in h, x, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 7*p**2 - p - 4. Let o be t(-7). Suppose 3 = -0*i - o*i. Let q be -2 + -1 + (-17)\/(-5). Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088317 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(5\/2)*j*j))\/j**(26\/7))**2 assuming j is positive.\nAnswer: j**(-115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + ((-20)\/(-8) - 2). Which is bigger: 1\/6 or z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1778911*-0.03.\nAnswer: 53367.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 18*c. Let i(t) = -8*t**2 + 368*t + 276. Let j(p) = i(p) + 5*o(p). Find b such that j(b) = 0.\nAnswer: -138, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -217875.1 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*z + 18 = -27, -4*z = -2*k + 30. Suppose 20*x = k*x + 255. Calculate the highest common factor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6248483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/3*((-5)\/(-20))\/(42\/(-168))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(-150) + (-89)\/(-6). Suppose -9*w + 129 = -p. Which is bigger: w or 11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-3 - (-21 + 50)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 157941*v**6 + 126*v**2 - 16*v - 5 wrt v?\nAnswer: 18952920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nllslsllpbpl. Give prob of picking 2 l and 1 p.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-11)*341\/93)\/(16\/(-6))*-30.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -310 - -310.0918. Round r to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p. Let a(x) = -58*x**2 - 58*x**2 - 4*x + 117*x**2. Let c(d) = a(d) - 4*v(d). Let q(h) = -7*h**2 + 0*h**2 - 2*h**2. What is c(q(g))?\nAnswer: -243*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47846563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -13*c - 1. Suppose 3*u + 2*l = -11, 0*u - 2*u + 4*l - 2 = 0. Let f(i) = -18*i + 368. What is the remainder when x(u) is divided by f(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) -0.3 (c) 4 (d) 107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntb when three letters picked without replacement from hhgtbtnntbcn.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + (3 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-122)\/(-2196))\/(-5*5\/(-150))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 plus -29427?\nAnswer: -29427.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 11, -180, 37\/3 in descending order.\nAnswer: 37\/3, 11, 2, 1, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 24 = 0, w = -17*k + 2206 - 2109 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9041032 and 34034.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1) + 1 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*f**3 - 8*f**3 - 58*f**2 + 39*f + 18*f - 2*f**4 + 300 + 13*f = 0. Calculate f.\nAnswer: -5, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t - 1. Let s(i) = -i**3 + 2*i**2 + 5*i. What is -d(y) + s(y)?\nAnswer: -2*y**3 + 2*y**2 + 6*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 + 18 - (-5 - (-16 + -1)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1229, 22, -5, 30 in ascending order.\nAnswer: -1229, -5, -4, 22, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 4. Let z = 4 + d. Let w = z - 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9940 is divided by 1385?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/3))**(-37)\/(l\/(l\/l**(-1\/4))*l**(-7))*(l**(2\/3)\/l)**(2\/7)\/(l**2\/l**0) assuming l is positive.\nAnswer: l**(-1639\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (68\/(-51))\/(4\/(-30)). Solve 3*m = 5*m - k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1816368*z**4 + 1379691*z + 2 wrt z.\nAnswer: 21796416*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(4*u + 3*u - 5*u)*(-4 + 1 + 4) + 0 - 2*u + 0.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -105 + 280. What is the highest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d - 1. Let h(w) be the third derivative of 5*w**4\/24 - w**3\/6 + 606*w**2. Calculate 2*a(o) - 5*h(o).\nAnswer: -5*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 1 + (-22 + 331 - 219)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249400890.\nAnswer: 2, 3, 5, 31, 83, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 + -257a13?\nAnswer: -2579a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 14 + 4 - 2*n**3 + 10.\nAnswer: -2*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + 4*v)*(-4*v**2 + 2*v**4 + 4*v**2) - v**3 + v**3 - 3*v**5.\nAnswer: 5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3 = 0, -2*a + 11*l = 13*l - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 42. Calculate v(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -9 (c) 6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100010000011001101 - 110100110?\nAnswer: -100100010001001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + 4 + (1 + (sqrt(1539) - sqrt(1539)*3) - (2 + 5*sqrt(1539))).\nAnswer: -63*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 + -23. Let g be (-11)\/(-9) + 34\/w. What are the prime factors of g*(3 + (12\/4 - -65))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 7062980*l**2 + 14125945*l - 7062970.\nAnswer: 5*(l - 1412594)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.451561 rounded to 2 dps?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5164416 at most as big as 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/((16\/6)\/4).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 4517 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.54108 weeks to milliseconds.\nAnswer: 48106445184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.864 - -5. Let d = s + 2.864. Let h = 0 + 2. What is the closest to h in 4, 2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10203334*q**5 - 7*q**2 - 646781.\nAnswer: 612200040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2277*d = 2271*d + 60 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:08 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761623694?\nAnswer: 2, 3, 4519, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -225*s**4\/4 + 3405*s**3\/2 - 20029*s**2\/4 + 1245*s - 81 = 0.\nAnswer: 2\/15, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4590 + 45943\/10. Find the common denominator of r and ((-2)\/(8\/(-118)))\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*d - 107. Suppose -8*n + d = -189. Calculate the lowest common multiple of n and 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/3819695 and -32\/10175.\nAnswer: 19098475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 4*t**2 + 2*t - 3. Let b be y(4). Solve 17 = 4*v - 3*z, 2*z = b*v - 0*z - 23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(1*(0 + -2)). Let d = w + 1. Let r(z) = z**3 - 3*z - 3. Is r(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 3.9844.\nAnswer: -19.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*-15*695\/12510\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -233, -6, -5, 3, -207 in decreasing order.\nAnswer: 3, 1, -1, -5, -6, -207, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -4) + 55 - -9. Suppose -46 + h = 6*q. Which is smaller: -17 or q?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 606979125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*s = -2, -t + 1 = -s - 3. Let v(c) = -c**3 - 13*c**2 + 6*c + 10. Let f be v(-13). Let g = f + 79. What is the remainder when g is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ooxxnxoon.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6260 - -19398. List the prime factors of i.\nAnswer: 2, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6334 - -6334.00007734. What is q rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2 + 11*l - 11. Let y(m) = 10*m + 7*m**2 - 15 + m**2 - 3*m**2 + 5. Let j(c) = 4*f(c) - 5*y(c). Give j(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1627 + 887. Let z = 1112 + g. What is z rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4216 a factor of 107613400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)*(h\/(((h*h**(1\/3)\/h*h*h)\/h*h)\/h)*h*h)\/h*h)**(3\/2) assuming h is positive.\nAnswer: h**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 753870 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5195, -20171, -45119, -80033, -124907, -179735?\n\"Answer: m**3 - 4992*m**2 - 7*m - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.8764 months to decades.\nAnswer: 1.72397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.8 - -28.3. Let z = u + -4. Let k = 0.7 + 2.3. Which is the closest to -2? (a) 1\/2 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 3, 4912, -75 in ascending order.\nAnswer: -75, -55, 3, 4912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d*d**(-1\/4))\/d))*d**(-3)\/d)**(-24) assuming d is positive.\nAnswer: d**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12*d + 4. What is z(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 7.4. Sort w, -1, 3\/2 in decreasing order.\nAnswer: w, 3\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378) + -1*sqrt(378) + sqrt(378) - sqrt(378))\/sqrt(9) + ((sqrt(210)*2)\/sqrt(5) - sqrt(42)))*-5)\/(-1*sqrt(96) - sqrt(6) - sqrt(864))*5.\nAnswer: 25*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.87 + -5.37. What is the biggest value in -344, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from -237019.\nAnswer: -237019.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/455)\/(((-27)\/(-21))\/3)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i - 585 = -58*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809124597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202265 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(2 - (-4)\/(-3)). Let g be 1*2\/d - -1. Find the second derivative of -5*m - 2*m**5 + g*m + m wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*s - 8 = 0, 4*w + 4*s - 67 = -59 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 7:05 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10905? (a) 1\/7 (b) 4 (c) -2\/9 (d) -0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19654 and 693563?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -298, -641, -1054, -1561, -2186?\n\"Answer: -4*v**3 - 11*v**2 - 282*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 + 3*g**2 - 3. Give l(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 4*b**3 - 6*b**3 + 2*b**3 - 2*b + 2*b + (b - b + b**2)*(0*b - 3*b + 2*b) - 13*b**3 + 1 + 16*b**3 + 4.\nAnswer: 2*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -153879 and -153881 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = b - 0*b, 20 = 4*a - 4*b. Suppose -7 = 4*p + 3*g, 3*g + 0 = 4*p + a. What is the remainder when 94 is divided by (-11)\/(-22)*(39 + p)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-45)\/20)*-3)\/(0 - 2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 13*z - 65. Let g be p(5). Solve 5*d + 5*n - 5 = g, -2*n + 4*n = -6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*f - 29*f - 835*f - 14357 = -78328 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 6*d**2 + 8*d - 4. Let w be y(7). Let m be 27\/w*9\/3. Calculate the greatest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6514? (a) 0.04 (b) -0.3 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 41*i**2 - 16*i - 66. Let c be a(21). Suppose 15 - c = -6*p. Sort p, 6, 18 in descending order.\nAnswer: 18, 6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 199535 and 25599?\nAnswer: 729699495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.2*6474.9.\nAnswer: 66043.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 99, 4\/7?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2154.7 + -2154.7. Which is bigger: c or 758\/3?\nAnswer: 758\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 2 = 6*k. Let x(o) = -36*o - 33. Let y be x(k). Suppose 4*d + d - y = 0. Calculate the remainder when 74 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k = -50*k - b + 6, 0 = -5*k - b - 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -23*j**4\/3 - 49*j**2 + 23*j. Let n(k) = -31*k**2 - 33. Let g(w) = 2*c(w) - 7*n(w). Differentiate g(a) with respect to a.\nAnswer: 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llnl when four letters picked without replacement from llnnnnnlnlnnnl.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -137 - -406\/3. Let u be 2\/(-5) + 32\/30. Which is the closest to u? (a) 0.2 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -387*w**2 + 192. Let k(p) = -28250*p**2 + 14000. Let q(o) = 875*j(o) - 12*k(o). Let g(z) = -11*z**2. Give 135*g(c) + 4*q(c).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-200)\/6 - 6\/9. Let t = z + 65. Solve 7 = -2*h - 0*h - f, 5*h - 2*f = -t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = -2*i + 117. What are the prime factors of i?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 6*y - 2 - 11*y to the form g*y + c and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 398*(1 - 34\/28). Let p = -85 - s. What is t in 2\/7*t**2 - p*t**4 - 2\/7*t**3 + 2\/7*t + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 6, -1.\nAnswer: -1, -0.04, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/27)*t**1)\/(t**(1\/2))**(-11\/4) assuming t is positive.\nAnswer: t**(529\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 15687227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 3, 1.9, -6, -4?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**2 + 10991 - 10991.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 + -75. Suppose o - y = -4*x - 0*o, -4*o - 23 = -3*x. Let u = 8 - x. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60322564?\nAnswer: 2, 113, 317, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 15*g + 220. Suppose 0 = g*b - 24*b + 48. Solve 10 = 3*z + 4*r, z + b = -z + 2*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 26 - 33 = 4*f, -c = -4*f - 69. Let n = -11 - f. Let d = -3 - -3.1. Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(77\/(-2))\/(-11)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85604309?\nAnswer: 7, 12229187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 186488 * 1.\nAnswer: 186488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4497971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 8. Let r(z) be the second derivative of 24*z**3 - z**2\/2 + 7*z. Let m be r(1). Calculate the greatest common factor of m and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732960 times -0.4?\nAnswer: -693184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 28*f**2 + 26*f - 94. What is h(-29)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9343, -18707, -28073, -37441, -46811, -56183, -65557?\nAnswer: -74933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264483.9l to millilitres.\nAnswer: 264483900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5 - 543*m - 65*m**2 + 170*m**2 - 4330*m**5 - 1 - 105*m**2 wrt m.\nAnswer: -86600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 7:57 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8241, 16639, 25037, 33435, 41833, 50231?\n\"Answer: 8398*u - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 3 (c) -4 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -14. Suppose -r - 4*a - 13 = 0, -3*a = a + k. Suppose 2*s + 2 = r*s. What is the remainder when 2 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*g - 5*b, 5*b - 8 + 13 = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42775126*q**2 + 641889*q - 33?\nAnswer: -85550252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3 - 168*c**2 + 5502*c + 5668 = 0.\nAnswer: -109, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-10) - 2\/((-30)\/237). Calculate the greatest common factor of a and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 219 + -219.12. Let r = 0.14 + j. What is the fourth smallest value in 4\/7, 0.3, -4\/7, r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 2, k: 4, n: 3, g: 1}. Give prob of picking 1 k, 1 e, and 1 g.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1591*s - 540*s + 1355*s.\nAnswer: 2406*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -166 divided by -13\nAnswer: 166\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*w**2*z**2 + w**2*z - 4*w**2 + 3*w*z + 13826*w - 18*z**2 wrt z.\nAnswer: -44*w**2*z + w**2 + 3*w - 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -13*x + 289. Give f(27).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*((t*t\/(t*t*t**(-1\/3)))\/t)\/t*t\/(t*t**(5\/9))*t**20\/((t*t**13)\/t) assuming t is positive.\nAnswer: t**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-710 - -650 - (4 + -1 + -22))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*w + 24*w + 107*w**2 + 26*w.\nAnswer: 107*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1001 divide 29178799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 12*d**2 + d - 13. Let h(r) = 2*r**2 - r. Let w(n) = -4*h(n) + x(n). Let t(z) = -2*z**2 - 3*z + 7. Let s = -52 - -48. What is s*w(f) - 7*t(f)?\nAnswer: -2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.01 (c) 4.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -21*i**3 + 2*i**2 + 5. Calculate s(-2).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + 6*w**4 - 5*w**4 + w**4 - w**4 - w**4 + (0*w + 5*w - 3*w)*(w**3 + 3*w**3 - 2*w**3) + 4*w**2 + 2*w**4 - 4*w**2 + 0 - 2 - 5*w**4 + w**4.\nAnswer: 2*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 0.3, -5, 4, -16.32?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/30 + (-8)\/60. What is the nearest to 2\/9 in b, 1, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by 824179\nAnswer: -190\/824179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/12 + 2)*740\/50. Let q = b - -11\/5. What is the nearest to -0.1 in 1, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = 5*n, -w = 4*n - 2*w - 10. Let h = 22 - 12. Suppose h - 34 = -n*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + aa?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 - v**3 + v - 1 - 8 + 7 to g + c*v**2 + s*v**3 + q*v**4 + l*v and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 179246912 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*-6*(-2*(sqrt(425) + sqrt(425) + 0) + -4)*4)**2 + 5) + -2.\nAnswer: -35334151 - 829440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 15. Give w(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98\/9*z**2 - 2\/9*z**3 + 202\/9*z - 34\/3.\nAnswer: -2*(z - 1)**2*(z + 51)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 - 22 - 17 + 39.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32007, -32271, -32547, -32841, -33159?\nAnswer: -33507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.9021 rounded to one decimal place?\nAnswer: 45.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1742*q - 794357. Calculate m(-456).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1553.84 and 391.1?\nAnswer: 1944.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 2. Suppose 3*o + 0 = 4*w + 4, -4*o = -3*w - 10. Let q be r(w). Let j be (q - -4)\/(1 + 1). What is j rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 1, -47, -1\/3 in decreasing order.\nAnswer: 1, 1\/7, -1\/3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 80. Suppose -3*t + 0*t + 3*g = -57, 5*t + 4*g - 140 = 0. Let i = x - t. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6846 + -23.7566. Let n = g - -28.07192. Let t = n - 5. Round t to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 - 2 = 0, 0 = -2*i - 4*l + 360. What is the remainder when 1635 is divided by i?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 171 + 37)*(-a**3 + 7*a**3 + 2*a**3) in the form d*a**3 + z*a**2 + r*a + h and give d.\nAnswer: -1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1353 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/12 + c**3\/2 - 7*c**2 - 6*c. Let l be f(11). Calculate the greatest common divisor of l and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 16*i**4 + 35*i**2 + 8*i + 8. Let w(o) = 11*o**4 + 23*o**2 + 5*o + 5. Let g(z) = -5*q(z) + 8*w(z). Find the third derivative of g(m) wrt m.\nAnswer: 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8216.875l to millilitres.\nAnswer: 8216875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/9, -0.2, -2, 0.064 in decreasing order.\nAnswer: 2\/9, 0.064, -0.2, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 368 = -68. Suppose -32*a + 33*a + 4*p = -166, 664 = -4*a - 4*p. Let l = g - a. Is 15 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 3. Let j(d) = 4*d - 26. Determine j(h) - 2*q(h).\nAnswer: 2*h - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = -0. Solve 2*i + 3*c + 25 = 0, 5*c + 0*c = 4*i - q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 - 2.7. Let x = -0.1 - o. What is the closest to -0.1 in x, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19369900 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108427 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-8)*r))\/r*r*(r*r**(-3))\/r)\/(r**6)**(16\/7) assuming r is positive.\nAnswer: r**(-61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Suppose 10 = 4*q - 5*d, -k*d = q - 2*d - 7. Suppose -q*f + 40 + 315 = -5*v, v = -3. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5 + 9. Does 13 divide (a - -6) + (-3 - -90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1999471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (-46 + 82 + 31)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((((-22)\/6)\/11)\/(6\/(-18))). What is the second smallest value in 3, 0.267, s?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 44?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/115*(-6)\/27*-3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9)\/((-4)\/108). Let y = d - 7. Suppose y*t - t = 22. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6061078059.\nAnswer: 3, 23, 2053, 42787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 595 divided by -84271.\nAnswer: -595\/84271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-2\/7)*c**(2\/3)*(c*c\/(c\/((c*c**1)\/c)))\/c*c*c**6*(c\/(c*c\/(c\/(c*c**1*c))))**(-2\/69)*c*c**(-2\/17)*c**(-1\/3)*c assuming c is positive.\nAnswer: c**(95152\/8211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 35.99793. What is i rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y + 33. Let d = 33 + y. Calculate the common denominator of 53\/64 and 135\/(-80) + 0 + d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*h - 257*h = -111*h + 1173 - 12501 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1092270*o**2. Let g(x) = -x. Give g(l(a)).\nAnswer: -1092270*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28 + ((-6)\/14)\/((-1)\/7). Suppose 0 = -37*a + p*a + 12. Solve -9 - 1 = a*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 24208 = 4*l + 24228, 10 = -2*l + 2*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1692 and 987?\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 251795359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -z + 11935, -4*z = -3*p - 47806 + 250. Is z a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*(-28)\/14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1357, 462, -13 in descending order.\nAnswer: 462, -13, -1357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h + 198. Determine d(-2).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*y - 2*y + 20, -20 = -2*k - 2*y. Suppose k*d - 6*d = -112. What is the units digit of 170\/3 + 4 + d\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3445 and 2665105?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -0.7 (c) 0.151 (d) 3\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243925.\nAnswer: 5, 11, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 15 = -u, 3*m - u = -2*u - 53. Let r = -12 - m. Solve -z - 4*z - r = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 8*q + 404 = 0, -90*n + 5*q - 198 = -77*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442015 is divided by 87?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24365093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -24, 4 in decreasing order.\nAnswer: 5, 4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(15\/(-53)) + (-2)\/(-6). Let s be 122\/18 + 3 + 4\/c. What is the highest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-1)))\/d**(2\/5))**32*((d**(2\/7)\/d)\/d**7)**(-1\/21) assuming d is positive.\nAnswer: d**(-10886\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1159 or -1156?\nAnswer: -1159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1889, 8142, 18625, 33338, 52281?\n\"Answer: 2115*v**2 - 92*v - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = 2*f - 1319. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/120 - d**5\/20 + d**4\/3 + 3*d**3 + 2125*d**2. Give l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 64*q**3 - 72*q**3 - 70*q**3 + 204*q**3.\nAnswer: -2*q**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - 5 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 + 127*a - 127*a.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s - 1. Let z(v) = -v**3 + 4*v + 2. Calculate 3*b(u) + 2*z(u).\nAnswer: -2*u**3 - 7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -2 + -3 - -8. Suppose 3*p - 100 = 2*y, 0 = -2*p + r*y + 55 + 19. Suppose -4*x + v + 115 = 0, x + 5*v - p = 23. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, d: 2, n: 2, i: 3, k: 4, h: 2}. What is prob of sequence nf?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 10 = -46 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -800552.9 rounded to the nearest 10000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 - 5.2. Let m be 80\/(-44) - 2\/11. Let s be (m\/(-3))\/(32\/(-24)). What is the closest to s in -4, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*a = 10, 2*b + 2*a - 22 = -2*a. Suppose 0 = b*j + 3*w, 5*j + 5 = -5*w + w. Solve -2*g + 15 = j*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72a2a7 (base 12) to base 8\nAnswer: 6675437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1801 - 1798. Sort 2, 106, q in decreasing order.\nAnswer: 106, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, -0.2, 6, -3\/8, -1.6 in ascending order.\nAnswer: -5, -1.6, -3\/8, -0.2, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -84*k. Let r(y) = 197383 - 17*y - 197383. Determine 2*m(b) - 11*r(b).\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14\/8 - -3)*-1 and -5 + 0 - -7 - (-87)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11476*u + 3701*u + 6822*u - 803*u - 1988*u.\nAnswer: 19208*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 11*s - 3. Let c be x(9). Is (-2)\/10 - (-213)\/c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -163 (b) 4 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/(-6)*60\/(-20). Suppose -y*w + 21*w + 5 = 0. What is the remainder when 7 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*x**2 - 58*x**2 + 46*x**2 + 19 wrt x.\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + 12103200032?\nAnswer: 12103200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 650699345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 11*y**2 + 13*y - 12. Let l be a(12). Suppose 59*z - 56*z = l. Solve 0*r - 2*r - 6 = z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946 a factor of 30022686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*d = -8, 0 = -5*s + 4*d + 1 + 9. Suppose 103 = -s*b - 3*b + v, b + 23 = -v. Is 314\/(((-18)\/b)\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(2860\/(-12)))\/((3\/(-3))\/(-11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*m + 2555 - 2577 = 0, 0 = -4*y + 4*m + 28. Solve -3*x - y = 31*f - 32*f, 4*f + x = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722 is divided by 122?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/2 or 0?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*3 + 17. Suppose 2*j - m - 5 = 0. Suppose 4*i - i + k - 49 = 0, j = -2*k. Calculate the highest common divisor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 3*w**2 - 1. Let v(u) = 0*u**2 + 2*u**2 - u**2 + 0*u**2. Give p(v(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 16*h**2 + h - 15. Let x be i(16). Let w(y) = -3*y**2 - 2*y + 2. Give w(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 8*u**2 + 2*u + 7. Suppose -h - 2*q + 30 = -3*h, 5*q - 35 = h. Let b be (7 - 5) + -5 - (h - 1). What are the prime factors of a(b)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -26177?\nAnswer: 10470.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1066.77mg?\nAnswer: 1066770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2)\/(-4)*-2. Let b be -2*k\/(-8)*-12. Let q(l) = l - 4. Let y be q(4). Solve -j - 20 = -3*c, -b*c + 0*c + 15 = y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 519264 - 519264.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 1 r when three letters picked without replacement from hihhhoirhueoooehhe?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 + 23*h**2 - 5*h + 29. Let i be s(-17). Suppose 1344 = -4*f + 2*j + i, 2*j = 3*f - 15117. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s - 3. Let h be j(3). Suppose 0 = -h*f + 10 + 32. Let g = f - -14. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 3, l: 1, p: 5, e: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(7) + 1 + sqrt(7) + sqrt(63) + sqrt(7) + 2 + -2.\nAnswer: -1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 334 or 329?\nAnswer: 334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:18 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4, 21*q - 16*q - 2*t + 17 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**2 + 5*h**3 - 4*h**3 + 6*h**2.\nAnswer: h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 986 = -4*s, 5*i - 214 = 5*s + 781. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 406949\nAnswer: -11\/406949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t - 1. Let i be 4 - 3\/((-12)\/(-20)). What is f(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3 + -6)\/6)\/((-22)\/(-308)). Put -4, -3, d, 5, -45 in descending order.\nAnswer: 5, -3, -4, d, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 524484 and 1836.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(18) + 2 + -2).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10662199 is divided by 373?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 14*q + 3. Let k be 3\/(6\/14)*(-3 - 4). Let x = k - -42. Let g be c(x). Solve 5*z - 17 = -4*u, z + 1 - 12 = g*u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 20821260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 2*l + 32, -j = -5*j - 40*l + 43*l + 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 65*v**3 + 4*v - 3. Let q be h(1). Let t = q - 46. Suppose 2*z + 9 = 5*z. Solve z*w = -w - t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 0. Let v = -22 + 16. Let q = v - l. Let d(w) = -w**3 - 2*w**2 + 2. Give d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/823911 and -62\/31779.\nAnswer: 793426293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1916818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194097 is divided by 1921?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. Let z be -1*(p - 102\/3). Suppose 3*k + 4 = z. Solve -1 = -5*w - k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/9 - 636*g**2 - 768982*g\/3 - 252136328\/9 = 0.\nAnswer: -2404, -229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-10)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**4 + 21935966*q**2 + 2*q - 141011618.\nAnswer: 4*q**3 + 43871932*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**20*v*v*v*v*v**5)**26 assuming v is positive.\nAnswer: v**754","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9861 and 99?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117408*j + 166635*j + 518749*j.\nAnswer: 567976*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3101*o**2 - 5*o - 64. Let u be j(16). What is u rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.2, -168402, -3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*k - 10 = 0, -56*l = -57*l + 3*k + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938771.\nAnswer: 19, 49409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404424487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 times -144\nAnswer: 374.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 + 4*a - 4*a)*(-115 + 115 - 119*a - 19*a) in the form b*a + p*a**3 + u*a**2 + y and give p.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 3*x**2 - x - 1. Let a be j(-3). Let b(c) be the second derivative of -c**3 + 2\/3*c**a + 1\/6*c**4 + 0 + 2\/15*c**5 + 3*c. Factor b(w).\nAnswer: 2*(w - 1)*(w + 2)*(4*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((((165\/(-40))\/11)\/1)\/(-3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16946694 divided by -8\nAnswer: -8473347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 9*s - 2*s)*(-2 + 1 + 2).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 281834?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28719, -31459, -34199?\nAnswer: -36939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/2)\/(4\/15580). Suppose 0 = 2*b + 3*b - m. Let r = -1021 - b. Round r to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5948*i + 613074. Calculate d(-103).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m. Let k(p) = -p. Let r(z) = -z - 4*z + 5*z + 2*z. Let l(t) = 3*k(t) + 3*r(t). Calculate l(v(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 190166939 and -6.\nAnswer: 190166933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 2*n**2 - n + 4399. Let q be w(0). Let z = 1603 + q. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -484149.88543.\nAnswer: -484147.88543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -7.0664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 170111 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 12 + 0*g**5 + 0*g**3 - 15\/4*g**4 + 0*g + 1\/30*g**6 + g**2. Find the second derivative of d(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100597461.\nAnswer: 3, 677, 49531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522403, -2089598, -4701589, -8358376, -13059959, -18806338?\nAnswer: -25597513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 74 (b) 1\/14 (c) 2\/9 (d) 1\/5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2313 + -1100?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4896)\/(-240))\/(-17))\/(54\/20)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/(5*sqrt(20)\/sqrt(4)) - ((sqrt(448) - (sqrt(448) + -2)) + (2*sqrt(28))**2).\nAnswer: -114 + 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6*(12\/(-21))\/(5\/((-70)\/12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50261, -50240, -50199, -50132, -50033, -49896, -49715, -49484?\nAnswer: -49197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:17 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 7. Let o be g(7). Let v(j) = -j**2 + 17. Let p(y) = y**2. Let c(h) = 2*p(h) + v(h). Does 17 divide c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 2*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 280 from -499.1085.\nAnswer: -779.1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -10*t + 92. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 30250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.52 - -0.02. Let u = 17.62 - 18. Let y = -0.02 + u. Sort y, t, 0.5.\nAnswer: t, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 12:12 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (0 - 0) - (-1984 - -1987) - -59.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.0109707 rounded to 2 decimal places?\nAnswer: -115.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*t - 366192 = -6*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*u - 12, -4 - 1 = 5*u. Suppose -2*n + 19 = -n - j*f, -4*f = -2*n + 22. Find the first derivative of 7*a - a + 1 - 4 - n*a wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -113.82?\nAnswer: 120.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-7)*(7812\/594)\/31?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v - 5 - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 2257.\nAnswer: 902.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*i*l**3*t**3 - 722*i*l**3*t**2 + 3*i*l*t**2 - 4*i*t - 2*l*t**2 - 2*l + 3*t**3 wrt l.\nAnswer: 78*i*l*t**3 - 4332*i*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 657\/(-2)*10\/(-15). Let p = y - 3. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14175.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, and 1 d when three letters picked without replacement from qddtqsddst.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*u - u. What is the units digit of 218\/u + 4\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/16)\/((-1)\/14). Suppose -i = -4*j + 9. Solve 4*g + 9 = -5*r + j*r, 2*g + r = -5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) 2\/5 (c) -4\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a5d (base 14) to base 5.\nAnswer: -2243314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148395635?\nAnswer: 5, 17, 1745831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, p: 3, s: 2}. What is prob of sequence ppsp?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 8. Let o be u(9). Let w(c) = 4*c**3 + 5180 + 5*c**2 - 5180. Let x(r) = r**2. Determine o*w(n) - 5*x(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 0)*(2*p**2 - p**2 - 4*p**2).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(((-14)\/35)\/(37\/((-2590)\/(-56))))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(-7)\/21*(-771)\/2?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/638, -4556\/9, 1\/3 in decreasing order.\nAnswer: 1\/3, 1\/638, -4556\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 5*a - 20, 435*a - 438*a - 12 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 5250?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - m - 6 = -0, 0 = 4*m. Suppose -29*z - 4*p - 26 = -26*z, z - 10 = p. Sort q, z, -28 in descending order.\nAnswer: z, q, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2 - (7 - (0 - -2))) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*c**3 - 1 + 4 - 3.\nAnswer: 54*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1 + 2*f - 2 - 1. Let k be b(2). Solve -k*j - 6 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -6.1. Let f = b - 5.9982. Round f to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 127*l + 0 - 125*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 1.8. Let r = 6.3 - u. Let t = 3 + -2.9. Which is the second smallest value? (a) t (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*j - 13 - 31, 0 = -5*j + 10. Let u = 7 + w. Let b(s) = -9*s. Calculate the remainder when u is divided by b(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.319 + -0.133. Let y = -0.166 + i. Suppose 11 = 3*h - 4. Which is the nearest to 0? (a) y (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 427, 26 in increasing order.\nAnswer: -17, 26, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -13078*n - 104641. What is k(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((5 - 4) + 1 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1469538 = 243*k - 85139064. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(0 - 2\/(-48)). Let d(r) = 7*r**2 - 30*r - 3. Let m(v) = 18*v**2 - 63*v - 7. Let p(c) = 10*d(c) - 4*m(c). Calculate p(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*y = 338 + 94 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 893 and 8883.\nAnswer: 168777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 - 1852*f + 11254. What is l(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**6\/150 + 9*o**5\/100 + 27*o**4\/20 + 131*o**3\/30 + 6*o**2 - 97*o + 1. Suppose l(f) = 0. What is f?\nAnswer: -4, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8804*y**5 - 7746*y**5 + 59*y + 2 - 822*y - 3 wrt y.\nAnswer: 21160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-2 - 1 + 0)*(-3*f + 0*f + 4*f + (3*f + 3*f - 14*f)*(0 + 0 - 2) + f + 3*f - f).\nAnswer: -120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5987204723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 + 14113?\nAnswer: 13414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1197 and 3143189?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 + 262. Which is the nearest to -17? (a) 3 (b) -4\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1043 (base 7) to base 14\nAnswer: 1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 47721040 to the nearest one hundred thousand.\nAnswer: 47700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*m + 153*m - m**3 + 0*m**2 - 267*m**2.\nAnswer: -m**3 - 267*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*t + 9*t**5 + 12*t**5 - 36*t + (-4*t + 10*t + 3*t)*(t**4 - 2*t**4 + 2*t**4).\nAnswer: 30*t**5 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 11) to base 5\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255 - -374. Suppose -2*k = -4*i + 3*k + o, 5*k = -i + 11. What is the remainder when 36\/(-108) - (-308)\/6 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12919, 25836, 38753, 51670?\n\"Answer: 12917*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*6\/((-72)\/10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r + 40 = -4*n + 44*r, 0 = -14*n + 3*r - 140 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/7 and 115\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 - 3*f**2 + 6 - f**2 + 5*f. Suppose -2*u = -6*u + 44. Let i = 6 - u. Calculate k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 47*i - 179. Let p(l) = -15*l + 51. Give -2*j(q) - 7*p(q).\nAnswer: 11*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -112 + 92 + (7 - -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, 4, -6, 49, -8 in increasing order.\nAnswer: -11, -8, -6, 3, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o + 8 = 45*o. Let g(p) = 50*p - 29. Let f be g(o). Calculate the highest common factor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 3 (c) 1 (d) -3 (e) -2 (f) -0.3 (g) -268\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743835 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and 0.02.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 8*j**2 - 20*j + 9. Let q be c(11). Let i(l) = -56*l + q*l - 77*l. Let t(n) = -8*n**2. Give i(t(f)).\nAnswer: -152*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1840 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -26*n + 5596. Suppose 3*b - n = -355. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 18 = -5*c + 3*m, 0 = -3*c + 3*m + 60. Let h be -1 - (-3 - (1 + -1)). Suppose 3*v - 4*v = h, 0 = -5*n + 4*v + 28. Solve n*u + 4 = c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Suppose 0*c = w*c - 20. Suppose 2 = -c*d + 12. Let h(z) = 3*z - 2. What is h(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -3\/2*f**2 + 1\/18*f**3 + 0*f - 109. Factor r(p).\nAnswer: p*(p - 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b + 3. Let w(m) = m - 1. Let a(l) = r(l) + 2*w(l). What is a(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -152 at most as big as -4.28438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -6886787.\nAnswer: 13773574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73607\/5 - -14726. Let t(c) be the first derivative of 0*c**4 + 0*c**3 + f*c**5 + 0*c**2 + 16 + 10*c. Find the first derivative of t(d) wrt d.\nAnswer: 92*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/36)\/((-184)\/12).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = -4*o, 4*o + 7 = 5*m - 25. Let w(f) be the third derivative of f**5\/60 - f**4\/12 - f**3\/6 + 2*f**2. Let a be w(5). Solve -m*y - a = -2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1856 divide 14085291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uss when three letters picked without replacement from ussssuuuuusuuusssss?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56700 and 1953315?\nAnswer: 39066300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19\/3 - -7. Let y = 0.24 - 0.14. Let q = -0.162 - 0.038. What is the closest to p in q, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 158, 329, 528, 731, 914?\n\"Answer: -4*h**3 + 50*h**2 - 3*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*a + 3. Let m be (-1)\/((a\/(-33))\/1). Let k = -24 + 35. Calculate the highest common factor of m and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162372 - 37331. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -387, 170\/11, -3, -1\/3 in decreasing order.\nAnswer: 170\/11, -1\/3, -3, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-756)*-28 + ((-15)\/27)\/(-5). Let r(p) = -127*p**2 + 2*p + 1. Let n be r(-1). Let h be n\/(-20) - (-4)\/(-10). Is h > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 17*c**2 + 291*c - 408. Determine x(-20).\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1696211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 10*u + 171 = 0. Let s = 68 + u. Suppose -6*m + 7*m + 1 = 0, 3*m = -f + s. What is the highest common factor of 28 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 19*y - 36. Let s be v(21). What is the second derivative of -13 + 4 - 60*c**2 + 3 - 225*c + s wrt c?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31691*f**4 + 1744*f**3 - 5380755*f**2 + 18*f wrt f.\nAnswer: -760584*f + 10464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Suppose -c = 2*n + 1. Let g = n + 2. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 24850679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -219954 and -20315.\nAnswer: -240269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -60*i**2 - 240*i + 0*i**3 - 19 - 5*i**3 - 288 - 13 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 23*l - 21*l - 22, -3*l + 59 = 5*f. Solve -32 = f*o - 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-130) + (-510)\/(-663). Which is the closest to 5? (a) -2\/7 (b) -72 (c) -5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 20 = 2*r. Let y = 139 + -140.39. Let t = y - -2.39. What is the closest to r in -1\/3, 2\/5, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -97118, -194201, -291294, -388403, -485534, -582693?\n\"Answer: -j**3 + j**2 - 97079*j - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/7? (a) -3 (b) 4 (c) 0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -204, -291, -458, -711, -1056, -1499?\n\"Answer: -f**3 - 34*f**2 + 22*f - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.612, -12\/5, -2\/101?\nAnswer: 0.612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -124190.962 + 124379. Let k = c - 187.9080112. Let g = -0.13 + k. Round g to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613895 is divided by 4914.\nAnswer: 4559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -a?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 129\/101, -2 in descending order.\nAnswer: 129\/101, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -0.1, 2\/3, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2136144 + 4272287 - 2136143 - 410*y.\nAnswer: -410*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 65*h**2 + 2*h + 2. Let a be b(4). Let r = a + -270. List the prime factors of r\/25 + (-1)\/5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 0.1 (c) -0.05 (d) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11*3\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-357)\/14*6\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6953 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 36.1?\nAnswer: -7.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10*(0 + (-1 - 4)). Suppose -5*h - 5*o = -16 - 4, -4*o = -3*h - 9. Solve h = 2*f - 5*i + r, -3*f + 2 = -4*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 4*q**3 + 5*q**3)*(-q + 7 - 7)*(-5*q + 0*q + q).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 376 - 6?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994 is divided by 331.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127 + -8.783.\nAnswer: 118.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*b*o**3 - 2*b*o - 3317*o**4 - 8*o - 77240 wrt o?\nAnswer: -204*b*o - 39804*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -40179\/341 at least -118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1045*j + 6678. Give x(-8).\nAnswer: -1682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1423*c - 8. Let m(d) = -1422*d - 7. Determine 6*m(f) - 5*o(f).\nAnswer: -1417*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*h - 129 + 37. Solve 7 = -3*b - y - 2, -h*b + 2*y - 22 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92224 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -134. Suppose -3*p = w - 13. What is p rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -449a6a9 (base 11) to base 14\nAnswer: -1090580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -10. Let t(l) = -2*l**2 - 7*l + 22. Let r(c) = 3*c**2 + 10*c - 33. Let z(d) = 5*r(d) + 7*t(d). What is the tens digit of z(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1260) + -2*-5*sqrt(35))\/((sqrt(2560)*-1)\/(sqrt(8) + 2*sqrt(40)\/sqrt(5))).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*4\/(-16))\/(13\/(-13)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1103*y + 6742. What is h(-5)?\nAnswer: 1227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-6)\/18*1314\/3212?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 - 10*z**2 - 4*z**2 + 194*z**3 + 14*z**2.\nAnswer: 184*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**3 + 6*n**2 - 18*n + 4.\nAnswer: 2*(n - 1)*(n + 2)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 g when four letters picked without replacement from {g: 2, k: 6, m: 3, h: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w - 2. Let j be f(2). Suppose -b - 3070 = -6*b. Suppose -b = -6*z + j*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12887 or -12939?\nAnswer: -12939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, -5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -d - 4*y + 4, y = 3. Let z(a) = -7*a**3 + 4*a**2 - a + 4. Let r(p) = p**3 + p**2 + 1. Let m(t) = -4*r(t) + z(t). List the prime factors of m(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 534734 and 11022?\nAnswer: 17646222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1832 smaller than -1833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 16*m - 4 - 4 to i + b*m and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.94? (a) 1 (b) 2 (c) 6\/23 (d) 15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4909 by -34241.\nAnswer: 4909\/34241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2635 - -2295. Which is greater: r or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 844219 and 4988?\nAnswer: 3376876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 111 - 7. Let f = q + 15. What is the remainder when f is divided by 88\/(-40) - 2626\/(-130)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(5\/6)*u**5)**(-48) assuming u is positive.\nAnswer: u**(-328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 74. Suppose 0*g = 8*g - 368. Suppose n - g - c = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 9. Let v(f) = -f**2 - 2*f. Let p be v(5). Let m = -33 - p. Solve 0 = a*i + m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -4*y**7\/7 + 121*y**3\/2 - 252*y. Find the second derivative of o(u) wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3753954455?\nAnswer: 5, 31, 24219061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1328.\nAnswer: -1\/1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*x + 0*x - 26*x**4 + 27*x**4)*(5 - 4 - 2) to the form k*x + b*x**2 + o*x**3 + d*x**4 + v and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28216, -56615, -84988, -113323, -141608, -169831?\nAnswer: -197980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 - 226478138*d\/3 + 12823086747986761\/3.\nAnswer: (d - 113239069)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/14023300 and 14\/3505825.\nAnswer: 14023300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62505617?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/5)*u)\/u**(1\/20)*u*u**(-22)\/u*u*u\/(u\/(u**(-11)\/u*u))*u assuming u is positive.\nAnswer: u**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1202 = -80*n - 257 - 2541 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**5\/2 - 36*y**4 + 117*y**3 - 120*y**2 + 81*y\/2 = 0.\nAnswer: -27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*k**4 + 0)*(-k - 2*k + 2*k) + (-39*k**2 + 114*k**2 + 237*k**2)*(2 - 2*k**3 - 4 + 0*k**3).\nAnswer: -622*k**5 - 624*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/210)\/(-1*1\/95). Solve 1 - x = 6*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**3 + 817*j**2 - 817*j**2.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72514, -145050, -217586, -290122, -362658?\n\"Answer: -72536*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - j + j + 0*j**3 - j**3 - j**3 + (5*j + 18*j + 2*j)*(2*j**2 - 3*j**2 + 3*j**2).\nAnswer: 49*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 at most 306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011110 (base 2) in base 5?\nAnswer: -10414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/45 + (-488)\/6. Let p = v + 158. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31454114 + 0?\nAnswer: 31454114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1062 - -44?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -1\/3*x**3 - 76 + 0*x + 1\/4*x**2. Factor y(d).\nAnswer: -d*(2*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161356003663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 82849.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 516664 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 676836*s**4 - 83758*s wrt s?\nAnswer: 8122032*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 + 897*d**2 - 783293*d + 670597189\/3.\nAnswer: -(d - 1189)*(d - 751)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (944\/(-16))\/(-1 - 1 - -1). Let f = -2 - -17. Let -36 - i*p**3 - 9*p**2 + 84*p + 20*p**3 - f*p**3 = 0. What is p?\nAnswer: -3\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxxlwwwllwk. What is prob of picking 2 w and 1 l?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 12:35 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 + 16*j + 3. Let p be k(-11). Let i = p + -144. Suppose -2*q - 263 = -5*q - 4*m, 2*q + m - i = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -583 + 6?\nAnswer: -57c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 65*c**3 - 5*c**2 + 5*c. Let m(d) = -32*d**3 + 3*d**2 - 3*d. Give 5*m(x) + 3*q(x).\nAnswer: 35*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*z = -8*z, 0 = -4*c + 5*z + 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2833980 and 3\/53890.\nAnswer: 48177660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1132310?\nAnswer: -1132313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1206 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-64)*(-172)\/43.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 421 - -13521233?\nAnswer: 13522054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8096 + -8084. Suppose -3*t = 2*c - 15 - 1, 3*c = -4*t + 23. Suppose t*n - 1 = 1, 5*i - 2*n = -7. Is k < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 182*j + 6692. Determine i(-37).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1110110000000 (base 2) to base 10\nAnswer: -7552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**2\/p)\/p**(-2))**1)**(-5))**18 assuming p is positive.\nAnswer: p**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 6*h**2 + 6*h - 7. Let u be r(-7). Let i = 8.3 + -1.5. Let o = 7 - i. Sort o, u, -3\/7 in decreasing order.\nAnswer: o, u, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8366 times 43.2\nAnswer: -361411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -3033.2.\nAnswer: 1213.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/10 + 16\/(-40). Suppose 6*d + 40 = i*d. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m**3 - 17*m**3 - 2084 + 2084 + 43*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlwppwhpvwmpp. Give prob of sequence wvw.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34198 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 11*b - 13. Let g be w(13). Let o = 12 - g. Let l be (o + 2)*2 + -2. What is l rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75210872 to the power of 1\/2, to the nearest integer?\nAnswer: 8672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -22, 283, -6, -1, 6.\nAnswer: -22, -6, -3, -1, 4, 6, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + (-24040)\/(-600) + 9.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q. Suppose q = -h + 4*h. Suppose -57 = -h*u - 3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 119361*t + 119409. Calculate v(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 - 123. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219 + 1779 = 218*g - 270*g for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -13. Let j be 0 - (-1 + -1)*q. Suppose 0 = -2*z + 1 + 17. Solve c - 2*n = 2*c - 3, n - z = j*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 r when four letters picked without replacement from rerrererrrrrrrrrrrrr.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4 + 1, -x + 4*h + 20 = 0. Let a(u) be the second derivative of -1\/3*u**3 + x + 7\/2*u**2 + 47*u. Calculate a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30821.2 + -30821. Let g(x) = -4. Let j(o) = -o. Let y(k) = -g(k) + j(k). Let z be y(-3). Which is the biggest value? (a) z (b) l (c) 3 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-388)\/(-10))\/((-9)\/(-765)). Suppose 708 = -10*w + d. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, p: 1, g: 4}. What is prob of picking 2 b?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 95?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c = 14. Let m = c - 0. Suppose -2*f + m*f = 10. Solve 4 = 2*g + f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s**3 + 17*s - 6. Let h(r) = -r**3 - r + 1. Let u(t) = 6*h(t) + m(t). What is the second derivative of u(v) wrt v?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**2\/2 + m - 2. Let y(n) = n**2 + 3*n + 3. Let d(l) = -2*c(l) - y(l). Give d(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**5\/20 + q**4\/12 - q**2\/2 + q. Let j be -7 - 9*(-6)\/9. Let t be y(j). Solve -2*v = -t - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196100 and 19610?\nAnswer: 196100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a tonne in kilograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 5*x**2 - 7*x - 7. Let b be v(-5). Suppose k + 22 = 5*l, 5*l + k - 5*k - b = 0. Solve l*d + d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 9. Let v(q) = 19*q**2 + q - 3. Let j be v(-2). Let a = 70 - j. Let t be 12\/(4 + -3 - a). Determine n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -39 (b) 0.41 (c) -2\/15 (d) 2 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29738*q**2 + 14868*q**2 - 29*q**3 + 14868*q**2 + 10)*(-5*q + 2*q + q).\nAnswer: 58*q**4 + 4*q**3 - 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.61, 32562, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101.56897 - -0.03897. Let b = y + 102. Let c = -0.07 + b. What is the smallest value in -0.5, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i - 2 + 3*i**2 + 11*i. Let k(r) = 4*r**2 - 3. Let g(n) = n**2 - 4*n - 2. Let y be g(5). Give y*h(o) - 2*k(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - k, 0 = 5*w - k + 15 - 33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**4\/4 - 16*j**3\/3 + 17*j**2\/2 - 5. Let v(d) = 0. Calculate d.\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-4)\/8 + 21. Let d = -53 + 30. Let u = m - d. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.2 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 109 = -3*k - 3*x, 2*x - 46 = -2*k. Calculate the lowest common multiple of 36 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 35*x**2. Let u(g) = 28640 - 28640 - 13*g. Determine c(u(d)).\nAnswer: 5915*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*f - 26. Solve -f*b = -b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7055*x**3 - 32500*x**3 - 39702*x**3.\nAnswer: -65147*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1168.\nAnswer: 1\/584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262922, -262920, -262918, -262916?\nAnswer: -262914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/15, 17, -3\/2, -2\/131, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 293, 452, 613, 776, 941?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 4 - 2) + 5. Suppose 4*q + k - 13 = 43, -q + 2*k + 14 = 0. Find the first derivative of q*p**2 + r - 11*p**2 + 2 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-7)\/(56\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) + 3\/(-6). Let h be v\/(-6) + 2\/2. Is 3 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 155\/2 - (-1)\/2. Let r(y) = -2*y**2 + y + 113. Let f be r(0). Let b = f - p. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 289 + 31*x + 315 - 86 - 24*x + 2*x to z + n*x and give z.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 + 145. Solve p + 5 - n = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -362597*h**4 + 12*h**2 - 20462143 wrt h?\nAnswer: -1450388*h**3 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5948 is divided by 769?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 + -60. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4939450 is divided by 370.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-105) + (-3580)\/14. Let t = -254 - y. Solve 3*c - 2 = 2*h, -4*h - 4 = -t*c - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -w + 15, 3*w = 9*f - 11*f - 25. What is the biggest value in 3, f, -0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287 - -299. Calculate the greatest common factor of 228 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53276921, -53276927, -53276933, -53276939, -53276945?\n\"Answer: -6*s - 53276915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2608, -5213, -7820, -10429?\n\"Answer: -u**2 - 2602*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25332.43 micrograms in kilograms?\nAnswer: 0.00002533243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 5*x - 261 = -81 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f = -0*f - 52 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:56 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 1. Let n be i(-1). What is the third derivative of 3*a**2 + 6*a**n - 3*a**4 - 6*a**3 wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*c - 25 + 1, -4*c + 4*q = -28. Let p(d) = 2*d**2 - 6*d + 2. Does 9 divide p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 8c4?\nAnswer: 8c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1640?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + w + 1637, 0 = -y + 4*y + 3*w - 1629. Let v = y + -542. Solve 2*d = -5*z + 23, 2*z - 14 = -v*d + 7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Let i(o) = -o**3 + 7*o**2 + o - 5. Let y be i(7). Let f(p) = y*p - 6*p - 3*p. Determine f(r(m)).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211222102200 (base 3) to base 16.\nAnswer: -f02b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 2 + 8*c**2 - 4 + 3 - 2. Suppose 2*t - 2 = t. Does 13 divide l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4553 - 7544 + 21110 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-32)\/(-24)) + (-8)\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 311, 368, 395, 386, 335, 236, 83, -130?\n\"Answer: -l**3 - 9*l**2 + 91*l + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n**3 + 9*n**2 + 3*n - 12. Let o(j) = 12*j**3 + 17*j**2 + 7*j - 20. Let c(g) = 3*o(g) - 5*w(g). Let f = -1 + -5. Let x = f + 1. Determine c(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/2*(5 - 4). Suppose 5*g - 33 = 2*g. Calculate the greatest common factor of v and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -79\/315724?\nAnswer: -79\/315724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/(u**(3\/4)\/u))))\/u*u)\/u)\/u*u**(2\/11)*(u**(-1))**(-15) assuming u is positive.\nAnswer: u**(635\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h + 102 - 102)*(1 - 1 - 5)*(-5 - 8 - 5 + (1 - 4 + 4)*(-6 + 2 + 3)).\nAnswer: -1425*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-2)\/l)\/l*l)\/l*l*l**(-2))\/((l\/l**0)\/l**(2\/5)))**(1\/11) assuming l is positive.\nAnswer: l**(-23\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.3 and -66508258.\nAnswer: -66508252.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168169, 336340, 504511, 672682?\nAnswer: 840853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340230 (base 5) to base 14.\nAnswer: -44cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*b**2 - 16*b - 23*b**2 + b**4 + 3*b**3 - 3 + 4 + 17*b to l*b**3 + f*b**4 + d*b + m + c*b**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 310*z + 314*z + 3 - 8*z**2 - 629*z. Let j(t) = -39*t**2 - 24*t + 15. Give -24*f(p) + 5*j(p).\nAnswer: -3*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 take away 4.5?\nAnswer: -4.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 13*l + 4790. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37191.45 micrograms?\nAnswer: 37191450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.9947399 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 19*g - 51. Let t be u(15). Let a be 5 + 52\/(-12) + (-33)\/t. Is (-678)\/8*-23 + a\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(495*h + 483*h + 453 - 454).\nAnswer: -1956*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-20)*1)\/(24\/10). Which is the third biggest value? (a) 1\/4 (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) 26 (c) -1\/3 (d) -0.041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 953, 1896, 2839, 3782, 4725, 5668?\n\"Answer: 943*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/120 + g**5\/6 - 13*g**4\/24 - 5*g**2. Does 11 divide z(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.7348 - -0.0052. Let g = 11.8 - n. Which is smaller: 0.9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/23)\/(n*n**(-3\/7)\/n))\/(n**(2\/11))**22 assuming n is positive.\nAnswer: n**(-589\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -38*n**3 - 19*n**2 - 87*n + 1. Let p(c) = -3*c**3 - 2*c**2 - 7*c. Let y(k) = d(k) - 12*p(k). Give y(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 1:53 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -245 (base 8) to base 13\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 9 + 21. Suppose 0 = g*t + q - 153, -5*t - 2*q + 202 = -t. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + 3d56?\nAnswer: 3d6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 37. Suppose -122*i = -126*i + 36. Let m(k) = -7 - i*k + 7*k + 7. Determine m(v(f)).\nAnswer: -2*f - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -372*c - 473. Let y(z) = 187*z + 272. What is -4*m(p) - 7*y(p)?\nAnswer: 179*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcrrsrsllcrbcclcc. Give prob of picking 1 r and 1 l.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 17607.\nAnswer: 52821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -38*n + 46. Let z(x) = -17*x + 22. Determine 4*r(f) - 9*z(f).\nAnswer: f - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 = -3*a - 4, 2*v + 5 = -3*a. Let j be (5 - 5) + 0\/a. Solve t - 1 + j = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-89)\/(-5) - (-1)\/5. Suppose -2*r - 22 = -4*q, 0*q - w = -q + 3*r. Let -2*y**5 + y**3 - 2*y**2 + y**q + 0*y**5 + 2*y**4 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 135.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5957, -5872, -5787, -5702, -5617?\n\"Answer: 85*y - 6042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (-1 + sqrt(171) + sqrt(171)*1 + 1*(sqrt(171) + 1))**2.\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 17*j**2 + 9*j + 5. Let i be k(-3). Suppose 104 + i = 4*p + 5*v, 0 = 4*p + v - 223. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -8. Suppose 36 = -4*i - k. Are -12 and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (0\/(-1) - 1). Let q = 36 + -24. Let c = q + u. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18879.61 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 20 = 0, z + 0*z = -5*u + 22. Calculate the least common multiple of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5388.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, -0.2, -221, -5\/3 in descending order.\nAnswer: 2, 0.3, -0.2, -5\/3, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, -4, 2, -0.4, 2\/1493, 1, 2.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/10*n**5 - 4 + 0*n**3 + 1\/12*n**6 + 0*n + 0*n**2 + 0*n**4. Solve f(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*a - 56 = -90*a. Is a*(-7)\/14 - -4857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 7*b - 263. What is z(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/14)\/((245\/(-70))\/(98\/(-16)))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1192)\/(-20) + (-3)\/5. Let b = m - 115. Is 10 a factor of (-16)\/b - (-348)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 184*n. Let m(s) = 9*s. Determine m(v(g)).\nAnswer: 1656*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*b + 267 - 180. Solve 5*c - b*o + 2*o - 2 = 0, -5*c = -5*o - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6475 and -41\/70.\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2 - 4*q + q)*(-3 - 4 - 2).\nAnswer: 18*q - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8428967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**7*b)\/b*((b\/(b*b**(-1\/23)*b*b))\/b)\/b)**(-29\/3) assuming b is positive.\nAnswer: b**(-899\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 3436.\nAnswer: -1\/1718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l - 10. Let b be a(-4). Suppose b*g - 46 = -0*g. Let s = 12 - 9. Solve 5*x + g = -n, 4*x + s + 4 = 3*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and 375338?\nAnswer: 375338.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, -3, -15, -35, -63, -99?\n\"Answer: -4*l**2 + 8*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 13, -3, -29\/16 in decreasing order.\nAnswer: 13, -0.4, -29\/16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-262316)\/30 - (-2)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 326.25 to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53580, -103677, -153774, -203871, -253968, -304065?\n\"Answer: -50097*r - 3483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -676*5\nAnswer: -3380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*u + 27. Let i be ((-14)\/78)\/((-3)\/63) - u. Let o = 4\/39 - i. What is the closest to o in -2\/11, 1\/2, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52.29074 + -61.589. Let k = t - -9.3. Round k to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-8))\/(1 - (-26)\/(-10)). Which is the fourth biggest value? (a) q (b) 0.5 (c) -1\/6 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 11609 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108517920 to the power of 1\/2, to the nearest integer?\nAnswer: 10417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25521.24kg in tonnes?\nAnswer: 25.52124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/29)*((l*l*l\/(l\/((l**10\/l)\/l)))\/l)\/l*l\/l**(-3\/4)*(l*l**(-1\/3)*l*l*l)\/l assuming l is positive.\nAnswer: l**(4345\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4310269 + -0.431. What is w rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 i, and 1 z when four letters picked without replacement from iiituizm?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 4200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 388.3 - 388. Let b = 6.202 - 0.202. What is the nearest to -0.02 in y, -1, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzh when three letters picked without replacement from zahzhzy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/9073 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -403, 225 in descending order.\nAnswer: 225, -1, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -0.069.\nAnswer: -0.00414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.3. Let y be (18 - (-511)\/(-28))*(-12)\/7. What is the nearest to r in 0.1, -4, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.15045047 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -3\/4213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 + 34.6. Round z to the nearest integer.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(2299) + 2 + -4)**2 + sqrt(2299) + ((3 + sqrt(2299))*4)**2 - ((sqrt(2299) - (1*(sqrt(2299) + -1) + sqrt(2299))) + -1 + 5)).\nAnswer: 1034*sqrt(19) + 39228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -87, -0.2, -11\/4, -566\/5, -32\/3?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (22 + -22) - 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31683 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p*p\/(p*p**(-6)*p))\/p*p\/(p**(31\/3)*p*p)*(p\/((p\/(p\/(p**40*p)))\/p*p))\/p**(8\/5) assuming p is positive.\nAnswer: p**(-704\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c - 10 + 65. What is the second derivative of -2 + 7*s**5 + 9*s**5 - 7*s**5 - 8*s + 14 + 7*s**c wrt s?\nAnswer: 320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18346, 146772, 495352, 1174162, 2293278?\n\"Answer: 18346*a**3 + a**2 + a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2359882 and -2360019 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*s + 37*s - 52*s**2 - 754*s**4 + 44*s + 3078*s**4 + 1635*s**4 wrt s.\nAnswer: 95016*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 10:55 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) 0.3 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053 = -641*g + 322 - 32784 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.01719\nAnswer: -0.05157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 536 - 20*m**2 - 3884*m**4 + 3*m**3 - 4*m**3 + 3885*m**4 + 18*m**2 to the form y + q*m**2 + o*m + x*m**4 + r*m**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(3\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -50. Let y = n + -4.9999392. Round y to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242993, 971511, 2185701, 3885557, 6071073, 8742243, 11899061, 15541521?\nAnswer: 19669617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -204*y + 208*y - 4. Let x = -368 - -372. Let u(a) = -a. Let k(r) = 11*r. Calculate x*u(l) + y*k(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 3*s + s)*((-2*s + 3*s - 3*s)*(0*s**3 + 2*s**3 + 2*s**3) - 3 - 2*s**4 + 3 + 3*s + 2*s**4 - 3*s).\nAnswer: 16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -19*c + 4. Let q(f) = 75*f - 17. Let l(p) = 2*q(p) + 9*r(p). Let b(a) = 210*a - 21. Let o(h) = 4*b(h) + 42*l(h). Let u(x) = 2*x**2. Give u(o(n)).\nAnswer: 3528*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 365. Suppose -b - 5*b + a = 0. Let r = -65 + b. Let x(t) = -t**3 - 10*t**2 - 11*t - 13. Give x(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -579*v - 23534. Calculate p(-41).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.33 - -3.6994.\nAnswer: 20.0294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*h + 16 = -10, 209*h - 458*h + 174*h = f - 154 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (531\/(-118))\/(2*3\/(-14))*2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000011010000 - 10?\nAnswer: -10101000011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 17, 204, -8 in ascending order.\nAnswer: -20, -8, 17, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22017053 (base 8) to base 9\nAnswer: -8803251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 5*u**2 + 15*u + 11. Determine g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*-2)*2 - (sqrt(77) + (sqrt(77)*-2 - sqrt(77) - sqrt(77) - sqrt(77)) - sqrt(77))*6)\/(-1*sqrt(343)*3).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -229 - -229. Suppose 0 = -f - 280 + 274. Put c, 1, f in descending order.\nAnswer: 1, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9\/2627, 2, 1\/3, -74 in increasing order.\nAnswer: -74, -2, 9\/2627, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 909, 1180, 1495, 1854, 2257, 2704, 3195?\nAnswer: 3730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 399\/12 + (-6)\/(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h + 10. Let i(q) = -q**2 + 30*q + 75. Let g be i(32). Let z(w) = 2*w + 2. Calculate g*z(a) - 2*y(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*sqrt(1053)*-1*6 + 4))**2.\nAnswer: 2592*sqrt(13) + 1364704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023456 rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**6\/12 - 33*j**5\/10 + 359*j**4\/8 - 1199*j**3\/6 - 363*j**2 + 2662*j - 248. Solve f(t) = 0 for t.\nAnswer: -2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -2\/5, 65, 2\/19 in descending order.\nAnswer: 65, 0.11, 2\/19, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.742, 1, 2.361 in descending order.\nAnswer: 2.361, 1, -0.742, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -3*f**4\/4 - f**3 + 3*f - 26. Let g(w) = -2*w**3 - 4*w**2 + 4. Give -3*g(r) + 4*k(r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 134398777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -19. Let t(i) = 0 + 2*i - i + g - 1. Give t(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 - 141.02629. Let l = -0.00378 + g. Let f = -0.03 - l. What is f rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 584 = 4264. Suppose 7*n = -s + 218. Let b = n - -79. What is the greatest common divisor of 35 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53422000 rounded to the nearest one million?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 378, 762, 1226, 1776, 2418, 3158, 4002, 4956?\n\"Answer: v**3 + 34*v**2 + 275*v + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.181? (a) 1\/118 (b) 2 (c) 511\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 25, -b - 35 = -4*b + 4*x. Let r(o) = -4*o**2 - 3*o**3 + 0*o**3 - 4*o + 0 + 5. Let s(w) = -5*w**3 - 6*w**2 - 6*w + 8. Calculate b*s(f) - 8*r(f).\nAnswer: -f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + x**2 - 3*x**2)*(3*x - 53185*x**2 + 23*x**3 + 53242*x**2 - 5*x + (x**2 - x**2 + x**2)*(-5*x + 0*x + 0*x)).\nAnswer: -36*x**5 - 114*x**4 + 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 455*a + 3182. Determine m(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 130?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = -28. What is the lowest common multiple of 3 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2. Suppose 7*d - 2 - 3 + 5 = 0. Let s(f) be the third derivative of 0 + 0*f**3 + d*f**4 + 13*f**2 + 0*f - 1\/12*f**5. Give s(a(u)).\nAnswer: -45*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - 47 - (5 + 0 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7017817 is divided by 6522.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 2.6. Put -0.03, x, -0.4 in ascending order.\nAnswer: -0.4, -0.03, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -283157439*o**2 - 928889498*o wrt o?\nAnswer: -566314878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 + 2.72. Let r = -0.05 - d. Let m = r - -8.37. Does -0.1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - 75. Let p = n + 5. Solve -2*f + 5 + 13 = -4*b, p*b - 2*f = -16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1649 and 20808?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 72 + 48 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 4*b**2 + 2*b**2 - b**2. Let j(a) = 10*a + 5. Let t(p) = -p + 1. Let d(c) = -j(c) + 5*t(c). Give d(k(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*l**3 + 3 + 240*l**3 - 66*l**3 - 2 + 288*l**3.\nAnswer: 550*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 11:32 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.3395l in millilitres?\nAnswer: 667339.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 - 4*k**2 + 9*k - 14\/3.\nAnswer: -(k - 1)**2*(k + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -815, -1637, -2455, -3263, -4055, -4825?\nAnswer: -5567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 33. Suppose -t = 4*q - 18. Solve -5*h = -3*n + 7, -2*n + q*h = n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73766 (base 9) to base 7.\nAnswer: 262050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/66 and -17\/95.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*c = 1280, -3*c + 150 = -2*w + 808. Let a be -11 + 14 + 321 + 0. Is a < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 572243820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3\/2)*x**(4\/7)*(x**1\/x)\/(x*x**(3\/4)))\/(x**0\/x*x**(-2\/5)*(x**0)**(-38)) assuming x is positive.\nAnswer: x**(381\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -x + 21, i + 8 = -i. What is the derivative of x*c + 77*c**3 - 69*c**3 - 6 - 5*c wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w - 25. Let t be z(-6). Let d be (30\/(-25))\/(t\/25). Is 4\/d*4*-9 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*3\/(-72))\/(1\/(-3))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4190, 3955, 3720, 3485, 3250?\n\"Answer: -235*g + 4425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.12 (c) 2\/21 (d) 4.1 (e) 1495 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmm when three letters picked without replacement from mmcmcnmmimmnmmmm.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 40*v = -15. Calculate the remainder when 136 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/60 + b**4\/24 + b**3 + 523*b**2. Give q(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1 + 0\/(0 + -4)). Let c(k) = -6*k + 3. Let z be c(d). Solve 3*r - z = 6*r, -r = -2*o - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 21 - 93 = 0. Solve 3*g - i*g = -25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 988*r**3 + 7*r**2 + 7*r - 1377. Let o(m) = -1003*m**3 - 6*m**2 - 6*m + 1377. Let d(h) = 7*o(h) + 6*q(h). Differentiate d(l) with respect to l.\nAnswer: -3279*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.344768 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/r**(3\/7))*r*r\/((r\/(r\/((r*r\/r**(-3\/8))\/r)*r*r))\/r) assuming r is positive.\nAnswer: r**(227\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*b + 388 - 471 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*y + 120*y = 0. Is y greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141 - 324?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 534 and 7962118.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/11? (a) 2\/13 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*q + 1 + 0*q)*(2*q**2 - 2*q**2 - 4*q**2) in the form x*q + h + t*q**2 + a*q**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 12 = -9*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145*j**4*t - j**4 - 2*j**3*t - 2*j**3 + 871*j**2*t + 68*j*t wrt j?\nAnswer: -3480*j*t - 24*j - 12*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-1 - sqrt(126))\/(-6*1*sqrt(2) - sqrt(2)).\nAnswer: 6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*t + 3241, 2*n + 53 = t - 598. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7 = -2*o + 21, 4*o = 3*z + 10. Let f be 1 + (0 - -1) + o. Solve 8 = 2*v + f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 1293*m + 52548. Calculate n(42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*(-65)\/((-26390)\/(-87))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -337 + 0?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453 is divided by 288?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - v + 8, 23 = 4*w + 5*v - 4*v. Calculate the highest common divisor of 25 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 71.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -855954 divided by -12?\nAnswer: 142659\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**4 + s**3 - s**2 + s + 1. Let a(m) = -19*m**4 - 17*m**3 + 5*m**2 + 25*m + 10. Let n(i) = -a(i) + 4*q(i). Find f, given that n(f) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 5:31 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5)\/f**20*(f\/(f\/(f**(-7)\/f)))**41)**(25\/4) assuming f is positive.\nAnswer: f**(-8715\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > -1951\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + q - 1, c - 6*q = -3*q - 19. Let z be 14\/4 - (-2)\/(-4). Sort z, -5, c.\nAnswer: -5, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4443431061?\nAnswer: 3, 1481143687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18688122 and 522.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 48787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63.8 + -66. Let m = -2 - f. Put m, 1\/3, 0.4 in descending order.\nAnswer: 0.4, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**5\/60 + 13*g**4\/3 + g**2 - g. Factor o(p).\nAnswer: -p*(p - 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14729 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000625668 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6088 + -6088.03691. What is x rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2294*m**3 + 2*m**2 + 1046*m.\nAnswer: -13764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 20*u**3 + 8*u. Let l(a) be the first derivative of -7*a**4\/4 - 3*a**2\/2 - 8. Determine 3*j(x) + 8*l(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from uiai.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 + 2.4. Let t = 4 - 7.5. Let p = -0.5 - t. Sort p, 0.3, n.\nAnswer: 0.3, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-10)*4 - (-1 - 0). Let s(d) = d**2 + 2*d + 1. What is s(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2743517030?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 542 - 547. Sort o, -2, 26, 5 in ascending order.\nAnswer: o, -2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-1664)\/(-120))\/(0 + (-14)\/147)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 0 - 3*u - 5\/3*u**3 + 2*u**2. Is f(-7) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149841491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 40?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46886887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llqwfllwfff. Give prob of picking 1 q and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(3*(-11)\/198). Which is the nearest to 0.1? (a) n (b) 1\/2 (c) 3\/7 (d) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 85\/(-3) + 0 + 8\/24. Let v be (-8)\/x + (-1)\/(28\/120). Which is smaller: 4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 57084, -24 in increasing order.\nAnswer: -54, -24, 57084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11928361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -592, -596, -600, -604?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/1136763 or 0?\nAnswer: 10\/1136763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 - 2*z + 5. Let m(u) be the second derivative of 5*u**4\/3 - u**3 + 7*u**2 + 5*u. Give -6*m(j) + 17*o(j).\nAnswer: -j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14139*r**4 + 166*r**2 + 102*r + 2 wrt r?\nAnswer: 339336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*f, 2*r - 4*f = -5 - 5. Suppose -5 + r = -o. Suppose 2*d - 111 = -o*z - 39, 48 = 2*z + 4*d. What is the least common multiple of z and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224, 4, 3, -1, 2.\nAnswer: -1, 2, 3, 4, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331 minus 0.2?\nAnswer: -1331.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:57 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 433, 435, 437, 439?\n\"Answer: 2*i + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9810 and 93195?\nAnswer: 186390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 5 + (1 - 1). Find the second derivative of 31*i**2 + 85*i**2 - 33*i**2 + 76*i**v - 98*i wrt i.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 1.2, -0.2, 2\/7, 279?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from aauaaaaaaaauaau?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 409, 1472, 3229, 5674, 8801, 12604, 17077?\n\"Answer: -d**3 + 353*d**2 + 11*d + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -66, -82, -110, -150, -202?\n\"Answer: -6*z**2 + 2*z - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 13 - 236)*(-4*q**2 + 0*q + 0*q)*(0 - q**2 + 0).\nAnswer: -984*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52149.44km to micrometers.\nAnswer: 52149440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z + 654 = -100*z + 5986. Solve -3*w = 2*i + 3, 2*w + 2 = 45*i - z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -3956.9\nAnswer: 197.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2. Suppose -4*s + 9 = 2*v - 1, -5*s = 4*v - 32. Suppose -17*j = -v*j - 4. Determine i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20027217*q**5 + 1472*q**2 + 20692 wrt q.\nAnswer: 1201633020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + a**3 + 4 + (3*a**2 - 5*a**2 + 4*a**2)*(-a + 2*a + a) + 0 + 0 - 3*a**3)*(-3 - 3 + 4)*(-2 + 0 + 1).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f + 16 = 0. Suppose -42 = -3*n + 21. Let p = n - 11. Calculate the least common multiple of p and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 6, s: 5, o: 3, n: 1}. Give prob of picking 1 p and 1 r.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:21 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - 2*g**4 + 2*g**4 - 2*g**4 + g**4 + 2*g**4 + (-4*g**3 + 2*g**3 + 0*g**3)*(g + 3*g - g) + (4*g**4 - 6*g**4 + g**4)*(0 - 2 + 1) + 2*g**4 + 0 + 0.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*r + 12*r + 40*r - 33*r.\nAnswer: 73*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1982\/9 + -220. Let d(f) be the first derivative of 2\/3*f**2 + b*f**3 + 3 + 2\/3*f. Find k such that d(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1518993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4*a - 64, -2*y + a = -8 - 20. Suppose -2*w + 45 = -w - 3*g, -4*g = 4*w - 132. What is the greatest common factor of w and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in -0.32, -0.6, -109, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 divided by -28?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-28) + (-450)\/(-21). Let i(s) = s**2 - 16*s - 42. What is the remainder when i(o) is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/52 - 617\/2964. What is the nearest to l in -12, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4524178, -4524175, -4524172, -4524169?\n\"Answer: 3*c - 4524181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 17*a**3 + 36*a**2 - 4*a + 9. Let c(m) = 4*m**3 + 9*m**2 - m + 2. Give -9*c(h) + 2*s(h).\nAnswer: -2*h**3 - 9*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11613\/7136 + -15\/446. What is the common denominator of -49\/5 and g?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37352 (base 9) in base 12?\nAnswer: 12618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 94562 - -3?\nAnswer: 94565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -599*n**2 + 46. Let f(g) = -2*g. Determine f(m(y)).\nAnswer: 1198*y**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n**2 - 681*n + 0 + 387*n + 2 - n**3 + 314*n as f*n**3 + q + v*n + p*n**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 36, -8, 4, 1, 3 in decreasing order.\nAnswer: 36, 4, 3, 1, -8, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 + v**4 - 4*v + 8*v)*(-11 - 5 + 5).\nAnswer: -22*v**4 - 44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-15)*146510340\/124?\nAnswer: 227, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s - 6. What is t(2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(208) + -3 + (0 + sqrt(208))*1 + 4)**2*-3 + -1 + 0.\nAnswer: -5620 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1347 + 8039\/6. What is the common denominator of (244\/(-66))\/((-12)\/(-9)) and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*n - 4*f + 1, -5*n - f - 2 = 0. Let v be ((-4)\/n)\/(2 - 0). Suppose 0 = -v*z + 12 - 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:27 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(60\/(-10))*9\/27.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v)\/v**19 assuming v is positive.\nAnswer: v**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*p - y, 105*p - 108*p - 6 = 3*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68983.\nAnswer: 101, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 + (-295)\/20. Let f = k + 43. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -1174427?\nAnswer: 1174424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 841.000369 + -841. What is x rounded to 5 dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcqgrqgrxqd. Give prob of sequence dg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 79015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(228))\/(sqrt(192)*-1) + (sqrt(38)\/sqrt(2) + 2 - (-1 + sqrt(19) + 5))*6.\nAnswer: -12 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**6\/5 - 4*u**5\/25 + 6. Factor h(m).\nAnswer: -2*m**4*(3*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14167 - -5166?\nAnswer: 21355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1246, -2528, -3810, -5092, -6374?\nAnswer: -7656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.84 + -0.16. Let w = n + 7.8. What is the nearest to -3 in w, -2\/7, 3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 39. Suppose 5*r - 5681 = 5*b - 701, -b = -f*r + 2996. What is r rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264742437 divided by -5.\nAnswer: -264742437\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c. Let x(s) be the third derivative of -s**4\/6 + 18*s**2 - 2. Calculate x(u(d)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 72245 - b?\nAnswer: 72239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 = -f. Let z(b) = 2*b**f - 4*b - 1 - 3*b**2 - b + b. Determine z(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*c**2*j**3 + 2*c**2*z**3 - 2295*c**2*z**2 + c*j**3*z**3 + 10*c*j*z**3 - 2*j**3*z**2 - 315*j**2*z - 8*j wrt c?\nAnswer: 82*j**3 + 4*z**3 - 4590*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38619631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30054 + -30?\nAnswer: -30104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-8)\/w)\/w*w*(w**(-1\/5)*w)\/w)\/(w**(1\/4)*w\/w**(-10\/9)) assuming w is positive.\nAnswer: w**(-1901\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 7:35 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4*67\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*v**2 - 106*v**2 - 84*v**2.\nAnswer: -152*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 21644.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a + 3. Let i(y) = -y - 1. Calculate -7*i(n) - 2*m(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hir when three letters picked without replacement from bwxrhwxwbxi?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 5, -3, -1809, 4.\nAnswer: -1809, -3, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0.1. Let c = -90 - -89.57. Let u = 0.13 + c. What is the smallest value in g, u, -0.05?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 - 2*u**2 + u**2)*(0*u - u + 2*u) + 4514 + 182*u**3 - 4514.\nAnswer: 175*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:58 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 29*l - 28. Give q(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 29673*u - 29639*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r**3 - 3*r**2 - 6*r + 3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let r(c) = -57957*c + 222. Calculate l(r(g)).\nAnswer: -115914*g + 444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16893246*b**5 - b**4 + 418687*b + 66.\nAnswer: 337864920*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15928333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -355c9c5?\nAnswer: 355c9c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-9 - -11) + (2 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9409 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659.\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Suppose -7 - x = -3*b. Let o(t) = -b*t + t + 2*t**2 + 2*t. Let l(a) = -a. Determine o(l(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12598 divided by -6\nAnswer: 6299\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790930 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-468)\/(-429))\/(8\/(-44))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3858793\/36 bigger than -107188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 - -0.5. Let d = -3.3 + g. Which is the second smallest value? (a) d (b) -2\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*15\/(-125)*10\/27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zczccczzczzc. What is prob of sequence czzz?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -4*v + 43. Suppose u - 4*u - 5*l = -26, -4*u - 2*l = -v. Suppose 0 = -4*c + 5*r + 138, 2*c + 3*r - u*r - 66 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 0, 0 = -3*q + 19*l - 24*l - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 11:04 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7))**(-4\/15)*i\/(i\/i**(-2\/11))*i\/(i\/i**(-6))*(i**(-1\/2))**(-1\/13)\/(i**(2\/5))**(1\/23) assuming i is positive.\nAnswer: i**(-4202543\/690690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2414\/8520 - (-2)\/40)*(-432)\/8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2523 + 5*q**2 - 1234 - 1281.\nAnswer: 5*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 + 0 + (-22 - -22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 122 + 447 + 358)*(u**4 + 0*u**4 - 3*u**4).\nAnswer: -1560*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2 + 2. Let j(b) = -1 - 4 + 60*b - 9189*b**3 - 58*b + 4 + 9222*b**3. Determine j(w).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - 5*a + 1. Let j(c) = -c**2 - 2*c. Let u(o) = 7*j(o) - 4*m(o). Calculate the remainder when u(4) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8347556*l**3 - 12*l + 2131 wrt l?\nAnswer: -50085336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -592923\/56 - -10589. What is the common denominator of -89\/18 and u?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 7*j**2 - 28 - 2*j + 1\/2*j**3 = 0.\nAnswer: -14, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9 - 1 = 0. Suppose -3*m = -z*m + 7. What is the least common multiple of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -133, -5, 1 in ascending order.\nAnswer: -133, -5, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/6)\/((-2)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 12*o**2 - 15*o - 15. Calculate the remainder when a(-6) is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -20*b**2 + 100*b - 101. What is u(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -112, -155, -198?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 22. Let h be x(6). Sort -3, h, 0.3, 0 in increasing order.\nAnswer: -3, 0, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1183\/3 in 1, 0, -0.2, -149?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + sqrt(147) + (sqrt(147) - sqrt(147)*-2)*2)\/sqrt(3))\/(sqrt(84)\/(sqrt(12)*2)*2).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 389*h**6\/30 + h**5\/60 + 345*h**4\/4 - 3890*h**2 + 2*h. Find the second derivative of v(k) wrt k.\nAnswer: 9336*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 - r**4 + 4*r**4 + (3*r**2 - 2*r**2 - 2*r**2)*(-3*r**2 - r**2 + 5*r**2) + 19*r**4 - 5*r**4 + 15*r**4.\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1889 and 139712329?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 5*x**2 - x - 7. Let b be q(-5). Is 5 a factor of -1*b*(3 - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 16*f = 1590. Suppose 247 = -317*v + f*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(5\/3)\/v)*v)**17*((v\/v**(2\/3))\/v)**(-2\/19) assuming v is positive.\nAnswer: v**(432\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -20245*t**3 + 9*t**2 + 9*t - 9. Let b(p) = -5063*p**3 + 2*p**2 + 2*p - 2. What is -9*b(v) + 2*r(v)?\nAnswer: 5077*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8060045 - 1.046016. Let o = -0.24 - p. Round o to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*q**4 + 12*q**4 - 4 + 10 + (-10*q**2 + q**2 - 4*q**2)*(-q**2 + 4*q**2 + 0*q**2).\nAnswer: -37*q**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.9\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-23)\/23 - (157 - 0)). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/((2\/8)\/((-445)\/(-5340))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from jojojoojojjjj.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262347.6 days to nanoseconds.\nAnswer: 22666832640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -6.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5486*n**3 - 4*n**2 + 4*n**2 + 54*n - 54*n - 5487*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 3:58 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 14*u + 14. Suppose -2*t + 20 = -4*c, 0 = t - 3*c - u - 0. Suppose 1\/7*f**t - 1\/7*f**4 + 1\/7*f**3 - 1\/7*f + 0 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v = 56*v + 18. Let q(n) = n**3 + 8*n**2 - 10*n - 6. Give q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49030434.\nAnswer: 2, 3, 23, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65da + -75?\nAnswer: -6671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3*s - 206901*n**3 + 2*n**2*s - 266834*n*s - 3*n + 2*s with respect to s.\nAnswer: n**3 + 2*n**2 - 266834*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 + 3 + 7) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-3 - 1 - (-15 - -9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(4 - 3 - 3)*(275 - 529 + 269 - 7*q).\nAnswer: -28*q + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -1.23?\nAnswer: -18.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553993317.\nAnswer: 3, 19, 883, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*l**2*y + l*y + 86*y + 7 wrt l.\nAnswer: -186*l*y + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, y: 3, h: 6, p: 3}. Give prob of picking 2 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1007 and 5?\nAnswer: -5035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 5*k**2 + 3*k. Let n be w(-3). Let a(p) = p**2 + p + 6. Let b be a(n). Suppose -3*d - 2*l + b = l, 0 = -2*d + 4*l + 46. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44309568*l**2 + 4139612*l - 6?\nAnswer: -88619136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 578 by 8.\nAnswer: 289\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093311763.\nAnswer: 2093311763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/146916 and -49\/136.\nAnswer: 4995144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p + 624. Does 13 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*t - 49, -5*t + 2*n = -3*n + 50. Let s = -5 - t. Suppose v + 4 = 0, s*p - 3*p = 2*v + 15. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -194.013485.\nAnswer: 193.913485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*u - 63, 23 - 8 = -5*g. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1504*d**2 + 6405 with respect to d.\nAnswer: 3008*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2143 is divided by 1068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-300))\/((-4)\/676) + 14?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 16. What is h(-8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-3\/5))\/z)\/((z**(-7)*z)\/z)*((z\/z**1)\/z)**38)\/((z*z**(-1)*z\/z**(-2\/15))\/((z\/z**(-2\/13))\/z**(-4\/11))) assuming z is positive.\nAnswer: z**(-64384\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1073*k + 15. Let m(u) = -358*u + 5. Let p(y) = -6*b(y) + 17*m(y). Is p(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -383, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224*k**3*m - k**3 + 32*k**2*m - 2*k**2 - 5*k*m + 2*k + 45*m + 60 wrt k?\nAnswer: -1344*k*m - 6*k + 64*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from rrxgrgrvrprgrfrrfv.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13950 and 8850?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2643*216\/(-10) + (-2)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -2) + 4 + (-17 - (7 - 19)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5 + 2005*w**4 - 106214*w**3 + 1539802*w**2 - 6067787*w - 7715807 = 0.\nAnswer: -2057, -1, 11, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1182, -1199, -1226, -1263, -1310?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -26 + 46. Let k(v) = -v**3 - 3*v**2 + 9*v - 8. Let z be k(l). Let r(f) = -9*f + 3. Let p(m) = -5*m + 1. What is z*r(h) + 5*p(h)?\nAnswer: 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2 - -5 - (13 - 1032\/192)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214.763292 milliseconds to days.\nAnswer: 0.00000248568625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1183 + 1178. Let n be k\/(-3) + (-39)\/(-117). Factor 0*a**3 - 1\/5*a**4 + 0*a + 1\/5*a**n + 0.\nAnswer: -a**2*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -64\/534071?\nAnswer: -64\/534071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 3*p + 4. Let h be q(-3). Let m be ((-3)\/h)\/(9\/(-8)). Which is the third smallest value? (a) -4\/3 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100010111000 (base 2) to base 3\nAnswer: -10001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 16*d**2 - 1635*d\/2 + 6975.\nAnswer: (d - 15)**2*(d + 62)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 93*w - 1223. Determine s(-17).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2190204900944 + 0.3.\nAnswer: -2190204900943.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -0.08 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/752855 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (13 - 5)\/(-8) - -1*702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -26 + 37 + 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6) + (12 - 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3\/7 + 122666*p**2\/7 - 8102490*p\/7 + 133727022\/7 = 0.\nAnswer: -61399, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/56)\/((-11)\/22))\/((-156)\/48)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -103*i**2 + 20*i - 14. What is y(5)?\nAnswer: -2489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 3\/2, 0, -2\/7, -24, -5 in descending order.\nAnswer: 3\/2, 0, -0.01, -2\/7, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (85\/(-20) - 2)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88438481+-13\nAnswer: -88438494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/186 and -59\/155?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069542 to three dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s - 5. Let u be l(-4). Let c = u - -44. Let t(j) = -c*j + 3*j**2 + 19*j. Let v(z) = -z. What is v(t(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 90. Let h be (-92)\/((4\/12)\/(x\/3)). Suppose 0*r = 4*z - r - 95, 2*r = -3*z + 63. What is the highest common factor of z and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 10*o + 7. Suppose 4*c + 8 = 0, 10*c + 32 = -3*t + 12*c. Give w(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u - 3*u + 3*u - u as m + y*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540513 is divided by 9507.\nAnswer: 8121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3864 - (3 + -3) - 4. Round b to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -dfa227 (base 16) in base 7?\nAnswer: -235400656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*d = -64*d - 2. Solve -7*t + 2*v = -10*t - d, 0 = -5*t + 5*v - 35 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 1. Let z(o) = -o**2 - 2. Let l(w) = 5*x(w) + 4*z(w). Calculate l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41 and (8\/20)\/(8\/94)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 3*t**2 - 5*t + 1. Suppose 0 = 4*w - 0 - 16. Calculate i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1509337\/7 - -215621. Solve -a*n**2 - 12\/7*n - 2\/7*n**3 + 0 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 72*w.\nAnswer: w*(w - 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3\/7 - 125872*k**2\/7 - 1258570*k\/7 - 3146300\/7 = 0.\nAnswer: -62926, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009089012?\nAnswer: 2, 3, 19, 37, 119617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/46134 and -37\/4194?\nAnswer: 46134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 375 and 33?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 + -26. Suppose 1095 = -5*b - w. Let t = 491 + b. Calculate the greatest common divisor of 29 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (14 - 1 - (-8 - (-9 + -1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/12 - 7*f**3\/6 + 2*f**2 + 3*f. Calculate x(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16518?\nAnswer: 2, 3, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197 divided by 200920.\nAnswer: 197\/200920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from ffdfffxfffffffffffff.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -10. Let h(n) be the third derivative of n**6\/24 + n**5\/60 - n**3\/6 + n**2. Is h(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172777 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -23.41039?\nAnswer: -46.82078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 748791, 748790, 748789, 748788, 748787?\n\"Answer: -h + 748792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 246*u**3 - 16*u**2 - 24*u - 224. Let d(a) = 49*a**3 - 3*a**2 - 5*a - 41. Let r(m) = -11*d(m) + 2*s(m). What is the second derivative of r(t) wrt t?\nAnswer: -282*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 38252 + 38304 = -5*m, 4*g = -4*m - 40 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24092, -24098, -24104, -24110, -24116?\nAnswer: -24122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284673098 to the power of 1\/2, to the nearest integer?\nAnswer: 35842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 39*u - 16. Let x be g(-20). Let d(s) = 2*s**3 - 4*s**2 + 4*s - 5. Let w be d(x). Calculate the greatest common divisor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56278, 1, 70, 0 in increasing order.\nAnswer: 0, 1, 70, 56278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23021001 (base 5) to base 3.\nAnswer: 101101112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-70 - -6 - -5 - (6 + 7))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*w**5 - 203590*w**3 - 4793263*w**2 - 2 wrt w.\nAnswer: -1440*w**2 - 1221540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43441745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - n)*(-1 - 2*n + 1) + 23*n**2 - 39*n**2 - 41*n**2 + (3*n - n + 2*n)*(-2*n - 3*n + 4*n).\nAnswer: -59*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-6)*12\/435. Let g = h + -71\/696. What is the second biggest value in -5, g, 4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**5 - 60*d**4 + 344*d**3 - 936*d**2 + 1188*d - 540.\nAnswer: 4*(d - 5)*(d - 3)**3*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*1*(9 - 14). Is 6*148*5\/d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**1\/u))**(-49)\/((u**(-2\/5)*u)\/u)**(-38\/3) assuming u is positive.\nAnswer: u**(-1546\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - g + 1. Let b = -23 + 24. Calculate x(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 18. Let i be g(0). Let l be (-2 - -25)\/((-3)\/12*2). Let f = i - l. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbubbubbfuubuub. What is prob of sequence bfb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5 - 1212*g**4 + 21022*g**3 - 99552*g**2 + 79744*g = 0?\nAnswer: -623, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 10. Let p = i - -3. Let v be 2\/6*9\/(-6). Put v, p, 5 in increasing order.\nAnswer: p, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287886 is divided by 2040.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 3042 (c) -0.13 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 8959723631.\nAnswer: 8959723633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*o*p*w - 32*o*w + o + p*w + 108*p wrt o.\nAnswer: -5*p*w - 32*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let k(g) = -33693238*g. Determine z(k(i)).\nAnswer: -33693238*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26656 and 32970?\nAnswer: 62774880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 715, 2053, 4025, 6625, 9847?\nAnswer: 13685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 357 + -353.98. Let g = w - 3.42. Which is the biggest value? (a) 142 (b) 2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/93985 and -44\/657895.\nAnswer: 657895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 3)*(-1 + 3*d**3 + 1) - 3*d**3 + 3*d**3 - d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 3. Determine t(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - t - 766 = -55*h - 0*t, -3*h + 6*t + 0*t + 38 = 7*t for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*n - 52, 459*n + 3*d + 24 = 462*n. Let r(q) be the first derivative of -q**2\/2 + 11*q + 6. What is r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/18)\/(((-30)\/12)\/5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 7:34 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -230236.3 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*a = 249*a + 338*a + 230*a - 27930 for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74456232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n**(-1\/12))\/((n*(n**(-3)*n)\/n)\/(n*(n*n\/(n**(-5)\/n))\/n*n)) assuming n is positive.\nAnswer: n**(941\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 23 + 14*m + 25*m - 52*m + 67.\nAnswer: -13*m + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -627 + 419. Let h = -193 - m. Let y = -247 + 382. What is the greatest common divisor of h and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8122*g**3*q**2 + 3*g**3*q + g**2*q**2 + 6*g**2 - 19*g*q**2 - q**2 wrt g?\nAnswer: -48732*q**2 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(4 + 0) - 0. Put -15, m, -4 in increasing order.\nAnswer: -15, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6425582143023 and -4?\nAnswer: 6425582143019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3079 + 3004. Sort -4, s, 3, 1\/4, -3\/2.\nAnswer: s, -4, -3\/2, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 7) in base 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 11*m**2 + 2*m + 26. Let s be l(-11). Suppose 3*u + 16 = s. Let d be 50\/(-20)*u\/5. Solve -d*h + 9 = -1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + (165\/12)\/5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 5, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 300*g**2 - 1168*g.\nAnswer: -2*g*(g + 4)*(g + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13248 - -265027\/20. What is the common denominator of ((-2)\/52*1)\/(3\/(-213)) and t?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/177 + 18 + (-17760)\/(-1770)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 26, -5, -58, -139, -254, -409?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/18 and -5\/261?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*q + 41*q - 38*q - q + 2*q - 3*q + (2 + 1 - 1)*(-3*q + 3*q - q).\nAnswer: 100*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 11:02 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 680695822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b7 - -c17?\nAnswer: cce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 408 + -406. Let v be (r + -2 + -1)*-3. Solve -4*k + k = -v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) - 10\/(-3). Suppose -4 = 27*f - 29*f. Find the second derivative of -f*i**4 + x*i**4 + 5*i + 3*i**4 wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 5. Which is the second smallest value? (a) -2 (b) d (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -188*d**2. Let g(j) = 13401*j. Give g(x(h)).\nAnswer: -2519388*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 611.325 - 0.725. Round i to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 28 = -40. Suppose 0 = -5*h - 13 - 12, 4*d - 52 = q*h. Suppose 0 = -3*y - d*y + 1155. What is the remainder when y is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1565263234 - 12?\nAnswer: 1565263222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from iiiiiiiiiiioioiijjji.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8256669, -8256671, -8256673?\nAnswer: -8256675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -36155*y**2. Let t(s) = -3*s**2. Calculate r(t(k)).\nAnswer: -325395*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Let t(z) be the second derivative of 0*z**2 + 1\/6*z**3 - 3*z + 0. Give r(t(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (3 + (3 - (-1 - -3 - -1)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f - 3*f + 0*f)*(-3*f**2 + 3*f**2 - f**2) + 2*f**3 + 0*f + 0*f)*(41*f**2 + 8*f**2 - 14*f**2).\nAnswer: 105*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.4, 5, 67 in decreasing order.\nAnswer: 67, 5, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2275)\/(-50)*((-336)\/588)\/(1\/(-1))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*q + 5. Let n be q\/(-3*(-1)\/2). Sort n, -4, -1 in descending order.\nAnswer: -1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -578 divided by -4398?\nAnswer: 289\/2199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*h - 16 + 40 = 0, 4*y - 5*h - 51 = 0. Solve -y = -14*s + 17*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + (-22)\/55*10*-1. Calculate the greatest common divisor of 43290 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3.6. Let l = -176 + 1234\/7. What is the second smallest value in w, 3, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 34*y - 496 + 1792. Calculate the remainder when 174 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 29*a - 29*a + 6*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -300, -305, -308, -309, -308, -305?\n\"Answer: x**2 - 8*x - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 23 = -l, -i - 5*l = 3*i - 1. Suppose 5*x = 2*p - 6, 0*x - 12 = -4*p + i*x. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2, 6, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - -1.3. Let z = g - 3. What is the closest to -0.2 in 3, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*h*i**2*o*y - 554*h*i**2 + 8200207*h*i - 208*i**2*o*y - 2*i*o*y - 4*y wrt i?\nAnswer: 186*h*o*y - 1108*h - 416*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 19611, -39, 6 in decreasing order.\nAnswer: 19611, 6, -4, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z*(z\/z**(-6))\/z*z*z)*z*z**(7\/3)*z\/z**17*z*z**16)**(8\/15) assuming z is positive.\nAnswer: z**(-136\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 - -38. Let d = -218 + y. Let h = d - -69. Solve 0 = -u - h + 2, -8 = -z - 4*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136665 divided by 2315?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571113 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9246378677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 34\/5 of a meter?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*t**2 + 32*t**4 - 39*t**2 - 29*t**4 + 34*t**5 + (-t**5 + 7*t**5 - t**5)*(-2 + 0 + 0).\nAnswer: 24*t**5 + 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -54. Solve 10 + 31*j**w - 30*j - 5 + 14*j**2 = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/24)\/((-2)\/32)*(-3756)\/5008.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -1.6. Let l = 117\/4 + -29. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let o(q) = -748*q**2. What is j(o(w))?\nAnswer: -1496*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 0. Suppose p = -4*g + 73 - b, 5*g - 121 = -2*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24240 (base 5) in base 13?\nAnswer: -aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10) + 19 + -19)*(142 + -107)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, s: 3, l: 1, d: 3, p: 1, z: 5}. What is prob of sequence ldp?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 669038*i. Let t(m) = 87*m**2. Calculate o(t(k)).\nAnswer: 58206306*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07562 rounded to 3 decimal places?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 25 = -21*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/(m*m*m**(2\/7)*m))\/((m*m\/(m**(-5)*m)*m)\/(m\/(m*m\/m**(8\/3)))) assuming m is positive.\nAnswer: m**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1379840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-91) - 180608\/(-594048).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/60 and -181\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(521\/(-521)*2\/73)?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2173, -10032, -23145, -41524, -65181, -94128?\n\"Answer: -2*a**3 - 2615*a**2 + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2572 is divided by 71?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 47675758*q - 568244475218641.\nAnswer: -(q - 23837879)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c + 10. Let x be p(1). Let n(f) = 71*f**2 + 70*f**x + 2 - 136*f**2. Let w(z) = 14*z**2 + 5. Determine 17*n(r) - 6*w(r).\nAnswer: r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (826\/84 - (-98)\/84) + -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 36 + 405\/(-60) + 1\/(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -607, -1211, -1815, -2419, -3023?\nAnswer: -3627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -263.\nAnswer: 2\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1503468 seconds in hours?\nAnswer: 0.000041763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/14859310 and -61\/150?\nAnswer: 222889650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430861.\nAnswer: 430861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -4. Suppose 0 = -3*w + 3*r - 33, 4*w - 5*r - 16 = -61. Let g = -15 - w. Which is bigger: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c. Let y(f) = 309*f**2. Determine y(b(t)).\nAnswer: 1236*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2483 is divided by 2479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 46892?\nAnswer: -5\/46892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*o**2 + 50*o**2 - 47*o**2 - 69*o**2 in the form z*o + l + h*o**2 and give h.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - (-38949)\/12) + (-1)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2720 or 77?\nAnswer: -2720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*n - 102*n = 88. Suppose -13 + 5 = -8*u. Let z(g) = g**2 - g. Let s(c) = -c**2 + c. Calculate n*z(i) + u*s(i).\nAnswer: 3*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 79.7 and -49122.6964.\nAnswer: -49042.9964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(76)*5.\nAnswer: 1 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 824882?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310032323332 + -3?\nAnswer: 310032323323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118382906.\nAnswer: 2, 37, 43237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 1 - 2*w**2 + 16*w**2 - 3*w. Is 15 a factor of p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61036783 and 8449?\nAnswer: 427257481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1020*n*p**4 + 309872*n*p + 873706133*n wrt p.\nAnswer: 4080*n*p**3 + 309872*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(28))*-2)**2 - sqrt(2268)*2) + ((sqrt(168)\/sqrt(3) + sqrt(56))\/sqrt(8) - (1 + sqrt(7) + -4))*-5)*-1.\nAnswer: -101 + 57*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*p = 236, -3*z + 3*p = -7*z - 231. Let t be ((-4)\/(-6))\/(1\/(-57)). Let u = t - z. Solve 3*d = -5*f + 10, -4*f + 0*d = 4*d - u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x - 2*a - 19, 12 = -3*a. Factor -5*y**2 - 12*y - x*y + 30 + 28*y.\nAnswer: -5*(y - 3)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + n - n)*(-1 - 3 + 3) + (5*n + 0*n - 3*n)*((-2 + 1 - 1)*(4 + 1 - 4) + 4515 + 4284 - 760)*(5 - 2 - 2) to the form w + f*n and give f.\nAnswer: 16077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22000 (base 3) to base 16.\nAnswer: -d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3626207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/(h\/((h\/(h\/((h\/((h*h\/(h**4*h)*h*h)\/h)*h)\/h)))\/h))*(h**(-2\/5))**(2\/63))\/(h**(-1)*h**2)**(-2\/33) assuming h is positive.\nAnswer: h**(-3299\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 524414 and 14184.\nAnswer: 18878904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 - -292. Suppose -t = -28*m + 102. Solve -j = 2*j + 3*f - 30, -5*j + 4*f + m = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 15 = -2*g, 8*g - 15 = 5*g + 2*d. What is the second derivative of 8*a**3 + 20*a**3 - a - 41 + 11*a**3 - 11*a**g wrt a?\nAnswer: 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7104766 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 4*c - 25. What is the smallest common multiple of d(9) and 375?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.7 + -8.7. Let u = -3 - -2. Which is the biggest value? (a) u (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(5*sqrt(9)) + -4 + sqrt(19) + 5)**2.\nAnswer: 12*sqrt(19)\/5 + 709\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((45\/(-60))\/(27\/24))\/(70\/315))\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/((-6)\/(-8)). Suppose -j - 2*g = -x, -3*j + 3*g - 6*g + 21 = 0. Calculate the remainder when -4 + 0 - -3 - -2*17 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (1 + 16 - -6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1877, -1884, -1893, -1904, -1917, -1932, -1949?\n\"Answer: -c**2 - 4*c - 1872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 15*o**2. Let n(q) = 9*q + 3. Calculate x(n(d)).\nAnswer: 1215*d**2 + 810*d + 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1518)\/24794)\/((-90)\/(-70))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 6 = 22. Suppose g*w = 11*w - 35. Calculate the greatest common divisor of w and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d**5\/3 + 18*d**4 - 5*d**3\/3 - 70*d**2 + 148*d\/3 - 8 = 0 for d.\nAnswer: -2, 1\/4, 1\/2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431635 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 86 + 30 + 29 + 27.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -11 + -1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2231132 (base 5) to base 6.\nAnswer: 503022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2821*w - 876*w - 269 + 3366*w**2 + 269 wrt w?\nAnswer: 6732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 5) to base 8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4414*c*l**3 - 256*c*l - 24*l**3 + 28*l - 3 wrt l.\nAnswer: 26484*c*l - 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b - 30. Let j be k(-9). Let i = j + -35. Suppose 0 = i*m - 26*m + 41. What are the prime factors of m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -67, -94, -103, -88, -43, 38, 161, 332?\n\"Answer: h**3 + 3*h**2 - 43*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3780 (base 11) in base 6?\nAnswer: 34452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 9*c**2 - 9*c - 4. Let k(w) = 5*w + 1. Let s be k(4). Suppose -3*f + s + 9 = 0. Is q(f) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -49\/2. Let z = -518 - -518.2. Let p = -0.34 + 0.14. Which is the nearest to p? (a) 2\/3 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**5\/20 - n**4\/6 - 5*n**3\/6 - 11*n**2\/2 + 19*n. Let d be t(5). Let v = -19 - d. Round v to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243546013 is divided by 335.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + -3 - (20 - 39 - -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 228 - (-4)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 114.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1309\/(-66))\/(-7)*6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684932339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 83*o**2 + 1368*o + 274. Give a(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) + (-27000)\/(-28). Let f = 17363\/18 - a. What is the common denominator of 119\/6 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 9*h**2 + 17*h + 12. Let l be w(-7). Let j be (-1)\/(-3) - (l - 390\/(-36)). Which is the second biggest value? (a) -4 (b) -7\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10484, -10492, -10488, -10472, -10444, -10404?\nAnswer: -10352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 24. Let w be 32\/18 + c\/(-72). Solve -2*k = -2*r + 10, w*k + 2*r - 2 = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 10. Let z = h + 7. Let v = z + 2.8. Do 0.2 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 34.8, -1\/2, -1\/4, 0.01, 0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -593?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/105 and -44\/9.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 26) + (10 - (-3 - 33)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)\/w)**(-26) assuming w is positive.\nAnswer: w**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22043592 is divided by 1387.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 195264607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5 = -5*a + 1, 38930 = t + 2*a + 38940 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 11*l + 348. Let r be s(-32). Let y = 0.01 + 0.39. Which is the third biggest value? (a) -2\/7 (b) 4 (c) r (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -40450804 in descending order.\nAnswer: 0, -1, -40450804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006113829886 to 7 decimal places.\nAnswer: 0.0006114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -1\/15*z**5 + 0*z - 6*z**2 + 1\/20*z**6 + 0*z**3 + 0*z**4 + 0. What is the third derivative of a(j) wrt j?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 6*a**2 + a + 8. Let d be p(-6). Suppose 34 = o - c, -72 = -3*o - d*c + 10. Calculate the remainder when o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*i = 62 - 461 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -113. Let m = 48 + -13. Let b = t - m. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2220, 2278, 2340, 2406, 2476, 2550?\n\"Answer: 2*d**2 + 52*d + 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13525 + 8277 = -1813*o - 39995 - 52277 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 22)*(-l**2 - l**2 + 4*l**2) - 4*l**2 - 3*l**2 + 0*l**2.\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:07 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 + 1110?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c - 10 = 0. Let f(h) = h**3 + 6*h**2 + 2*h + 5. Let d be f(c). Solve 2*o = -2*o + d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3}. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 + 33*h**2 - 79*h - 146. Calculate d(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + -0.12. Let c = 0.1 - x. Let l = 51.5 - 51.5. What is the nearest to l in c, 0.3, 1.8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.513 from -6.\nAnswer: -6.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5092, -5094, -5096, -5098, -5100?\nAnswer: -5102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 1.06. Let f = 0.996 + w. What is f rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(252) + (sqrt(252) - sqrt(252)*1) + -1) + -2 - (4*sqrt(6776) + sqrt(6776))\/(sqrt(8) + -4*sqrt(72)))**2.\nAnswer: -66*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. Suppose -b*s - 3*p + 71 = 15, -52 = -5*s - p. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*h - 115 = 391*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*x = -103*x + 1535 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 12:55 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -190? (a) -0.2 (b) -0.3 (c) -3\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/7 + 55\/(-18))*-4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:36 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 0.7426?\nAnswer: 5.7426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24610.65 years to decades.\nAnswer: 2461.065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 703692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 + 2 = 0, -2*u = 4*l + 12. Let f be 60\/(-105) - 6\/(-7). Which is the third smallest value? (a) -0.5 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (24 - 18)) + 23 - 25?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:25 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 147129316?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.097376 * -1.49.\nAnswer: -0.14509024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 7*z + 147. List the prime factors of h(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 130911*f + 62146080.\nAnswer: 3*(f - 43157)*(f - 480)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -17*i + 49 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:56 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u + 2*u)*(0 - 1 - 4)*(-1 + 1 + 2).\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155335978 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 391526?\nAnswer: 391526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 765426 and 3862322.\nAnswer: 336022014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3788 + -42?\nAnswer: -3830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 4)*(-1 + (-24)\/(-4)). Let j(r) = -8*r + 44. Let x be j(m). Let i = -9793\/9 - -1091. Which is smaller: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 + 268 = -8*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 3*p - 2*i + 19, -3*p + 24 = 3*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, -0.3, 30 in descending order.\nAnswer: 30, 2, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1471*g - 323*g - 21800 = 16084 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n + 5568. Suppose 4*f - 792 = -g, 4*f + n = 4*g - 1232. List the prime factors of g.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * 33.3.\nAnswer: -3.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2007*g**2 + 2*g**3 - g**3 - 2007*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from {y: 1, h: 1, e: 1, v: 4, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(-h - h + 4*h) - 3*h - 2*h + h - 4*h + 0*h + 3*h - h + 0*h - h to i*h + f and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*q - 16 - 1 = 0, -3*a - 3*q = 15. Let z(t) = -t + 1. Let c(n) = -7*n - 3. Let p(g) = a*c(g) - 4*z(g). List the prime factors of p(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f**3\/2 - 357*f**2 - 1248*f - 1280 = 0.\nAnswer: -10, -16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*(5\/(-21))\/(15\/(-525))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + m. Let l be v(0). Suppose -2*h - 46 = 5*k - 118, l = -3*k + h + 52. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*o + 434*o - 2 = -24*m, -42 = m - 21*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 9*w - 7. Let p(q) = q + 1. Let b(z) = -4*p(z) + s(z). Let u be b(-11). Let r = 74 - 63. What is the greatest common divisor of u and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3162*v - 123330. Calculate b(-39).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*d + 16 - 16*d - 22*d - 7*d with respect to d.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/(2\/(-56)*6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1716 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21925\/(-591975) - 160\/54?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 95*x**2 + 99*x + 63. What is s(-96)?\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-166)\/(-18) - 4\/18. Let c(z) = 17*z**2 - 12*z - 16. Let r(h) = 4*h**2 - 3*h - 4. Let s(o) = d*r(o) - 2*c(o). What are the prime factors of s(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -694*(-4)\/8. Suppose -4*j = -130 - s. Suppose 5*w - 7*x = -2*x + j, -5*w - x = -102. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -236*j**2 + 254*j**2 + 1 - 1. Let l(p) be the second derivative of p**3\/3 + 7*p. What is l(t(r))?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a century?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 93?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 - 5\/4*r - r**3 - 11\/4*r**2.\nAnswer: -(r + 1)*(r + 2)*(4*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -8*g + 3\/2*g**4 - 22\/3*g**3 + 12*g**2 - 27. Suppose u(j) = 0. Calculate j.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + 103. Let c = p - 140. Let a(f) = f**3 - 3*f**2 - f + 3. What is a(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 22 = -4*q, -5*l - 18 = -8. Suppose 0*r + q = 5*r, -337 = -5*d + 3*r. What is the remainder when 541 is divided by d?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 14*q - 29. What is u(12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i. Let u(f) = -142*f**2 + 4. Calculate u(t(o)).\nAnswer: -1278*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11742*n + 399. Let k(t) = 59*t + 2. Let c(d) = -1197*k(d) + 6*s(d). Let b(f) = -f. What is c(b(z))?\nAnswer: 171*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*y + 221, -4*x + 717 = -3*y - 243. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.494*-4\nAnswer: -9.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2707286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 12, 0 = 3449*a - 6899*a + 3446*a + 4*x + x - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174231.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 12:40 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11920 - 11927. Let f(c) = c**2 + 1 - 2 + 5*c + 2. Let t be f(v). Is -0.3 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2392\/(-20) + -6)*-15?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 2*z - 5*z + 2 - 2 + z + (-1 + 1 + 2)*(4 - 2*z - 4) + 1 - 1 - z + 0*z - 5*z - 2*z + (-2*z + z + 2*z)*(1 + 1 + 0) to the form k + t*z and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 1:30 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -724*q - 719*q + 2169*q - 718*q + 32*q**3 + 2*q**4 + 2*q**2 - 4 as k*q**4 + b*q + c + a*q**3 + l*q**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-36)\/20 - 597\/(-15). Suppose -4*f - 177 = -17. Let b = o + f. Solve b = 3*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/12 + m**3\/3 - m**2\/2 + 3*m. Let a be u(-3). Suppose -7 + 1 = -a*f. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 220.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3244*k + 611. Let t be r(-5). What is t rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1968 = i + p, -30*p - 7868 = -4*i - 35*p. Is 58 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4174*q**4 + 3*q**3 - 2*q**2 + 2401812*q?\nAnswer: -50088*q**2 + 18*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 3:44 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 492, 1369, 3018, 5697, 9664?\nAnswer: 15177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1355480, 5422158, 12200016, 21689048, 33889248, 48800610, 66423128?\nAnswer: 86756796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + -4) - (-3034)\/(-410)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397824947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4816 - -7875. What are the prime factors of f?\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*g - 1390, -2*o - g = -503 - 56. Suppose -2*a + o = a. Suppose a = c + c. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580.2*-1269.\nAnswer: -736273.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103372*q**3 - 1131*q - 106226382 with respect to q.\nAnswer: -310116*q**2 - 1131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - w**2 - w - 1. Let j(d) be the third derivative of d**6\/40 + d**5\/10 + d**4\/4 + d**3 - 2*d**2 + 514. Give -j(c) - 6*l(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + (sqrt(132)\/(sqrt(24)\/sqrt(64)))\/(3*6*2*sqrt(11)).\nAnswer: -4 + sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 - 0.3. Let s = -1.5 + 1.7. Which is the closest to r? (a) s (b) -2\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -2. Let c(s) be the third derivative of -s**6\/60 + s**5\/15 + s**4\/8 - s**3\/2 - 14*s**2. Does 26 divide c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.34+2.43\nAnswer: 11.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 136*m**2 + 253*m - 2043. What is f(-134)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2\/3 - 30935*z - 58000\/3.\nAnswer: -(z + 11600)*(8*z + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57433914 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + ((-3)\/3 - 246))*-1. Suppose 13*a = -1 + h. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**3 - 9*w**2 + 5*w - 4. Let z(d) = 16*d**2 - 2 + 0*d + 2*d**3 - 29*d**2 + 3*d + 8*d**2. Suppose 5*o = 7 - 22. Calculate o*s(r) + 5*z(r).\nAnswer: -2*r**3 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -95, 2, -2, 0 in increasing order.\nAnswer: -95, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2126254 and -7\/2.\nAnswer: 2126254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 525373013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/208)\/((65\/78)\/(-5)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76, 108, 130, 136, 120, 76, -2, -120?\n\"Answer: -x**3 + x**2 + 36*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 7. Let h = -46 + 25. Let t = 14 + h. Let q = t - -13. What is l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, m: 9}. What is prob of sequence yyy?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - o = 1 - 16, -28 = -2*u + 4*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*-6*(-19)\/(-6498)*1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82.1 + 82. What is the closest to -1 in -3, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/105*14\/(-56).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5495 - -6260. Is 765 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 11*l - 770. Suppose 0 = -5*f + 5*u + 204 + 131, 0 = 5*f + 5*u - l. Calculate the remainder when f is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(3\/(-4)))\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 76 - (-3 - 2*-1). Let z(r) = r**3 + 19*r**2 - r - 12. Let l be z(-19). Let p = l + w. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/7 (b) 0.1 (c) -2\/13 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o + 3 = 0, -h + 5*o = 3. Let l be 2*(-3)\/h*-4. Suppose -5*j + 48 + l = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 87808980?\nAnswer: 87808983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z - 35. What is the lowest common multiple of z and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3130*t + 850 = 3164*t for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 5*l - 7*l + 3*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65172718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 263314801 take away -2.6?\nAnswer: 263314803.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 22\/(-55)*6098\/(-8)*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11*f - 21*f - 3 + 12*f. What is g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23030800 divided by 535600?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w - 24 = -5*d - 28*w, d - 2*w = 12. Suppose 11*t - 8 = -z + 13*t, -z + t = -d. Let m(y) = -y + 4. Let j be m(3). Solve 5*r - 9 - j = z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1748*c**2*w + 53847*c**2 - 38140*c + 598*w + 3 wrt c?\nAnswer: -3496*w + 107694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2034 and 3913755.\nAnswer: 23482530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 209\/9 + (-2)\/9. Suppose 2*f + 0 - 9 = u, 3*u = 4*f - o. Suppose -12 - 46 = -f*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1539) - (sqrt(1216) + -3).\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 3*u + 3 = -9*h, 2*h + 1 = u. What is the fourth smallest value in -0.01, 0.4, -0.5, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 453\/2 or 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5911684, -0.9 in decreasing order.\nAnswer: 1, -0.9, -5911684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 115.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 + 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067060383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 918 - 690. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -7. Let f(k) = -k. Let s be f(r). Suppose 0 = -4*l - 5*y + y - 12, s = -2*l - 3*y. Does -5 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + (-90)\/5 - -14. Suppose -5*b = -10, 72*s - 69*s - 1417 = -x*b. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 = 11*c - 37*c. Suppose -404*l - 16 = -412*l. Solve -l*d + 3*i = 11, d - 5*i + c = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212 - 210. Factor -g**3 - 11966 + 11962 - 9*g - 8*g**a + 2*g**2.\nAnswer: -(g + 1)**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a factor of 1839784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + y + 0*y)*(-y + y - 3*y)*(4*y + 3*y - 6*y) in the form q*y**3 + a*y**2 + c*y + h and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let s(k) be the first derivative of 2*k + h + 2*k**2 + 2\/3*k**3. Factor s(u).\nAnswer: 2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3394.635nm?\nAnswer: 0.0003394635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + 2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.8, 0.1, 13, -2\/5 in decreasing order.\nAnswer: 13, 0.1, -2\/5, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6367 - -2.696696. Let f = 0.052 - 0.112. Let o = l + f. What is o rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -609141, -1218239, -1827335, -2436429, -3045521, -3654611?\nAnswer: -4263699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n + 5. Let d be (-6)\/22 - (-2808)\/858. Give q(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*n**4 + 20*a*n**3 + a*n + 15*a + 172*n**4 + 16*n**2 - 29 wrt n.\nAnswer: 24*a*n + 120*a + 4128*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -5*w**5\/12 - 5*w**4\/24 - 122*w**3\/3 - 482*w**2 + w + 1. What is the second derivative of o(x) wrt x?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18767 is divided by 3111?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 - 460\/(-30). Let y(r) = -8*r + 5*r - g*r - 8*r. Let c(i) = 2*i - 2. Let t(v) = -10*v + 11. Let o(m) = 11*c(m) + 2*t(m). Determine y(o(s)).\nAnswer: -52*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 23*d**3 + 2*d**2 + 3. Let y be z(2). What is the highest common divisor of y and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -167*h + 157*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6006\/(-819)*-3*5\/(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7383 - -0.693. Let k = 1.9547 - t. Which is smaller: k or 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(147))*-4*2 + 5 + ((sqrt(147) + sqrt(147) + 5*(sqrt(147) + 0 - sqrt(147)))**2 - sqrt(147)*-1*5).\nAnswer: -21*sqrt(3) + 585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*y - 2708 = 0, 1221 = 2*v + 5*y - 1527. Suppose 0*u + u - 4*t - 428 = 0, -3*u + v = 4*t. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.6197 + -0.0603. Let l = r - 3.02. Let j = -13 - l. Which is the smallest value? (a) -2\/5 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 + -114 + (8 - 4)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**2 - 10. Let g(x) = 17*x**2. Calculate g(h(b)).\nAnswer: 68*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-42)\/20)\/(45\/(-36)). What is the second smallest value in -3, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 349613300248.\nAnswer: 349613300250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 take away 69651.777?\nAnswer: -69651.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n. Suppose t - 11 = 3*u, -2*t = t - 2*u - 12. Let l(a) = -a**2 + 3*a + 3. Let v be l(3). Let s(y) = 18*y**t - v*y + 3*y + 0*y. What is s(g(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -17*l**2 + 15*l**2 - l**3 + 3*l + 10 + 7*l. Let i be t(-4). Factor 0 - 1\/5*w - 1\/5*w**i.\nAnswer: -w*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -100 - (-32 + 17 + -22).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22a (base 11) to base 14\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u - 60 + 27 + 380 - 41 as t*u + b and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 + i + 10. Let d be k(0). Let b(v) = 4*v + 11*v - d*v - v**2. What is b(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 351 - 244 - 6 + 254*p + 435 wrt p?\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*v + 26 = 513*v + 3*c, 4*v - 34 = -2*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, -364.88, 0.01 in ascending order.\nAnswer: -364.88, -5, -1\/2, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -l - 22. Let o(n) = n + 16. Let b be o(l). Suppose 5*v = -b*v. Solve -4*q + 5*q = -f - 3, -q + 2*f - 6 = v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, y: 6, r: 4}. Give prob of picking 4 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5.77265 * 3\nAnswer: 17.31795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103424 - 2204320?\nAnswer: -2100341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 11*q**2 + 13*q + 7. Let y be u(-12). Which is the second biggest value? (a) 0.1 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -127\/29 (b) -4 (c) -2\/15 (d) -11\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4 - 8*y**4 + 3*y**4 - 3*y**5 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-210))\/(1\/(-5)*6).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 5*q**2 + 7*q + 6. Let z = 6 + -6. Suppose z*a = -3*a - 18. Calculate g(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3708530 to the nearest integer?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79127209.\nAnswer: 7, 163, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 36*m - 30. Let h be q(19). Suppose -5*r - r + h = 0. What is the remainder when r is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 + 276. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*3\/(-3) - -1. Let q = 8 + o. Suppose 2*z - 2 = -3*w, -q*z - z - 10 = -w. Solve 0*a = -w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 625 + -1393. Let a = d - -766. What is the third biggest value in -93, 5, a?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b + 28*b = -101*b - 294 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3.359, 0.13, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4 - 4)*(192 + 241 + 202).\nAnswer: -1905*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1939151 and 13.\nAnswer: -1939138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 - 1321*i\/3 + 2570 = 0.\nAnswer: 6, 1285\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 51 - 59. Calculate the remainder when 33 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -35. Suppose -b - 4*u = -61, 0 = -4*u + s - 18. Calculate the greatest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = 2*u. Suppose 3*v - 20 = 4*s, -v - 2*s = 7 - 27. Let h be 6\/v*(-4)\/2. Is u <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from uzzoo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*2\/(-8)*(494\/57 - 10). What is the third smallest value in -5, v, -14, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a - 6 - 1 + 2 + 2*a. Let n(b) = b + 4. Calculate 2*c(g) + 3*n(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 611174772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - 0.1. Let h = -0.5 - -0.8. Which is the nearest to y? (a) h (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 3:12 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = -3*m, r + 4*m - m = -13. Is 0 + -684*r*2\/12 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 - -0.4. Let j = -1 + t. Let r = 3.5 + -3.2. What is the closest to -0.2 in 1, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 + 63*y - 486 = 0. Calculate y.\nAnswer: -27, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 170 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-29 - -4) - 14\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5 - 1 = 2*y - 4, -2*m - 4*y = 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:42 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -398606273*m**4 + 16*m**2 + 10951*m + 22.\nAnswer: -9566550552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*b, -5*b + 0*b - 2*u = -18. Suppose 0*s + 4*q + 26 = b*s, -2*s + q = -11. Let i(p) = 6*p - p - s*p. Let j(k) = k. Determine i(j(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 3*j + 4. Let v be d(4). Calculate the greatest common factor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 1. Let n(d) = 71*d**2 - 726*d - 31*d**2 + 303 + 2361 - 2*d**3 + 28*d**2. Let g(b) = 2*k(b) + n(b). Factor g(a).\nAnswer: -2*(a - 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 7, 4\/7, 21?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 20295 - 20435 - 4*q**3 + 0*q**3 to h*q + j*q**3 + b*q**2 + z and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -290\/70213?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q - 28. Calculate t(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -845*s**2 - 2*s + 2. Let g(q) = 5054*q**2 + 13*q - 13. Calculate -13*b(o) - 2*g(o).\nAnswer: 877*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14786 or 14787?\nAnswer: 14786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - r + 2. Let s be g(2). Suppose 0 = -s*b + 8*b + 140. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-2457)\/(-225) + (-3556)\/(-700)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/3)\/((-12)\/36). Let b(k) = -k**3 + 18*k**2 - 14*k - 9. List the prime factors of b(s).\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 653491 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (11 - 4) + -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/108 and -65\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0a (base 11) in base 5?\nAnswer: -14340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 7*n**2 + 9*n + 15. Let s be f(2). Put -1\/3, 4\/15, s in descending order.\nAnswer: 4\/15, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2116730683386 and -0.4.\nAnswer: -2116730683386.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**4 - 21040791*r**3 + 56333531*r?\nAnswer: -12*r**2 - 126244746*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(2 - 3 + 3 + 5 + 5 + 0 + (0 - 3 + 4)*(-5 + 2 + 1) + 2 + 0 + 0)*(-3*d - 4*d + 5*d).\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -30*q + 14. Is m(-7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * -1471515.\nAnswer: -4267393.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4941 - 2414 = -5*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*d + 9554*d**2 - 513*d - 30553*d**2 - 45809*d**2.\nAnswer: -66808*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66057.\nAnswer: 3, 97, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 6. Let s = -2 + 13. Let y = 11.1 - s. Is t < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = 64*c + 3786 + 3439 for c.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.22, 0.12, 6, 1, -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*s**2 + 43*s**2 - 37*s**2 - 56*s**2.\nAnswer: -201*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2150 - 133?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 33000*r. Let i = -2 - 0. Let c be d(i). What is c rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1520209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.05, -1\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/21 + 66538*g**2\/21 - 38346608*g\/21 + 1857902560\/7 = 0.\nAnswer: 292, 32685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v**(-1\/2))*v)\/v)\/v*v)\/v*v**2*v*v*(v**(-1\/5)*v)**(-1\/4))\/(v*v**(-7)*v**(-5\/6))**43 assuming v is positive.\nAnswer: v**(4457\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 192 = 2*h. Does 53 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/7)\/m)**37\/(m\/m**(-1)*m)**(2\/25))**(1\/60) assuming m is positive.\nAnswer: m**(452\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -6041.68635.\nAnswer: -6041.98635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1200*g**3 - 301*g**3 + 38*g**3.\nAnswer: -1463*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 4 - 2*t**2 - 788*t.\nAnswer: -2*t**2 - 788*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2385 = 3*i, 2*i + 5*b = 317 + 1261. Let g be i\/153 - ((-48)\/27 - -2). Solve -m - g = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 324*u**2 + 48*u - 3. What is the hundreds digit of q(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 7:06 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -174, -314, -492, -708?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.3 or 50.2137?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1171 - 1234 = 97*n + 730 - 225 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hler when four letters picked without replacement from {r: 5, l: 3, o: 4, h: 5, e: 1}.\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212792\/27 or 7882?\nAnswer: 212792\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -119, -163, -191, -197?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 11}. What is prob of sequence uhu?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-360)\/27))\/(((-8)\/20)\/(19\/1140))\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*y - 2*y + 10*y - 29*y + 1 to b*y + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (92 + -91)*(-813)\/(-3). Suppose 0 = 2*u - 1 - 1, 3*s = -5*u + 977. Suppose c = 5*d - s. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 11:52 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2408064 and -107\/10?\nAnswer: 12040320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -304*g + 350. What is v(2)?\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(3*c + 2*c - 4*c)*(1 + 4 - 2).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 277 = 128*v - 58*v - 66*v + 45, 255 = -3*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 6*l = 1170. What is the remainder when l is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 17 - 581*w**2 + 580*w**2 + w. What is s(-6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410 divided by 141?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.191 - -0.591. Which is the smallest value? (a) 9 (b) -1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 - 7 = -5*z, 2*z - 30 = 5*a. Suppose 2*k + 10 = -2*i, -z*i + 2*k = -k + 25. Sort -3, 0, i in increasing order.\nAnswer: i, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75\/4 of a kilogram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 7*s + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119772072 by -4.\nAnswer: -29943018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*n**3 + 5 - 1 - 202*n**3.\nAnswer: 35*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from ttpkkuux.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2404317 is divided by 1185.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13044894 and 11949.\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0375? (a) 22 (b) -1 (c) 2 (d) -5 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/2611 and -4\/198809.\nAnswer: 1391663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -18667*k**5\/20 + k**4\/6 + 5*k**3\/6 - 2*k**2. Let n be j(5). What is n rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4987*d - 37376 = 8435*d + 5266*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)*f)\/f)**(-46)*f**(-4)\/f*f*f\/f**(-5) assuming f is positive.\nAnswer: f**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1\/4, -3\/7, -1.1 in decreasing order.\nAnswer: 3\/2, 1\/4, -3\/7, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**6\/180 - 2*m**5\/225 - m**4\/180 + m**2\/2 - 6*m - 17. Let l(d) be the second derivative of j(d). Factor l(v).\nAnswer: 2*v*(v - 1)*(5*v + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 5*t. Let h be p(-5). Let z be 2\/((-6)\/(-9)) - h. Let m(k) = 4 - z + 0 - 2*k**3. Let v(l) = -l**3 + 1. What is -2*m(j) + 3*v(j)?\nAnswer: j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*d = -22 - 5, 8*n - 71*d = 12*n + 414 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.96 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 914 + 969. Calculate the greatest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -71 - 3. Let b be 6\/(-21) + f\/7. What is the third derivative of 0*i**5 - 5*i**4 + 5*i**4 - 4*i**b - 4*i**2 wrt i?\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -5*g**4\/24 - g**3\/6 - 3*g**2 - 3. Let v(d) = -2*d**2. What is v(x(t))?\nAnswer: -50*t**2 - 20*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -900796570155416 plus -0.3?\nAnswer: -900796570155416.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 23. Let a = -3.84 + 3.8. Suppose 4*w + 4*h - 8 = 0, w + 5*h + 1 = -5. Sort w, a, z in ascending order.\nAnswer: a, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122411899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -43. Let t be q\/(-12) - (-8)\/12. Let k be t\/10*(-2 + (-85)\/(-30)). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003474687452 to five decimal places.\nAnswer: -0.00347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 133*h + 12288. Give u(-93).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 163.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-342)\/(-21)*-14*((-210)\/18)\/35?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - v - 15, 0 = 5*m + v + v + 20. What is the common denominator of 250\/(-15) - -7 - m and 17\/261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 823446 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 25. Let j = -11 + g. Let k = -2\/2677 + 13391\/8031. Which is the second biggest value? (a) 2\/15 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 137 = -4*a, -13*a - 15 = -8*a. Suppose 0 = -2*s - 9 + 95. Let g = -29 + s. What is the remainder when v is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -4*u - 30. Suppose -7361 = -u*m + 159. Suppose k - w - m = 0, k + 0*w + 4*w = 1484. What is k rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/((-1)\/6). Suppose -y*s = -4*s. What is the second derivative of -5*x**2 + 0*x + 7*x**2 + s*x**2 + x wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u = 20*u - 3*x + 22, -5*u + 2*x = 45 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in years?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31\/24 + 173\/120. Let a(b) be the second derivative of -3\/50*b**6 + 2\/5*b**3 + 0 + 7\/30*b**4 - 4\/5*b**2 + 2*b - d*b**5. Let a(y) = 0. What is y?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 + 12*i**3 + 9*i**3 - 72.\nAnswer: 26*i**3 - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2168, -65, 3, -1 in decreasing order.\nAnswer: 2168, 4, 3, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 9597330 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9016.739 - 14.302\nAnswer: 9002.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(76))**2.\nAnswer: -385 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1629 divide 505270188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 384572596*z**4 + 146*z**2 - 2*z + 18829 wrt z?\nAnswer: 9229742304*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 29 + 85 + -131?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -110102022120 (base 3) to base 12\nAnswer: -b9566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 189590000 rounded to the nearest 1000000?\nAnswer: 190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*i + 393 = 0, 0 = 3*t + t + 2*i - 312. List the prime factors of t.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -2 (c) 0.2 (d) 0.036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 13 = 0. Let v(k) = -k + 15. Let b be v(j). Solve 0 = -2*x - 2*x - 2*h + 4, 3*h + 2 = -b*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20543.11mm to centimeters.\nAnswer: 2054.311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2732, -7828, -16316, -28190, -43444, -62072, -84068, -109426?\nAnswer: -138140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-15) - (-44097719956)\/142290. Let y = j - 309914. Let p = 1380253\/284580 + y. Find the common denominator of 95\/14 and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/54*(-57)\/(-532).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**3 - 1373460 + 1373460 - 4*t**2.\nAnswer: -10*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 15*s**3 + 6*s**2 + 2767*s + 2764. Give n(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 519*i**3 - 283*i**2 + 1 wrt i.\nAnswer: 3114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61042 or -61289?\nAnswer: -61289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11975.9 + -11976. Which is greater: 150 or o?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2279\/2 - 1140. Which is the closest to 0.2? (a) n (b) 1 (c) 1.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*i - 11298 = -806*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14263039853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*3\/(-81)*(-27)\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2041578 to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 19.8, -0.1, -4, 3 in descending order.\nAnswer: 19.8, 5, 3, 2, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -24 + 14 + (27 - 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 12*w**4 - 14*w**3 + 4*w - 12. Let z(t) = t**4 - t**2 - t. Let q(k) = -2*n(k) + 20*z(k). Find i such that q(i) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i**2 - 57*i**2 + 152*i**2 - 38*i**2 + 10*i**2.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/65)*a**(-21))\/(a**11)**9 assuming a is positive.\nAnswer: a**(-7798\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*(-180)\/(-72).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 3*((sqrt(2) - sqrt(32)) + sqrt(2))).\nAnswer: -24*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n**3 - 13*n**3 + 12*n**3 + (3*n + n - 5*n)*(15*n**2 - 4*n + 4*n) to the form w*n + x*n**3 + s*n**2 + q and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*n + 541*n - 51168 = -1050*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/15)\/(21064\/(-78990))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + t - 43. Let x be 2\/(-10)*-1*(73 + -73). Determine o(x).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23513 or 1951570\/83?\nAnswer: 23513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4202688040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8578 - -8666. Solve -2*q + 13*q = c for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - -b5?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1202 divided by 30380.\nAnswer: -601\/15190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 2. Let b be 115\/7 - ((-243)\/63)\/(-9). Solve -b = n*t - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3700 - 2084*r + 515*r - 3698.\nAnswer: -1569*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 855 and 665?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 17*t - t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*y - 608 wrt y.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/4 of a millimeter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5 (c) -1 (d) 79\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5855 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*l - 1 + (-3 + 4 - 3)*(0 + 0 - 2*l) + 3*l + l - 3*l - 2*l + 3*l - 3*l + 2*l - 2*l + l + (-3*l - 2*l + 6*l)*(1 - 2 + 0).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -876, -5, 5, -7 in decreasing order.\nAnswer: 5, 0, -5, -7, -876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 877372*t**3 + 7896294*t**2 + 23688828*t + 23688801.\nAnswer: (t + 3)**3*(t + 877363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17666 - -17834. Solve -15*a = 93 - d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31250 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/5 - (2 + 0). Let c = o - 11. What is the units digit of 2\/(-6) - c\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 105*f + 111*f + 472, 5*a - 634 = 8*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:19 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9638 and 5157910.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20096 is divided by 2758?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4, -3*n - 8 = -89*w + 94*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -6, -1\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1334 - 793. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20, -1, -0.05303, 0, -20, -0.4, 0.5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3807*h**5 + 941*h**4 + 16*h**2 + 3508*h + 22.\nAnswer: -228420*h**2 + 22584*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from gqqcfccqqggcq.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + (5 - 20))\/(-3 + 1). Solve 5*y - 19 + t = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2) + -2 - sqrt(2))*-3.\nAnswer: -3*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 108*m - 648.\nAnswer: -4*(m - 18)*(m - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4639 - -8099. What is x rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = -p + 7436. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - -4.5. Let g = -8 + i. Let f = 232\/3 - 78. Put f, 4\/9, g in decreasing order.\nAnswer: 4\/9, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162.842 less than 68687034?\nAnswer: 68687196.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 21*n**3 - n**2 - 9*n + 12. Let v(f) = -21*f**3 + 2*f**2 + 10*f - 12. Let l(d) = 3*v(d) + 4*w(d). What is the units digit of l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, and 1 l when three letters picked without replacement from {p: 1, l: 1, r: 1, k: 1, s: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37256, 38235, 39214?\n\"Answer: 979*i + 36277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**2 + 4*r + 1. Suppose -98*q - 83 + 207 = -268. Determine i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (4 + 33828\/76). Let r = o + 451. What is the nearest to 0.1 in r, -4, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1091321 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -1\/20*n**5 + 2*n + 3\/2*n**2 + 0*n**3 + 0 + 0*n**4. Find the first derivative of d(q) wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -24313291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 403?\nAnswer: -1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -610 - -608. Let n = 0.05 + 0. What is the closest to n in 0, z, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c + 2*a = -66, c = -2*a + 14. What is the remainder when 60 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000252853777 rounded to seven dps?\nAnswer: 0.0000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 4*c + 5. Let b(n) = -25*n**3 - n**2 + n. Let l be b(1). Let y = l - -30. Calculate f(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4181282 - 1.418. Round a to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/18 + 20\/9 + 0. Suppose 1 = 5*m - 4*j - 7, 4 = -g*j. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -371417.21 rounded to the nearest one hundred?\nAnswer: -371400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2. Let s(q) = 67*q**2 + 6. Determine s(b(v)).\nAnswer: 1072*v**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5045*b + 4838*b + 257*b to v + j*b and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 5)*(-v + v - 2*v) + 3 - 3 + 2*v - 3*v + 2*v + 0*v + 6*v + 0*v - v as i + b*v and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 10. Suppose -5*s - 4*f = 3 - g, -21 = -3*s - 3*f. Suppose n + 3*b - 49 = 0, 2*n = -2*n + s*b + 151. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 504*z - 92*z - 775*z**2 + 368*z - 89*z**3 + 84*z**3.\nAnswer: -5*z*(z - 1)*(z + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/42)\/(95\/(-1710)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 4)*(-20 - 6*m + 20 + m + m - 3*m + (1 + 0 + 0)*(-4 - m + 4) - 2*m + 0 + 0 - 3*m - 3*m + 5*m + 16*m + 0*m - m) as i + o*m and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*u - 177, 4*u = -0 + 4. Suppose 5 + 3 = -2*l, 0 = -3*x - 5*l + 22. What is the highest common divisor of i and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.075 + -5.925. What is the second biggest value in -2\/7, 2\/15, f, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + -4 - (55 + -71).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 3*g - 41 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -1 (c) 2 (d) 0.01 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 4)*((-a + 0*a + 2*a)*(-6 + 3 + 1) + 6*a + 2*a + a).\nAnswer: -63*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/10656030 and -17\/27?\nAnswer: 95904270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6352547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-15))\/(12\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2\/3))**(2\/3)*w*w*w**7*w**(-11)\/w)**(-2\/81))**(-2\/5) assuming w is positive.\nAnswer: w**(-68\/3645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -965 - 1.\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(21\/4)*k))**(1\/62)\/(k**(-15)*k\/k**(3\/5)) assuming k is positive.\nAnswer: k**(18189\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4210\/(-8) + (-71)\/(-284). Let w = g - -949. What is the highest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 1. Suppose -q*h + 19*h - 6 = 0. Suppose 0 = -2*x - 4, h*j + 5*x = 4276 + 2161. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - ((10*(2 + -1))\/(-2) - -6). Let o = 4 - 9. Put -0.3, 18, o, x in decreasing order.\nAnswer: 18, x, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 20 - 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -6933, 3, -3, -11 in decreasing order.\nAnswer: 15, 3, -3, -11, -6933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c**5)\/c*c**(-6))**(1\/3) assuming c is positive.\nAnswer: c**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, 1\/13, -448?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j + 56. Let h be u(-14). What are the prime factors of 538*(h - 4\/(-8))?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**3 - 6*d**2 + 3. Is h(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(sqrt(2106)*-2 + sqrt(2106)))\/(sqrt(128)\/sqrt(4) + (sqrt(8) - sqrt(32))).\nAnswer: 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 3*z**4 + 64*z**3\/3 + 2*z - 135. What is the third derivative of a(r) wrt r?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.34 + 5.26. Let b = o - -17.4. Are b and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90214.30118 to the nearest one hundred.\nAnswer: -90200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5 + 2889*b**4 - 5769*b**3 + 2883*b**2.\nAnswer: -3*b**2*(b - 961)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -143. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j. Let a(i) = 567*i**2. Calculate o(a(b)).\nAnswer: 2835*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26881550 + 0.\nAnswer: -26881550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 13 = 3*n, 12 = 5*n - 4*f - 4. Let k(d) = 4*d - 3. Let s(v) = -v + 1. Let x(a) = -3*a - 5. Let i be x(-4). Let u(g) = i*s(g) + 2*k(g). What is u(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5234231 days to seconds.\nAnswer: 45223.75584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487.019 milligrams in micrograms?\nAnswer: 1487019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 17821019.336899.\nAnswer: 17821023.336899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*k**2 - 795*k + 800*k - 10371 + 10378)*(4 + 0 - 6) as d + r*k**2 + s*k and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 350.5 + -341.3. Sort 0.3, -1, k, -1\/5 in ascending order.\nAnswer: -1, -1\/5, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:42 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456487643?\nAnswer: 456487643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 88464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(176\/165)*((-1680)\/18)\/14\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 1147*l**2\/2 + 1458*l - 69. Find the first derivative of m(t) wrt t.\nAnswer: 1147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + n**2 + 5*n**2 + (4*n**2 - 7*n + 7*n)*(-1 + 4 + 2).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*f + 760 = 766, 0 = -4*k - 4*f + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109813933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -14671?\nAnswer: -14670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -19, -31, -47, -67, -91?\n\"Answer: -2*h**2 - 2*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*o - 111 = 63 + 36. Let p(v) be the first derivative of 3\/4*v**4 + 18 + 0*v**o + 0*v - 2*v**3 + 3\/5*v**5. Factor p(g).\nAnswer: 3*g**2*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -5*g**2\/2 - g + 13. Let w(a) be the first derivative of -a**2\/2 + 5. What is -2*r(z) + 9*w(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12*d + 4. Let r be n(1). Suppose -r*y + 10*y = -1266. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84) - sqrt(84)*3) + sqrt(84))*-4 - (4*sqrt(84) + sqrt(84) - sqrt(84))*-3)\/(5*3*sqrt(108)*4).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*c - 100*c - 145 = 0. Let s = c - -27. What is the lowest common multiple of 16 and s?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 8*x**2 - 8*x - 2. Let t be k(-7). Let p = t - -7. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*c + 3. Let n be -12*6\/12*c\/6. Let m = 7 + n. Calculate the greatest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-54)*(14 + 1). Let s(j) be the third derivative of -1\/120*j**6 + 1\/10*j**b - 1\/6*j**3 + 2*j**2 - 1\/4*j**4 + 0 + 0*j. Determine s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 12 = -8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545322 less than or equal to 1545321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 9*t**2 - 9*t - 14. Let g be u(10). Let h be 1 - g - (-1 - -1). Let w = h - -4. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-10) - (-3)\/(-2). Which is the nearest to 0.1? (a) -4 (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**3 - r**2 + r - 1. Suppose f + 12 + 6 = 5*w, 3*w = -f + 14. What is x(f)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -130 and -5611441.\nAnswer: 729487330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 4*r**2 - 2*r + 2. Let o(w) = w - 1. Let j(q) = -4*o(q) - 2*u(q). Solve j(z) = 0 for z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 15) in base 11?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-4)\/(-10) + 108. Let g = z - 78. Calculate the greatest common factor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3723, 11908, 20093, 28278, 36463?\n\"Answer: 8185*z - 4462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-2\/17)*(s\/(s**(3\/5)\/s*s))\/s*s)**19 assuming s is positive.\nAnswer: s**(4066\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17\/408)\/((-5)\/(-2) + -2). Let a(s) be the first derivative of 0*s**2 + 0*s - 2 - w*s**3 - 1\/2*s**6 + 0*s**4 + 13\/20*s**5. Solve a(r) = 0.\nAnswer: -1\/4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3512, -6888, -9988, -12668, -14784, -16192?\n\"Answer: 24*v**3 - 6*v**2 - 3526*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327333861 divided by 17?\nAnswer: 19254933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*(77\/44)\/7. Sort 3, a, -0.13, 1\/4.\nAnswer: a, -0.13, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.0618 + -1.6587. Let k = 535.6 + -535. Let u = k + j. What is u rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 43*b - 399. Let x be a(-30). Let i(g) = 2*g**2 + 14*g - 22. Give i(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 15 = 7. Let o(u) = -6*u + 3. Let x(a) = -17*a + 8. Calculate h*o(l) - 3*x(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 3*h - 6. Calculate v(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -17*o + 6. Let k be x(0). Suppose 0 = 5*l + 7*l - k*l. Solve -y = -t + 1, l = -2*y - t - 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 316511 and 1004.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 227220*z - 227215.\nAnswer: -5*(z + 1)*(z + 45443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((8\/(-2))\/(44\/(-22)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 49, 115, 237, 433, 721?\n\"Answer: 3*c**3 + c**2 + 4*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k - 5. Let r be x(1). Let i be (-71 - 21)*(r + -1). Is i smaller than -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 8*u**2 - 8*u + 3. Let j be w(-9). Let i(m) = -m + 8. Give i(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*a - 2147 = -139 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/4 - 91*y + 1083\/4 = 0. What is y?\nAnswer: 3, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8765\/3 - -2921. Let q = -12 - -9. Sort 3, r, q in ascending order.\nAnswer: q, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c - 20*c = -14*c - 44 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 148 * 130913\nAnswer: 19375124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 8*t**2 + t - 7. Let h(z) = -3*z**2 + z + 3. Let y(k) = -3*h(k) - m(k). Let j(a) = a**3 + 3*a**2 - 9*a - 5. Determine -2*j(g) + 5*y(g).\nAnswer: -2*g**3 - g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 433772 and 8364?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**2 - 86249*x\/5 + 3450 = 0.\nAnswer: -17250, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00061833 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -48*l + 1. Let f(r) = 3629*r - 1. Calculate -f(i) + h(i).\nAnswer: -3677*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 13*f**2 - 30*f + 120. Calculate k(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-48)\/2)\/((-9)\/156)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1311 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - a - 182, -4*f + 2*a = 50 + 104. Let u = f + 39. Find the second derivative of 28*m**u - 61*m - 57*m + 112*m + 5*m**2 wrt m.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139 divided by 56004\nAnswer: -139\/56004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2612322\/29, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -4. Suppose -7*y - 4 = -9*y. What is the greatest common factor of y and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244922?\nAnswer: 2, 151, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 - 0?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4\/5 + 8*a**3 + 234*a**2\/5 + 324*a\/5 = 0.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*j**2*z**2 + 13*j**2 - 85*j*z**4 - 716*z wrt z?\nAnswer: -62*j**2 - 1020*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80752268 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 313 = 37. Let i be 5*4\/50 - (-8)\/n. Solve -6\/7*l - i*l**2 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + 11*j**2 + 7*j - 10. Let q be u(6). Sort 0, 3, q in ascending order.\nAnswer: q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*5)\/(4\/2)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*v + 2, 5*h + 6 = -v + 2*v. Is h not equal to -10\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 92394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*3\/(-2)*(-50)\/75\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1280 - -7823\/6. What is the common denominator of 25\/12 - (-2)\/2 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b9a0 (base 13) to base 15.\nAnswer: -111a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -11*y**2 - 93*y + 5. Let j(o) = 17*o**2 + 139*o - 8. What is -5*j(s) - 8*v(s)?\nAnswer: 3*s**2 + 49*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.933*-9.5.\nAnswer: 56.3635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**2 - 2*s + 1. Let w = -17 + 61. Let c be 36\/w - (-4)\/22. Let u be n(c). Solve 5*g + u = -2*h - 7, -9 = 3*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3803*p*y + 849*p + 1759143*y + 1 wrt p?\nAnswer: -3803*y + 849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 21\/(-14))\/(1\/2). Suppose 8 + 2 = 2*g, -d*g + 1655 = 5*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of -0.81137294 and 5571.\nAnswer: 5570.18862706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065 (base 8) in base 7?\nAnswer: -1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2105819 to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43908851 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*w + 24 = -0*w, -u + 5*w + 9 = 0. Let q be u\/18 + (-224)\/36. Let v be (-5)\/(-3) + (-2)\/q. Solve -3*f - 5*i + 1 = -v*f, i = 5*f + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 792881460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a - 7. What is the units digit of s(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**(-10\/13)*(u**(-3\/4))**29 assuming u is positive.\nAnswer: u**(-3313\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 21 - 145 = 0. Let a = 2 - o. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34772 - -52?\nAnswer: -34720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 4. Suppose 3*m - 2*l - 2*l = 32, 2*m = -5*l - 17. Let s be r(m). Suppose 3*h + s*h = 39. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251, 1115, 2561, 4595, 7223, 10451, 14285, 18731?\nAnswer: 23795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.832873 nanometers in kilometers?\nAnswer: 0.000000000003832873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*z - 210 = -269 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-6 - (-6 - 7)). Suppose 4*o + 3*t - h = 0, -4*o + 12 = -0*o - 3*t. Solve o*f + 7 = -2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vooqqqoooqo. Give prob of picking 1 v and 1 o.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6456113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6654850 to the nearest ten thousand.\nAnswer: 6650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = -r - 5, 2*r = 4*h + 20. Suppose r = 4*q - 8, b - 5*q = 2*b - 7. Let z be (0 + 3)*(-1)\/b. Solve 0 = n - j - 0*j + z, 2*n + 5*j = -16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, -2, 5, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20616, -20602, -20588?\n\"Answer: 14*m - 20630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/5 - (-182)\/70) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-380*r**2 - 32*r**3 + 380*r**2)*(-12*r + 8*r + 7*r) + (3*r**3 + 3*r**3 - 4*r**3)*(r + 3 - 3).\nAnswer: -94*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-40*(17 + 516\/(-30))).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4. Let w be (3 + -2)\/(z\/4). Suppose -w*a + 4 + 20 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49067.58um to meters.\nAnswer: 0.04906758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535699 is divided by 603?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57876850.\nAnswer: 2, 5, 19, 60923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4108?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5 = 5*g, 2*s = -s + 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4614 - -11.0386. Let r = -12.43 - -0.63. Let v = r + p. What is the fourth biggest value in 4, -0.1, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 6 = -5*i + 23, 3*i = 4*l + 22 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*3*3\/(-54).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) -3 (b) 2\/19 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 9302149?\nAnswer: -1\/9302149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, 6, -2 in increasing order.\nAnswer: -10, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 + -186. Let m = n + 89.99528. What is m rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43159 divided by -759?\nAnswer: -43159\/759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/63*1134\/(-630). Is 0.119 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (2 + ((-4 + -2 + sqrt(147) + (sqrt(147) - (sqrt(147) + 1)*5))*-5)**2)*6.\nAnswer: 69300*sqrt(3) + 216612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-12)\/k*k)\/k)\/k**(-2\/77) assuming k is positive.\nAnswer: k**(-999\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pph when three letters picked without replacement from hphhhhhhp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 66*l + 221. Let i be u(0). Let n = -219 + i. Factor 2\/21*b**n + 0 - 2\/21*b.\nAnswer: 2*b*(b - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57 - (-35 - -20) - -86) + -7.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**6\/40 + 7*n**5\/120 - n**3 + 2*n. Let a(m) be the second derivative of v(m). What is the second derivative of a(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-14)\/(-4))\/(-6*(14 + -13)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 5, -4, 2\/45, 1\/4 in increasing order.\nAnswer: -30, -4, 2\/45, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 15*z + 6. Suppose -4*f - 52 = -2*k, -f - 2*k + 5*k = 3. Let p be o(f). Find the third derivative of 4*s**2 - 12*s**2 - p*s**6 - s**6 wrt s.\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478217?\nAnswer: 3, 13, 29, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1158 and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/15)\/(-14 - (-3387832)\/241990) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(2\/(-1*(-16)\/(-1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i + 35*i + 46*i + 51*i + 51*i + 82*i - 297*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.291605ml in litres?\nAnswer: 0.001291605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y. Let n(m) = -5*m. Calculate o(n(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 0, -4*s - 9 = 2*l - 3. Let o(m) = -2*m**3 - 4*m**2 + 2*m + 4. Calculate the remainder when 63 is divided by o(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o - 83. Calculate x(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.83655 take away 1423.075?\nAnswer: -1497.91155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 1.094?\nAnswer: -0.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427780.\nAnswer: 2, 5, 73, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -510 bigger than 18.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 + 11 - 2*-1. Suppose 30*c + 160 = -2*c. Put c, a, -3, -4 in ascending order.\nAnswer: c, -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.973 - 7. Let m = -0.527 - n. Put m, 1.1, -0.1 in increasing order.\nAnswer: m, -0.1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701802571?\nAnswer: 761, 922211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.2 and -26.\nAnswer: -629.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -33*p - 15. Let b be g(-3). Calculate the highest common factor of b and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 0 = -42 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 11:20 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.21*26880.87.\nAnswer: -32525.8527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718*p - 103304 = 2668*p + 842*p for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Suppose -6*o + 3*o = -27. What is the units digit of a(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 124\/930 + (-3806)\/15. Let r = m + 253. Suppose 0 = -4*y + 8, 3*q + 3 - 2 = 2*y. Which is the nearest to -2\/11? (a) 0.4 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -48, -54, -48, -30, 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkwwkwwwkkkk. Give prob of picking 3 k.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -26 - (-11 - (-14 - -2)) - 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 - 34 + 81*p - 43*p + 14 - 38*p + 20.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Suppose 0*t = 2*t + 8, -3*w = -2*t - 17. Solve -w*g + 28 - j = 5*f, 0 = -5*g - f + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 12. Suppose -i*n = 3*m - 15, -3*n = 5*m - 22 - 1. Solve -n - 14 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -115, -93, -57, -7, 57, 135?\n\"Answer: 7*j**2 + j - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1334142 and 18706?\nAnswer: 265494258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)*m)\/m**(-2\/7)*m**(-6)*m\/((m**(-5\/4)*m)\/m) assuming m is positive.\nAnswer: m**(-235\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13)\/u*u**18)\/(u\/u**(-1))**37 assuming u is positive.\nAnswer: u**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000 + -1100011?\nAnswer: -100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 8*d = -882. What is the remainder when d is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3\/2 - 223*l**2\/2 + 16043*l\/2 - 375821\/2 = 0. What is l?\nAnswer: 61, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -18. Let b be (u\/60)\/((-1)\/3). What is the closest to 2\/3 in b, 4\/5, -1\/6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 177\/(-18) - 2 - -3 and -1\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22141260.\nAnswer: 2, 3, 5, 123007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 363*s**2. Let d(v) = -374*v**2 - 2*v + 1. Calculate d(f(u)).\nAnswer: -49281606*u**4 - 726*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.63692 kilometers to meters.\nAnswer: 92636.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3345.4189 to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.07617513 times 2\nAnswer: -0.15235026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from aqav?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*p = -26, 4*p - 2 = 3*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -1. Suppose 0 = -0*c - 8*c - 3768. Let q = c - -485. Calculate the lowest common multiple of r and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41\/116 - -3\/29. What is the closest to w in 10, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -807 + 1038. Calculate the remainder when j is divided by 670\/50 - (-2)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*j**2 - 10*j + 6*j - 10*j**2 + 9*j as h*j**2 + d + b*j and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*k + 285 = -0*g, 0 = -4*g - 2*k + 234. Is g a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 1, -2, 8, 0, -1, 3 in decreasing order.\nAnswer: 8, 3, 1, 0, -1, -2, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/2 of a centimeter in micrometers?\nAnswer: 65000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 85714813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -900 - -1899. Suppose 745 = -4*q + 4*c - s, 0 = 4*c - 12. Let k = q + 2316. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/7 + (-4)\/(-14). Suppose x + 2 = -2*m, 0*x + x = f*m + 5. Let y be 12\/176 - m\/(-4). Which is the biggest value? (a) -3\/5 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(6)*2)\/(sqrt(32)*4) + -5)*-3.\nAnswer: 3*sqrt(3)\/4 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -189385 (base 12) to base 6.\nAnswer: -13122245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 24*t**3 + t**2. What is q(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 724640 = 238840. What is s rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -6?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001063992 rounded to 7 decimal places?\nAnswer: 0.0001064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 7*l + 12 = 0. Suppose -l*k - 6 = -5*k. Let j(m) = -k*m + 8*m - 7*m. Let n(x) = 3*x. Calculate -5*j(f) - 8*n(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let s(m) = 6*m. Suppose 56 = 3*k - 5*h, 0 = -2*k + 3*k - 4*h - 7. Suppose 21 = 3*f - k. What is f*b(c) + 5*s(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89146 - -136019. Let w = 78258 - q. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 107595*k**3 - 83493715*k**2 + 16197777800*k + 752720 = 0.\nAnswer: -1\/21519, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 + 3*q**2 - 348 - 402 + 1032 - 410.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + (13 - 5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.1 - 9.1. Which is the second smallest value? (a) 1 (b) 6 (c) 2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a**2 + 0*a + 146*a**2 + 52*a**2 + 0*a to the form o*a + p*a**2 + r and give p.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 576 and 828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761868743 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -55*o - 35 - 81. Let p = -0.3 - -0.1. Which is the closest to -5\/6? (a) -2 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 24283655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 28641?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*q**2 - 104 + 40 - 11*q - 63*q**2)*(-2*q + 2 + 1 - 1).\nAnswer: 2*q**3 + 20*q**2 + 106*q - 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3132 (base 4) to base 12\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 6*a**2 + a - 7. Let b be c(6). Let i(m) = -5*m + 1. Let x be i(b). Solve 0 = -x*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7424580 rounded to the nearest 100000?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 + 156. Suppose -3*f - 2*s + s + v = 0, -5*f + 2*s = -69. What is the remainder when 42 - (-2 - 4*-1) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53818\/5 - 10764. Put b, -1\/4, 0.3, 452 in ascending order.\nAnswer: b, -1\/4, 0.3, 452","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 975.00000477 + -975. Round x to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 f, and 1 w when four letters picked without replacement from wvwwfvwvvwwfvvwvvw?\nAnswer: 16\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15*(150\/165)\/(-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-2\/27) assuming l is positive.\nAnswer: l**(-4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7\/5 (b) 6\/31 (c) -3 (d) -0.33 (e) -0.0389\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p - 2. Let i be j(-2). Suppose -108 = -4*x - i. Suppose -4*y - x = 5*t - 3*y, 0 = 4*y. Sort t, 1, 0 in increasing order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 (base 15) to base 3\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 + 10*y + 27. Let p(c) = -7*c**2 + 21*c + 55. Let b(z) = 6*p(z) - 13*u(z). Is b(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1821, -3755, -5687, -7617, -9545, -11471?\nAnswer: -13395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5*(-6)\/(-45))\/((-2)\/(-6)). Suppose 0 = -k + 1. Suppose -k - f = -b. What is the remainder when 6 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-7)*(-28)\/(-8). Suppose u*y - y = 15. Which is smaller: 7\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 9*s**2 - 3. Let x be t(-9). Is (-3 + 0)*(-2 + x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 1351681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4844 and 3114?\nAnswer: 43596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 3.1. Let r = 3 + w. Let f = -4 - -3. Which is the nearest to f? (a) 0.5 (b) 1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Let v be 0\/(i + -8 + 3). Let m(b) = -b + 139. Let u be m(v). What is u rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 368272 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8570 - -128621\/15. Let f = 125\/7 - 674\/35. Find the common denominator of m and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 4*y - 4. Let w(p) = p. Let a(h) = -c(h) - 4*w(h). Differentiate a(j) wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -3\/2 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 1609644?\nAnswer: 1609643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -607774 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7736*b**5 - 1883732*b**4 + 4796292*b**3 + 10492208*b**2 + 3827792*b + 7872 = 0.\nAnswer: -246, -1, -1\/2, -2\/967, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066067603243 minus -1?\nAnswer: 1.066067603243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -42 + 0*z + 14*z + 20 - 35 + z**2 + 0*z. What is the remainder when 164 is divided by q(-18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*a + 3785, -u - 71 = -a + 1188. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**3\/6 - 8*j**2 + 23*j. Let h be x(11). Let g = -19 - h. Calculate the greatest common factor of 20 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9162 by -87.\nAnswer: -3054\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1081398 - 1081802.0039. Let k = -404 - d. Round k to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:32 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m = -3*t + 33636, 3*m = -9. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:02 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47804726, -95609440, -143414142, -191218832, -239023510, -286828176, -334632830?\nAnswer: -382437472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -35. Let y(d) = -d**3 - 6*d**2 - d - 3. Let x be y(-6). Suppose 0 = -s + x*s - 6. Solve -4*f + 2*b + 2 = j, -4*f + 0*f + 3*b - s = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -789343, 8, -3 in decreasing order.\nAnswer: 8, -2, -3, -789343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = -4*h - 0*i, -2*i = 5*h + 2. Suppose h = -g + 57 + 90. Does 49 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11092558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 28. Let v = -549 + 564. What is the remainder when r is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 54*x**3 + 21*x. Let m(r) = -11*r**3 - 4*r. What is 21*m(j) + 4*z(j)?\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -191, -1, 5 in ascending order.\nAnswer: -191, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*i - 16 = 0, -2*d - 4*i - 26 = -0*d. Let a = 8 + d. Suppose -4*m = -m - 15. Solve 0 = -m*j - 5*r + 25, -17 = -0*j - 3*j - a*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2880\/25758 + -10 + (-2948)\/(-297).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58125894 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 5*u - u. Let k = -34 - u. Let f = 77 + k. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -m, 4*m = -3*z + 7*z - 16. Suppose z + 14 = 5*y. Solve y*j + 5*s = 11, j - s + 7 = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x**3 - 12*x**2 + x = 0. Calculate x.\nAnswer: 0, 1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i - 9*i + 18*i)*(2*i**4 - 2*i**4 - 3*i**4) + (-1 + 1 + 2*i)*(i - i + 2*i**4).\nAnswer: -50*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 192 = -5*z, 9*j - 8*j + 44 = -5*z. Suppose -12 = 3*t - 3. What is the second biggest value in t, 0.1, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2429*t + 1027*t + 8268 = -1190*t for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -12*z - 10*z - 5*z - 13*z**3 + 31*z - 3*z. Suppose 3*t = -2*t + 5. Give w(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - v - 1. Let o(j) = j**2 + j + 1. Let p(q) = -3*o(q) - 3*y(q). Let m(l) = -10*l**2. Determine p(m(b)).\nAnswer: 300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*15*23\/5175)\/((-3)\/60*13)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41 + -b1a?\nAnswer: -ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90 + -84 - (1 + 16)) + 2\/((-12)\/(-570)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115428.11479 to the nearest integer.\nAnswer: 115428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000 (base 3) to base 16.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/(9*1\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l + 45*l + 15 = -5*v, 0 = -4*v - 5*l - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 277 * -332.\nAnswer: -91964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -84 + 109. Let u = 6 - 1. What is the third derivative of -u*f**2 - f**6 - 2*f**2 + i*f**6 wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-117)\/(-27) - 7)*3\/2. Let m be 14\/5*(5 + u + 4). Solve m = -3*g - 5*r, 5*r + 26 - 6 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9662 (base 10) to base 5.\nAnswer: 302122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11001111?\nAnswer: -11010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o - 6. Let d be b(3). Suppose -3*p + 6*p - d = 0. Solve n + p = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + w**2 + 0*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 - ((-19 - -30) + (0 - 7)) - 1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 1:28 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9a (base 11) to base 9\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -5\/2 (c) -1 (d) -0.161 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 1028 = 28*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29360 = 5*t + 2*b, 3*t + 4*b + 4880 - 22482 = 0. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/77 and 33\/4970.\nAnswer: 54670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103297753 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 25*i**2 - 16*i + 106. Let d be q(24). Let f = d + 599. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1606 - -0.1606. Which is the smallest value? (a) 3\/5 (b) r (c) 0 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25751305 is divided by 127.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -4 - (2 + 3 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/32, -47\/2, -25 in ascending order.\nAnswer: -25, -47\/2, 1\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 - 2*w**4 - 2*w**3 + 5*w**4 + (0*w**2 - 3*w**2 + w**2)*(2*w**2 - 4*w**2 + w**2).\nAnswer: 7*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 24 = 7*m. Suppose 2*w = -a - m*a + 5, w - 4*a - 35 = 0. Let r be 4\/(-5)*(-4)\/(8\/w). Sort r, 1\/2, 0 in decreasing order.\nAnswer: r, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 6*w - 6. Let h be p(4). What is the tens digit of h\/21 + (-80)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 2538\nAnswer: -7614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.36 - -2.64. Which is the biggest value? (a) k (b) 1\/3 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 17.704. Let d = 0.25 - 0.284. Let o = m - d. What is o rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 86 + 185 = 5*f + 89, 0 = -b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 11) in base 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*f - 1032 = 0, -2*f + 2622 = 5*r + 80. Let z = r - 259. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*r = -6, 3*l + 3 - 15 = -4*r. Is 87 - (l\/(-3) - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 + (-21)\/6 + 3. Let i be 1*(0 + j)*1\/2. Put 10, 3, 5, i in ascending order.\nAnswer: i, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f**5\/2 - 81*f**4 - 951*f**3\/2 + 3924*f**2 - 2370*f - 1008 = 0 for f.\nAnswer: -7, -2\/7, 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, -311, 2\/193?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 377\/18 - (100\/5 + 1)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 13 - 4)*(-2*u + 7*u + 3*u)*(0*u - u - u + (-3*u + 2*u + 3*u)*(5 - 5 - 1)) - 2*u**2 + 5*u**2 - 4*u**2.\nAnswer: -577*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131484*i**3*m**2 - 468*i**2*m**2 - 5*i*m**2 wrt i.\nAnswer: -788904*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 16 = 0, 2*i + 6 + 6 = -4*x. Suppose m = 1 + i. Is m\/(-1) + (-3 - -257) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81.8 - -72.8. Which is the closest to -0.23? (a) g (b) 3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 221 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d + 5. Let k(m) = -3*m + 3. Let x(w) = -1. Let c(g) = k(g) + 6*x(g). Let l(i) = -i - 1. Let s(z) = 5*c(z) - 21*l(z). Calculate 4*s(f) - 5*u(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14203726 is divided by 976.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16512919 to the nearest integer?\nAnswer: 4064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 425 or 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/12 + 5*c**3\/6 - 3*c**2 + 217*c. Suppose 0 = 3*f - 4*t + 1, -4*t - 31 = f - 4. What is o(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/6 - (2 - (-43)\/(-9))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, f: 4, c: 4, m: 9}. What is prob of picking 2 m?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11222507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 16, 3656, -175, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 56*y**2 - 4*y + 10. Let w be j(2). Let q = -143 + w. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 475\/9 + -53. Let q = -531 - -536. Suppose y + 5*m + 1 = 0, -y + 2*m = -1 - q. Which is the smallest value? (a) w (b) -0.028 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 94.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 2*f**2 + 0*f**3 + 0*f**3 + f**3 + 1 - 5*f. Give p(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 5. Suppose -4*o + 18 = -7*o. Let s be p(o). Is (-7)\/1*(s + -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (4 - 3)) + 17 + -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89395896*y + 89395896*y - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 17 = 4*q. Let g = -18 - q. Let d be 3*-1 - (-3 + g). Sort -1, d, 4 in descending order.\nAnswer: 4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 771011286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 78*z - 294. Let r be q(5). Let m = r - 56. Calculate the smallest common multiple of 96 and m.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 4*y - 47*y**3 + 136*y**3 + y + 251 - 90*y**3.\nAnswer: -y**3 + 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.04 + 0.04. Let j = x + 0.5. Suppose 0 = -i - 5*s - 5, -s = -2*i - 0*s - 10. What is the nearest to 1 in i, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679262800 rounded to the nearest 1000000?\nAnswer: 679000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3772 and 14980268?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**3\/3 + 2275*g**2\/2 + 7750*g. Let b(d) = -2*d**2. What is p(b(w))?\nAnswer: -4*w**2 + 2275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -45, -65, -85, -105?\n\"Answer: -20*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-744)\/(-992)*((-26)\/(-42) + -1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2. Let i(w) be the first derivative of 13*w**2\/2 - 17. What is b(i(z))?\nAnswer: -676*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymmyy. What is prob of picking 2 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276779 is divided by 22725?\nAnswer: 4079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k - 135 = -40*k. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17243 + -83315. Let n be (-45)\/(-6)*b\/(-30). Suppose 3638 = -4*d + n. What is d rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 take away -7357247454?\nAnswer: 7357247404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7094264 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y**3 - y - 90*y**3 + 239*y**3.\nAnswer: 110*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 + -6)*(4 + -2). Let m(l) = l**2 - 4*l + 3. Let r be m(4). Suppose p - 3*o + 12 = 0, 7*o - r*o = -3*p + 29. Solve p = -i + y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1801\nAnswer: 3602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 43. Suppose -23 = -g*j + 5*m, -5*j - m = -3*m - 50. What is the remainder when 57 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19974438293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6*d + 25. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1191 - -848. Suppose 0 = -14*g + 6270 + 1360. Let o = g + m. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-320)\/(-100))\/((-200)\/2500).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*g**3 + 18*g + g**4 - 13*g**3 wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10 + (-114)\/(-4). Suppose -r = -3*x - x. Let h = 61 - 42. Calculate the remainder when h is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.11 + 1.2. Let n = 19.91 + b. Let q = 20.000027 - n. What is q rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -2 + 0*a**2 + 0*a - 2\/3*a**3. Let h(s) = -s**2. What is h(g(m))?\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(-13\/5)*(m*m\/(((m\/(m*m**(-3\/5)*m))\/m)\/m))\/(m*m\/m**(-1\/14)))**12 assuming m is positive.\nAnswer: m**(7074\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*r**6 + 152*r**5 - 23*r**4 - 11*r**2 + 79*r - 1287?\nAnswer: -2400*r**3 + 9120*r**2 - 552*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10 - 12\/20. Suppose a = -i - 2*i + 66. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - -4.87. Let u(o) = o**2 - o - 38. Let h be u(7). Which is the biggest value? (a) h (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**5 + 198052*k**3 - 5428399*k**2 wrt k.\nAnswer: -60*k**2 + 1188312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4699 is divided by 4699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -246 (base 14) to base 16\nAnswer: -1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by ((-9)\/4)\/(4\/(-48)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 + -110. Calculate the remainder when 2\/(-8) + 87\/12 is divided by ((-4)\/20)\/(x\/20).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 3, e: 3, u: 1, v: 6, p: 4}. What is prob of sequence vpbz?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 170, 208, 272, 362?\n\"Answer: 13*v**2 - v + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -942546?\nAnswer: 23\/942546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 20*a + 4. Let t be b(-7). Let s be t\/(-24) - (-4)\/(-6). Solve 3*r = -s*m - 35, 3*r - 5*m = -0*r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, 147\/4, 0, -5, 21?\nAnswer: 147\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -140) + (-112)\/28. Let v = j + -137. Let o = -2 + 6. Solve 2*t + 2*t + a + 11 = v, 0 = o*t - 3*a + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.6 (b) -0.141 (c) -1\/4 (d) -3 (e) -2 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174206797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round 1658.4069 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 0*l + 2*l + 2 = 0, 0 = -5*j - 2*l + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 220\/(-678) - (-1)\/3. Suppose 113 = -3*q - 0*q + 113, 3*i - 2*q = 3. Which is bigger: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5926 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51910 and 580.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/81852 and 97\/518396.\nAnswer: 1555188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*l + 0*l - 150 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*x - 798 = 0, 0*a - 3*a + 475 = 5*x. Calculate the least common multiple of (-5)\/(-10)*-32*(-5)\/5 and a.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789990?\nAnswer: 2, 3, 5, 17, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -693587.156 to the nearest 100.\nAnswer: -693600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {s: 1, u: 2, n: 1, v: 2, r: 1, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 41*d**5\/12 + 23*d**4\/24 + 10*d**3\/3 - 564*d**2. Find the second derivative of i(a) wrt a.\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 13) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqfq when four letters picked without replacement from {f: 13, m: 4, q: 3}.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.803 times 3?\nAnswer: -8.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:38 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/6 - (-28)\/(-21). Let w be 10\/6 + (-2)\/(-6). Put -5, s, w in decreasing order.\nAnswer: w, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4774798*s**6 - 8*s**5 + 76*s**2 - 231*s - 656 wrt s?\nAnswer: 572975760*s**3 - 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3) - (-344)\/3. Is -1 + -5 + k + 0 + -3 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 611, 619, 645, 695, 775, 891?\n\"Answer: u**3 + 3*u**2 - 8*u + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11432\/9 - 1277. Find the common denominator of (-216)\/(-140)*20\/6 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19150?\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 0*j**2 - 2 - 3*j - 1 + 10. Let x(l) = -l + 2. Let t be x(-3). Does 15 divide o(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 + 690*i + 158700.\nAnswer: 3*(i + 460)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/(-24) + 4)\/8?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3527 - 3*q - 3567 - 2*q as z + g*q and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 - -0.9. Let s = 8 + -8. Let v = z + s. Which is the nearest to 0? (a) -2 (b) v (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-2)*18\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018857 to six decimal places.\nAnswer: -0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -739*p + 1688 = 305*p - 200*p. Let -16\/11*l + 32\/11 + 2\/11*l**p = 0. What is l?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -507*p - 73005. Let i be k(-144). Let m = -1 - -1. What is the third smallest value in 1, i, 0.05, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 40*r - 139 = -333, -4*r - 17 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8*d + v - 3, -13 = d + 3*v. Suppose 0 = -3*z + y + 336, 3*y = d*z - 4*z + 235. Suppose 1013 = 15*g + z. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -2\/17, 3\/7, -11.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 492167 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*j - 306 = -22*j + 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*g + 488 - 1340 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**29\/m)*m)\/m**(-5\/2))\/(m*m**(10\/3)*m*m\/(m*(m\/m**12)\/m*m)*m) assuming m is positive.\nAnswer: m**(-245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j**3 - 19*j**2 + 68*j - 11. Let k(u) = 7*u**3 + 13*u**2 - 43*u + 8. What is 5*d(c) + 7*k(c)?\nAnswer: -c**3 - 4*c**2 + 39*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 10*h**2 + 1. Let n be d(-10). Suppose b - 5 = -2*o - n, 5*b - 20 = -3*o. Suppose o = -5*u + u + 4. Solve 2*y = 3*y + u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53536 (base 11) in base 3?\nAnswer: -10221210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.042 - -0.142. Suppose -3*o = -4*c - 0*c + 26, 2*c - 2*o = 12. Suppose -5*n - 13 = 2*k - 0*k, 2*k = -c. Is n less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 564396.\nAnswer: 2821980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 + 7.64. Let j = 1.3 - h. Let s = -6 - j. Which is smaller: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/9 - 10*d**2 - 952*d\/9 = 0. Calculate d.\nAnswer: -28, -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6218.13 rounded to the nearest ten?\nAnswer: -6220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5460118804?\nAnswer: 2, 7, 73, 263, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w + 36*w = -32*w - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvdmxxxmvdxdxxm. Give prob of picking 2 x and 1 d.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, and 1 s when three letters picked without replacement from {l: 7, d: 4, r: 1, m: 2, s: 2, u: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1152) + -5*sqrt(1152))\/(-2*sqrt(9)*4 + (sqrt(18)\/sqrt(2) + sqrt(9))*-4).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77710 is divided by 364.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 - -0.2. What is the nearest to -0.1 in 2\/7, -1\/7, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494050993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 366697.1 weeks in microseconds?\nAnswer: 221778406080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -266 (c) -2\/5 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -816.14 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/6 - 113936*m**2\/3 - 3646225*m\/6 + 1937048\/3 = 0.\nAnswer: -17, 1, 227888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -2)\/(8162\/(-21889)) + -8.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2\/5, -0.01, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1421 divide 89160645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125107817?\nAnswer: 103, 1214639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -50. Let l be o\/4 - (-3)\/(-3 - -9). Suppose 5*b - 3 + 1 = l*y, b - 22 = -5*y. Solve -y*j + 3*p + 21 = -5, 0 = p + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15376*u - 15405*u + 47047*u - 16283*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -44. Suppose 0 = -2*f - 10, j - 4*f - 12 = 4. Let i = -4.6 + 5. What is the closest to -3 in j, c, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 27*l = -56. Find the second derivative of 31*c - 4*c**3 - l*c - 10*c**3 wrt c.\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4730568?\nAnswer: 2, 3, 53, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14\/12277, -8, -0.1, 5 in increasing order.\nAnswer: -8, -0.1, 0, 14\/12277, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 59) + 23 + 23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1)\/(11\/(-88)*-16). Solve -11*r + 18*r - 35 = f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 14 = -2*f, -5*f - 4*q + 25 = -2*f. Suppose -47*h = -51*h - f*s + 35279, -4 = -4*s. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((64\/6)\/16)\/(2\/(-18)). Let a(u) = -u**3 + u**2 + 42*u - 2. Let d be a(m). Sort -4, d, 3, 45.\nAnswer: -4, d, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(8\/3)*z\/z**(-24))\/((z**(3\/4)*z)\/(z*z**(-11))))**(25\/2) assuming z is positive.\nAnswer: z**(4775\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 159 = 628 + 83. Let y = 48 - 124. Let a = y + v. Are a and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x*x**2))\/x**(-7)*x*x**(-3)*x\/(x*(x\/(x**(-1\/14)*x))\/x) assuming x is positive.\nAnswer: x**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, l: 2}. Give prob of picking 3 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 4. Suppose t - 4*q = 17, -15 = 3*q - 0*q. Let l(j) be the first derivative of -3*j**2\/2 - 5*j - 14. What is t*l(z) - 4*x(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4324, 4328, 4332?\n\"Answer: 4*t + 4320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijjibjjibjicjjbiciji. What is prob of sequence bjcj?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * 3955517.\nAnswer: 12262102.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*v*v\/v**1*v*v))\/v))**(2\/39)*v**3*v**(-2\/5))**(-29) assuming v is positive.\nAnswer: v**(-16153\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-25)\/(-10))\/((-10)\/(-12)). What is the second derivative of x**3 - 25*x + 100*x + 199*x**z + 44*x + 54*x wrt x?\nAnswer: 1200*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -274\/763 + 8\/109. What is the closest to -0.3 in 0.3, x, 3\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 6. Let y = 2 + q. Let n(x) = -7*x - 2*x - x + 9*x - x**3. Calculate n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96986195 is divided by 16164364?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eemseemmeeemeessee. What is prob of sequence mee?\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 2*k**2 + 2*k - 8. Let u be l(2). Suppose -5*m = 2*g - u, -3*m - g - 9 = -6*m. Which is greater: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/3*r**2 + 14\/3*r + 2\/3*r**3 + 0 = 0. Calculate r.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6275325 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3843*m**2 + 215*m**2 - 112*m**2.\nAnswer: -3740*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*n*p**3*z + 343*n*p**3 + 18*n*z - 137081*p**3*z - 2*p**3 + 2*z wrt n?\nAnswer: 31*p**3*z + 343*p**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.024 + -37.\nAnswer: -36.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v - 182. Calculate the smallest common multiple of m(20) and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -106\/105 and -41\/50?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -11. Let b = y - 30.5. Let p be ((-2)\/(-8))\/((-3)\/(-18)). What is the fourth smallest value in p, b, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**3\/3 - 2*p + 12. Let o(k) = -2*k - 76. Calculate the least common multiple of o(-40) and b(-6).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3848404 divided by -4\nAnswer: -962101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-108)\/8)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 767267258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from owowowwowwwwow.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + -1331?\nAnswer: -1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 9*o**2 - 2177*o + 35. Give u(-43).\nAnswer: -2502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 694690*i - 4862585.\nAnswer: -5*(i - 138931)*(i - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 41638.\nAnswer: -4\/20819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1419 and 1199.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 1 in ascending order.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0164585 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let l(t) = 40*t - 15. Let i = -494 + 490. Let h(d) = 10*d - 4. Let q be ((-30)\/4)\/(2\/(-4)). Let s(n) = i*l(n) + q*h(n). Determine v(s(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -12*z**2 + 13\/24*z**4 + 0*z**3 + 0*z + 0. Let a(h) be the second derivative of -h**4\/4 + h. Calculate q(a(p)).\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -270, 10 in decreasing order.\nAnswer: 10, -9, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d + 6. Let f(i) = -20*i + 18. Let p be (-185)\/11 + 2\/(-11). Let s(w) = p*h(w) + 6*f(w). Let r be s(6). Put 3, 4, r in decreasing order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -4) + 2 + -1 + 0. Solve 5*k + x*g = -28, 5*k + 4*g - 2*g + 24 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3588*s - 4158501. Determine w(1159).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v = 4*v + 12*v - 4, n - 6 = -4*v + 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760 and 16435.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -9. Let w(x) = -x**3 - 5*x**2 - 2*x + 8. Let m be w(-4). What is the nearest to m in 3, l, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 38 + 25. Let j = 25 - w. What is the second derivative of n**4 + 3*n**j + n**4 + n wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 115*c**2 + 13*c - 19. Is x(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -415 - -2845. Suppose 143*x - k = 137*x. Does 22 divide 54\/x - (-5098)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 10*u + 0*u - 10 + 7*u. Let s be a(7). Let h = 1 + 0. What is the closest to h in -2\/9, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 12. Let f be d(-7). Let m = f - -12. Let j(i) = i**3 - 8*i**2 + 9*i - 1. What is the remainder when j(m) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 24 = 2*v. Suppose -2*y = -5*y + v. Suppose y*p = -4, p - 5*p + 1 = 5*r. Which is the closest to r? (a) 0 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2212 and 0.2?\nAnswer: -442.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -0.3, 35, -50, 0.029?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)\/(sqrt(54)\/(sqrt(30)\/sqrt(5)) + sqrt(9)))\/(sqrt(96)\/(sqrt(128)*4)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, f: 3, e: 3, r: 3, d: 3}. Give prob of picking 2 g and 2 d.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 107585+-2015586385\nAnswer: -2015478800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/84)\/(6\/(-72))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22630 - 7920 = -100*t - 30*t. Calculate the greatest common divisor of t and 1457.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 53. Let r be (n\/(-7))\/(4\/(-56)*4). Suppose 15738 = r*q - 3*o + 750, -q + 5*o + 3730 = 0. What is q rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from pypyyyyppppyyp.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2 - 9759*d + 39084 = 0.\nAnswer: -3257, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045077 is divided by 313.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1212201101?\nAnswer: -1212201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + (-6 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 4*n**2 + 2*n. Let y be q(-2). Suppose y*o = -14 - 6. Let c(l) = -l - 4. What is the lowest common multiple of c(o) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 1\/3 (c) 1\/4 (d) -48\/5 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.2 and 1982779.3?\nAnswer: 1982783.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vttc when four letters picked without replacement from {c: 1, t: 5, h: 1, a: 6, v: 3, g: 1}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 30 + m**2 - 70*m**3 + 114*m**3 in the form l*m**3 + f*m + k + c*m**2 and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4071, -8122, -12147, -16134, -20071?\n\"Answer: 2*u**3 + u**2 - 4068*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*g + 25 = 0, -g - 7 - 12 = 5*l. Let w be 12\/l - (-2 + -1). Let u(m) = 5*m + 12. Let d be u(-2). Solve 2*i - 2 = -d*c, -5*c = -w*c + 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00306329084 rounded to five decimal places?\nAnswer: -0.00306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1153 + 1153. Let w = 0 + 0.1. Which is the nearest to w? (a) -3 (b) o (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*i - 54*i**3 + 12*i + 56*i**3 to r*i**2 + u*i**3 + w*i + h and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 7. Let x(s) = -s - 7. Let j be x(v). Let h = -1288 - -6424\/5. Which is greater: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7861\/130 + -43\/130. Let u = l + 61. What is the third biggest value in -0.2, u, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 3395 = 3148 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1 - 0)) + -1 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**4\/7 - 11*k**3 - 190*k**2\/7 + 48*k.\nAnswer: -k*(k + 6)*(k + 8)*(6*k - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + b**2 - 3*b**2)*(2*b**2 + 3 - 6*b**2 - 2).\nAnswer: 24*b**4 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*o + 3*o**3 + 3*o**2 - 89*o - 5*o**3 + 3 + 35*o + 34*o as t + j*o**3 + d*o**2 + b*o and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)*r**(2\/15)*(r*r**(-1\/6))**(-22\/7))**(1\/3))**(-4\/5) assuming r is positive.\nAnswer: r**(1324\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 23*r**3\/3 - 3*r - 37. Differentiate b(v) with respect to v.\nAnswer: 46*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from nnhfmnnkkkkn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(4235) - (sqrt(4235) + (sqrt(4235) - -1*sqrt(4235) - sqrt(4235))))*6)\/(sqrt(21)\/sqrt(48) - sqrt(35)\/(sqrt(25)\/sqrt(5))).\nAnswer: 176*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3500*k**2 + 38*k - 166. What is the tens digit of f(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-11)*u**(2\/17))**(-9\/2) assuming u is positive.\nAnswer: u**(1665\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**5\/120 - 11*m**4\/24 - 14*m**3\/3 - m - 19. Let t(p) be the second derivative of j(p). Calculate t(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5\/15 + 848*u**4\/15 + 8*u**3\/5 - 10144*u**2\/15 - 13568*u\/15 = 0.\nAnswer: -2, 0, 4, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16436*t + 9*t**2 + 16568*t - 33004*t - 8*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 110201022?\nAnswer: 110201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 1\/8*g**2 + 0*g + 4 - 1\/12*g**3. Factor b(w).\nAnswer: -w*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2442447 millilitres in litres?\nAnswer: 0.0002442447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/7 - 11274*x**2\/7 + 10409235*x\/7 + 344738400\/7.\nAnswer: 3*(x - 1895)**2*(x + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d - 85*d**2 - 51*d**2 - 2 + 58*d wrt d?\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 15. What is the second derivative of 6*r**2 - 2*r**2 + 3*r**s - 4*r**2 + 5*r wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 e, and 2 f when four letters picked without replacement from {q: 4, i: 1, w: 1, e: 1, f: 5, c: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.002 + 0.498. Which is the smallest value? (a) w (b) -4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 134.4 (b) -9 (c) -2 (d) 3 (e) 0.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380 divided by -69?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + (5*sqrt(272) + 2 - sqrt(272)) - (sqrt(272) + 5*sqrt(272) + sqrt(272) + -2 + 5)))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*a - 5*g - 5, a + 4*g - 19 = 0. Let q be ((-3545)\/3 - 0) + a\/3. Let b = q + 3252. Round b to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**5*y + 1117*a**4*y**2 - a*y**2 + 259*a + y wrt a?\nAnswer: -20*a**3*y + 13404*a**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 + h**2 - 4*h - 5*h**2 + 9*h**2 + h**3. Let f be a(-3). Suppose -4*p + d + 142 = 25, f = -3*d. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -155 + 143 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-18)*(-1575)\/(-210)*(42\/(-5))\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -3*l**6\/10 + l**3\/2 + 4*l. What is the second derivative of c(d) wrt d?\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3398\/9 + -378. Let x be -6*-2*(-3)\/(-12). Suppose -2*o = x*o - 215. Calculate the common denominator of o and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57052\/17 - (-1 + 2). Suppose z + 3060 = 5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384970486 to the nearest integer?\nAnswer: 19621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368840 and 2480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 28. Suppose -c + 5*s + 10 = 34, 4*c - 2*s = -60. What is the lowest common multiple of 2\/(-5)*(c - 31) and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + 5*h - 25 = 0, 3*m = -2*h + 10. Solve -2*t + 2*r + 6 = m, 0*t + 3*t - 4*r = 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(243) + 4 - (2 + (-1 + sqrt(243))**2).\nAnswer: -242 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/120 and -47\/60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 0.0091?\nAnswer: -0.01092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a hour in minutes?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/(-12) - (-15)\/20 and -101\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -943*-0.035\nAnswer: 33.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**2 - 72148 + t - 72372 + 144520 - t.\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-10)*5\/(-2)*((-162070)\/1140 - -140).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 9. Suppose 21 = -6*d + 75. Let a = 1 + -3. Let z(v) = 2. Let y(k) = a*w(k) + d*z(k). Let h(n) = 2*n - 1. Determine -2*h(m) - 3*y(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 32 = -4*y. Let k = -6 + y. Find the third derivative of 3*s**2 + 6*s**2 - 4*s**k - 2*s**3 wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-120)\/(-288)*(-2)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1634904037?\nAnswer: 13, 83, 191, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3*1140\/304*-4. Solve 0 = -4*l + 6*v - 4*v - 8, 0 = 5*l - b*v + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*t + 524 = 198, -n = -3*t + 90. Let z be 1 - (-305 + 7 + 0). Let i = n + z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1168\/8835 - -2\/1767. Determine q, given that 0 + 2\/3*q + k*q**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 + -138.35. Round r to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14914347615+-6594\nAnswer: -14914354209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v + 406 = -59 + 57 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4890368 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -16. Suppose -2*q + 0*q = 4*v - 146, -2*v = 4*q - 70. Suppose -4*z + o = -4*n, 0 = 5*z - 0*n + 2*n - v. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from kur.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/221 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = l + 24 - 2, -4*l - 22 = -p. Suppose 0 = p*h - 2*h - 56. Suppose -5*q + h = -1. Solve 4*x = q*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 1.63907.\nAnswer: 0.491721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69024 and 1068.\nAnswer: 6143136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**2 - 100*z**2 - 16*z**2 - 9*z**2.\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 35)*(5*i - 5*i + i) + 5*i + 0*i - 2*i - 3 in the form s + g*i and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98555 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z + 53. Give t(9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*l - 1, 4 = 4*t - 3*t + 2*l. Let b = 1 + -20. Let x = -17 - b. Calculate the lowest common multiple of t and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/3 + 2*w**4\/3 - 7*w**3\/3 + 4*w**2\/3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 129062*a - 28425020.\nAnswer: -2*(a - 64310)*(a - 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*s + 25, -2*s + 1 = -2*i + s. Let w be -3 + -1*(0 + -1)*-2. Let j = i - w. Solve j*l - 4*l - 20 = 0, -2*b = 3*l + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110741848 by 56.\nAnswer: 1977533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 1, y: 11, u: 4, h: 1, o: 1}. Give prob of sequence ygo.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 19*o - 365. Calculate m(28).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6 (b) -135 (c) 0.1 (d) -0.3 (e) 2 (f) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a - 4 = -54*a. Let t be (a\/(-2) + 5)\/((-4)\/(-6)). Suppose 13*u - t = 4*u. Solve -4*i + 13 - u = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 418*o**2 - 2*o - 2. Let i be j(-1). Suppose 3*r - 4*f = 734 + 575, r = 5*f + i. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11298 + 8.14802. Let g = x - 693.57. Let b = -685 - g. Round b to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (220*n**2 + 34294*n - 34294*n)*(10*n - 29*n + 58*n) to s*n**3 + r*n + u*n**2 + m and give s.\nAnswer: 8580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212376 divided by 13.\nAnswer: 212376\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(800) - (sqrt(800) + 2)*4) + -3)**2*-6.\nAnswer: -43416 - 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49002038 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 4. Let y be q(0). Suppose -y*h + 20 = 3*m, -4*m + h - 10 = -h. Solve m = 2*u - 3 - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/4*d**5 + 399\/4*d**3 + 195\/4*d**4 + 201\/4*d**2 + 0*d.\nAnswer: -3*d**2*(d - 67)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*-36133\nAnswer: -578128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*u - 774 + 793 = 0, -39*u + 12*u - 247 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 495026244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 4, 60, 1 in ascending order.\nAnswer: 1, 4, 60, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5617, -44963, -151761, -359737, -702617, -1214127, -1927993, -2877941?\n\"Answer: -5621*o**3 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2 - 4*r**2 - 8*r**2 + 17*r**2 - 11*r. Is b(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 315*x. Let o(v) = v**2. Calculate o(l(g)).\nAnswer: 99225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 91\/35 + (-4)\/(-10). Suppose -s = -2*p + 12, -2*s - 16 = -5*p + n*p. Which is bigger: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, l: 1, k: 1, e: 3, b: 4}. What is prob of picking 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8 - 7 = 0. Solve -5*i = 2*x + 2, 4*x = -f*i - 2*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 + 89. Solve d = -h - 0 + 1, -u*h + 2*d + 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*k, 24 = o + 4*k - 2*k. Let h = 11 + o. What is the remainder when h is divided by 8\/8 - (-44)\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*p + 3. Suppose -10*i = -5*i - 10. Suppose 5*h = 3*h + 4*y + 6, -p = i*y. Sort 2, h, 4 in descending order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185?\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -52 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**3 + 57*x**2 - 23*x + 47. Let f be p(11). Solve 14*i - f = 34 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 0 + 0)*(37 + 36 + 7) + (-3 - 4 + 1)*(0*u + 2*u - 4*u) + 3*u - 3*u - 6*u to the form r + g*u and give g.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.85 + -0.55. Let r = 21 + -29. Let m = g + r. What is m rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-27))\/((-8)\/24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 960 and 360894.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 44. Suppose 2*l - 3*l - v = 0. Which is greater: 13 or l?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53413.17 millennia to centuries.\nAnswer: 534131.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o + 1. Let c be p(2). Suppose k - c = 4. Let v = k + -8. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 267 and -53.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 4:53 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q. Suppose 3*f - 66 = 27. Let v = -26 + f. Let z(n) = -4*n**2 + v*n + 11*n**2 - 5*n. Calculate z(l(c)).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 37*n**2 - 47. Determine k(-37).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39.6 and 1602268.\nAnswer: 63449812.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*u + 15, -a = 4*u + a - 10. Let k = -79 + 75. What is the nearest to -3 in u, k, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, -0.1, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527008 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10073 - 10073.013109. What is q rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72247247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9353e (base 15) to base 13.\nAnswer: -1346c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(85))\/sqrt(5))**2 - 1*(sqrt(17) + 2 + sqrt(1700) - sqrt(17)).\nAnswer: -10*sqrt(17) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 0*n**3 + 17*n - 19*n - n**2 + n**3 - 1 + 3. Let b be f(2). Differentiate 4*m**2 - 3*m**2 - 7 + b + 11 with respect to m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/36*(-15579)\/(-5770). Which is the closest to -3\/22? (a) n (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97949 - -97943.9199. Let c = 0.0801 + d. Put 0, c, -3\/11 in ascending order.\nAnswer: c, -3\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*1 - sqrt(171)) + -3 - ((-3 + sqrt(57)\/sqrt(3))**2 - sqrt(19))*-5) + 5.\nAnswer: -35*sqrt(19) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1653055\/56 or -29520?\nAnswer: -29520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195\/4 - 541\/12. Factor 4\/3*l**2 - 1 - s*l.\nAnswer: (l - 3)*(4*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 102601 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907871.\nAnswer: 907871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3451, 3416, 3365, 3298, 3215, 3116, 3001?\n\"Answer: -8*u**2 - 11*u + 3470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p - 3. Let k be j(5). Let z = k - -24. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 373, 720, 1075, 1438?\n\"Answer: 4*g**2 + 335*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2a8109 (base 11) to base 5\nAnswer: 110314130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let r(s) = -1 - 13*s**2 - 2 + 3. Determine u(r(l)).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3781819.54 and 23124.\nAnswer: 3804943.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 158*u + 855. Give g(163).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131773513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpbeb. What is prob of sequence pb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + sqrt(832)*-1 - (sqrt(832) + sqrt(832) + -1)*5) + 5 + (sqrt(1573) + 0 + sqrt(1573) + sqrt(1573))**2 + (-6*sqrt(52))**2 + -4.\nAnswer: -88*sqrt(13) + 16036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42293540 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -128423.591 rounded to the nearest one hundred?\nAnswer: -128400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**3 + 27*b**2 - 27. Let r(j) = -4 + j**3 + 5*j**2 - j**2 + 1 - 1. Give 4*l(w) - 27*r(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -24*x - 378. Let h be g(-16). Solve -4*l - 5*j = 1, 1 = h*j - 7*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/2 - 2157*m + 1550883\/2.\nAnswer: 3*(m - 719)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*y - 38 - 71*y + 39 + 87*y.\nAnswer: 118*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0, 4, -57, 192\/11 in ascending order.\nAnswer: -57, -2\/11, 0, 4, 192\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 126, -28, -284, -642?\n\"Answer: -51*v**2 - v + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 48, 43, 40, 39, 40?\n\"Answer: i**2 - 10*i + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04304 - 0.048773. What is z rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72.305324 and -128573?\nAnswer: 128500.694676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.492 - -13.49190013. What is z rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5708 is divided by 1823?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 21*s + 135 = i, i - 137 = -5*s. What is the remainder when i is divided by 108?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -20, -91, -232, -467?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8*n = 9*n + 129, 226 = 3*c + 5*n. Suppose -c*s + 68*s - 1 = 0. Solve 3*k + s - 10 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44697 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -540503534 (base 6) to base 15.\nAnswer: -c8bd04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (-26 - -18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**3 + 53*u**2 - 325*u - 2543. Determine p(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*y**4 + 0 - 2700*y**2 - 120*y**3 + 0*y.\nAnswer: -4*y**2*(y + 45)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**3\/3 - 2*j + 6. Give x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k + k + (-3 + 0 + 5)*(-4*k + 4*k + k) - 394 + 394 - 84*k + (0 + 0 + k)*(26 - 62 - 15).\nAnswer: -132*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15127 + 15131. Solve -58*o - 216 = -m*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10747326?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/730 and -65\/2774.\nAnswer: 13870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 470149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (62 - (6 - -164))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 9}. Give prob of picking 1 j and 1 e.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 39, -6, -12.\nAnswer: -12, -6, -3, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/6)\/(f*f\/(((f\/(f**(6\/5)\/f))\/f)\/f)*f)*(f*f**(17\/2))\/(((f*f*f**(19\/4)*f*f*f)\/f)\/f))**(-2\/65) assuming f is positive.\nAnswer: f**(157\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 115255.8mm?\nAnswer: 11525.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Suppose 9*m = 10*m. Suppose x*s - 2*c + 5*c - 15 = m, -3*c = -3*s + 9. Solve i = s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -v - 0*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2425150 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/5)*z*z)\/(z**(-8)\/z))\/(z*z*z\/z**(-9)*z*z*z*(z**(-4)\/z)\/z*z) assuming z is positive.\nAnswer: z**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*(-29)\/(-1392) - (-11)\/4. Let b(q) = 7*q + 2. Let f(o) = 6*o + 1. What is p*b(t) - 2*f(t)?\nAnswer: 9*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77c - -8?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-290)\/8)\/((-106150)\/(-880) - 120).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 90*r - 9*r**3 - 3\/2*r**4 + 21\/2*r**2.\nAnswer: -3*r*(r - 3)*(r + 4)*(r + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 23 = -19. Suppose -2*z = 2*b - 2, -2*b - 1 = 5*z - 0. Solve -b*l + r = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197432 and 431346.\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 3 = -7*q. Let n(t) = -t**3 - 1. Is n(q) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*o - 9*o - 17*o - 13*o - 14675*o**3 in the form u*o + v*o**2 + h*o**3 + i and give h.\nAnswer: -14675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 41339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7077, -14151, -21229, -28311, -35397, -42487, -49581?\nAnswer: -56679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74084792?\nAnswer: 2, 29, 31, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put -24, 2, 1 in ascending order.\nAnswer: -24, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -412 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9772545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 19 (c) 1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) 1\/2 (c) -241 (d) 0.2 (e) -5 (f) -30.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c8 (base 16) to base 9.\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l. Let g(d) be the second derivative of 5*d**4\/6 - 33*d. Give n(g(z)).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 16*l + 1. Let p be c(-3). Let h = p - -36. Let o(u) = -7*u - 5. Let n be -2*3 - (-13 - -1). Let m(w) = -13*w - 9. Give h*o(z) + n*m(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4+-1984611\nAnswer: -1984615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 4. Let t = -13 + 13.1. Let v = -84 + 81. Which is the nearest to t? (a) -1 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 162\/39 - 315\/(-65). Suppose -2*i - v*n + 1668 = 0, -2*n = -3*n - 2. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3852 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -657664 + 657664 + 8236*f to y*f + l and give y.\nAnswer: 8236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 47*p**2. Suppose -7 = -3*r + 20. Let k(m) = r*m + 8*m - 15*m. What is f(k(a))?\nAnswer: 188*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111 - 10010111011001010?\nAnswer: -10010111010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 965 + -950. Let n(p) = -p**3 + 11*p**2 + 58*p + 35. Let c be n(l). Solve 2*i + 4*t + 16 = 0, 0*i + 2*t = -c*i - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -31. What is the highest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 6)*(17*z + 9*z - 6*z + 23*z) as a*z + k and give a.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/sqrt(3) + 1*sqrt(576))\/(sqrt(24)\/sqrt(128) + 5*sqrt(9)\/sqrt(3))*-2*-4.\nAnswer: 352*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14)\/(c*c\/(c\/c**(3\/8))))**(5\/7) assuming c is positive.\nAnswer: c**(-615\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 109284420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38086407, -38086413, -38086419?\nAnswer: -38086425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*i - 32, 2*a - 14 - 30 = 3*i. Let o = -21 + a. Let v = 2\/23 - -17\/69. Which is bigger: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -5*q**3\/3 + 37. Let k(o) = -o**2. Let t(g) = 5*g**2. Let s(p) = 22*k(p) + 4*t(p). Calculate s(l(v)).\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x + 4*x - 3*x + 4 + (15*x - 141 + 141)*(4 + 8 - 4).\nAnswer: 124*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-18) + 20\/(-36). Suppose 17*u = 87*u + 570836 - 570626. Sort -4\/9, p, -0.5, u in increasing order.\nAnswer: u, -0.5, -4\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/17)\/((h*h**1)\/h)*(h\/h**(-2\/7))**30 assuming h is positive.\nAnswer: h**(4485\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896048944 is divided by 7566.\nAnswer: 7564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 48bc?\nAnswer: -48cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1715 + 0.8285. Sort -0.2, 1\/3, -1, z, 1.\nAnswer: -1, -0.2, 1\/3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 90 = 3*b, -4*z + 8*z = -3*b + 118. Let c(f) = f + 15. Let j be c(-11). Let v = z - j. Solve -2*g = -4*o + v, 0 = 2*g - 4*o + o + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.1. Let j = 10.77 - -0.23. Let m = 11 - j. Which is the closest to m? (a) h (b) -3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 3*x + 24*x - 7*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/40*(-6)\/15)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.013 - 1.013. Let t = a + 5. Put 3, -3, 2\/13, t in descending order.\nAnswer: t, 3, 2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 510 (base 7) to base 2\nAnswer: 11111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 945, 1936, 2919, 3894, 4861?\nAnswer: 5820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704 is divided by 253?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/10 - (2\/4)\/((-125)\/50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 3, q: 1, x: 1, y: 1}. What is prob of picking 1 y and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w + 599. What is s(21)?\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (26 - (23 + -13))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlxsxhl. What is prob of picking 1 n and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -51390 divided by -9\nAnswer: 5710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s. Suppose 32 = -o - o. Let p = o + 97\/6. Is s at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 + 22*g + 30. Calculate r(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = 4*s, 4*s - 2*i + 19 = -1. Let a(z) = z**3 + 5*z**2 + 2*z. Let c be a(-4). Let h = c + s. What is the remainder when 5 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18720111 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h + 12 = 0. Suppose 3*a - 14 = 4*q + 33, 0 = -3*q - h. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1 - 3 + 3*h + h**2 - 2. Let v be o(-4). Let w(u) = u**3 - u**2 - u + 14. What is the remainder when 27 is divided by w(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 140162 - -4?\nAnswer: 140166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 less than 620351653272?\nAnswer: 620351653220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 3. Let z(i) = -4*i - 3. Let p(a) = -5*j(a) - 4*z(a). Let m be p(-5). List the prime factors of ((-3)\/2 - 0)*m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9367 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3803182*s + 3 - 3 - 4*s**3 + 3803182*s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*g - 251 - 5, 4*g = 3*b + 259. Suppose 3*j + 56 = -g. Is j greater than or equal to -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 58 - 2*d**3 + 60 + 2*d + 34 as x + p*d**3 + w*d + h*d**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1360 and 720?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-2 - (-3311)\/143) + 320\/(-16)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 - 220*j + 280. Determine n(30).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/14*(-14)\/(-12)*9. Let o(r) = -3*r**2 + 13*r. Let l(y) = -y**2 + 6*y. Determine x*o(v) - 13*l(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3027991*c - 1533158 wrt c?\nAnswer: 3027991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6. Let h be (1 - 0)*437*1. Suppose z = -3*g + h + 58. Calculate the highest common divisor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 13) to base 3\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 20 = -k, 5*k - 2*z = -10. Sort -2, k, -5, 4 in decreasing order.\nAnswer: 4, k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 2 - 7*c**2 + 14*c**2 - 5*c**2)*(2 + 2 - 6 + (1 - 1 - 2)*(-3 - 1 + 6) - 24 + 9 + 12) as z*c + l*c**2 + u and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/120 and -69\/1856.\nAnswer: 27840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4650, 37136, 125314, 297030, 580130, 1002460, 1591866?\nAnswer: 2376194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 27738852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7338.4 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 10*c**2 + 10. Let a be f(-11). Let b = a - 517\/4. Suppose -1\/4*g**3 - 5\/4*g**2 - 3\/4 - b*g = 0. Calculate g.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 424*o + 11469. What is d(-27)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 309\/2 + -3395\/22. Does b = -1.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107994*w**3 + 43299*w**3 + 64697*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41275\/6 - 6926. Which is bigger: j or -48?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6261727*f**3 - 7206755*f**2 wrt f.\nAnswer: -37570362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 11*m + 9. Let z be k(-11). Let g(t) = 4*t - 2. Let n be g(3). Let w = n - z. Solve -3 = -4*d + w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23194 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, x: 1, m: 2, e: 2, s: 3, y: 2}. Give prob of sequence ev.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 3. Let t be l(3). Let a be (-9)\/8*(-2)\/(-3). Which is bigger: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.785 - 759.785. Let u = i + 758.454. What is u rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 108*h - 2851. Give c(26).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10100101100011010101?\nAnswer: 10100101100011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let i(c) be the second derivative of -c**3\/3 + 7*c**2 + 73*c. Determine h(i(z)).\nAnswer: 2*z - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 0.141337357?\nAnswer: -0.00565349428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 964 divided by 241.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40659781.\nAnswer: 37, 97, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.81 - -3.01. Is 46\/5 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 31*p - 8. Let t(q) = -3*q**2 - 88*q - 23. Let i(c) = 17*l(c) - 6*t(c). Let d(r) = 3*r**2 + 4*r + 6. What is -2*d(k) + 7*i(k)?\nAnswer: k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -2. Let i = -181\/3 + 61. Let p = -33\/4 - -8. What is the third smallest value in p, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, -4, 2, 0 in decreasing order.\nAnswer: 10, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 411748 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*k + 121. Let w = k - 26. What is the smallest common multiple of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56827.5 - -4235.7. Let n = l - -52593.2499817. Let p = 1.45 - n. Round p to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h + 256*h - 4485 = 0 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36132 times -3.92\nAnswer: -141637.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1828 + -1814. Suppose -245 = 5*h + 3*f, -4*h - f = f + 198. Let u = h + 108. Calculate the highest common divisor of u and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**4 + 124*t**3 + 980*t**2 + 932*t - 6840 = 0?\nAnswer: -19, -9, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 263943668 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 900446 divided by -2\nAnswer: -450223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 6*p + 2. Let t be d(6). Solve -6 = -4*q - t*s, 0 = 3*s - s - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 2*r - 8, 8*l = 3*l + 4*r + 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*w - 533*w + 1526 = 51457 for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/11, 0, -15, 5, 1\/224, 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 605.945 meters?\nAnswer: 0.605945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -58\/3*d**3 + 0*d + 0*d**2 - 173\/6*d**6 + 0*d**5 + 0*d**4 + 122. Find the third derivative of r(w) wrt w.\nAnswer: -10380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-410)\/1890 - 7*7*(-10)\/3430?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(42\/3)*-2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 32 - 582*q + 580*q)*(0*q - 8*q + 5*q + (-2*q + q + 2*q)*(1 + 2 - 4)) in the form a*q**2 + j*q + u and give j.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*o + 4*i + 11, -3*i = 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11189+2\nAnswer: 11191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 - 90. Let j = -19 - i. Let q = j + -5.5. What is the second biggest value in 5, q, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**2 - 7*l + 7. Let t(p) = -1 + 6*p + 3 - 8 + 294*p**2 - 572*p**2 + 283*p**2. What is -6*f(o) - 7*t(o)?\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5354 - -2?\nAnswer: 5356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 513\/9*((-12)\/(-18))\/2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 711*-4\nAnswer: -2844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 6. Suppose 4*n + v*d = 16, -d - 2*d = -n - 8. What is the units digit of ((-2)\/(-6))\/(n\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 76073.11 micrograms?\nAnswer: 76.07311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -4*k - 3*i, 2*k - 7*k = -2*i - 160. Let y = k + -62. Let a be (-20)\/(-12)*y\/(-2). What is the greatest common factor of a and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2*m = -0*m - 14, 4*n = 2*m + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-3926)\/28 + 136\/238. Suppose v*d - 276*d = 20. Which is the smallest value? (a) -3 (b) 2\/111 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (-1 + sqrt(99))*5 + 3)**2.\nAnswer: -4952 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + sqrt(112) + (sqrt(175) - (sqrt(175) + 5)) + 1)**2*2.\nAnswer: 16*sqrt(7) + 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1101 + 202402?\nAnswer: 204003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 8. Let p(x) = -6*x**2 + 10*x**2 + d*x**2 + 5*x - 4*x. What is the units digit of p(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87895324?\nAnswer: 2, 11, 1091, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1954.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**5\/20 - 5*i**4\/12 - i**3\/6 + 12*i. What is v(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244410.\nAnswer: 2, 3, 5, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -5, -4, 0.1, -0.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 1. Let d(a) = 35*a + 6. Calculate -d(m) - 5*h(m).\nAnswer: -25*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 24 = 5*m, 5*m - 2*q = 3*q. Calculate the remainder when 15 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676 = 5*z - 6*k - 645, -5*z - 4*k - 71 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*l = -6139 + 2074 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 4. Let l be f(0). Suppose -d = -l*h + 1003, 3*d - 4*d - 503 = -2*h. Suppose -h = s - 3*s. Round s to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 28*p - 12. Let c be l(-27). Let r = c - 103\/7. Let o = 0 - 0. What is the closest to 3 in r, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1021969738 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(sqrt(64)\/sqrt(128))*-2.\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11466 is divided by 608.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -92.\nAnswer: -6.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184 or -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 45658498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o. Let m(n) = -115*n - 2. Give -m(f) - z(f).\nAnswer: 113*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 22422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s + 6. Let a = s + -2. Let z = -50 + 90. Calculate the greatest common divisor of a and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f**3 - 4*f**2 - 18*f + 9. Let w(z) = -10*z**2 + 5*z + 17. Let i be w(-3). Let g = 93 + i. Is q(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*6\/45)\/((-2)\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1261 - 5*l**2 + 73*l - 1273 - 33*l + 7*l**2 - 40*l.\nAnswer: 2*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 48\/5 of a kilogram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14222600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 = -5. Let w be (-5)\/2*2\/(-10). Let k = 3.3 - -0.7. What is the nearest to 2\/7 in w, k, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424211334 - 4?\nAnswer: 424211330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**2 - 2*k. Let x(m) = 5*m + 4. Let v(q) = 11*q + 9. Let b(o) = 4*v(o) - 9*x(o). What is t(b(d))?\nAnswer: -8*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048 - 29*c**3 + 1079 - 2127.\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 8:49 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 divided by -5?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.154 + 16.1. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - o - 1 + 3*o - 2*o. Let i be h(-4). Suppose z = l, -6*z + z + 30 = l. Solve -i*q = -l - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 9*l**2 + 5*l + 11. Let f be (-16 - -14) + ((-20)\/2)\/(-2). Suppose -2*w + f*a + 13 = 0, 4*w + 3*a - a - 34 = 0. Determine j(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 6:44 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 19. Let o(d) = 31*d**2 - 2*d - 195. Let g(v) = 21*m(v) - 2*o(v). Suppose -4*j - 13 - 15 = x, 0 = 3*x. Determine g(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 5. Let g(i) = -2*i**2 + i. Let v be g(2). Is 6 a factor of t(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125762 and 1092?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -8\/5, -0.17, -0.3.\nAnswer: -8\/5, -0.3, -0.17, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-4)\/14)\/((-16)\/(-5488)*28)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 4) + -7 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, b: 11}. Give prob of picking 3 g and 1 b.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 16) to base 12.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 9*k**2 - 3*k - 12. Let f be b(-9). Let i = f + -11. What is the second derivative of 0*a + 2*a**3 - i*a + 3*a wrt a?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.5, 2, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 4*p = -516. Let o = p - -87. Let h be o + -1 + -1 + 4. Solve -h*s - 3 = 0, t + 19 = -3*t - 3*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0.4, 376 in decreasing order.\nAnswer: 376, 1, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 16*i**2 + 18*i - 13. Let m be y(17). Let q be (12\/(-40))\/((-3)\/m). Which is the smallest value? (a) q (b) 4\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3 + 9 = 0. Suppose -v*h = 3*t + 88, -2*h - 107 = 4*t + 9. Let l = t - -31. Sort -1, -5, l in increasing order.\nAnswer: -5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -10*l + 116. Suppose -2*m - 3*q = 11, -m - 21*q + 7 = -l*q. Solve 10*p = 9*p + m*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8047 + -4629. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + 2*a + 1318. Let f be x(0). Suppose 0 = -3*u + 8063 + f. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -4 (c) 2 (d) 0.78 (e) 18 (f) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4706 (base 12) to base 8.\nAnswer: -17366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 46*u\/7.\nAnswer: -2*u*(u + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = 3*u. Suppose -230 = 4*f + 2*w, -4*w + 224 = -u*f - 8*w. Let r = f - -82. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45904129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 9*s**2 + 2*s + 30. Let p be t(9). Let f be ((-40)\/p - (-2)\/4)*-2. Factor 0*x + 0 - 2\/3*x**3 + 0*x**2 - f*x**4.\nAnswer: -2*x**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 2*s + 1. Let j = 25 - 3. Let p be 124\/(-44) + (-4)\/j. What is the units digit of u(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 + 8 = 0. Suppose -f - 4 = t*f. Let l be (1 + f)\/((-6)\/3). Is l <= 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 14035?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4517140753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24563734801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -9*(-12)\/99)\/(6966\/(-4257))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 + -45. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -281 + 272. Let p = 5 - -7. Let k = o + p. Put 0, -5, k in ascending order.\nAnswer: -5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/4*4\/6. Find the common denominator of 31\/6 and -8 - -9 - s\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-112761)\/(-170)*(1 + -2)*-2*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1131*-3)\/((-4092)\/(-8866))?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-21))\/(-1)*301\/43. Let q(p) be the first derivative of 0*p + 0*p**2 + m*p**3 - 3\/2*p**4 + 6. What is the third derivative of q(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 657a6 - -2?\nAnswer: 657a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66145 and 1145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21723 times 16\nAnswer: -347568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10100531 - 2?\nAnswer: 10100526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*f**2 - 121*f**2 + 48*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 12*135\/280?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 o when four letters picked without replacement from ojwojoowwolowvo.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6080599 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31073 - 17137. Is 134 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 18*f**2 - 495*f - 7. Let r(p) = 13*p**2 - 330*p - 5. Let c(w) = 7*r(w) - 5*x(w). Let l(v) = -v. Calculate l(c(k)).\nAnswer: -k**2 - 165*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 312700681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0371 and 0.0554.\nAnswer: -0.00205534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y - 92*y - 1774 = -8222. Calculate the remainder when y is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 26. Let w = -0.4 - 1.6. Put 0.3, v, w in decreasing order.\nAnswer: 0.3, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(243)*5 + sqrt(243) + ((sqrt(243) + 1)*-2 - sqrt(243)))**2.\nAnswer: -288*sqrt(3) + 15556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.86 - -0.14. Let z = 32 - l. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 0*r**2 + 5\/3*r**3 + 0*r + 2 + 0*r**4 + 3\/5*r**5. Find the third derivative of x(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 6*j - 340 = 0. Suppose 2*x - 14 = -0*x - 2*a, 3*a - j = -2*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17397 + -1b5?\nAnswer: -17590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 385842432 at most as big as 385842435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000243635 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q + 11. Calculate v(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3166014626 to the nearest integer?\nAnswer: 56267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**6\/360 + q**5\/40 + 5*q**3\/3 - 4. Let p(h) be the third derivative of c(h). What is the second derivative of p(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 7:44 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728214 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**14*n**(-12\/7))\/(n**(5\/4))**(8\/11) assuming n is positive.\nAnswer: n**(876\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kunpbko. What is prob of picking 1 k, 1 p, 1 o, and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15260 and 1955024?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**2 - u**2 - 3*u**2 + 4*u**2 - u**2 - 2*u**2 + (u + 3*u - 5*u)*(0*u - u - u))*(-4 + 0 + 0).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5))**(36\/7))**(-42)\/((u**(-2\/15)\/(u**(1\/4)*u))\/(u\/u**(2\/5))**(1\/7)) assuming u is positive.\nAnswer: u**(7381\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35029698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1669, -1672, -1667, -1648, -1609, -1544, -1447?\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/5 - 1\/5*t**3 + 1\/5*t - 9\/5*t**2 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255 divided by -3.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 7*f = -615. Let q = f - -42. Is 446 + (16 + -17)*(q - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, 1 u, and 1 s when four letters picked without replacement from {q: 2, u: 1, x: 5, s: 2, r: 4}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 44*f + 3. Let o be p(8). Suppose -5*j + 4*i + o = 0, 0*i = 5*j + 4*i - 395. What is the greatest common divisor of j and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*z, -z + 0 = -u + 4. Let n(l) = 1. Let h be ((2 - 0)*9)\/2. Let q(k) be the second derivative of -k**3\/6 + 2*k**2 + k. What is h*n(m) + z*q(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 times -37\nAnswer: 8.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 31*p - p + 430 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-85)*((-45)\/(-5))\/9.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690389 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 6932*b - 6924*b = -168 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3355, -3347, -3327, -3289, -3227, -3135, -3007?\n\"Answer: f**3 + f - 3357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14229605*s**2 + 204856784.\nAnswer: -28459210*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 13.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12431374, -12431369, -12431364, -12431359?\nAnswer: -12431354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 - 132*p**2\/5 - 2178*p\/5.\nAnswer: -2*p*(p + 33)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1278418 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60519?\nAnswer: 3, 20173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 425, 181, -1079, -3889, -8783, -16295, -26959?\nAnswer: -41309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, 66, 184, 362, 606, 922, 1316?\n\"Answer: s**3 + 21*s**2 - 6*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (171 + 895 - 345 + 582 + 1242)*(4*s + 2*s + 2 - 5*s).\nAnswer: 2545*s + 5090","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 - i + 22. Let p = -202 + 202. Let o be t(p). Let m(l) = -l**3 + l**2. Let k(g) = -12*g**3 + 12*g**2 + g. Calculate o*m(f) - 2*k(f).\nAnswer: 2*f**3 - 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6379, -6317, -6237, -6145, -6047, -5949, -5857, -5777?\n\"Answer: -g**3 + 15*g**2 + 24*g - 6417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011039943 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 12. Let k(o) = -o + 8. Does 2 divide k(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38534 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 3, 0, -5, -12, -21?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1367\/7 + 195. Let r = 13.1946 + -13.1946. Put 0.1, h, -0.2, r in descending order.\nAnswer: 0.1, r, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1800 is divided by 894.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 - -75. Suppose 31 = -2*z + w*r, 5*r - 15 = 2*r. Put 14, 5, z, 0 in increasing order.\nAnswer: z, 0, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(4\/5)*f)*f**(-2\/7))\/((f\/(f\/(((f*f\/f**(-2)*f*f)\/f*f)\/f))*f*f)\/f**17) assuming f is positive.\nAnswer: f**(333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 + 8)*(-62*o + 380 - 380)*(1 + 4 + 0) + o + 0*o + o - 2*o + 6*o - 3*o + (0*o - o + 3*o)*(-1 - 2 + 4) + 0*o + 0*o - 2*o as q + z*o and give z.\nAnswer: -3717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135393?\nAnswer: 3, 45131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 674\/10227 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -598852 (base 11) to base 2.\nAnswer: -11100111100111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 31 = i, 3*r - 2*i = i + 42. Suppose 2 = -r*o - 28. Which is the closest to 1? (a) o (b) 0.4 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*u = -100, -s + 8 = 6*u - 24 - 56 - 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174091.\nAnswer: 174091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14 - 1148\/70)\/(2\/(-4490)*1).\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 17*r**2 + 38. Let m(o) = 37*o**2 + 76. What is 13*k(t) - 6*m(t)?\nAnswer: -t**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u - 4*v - 88 = 0, 3*u + 5*v = 75. Let a(s) = s**2 - 5*s - 2. Let n be a(6). Calculate the highest common divisor of u and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -8*i + h, 21 = -2*i - 4*h + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 8*v + 2. Let f be q(-8). Suppose -r = -2*r + 4. Suppose -n - 24 = -a, -r*n + 24 = -0*a + f*a. What is the highest common divisor of a and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/985 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1539) + sqrt(1539) + 2*sqrt(1539))**2.\nAnswer: 72*sqrt(19) + 24625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-74)\/(-185))\/(2\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 + 928*m + 924 = 0. Calculate m.\nAnswer: -231, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and 2326.635?\nAnswer: -76778.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 6.25, 4, 2\/3, 3\/7 in decreasing order.\nAnswer: 6.25, 5, 4, 1, 2\/3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2799.584 take away -3037651?\nAnswer: 3034851.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 127340597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/9 + 2*q\/3 - 5\/9 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 8:16 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1716 + 2060 + d**2 - 344.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 161*x**2 - 258*x - 198. Find the first derivative of t(n) wrt n.\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/35 - 0 - (-6)\/10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + v + 2 + 2*v - 97*v**2 + 6*v.\nAnswer: -86*v**2 + 9*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 31*f - 137. What is the remainder when 14 is divided by w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 10 = 3*v + 3*q, v - 12 = 4*q. Solve b + v = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(51)\/sqrt(3)*-5 + sqrt(85)\/sqrt(5) + 4)**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.143319033 - 0.2.\nAnswer: -0.056680967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*x - 21*x - 12. Suppose -x*u + 2*u + 180 = 0. Suppose u*a + 4190 = 47*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*(z\/z**9*z)\/z)\/z)**(2\/49)\/(z**(7\/2)\/(z*z\/(z\/(z\/((z\/z**(-1\/15))\/z))))) assuming z is positive.\nAnswer: z**(-389\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 - 14. Let f = m + 170. Let x = f - 49. Which is bigger: -0.042 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 6 - 5 - 14\/7. Is 13 a factor of 379 - (1 - 3\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 - 90 + 10*b**2 + 6*b**4 - 9*b**2)*(4*b - 12*b - 2*b).\nAnswer: -60*b**5 - 10*b**3 + 220*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(17) + 1 - sqrt(17))*6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/5)\/j)\/(j\/(j**(3\/2)*j*j)))**(-8)*(j**1)**(-1\/21)\/(j*j**4*j\/(j**(-5)*j)) assuming j is positive.\nAnswer: j**(-1811\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(-8))\/n*n))\/n)\/(n\/(n*n**1\/n))*(n*n**(-8\/3)\/n*n)\/n**(-2\/13) assuming n is positive.\nAnswer: n**(214\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 6 = -3*h, 2*b + 5 = 82*h - 81*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.578*-1749\nAnswer: -1010.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1334*q + 231. Determine a(0).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let q = 17.296 + -8.296. Which is the biggest value? (a) q (b) u (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 3. Suppose 2*v - l - 2 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*s - 164*s + 56*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 188*j**2 + 3283*j - 439. Calculate h(16).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1449, -1242, -913, -474, 63, 686?\n\"Answer: -2*t**3 + 73*t**2 + 2*t - 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 358, 797, 1410, 2197, 3158, 4293?\nAnswer: 5602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-18))\/(26\/(-9) - -3). What is the third derivative of 50*x**2 - 107*x**3 + 6*x**2 - 36*x**g wrt x?\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/9 and 61\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgii when four letters picked without replacement from huuhihinishhsghhiuu?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -4, -2 in decreasing order.\nAnswer: 30, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 6*n**2 + 5*n + 3. Let c be l(5). What is the second derivative of -c*z**5 + 0*z**5 + 11*z - 8*z**5 wrt z?\nAnswer: -220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 106 + 309 = 0. Let d = 497\/6 + j. Is d greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 17452?\nAnswer: -17457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 27. Suppose -3*x + 5*l = -148, z*x - 5*x = -3*l - 144. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9476c (base 13) to base 2\nAnswer: 1000001001101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 11. Let u = x + -77\/4. Which is the second smallest value? (a) -4 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, w: 3, z: 2, m: 1, r: 2}. Give prob of sequence jr.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 13*a**2 - a + 329. Let b(y) = y. Give b(m(u)).\nAnswer: 13*u**2 - u + 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/2372 >= 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/48)\/(4\/2))\/(17\/(-34))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 390168 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**(-42))*t**(1\/30)*t**18\/t**(-3) assuming t is positive.\nAnswer: t**(-629\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10650192 - 8.9.\nAnswer: -10650200.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001043 to five dps.\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 - 9*f**2 + 172.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 351\/546 + 4 + 14\/(-4). Factor -8\/7*j**2 + 2\/7*j + 12\/7*j**3 + 2\/7*j**5 + 0 - n*j**4.\nAnswer: 2*j*(j - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -167685, -3, 10 in decreasing order.\nAnswer: 10, 0, -3, -167685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440206461.\nAnswer: 3, 71, 277, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37340 divided by 9335?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -212, -710, -1678, -3272, -5648, -8962?\nAnswer: -13370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19342 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5403257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*s + 12, s = 3*o + 2*o - 20. Suppose 4*d = r + 29 + 138, o*r - 20 = 0. List the prime factors of d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21575 > 21517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -2\/7 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h - 2*h)*(-33332*h**3 + 16789*h**3 - h**2 + 16750*h**3)*(-3 + 3 + h + (-3 + 0 + 4)*(-3*h + 5*h + 0*h)) - 4*h**5 + h**5 + h**5.\nAnswer: -1244*h**5 + 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 5*t + 5. Let r(j) = -4*j**2 + 6*j - 13. Let h(v) = -3*v**2 + 4*v - 9. Let u(q) = 7*h(q) - 5*r(q). Determine -5*u(y) + 2*w(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/9066 and 76\/9?\nAnswer: 27198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 7374, 0 in descending order.\nAnswer: 7374, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 7. Let i(c) = -4*c + 21. Let k(o) = 2*i(o) - 7*q(o). Let t be k(5). Let v(f) = -f**2 - 15*f - 5. What is the tens digit of v(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/14*(-5)\/(-5) - 760\/56?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -692*x - 15663 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59355 and 13590.\nAnswer: 17925210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1794010 and 7564915?\nAnswer: 5185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107834*c - 432*c**2 - 107834*c.\nAnswer: -432*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1070 and 8?\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4207983.\nAnswer: 3, 13, 107897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/2436*14?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (304 + -294 + -8 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*y**3 + 39*g**3 + 2*g**2*y**2 - g + 36*y**3 wrt y.\nAnswer: 12*g**3 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19e4 + 3?\nAnswer: 19e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*w**5*x**2 + 13707*w**3*x - 2*w**2*x - 7662*w**2 + w*x**2 - 1 wrt w.\nAnswer: 300*w**2*x**2 + 82242*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 121 = 161. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 8168 = -7826, -3*a = -5*s - 26 - 21 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5\/5 - 552*p**4\/5 + 1076*p**3\/5 + 1648*p**2\/5 - 432*p - 2176\/5 = 0. What is p?\nAnswer: -1, 2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytdftftyttfttf. Give prob of picking 1 f and 1 y.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 11 = 2*k + 5*l, -5*k - 3*l = -28. Suppose 2*m + v - 5*v - 292 = 0, -5*v = -k*m + 705. Calculate the highest common factor of 68 and m.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 + -0.5. Let d = 623 + -622.7. What is the fourth biggest value in -2, d, b, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.136 - 0.174. Let b = l - -7.41. What is the third smallest value in b, 13, 2\/29?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875973731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u**2 - 5*u + 100. Give h(-9).\nAnswer: 793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {z: 2, j: 3, b: 4, d: 10}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/3329?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:31 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -179 - 62?\nAnswer: -1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 6*g - 4. Let v be c(4). Let n(p) = -6*p + v*p + p. Let w(r) = r. Give w(n(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.645125 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (1 + 2 + (-3 - 2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 5*w + 86. Suppose -2*h = -l + 47 - 31, -3*h = -2*l + 30. Determine a(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -452\/5. Let c = -0.379 - 6.181. Let z = -0.44 + c. What is the third smallest value in 0, h, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 38811262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.53 and 0.62?\nAnswer: -0.3286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i**(-2)*i))*i*i\/i**(-2\/3))\/(i**(-2\/3))**(34\/3))**38)**(1\/31) assuming i is positive.\nAnswer: i**(3154\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 10*u**5\/9 + 434*u**4\/9 - 8858*u**3\/9 - 500962*u**2\/9 - 3114440*u\/9 - 1166200\/9 = 0?\nAnswer: -35, -7, -2\/5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -391 - -791. Let v = -403 + o. What is the nearest to 1 in v, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and (0 + 40)\/(71\/213)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 34 (b) 3 (c) -0.01 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 25. Let c = v - -13. Find the first derivative of -c*n**2 + 3 + 5*n**2 - 2*n**2 wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 1. Let u(c) = -19*c**2 + 8*c + 1. Let f(m) = -u(m) + y(m). Find the second derivative of f(n) wrt n.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 2*d**2 + 14*d + 11. Give i(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141430 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11807991 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 1 (c) 101 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {y: 2, u: 1, o: 2, g: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17451959 and 2345?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwrlcwllwccwcw. What is prob of picking 1 c and 3 l?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-2)*(-270)\/5400. Sort 7, 1\/10, l in descending order.\nAnswer: 7, l, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**5*d**(10\/3))\/(d**11\/d*d*d**(-3\/2)) assuming d is positive.\nAnswer: d**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 128 + 1 - (1 - -1). Suppose t - 34 = 3*y. Let n = y + 36. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*p - 19, -q - 5*p - 4 + 21 = 0. Let w = q + -4. Let j(n) be the first derivative of n**3\/3 + 2*n + 2. Let c(k) = k**2. Give w*c(x) + j(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4*(-4 - (-220)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.1. Let f = 3.2 + 0.8. Is f at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 29465*q + 530366. Calculate b(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrzrzzy. Give prob of picking 1 y and 3 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74097560 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/7, -0.1, 2, 0.106, 0.3, 1 in decreasing order.\nAnswer: 2, 1, 0.3, 0.106, -0.1, -22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 3*d + 16. What is i(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -26 + 13 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 82\/(-26) - (-8)\/52. Let k be (x\/9)\/(2 - (-39)\/(-18)). Suppose k*p - 4*h = 4, 14 = 3*p + 3*h - h. Solve -p*l + 3*i = 7, -6*l - 2*i - 3 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - t - 5*q = 13, 10 = -2*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*c = 32, 44 = 3*s - c + 2*c. Calculate the remainder when 44 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 11 = 4*c, -4*c + 2*g = -2*g + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 580 and 37468.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2019 = -1111. Let r be (c\/3)\/(4\/(-6)). Let g = 244 - r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**8\/1400 - z**7\/1400 + 35*z**3\/3 - 3*z**2. Let n(b) be the first derivative of i(b). Factor n(t).\nAnswer: -3*t**3*(2*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 662 - -3?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -314*z. Let u(t) = 10*t. What is r(u(w))?\nAnswer: -3140*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32583422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 37\/60*x**5 + 1\/12*x**4 + 5*x**2 + 0*x + 0 + 16\/3*x**3. Find the second derivative of j(q) wrt q.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 8\/((-64)\/(-1400)). Let j = 181 - o. What is the remainder when 185 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -3796, 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -7b70?\nAnswer: -7b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 9233090.4.\nAnswer: 9233089.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let h(n) = 27344*n - 2. Determine a(h(z)).\nAnswer: -747694336*z**2 + 109376*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*q - 268*q**3 + 8*q + 234*q**3 wrt q.\nAnswer: -204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837686*j - 837872*j + 9486 = 0 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert fb (base 16) to base 8.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 17*k - 6458. What is x(64)?\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 15 = -3*c. Let t be (-2)\/10 - c\/15. Let m = t - 0. Solve 5*y + m = 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 13. Let z = j - -1.6. Suppose 0 = 4*t - 8. Which is the third biggest value? (a) t (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.08 (b) -1\/2 (c) -11 (d) 21\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(133)*2*-4*-6)\/(1*((sqrt(448) - -2*sqrt(448)) + sqrt(448))*-1))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 339337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1538)\/702 + 46592\/21632?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(12)\/(1*sqrt(4)))**2 - (4 + 3 + -1 + sqrt(18)\/sqrt(6))**2.\nAnswer: -18*sqrt(3) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/117 + 1\/52. Let v(z) be the second derivative of -g*z**4 - z + 0 - 2\/9*z**3 - 2\/3*z**2. Factor v(a).\nAnswer: -(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4257 = 10*p - 1263. Suppose 8*d - 6*d = p. Does 56 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 11:07 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 12309444\nAnswer: -1230944.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -10*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 - 5 + 3 + 1 + (4 - 1 - 2)*(-1 - 3 + 2))*(23 - 23 - 9*h) + 488*h + 6138 - 6138.\nAnswer: 524*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 683, 682, 681, 680, 679?\n\"Answer: -n + 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.420286424 rounded to 3 dps?\nAnswer: -9.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9 = 125*b - 124*b, -3*o + 12 = -3*b. Which is smaller: 2\/20007 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/((-1 - 0 - 2) + (-25)\/((-400)\/(-32))).\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Suppose -4*m = 3*c, -2*c - 3*m = -0 + 1. Let r be 1\/((-8)\/c)*-38. Let t(q) = -4 + 4 + r*q - q. What is t(u(s))?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5133136.\nAnswer: 2, 320821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2135 divided by -2\nAnswer: 2135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 78 = 22*v. Let o = -75 + v. Suppose -o*a + 8*a - 295 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5082 and 0.4?\nAnswer: -2032.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -29, -3\/10, -1981?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -188791680 rounded to the nearest one million?\nAnswer: -189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 4246*h**2 + 4478*h**2.\nAnswer: 232*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*n*w**4 - n*w**3 - n*w**2 - 2*n*w - 21*w wrt w.\nAnswer: 528*n*w - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(94*c - 3 - 184*c + 96*c) as s + l*c and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1970)\/4728)\/((-14)\/12*5)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -0.1, -3, 3\/7, 0.27?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 88 = 0. Suppose 0 = -3*k + 2*k + t. Calculate the common denominator of (-51)\/k - (-2)\/(-4) and -39\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 9*g**2 + 13*g - 14. Let x be n(10). What is the greatest common factor of x and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/28)\/((-1)\/(-8)). Suppose -3*s = d*s - 10. Suppose s*j - 10 = -2. Solve g = -j*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930*a - 71*a**2 - 4*a**3 + 2*a**3 + 2 - a**3.\nAnswer: -3*a**3 - 71*a**2 - 930*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1181804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a + 161. Let u(f) = -4*f**2 + 5*f - 643. Let p(h) = 9*o(h) + 2*u(h). Let c = 0 - 0. Is p(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111bddb (base 16) to base 11.\nAnswer: a143599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4199*x**5 - 3*x + 199.\nAnswer: -83980*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*v**3 - 44*v**2 - 40*v**2 + 84*v**2.\nAnswer: -97*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1092 times -2\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 7 + 9 - (-3 + -1 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.04177\nAnswer: -0.008354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 + 2*n + 3 + (3*n + n - 3*n)*(0 + 1 - 7) + (4 + 0 - 6)*(2*n + 5 - 5) as a*n + f and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11455006 (base 7) in base 11?\nAnswer: 638a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2608443 by -869481.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 80 = -65. Suppose n*h - 25*h = 0. Put 2, 26, h in increasing order.\nAnswer: h, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 + 6623*j**3 - 175377013*j**2\/4 - 526608003*j\/2.\nAnswer: -j*(j - 13249)**2*(j + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -40*a + 169. Let l be c(4). Solve -2*b = -3*s - 2*s - l, -2*s - 21 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14266, 28506, 42742, 56974?\n\"Answer: -2*o**2 + 14246*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 41 - (-68 - -123)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**3 + 515*i**2 + 77*i + 794. Give f(47).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -24, -13, 18, 75, 164, 291?\n\"Answer: u**3 + u**2 - 13*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 7*i**2 - 4*i + 7. Let o be r(5). Let b = o + -21. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 7*t**5\/20 + t**4\/12 + t**3\/6 - t**2\/2 + 2*t. Calculate x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 8:42 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2569835*n - 2569835*n - 5*n**2 - n**2. Let m(u) = -547*u**2. What is m(o(w))?\nAnswer: -19692*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -19, 3 in increasing order.\nAnswer: -19, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 491*o + 8570. What is s(19)?\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 9:56 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2 - 7 - 2) + (741 - 718).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27, 30, 33?\n\"Answer: 3*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4032 and 768.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -h - 27, 3*h = 5*h - 2*l - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 - 22*t**4 + 70*t**3 - 50*t**2 = 0. Calculate t.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j + 224. Suppose 0 = -4*g + 4268 - j. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 + u + 6. Suppose -c + 2*c + 4 = 0. Let t be s(c). Put 1, -2, t in decreasing order.\nAnswer: t, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 4\/3*b**2 - 1\/3*b**4 + 0*b - 19 + 4\/9*b**3. Find t such that s(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51057316 is divided by 981871?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3*c + 4*c)*(-4 + 43 + 47)*(3*c - 3*c - 2*c).\nAnswer: -344*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*u = 4*l - 29, -5*l = -2*u - 280. Suppose -l = -5*k - 24. Solve k = -4*w + 7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-5*3\/((-60)\/(-8)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (537\/(-358))\/(-7*(-8)\/784)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25*(36\/175)\/((-818)\/2863)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 + (815\/(-35) - -4). Let i = 19 + m. Suppose -207 = -3*h + x + 118, 5*h + x - 531 = i. What are the prime factors of h?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49737.\nAnswer: 3, 59, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6525 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 11, 121 in decreasing order.\nAnswer: 121, 11, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29066?\nAnswer: 2, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + q - q + (4 + 3 - 5)*(-3*q - q + 2*q))*(-424 - 334 + 351) as p + s*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 9*y - 50. Suppose -5*n = 2*h - y, -4*n + 2*h = -23 + 3. Suppose -5 = -5*w + n. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) -10 (d) 1978\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-14)*192\/(-160)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t + 2. Let q(d) = -d - 5 + 1 - 6*d. Let z(b) = 5*m(b) + 2*q(b). Give z(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -8, -5, 4, -1, 9, -124 in decreasing order.\nAnswer: 9, 4, -1, -5, -8, -9, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -3*x + 99 - 46. Solve -5*k - 2*s + 7 + 18 = 0, 2*k - x*s + 4 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*m + 20 = 0, 3*z + 6*m = 5*m + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 7*k**2 + k + 9. What is the smallest common multiple of 7 and v(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.0000085 - -38. Round h to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 i when four letters picked without replacement from {i: 4, l: 10}?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*a + 67 - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2024 divided by 40959.\nAnswer: -2024\/40959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259016 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.074798 and -3.\nAnswer: -0.224394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12588)\/9)\/((-220)\/66) + (-2)\/(-5). Is d less than 419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 19*h - 4. Let m be s(-19). Let y be m\/(-8)*40\/2. Suppose 6*i + 516 = y*i. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-1529)\/110)\/(5\/((-90)\/(-27)))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14628044 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 5 in decreasing order.\nAnswer: 8, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:51 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 63*s**2 - 79*s + 1090. Let w be v(64). Calculate the greatest common factor of 2704 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -602682777 = -602682780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 15, 37, 50, -1, -21 in descending order.\nAnswer: 50, 37, 15, 0, -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98669242.\nAnswer: 2, 7, 19, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 41 (b) 14 (c) -2\/15 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1421262 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-413)\/6*57\/(-19). Calculate the remainder when 167 is divided by -2 - h\/(2 + 5).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 493001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 14 + 66 = 0. Is o smaller than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j**3 + 28*j**2 - 9*j - 5. Let d(p) = -11*p**3 - 24*p**2 + 7*p + 6. Let r(v) = -7*d(v) - 6*t(v). Give r(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + m**2 - 49*m**4 + 23*m**4 + 3*m**2 + 10*m**4 - 72 to r*m**4 + d + k*m**2 + v*m**3 + n*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 35. Let f(y) = y**2 - 13*y + 2. What is the least common multiple of f(14) and (-1 + 0)*(-2 + c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40576 and 2853?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -6\/7, -1\/10, 1, -618 in increasing order.\nAnswer: -618, -5, -2, -6\/7, -1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -26. Suppose -7*w + 3*w - 8 = 0, w = -o*j + 1048. Suppose -j = -2*r - 5*h + h, -h = 1. What is r rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*j = 6*j + 15, -10 = -5*l - 3*j. Suppose l + 3 = -q. Let a(p) = -p - 4. Let t be a(q). Let g(h) = -1. Let w(s) = s + 3. Calculate t*g(i) + w(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 95*z = -106*z - 86, 13 = -r - 3*z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 443, 444, 445, 446?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207386 and 215938?\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**5 + i**3 - i**2 + i. Let w(g) = -406*g**5 + 6*g**3 - 7*g**2 + 267*g. Let n(z) = w(z) - 6*x(z). Find the third derivative of n(l) wrt l.\nAnswer: -22920*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10242 - -10244. Suppose 4*t = 4*a + 5 + 3, 0 = a - 3. Solve -3*u = f - 2*f + l, -3*f + t*u = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + s + 888 = 2*s + 905, 0 = -5*a + 3*s - 4*s - 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8934801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*c + 328, -4*v - 171 = -c - 19. Let m be (8\/c)\/((-1)\/(-6)). Solve 0*g + 0 + 2\/7*g**2 + m*g**4 + 4\/7*g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17877.\nAnswer: 3, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 11:17 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11677 - -42476. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -476*-10*(-34)\/(-9520).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 43. What is the closest to -3\/4 in c, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 10 = -4*p. Let j(k) = 85*k**3 + k**2 - k - 2. Let a be j(-1). Let o = -72 - a. What is the remainder when o is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((46\/(-19))\/(472\/(-2242)))\/((-1)\/(-2)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24235.\nAnswer: 5, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*76.7.\nAnswer: -4218.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 77033 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**3*t))\/t**(-1))\/(t**(-1)\/t**(1\/14)) assuming t is positive.\nAnswer: t**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 97*o + 481. What is the tens digit of x(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akjxkkcckcakkckckrkk. What is prob of sequence rakx?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 225033 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12023003331 + -1?\nAnswer: 12023003330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 8*c + 4. Let s be n(8). Let j(a) = s*a**2 + 3 + 0*a**2 + 4*a - 2*a**3 + 1. Let f(t) = 4*t**3 - 9*t**2 - 9*t - 9. Calculate -4*f(z) - 9*j(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.8 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 30*i + 2. Let l(o) = -60*o - 1394 + o**4 + 1389 + 0*o**4 + 5*o**2. Let d(a) = 2*l(a) + 5*q(a). What is the second derivative of d(h) wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 - 18783\nAnswer: -18782.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36901262 to the power of 1\/2, to the nearest integer?\nAnswer: 6075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3 (c) -0.07 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1131 + 1136.73. Let j = b + -4. Let y = j + -1.8. What is y rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*w - 6*r + 99, 0 = 5*w - 5*r - 125. Suppose -b = -0*b - 4*d - w, -3*b - 4*d + 20 = 0. Let s = b - 5. Is 7 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**8\/56 + z**5\/10 - 11*z**2. Find the third derivative of x(p) wrt p.\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -27*q**3 - 3*q**2 + 22*q - 145. Let a(i) = 7*i**3 + i**2 - 5*i + 36. Give 9*a(d) + 2*c(d).\nAnswer: 9*d**3 + 3*d**2 - d + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1)*14\/(-14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -426 - -435. Suppose 35324 = 3*z - 4*q, 2*z - 11*q = -d*q + 23552. Round z to the nearest 100.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.20717785674724 - 0.3\nAnswer: -0.50717785674724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 285*d + 114*d - 5906 - 2074 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 2243804\nAnswer: 246818.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (133 - 144) + (-3 - (-3 - -8) - -76 - -4).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i - 17 = 3*o, -5 = -o - 2*i. Let h be (-3)\/(((-27)\/6)\/o). Which is smaller: -4\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -10) + (-2 - -2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 13, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*h + 8 - 4, -5*m + 2*h - 26 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-16921510.\nAnswer: -355351710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 983 = -1113 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6787*c = 6779*c + 168 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = -5*x + 3*x, 0 = 2*t - x - 17. Suppose -r + 10 = -0. What is the remainder when t is divided by ((-8)\/(-10))\/(2\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 9 = -1. Let j be 1\/x*(-48)\/6. What is the second biggest value in -2, j, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/44 - 38\/(-8). Let t = -32 - -70. Suppose -i*g + 272 + t = 0. List the prime factors of g.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - -4.93. Let j = -1698 + 1779.1. Let g = j + -81. What is the closest to g in -1\/6, -0.4, t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319263431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -7.8?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221100210012 (base 3) to base 10.\nAnswer: 499208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 24*d**2 + 84*d - 87. What is w(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -375, -688, -1083, -1566?\nAnswer: -2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20334.91 + -20266. Round p to 0 dps.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117.53 - -1.53. Let w = 116.5 + d. Is 0 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/7 - 452376*v\/7 - 51161011344\/7.\nAnswer: -(v + 226188)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0101433 rounded to 4 decimal places?\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 38 = 4*y, 0 = 2*y - 3*m - 4 + 26. Let z be (-20)\/y*(-36)\/10. Is (15\/z + 2)*633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - f = 13, 5*b = -1737*f + 1734*f - 18. Sort b, 2, -48, 20 in descending order.\nAnswer: 20, 2, b, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*u + 3 + (0 + 0 + u)*(3 + 1 - 5) - u + 0*u + 3*u - 2*u + 0*u + 0*u + 2*u - 3*u + 0*u - u + u + 2*u - 4 + 4 - u - 1810 + 1810 + 270*u.\nAnswer: 267*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 958?\nAnswer: -955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -32. Suppose q = -4*k - k. Which is smaller: k or 2\/135?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 179*l**3\/3 - 225. Let m(i) = -i**2 + 3*i. Let u(d) = 2*d**2 - 4*d. Let r(j) = -4*m(j) - 3*u(j). Give t(r(p)).\nAnswer: 716*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3*j = 18, 15 = -5450*l + 5456*l - j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/7 = 9.68665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 550 - -1401?\nAnswer: 2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -98. Let f = 62 + g. Which is smaller: f or 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 14. Suppose o + 4 = -3*o. Let z = 2 + o. Is z != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*y + 93*y - 86098 + 12610 = 0. What are the prime factors of y?\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 11, 0, 21, -2 in increasing order.\nAnswer: -2, 0, 9, 11, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001001111 - 100101000100110?\nAnswer: -101101001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7776\/594 - (216\/(-33))\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 40 = -28*r. Solve 4*o + 5*c = 35, 3*c = 3*o + r*c - 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 + -19. Let k = -81 - -86. Suppose f - 4*f = k*b - 67, 5*f + 2*b = s. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16221, -16225, -16229, -16233, -16237?\nAnswer: -16241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 6*(4 + -3). Let d(a) = -2*a**2 + a + 41. Let v be d(j). Solve 0 = 3*p + 6, -v*u - 5*p = 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/168)\/(9\/2082). Let t = -8\/21 - j. Find the common denominator of 67\/10 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + 1 - (-1 - (31 - 54))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w + 4. Let k(f) = -16*f + 115. Suppose 4*u - z - 27 = 0, -4*z + 5 = -4*u + 29. Let c be k(u). Let o(s) = -14*s + 7. Calculate c*o(a) - 5*g(a).\nAnswer: -7*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*p = 22, -4*j + 29 - 7 = -3*p. What is the units digit of -15*2\/(-15)*(56 + j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, 31, 4, 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4875181 + 223?\nAnswer: 4875404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2. Suppose -4*x - 8 = -a - 2*x, 5*a - 5*x = 20. Let u(y) be the first derivative of -11\/3*y**3 + 0*y + a*y**2 - 4. Calculate f(u(j)).\nAnswer: 121*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 14 = 2*a - 3*a, 2*a = -y + 10. Calculate the smallest common multiple of y and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**35\/(w*w\/(w**(4\/25)*w)) assuming w is positive.\nAnswer: w**(854\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -865 by 1.\nAnswer: -865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240670 and 272823512?\nAnswer: 1364117560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -7. Suppose -3*q - 24 = 4*j - 7, 15 = -4*j - 5*q. Let v = 0.8 - 1. What is the nearest to v in j, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7062147.\nAnswer: 3, 87187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001111110 (base 2) to base 8.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from nnnmmnfmfmn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -288?\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 + -9) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5*-1 + (-160)\/(-32))\/6. Are 4\/203 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = -0*o - 573966. Let l = 1466711\/46 + o. What is the common denominator of -127\/6 and l?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d + 5. Let l(h) = 5*h - 5. Let i(r) = 4*l(r) + 6*z(r). Let j(y) = 11*y - 7. Let q be -1 - -9*(-10)\/(-15). Calculate q*i(k) + 7*j(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 44 and 1295821.\nAnswer: 1295865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvpsvsspspsvpp. Give prob of picking 4 v.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13158 = -4*x, 3*j = 6*j - x - 7899. Is ((-51)\/(-9))\/(2\/(j*1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {d: 1, p: 7, m: 2, z: 2, u: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, 71, -4, 3, -1 in increasing order.\nAnswer: -4, -1, 1, 3, 14, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -202221211210 (base 3) in base 7?\nAnswer: -3335424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j - 1. Suppose -q + 6 = 1. Is 11 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9)**5*k**(-3\/20)\/k*k\/((k*k**(3\/2))\/k) assuming k is positive.\nAnswer: k**(867\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002122 (base 3) in base 9?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/2 - 259813*q**4 = 0.\nAnswer: 0, 519626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3049 + 3049. Let a be (-1)\/9*7 + 1. Let m = 1.1 - -2.9. What is the second biggest value in m, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.25 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from evqveveeqvepeevpqnv.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*d = 17625 - 17433 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -3*n**5\/20 - 34*n**2. Let l(o) = 0*o + 0*o + 2*o**2. Calculate l(v(b)).\nAnswer: 162*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(44) + sqrt(44) + -2) - (2 + (sqrt(11)*1*3 - sqrt(11))))**2.\nAnswer: -16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 544 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/9 - 296*r**2\/9 - 11242*r\/9 - 21316\/9 = 0. Calculate r.\nAnswer: -73, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -347 and -320 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a7 + -9?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9377\/7 - -1350953\/1008. What is the common denominator of -97\/432 and d?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:48 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15104003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**4 + 21828*h - 91389.\nAnswer: 4*h**3 + 21828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 684\/(-190)*1\/((-4)\/(-10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(729) - -5*sqrt(729)*-3)\/(sqrt(9)\/sqrt(3)*-4 + sqrt(3) + sqrt(30)\/(sqrt(10) + sqrt(30)\/sqrt(3))).\nAnswer: 3 + 252*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 213770.1 months in years?\nAnswer: 17814.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5518 - 5521. Which is the second smallest value? (a) -0.01 (b) -144 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 5*b**2 + 5*b + 4. Let c be t(-4). Let z = 1 + c. Solve 0 = -3*q + y - 3, q - 4*y - 9 - z = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*o + 189 - 4473 = 0 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.39 + -0.390116. Round t to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.042897 hours in microseconds?\nAnswer: 7354429200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 2836493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d\/(d**(-8)\/d)))*d*((d\/(d*d*d*d**12*d))\/d)\/d*d*d**(1\/10)\/d*d**(-12) assuming d is positive.\nAnswer: d**(-179\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 97*n**2 + 8*n**2)*(-2*n + 0 + 0)*(-2*n - 2*n + 5*n).\nAnswer: 176*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 583, 1879, 3899, 6655, 10159, 14423?\n\"Answer: 2*f**3 + 350*f**2 + 232*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/26 - 14\/91. Let i = s + 4. Factor 2 - 4*n - n**3 - n**i + 5*n**3 - n**4.\nAnswer: -2*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 + -67. Let n be ((-24)\/m)\/(3\/2). Which is the third biggest value? (a) 1 (b) 7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2458 = 3*i - 3*g + 451, -5*g = -4*i + 2669. What is the remainder when i is divided by 179?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367975 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 4. Let f(x) = 5*x - 5. Determine 5*f(g) - 6*o(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964475411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 - ((8 - 4) + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = p + 17, a - 3*p - 21 = -4*a. Let t be 2\/(-6) + 68\/6. Let n(u) = 9*u - 108. Let r be n(12). Solve r = -3*g + 5*h + 16, -3*g - a - t = h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -126987, -126942, -126897, -126852, -126807, -126762?\n\"Answer: 45*y - 127032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324841199.\nAnswer: 324841199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.9 - 9. What is the second smallest value in 0.2, 3\/2, -0.03, j?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*w + 337*w**3 - 2 + 345*w**3 - 687*w**3 wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a2ae5d + -3?\nAnswer: -2a2ae61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 8:23 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.976 and 50.\nAnswer: 798.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*d = -12, 2*i - 9 = -3*d + 2*d. Let s = -1 - -1. Suppose i*r - 43 - 74 = s. What is the remainder when r is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 + -71. Let v = 8 + t. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 13. Let r be k(11). Let j(m) = -4*m**2 + m**2 + 5*m**r. Let p(t) be the second derivative of t**4\/4 + 6*t. Determine j(p(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 4:39 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 171. Let o(f) = -21*f**3 + f**2 + 2*f + 2. Let b be o(-2). Let c = b + m. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14364239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -39. Let z = o - 14. Suppose 0 = -8*n + z*n. Which is bigger: n or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 17*x + 8, 0 = 2*j + 4*x + 115 - 117 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 36489.60397 to the nearest 10.\nAnswer: 36490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250 - 130 - 120 + 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 >= 419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47315619.\nAnswer: 3, 13, 283, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3 + p**2 - p. Let o be k(1). Suppose -o*a + 15 = 71. Let d = a + 19. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.4, -4\/9, 152\/9769?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 554154496, 1108308978, 1662463446, 2216617894, 2770772316, 3324926706, 3879081058, 4433235366?\nAnswer: 4987389624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2054 + -2049. Sort a, -24, -2, 1 in descending order.\nAnswer: a, 1, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/12 + i**3 + i**2 - i. Let y be o(6). Suppose -76 + y = -l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k**(-3\/13)\/k*k*k))*k)\/(k**(-20)\/k) assuming k is positive.\nAnswer: k**(309\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 - 2*p + 14 + 33 + (5 + 0 - 3)*(-4 + 4 - p).\nAnswer: -4*p + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = d + 2905, -4*d + 1455 = -2*z - 5*d. Let n = -723 - z. Factor 2\/7 + 12\/7*j**n + 2*j.\nAnswer: 2*(j + 1)*(6*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-20))\/((16\/(-10))\/4). Suppose 5*c - 3*c - 37 = -a*k, 4*k = 5*c + 80. What is the greatest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33988 is divided by 9974.\nAnswer: 4066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2345618*b**3*q**2 - 6*b**3*v + 15067*b**2*q*v - 30*b**2*q - 5*b**2 + 2*b*q**2*v wrt b.\nAnswer: 14073708*q**2 - 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 13*r = -40, -c + 506 - 502 = 5*r for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 656, -103, -83 in descending order.\nAnswer: 656, -83, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1383177 and 2.\nAnswer: 2766354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 9*l - 5*h + 25 = 0, -10 = 3*l - 2*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223878*y**3 - 10*y**2 + 3126440*y wrt y.\nAnswer: 1343268*y - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x + x)*(-x + x - 2*x) - 2*x**2 + x**2 + 0*x**2 + (-1 - 2 + 5)*(-6*x**2 + 3*x**2 + x**2) + x**2 - x**2 - 2*x**2 + 0*x**2 + 0*x**2 + 2*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.6 + 13. Let g = -3 + -1. Let i be 2\/8 + (0 - 0). What is the second smallest value in w, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.01 + 0.05?\nAnswer: 52.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -5*t + 776. Let b be 50\/225 + (-10)\/t. Let c(z) = z - 4. Let s be c(4). Which is bigger: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 47896826*y. Let n(h) = -4*h**2. What is l(n(c))?\nAnswer: -191587304*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 2 - -3) + 437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Suppose w = -a + 15. Suppose 5*k - 119 - 106 = 0. Calculate the highest common factor of w and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1558764 > -1558766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/9))\/(j**34*j)*j**(-33)*j**1)**(12\/13) assuming j is positive.\nAnswer: j**(-2380\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 4*o + 1 - 6*o - o**2. Let d be z(-1). Let u(t) = -6*t - 1. What is u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/80 - -33\/80. Let n = b - 1\/8. What is the third biggest value in -5, 1\/2, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, -31\/39, 2\/11, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1845963.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5677 - -4a4c?\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337266 is divided by 107.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3133194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.1, -5, -4, -1272.2, 0, 6, -1\/12?\nAnswer: -1272.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*h + 37*h + 47*h + 55*h.\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -246*g**4*v + 17641*g*v - 4302*v + 2353 wrt g?\nAnswer: -984*g**3*v + 17641*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/252*(-2)\/(-5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8682 - -8678. What is the nearest to 1 in d, 241, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/82)\/(((-2)\/20)\/((-2304)\/320)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16596, -66403, -149436, -265713, -415252, -598071, -814188?\nAnswer: -1063621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1060*z - 97. Let y(h) = -530*h + 53. Give 6*x(s) + 11*y(s).\nAnswer: 530*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 21. Let s be p(-16). Let g be 4 - (-21)\/3 - 1. Suppose 3*h + g = s*h, 0 = -2*m + 5*h + 69. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21991 (base 13) in base 12?\nAnswer: -2b33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 8*r + 16. Let v = -2861 + 2855. Calculate z(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let s(q) = 13*q**2 + 5. Calculate r(s(u)).\nAnswer: 26*u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/((-8)\/36). Let l be c*(2 - (-15)\/(-9)). Is ((-1)\/l)\/((-7)\/(-917)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 37199865?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -2 + -3*sqrt(200) - sqrt(200))**2 - (sqrt(200) + sqrt(200)*-2 + 4).\nAnswer: 130*sqrt(2) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + 65. Suppose -3*v = -8*v + w. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001058 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u = 36*u + 78 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*d - 12, 5*n = d + 9 + 6. Suppose 5*p + 205 = n*g + 49, 0 = 2*p - 2*g + 60. Let o = p + 50. What is the greatest common divisor of 85 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.922777 minutes to seconds.\nAnswer: 55.36662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8298 divided by -18?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:12 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 107, 334, 777, 1508, 2599, 4122?\n\"Answer: 12*q**3 - q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*c**4 - 4325*c**3 - 4500*c**2 + 6900*c + 2240 = 0. What is c?\nAnswer: -112\/9, -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -20. Is -1 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 35092*f\/3 - 307862116\/3.\nAnswer: -(f - 17546)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 435626107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1117415 + 42014646\/88275785. Let d = m - 6\/79. Is d <= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/176 and 111\/308.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**3 - 4*w**2 - 2*w + 5. Let n be c(3). Let k = 64 - n. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-6))\/((-105)\/(-108) - 1). Let f = -18 + u. Suppose f = 6*k - 35 - 25. Solve 3*r - r = k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11506 and 312.\nAnswer: -11194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(22\/4)*3520\/(-2560). Suppose 0 = 3*v - 5*c + 4, -c - 2*c = v + 6. What is the second biggest value in b, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -101. Solve 2*n - 4 = s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 + 0.1206?\nAnswer: 133.1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 2*y + 4. Let d be j(-3). Let w(h) = -h**3 + 28*h**2 - 66*h + 25. What is the tens digit of w(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 28, -16, 76 in descending order.\nAnswer: 76, 28, 1, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -84*b**3 + 13*b**2 + 34*b - 4. Is z(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1261 - -1925. Suppose -10*y + q = -416. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.06 + -15. Let b = m - -0.02. Let t = -2.928 - 0.072. Put -1, b, -3\/4, t in ascending order.\nAnswer: t, -1, -3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(45\/2)\/(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22778 is divided by 1896?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5\/((b**(2\/5)*b)\/b)*b**(-4\/7)\/(b**(2\/5)*b)*(b*(b\/b**(-1\/4)*b*b)\/b)**(-24\/5)\/((b*b\/(b**(-1\/3)\/b)*b)\/b*b**(-1\/3)) assuming b is positive.\nAnswer: b**(-559\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 - 4. Let i(l) = -4 + 6 - 392*l**2 + 390*l**2 - 1. Give 2*g(r) + 7*i(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 10*d - 54. Suppose 17 = d*a - 1. Suppose -l = -4*j + a*j - 24, 0 = -l + 5*j + 44. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d - 47. Let x be j(7). Let n be 5\/2*(x + (5 - -2)). Solve -n*i - 4*m = -34 + 13, 0 = -5*m - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -400 + 1115 + 2*k - 1387*k**2 - 1338*k**2 + 3823*k**2 - 1468*k**2 with respect to k.\nAnswer: -740*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123550033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 5:22 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((420\/(-8))\/7)\/((-2)\/48). What is i rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {f: 1, i: 1, l: 2, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/((-1)\/(-2) - 1). Let u(d) = 2*d - 3. Let y be u(4). Suppose y*m = -w + l, 0*w - 8 = 2*w. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 + 3.06. Let t be 2\/(-3) + 4252\/60. Let d = t + -70. What is the nearest to 2\/3 in d, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6414 and 85884529.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.8 - -38. Let j = s + -7.2. Which is the third biggest value? (a) j (b) -1 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 36 + 48. What is the smallest common multiple of k and 6 + -1 - -1 - -10?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-117*q + 117*q - 140*q**2 + (0*q + 0*q - 2*q)*(1 + q - 1) + 1 - q**2 - 1)*(1 + 1 + 0) as c + f*q**2 + w*q and give f.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/4757 + -242671\/76112. Find the common denominator of f and 77\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -9 - 11. Let c(w) = -30 + 4*w - 3*w - 3*w + 32. What is c(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l*l**(-2\/7)*l)))**(-16)*(l*l\/(l*l\/l**(-5)*l)*l)\/(l\/(l*l\/(l\/(l\/(l\/l**(5\/6))))*l)) assuming l is positive.\nAnswer: l**(-613\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 23*u**2 + 2. Let a be h(-23). Let d(n) = -6*n**3 + 8*n + 12*n**3 + 10*n**a - 5*n**3 + 5. Does 32 divide d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*t**4*y**3 + 18*t**4*y**2 + 303*y**3 wrt t.\nAnswer: 24*t**3*y**3 + 72*t**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n + 35 = 36*n. Suppose 17*r - n*r = 40. Let w(j) = -j**3 - 6*j**2 + 5*j - 9. Let a be w(-7). Solve a*o + 5 = -r*f, -o + 10 = -3*o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13031.966 + -13007. What is y rounded to zero dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-21)*(11\/(-21) + 11\/(-77)). Suppose 2*l = 5*l + 9. Which is the closest to d? (a) l (b) 1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -37 + 46 + -15.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxmxmxxxm. What is prob of picking 1 x and 3 m?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32592 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l + 37. Let t = -3711 - -3714. Give q(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2404244.97 rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0.0580244.\nAnswer: -0.9419756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.4 + -20. Let z = m - -0.6. Let w = -3 - z. Which is the third biggest value? (a) 3 (b) w (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4330 = -9*z + 4103. What are the prime factors of z?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76571185 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35821984\/1431 - -25033. Let v = -1\/53 + h. What is the common denominator of v and -41\/21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -17. Suppose 4*w + 2*x + 6 = -0*w, 5*w - b = 3*x. Suppose w = 2*f + 389 - 1003. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 + (-24)\/(-9). Suppose 4 = -5*w - 3*j, -5*w + j - 2*j = -l. Let c = w + 5. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 - 4*i**2 - 2*i**3 + 3*i**2 + 38*i**4 + 6*i + 3*i**2 - 37*i**4 - 63 to d*i**3 + a*i**4 + n*i + h + b*i**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514 less than or equal to 2515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0.3. Let c = 105 + -96. What is the biggest value in x, 1\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 4*k**3 + 3365*k**2 - 3391*k**2 + 1 to q + i*k**3 + v*k**2 + l*k and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5836673 (b) 2\/5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -167*k**3 - 32*k - 77. Let l(x) = 55*x**3 + 10*x + 26. What is -16*l(i) - 5*r(i)?\nAnswer: -45*i**3 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 6*t. Let c = -7 + 12. What is the remainder when l(-4) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 3*s**3 + 5*s**3 + (2 - 2 + 2*s)*(-s**2 - 2*s**2 + s**2))*(49 - 18 + 5*s**2 - 33).\nAnswer: -10*s**5 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y = 114 - 64. What is the nearest to y in -0.04, 4, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 4*b**2 - 3*b - 2. Let a be (-120)\/(-8)*2\/6. Give d(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.757926t in kilograms?\nAnswer: 6757.926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36806, 34828, 32850, 30872, 28894?\nAnswer: 26916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8346161, 8346156, 8346151, 8346146?\nAnswer: 8346141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1122 and 6919.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1025, -4012, -8997, -15986, -24985?\n\"Answer: -r**3 - 993*r**2 - r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30229.\nAnswer: 19, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11130849*u**2 - 23074089?\nAnswer: 22261698*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1.6, 719, 0.32, 0?\nAnswer: 719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118441003 to the nearest integer?\nAnswer: 10883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -555, -2739, -6377, -11463, -17991?\nAnswer: -25955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 6. Let l = 62 + -249. Let v = 188 + l. Is n > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.11 - 1.57. Let v = -0.74 + c. Put -4\/9, v, 59\/9 in increasing order.\nAnswer: -4\/9, v, 59\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:23 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*v = 3*k + 2, k = -3*v + 11. Let x be (-2)\/k*(-12)\/(-2). Solve -s + x*s + 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 33 = -61. Suppose -5*u = -a - 23, -3*a = -0*a - 3*u + 9. Let s = a + d. Solve 3 = -s*p + 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (1 + sqrt(3) + 3)) + sqrt(300) + 0 + sqrt(300))**2.\nAnswer: -160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10*j**2 - 28*j. Let m(r) = -3*r**2 - 8*r. Let p(k) = 4*h(k) - 14*m(k). Let v(t) = -35*t**2. Calculate v(p(o)).\nAnswer: -140*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 14. Let n be v(-11). Let u(c) = -c**3 + 4*c**2 + 10*c - 9. Let x be u(6). What is the units digit of n\/(-6)*x*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + 3)*(-1)\/(-3). Solve -j*g - 4 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5422.134*-178\nAnswer: 965139.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c5 - -11?\nAnswer: 4d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 80\/25)\/((-1)\/(-5)). Suppose -22*w + 4*u + 540 = -20*w, 3*u - m = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (9 - 4 - -1)) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(40)\/sqrt(8) + (sqrt(5) - ((1*(sqrt(80) + sqrt(5)))**2 - sqrt(5))) + (0 + (sqrt(125) + sqrt(125) + 2)*3)**2.\nAnswer: 358*sqrt(5) + 4411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 3*g + 1. Let f(l) = -454*l**3 - 70*l**2 - 86*l + 28. Let m(r) = -3*f(r) + 84*x(r). Find the third derivative of m(n) wrt n.\nAnswer: 8172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - 11\/(-4). Suppose -2*u + 0*u = -3*g + 7, -g + 8 = 5*u. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 9.1. Let w = -11 - t. Let r = -3.0000004 - w. Round r to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -44 + 105 + 5*i - 33 - 3*i - 36. Let b(m) = -m + 1. Determine -14*b(y) - 2*q(y).\nAnswer: 10*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byyb when four letters picked without replacement from {b: 5, y: 14}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 26425 = -16035. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98730*r**3\/11 - 197458*r**2\/11 - 98726*r\/11 + 2\/11.\nAnswer: -2*(r + 1)**2*(49365*r - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - t + 5*t + 1733*t**2 - 63*t**3 + 0*t + 1.\nAnswer: -63*t**3 + 1733*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0356 rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(1 - 1 - 4*p)*(2*p**2 + 0*p**2 - p**2).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 25 = -5*b. Let o be (-26)\/b - (-4)\/(-14). Let n = -24 + 29. Sort o, -3, n in descending order.\nAnswer: n, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 4. Let m be 4\/(-14) - 774\/(-63). Suppose p - 14 + m = 0. Suppose -z - 4*c - p = -18, -4*z = -5*c + 41. What is s(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o - 3. Let j(q) = 11*q + 3. Calculate 5*j(z) + 6*m(z).\nAnswer: -5*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1111915 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 236 - 144. Let q be g\/48 + -1 - (-1)\/(-6). Which is the nearest to 0? (a) q (b) 0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3180 is divided by 2265.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 2, d: 3, b: 3, f: 6}. Give prob of picking 2 f and 2 c.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3\/17 - 78*u**2\/17 - 1014*u\/17 - 4394\/17 = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 100\/30*6\/(-5). What is the third smallest value in -0.04, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(136)*-1 + sqrt(136)*-1*-2)\/(sqrt(72)*-1 - (sqrt(72) + -1*sqrt(72))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - -9.92. Which is the third biggest value? (a) i (b) 0 (c) 4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3364976*w**4 - 3033285*w**2 wrt w?\nAnswer: 80759424*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 11*k - 12*k - 293, -733 = -5*i + 3*k. Calculate the remainder when 2480 is divided by i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 17*n**4 + n + 0*n**4 + 1 + 0 + n as y*n**2 + b + t*n**4 + f*n + l*n**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + r**2 + 16*r + 9. Let h = -25 + 15. Is u(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130959 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 492.5396 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-594))\/((-4872)\/(-1827))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1753 - 1750. What is the closest to -3 in c, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cma when three letters picked without replacement from {c: 2, a: 2, y: 1, q: 2, m: 1, g: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531 = 138*l - 129*l. Solve -2 = l*n - 57*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21654628399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 4*v, 2*v + 0*k = -4*k + 22. Suppose 3*q - 7 = 4*x, -12 - 3 = -v*q. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -f. Let g(h) = h**2 - 6*h + 6. Let o be g(6). Suppose 0*t = t - o*t. Solve -r - 2 = f*d, 5*r + d + t*d = 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**36*o))\/o**(-3\/4) assuming o is positive.\nAnswer: o**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 16. Let a(y) = 4*y**3 + 3*y**3 + 2 - 7*y + 0*y**3 + u*y**2 - 6*y**3. What is the units digit of a(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142.5*2\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-492*h - 447*h + 937*h + 44 + 244)*(-7*h**2 + 7*h**2 + 10*h**2) in the form c + f*h + y*h**3 + d*h**2 and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4879174591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22319, 21791, 20907, 19667, 18071, 16119?\nAnswer: 13811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45048.25 years in centuries?\nAnswer: 450.4825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 423, 831, 1475, 2433?\nAnswer: 3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 5*j - 7, -4*j + 1 = 4*x + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0183*-5.\nAnswer: 0.0915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3 + 2, -5*k - 9 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153613 - 1?\nAnswer: -153614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w + 3. Let q be p(3). What is the common denominator of (-26)\/q - (2 - 1) and (-1)\/(-2)*-1 + (-1264)\/(-192)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 - (-4 - (-2 + 0))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-344)*(-8)\/10\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 (base 15) in base 12?\nAnswer: b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29624 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23480 * 6.71.\nAnswer: 157550.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98463.54ng in grams?\nAnswer: 0.00009846354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11821 divided by 43\nAnswer: 11821\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -29*(0 - 3\/(-1)). Let l = -138 - o. What is l rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + j - 40. Let d be i(6). Suppose c = d*c - 5*c. Solve c = -r + 6*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 408542*g**3*l**5 + 4*g**3 - 58*g - l**5 - 9216*l wrt l?\nAnswer: 8170840*g**3*l**3 - 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -19. Let i = -9 - -17\/2. Which is the nearest to i? (a) 1\/4 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -5041*k**7\/42 + 1633*k**6\/5 + 141*k**5\/5 + 2*k**4\/3 - 544*k. Solve z(d) = 0 for d.\nAnswer: -2\/71, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*20\/5 - (3 - 182). Suppose -a = -4*i + 3*b + 78, -5*b = -3*i + 193. What is the smallest common multiple of 126 and i?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/7 + 4768*x**2\/7 + 14286*x\/7 = 0. What is x?\nAnswer: -2381, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19114.\nAnswer: 2, 19, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c - 2. Suppose -5*z - 10 - 18 = -c*t, t + 3*z = 7. Sort 0.1, -4, t, -0.01.\nAnswer: -4, -0.01, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1225, 1220, 1215, 1210, 1205, 1200?\n\"Answer: -5*q + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625065241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (984 - 979) + 60\/1425*(-470)\/4\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3715*h**5*w - 105*h**3*w**2 + 3692*h**2*w**2 - 2*h**2 + 10*w**2 wrt h?\nAnswer: -222900*h**2*w - 630*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.26, 0.1, 1\/3 in descending order.\nAnswer: 1\/3, 0.1, -1.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - b - 22 = -2, 2*m - 5*b - 31 = 0. Let n = 51 + -71. Let z be (-2)\/10 + 36\/n. Sort m, -5, z in ascending order.\nAnswer: -5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -55, 324, 7, -4, 3 in descending order.\nAnswer: 324, 7, 3, -3, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/8*1*36. Let g = 25 - s. Let p be (-120)\/12*g*4000. Round p to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2301, -3, 16 in decreasing order.\nAnswer: 2301, 16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 89920 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*u = 10, -5*v - 3*u = 1 - 7. Suppose v = -291*n + 282*n + 36090. What is n rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -4 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 263201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51\/(-9) + (-14)\/(-21). Sort -6, 0, m, 4.\nAnswer: -6, m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 - 13*j - 32. Give i(-5).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -40\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jslbs. What is prob of sequence ljb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a - 1. Let x be u(3). Suppose b - 26 = -5*l, -28 = -2*b - 4*l + 6. What is the highest common divisor of x and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 6*w = -42. Let l = 249 - 251. Let h = l + w. What is the lowest common multiple of 20 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(15) + sqrt(15)*2) - sqrt(45)\/sqrt(3)*3)\/((sqrt(50) + sqrt(300)\/(sqrt(12)\/sqrt(2)))\/sqrt(10)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 5*r - 4. Let w be s(3). Is 308\/8 - (-1)\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -1. Let h = -92496\/5 - -18500. Put h, -50, a, -2 in ascending order.\nAnswer: -50, a, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Let t = 236\/15 - 46\/3. Is t less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.70256202 to three decimal places.\nAnswer: 2.703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*c**3*h*t + 2*c**3*t - 4575*c**3 - 2*c**2*h - 13*c**2*t - 2*c*t + 2*c - 63*h*t - 1 wrt c.\nAnswer: -198*h*t + 12*t - 27450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = -4. Let v(m) = -24*m**n + 92*m**2 - 5*m + 4*m. What is the remainder when v(1) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, -11, -58, -141, -266, -439, -666?\n\"Answer: -c**3 - 9*c**2 + 17*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 79*r - 11. Is d(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 820, -5\/17, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7729 + 7729 - 301*b**2)*(3*b**2 - 3*b**2 + 6*b**2).\nAnswer: -1806*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -1213?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9284 + 9282. What is the biggest value in -2\/15, -2\/7, s, 1010?\nAnswer: 1010","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 74997*m.\nAnswer: m*(m - 74997)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*x - j, 2*x - 53 = -5*j - 46 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from frrrffffrfffrryfff?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 1764*f**5 - 2329908*f**4 - 12139160*f**3 - 2248816*f**2 - 106080*f = 0.\nAnswer: -5, -2\/21, 0, 1326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1047241*y + 1047261*y - 2094507*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 12, h: 1}. What is prob of sequence thw?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 421987 (base 13) in base 16?\nAnswer: 17978b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/((-40)\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1010?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -160 - -997?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/23 (b) -1\/4 (c) 0.2 (d) -0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6576663l?\nAnswer: 657.6663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*t**3 + 29*t**2 + 3*t**4 + 0*t**4 - 34*t**2 - 55*t**3 in the form k + b*t**4 + a*t + p*t**3 + i*t**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - m**2 - m**2 + (3 - 5 + 3)*(-2*m**2 + 2 - 2))*(7*m + 3*m - 4*m)*(-1 - 6 + 1).\nAnswer: 216*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 12*d**3 + 2*d**2 - 3. Let t(h) = 22*h**3 + 5*h**2 - 5. Calculate 5*f(o) - 3*t(o).\nAnswer: -6*o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 greater than -113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f**3 + 1540*f**2 - 14144*f + 3440 = 0. What is f?\nAnswer: 1\/4, 10, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1088*h**3 - 3*h**2*v + 5*h**2 + 4*v - 4897 wrt h.\nAnswer: 3264*h**2 - 6*h*v + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 8. Let v = -10 + 4. Let n = v + 8. Which is the closest to -0.4? (a) n (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -6) + -4 + -18 + 94 + -14 + 4?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c + 2*c**5 + 3*c**5 + 0*c - 8*c**5 wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 3\/82 (b) 75 (c) 163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -153736*s - 753. Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c. Let x(j) be the third derivative of 19*j**4\/24 + 43*j**2. Let g(h) = -9*f(h) - 2*x(h). Let m(r) = 5*r. What is m(g(a))?\nAnswer: 35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3001 (base 4) to base 7.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to -1715537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1867 - 1521. What is the remainder when h is divided by 117?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -4 - -17) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 0.068 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 309232901743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/240 and 23\/183216?\nAnswer: 916080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g + 107. Calculate u(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -6, -19, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124220 rounded to the nearest ten thousand?\nAnswer: 1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-36)*(-137 + 143)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 19897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) 0.3 (c) -101\/5 (d) -1620 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 283531177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -203*h**2*l**3*t**2 + 312574*h**2*l**3 + 197*h*l**3*t - 382*h*l*t**2 - 441*h*l wrt h?\nAnswer: -406*l**3*t**2 + 625148*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3057862 milligrams in micrograms?\nAnswer: 305.7862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 771*t + 6777*t + 4647*t + 6664*t - 220*t + (2 - 3 - 1)*(-4*t + 4*t - 2*t) + 2*t - 2*t - 2*t as f + i*t and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1812 = -4*c, 4*p + 0*c = 2*c - 1830. Let a = p + 789. Suppose 2*j + 119 = -2*q + a, 3*j - 289 = 5*q. List the prime factors of j.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1954208*v**2 - 7287*v + 34.\nAnswer: -3908416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 151*y. Let r(p) = 13530*p**2 + 7*p. Calculate x(r(j)).\nAnswer: 2043030*j**2 + 1057*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 409 + 5 = 0. Suppose -2*x + 736 - p = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17245785 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + s. Let y(m) = -2*m**2 + m. Let b(a) = -6*y(a) + 7*z(a). Let u be b(-2). Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:12 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 39046771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**2*t - 2598*h**2 - 5*h*t + 25776*t wrt h?\nAnswer: -8*t - 5196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkxkkkkrkkrrk. Give prob of sequence rkkk.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:00 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 7) in base 13?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/96 and -67\/40?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1590*p + 1594*p = 32. Solve -5*d - 4*a + 7 = 0, d - 8 = -p*a + 5*a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - t - 1. Let y(f) = f**2 + f. Let h(q) be the first derivative of 5\/2*q**2 + 7*q - 11 + 1\/3*q**3. Let b be h(-3). What is b*c(p) + y(p)?\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17607837, 35215673, 52823509, 70431345?\nAnswer: 88039181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 5*b + 1. Suppose -12 - 4 = 4*y. Does 5 divide x(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 36\/11, 0.433, -17?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/4 - 7*s**3\/2 - 3*s**2 - 3*s. Let c be w(9). Suppose 51*h = 47*h + c. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**3 + 10*q**2 + 10*q. Let w(r) = 4*r**3 + 5*r**2 + 5*r. Let p(g) = 3*o(g) - 5*w(g). Let k(f) = 3*f**3 + 18*f**2 + 18*f. What is -5*k(l) + 18*p(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z + 45. Let p be v(5). Suppose m - 5*s + 8 = p, s - 7 = 3*m. Which is the closest to m? (a) 5 (b) 1\/6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*z**3 + 81*z - 81*z + 233*z**3 - 2 + 70*z**3.\nAnswer: 229*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h - 293 + 293 + 2*h. Let b(u) = -2*u**2. Calculate j(b(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*a = -37. Let l = a + 39. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*k + 2*k + 163, -5*k - m - 403 = 0. Let j(d) = -d**3 + 3*d**2 - 1. Let u be j(2). Find the common denominator of 35\/4 and (294\/k)\/(u\/(-4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(35\/(-5) + 6). Let i be ((-1)\/f)\/((-4)\/(-40)). Solve 43 = i*w + 58 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71354 - 3?\nAnswer: -71357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3829*s**2 - 10. Let i(o) = -1285*o**2 + 3. Give -10*i(h) - 3*l(h).\nAnswer: 1363*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**2 + 18*r**2 + 130*r - 130*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-3\/2))*t*t*t)**12 assuming t is positive.\nAnswer: t**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1059 and -0.2.\nAnswer: -1059.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 43*m**2 - 2*m + 12. Suppose 2 - 9 = -5*h - 4*l, -4*l = 8. Is t(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.12 + 2.3. Let g = t - -3.82. Let r = -3 + g. Which is the biggest value? (a) 1\/6 (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by 24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 2*t**2 + t + 1. Let l(i) = -i**2 - 1. Let s(d) = 5*l(d) + w(d). Determine s(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455588 is divided by 53?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1425083210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 584641290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7171?\nAnswer: 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2607 and -0.2.\nAnswer: 2606.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4646, -11494, -18342, -25190?\n\"Answer: -6848*f + 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31252.14 - -31252. Let m = -333 + 4327\/13. What is the second biggest value in m, c, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 402907?\nAnswer: 8058140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.026 + 0.071. Let r = -0.044441 + a. Round r to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.71? (a) -104 (b) -2 (c) -15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6045 = -2*b + b, -3*b + 4*s = 18116. Let i = b + 60487\/10. Calculate the common denominator of i and -11\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28926950 divided by -3029.\nAnswer: -9550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*j**2*v**4 + 14*j**2 + 15*j*v**5 - 2*v wrt v?\nAnswer: 108*j**2*v**2 + 300*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2867568 and 161\/90.\nAnswer: 43013520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgzggggjgzjugguuzuug. Give prob of sequence jggu.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 12*t**2 - 29*t + 1. Determine g(16).\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 9. Calculate the remainder when t is divided by (-1)\/(-1 + (-44)\/(-48)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 7) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 289 + 58 = 0. Suppose 3*u - 671 = -167. Calculate the highest common factor of u and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131416 at least -131423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 68085524?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by -1\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 8. Suppose -4*q - 2*j = -0*j - 6, -4*q - j + h = 0. Solve -3*v + 30 = q*r, -r + 4*v = -0*r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**6 - h**5 + 186110*h**3 - 844*h**2 + 218*h?\nAnswer: -360*h**3 - 60*h**2 + 1116660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 18*k = 130. Solve 0 = 9*i - k - 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((2 - (27 + -16)) + (0 - -2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12ec9b + -6?\nAnswer: 12ec95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 169.4 * 1\nAnswer: 169.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l - 6*l)*(-3 + 2*l + 3*l + 4).\nAnswer: -35*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from uuuuujsuusuuuj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z**2 - 9*z - 26. Let r(x) = 16*x**2 - 18*x - 49. Let u(k) = -5*j(k) + 3*r(k). Let i(o) = -2*o**2 + 2*o + 4. Calculate 9*i(t) + 2*u(t).\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 1. Let z be w(1). Factor 7*l**4 - l + 0*l - l**2 - l**4 - 5*l**4 + l**z.\nAnswer: l*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1580988 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/9)*m**(-3\/5)*m\/(m*m**(-8))*m*m*m\/m**7)**(2\/161) assuming m is positive.\nAnswer: m**(296\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**2 + 4*h**2 + 31 + 4*h**2 - 29 wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 3*r + 3. Let a be z(3). Suppose 5 = -2*d - a*d. Let o = 0 + d. Which is bigger: -1\/4 or o?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*s**5 + 26*h*s**3 + 5*h - 49*s**5 - 2899*s**2 wrt s?\nAnswer: -60*h*s**2 + 156*h - 2940*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 497*i. Let v(d) = 1283*d**2. What is r(v(y))?\nAnswer: 637651*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 15747.39.\nAnswer: -3149.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqqbqqqvbvvbq. Give prob of sequence bvbv.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4869 - -0.0831. Round i to 1 dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:13 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/821310 and -57\/7280?\nAnswer: 85416240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**3 + 3*w. Let a(i) = -5*i**3 - 2*i. Give -3*a(p) - 2*s(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 143721 + 143721 - 494*l**2 + 0*l)*(-3*l**3 - 2*l**3 + 2*l**3).\nAnswer: 1482*l**5 + 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let l(b) = 6*b - 5. Let x(m) = j(m) - l(m). Let n be x(7). Suppose -4*k = n - 32. Solve -r + 20 = r + 4*z, 3*r + z = k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 249850.1 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -12926\/83, 0.34, -0.2, -0.1 in increasing order.\nAnswer: -12926\/83, -0.2, -0.1, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6 + (-966)\/(-4). Let x = 88 + q. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose 0 = -0*k - c*k + 18. Suppose -11*r + 24 = -7*r. Calculate the remainder when k is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3244, -5263, -13770, -22277?\n\"Answer: -8507*x + 11751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, z: 4, d: 1, v: 2, q: 2, s: 2}. Give prob of sequence svm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - u. Suppose 5*f + w + 4*w - 25 = 0, -2*w = -10. Let m be q(f). Which is the nearest to m? (a) -3\/5 (b) 0.5 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**3 + u - 2. Let c be m(1). What is the remainder when 12 is divided by (6\/c)\/(4\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/2783652 and -7\/463942?\nAnswer: 2783652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 770.562 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 3*p - 6*y, 4*p + 47*y = 44*y + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3287 is divided by 175.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114783, -2, 5, 37 in ascending order.\nAnswer: -114783, -2, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2708\/28434*-6*1\/(-4)*-1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, 5, -31\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.9. Let o(d) = d**2 - 13*d - 3. Let r be o(13). Let f be 3\/(r\/2) - 44\/(-33). What is the nearest to y in f, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 1\/2*n**4 + 0*n + 6\/25*n**5 - 1\/5*n**2 - 5 + 2\/15*n**3. Find w, given that h(w) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102.0029*0.4\nAnswer: 40.80116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 122 = -q. Suppose 4*w - 255 = q. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -12, -135, 4 in decreasing order.\nAnswer: 4, -12, -87, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 269?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 1. Let y be 109\/2 - (-7)\/(-14). What is the highest common divisor of k and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 640c7d + -3?\nAnswer: 640c7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 65838904 and 0?\nAnswer: 65838904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 4. Suppose 0 = -14*c + 29 + 27. Let a(p) = p**2 - 2 - 2 - 1. Determine c*a(b) + 5*k(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 25. Solve -2*s - 2 = z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2256 = -15*j - 6*j - 26*j. Let v(o) = o**2 + 4*o + 3. Let i be v(-5). Let p be (12\/j)\/(13\/i). Which is the second biggest value? (a) 2 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -5. Let r = 3.8 + w. Is 0.1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10 - 6\/15. Sort l, -10, 1\/3 in ascending order.\nAnswer: -10, l, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(-2*k**2 - 18 + k**2 + 23) as a + w*k + v*k**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 9 - 10. Let f be ((-7)\/(-21))\/(r\/6). Let a(c) = 5*c**2 - 3*c. Calculate the remainder when 26 is divided by a(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8231707 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-140)\/(-24)))\/((-156)\/(-84))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**31*v**(1\/6)*v)\/(v**(4\/25)*v*v**14) assuming v is positive.\nAnswer: v**(-6599\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.18285 - -18.678. Let x = a + -0.2948. Let l = 0.8 + x. What is l rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.9 and -1668648.\nAnswer: 4839079.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 15*h + 4. Let u be c(5). Does 11 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26+-285109179413\nAnswer: -285109179387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 420581 - 420581.0251607. What is h rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4 = -3*n - 10, 0 = -5*n - 3*i - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 5*t**2 - 29*t**2 - 5*t**2 + 4*t - 6*t**3. What are the prime factors of i(-7)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**3 + 3*c**2 - 3*c**2 + (2*c**3 + 3 - 3)*(-1 - 1 + 1) + 2*c**2 + 5*c**3 + c**3 - 7*c**3 in the form y*c**3 + u*c**2 + i*c + p and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -0.3 (b) 152\/25 (c) 4 (d) 2 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*q - 21, -90 = -4*h + 4*q + 26. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(25\/(5\/1) - 4). What are the prime factors of (s - (-99)\/(-9))*43\/(-2)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h*h**(-4\/3)\/h)**(31\/2) assuming h is positive.\nAnswer: h**(-217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 71280000 to the nearest one million.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -767\/4 - -192. What is the second biggest value in o, 0.3, 5, 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8459505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = -2*b, -4*b - 18 + 4 = 3*j. Suppose 0 = -f - 2*a + 4, 0*f = j*f + 5*a - 9. Suppose 9*v - 22*v**2 + 25*v**f - v + 4 = 0. What is v?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1244088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + n**2 - 3*n**2)*(-12*n**2 + n**3 + 12*n**2) - 1 + 2*n**5 + 1.\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j + 220. Calculate g(25).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12336778?\nAnswer: 2, 439, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*l**3 - 58\/13*l - 40\/13 - 20\/13*l**2.\nAnswer: -2*(l + 1)*(l + 4)*(l + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = 39*s + 1019. Let r be (38\/2)\/(37 + s). Is r bigger than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = 0, g + 8 = 5*g - 2*m. Suppose 4 = 4*s, 4*a + g*s - 61 = 2*a. Suppose 3*r = a - 2. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99672637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 8*o**2 + 8*o - 1. Let y be u(-9). Let i be (-2)\/(-2)*y\/4. Which is the smallest value? (a) i (b) -16 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 4:41 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 0)\/((-21)\/156359) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -4, -0.1, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9 = 0, -6 = 5*j + 3*d - 22. Suppose 693 = j*x - 147. What is the greatest common factor of 42 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 - 221*r**2 - 3*r + 7. Let y(k) = 6*k**3 - 662*k**2 - 8*k + 19. Give -8*t(d) + 3*y(d).\nAnswer: 2*d**3 - 218*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(126) + (sqrt(126)*2 - sqrt(126)))\/sqrt(7).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 4, u: 2, s: 2}. Give prob of sequence wurr.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27\/10 - -67\/20. Let l = 3\/20 + o. Let f = -0.1 - -0.1. What is the closest to 0.1 in l, 1\/7, f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 4\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43024, 172272, 387676, 689230, 1076928, 1550764, 2110732?\n\"Answer: -l**3 + 43084*l**2 + 3*l - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -641627 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18274 - 18278. Sort 6, 0.33, 2, x, 3.\nAnswer: x, 0.33, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/(-108))\/(2\/48). Let h(o) = -o + 10. Let g be h(7). Suppose 4*k = g*k. Solve -q = -3*s + v, 3*q + 6 + 0 = k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktnfynkygkynnkffyn. Give prob of sequence kytg.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k, 3 = 5*f + 2*k - 18. Suppose -3*x + 15 = 2*x. Differentiate 0*o**2 - 3*o**2 - 2 + x*o**2 + 4*o**f wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 divided by -161?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163.419381 - -6117.\nAnswer: 6280.419381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23158581 + 4?\nAnswer: 23158585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 8*a**2 + 6*a + 8. Let j be c(7). Solve -2*i + 2 = -x, 4*i - 4*x - 7 = j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 497949867.\nAnswer: -497949867.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403 (base 5) in base 8?\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -669721 and 4.\nAnswer: -669717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:06 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 2*w**2 + 0*w**2 + (0*w - 2*w + 0*w)*(0*w + 0*w + w))*(142 + 28*w**2 - 142) - 15 - w**4 + 15.\nAnswer: -141*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 0 + 0 + -2. Suppose 12*z = 15*z - 9. What is the second derivative of 0*t**3 - 4*t**3 - h*t + 2*t**z + t wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67920, 1, 10, -1.\nAnswer: -67920, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3281663 to the nearest integer?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y - y)*(-y + y - 2*y**4) - 5*y**5 + 4*y**5 + 3*y**5.\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/6 + 8*s. Let b(p) = 11*p**2. Calculate b(h(d)).\nAnswer: 44*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28035.\nAnswer: 3, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20166347 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 72*k**2 + 647*k - 60. What is v(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9097 or -8931?\nAnswer: -8931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1509 * -1.5.\nAnswer: 2263.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 285.00000876 - 285. Round r to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 17. Suppose -s + 0*x + 10 = l*x, -4*x = -5*s + 12. Solve -s*u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/39)*p)**(-3\/13)\/(p**(-21\/4)*p*p**40*p) assuming p is positive.\nAnswer: p**(-24991\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-9)*v\/(v\/((((v**9\/v)\/v)\/v)\/v)*v))\/(v**(-3)\/(v*v*v*((v\/v**(-2\/13))\/v*v)\/v*v)))**(-14\/9) assuming v is positive.\nAnswer: v**(-392\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22*(-57)\/418)\/129.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-16) - (-5)\/(-36)*-2. Let l = 0.08 - 0.28. Which is the third biggest value? (a) -3 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 5 in decreasing order.\nAnswer: 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -0.57.\nAnswer: -11.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/595 - 593\/1190. What is the nearest to -88 in -1, w, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141160 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**3 + 7*p**2 - 16*p - 23. Let k(b) = 3*b**3 - 4*b**2 + 8*b + 12. Let l(d) = -2*j(d) - 5*k(d). Give l(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282624 and 19872.\nAnswer: 2543616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/20*-48*4\/12. Solve z - h = -j, -63 = -4*z + 3*j - 52 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -11, 278, 3 in ascending order.\nAnswer: -11, -3, 0, 3, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -275*i**6*k**2 + 46*i**6*k + 38*i**2*k - 129*i*k**2 wrt i.\nAnswer: -33000*i**3*k**2 + 5520*i**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -42494*7\/70*-5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42510 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - 2*sqrt(152) - sqrt(152)) + sqrt(152) - sqrt(152))*-2)\/(sqrt(648)*5).\nAnswer: 4*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2829172 is divided by 28869?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-2)*10\/5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + i - 4*i - 867 = 0, 0 = 5*u + 2*i - 1424. Suppose -2*x = 9*x - u. Calculate the smallest common multiple of x and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8186 > 8185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -411107*a**2 - 220*a - 266*a + 411114*a**2 in the form b*a + m*a**2 + q and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-6)\/(-27)) + -76. Let s = k - -86. Solve 2*v + 2 = -2*r - 2*v, -s = 3*r + 2*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 2*j**2 - j + 7. Let r be l(3). Suppose 0 = r*n - 4*n - 45. Is 6 a factor of n\/(-10)*0 - -70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 12. Calculate the remainder when (-3)\/(-6)*120\/1 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 -12410, -5465, 6114, 22327, 43174, 68655?\n\"Answer: 2317*r**2 - 6*r - 14721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i**2 + 3. Let o be w(-2). Let y = o + 61\/2. Let k = -41\/45 + 7\/9. What is the second biggest value in 1\/2, y, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 801 - 801 + 7580*c**2.\nAnswer: 7580*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3439165 by 5.\nAnswer: -687833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20128 - 20130. Let v = -10 + 6. Which is the closest to 1\/9? (a) s (b) v (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11264703661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2920*r**2 + 2920*r**2 - 7*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 7\/20 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/2)\/((-33)\/44). Factor -2\/9*x**3 - 4\/9 + 2\/3*x + 0*x**y.\nAnswer: -2*(x - 1)**2*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/27)\/(16\/(-6))*87792\/(-16461).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 2*u - 4. Let y be z(-7). Let b = y - 26. Suppose 4*a + a = -b. Are 1 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 37. Let j be 2 + (-3)\/6*-4. Suppose -j - t = -3*n. Solve -15 = 3*k + 5*m, -18 = 5*k - m + n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + q - 2)*(2*q - 2*q + 2*q) + (q + 3 - 3)*(-2*q - 4*q + q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/84*-6*(13328\/(-1176))\/((-2)\/3)\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8776596?\nAnswer: 2, 3, 31, 23593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 - 5*w**3 - w**3)*(0 + 0 + w) + (2*w - 6*w - 7*w)*(10 - 10 - 24*w**2)*(1 - 2*w - 1).\nAnswer: -530*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13 - (-3 + 3 + 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-160)\/12))\/((-39)\/1170)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -0.3, 1\/9, 3.\nAnswer: -3, -0.3, 1\/9, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 772, -6, 4 in descending order.\nAnswer: 772, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1 - 2*v**2 + 2*v**2 - v**2 - 5*v + 0*v**2. Let h be i(-4). Which is bigger: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 = -6. Let g = -256 + 259. Sort -5, 1, o, g in increasing order.\nAnswer: -5, o, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.22 + -7.3. Let x = 0.38 + n. What is the nearest to 5\/2 in x, -0.3, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.1. Let h be 4\/26 + (1344\/(-91))\/(-8). Which is the closest to v? (a) -0.4 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, m: 1}. Give prob of picking 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 130?\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1040 and -107\/160940.\nAnswer: 643760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 2*o - 1. Let v be m(0). Let y = -23\/121 - -1\/121. Is v greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011220 + -120121201212?\nAnswer: -120120112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2210, 8931, 20212, 36095, 56622, 81835, 111776, 146487?\nAnswer: 186010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j - 10. Let h be b(2). Solve -2*f = -f + 2*o + 9, -6 = -h*f + 4*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 4050.\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764359963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4583 and -13186101537.\nAnswer: -13186106120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3463 + -2?\nAnswer: 3461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2021941414 - -2021927923.10987. Let h = u + 13491. Let z = -0.11 + h. What is z rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437801713 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(12)\/sqrt(3) + sqrt(4))\/(sqrt(2) + sqrt(100)\/sqrt(2)))**2.\nAnswer: 49\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -760?\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -9. Suppose 0 = y*n + 2*w + 6, -n - 2*w - 18 = -7*w. Is 5712\/36 + (-1)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/2 + 33\/14. Let o = 10\/21 + h. Let -2\/3*n**2 + 0*n**3 + o*n**4 + 1\/3 + 0*n = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-26\/3)\/q*q**10*q**(5\/4)*q\/(q*q\/(q\/(q\/q**(-35)))*q) assuming q is positive.\nAnswer: q**(-413\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237117?\nAnswer: 3, 79039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 144. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 + 9192968*j\/3 + 6128644.\nAnswer: (j + 2)*(j + 9192966)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 16, c: 2}. What is prob of picking 1 f and 1 c?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2 - 8. Suppose -t = 4*z - 10. Let x = 2 - 1. Is x smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 2*g + 0*g + (-5*g + 5*g - 2*g)*(-5 + 0 + 4) + (-3 - 3 + 7)*(0*g + 3*g - g) - 185 + 185 + 21*g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4458, -31368, -104392, -246588, -481014, -830728, -1318788?\nAnswer: -1968252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 8*k**3 + 7*k**3 - 10*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-3.1\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 422, -6, -5954?\nAnswer: -5954","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y - 2. Let o be 30\/9*(-3)\/(-2). Suppose o = 2*g - 1. Calculate the remainder when q(g) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*b + 3. Suppose 0 = f - 5*r + 10, f = -f - r + b. Let z be (1 - 1) + 3 + f. Solve z*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a171 (base 12) to base 5.\nAnswer: 130431324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/35)\/(1\/(-5)). Suppose 0 = 4*o + 4*y - 7*y + 4, z*y = 5*o + 5. Put o, -2, 0 in decreasing order.\nAnswer: 0, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5*p + 3*p + 2, -4*m = -5*p - 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, s: 1, k: 2, m: 2}. What is prob of picking 1 c and 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 - 2*o + 5. Let q(r) = -3*r**2 + 2*r - 4. Give 2*b(y) + 3*q(y).\nAnswer: -y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 5*v + 3. Let q(m) = m**2 - m - 1. Let i be (92 + -125 - 3*-5) + 15. Let u(h) = h**2 - h - 1. Let z be u(0). Give i*q(f) + z*t(f).\nAnswer: -5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4664 and 115328.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*n - 4 = -30*n - 586 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 10*j = -30. Suppose -3*t = -0*t - 33. Let w(n) = 2*n**2 - 3*n + 2. Let u be w(2). Solve -u*r + t = -j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.780529 weeks?\nAnswer: 4705663939200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -15*c**3 + 4*c + 5. Is 12 a factor of u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 8*w**2 + 4*w + 10. Let t be q(8). Let u = t - -63. Calculate the highest common divisor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58*a**2 + 21 - 278*a**2 - 43 - 55 + 31*a**2 wrt a?\nAnswer: -610*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -29*b**2 + b - 2. Let d(p) = -2*p**2. Determine c(y) + d(y).\nAnswer: -31*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32 (b) -0.2 (c) -0.5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 6*r - 2. Let a(u) = -7*u**2 + 24*u + 9. Calculate -2*a(d) - 9*c(d).\nAnswer: -4*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 4*v**2 - 160 - 134 - 212.\nAnswer: 4*v**2 - 506","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -13 + (-1 - 8\/(-8)). Sort -3, -11, v, -2, 2 in decreasing order.\nAnswer: 2, -2, -3, -11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1120.5 and -0.083?\nAnswer: -93.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16632036 divided by -212?\nAnswer: 78453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5550874?\nAnswer: 2, 7, 17, 83, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:53 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 6:40 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1009410, -1009397, -1009382, -1009371, -1009370, -1009385, -1009422?\nAnswer: -1009487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*y**2 + 3*y + 2 - 49*y**2 - 35*y**2 - y**3 + 4*y + 60*y**2 to the form m*y**2 + a*y**3 + n + l*y and give m.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -438, -3105, -5758, -8391, -10998, -13573, -16110, -18603?\n\"Answer: n**3 + n**2 - 2677*n + 2237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2436085.16 to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35699160 to the power of 1\/2, to the nearest integer?\nAnswer: 5975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 8*o**2 + 8*o + 10. Let c be v(-7). Suppose -2*z + 35 = -n, -c*z - n + 55 = z. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/28973 and -27\/41390.\nAnswer: 289730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m**4 + 5*m**3 - 36*m**2 - 5. Let x(r) = r**3 - r**2 - 1. Let q = -71 + 70. Let z(l) = q*t(l) + 5*x(l). Find the third derivative of z(y) wrt y.\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 12 - 2 + 4*n**2 + 26 - 24*n = 0. Calculate n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 15 = 4*x + p, x - 6 = 2*p. Let d be x\/6 + (-4)\/(-3). Suppose -d*h = -0*h + 2. Is -2 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 3:54 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-11 + 13)) + 38 + 1 + -1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*y + 2*q + 12, -2*q + 1792 = 4*y + 1798 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 14 = -14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 - 7*d - 2. Let k be o(-6). Suppose h - 5 = k. What is the highest common divisor of h and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 0*c + c**3 + 3*c + 39*c**3 - 3*c + 10*c**3 - 46*c + 46*c + (-c + 4*c - 6*c)*(0*c**2 + 2*c**2 - 4*c**2) to b*c**3 + o*c**2 + y*c + a and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - -0.3. Suppose 67*j - 64 = 63*j. Let x be (-6)\/j*8\/12. What is the nearest to x in -4, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from ntowumtmwwt.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 6*d**2 + 2*d - 6. Let p be u(6). Is 93\/9 + 4\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/17)\/d*d**(-1\/2))\/(d**(-1\/8)\/d**6))\/(((d\/d**(1\/2))\/d)**(-17\/2)\/(d**(5\/3)\/d**1)) assuming d is positive.\nAnswer: d**(881\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uto when three letters picked without replacement from otwuotl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 13*q**2 - 12*q + 6. Let k be m(-12). Solve 0 = -2*y - 4 - k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1456*q + 474*q + 17675 = -477*q for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + 0.2. Let x = -2560.0005 - -2561. Let i = p - x. What is i rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -154, -358, -644, -1012, -1462, -1994?\nAnswer: -2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14338 + 14341. What is the closest to 13\/11 in -5, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*a - 64, 41 = 2*j - 3*a + 5. What is the third derivative of 12*g**4 - 4551 - j*g**2 + 4551 wrt g?\nAnswer: 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*z**4 + g*z - 12*g - 4*z**4 - 171*z**3 + 7*z wrt z?\nAnswer: 24*g*z**2 - 48*z**2 - 1026*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-14) + (-50)\/(-210). Let z(b) be the first derivative of 1 + 0*b - b**4 + h*b**3 + 1\/2*b**2. Calculate z(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44265)\/(-6356))\/(-195)*525\/(-6)?\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + (-40)\/(-14))*93\/(-279). What is the nearest to 29 in 0, t, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*k + 37 = -5*y, -k + 65 = -4*y. Let g = y - -29. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Let x(w) = -1665*w**2 - 7*w - 1. Determine x(r(c)).\nAnswer: -1665*c**2 - 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**5 + 3*n**4 + 97*n**3 + 710*n**2 + n wrt n.\nAnswer: -180*n**2 + 72*n + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2532145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10640654 + 250?\nAnswer: -10640404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(175)*-2)**2)*2 + (((-6*sqrt(175) - sqrt(7)) + -4)*-6)**2.\nAnswer: 8928*sqrt(7) + 244142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10010111?\nAnswer: -10010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 12*w**3 + 2*w**2 + 25. Let i(k) = 28*k**3 + 4*k**2 + k + 49. What is -2*i(d) + 5*s(d)?\nAnswer: 4*d**3 + 2*d**2 - 2*d + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let l = n + 77. Suppose 0*x - 3*p - 49 = -5*x, -x - 5*p + 21 = 0. What is the greatest common factor of x and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-7)\/5)\/1. Let f = -361.5 - -362. Sort 5, k, f in increasing order.\nAnswer: k, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48952225363.0001423 + 48952223324. Let s = -2039 - a. What is s rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -192, 1584, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2268 + -2229. What is the greatest common divisor of 169 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116100 = -944*b - 853*b - 525*b for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.036, 2, 0.291, 5 in ascending order.\nAnswer: 0.036, 0.291, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/16*4\/3. Suppose v*d + 7 = 34. What is the remainder when 24 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20.096975 and -0.088.\nAnswer: -20.184975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -4, -2, -158, -3 in ascending order.\nAnswer: -158, -4, -3, -2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5555820*m**2. Let o(u) = u**2. Give k(o(z)).\nAnswer: 5555820*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a. What is the smallest common multiple of l(3) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-1160961\nAnswer: -1160961.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 8 - (-41 + 5 + 32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -151, -199, -343, -631, -1111, -1831, -2839, -4183?\n\"Answer: -8*j**3 + 8*j - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -760. Suppose -h = a - 2*a. Let u = a + -1463\/2. Find the common denominator of u and -70\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(325) - (2*((sqrt(325) - -2*sqrt(325)) + sqrt(325)) + sqrt(325))).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 20, 35, 56, 83, 116?\n\"Answer: 3*n**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2488*q**3 - 13*q**2 - 22268. Let i(u) = 1243*u**3 - 6*u**2 - 11135. Let o(m) = 13*i(m) - 6*y(m). Find the first derivative of o(x) wrt x.\nAnswer: 3693*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-1)\/(-2 - -12)). Let w(p) = -5 + 4*p - 2*p**2 - 5 + 11*p + 3*p**2 - 30. Is w(k) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1230 - 570 = -4*a. Let f = 79 + a. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 17*t - 9. Let o be g(4). Let v be (-5)\/(-1)*2\/5. Does 20 divide v\/o - (-15072)\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16580068 by -4.\nAnswer: 4145017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2886\/370)\/(-13))\/(2\/100*1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (7 - 88)) + -53 + 46\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 11. Let t = 29\/5 + y. Suppose o - 15 + 2 = -5*q, 0 = 5*o - 4*q + 22. What is the closest to -2\/7 in o, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(5 - 54\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5810272 to the power of 1\/2, to the nearest integer?\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = i, 2*i + 2 = -j + 14. Find p, given that -p**2 - 1 + p - 5*p + i*p = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 + 5 - 138*p.\nAnswer: -138*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2. Let y(q) be the second derivative of -5*q**4\/3 - 36*q + 1. What is w(y(b))?\nAnswer: 1600*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*f - 5, 3*z + f + 6 = -2. Let i = 13 + -12.8. Which is the fourth smallest value? (a) z (b) 2\/7 (c) i (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*c + 129, 0 = -39*r + 35*r + 4*c + 492. Calculate the greatest common factor of r and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:03 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(15\/(-48)) - 1\/5. Suppose x - 4*x - 3 = 3*n, 3*n - w*x = -3. Which is bigger: n or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 6 = 0, -10*f - 14 = -6*f - 3*u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 12 (b) -3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/8)\/(513\/2736)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*f - j, -f - 2161*j = -2163*j - 1 - 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 61. Let u(i) = 2 + 5*i - 4*i - i**2 - 3*i**3 - b*i. What is u(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 65, 135, 233, 359, 513?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1690759.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 2. Let y be m(7). Suppose y*n - d = 3*n - 2, -5*n = d - 9. Let u = n + 3. Solve -3*a - 1 = -u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 287 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95295 (base 13) in base 12?\nAnswer: 10b466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*r + 0 - 43*r + 0 in the form a + y*r and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86*w**2 - 56*w**2 - 102*w**2)*(-5*w**3 - w**2 + w**2).\nAnswer: 360*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h - 28. Suppose -t + m + 18 = 0, -64 = -3*t + h*m - 2*m. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7\/2)\/b**(6\/7)*b**(-1\/10)\/b*b**(-1\/4)*b assuming b is positive.\nAnswer: b**(-659\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34182531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1951657 is divided by 108425.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + 9*m + 1. Let p(i) = -i**2 - 7*i - 8. Let c be p(-5). Let s be 7\/(-1)*2\/(4\/c). What is the units digit of u(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.663 * 142\nAnswer: -94.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101101100 (base 2) to base 6.\nAnswer: -4020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148*k**5 + 5*k + 1 wrt k?\nAnswer: 2960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2606?\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**5\/60 + 3*s**2. Let b be 3*2\/6*0. Let w(l) = 0*l + b*l + l. Determine t(w(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1190 - 1188. Solve g + g = -z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -43?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 66954.5 to the nearest 100.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + f + 32 = 0, 0*r + 48 = 3*r - 5*f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14 - 1170\/(-273).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173821 is divided by 249?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30852 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:10 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5645 + -16.2185. Let g = 0.217 - x. What is the second biggest value in -3, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 8. Let m = 1.7 - -0.3. Let t = w + m. Which is the closest to t? (a) 5 (b) 3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 3 + (10 - -1) - 0) + 1 + 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2048, 4479, 6910, 9341, 11772, 14203?\nAnswer: 16634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1746811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.096 and -0.06.\nAnswer: 0.00576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/245)\/(6\/(-462))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 16*v**2 - 15*v - 34. Let z be g(17). Suppose a + 205 = 4*y, 4*y - 2*y - 5*a - 89 = z. Calculate the remainder when y is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, 3, 928675 in descending order.\nAnswer: 928675, 3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380445 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/1120*20*-21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -68. Solve a = 5*a - g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14841671 is divided by 873030?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327523 is divided by 1290.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743.4472 kilometers to micrometers.\nAnswer: 743447200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 82124856.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(6\/(4 - 1)). Let a(i) = -2 + y + 0 + 5*i + 3. Let c(u) be the third derivative of -u**5\/30 - u**2. Calculate a(c(d)).\nAnswer: -10*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 2 + 6*s - 6*s in the form a*s + k and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -10 (b) 6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 11*v**2 + 8*v + 22. Let c be o(-5). Solve z + 4 = -4*m + c*m, 0 = -3*z + m + 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by -3.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1588335.3 months to millennia.\nAnswer: 132.361275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1012201111221 (base 3) to base 8\nAnswer: -2351763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 77 + 24 - 15 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**5\/20 - x**4\/4 - 26*x**2. Factor t(g).\nAnswer: -3*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 79845.54ug?\nAnswer: 0.00000007984554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 22822*g + 775953. What is l(-34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = t - 54. Solve t*f - 2*f + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -2*n**3\/15 - 10*n**2 + 208*n\/5 - 4190. Let j(o) = 0. Calculate o.\nAnswer: -52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 329189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 - 23 = 0. Suppose -5*j + l*j + a + 5 = 0, -2*j - 19 = -3*a. Let g(w) be the second derivative of w**4\/12 + w**3\/6 - w**2 - w. Calculate g(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 823, 834, 859, 904, 975, 1078?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*s**4 - 8*s - 184*s**3 + 2*s**5 - 11 - 3*s + 184*s**3 wrt s?\nAnswer: 40*s**3 + 1584*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*l - 1 + 14007*l**2 - 7004*l**2 - 7005*l**2 to the form v + q*l + u*l**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.051475 + -6.87.\nAnswer: -6.818525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*k + 197, 0*k = 5*k - h - 209. Calculate the remainder when k is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 62*c**2 - 62*c**2 + c + 4*c**3 in the form f + q*c**2 + r*c**3 + n*c and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/(-51) - 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m + 33. Let v be i(10). Let k = 59 + v. Let t(a) = -a + 132. Let h be t(0). Calculate the highest common divisor of h and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 80\/32 - (2 + 5\/(-2)). Which is greater: d or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 202*b**2. Let q(f) = -1386745*f**2. Calculate n(q(d)).\nAnswer: 388458462395050*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 3 + 5 + 2*t - t - 1 + 1 + (t - 3*t - 4*t)*(-1 - 3 - 1) - 3*t + 0*t + 4*t to the form s + a*t and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-8) + 16\/(-64). Let l be 42\/(-56) - (-6)\/8. Is l at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71329.75576 to the nearest 10.\nAnswer: -71330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-6)\/(-2) - 5\/(-3) - 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 7) in base 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -926*(-7)\/(-70) - 4\/10. Suppose -6*w + 8*w = 462. Let q = k + w. List the prime factors of q.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 301 + -299. Find the second derivative of 80*o**5 - 5*o - p*o - 16*o + 148*o wrt o.\nAnswer: 1600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - 3*w**5 + 4*w**5 + (-3877*w + 161*w**2 + 3877*w)*(0*w**2 + 0*w**2 - w**3).\nAnswer: -159*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Let q be (3 - b) + (-29)\/(-1). Let d(s) = s**2 + 3*s - 3. Let n be d(3). Calculate the highest common factor of q and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -205, -203, -175, -115, -17, 125, 317?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + 16*x + 14. Let j(g) = -3*g**2 + 31*g + 28. Let a(f) = -3*j(f) + 5*u(f). What is a(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52.3 - 56. Let z = u + -0.3. What is the second smallest value in -3, z, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-38))\/((-15)\/20). Suppose -14*y + 10*y - 16 = 2*i, 11 = -4*i - y. Which is the second biggest value? (a) z (b) 1\/5 (c) i (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1696 rounded to three dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1045)\/(-76) + 1\/4 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 7584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - 0.899975. Round v to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 + -0.189051.\nAnswer: 32.810949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -3*q**5\/40 + 49*q**4\/24 - 61*q**3\/12 + 15*q**2\/4 - 17*q + 2. Let j(a) = 0. Calculate a.\nAnswer: 1\/3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.03 + -0.03. Let m = -136 + 135.9. Which is the second smallest value? (a) x (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426397978?\nAnswer: 2, 17, 137, 91541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*y + 12 = 0, -3*y + 5*y = -t - 8. Let i = 7 + t. Suppose -85 + 1336 = i*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(20)\/sqrt(4) - sqrt(5) - (sqrt(105)\/sqrt(3))\/sqrt(7)) + -4.\nAnswer: -5 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/(25\/(-42)). Let q = h - -251\/75. Let m = 9 - 14. Put m, -1, q in increasing order.\nAnswer: m, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 95 = 3*c - 4017, -2733 = -2*c - 3*g. Suppose 30*b = 13986 + c. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-40 + 4 + -11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = -0*d. Suppose -5*l + 169 = 3*u - 2*u, -4*u = -d*l + 83. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 948*n + 9 - 4.\nAnswer: 948*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19924, -19137, -18350, -17563, -16776?\nAnswer: -15989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 4 + 4)*(3*c + 0*c - 2*c) - 1 + 1 + 2*c**2 - 71 + 71 + 17*c**2.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/2)\/s**3*s**1*s*((s\/((s*s**(-6))\/s)*s)\/s)\/s assuming s is positive.\nAnswer: s**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12724036.2ns in days?\nAnswer: 0.0000001472689375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/((m**(-8\/5)*m)\/m))\/(m**1\/m)**(-2)*(m**2*m)**(-1\/97)*m**(5\/6)\/m**(3\/4) assuming m is positive.\nAnswer: m**(9617\/5820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) 0.3 (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 0 + 7 - 4 + 7 + 86*r**2.\nAnswer: 86*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 11:28 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3715 - -3722. Let b(f) = -3*f + 32. Let g(r) = 10*r - 97. Give k*b(p) + 2*g(p).\nAnswer: -p + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2008, -2013, -2028, -2059, -2112, -2193?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 5*d - 17. Let t(i) = 2*i + 9. Calculate 2*s(g) + 5*t(g).\nAnswer: 2*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/2, 0.3, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/5 - (-38)\/95. Suppose -z - 3 = -w*v, v - 4*z + 0 = -2. Suppose 5*p = 5*x - 5, -5*x - 6*p + 14 = -v*p. Solve -b + x*b - 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 661 = 811 - 674 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/84 and (-1)\/(-4) - -57*(-30)\/288.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 10*g - 5. Suppose -2*c + h + 2 = -g, -3*h + 9 = 0. Suppose c*o - 2 = 2*o. What is the least common multiple of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b**2 + 2*b - 1. Let k be j(1). Suppose -6*c + 16 + 2 = 0. Suppose -38 = -3*u - 5*v, 8 = 3*u - 2*u - c*v. Is k bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-6) - (-65)\/(-390). Solve 0 = r + t*y - 6, 5*y - 32 = -7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2084, 4282, 6588, 9002, 11524, 14154, 16892?\n\"Answer: 54*d**2 + 2036*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 31 = 29. Suppose -d*f = 4*c + 6, -13*f - 1 = 3*c - 11*f. Which is smaller: 4\/65 or c?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 32 + (88 - 89) + -2 + -2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (113\/((-302049)\/(-11907)))\/(2\/22*1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q*z**4 - 16*q*z**3 + 2*q*z**2 + q*z + z**4 + 18*z**2 wrt z.\nAnswer: 72*q*z - 96*q + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 823, 1633, 2443, 3253, 4063?\nAnswer: 4873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, j: 7, v: 1, p: 2}. What is prob of picking 1 s and 2 p?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (2 - -145) + (-9)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53708, 429821, 1450702, 3438737, 6716312, 11605813?\nAnswer: 18429626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t - 5. Let p be i(6). Suppose -3*r - p = -112. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 342*p**2 + 12996*p + 164616.\nAnswer: 3*(p + 38)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + (33 - (-11 - -44 - 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 378450 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 12*k**2 - 2*k + 26. Let u be x(12). What is the second derivative of -37*w**2 + 14*w**u - 3*w + 17*w**2 wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170 + 98. Is 2*7*p\/(-42) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuf when three letters picked without replacement from uuuffuuuufuuuuuu?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven fifths of a century?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 12}. What is prob of picking 2 o?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*d + 31 = 0, -78*h + 79*h - 3*d + 1 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2027142 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1040.4446 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*p - p. Let y(k) be the third derivative of -k**5\/60 - k**4\/8 + 5*k**3\/6 - 19*k**2. Let r(l) = 1 + 4*l - 2 - 3*l. Give p*y(t) + 5*r(t).\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8073 divided by 7?\nAnswer: -8073\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 + 3 = 0. Calculate the greatest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*r + 6. Suppose 3*u = r*u. Suppose u = -k - 3*k. Solve -4*j - 6 = -3*y + 2*y, k = -5*j - 2*y - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141534 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 5*v + 5. Suppose -5 - 20 = 5*p. Let n be s(p). Solve -o - d = -1, 2*o - d - n = -2*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/19)*f)\/(f*f\/(f\/(f\/f**(2\/23))*f))*(f**9)**(-12\/13) assuming f is positive.\nAnswer: f**(-46104\/5681)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 283*c**3 + 8*c**2 + 4*c + 244. Let w(u) = 283*u**3 + 10*u**2 + 5*u + 245. Let b(v) = -5*p(v) + 4*w(v). Find the first derivative of b(s) wrt s.\nAnswer: -849*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -128. Let f = o - 48. Let y(b) = b + 2. Determine y(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f13 + -10?\nAnswer: 7f03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m - 4*m + m**2 - 2*m. Let p be s(4). Find the first derivative of -20*a + 7 - 6*a**4 + p*a + a**4 wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527 not equal to 2553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*g - 4*v = -139*g - 1, 4*v - 20 = 0. Solve -u + 3*i = g - 21, -17 = -4*u + 3*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.45 - 0.05. Let x(l) = -l**2 - 2*l - 1. Let k be x(-3). Let o = k - -1. What is the second smallest value in n, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10857 and 281127.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7540.072 kilograms?\nAnswer: 7540072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p + 38*p = -20*p - 530 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/15*(6 - (-2079)\/(-7)). Which is the closest to w? (a) 2\/11 (b) -3\/8 (c) 3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 95 + 36?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r**2 + 7*r - 9. Suppose 4*j = -0*j + 24. Let f = 12 - j. Let m(i) = 5*i**2 - 4*i + 5. Give f*g(l) + 11*m(l).\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 9*h - 5*y = 14, -4*h - 3*y = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*d + 8, -3*n + 6*n = 2*d + 14. Let z = -6 - -9. Let o = n - z. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38774 = -3*q - 3*o + 38747, 3*o + 12 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013539 rounded to 4 dps?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 50*k + 6*k**2 - 55*k + 32*k in the form m + g*k**2 + n*k + f*k**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -0.44, 2\/549, 1 in increasing order.\nAnswer: -0.44, 2\/549, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 2*v**2 - 2*v. Let j be f(-2). Suppose -j*q + 7 - 79 = 0. Let d = q + 26. Calculate the highest common divisor of d and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -78184276*w - 21939861?\nAnswer: -78184276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 11:08 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 6*y**2 - 14*y + 62. Does 41 divide f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5524327985 minus -56?\nAnswer: 5524328041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3605 and 71190098.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 33 = -u. Let r(t) = t**3 + 15*t**2 - 16*t - 13. Let i be r(u). Let a = i - 180. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*d + 28 + 152. Let b(p) = -p**3 + 14*p**2 + 14*p + 19. Determine b(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*w = -6, 166*n - 5*w = 167*n - 40. Solve -n*d + r = -16, -9*r + 2 = d - 8*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 39*m + 11. Suppose 0 = -2*c - 2 - 10. Let w(j) = -10*j - 3. Let s(f) = c*d(f) - 22*w(f). Let r(x) = -x. Give r(s(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 plus -108.726?\nAnswer: -112.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39905 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -77368.2308 to the nearest ten.\nAnswer: -77370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 6. Let g(k) = -k**3 - 8*k**2 - 3. Let q be g(-8). Let c = q - d. Solve -3*t + 6 = 0, i - c*t + 4 = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36.4, -54, 5248?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + 6*d**2 - 19*d**2 + 2*d**4 + 2 as l + b*d**4 + t*d**2 + a*d**3 + n*d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 1:23 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*y + 3*y = -46, -z + 5*y = -4. Solve -4*n = 1 - z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -1 + 8 + -22 + 9 + (1 - 17).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078) + (-2*sqrt(1078) - sqrt(1078)))*-4)\/(sqrt(6)\/(sqrt(3) + sqrt(75)) - (sqrt(2) + (1*sqrt(20))\/sqrt(10))).\nAnswer: -336*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2583612 and 23994.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 - 3) - (-1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -420\/2032979 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -595208 and -595207 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1265 and 14789.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*i = 435 - 41, -532 = -4*j + 4*i. Let o = 922\/7 - j. Which is the nearest to -1? (a) o (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2427 = 13365. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**3 + 560*a**2 - 188*a + 203. Give n(93).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -22*d + 7. Suppose -5*f = -2*l - l - 32, 0 = -3*f + 3*l + 24. Let u be w(f). Let r = -24 - u. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -440 - -476 - 54\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 24*l - 21*l = -30, 32 = 2*f - 2*l for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {s: 2, n: 2, h: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 4. Suppose 0 = z + 2, 3*c - 8 = -0*c + z. Suppose 3 = -c*j + 3*j. What is a(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 25*x**4 + 95*x**3 + 13*x**2 - 3*x - 6. Let p(k) = 26*k**4 + 96*k**3 + 12*k**2 - 4*k - 8. Let d(y) = 3*p(y) - 4*v(y). Let d(r) = 0. Calculate r.\nAnswer: -4, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109\/496 + -271381\/1190896. What is the common denominator of 121\/140 and c?\nAnswer: 48020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h - 7850 - 7849 + 26*h - h + 15699.\nAnswer: 53*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2676, -5060, -7490, -9966, -12488, -15056, -17670?\nAnswer: -20330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 33.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*p + 3. Let j be 1\/2*0\/p. Suppose -1 = v - 3*o - j, 0 = -v + o + 7. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*124\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -54*g + g**3 - 49*g + 8*g**2 + 85*g + 11. Determine m(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.02 (b) -2\/9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(12\/(-21)))\/((-3)\/6*2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37557 - 2*y**3 + 17912 + 19645.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9930 <= 768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -40229946 divided by -20114973\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 3*m**2 - m - 9. Calculate t(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31293005897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1414 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-4)\/(-5 + 3). Let j = -5 - l. Suppose j*f = 5*f. Solve -p - 2*p - 6 = f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62 + 39*m + 62 + (-2*m - m + m)*(-1 - 5 + 4) + 1235 - 77*m - 1235.\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**4 - 260*s**3 - 2*s**2 - 19*s + 328 wrt s.\nAnswer: 72*s**2 - 1560*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -6*d - 90, 19 = -6*f - 5*d - 134 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(325)*1 + sqrt(13)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 10) in base 13?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29\/3? (a) 3 (b) 0.4 (c) -1 (d) 4\/9 (e) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 - (-5 + 1). Suppose 4*d + y = 7*d. Solve i = d*i + 5*v + 3, -2*v - 4 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -430, -865, -1300, -1729, -2146, -2545, -2920, -3265?\n\"Answer: j**3 - 6*j**2 - 424*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 15. Sort o, 2, 3 in descending order.\nAnswer: 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259588445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*n + 68, -3*n + 35 + 16 = 5*p. Suppose -n = -2*r - 5*u, -3*u = -3*r - u - 3. Is r greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276 and 18.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, e: 5, i: 3, n: 1, g: 2, b: 2}. What is prob of sequence nei?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 + 90*s**3 - 759*s**2 + 1260*s - 588.\nAnswer: -3*(s - 14)**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -2*d + 2, -12 = -d + 4*i + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 41. Suppose -7*k - 28 + 168 = j. Suppose -6*x = -3*x + 3, 5*o + x - 24 = 0. What is the highest common factor of o and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108)*4)\/(sqrt(9)*1*4) + 5.\nAnswer: -6*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 24 = -3. Let k(s) = 1 - d - 5*s + 0*s. Let i(u) = 6 - 4*u + 4 + 1 - 16. Calculate 6*i(b) - 5*k(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 + 1539*p + 85992\/7.\nAnswer: 3*(p + 8)*(p + 3583)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 7 + 0 - 3. Let w(z) = z**3 + 15*z**2 + 55*z + 14. Let k be w(-9). What is l(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 3*d**3 - 3*d**3)*(d**2 + d - 3 + 3).\nAnswer: 3*d**5 + 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27e - 3?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**2 + 261*n**2 + 8*n**2 + 114*n**2.\nAnswer: 372*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123504 is divided by 123344.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = 3*o - 9, 11 = 2*o + 3*i. Let h(p) = -p**3 + 5*p**2 - 6*p + 2. Determine h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 14*c**3 - 30 + 10*c - 7*c to the form a*c**2 + h + x*c + y*c**3 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22739511, 22739512, 22739513?\n\"Answer: c + 22739510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 43*q + 1. Let s be h(1). Let t = -42 + s. Solve -7*l + t*l = -5*d + 10, -4*d + 26 = 2*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + z**4 + z**4)*(2 - 1 - 2) + 0*z**4 - 2*z**4 + z**4 + (z - 4*z + 5*z)*(-2*z**3 + 0*z + 0*z).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41047 is divided by 40942.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2. Let y(z) = 36*z. Let t(o) = -o. Let h be 2\/7 - 5474\/(-49). Let m be 2\/((4 - 2) + 3\/(-2)). Let d(x) = h*t(x) + m*y(x). Determine w(d(u)).\nAnswer: -1024*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3878 - -3896. Calculate the smallest common multiple of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(5\/1))\/(6\/8). Suppose -3 = o - 2*f + 15, 4*o + 24 = -n*f. Let j be o + 8 + (1 - -33). Which is greater: 30 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*a + a. Find the third derivative of a*j**2 - 4*j**5 - 2*j**2 + j**5 wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*m = 86, -4*b + 7*b + m - 139 = 0. Suppose 4*a - z - 152 = z, 2*z - b = -a. Is (a - (-1)\/1) + -3 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**4 + 34*y**3 - 81*y**2 + 80*y - 28 = 0.\nAnswer: 1, 2, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s + 83. Calculate the remainder when 56 is divided by g(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:31 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 2*h - 6, -4*l - 9027*h = -9025*h + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1211?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 - 204113202?\nAnswer: -204113344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:02 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 3:50 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 280823167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, f: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 1. Let y(b) = -b**3 - b + 1. Let u(r) = -c(r) + y(r). Let v = -143 + 142. Let d be (-1)\/(-3) - (4\/(-6) - v). Determine u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1562 - 817. Find the third derivative of z + 116*c**6 + c**2 + 12*c - 745 + 105*c**6 + 2*c**2 wrt c.\nAnswer: 26520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17474848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**3 - 4*u**2 - 13*u - 58. Calculate the remainder when m(-4) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**3 - i**2 + 1. Suppose 0*w - 4*l = 2*w, 5*w - 4*l - 70 = 0. Calculate the lowest common multiple of t(-1) and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.7984 - -0.0716. Let d = m - 3.97. Let y = -0.06 + 5.06. Which is the nearest to d? (a) 4 (b) -7\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-95)\/(-38)*(-8)\/(-10). Solve -p = f - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76311772?\nAnswer: 2, 109, 181, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/90*(10\/(-20))\/(27\/(-18)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -0.4 (c) 202 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - 8 = 5*w, 5*q - 3*w = 16. Let h(l) be the first derivative of -3*l - 4 - 5\/2*l**q - 1\/3*l**3. Give h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2 - 360*y + 164. Calculate g(51).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-6\/7)\/(l\/(l*l\/l**(-1)))**(-38))**(1\/8) assuming l is positive.\nAnswer: l**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5 - 7291*r**4 - 29152*r**3 - 29148*r**2.\nAnswer: -r**2*(r + 2)**2*(r + 7287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*p + 4, 0*d = -2*p - 4*d + 16. Suppose p*c = -5*x - 2*c + 1876, -4*c - 8 = 0. Round x to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9950*t - 270. What are the prime factors of m(1)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 5:20 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 divided by 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1370 - 3708 - 4052 + 244)*(w + 0*w - 3*w).\nAnswer: 12292*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*x + 18894 = 5454 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 3:03 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5\/9 (b) 56 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 690, -104, 7 in increasing order.\nAnswer: -104, 7, 690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ootaaoooaoaaooa. Give prob of sequence aoot.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.1877 years in months?\nAnswer: 182.2524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 30*l**2 - 45*l.\nAnswer: -5*l*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6\/7*g**4 - 2\/7*g**2 + 16\/7*g - 16\/7*g**3 + 8\/7 = 0. What is g?\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 6.7, 0.3, 1224, -0.3, 2\/5.\nAnswer: -0.3, 0.3, 2\/5, 5\/2, 6.7, 1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(sqrt(121)\/(sqrt(88)\/(sqrt(48)\/sqrt(6) + sqrt(8))) - ((sqrt(22) - sqrt(22)*1)\/sqrt(2) + sqrt(11) + -2 + 1 + sqrt(11))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 y when three letters picked without replacement from bbyrxoyyryoxo?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3024657?\nAnswer: 3, 17, 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3959, -4532, -5107, -5684, -6263?\nAnswer: -6844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g**2 - 8*g + 5. Suppose -26*k + 21*k - 13 = -2*u, 0 = -k - 3*u - 6. Let f(d) = 5*d**2 - 3*d + 2. Determine k*h(o) + 8*f(o).\nAnswer: -2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 10491*j**2 + 10766*j**2 - 21368*j**2 - 1.\nAnswer: -111*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8 = -2*c. Let w be 3\/(10\/c + 2). Suppose -56 = w*p - 280. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8. Find the third derivative of 0*o**4 - j*o**2 + 11*o**2 - 3*o**4 - 6*o**2 wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -2594?\nAnswer: 3\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)*(f\/f**(-3))\/f)**(2\/15)\/((f\/(f\/(f\/(f*f**0*f)))*f)**(10\/17)\/(f**1\/f)**(-5\/16)) assuming f is positive.\nAnswer: f**(28\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2232, -866, 2874, 10176, 22228, 40218, 65334?\n\"Answer: 198*c**3 - c**2 - 17*c - 2412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 525050932?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 13. Suppose 0*t - 2*t = -6. Factor -5*x**2 + 50*x**t - 6*x + 25*x**h - 125*x**4 - 2*x.\nAnswer: -x*(5*x - 2)**2*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**5 - 10*d**4 - 168*d**3 - 306*d**2 = 0.\nAnswer: -3, 0, 17\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 156764?\nAnswer: 1724404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111101111 - -101111001?\nAnswer: -1111001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 341352?\nAnswer: -341356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64394 - -64394.36671. What is p rounded to three decimal places?\nAnswer: 0.367","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1\/4 (c) -4 (d) -0.5 (e) 34.91 (f) -3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12178396291 and -3?\nAnswer: 12178396294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let c(z) = 355*z + 4. Let m(s) = 270861*s + 3051. Let i(n) = -3051*c(n) + 4*m(n). Give d(i(u)).\nAnswer: 339*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-49))\/(5 + 102\/(-21)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 y when three letters picked without replacement from yyyydyyyyyyydyyyyy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0, 6\/7, -4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948062186.\nAnswer: 2, 229, 6436817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*m = -224, -2*r - 3*m + 94 - 17 = 0. Let v = 26 - 13. What is the remainder when r is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + (-25608)\/(-880) + 8\/(-80).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than -22675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 304*(-295)\/(-1760) - 51?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 6 = w, 49*s + 8 = -w + 44*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 250764800 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-16524)\/(-288) + -40 + 3\/(-8)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3100825 divided by 9541\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 74600 to the nearest 1000.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 868487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 20 + 20. Let f(t) = 4*t**2 - 3. Let i(m) = m**2 - m. Let d(r) = f(r) - 3*i(r). Let x be d(-4). Determine s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -11. Calculate the greatest common factor of 12 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21199 not equal to -1519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 23132212*u\/3 - 15421476.\nAnswer: (u - 2)*(u + 23132214)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 3*j**2 - j**2 + 55*j + 7 + (0*j + 0*j + 2*j)*(2*j + 1 - 1) in the form i + r*j + p*j**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((2\/(-9))\/(8\/(-18)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4978 and -0.0509.\nAnswer: -4978.0509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/11 in 3, -1\/3, -1252, -0.4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(112\/58954)*8?\nAnswer: 2, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 8. Let c(h) = 3*h - h + h + 4 + w. Give c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15088*j**2*t + j**2*z - 2*j**2 + 7*j*t - 121*j*z + t*z - 5*z wrt j.\nAnswer: 30176*t + 2*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/5 - (1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1016 divide 119526304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-323)\/171)\/(194 + 3) and -22\/15?\nAnswer: 8865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*l - 94 = 0, 167*i - 162*i - l = 452. Suppose -6*j + 7*j - 3 = 0. Suppose j*h - 87 - 15 = 3*d, -d = 3*h - i. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(35\/(-158020)) + (0 - 2). Suppose -4*p - 2*w - n = 0, -w + 0*w = 1. What is p rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -1509, -1\/9, -1\/3, -13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1011101 (base 2) to base 16\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(288) + sqrt(288) - 2*sqrt(288)*-1)*2)**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2211*a + 2192*a + 57 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 608\/2280 + (12\/10)\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Suppose 5*v + 0*j - 3*j + 175 = 0, -5*v - x*j = 140. Let y = 62 + v. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -3)\/5 - (2586\/(-30) + 3). Solve -q = 57*t + 145 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11*(-1)\/(-33))\/((-1)\/(-225)). Calculate the greatest common factor of 1200 and j.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 + 495*r - 1518. What is n(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*d + 29660 + 253300. Let h = -1 + 15. What is the lowest common multiple of h and d\/(-312) - (-6)\/(-39)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12600777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwjwwwwwjjjwwwww. What is prob of sequence www?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4420 is divided by 4413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**5 - 1450*o**4 - o**3 + 7*o**2 - 10*o - 172 wrt o.\nAnswer: -300*o**2 - 34800*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 13*o**2 - o - 3. Let n(h) = h**3 - 4*h**2 + h - 1. Let l(w) = 3*n(w) - s(w). Give l(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49074*x**3 + 608*x**2 + 31.\nAnswer: -294444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -10130 (b) 1\/2 (c) -1 (d) 2.8 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 28. Suppose 15 = f + 11. Calculate the highest common factor of m and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 29*l**5\/10 + l**3\/2 - 7*l**2\/2 + l - 54. Find the second derivative of p(j) wrt j.\nAnswer: 348*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - v + 1 = -3, q - 8 = -2*v. What is the derivative of -11 + 1 - 31*z - 3*z**2 + q + 5*z**2 wrt z?\nAnswer: 4*z - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -615\/4*x + 619 - 1\/4*x**2.\nAnswer: -(x - 4)*(x + 619)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 13. Let o be h(-8). Let m = o + -36. Solve 0*l - 5*l = m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2. Let c(n) be the second derivative of -n**4\/24 - n**2 + 9*n. Let h(w) be the first derivative of c(w). Determine j(h(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -5*j**3\/6 + 3*j**2 - 49*j - 24. Let w(z) = 2*z**2 + 31. Give h(w(c)).\nAnswer: -10*c**2 - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 4 - 1)*(-3 + 4 + 0) - 5 - 2 + 4)*(-o - 8*o + 3*o) to the form x + t*o and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*z**2 - 50*z**2 + 27*z**2.\nAnswer: -204*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**5\/40 + 7*x**4\/24 - x**3\/3 + 3. Let q(h) be the third derivative of k(h). Suppose -18 = -390*m + 393*m. Calculate q(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)\/sqrt(2))\/sqrt(12)*-5)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u = 5*u. Suppose u = -3*b - b. Solve b = -2*c + 4 - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 9*i - 8. What is u(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-4 + sqrt(11) + (sqrt(11) + (sqrt(11) - sqrt(33)\/sqrt(3)) + sqrt(11))*4)**2.\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -13*g - 12. Let h be -1570*(-5)\/(-20)*g. Suppose -u = -6*u + h. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, d: 3, j: 2}. Give prob of sequence jdaj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*n - 6, 3*n - 7 = -2*n + 2*u. Let l be -6 + 4 - (1 - -1). Let t be 2\/(-8) - 3\/l. Which is bigger: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1563*r = -1557*r + 36 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/4 - 39*z**2\/4 - 69*z\/4 - 33\/4 = 0. Calculate z.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 6*w**2 + w - 3. Let p be t(6). Suppose -4*x - 15 = -3. Let r = 12 - 12. Put x, r, p in descending order.\nAnswer: p, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 = 2*s. Let c(q) be the first derivative of q**3\/3 - q**2\/2 + q + 2. Let j(z) = 6*z**2 - 6*z + 5. Calculate s*j(m) - 4*c(m).\nAnswer: 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*81\/702)\/((-8)\/16*14).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.89 - 0.89. Let o = 2.3 - -0.7. Which is the nearest to 0.1? (a) o (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*h + j - 18, 3*j - 5 = 2*h. Suppose -3*q - 3*k - 9 = 0, 4*q + 3*k - h*k = 3. Suppose -74 = -2*i + 5*t, t = 4*i + q*t - 192. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2)\/y*y**(-8)*(y*y*y**3*y)\/(y**7*y)*((y*(y\/(y\/(y\/y**(-2))))\/y)\/y)**(20\/3)\/(y\/y**1)**35 assuming y is positive.\nAnswer: y**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 69*j**2 - 38*j - 22. Let h(c) = -69*c**2 + 38*c + 19. Let i(x) = 5*d(x) + 6*h(x). Find the second derivative of i(l) wrt l.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 282 by 2.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2455877831 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: What are the prime factors of 22338217?\nAnswer: 11, 2030747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -208, -103, 26, 179, 356?\n\"Answer: 12*f**2 + 69*f - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 13*u - 6. Determine i(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*t - 3*v, -5*v = -t - t + 20. Let k(i) = 4*i**2 + t*i**2 - 3*i + 3*i**2. Is k(2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q - 2*q)*(-2 - 2 + 5) - 7*q - 15*q + 17*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, 0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 greater than 2669\/178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-1 + 4)\/(-3). Let s(m) be the first derivative of 21*m**2\/2 - 18*m - 4. Let f(p) = -p + 1. What is a*s(z) + 18*f(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 444 - (-6)\/(-12)*4. Suppose 10*j - 9*j - s = 0. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87871 divided by -1.\nAnswer: -87871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = 3*t. Let k be 11*((-3)\/(-1) + t). Suppose 0 = b - k + 3. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 9:42 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -240141012?\nAnswer: -240141023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {t: 1, d: 1, v: 3, p: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 13 + 10 = 0. Sort 4, 5, h, 1 in increasing order.\nAnswer: h, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 2\/107 (c) 0 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - m - 13 = 0, -1 = -4*w + 5*m - 0. Factor -2\/7*c**5 + 0*c - 2\/7*c**2 + 2\/7*c**w + 0 + 2\/7*c**3.\nAnswer: -2*c**2*(c - 1)**2*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -18. Let d(i) be the third derivative of i**6\/120 + i**5\/6 + i**4\/24 + 2*i**3 - 6*i**2. Let j be d(-10). Solve j*o - 1 + v = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.3 - 47. Let l = -2.17 - 4.53. Let q = l - k. What is the nearest to 0 in q, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1749)\/(-2332))\/((-3)\/32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d + 0*d)*(4 - 1 - 2) - 429*d - 374*d + 1406*d - 351*d.\nAnswer: 255*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8.1 (b) 15 (c) -3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**2 - 5*i. Let a(d) = -d**2 - d. Let z(g) = 11*a(g) - 2*t(g). Let q(c) = -7*c**2 - 5*c + 1. Calculate -q(m) + 5*z(m).\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, m: 2, w: 3, c: 5}. What is prob of picking 2 w and 1 s?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2736) + sqrt(2736)*3) + -5)**2.\nAnswer: -480*sqrt(19) + 43801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 15*g + 15. Let q be y(-16). Let t be q\/3 - (-5)\/18. Suppose -2*p = 5*x - 22, p = 2*x - x - 3. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 313 + -3444\/11. Let r = 19 - 18.7. What is the nearest to -3 in -5, y, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-328)\/(-41) + (10 - 2). Solve 31*y + 15 = -m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: cae4 (base 15) to base 12\nAnswer: 20a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -333301122?\nAnswer: 333301033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-198))\/((-8)\/84). Which is the biggest value? (a) 1\/5 (b) 3\/2 (c) i (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11011661, -11011642, -11011595, -11011508, -11011369?\nAnswer: -11011166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5934 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + d + 1. Let z(h) = -h**2 + 3*h - 2. Let q be z(2). Calculate v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -0.8258\nAnswer: -0.057806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2042d7d2 + 2?\nAnswer: -2042d7d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1264 divide 5446691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1158868*z + 1158868*z - 3*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = y + 4. Let m = -32.964 + 33. Let v = 0.064 + m. Which is bigger: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 12 = -2*u, -n = 5*u - 2*n + 7. Suppose 0 = -4*p - 0*p. Suppose 4*v - 3*q = 19, -14 = -4*v - p*q - 2*q. Sort -2, v, u in descending order.\nAnswer: v, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**5\/8 + 3111*o**4\/8 - 55353*o**3\/8 + 333969*o**2\/8 - 96369*o + 149793\/2 = 0.\nAnswer: 2, 7, 1019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 2. Let s(g) = 2 - 38*g + 1 + 43*g. Let c be s(-1). Give x(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, q: 1}. What is prob of sequence ql?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/2*64\/112. Let l(a) = 61*a**2 - 2*a + 2. What is the remainder when l(q) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/93665 and -7\/89342.\nAnswer: 5807230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*a + 3*f, -8 = 3*f + f. Suppose 10 = 5*c, -2*d - a*c = -3*d - 1. Round d to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 4. Let o(g) = 3*g - 782. Calculate -o(m) - 4*x(m).\nAnswer: m + 798","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 11*s + 2. Let d(c) = 2*c**2 + 13*c - 2. What is 7*d(h) + 6*r(h)?\nAnswer: 2*h**2 + 25*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 148*m + 1 + 4 + 170*m.\nAnswer: 22*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5041, 5039, 5037, 5035, 5033?\nAnswer: 5031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 5\/2, -5, 6, -34?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) -3 (b) -2\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvf when three letters picked without replacement from {y: 3, t: 3, v: 1, f: 2, c: 1, x: 3}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -81 (c) 54103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59720, 59722, 59724?\nAnswer: 59726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2. Let b(h) = -134066007*h**2. What is z(b(f))?\nAnswer: 53921082698772147*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 36*a - 30, -3*a - 62*c - 19 = -29*c - 22*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 9. Let o = 4 + y. Solve 3*x - 4*s + o = 0, -x - 5 = -4*x + s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10003*m**2 + 198*m + 47 wrt m.\nAnswer: 20006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. What is the lowest common multiple of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 7300*i**2 + 14620*i.\nAnswer: -5*i*(i - 2)*(i + 1462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -22*x**2 - x. Let q(c) = -106*c**2 - 3*c - 89. Calculate 5*h(j) - q(j).\nAnswer: -4*j**2 - 2*j + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18126987 times 2\nAnswer: -36253974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**4\/24 + 2*p**2 + 2. Let d(m) = -25*m**2. Calculate d(c(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 78*q**2 + 63*q**2 + 3*q - 4*q)*(3*q**2 - 2*q**2 + 0*q**2).\nAnswer: -2*q**5 - 15*q**4 - q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1703\/(-559) + 27\/9\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(2\/5)*h*h**(4\/5))\/((h\/(h**(2\/5)\/h))\/(h\/(h**(-1\/4)*h))))**18 assuming h is positive.\nAnswer: h**(369\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let g(q) = q**3 - q**2 + q + 1. Let j(f) = -g(f) + s(f). Let t be j(2). Let b(v) = 1 - 3*v**2 - 4*v**3 + 2*v**2 + 5*v**3. Determine b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o. Let l(w) = 4*w + 40. Let n be l(-10). Let r(k) be the second derivative of -1\/6*k**3 + n + 0*k**2 + 2*k. What is g(r(v))?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrrnnnnnrnnrnrrr. What is prob of picking 1 r and 1 n?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -419 + 28223353?\nAnswer: 28222934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*k - 8, -4*j - 5*k + 7 - 17 = 0. Let w be (j + 3)\/((-63)\/12 - -6). What is w rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 80\/255*6. What is the third smallest value in 5, 7, a?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -149050 - 1305*m**2 + 149050 in the form v*m**2 + r + j*m and give v.\nAnswer: -1305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 794, 1242, 2464, 4850, 8790, 14674?\n\"Answer: 65*v**3 - 3*v**2 + 2*v + 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 24 = -4*n, 4*z = 13206*n - 26418*n + 13211*n + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/2, -1\/5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, -0.4, 1, -3022, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 29. Let u be v(-12). Let f = u - 8. Suppose 0 = -x - 2*x + f. Which is the nearest to 2\/7? (a) -1\/6 (b) -1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(68) - (sqrt(68) + -1*sqrt(68) + sqrt(68)))\/sqrt(4) - (0 + sqrt(51)\/sqrt(3))) + 6*(sqrt(833) + 2) + 5.\nAnswer: 16 + 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-33)\/15 + -2)\/((-6)\/(-30)). Let b be (-728)\/v + (-1)\/(-3). Solve -l + 4 = 2*d, 5*d - 1 = 4*l + b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 3*x. Let s(i) = 2*i**2 - 5*i. Suppose 7 = -3*o - r - r, 2*r + 1 = -o. Let q(k) = o*s(k) - 5*h(k). Factor q(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e69b3 (base 16) in base 4?\nAnswer: -103212212303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102.1 + 972.9. Let h = o - 1075.000000593. What is h rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-180)\/(-18) - (-16777)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 8 = 8*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 3223?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 105*c - 7216. Give t(52).\nAnswer: 948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-45)*894\/(-2980)*(-10)\/16.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Let s = m - 3.5. Let h = -26 - -51\/2. What is the nearest to h in s, 4, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0 (c) 13\/7 (d) -4 (e) -0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/168 - (-5090)\/71260?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 168\/16*(-2)\/(-7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4\/12 - s**3 + 3*s**2\/2 - 7*s - 11. Let h(b) be the first derivative of p(b). What is h(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.225 - 0.149. Let l = 0.224 + t. Which is the fourth smallest value? (a) -3 (b) 4 (c) -4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 - 1.4. Let p = f - -0.3. Let k = p - 1.00104. What is k rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33683744429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80536680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 5*o - 161 = 14*d + 225, 0 = 5*d - 2*o - 499 for d.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1319*j**4 - 2*j**3 + 147.\nAnswer: -5276*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 92. Let z be ((-52)\/d)\/((-4)\/(-30)). Which is the smallest value? (a) -4 (b) -3\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17 - -3.27. Let y = -3 + q. Which is the second biggest value? (a) 3 (b) 2\/13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a + a + 9*a + (4 - 1 - 4)*(-a - 2*a + 5*a))*(21 - 21 - 78*a) - 2*a**2 + a - a in the form g*a**2 + b*a + s and give g.\nAnswer: -938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 14*w**2 - 2507*w + 4997. Calculate r(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 46*x**2 - x - 2*x as l*x + r + b*x**2 and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 343866 (base 10) in base 4?\nAnswer: 1103330322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, i: 1, h: 2, o: 8, z: 5}. What is prob of picking 2 z and 2 o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a + 1158173 - 1158173.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 703*y\/4 + 295\/4.\nAnswer: -(y - 59)*(12*y + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.7 - -0.3. Let t = a + -5.06. Round t to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.47931125 to two dps.\nAnswer: 30.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 1. Let c(a) = 3*a**2 + 6*a + 4. Let j be ((-6)\/7)\/(7\/49). Determine j*o(i) - c(i).\nAnswer: -3*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13314 divided by 3?\nAnswer: 4438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 18*a + 924. Suppose 2*l - a = 3*f - 8*f, -39 = -2*f + l. What is the least common multiple of 8 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(88)\/(sqrt(8) + sqrt(8)*1 + sqrt(8)) + -3*sqrt(33)\/sqrt(3) - (4*1*sqrt(891) + sqrt(891))**2).\nAnswer: -89100 - 32*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 2*x - 71. What is l(0)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 196, 3\/4, 0.3, -0.3, -3\/4 in ascending order.\nAnswer: -3\/4, -0.3, 0.3, 3\/4, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z = 41*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.97878467 to 3 dps.\nAnswer: 3.979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/4)\/(o*o**(1\/5)\/o)*o*o\/o**(-2)*o\/o**11*o assuming o is positive.\nAnswer: o**(-109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 29 + (-3)\/(((-60)\/16)\/(-5)). Suppose -2*i + 4*x + 372 = 0, 3*x - 8*x - c = 0. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-14)*8\/(-6). Let x = o - 0. Let a(k) = -3*k**4 - 1. Let t(j) = 2*j**4 + 1. Let z(d) = x*a(d) + 5*t(d). Find the first derivative of z(g) wrt g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3133 + 3?\nAnswer: -3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from oooxoooooxoooooooo?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = 47*q - 280. Suppose 5*x = 6*x - 47. What is the smallest common multiple of x and q?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3604871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8569 and 218899?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322149.\nAnswer: 3, 73, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 6*z**2 - 7*z - 4. Suppose -3*f = -50 - 40. Suppose -45 = -5*x - 5*y + f, -5*x + 82 = -2*y. What is the remainder when x is divided by b(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118584\/10355 - -1350\/2071. What is the common denominator of (2\/(-15))\/(80\/(-186)) and u?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -14. Suppose -2*t + r = -48. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -428 - -408.5. Let b = -19.4 - y. Which is greater: b or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/34 + 11\/((-1496)\/(-1072)). Let m be (10500\/63)\/(s\/12). Calculate the highest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = 65 + 79. Let u = m + 19. Let f = 90\/247 + -4\/19. What is the second biggest value in f, u, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - r**2 + 2*r**2)*(1 - 1 + 2 + (1 - 2 + 3)*(2 - 1 + 2)) + (3*r - 2*r + 2*r)*(0 + 0 + 10*r).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(sqrt(2) - sqrt(32)) - sqrt(2))**2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 4*b**2 + (2*b + 2*b - 5*b)*(4 + 2*b - 4) - b**2 - 2*b**2 - b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1551\/(-5)) + (-95)\/475. Suppose -314*l + 26655 = -n*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6e22 (base 15) to base 14.\nAnswer: db066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 1, o: 2, c: 1, r: 1, i: 2}. Give prob of sequence or.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 3. Let t be 4\/10 - 92\/(-20). Let r be d(t). What is the tens digit of (-2)\/4*r*-25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399002 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45017549 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -322.6817 + 23701.\nAnswer: 23378.3183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1573.1982578 + 1573.2. What is g rounded to five decimal places?\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -11)*(-2)\/7. What is the least common multiple of (-3 - -1) + (26 - j) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {e: 1, w: 1, h: 2, b: 2, m: 1, a: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 161763 (base 9) to base 7\nAnswer: 563604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15\/2)\/j**0 assuming j is positive.\nAnswer: j**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 5*g**2 + 6*g + 8. Let c(n) = -n**3 + 1. Let k(a) = -5*c(a) + v(a). What are the prime factors of k(3)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, m: 6}. What is prob of sequence mn?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 10. Let c be a(5). Is c less than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:02 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 352563089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17752 + -0.1?\nAnswer: -17752.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 2*o + 22, 2*t - 4*t - 616*o + 618*o = -10 - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70.90676 * 3.\nAnswer: -212.72028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 37\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 262\/288*(-3)\/2 and -43\/16?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*k = 9, k - 10 = -4*i + 15. Let y(u) be the first derivative of 43*u**3\/3 + 11*u**2\/2 - 7*u - 978. Is y(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1872*l + 553 - 1140*l - 553 to the form p*l + q and give p.\nAnswer: -3012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 - 3*p**2 - 3*p + 7. Calculate the remainder when q(3) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -341458, -341434, -341404, -341368, -341326?\n\"Answer: 3*y**2 + 15*y - 341476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15*u - 2189 = 0. What is the remainder when u is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 + 86.16. Let p = d + -0.16. Let l = p - 7.046. What is l rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/(273\/56).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/72*((-46683)\/(-210))\/19?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1367127*g**3 + 22*g**2 - 1506*g + 9?\nAnswer: -8202762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1.9, -1\/13, -4?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 1, n: 1, v: 2, o: 1, s: 1}. Give prob of sequence xxv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, -203, -545, -1017, -1619, -2351, -3213?\n\"Answer: -65*b**2 - 17*b + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/12 and -75\/262.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**2 - 15*u - 75. Is y(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8527023 to 2 dps.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/195 + (-23)\/(-299)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, z: 1, g: 2, m: 4, y: 3, p: 2}. Give prob of picking 1 p, 1 u, and 2 m.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3 - 143768*f**2 - 2582504200*f + 41356880000 = 0. Calculate f.\nAnswer: -35950, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11231 and 3848149.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 12*s - 1. Determine a(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p - 48*p = 5*w - 70, -3*w - 54 = -p. Solve 0 = 22*l + p + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -782 divided by -46.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16628269\/58656 + -13319\/47. What is the common denominator of 119\/312 and x?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -103, -419, -945, -1681?\n\"Answer: -105*y**2 - y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**3 - 5*u**2 - u - 5. Let m(q) = -5*q**3 + 4*q**2 + q + 4. Let l(c) = 4*m(c) + 3*n(c). Suppose -4*w = 3*z - 3 + 6, -4*z = 5*w + 4. Determine l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21402*-0.3988\nAnswer: 8535.1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47222, -47216, -47210, -47204?\nAnswer: -47198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635*c + 2 = -637*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (5 + (4 + sqrt(500))**2*5)*4)*-4.\nAnswer: 25600*sqrt(5) + 165472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, b: 4, n: 4, l: 2}. Give prob of picking 1 a and 2 l.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48.3? (a) -1 (b) -11 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -42278.\nAnswer: -42281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-68)*(-8)\/(-44). Let x = t - 17777\/1122. Calculate the common denominator of x and 10\/(-4)*(-2 + 516\/270).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 2*y)*(5*y**4 + 31*y**3 - 31*y**3 + 4).\nAnswer: 10*y**5 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(847)*-4 - -3*-5*sqrt(847).\nAnswer: 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3012*f**2 - 1 - 142*f**3 - 1509*f**2 - 1503*f**2.\nAnswer: -142*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6578661954 divided by 6.\nAnswer: 1096443659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 98, 5797, 11496, 17195, 22894?\n\"Answer: 5699*l - 5601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/19)\/t*t\/t**(-34))**33 assuming t is positive.\nAnswer: t**(21450\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 43*n**4\/6 + n**3\/3 + 217*n**2\/2 + 339*n. What is the second derivative of g(w) wrt w?\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750, 1714, 3120, 5190, 8146?\nAnswer: 12210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1605.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*i + 1. Let n(y) be the first derivative of 1 - 1\/2*y**i - 2*y. Differentiate n(l) with respect to l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -347654.52 to the nearest one hundred.\nAnswer: -347700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/15 - (-12)\/5. Let x(i) = 11 - 3*i + 3*i**2 + 0*i**p - 8*i. Suppose 10 = -l + 6. Let k(c) = -c**2 + 4*c - 4. Give l*x(t) - 11*k(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -4)\/(0 + -1). Suppose 0 = 2*o - 3*g, 0 = -m*o + 4*o + 2*g - 32. Let z = -8 + o. Is z equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/668 and 107\/9610.\nAnswer: 3209740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t. Let d(j) be the third derivative of -j**5\/30 + 6*j**2. Determine d(m(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.146 + -0.14575. What is i rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -98*b**2\/3 + 28*b - 6 = 0.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (250\/525)\/(1\/7)*56241\/5 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.149*0.321\nAnswer: 0.047829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60412096.\nAnswer: 2, 19, 49681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17.3 * 9723\nAnswer: -168207.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l**3 - 2*l**2 + 3*l + 2. Let c be x(-2). Let f(p) = -52*p + 420. Let t be f(8). Calculate the greatest common divisor of t and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 72*h**2 - 513*h - 15162.\nAnswer: 3*(h - 14)*(h + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8275 + -4819. Does 27 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.03, 4 in ascending order.\nAnswer: 0.03, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 2*d**2 + d. Let g be t(2). Suppose -4*s = 8, -3*y + 0*y + g*s = -16. Suppose 0 = 7*p - y*p. Let z(h) = -h**2 + 7. What is z(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 2*u - 5*p, u = 3*p. Suppose 0 = l + b - 3*b - 125, u = -4*l - 3*b + 478. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*s - 62*s + 4*m + 27 = 0, -s - 5*m = 18. Let z(h) = -4*h**2. Let p(v) = 3*v**2. What is s*p(x) - 2*z(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1898?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4804 rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**3 + 148 - 3*t**3 - 5*t**3 + 2*t - t + 77 to the form a + v*t**3 + z*t + r*t**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1419 and 3150223.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 13. Let c be g(5). Let o be ((-68)\/(-12))\/((-1)\/c). What is the third derivative of 27*r**2 + o*r**4 - 55*r**2 + 26*r**2 wrt r?\nAnswer: 408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*f + 7 - 22 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6421 - 6421 - 59*x.\nAnswer: -59*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1178551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -9291005763.845\nAnswer: -9291005764.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1366?\nAnswer: -1366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135081203?\nAnswer: 19, 1291, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/6 and 85\/346?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-5)\/95 + (-416)\/741. Let g = -138\/5 - -291\/10. What is the nearest to 2\/5 in h, 5, 1\/8, g?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3\/4 - 3909*m**2\/4 + 7846*m + 47004 = 0.\nAnswer: -3917, -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 192262.\nAnswer: 3845240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 1 - 5*b + b - 3 + 5. Let o be m(2). Solve -l = -2*l + o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 + 0) - (13 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 350874 and 54342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*a**2 + 131*a**2 - 80*a**2 to the form l + u*a**2 + o*a and give u.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 101. What are the prime factors of d\/(6 - 3) + (-307)\/(-3)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 14 - 2. Suppose 0 = -3*g + 5*g - 2*l + h, 0 = -2*g + 5*l - 19. Solve -2*z + 4*o - 10 = z, o = -2*z - g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6534*h = -6538*h + 64 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 34 + 20)*(-5*t + 5*t - 6*t**2) as j + n*t + w*t**2 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 327190790 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -0*p - 132. What is the tens digit of (-6)\/33 - (-796)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3210 + -1?\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/22 + 900\/(-110). Let a be y\/(-3)*(-9)\/(-2). Calculate the highest common factor of 8 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -321 - -329.67. What is j rounded to 1 decimal place?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*560\/(-546) - 4\/26\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**6\/6 + 6*x**5\/5 + 3*x**4 + 8*x**3\/3 + 1110. Determine q, given that m(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(0*a - 26*a + 0*a) + 4*a - 2*a + 0*a + 2*a - 4*a + 4*a + (-a + 0*a - a)*(1 - 3 + 0).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 102.5028 litres?\nAnswer: 102502.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.3642574993 + 1299.3643105993. Let t = n + -1297. What is t rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423008*q**2 + 383836*q**2 + 402922*q**2.\nAnswer: 1209766*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -0.008 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(240)*-5)\/(-3*sqrt(20)).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38854 times -167?\nAnswer: -6488618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/9008 and -127\/2477200?\nAnswer: 2477200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/30)\/(46\/133). Let l = o - 1\/69. What is the second smallest value in 1\/4, -4, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 168 - -8?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13128752 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4252813*h**6*w + h**4*w**2 + h**2*w**2 + 148*h**2*w - 6169*w wrt h?\nAnswer: 510337560*h**3*w + 24*h*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 1. Let p(f) be the third derivative of 7*f**4\/3 + 22*f**3\/3 - 430*f**2. Determine 88*n(x) + 2*p(x).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 - h**4 + 0*h**4 + (0 - 2*h + 0)*(4*h**3 - 2*h**3 + 0*h**3) - 7*h**4 - 2*h**4 + 3*h**2 - h**2.\nAnswer: -17*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.147469 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031121 - -40020?\nAnswer: -441101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + -0.68. Let k = 0.3 - c. Let q = k - 0.98. What is q rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6.4. Let o = -3 - 0. Put o, -0.1, a in ascending order.\nAnswer: o, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 985 = 3*d + 2*r - 1187, 0 = -d + 3*r + 735. Let p = d - 314. Suppose 2*s + p = 1174. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4706 + 2714. Let g = 7708 - y. Round g to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -398*k**2 + 606*k + 15. Let h(d) = 8*d. Calculate h(b(l)).\nAnswer: -3184*l**2 + 4848*l + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4\/3*b**2 + 1\/3*b**4 - 5\/3*b**3 + 0 + 0*b = 0?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7571878 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -7*r. Let p be (-3 - r) + -1 - -6. Solve -4*j + p*x + 16 = -0*x, -3*j + 4*x = -7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 640694*u**2\/3 + 2280379437*u - 2432647728.\nAnswer: (u + 21357)**2*(15*u - 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 14?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 139)*9\/((-216)\/32). Let c = -180 - y. Calculate the highest common divisor of c and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -17*i**2 - 320*i - 112. Determine w(-18).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 51\/((-204)\/(-20)) - 19\/7\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*y - 144 = -88*y. Calculate the highest common factor of 126 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m + 58*m - 2*m**2 - 27*m.\nAnswer: -2*m**2 + 47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**3 + 10123*q - 20171*q + 10048*q.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2 + 2 + 1). Suppose 1 = -b*d + d. Solve -3*c = 4*r - d, -3*r + 4*c - 6*c = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20bd (base 15) to base 2\nAnswer: -1101100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 519 + -518.9748. Let l = -0.0251729 + w. What is l rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30707 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 323 - 323.3. Which is the nearest to -1? (a) o (b) -1\/2 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 657037 and 1648.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 (base 6) in base 3?\nAnswer: 21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3 + 2*z**2 + 13*z + 27. Determine r(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3)\/(j*j**(-6))*(j**(-1\/3)*j*j)**(-7))**(2\/15))**(5\/9) assuming j is positive.\nAnswer: j**(-58\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:27 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6763.716mm?\nAnswer: 6763716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/5)\/(8\/(-20)). Solve o*c = 3 + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**3 + 19*w - 19*w.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + g**2 + 3*g - 6. Let f(r) = 34*r - 439. Let w be f(13). Determine p(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2283564 divided by -761188?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/40*16732\/141.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 4*s + 2. Let d(z) = 6*z**2 - 22*z - 11. Let g(l) = 2*d(l) + 11*v(l). Let o(y) = 53*y + 1. Calculate o(g(t)).\nAnswer: 53*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -334, 0.4, -580 in decreasing order.\nAnswer: 0.4, -1\/2, -334, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 158, 346, 534?\n\"Answer: 188*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2885128 is divided by 344?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/5)*(i*(i*i\/i**(3\/4))\/i*i*i)\/i)\/((((i\/(i*(i*i*i*i**(-5))\/i))\/i)\/i)\/(i\/(i**(-1\/9)\/i))) assuming i is positive.\nAnswer: i**(821\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/(sqrt(14)\/sqrt(7)))\/sqrt(11) + (sqrt(242) - (-1*(sqrt(242) + sqrt(242) + 0 + sqrt(242)) + sqrt(242) - sqrt(242))))**2.\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -42.9. Let b = -7.6 - -8. Let f = b + -0.1. Is f < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2632982271 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.51 + -9.51. Let f = -3.04 - -10. Let s = f + o. Which is the biggest value? (a) s (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 4, t: 1, z: 2}. What is prob of picking 1 t and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**2 + 1067541*o = 0.\nAnswer: 0, 355847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.871886011 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15))\/(-9 - 12992\/(-1440))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -597*((-32)\/12 + 2). Let i = c + -3977\/10. What is the common denominator of i and 109\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 22 + 220. Solve f*s - 5*s = 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiixxx. Give prob of picking 1 x and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y**(1\/11)*y)\/y*(y*y**3)\/y*(y**(-1))**(-43)*(y*(y*y**(-2\/3))\/y*y)**(-48)\/((y*y**(-2\/11)\/y)\/(y\/y**(-3)*y)) assuming y is positive.\nAnswer: y**(-129\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 7 - 11. Let m be -3*(d - 1\/(-1)). Suppose m = 2*r - r. Solve r*t = 9 - 24 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6126571 and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -403 + 50*w + 403 as d + s*w and give s.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17190 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.350672*16\nAnswer: -5.610752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 675, 1312, 1933, 2532, 3103, 3640?\n\"Answer: -q**3 - 2*q**2 + 650*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34670 + -71177.\nAnswer: -36507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + 2 - (1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10692658299 rounded to 5 dps?\nAnswer: -0.10693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.9920485 + -6.461906. Let f = -7.53 + i. What is f rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1084.8057206 and 24913.\nAnswer: 23828.1942794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**3\/2 - 37*f. Let i(x) = 11*x + 7. Let s(o) = 5*o + 3. Let g(v) = -3*i(v) + 7*s(v). Give g(t(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/6 + (-18)\/12. Sort 1, m, 3, -2 in decreasing order.\nAnswer: 3, 1, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199.72902 months to millennia.\nAnswer: 0.016644085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 42802907?\nAnswer: 42802907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/10)*f)\/f*f*f**(-3\/10)*f)\/(f**15*(f\/((f*f**12)\/f))\/f) assuming f is positive.\nAnswer: f**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r\/(r\/(r**(-4\/5)\/r))*r**(-5)*(r**(-1))**44 assuming r is positive.\nAnswer: r**(-244\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/178184 - -1311434261\/1247288. Let y = 1049 - g. What is the common denominator of y and -37\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one halves of a year?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 11. Let a be i(-10). Is a < 1\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5127*r + 2233*r + 1998*r)*(-1 + 0 - 6)*(2 - 1 + 0)*(2 + 3 - 6) as v*r + c and give v.\nAnswer: -6272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c + 0*c**3 + 1\/12*c**4 + 0 + 0*c**2. Let t(a) be the first derivative of 2*a**3\/3 - 3. Calculate q(t(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-9912.\nAnswer: -892.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*v - 6101 = -3505 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2707 is divided by 213.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*o**5 - 3209*o**4 - 3*o**3 - 9161344*o**2 wrt o?\nAnswer: 780*o**2 - 77016*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 1. Suppose -t + 3*n + 4 = 5*n, -t - 5 = 5*n. Suppose 11 - t = -r. Let b be d(r). Solve -2*l + 16 = b*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 3, p: 3, o: 1, f: 1, n: 1}. What is prob of sequence vfp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24722?\nAnswer: 2, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115498\/105 or 1099?\nAnswer: 115498\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -797 (base 12) to base 13.\nAnswer: -685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*y**2\/7 - 112312*y\/7 + 878016\/7.\nAnswer: 4*(y - 2152)*(13*y - 102)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 0. Let v = -50 + 673. Let h = v + -623.1. Which is the second smallest value? (a) -0.4 (b) x (c) 4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 166, 372, 650, 994, 1398?\nAnswer: 1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8569 or 8595?\nAnswer: 8569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -38b22 (base 12) in base 11?\nAnswer: -53374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161*p**3 - 153*p + 2 - 10*p + 163*p**3 + 5*p to k*p**3 + v*p + o + c*p**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -10. Suppose 0 = -o*d + 86 + 73. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 0*v**2 + 4*v**2)*(0*v - v - v)*(2*v**2 - 3*v**2 + 4*v**2).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20404 - -20392.179. Let f = c + -0.079. What is f rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 95*q - 18. Let h be o(2). Suppose 184*w = h*w + 24. Solve w*v - 3*p = p + 12, 15 = 4*v + p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2256*v - 2646 + 5286 - 2640)*(3 - 3 - 2).\nAnswer: 4512*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v*v*v\/v**(1\/6))\/v))\/v**5)**16\/((v**1*v)**(1\/9)*(v\/v**4)\/v**(-8)) assuming v is positive.\nAnswer: v**(-1031\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905323 is divided by 905036?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fftfffffffbbffbbfb. What is prob of picking 2 b and 1 f?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135*f + 4*r - 961, -88697 = 4*f + 3*r - 88681 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3\/3 - 625*b**2 - 46125*b + 7354375\/3.\nAnswer: -5*(b - 35)*(b + 205)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32 + (-29491)\/539 + 46\/2. Determine l so that 0 + f*l**5 - 432\/7*l**2 + 12*l**3 - 486\/7*l + 32\/7*l**4 = 0.\nAnswer: -9, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -13*u**3 + u - 1. Suppose 5070 = -39*y + 24*y. Let n = y + 339. Calculate d(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-16)\/(0 + 4)). Suppose 0 = 2*a - 0*a - 6. Suppose -3*p = -7*p - 2*o + 14, -4*p + 19 = a*o. Does x = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9672 and 212534946?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1794 and 156.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, j: 1, l: 3, v: 5, c: 2, h: 1}. Give prob of picking 1 p, 2 c, and 1 l.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 271.6149cm?\nAnswer: 2716149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/35, 1, -5\/3 in decreasing order.\nAnswer: 1, 16\/35, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**8\/4032 + c**7\/840 - c**6\/1080 - 5*c**4\/4 - 10*c**2. Let d(r) be the second derivative of i(r). Factor d(g).\nAnswer: g*(g + 2)*(5*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -119*b + 40 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -591, -1241, -1891?\n\"Answer: -650*m + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - (-1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 8, -3\/4, -1\/3, -22, -151, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 998, 1966, 2938, 3914, 4894, 5878?\nAnswer: 6866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 1533?\nAnswer: -459.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 15. Let n be -4*(-12)\/x*(-8)\/(-6). Solve -8 = 4*r + 2*l - n, l + 2 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8025294 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 252.55 + -252.650024. Let o = f + 0.1. What is o rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/18)\/(2\/(-4)). Let c be 2 - ((8 - 4) + t). Let p(i) = -7*i**3 + i**2 + i. Calculate the remainder when 25 is divided by p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383717 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: Suppose -5*a - m = m + 91, 0 = -a + 2*m - 11. Let s = a - -18. Sort -6, 5, s.\nAnswer: -6, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 0*w + 40. Let r = 20 + w. What is the greatest common divisor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2261 and -157\/714?\nAnswer: 13566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 z when four letters picked without replacement from {n: 8, z: 5, m: 1, h: 5}?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 2*k**7\/21 + 32*k**6\/15 + 76*k**5\/5 + 64*k**4\/3 - 640*k**3\/3 - 1024*k**2 - 3533*k. Find l, given that n(l) = 0.\nAnswer: -8, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -5, -4, -11, 2.\nAnswer: -11, -5, -4, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 119*o**2 - 3*o - 32*o**2 + 3*o. Let s(a) = 2*a**2. What is b(s(y))?\nAnswer: 348*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -21*d. Let j = 3077 + -3092. Let w(t) = -84*t. Determine j*s(g) + 4*w(g).\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, e: 7, m: 2}. Give prob of picking 1 h and 1 e.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -222*m. Let f(t) = -2*t - 6491. What is h(f(i))?\nAnswer: 444*i + 1441002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*(3 - 3). Let q(h) be the second derivative of d*h**6 + 0 - 2*h + 0*h**2 + 0*h**3 + 0*h**4 + 0*h**5 - 1\/42*h**7. What is b in q(b) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:09 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1114620 - 11?\nAnswer: -1114631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239111522 is divided by 1812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 17. Suppose -5*f = -4*f + o. Let m(k) = -k**3 - 3*k**2 - 3*k - 2. Calculate m(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*z**2 - 2*z + 2*z**3 - 10*z - 9*z + 20*z to the form j + x*z + i*z**2 + t*z**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 + 3.8000015. Round d to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1376.1 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2\/3*p**4 + 2*p**2 + 16\/3*p**3 - 112\/3 - 124\/3*p = 0.\nAnswer: -2, -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5) - (-10224)\/720)\/((276\/48)\/23).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + x + 0 + (-4 - 2*x + 2 - 4)*(0 + 4 + 21).\nAnswer: -49*x - 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)\/(n*n\/(((n\/n**(-4\/3))\/n)\/n)))\/(n**12*n**(5\/2)) assuming n is positive.\nAnswer: n**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 156.269 or -1\/555?\nAnswer: 156.269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1917818, 3835625, 5753428, 7671227?\n\"Answer: -2*x**2 + 1917813*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11.8 times -9\nAnswer: -106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 233*c**3*o**2 - 7243*c**2*o**3 + 60895*o**3 + o**2 wrt c.\nAnswer: 699*c**2*o**2 - 14486*c*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2671 = 1029. What is a rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3288 - -3292. Solve g + 3*w = u*g - 6, 2*w + 12 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 19*b = 5*q + 115, 24*q - 11*q + 5*b + 326 = 0 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h - 12. Suppose -5*k - k + 12 = 0. Suppose 3*u - i = 260, h*i = k*u - 115 - 63. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmw when three letters picked without replacement from {w: 1, m: 9, x: 1, o: 8}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-65))\/((126\/(-20))\/3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-35)*11)\/((-1456)\/5096)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-21)\/3)\/(-8 - (-252)\/32) and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5928 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2)*2)\/(426\/8662*20\/12).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677247.\nAnswer: 3, 225749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 31 + 41 = 3*c, 0 = u + 3*c - 22. Suppose -4*f = f - u. Let r(q) = q**3 - 6*q**2 + 5*q + 3. Let i be r(f). Is i greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 101. Find the third derivative of -15*w**3 + 23 - 46 - 23*w**3 - 5*w**2 + p wrt w.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -8 - (-3 + 1)) + (34 - 34).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 527926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*d - 139. Let u = d + -14. Find the second derivative of -t - u*t**4 - 24*t**3 + 24*t**3 wrt t.\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6666.14362 + 6501.606. Let n = h + 166.538. Let a = -2 + n. What is a rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 418\/18 - 2\/9. What is the tens digit of -3*(c\/(-3) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 3.8. Let p = 1.5 + m. Let l = p + -0.6. Which is the nearest to 0? (a) -1 (b) l (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014788836 rounded to 5 dps?\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3724*a + 4954*a - 546714 = 0 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6932 or -7074?\nAnswer: -6932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13233491 rounded to two dps?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 - -70. Let a be 3 - (4 + 0) - -1. Suppose 0 = -3*d - a*d - 2*j - 44, 5*d - j + 69 = 0. Does p = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -31. Let c(b) = n - b + 4*b - 21. What is the units digit of c(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -50. Let k be ((-8)\/18)\/(18\/r). Find s, given that 2\/3*s**3 + 0*s + 0*s**2 - k*s**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2423895057 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: Is 11 a factor of 2566556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 21 = z. Let h be 8\/5 - 10\/(-25). Let a be h*3*(-1)\/(-2). Solve a*c = -0*c - z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*q)*((4 - 2 - 3)*(-4*q**2 + 4*q**2 + q**2) - 4*q**2 + q**2 + q**2).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*f - 36779 + 35880 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-138)\/(-12) + (-3)\/2. Calculate the least common multiple of 195\/26*16\/u and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 - 84*c**2 - 6*c + 3. Let p(w) = 24*w**3 + 420*w**2 + 28*w - 14. Give 14*b(k) + 3*p(k).\nAnswer: 2*k**3 + 84*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294910.\nAnswer: 2, 5, 7, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*(2 + -5 + (sqrt(1053)*1 + sqrt(1053) - sqrt(1053)) + sqrt(1053) + -3*((sqrt(1053) + 0 - sqrt(1053)) + sqrt(1053) - sqrt(1053)))**2.\nAnswer: -972*sqrt(13) + 37989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2. Let a(u) = 2*u - 7. Determine v(a(x)).\nAnswer: 8*x**2 - 56*x + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*j - 45 - 43, -3*w = -3*j + 72. Calculate the smallest common multiple of j and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 3 + (-1)\/1. Let r be (h - -3)*(-1)\/(-1). Suppose -2*u - 6 = -3*i + u, -3*i + r*u + 9 = 0. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 858 = -v, -27*c + 24*c = -3*v + 2577. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 16) in base 6?\nAnswer: -1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 55348564 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 121248273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 50411 (base 7) to base 5\nAnswer: 342314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 0, 1, -5.\nAnswer: -5, 0, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -490, -1147, -1890, -2713, -3610, -4575, -5602?\n\"Answer: r**3 - 49*r**2 - 517*r + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 187 - 89. Let j be (-2)\/(-7) - (-560)\/v. Let o be -3*1\/(-3)*2. Solve -o = 2*h - j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 - -175. Let o = f - 66. What is the remainder when 58 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1176 - -0.0696. Let d = -430.048 + 424. Let i = k - d. What is the third smallest value in 2\/15, 2, i, 4\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -5 - -6) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 9 = 0, 4*k = 4*i + 21 + 3. Is k*(-2 + 3) + 674 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + -1) - (8 + 7 - 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/(-10) - (-1 + 1). Suppose 55 - 6 = 7*b. Suppose m = 3*f - b*f + 195, -81 = -2*f + g*m. Calculate the highest common divisor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-146)\/(-30) - 2\/(-15). Let z = 1 - 2. Let t = z + 1. Sort -0.2, t, h in increasing order.\nAnswer: -0.2, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -780 divided by 2742?\nAnswer: -130\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -69. Suppose v*c = 27*c - 36647. Suppose 11*r - c = -2*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-16)*-26)\/((-448)\/896)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124561944 a multiple of 3646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 2:44 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 180551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*h**2 + 57*h**2 + 35*h**2 - 6*h**2 + 4*h**2 + h**2 + (0*h - 2*h + 3*h)*(h - h - h))*(-1 + 6 - 3).\nAnswer: 124*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7980\/17 or -28.03?\nAnswer: -7980\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-12)\/(-432))\/(2\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279439, 559340, 839707, 1120546, 1401863?\nAnswer: 1683664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 549 - 277 = -73*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 22*b - 68.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/333*2*453\/302?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 2*f - 134 + 127 + 11*f**2)*(0*f + f + 0*f) + (-2*f**2 + 6*f**2 - 2*f**2)*(4*f - 4*f - 3*f).\nAnswer: 6*f**3 + 2*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8434906?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 9. Determine f(12).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-10)\/4*(24 + -160)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3050620\/693 - 30820\/7. Calculate the common denominator of x and -47\/2860.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7453, 4, -7 in ascending order.\nAnswer: -7, 4, 7453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/29)\/(v**(-6\/13)\/v)*(((((v\/(v\/(v*v**4\/v)))\/v)\/v)\/v*v)\/v)**(-14))**2 assuming v is positive.\nAnswer: v**(-9428\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/6*4\/(-5). Suppose 0 = -4*b + k*b. Suppose b = -m + 6. What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 11:01 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.145 or -623\/537?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 16630*d**2 - 232085*d + 811440.\nAnswer: -5*(d - 3312)*(d - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -803*b**2\/3 + 4821*b - 54 = 0. Calculate b.\nAnswer: 9\/803, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 73 * 2042.452\nAnswer: 149098.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-2 - 2*z + 2) - 3*z - 3*z + 3*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + (-35 - (-34 - -13)) + 8?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1094662 and 809098.\nAnswer: 18609254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 8*n**2 + 13*n - 1. Let q be (-3 - (-4 + -8)) + -3. Let u be k(q). Is 1035\/12 - u\/4 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = 3*u - u, -4*u + s + 2 = 0. Suppose -a = -3 + u. Suppose 0 = a*t - 8, 5*c + 2*t + 3*t - 20 = 0. Solve j - 4 = 4*j - 4*b, c = -j - b + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3 + 0 = 0, -3*d = -4*x - 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2974 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 8) + (-12 - -16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 - 20*x. Let c(t) = -t. Calculate c(u(i)).\nAnswer: 3*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8. Suppose h + 6*h - 35 = p. What is the remainder when 24 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1148 and 738?\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*q**4 - 77*q**3 - q**2 + 178*q - 37 wrt q?\nAnswer: 216*q**2 - 462*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -491.23 - -486. Let s = -4.23 - v. Let r = 4.6 - -0.4. Sort r, 0.5, 26, s in decreasing order.\nAnswer: 26, r, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2110211 (base 7) to base 12\nAnswer: -103418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -59, -4, 181, 5 in descending order.\nAnswer: 181, 5, -1, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -7308637.6 to the nearest one thousand.\nAnswer: -7309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 24. Find the third derivative of 4*h**2 + 6*h**2 - g*h**2 + 0*h**4 + h**4 wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*d - 9*d - 53888, 0 = 4*b + 4*d - 43096. List the prime factors of b.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830 - 822 = -83*a - 490 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = -3*d. Is -4 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4973 = -575*r - 11298 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1062*a - 4248. Let o be v(4). Solve o = -4*t - 4*x + 4, -t + 0*x - 2 = -2*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403900.\nAnswer: 2, 5, 101, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 3\/((-9)\/(-6)) + 19. Suppose -42 - p = 3*l. Find the common denominator of l\/21 - (9 - 6) and 64\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012202022101011 (base 3) to base 5.\nAnswer: -13423442003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3177 times -13\nAnswer: 41301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-four fifths of a decade?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14791 - -289?\nAnswer: -14507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -817*m = -818*m + 532. Calculate the highest common factor of m and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/3 - 17*x**2\/2 + 7*x + 8. What is the units digit of i(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17981 = 38*z - 18461. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 79*s**2 + 6*s + 4. Let c(u) = -3*u**2 + 1. Determine 4*c(t) - f(t).\nAnswer: -91*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -502\/7 - -72. Let s be (-3*(-10)\/105)\/1. Which is the nearest to s? (a) -2\/11 (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 + -83. Let w(k) = -10*k + 10. Let o be w(b). What is the third smallest value in 2\/7, 0.1, o, -60?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(200) + 2)**2 - (-2*sqrt(200) + -2)) + 1 - ((sqrt(200) + 0)**2 + -5 + 2 + 1)*-4.\nAnswer: -180*sqrt(2) - 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 2437157?\nAnswer: -21\/2437157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40238\/7 - -5750. Factor -39\/7*m**2 - 36\/7*m - 18\/7*m**3 - z - 3\/7*m**4.\nAnswer: -3*(m + 1)**2*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 1167116?\nAnswer: -23\/1167116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4345582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368031864?\nAnswer: 2, 3, 157, 97673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -2*t + 2*b + 11, 0 = 2*t - 3*b - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0659 * -1.4\nAnswer: -0.09226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3 - 7 + 16 + 51*u + 21. Let s(g) = 102*g + 65. Let w(r) = -5*a(r) + 3*s(r). Differentiate w(t) with respect to t.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5232 divided by 4?\nAnswer: -1308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (180\/94)\/(-2) + 1. Let b be 28\/12 + -1*4\/12. Let j(o) = 4*o**2 - o - 14. Let l be j(b). Is c equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2091 - 2b58?\nAnswer: -ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 15*n**2 + 26*n**2 + 6*n - 6*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -821694, -1643737, -2465780, -3287823, -4109866, -4931909?\n\"Answer: -822043*o + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -6)*2\/(-2). Which is the closest to 0? (a) t (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -72, -142, -212, -282, -352, -422?\n\"Answer: -70*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + (9 - (-11 + 26)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110133811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2. Let s = -1 + 3. Let o be s*3*(-1)\/(-6). Let m be (-741)\/(-143) - (-4)\/(-22). Let c(k) = -4*k**2 - k + 1. What is m*d(y) + o*c(y)?\nAnswer: y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -191 + 1339\/7. Which is the nearest to t? (a) 2.2 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Suppose -m + 20 = 4*b. What is the second derivative of 4*h - 2*h - 3*h**2 + b*h**2 wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5436459883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 7:45 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + 0\/(2*1). Let f be 3 + 2 + (-6)\/2. Calculate the remainder when (5\/k)\/(f\/148) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s**2 + 2*s - 2. Let v be z(1). Suppose -4*d + 60 = p + p, -2*d - 2*p + 26 = 0. Let m = v + d. Calculate the greatest common divisor of 14 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 - 2*r + 2. Let h be t(-2). Let y be ((-5)\/h)\/((-3)\/(-12)). Let l = -16 - -28. Solve -y*w = w + l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68.22*-293\nAnswer: 19988.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -1813?\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = w - 16, t + 16 = w - 6. Suppose -w = -8*v + 13*v. Sort 2, v, -11, 3.\nAnswer: -11, v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2*w = 7*i - 2, 3*i + 3*w = -3. Put -47, -5, i, 4 in decreasing order.\nAnswer: 4, i, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - 2*y**4 - y**5 + (-2*y**2 - y**2 + y**2)*(y - y - 2*y**3) + 0*y**5 + 5*y**5 - 6*y**5.\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 87\/(48807\/(-102)) - 6813\/99\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vst when three letters picked without replacement from {v: 1, t: 2, b: 3, h: 3, q: 1, s: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432, 1939, 4476, 8043?\nAnswer: 12640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 3. Let i be x(3). Suppose -i*w - 30 = -w. Suppose 0 = 5*d - b + 69, 0*d = -3*d - b - 51. Is w less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -2b?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 615*w**2 - 14280*w + 300560.\nAnswer: -5*(w - 13)*(w + 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 40 + 90 = 0. Suppose 3*z + 2*z = 5*n - 40, n - w = -5*z. Suppose -9 + n = -2*o. Is 2\/7 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3270, -2, 3 in descending order.\nAnswer: 3, -2, -21, -3270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**5\/60 + b**4\/12 - 29*b**3\/3 - 2*b**2 - 9*b. What are the prime factors of w(-18)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 7*m**2 - 10*m + 1. Let i be q(-8). Let c = -16 + i. Sort c, 6, 3 in descending order.\nAnswer: 6, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*h**3 - 1 + 1 - 96*h**3.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 408\/32*(43 + 17235\/(-405)). Solve -10\/3*i**3 + 1\/3*i**4 + p*i**2 + 0 - 8\/3*i = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -4, 102 in descending order.\nAnswer: 102, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15840729253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) + (-34)\/6. Let i(h) = -h**3 - 5*h**2 + 5*h - 4. Let l be i(a). Solve 0 = l*d - 6 + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61976332 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/23, -0.3, 1\/21, -34, 4.\nAnswer: -34, -0.3, 1\/23, 1\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2289413544?\nAnswer: 2, 3, 11, 337, 25733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14264.4 - 14264. What is the third biggest value in -1.54, x, 4?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39913 + 39979.439. What is n rounded to 1 dp?\nAnswer: 66.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 320727*n**3 - 517409 with respect to n.\nAnswer: 962181*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**5\/60 - 2*i**4\/3 + 25*i**3\/18 - 87*i + 75. Let x(w) be the first derivative of o(w). Factor x(u).\nAnswer: -u*(u - 1)*(u + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 4 + 5)*(-1 + 0 + 3) - 2 - 3 + 4)*(-2 + 4 - 1012004*v + 1011860*v) to c + m*v and give m.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {o: 2, b: 3, w: 1, h: 4, t: 1, s: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - 1. Let i(x) be the first derivative of x**3\/3 - 3*x**2 - 6*x - 1. Is i(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {f: 1, h: 5, q: 1, y: 2, a: 3}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1504 and 6705 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2310992 is divided by 1291.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1141456754*h**2 + 1240787056?\nAnswer: -2282913508*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 1:44 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 71*b + 282. Let z be t(-4). Let x(f) = -f**2 + f + 2. Determine x(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 25506738.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let v(i) = 9433*i**2 - 2*i. Calculate v(g(d)).\nAnswer: 9433*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1063260195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58915143251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 30*r**2 + 80*r + 1074. Calculate y(31).\nAnswer: 2593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1261711, 5046839, 11355387, 20187355, 31542743, 45421551?\n\"Answer: 1261710*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1494 and 4066668.\nAnswer: 4066668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/23)*a)\/a)**27 assuming a is positive.\nAnswer: a**(81\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6.4 - 1241294\nAnswer: -1241300.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y + 35. Suppose y*o - 5*o - 36 = 0. 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 o be (24\/5)\/(((-30)\/725)\/(-6)). Let j = -693 + o. Let p be (-10)\/(-3)*12\/10. Solve j*l + 3 = p*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29823 - -46870. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.885 take away -146086619.8?\nAnswer: 146086616.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13338254 minus -0.3?\nAnswer: 13338254.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*d - 76 = 0, 4*u + 59 = -d - 4*d. Let s = u + 71. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**2 - 2*i**2 + i**2)*(-8*i - 16*i - 18*i) as x + k*i**3 + u*i + f*i**2 and give k.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1156 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 272, 306, 348, 398?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22690 divided by -1.\nAnswer: 22690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oovvvovl. Give prob of picking 3 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = w - 3, -4*w + q - 28 = -3*q. Let y be (9\/(-2))\/(w\/4). Solve y = -4*g + 25 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*(2\/10)\/((-1376)\/51600).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 n, and 1 j when four letters picked without replacement from rnjrdqjdrznnjjq.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 3, -29, 23 in descending order.\nAnswer: 23, 6, 3, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 119935.9 and -2.\nAnswer: -239871.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**4 + 16*l - 16*l)*(l + 2 - 3 + 0*l).\nAnswer: -5*l**5 + 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v + 4. Suppose -4*f + 71 = 3*j - 353, -3*f + 3 = 0. Suppose -2*y + j = 5*z, z = 5*z + v*y - 112. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 + -0.3. Sort 1, 5, o.\nAnswer: o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/3 - (-56)\/(-42). Is (-1 + 6)*996\/(-180)*t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y**4 + 4*y**3 - 4*y**3 + 29*y + 7*y**2 - 3*y**2 - y**4 - 20*y + (2*y + 3*y - y)*(-3*y**2 + 3*y**2 + y**3).\nAnswer: 10*y**4 + 4*y**2 + 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36873791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(468) + 3 + 4 - (sqrt(468) + 0 + 0 + sqrt(468) + 1 + (0 + sqrt(468))**2).\nAnswer: -462 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 3. Let z be (-4)\/(28\/(-189)) - 1. Let q(o) = z - 12 - 13. What is -i(j) - 4*q(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 + 6.3. What is the closest to 2\/3 in q, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + h)*(0 + 2 - 3)*(-6*h + 3*h - 2*h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 5*m - 15, 3*m - 9 = 16*t - 13*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87669 divided by -4072?\nAnswer: -87669\/4072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -194*j + 1973. Suppose 5*z = 119 + 31. Calculate the lowest common multiple of z and o(10).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -396 - -1981\/5. What is the second smallest value in 2, 5, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508253215.\nAnswer: 5, 31, 79, 41507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 2*x - 4*x)*(0 - 6 + 13)*(2 - 3 + 2) to f*x + k and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 18 = -2*l + 2*f, 4*f + 48 = 3*l. Suppose 3*x - 2*s + l = 31, 5*x = -s + 23. Suppose u = -x*u + 624. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.36 - -0.04. Suppose -6*n = 3*n - 5*n. Let d be (-8)\/24 - (n - (2 + -2)). What is the nearest to 0 in 2\/7, d, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - p - 2 = -4, 5*l + 38 = -2*p. Let w = l + 9. Solve 5*n + y + 5 = n, -w = -y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, -773, -776, -779, -782?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 14. Let m be 0 - (-5)\/(20\/u). Let n be (1\/3)\/(7\/(-18)). Which is the third smallest value? (a) 0.5 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101101000000100100 (base 2) to base 6\nAnswer: -3541300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/((1\/3)\/(-122 + 109))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 4:33 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-2) + -12 + 35 + -1. Let i = l + -22. What is the derivative of -8*t**2 + 8*t**i - 6*t**3 - 4 wrt t?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o - 122. Let r be c(-24). Let n(m) = -r*m + 4*m + 46*m + 38*m. Let t(b) = -2*b**2. Determine n(t(a)).\nAnswer: -132*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1344 and 77\/92328.\nAnswer: 5170368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2*i + 50, -k + 0*k + 27 = i. Suppose -17*p = -15*p + k. Which is smaller: -6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -11 + 1 + (-6 - (-15 - -7 - 17)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-135) - 124\/(-9). Let b = w - 9. Solve -5*a - 5 = -b*c, 0*c - 24 = -4*a - 3*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/37 (b) -0.3 (c) 0 (d) 23\/3 (e) -6 (f) 1.6934\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h + 9 = 41*h, -5*x - 5*h + 248390 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -4*s**3 + 8*s**2 - 10*s + 56. Let y(h) = -4*h**2 + 5*h - 3. Calculate 3*b(g) - 10*y(g).\nAnswer: 4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10259 = -3*s, 5*w - 73142 + 21911 = -s. What is the remainder when w is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkxjmxzkrmxxzxzmxmkr. Give prob of sequence jxk.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/11, -452, -5, 2\/13 in decreasing order.\nAnswer: 2\/13, -5\/11, -5, -452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14328 divided by -1592?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.99999945 + -17. Round x to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i - 39. Let x(w) = 3*w. Give x(q(o)).\nAnswer: -39*o - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59765?\nAnswer: 5, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09869 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21187, -21241, -21295, -21349, -21403, -21457?\n\"Answer: -54*j - 21133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/25416 and -67\/24.\nAnswer: 25416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31.7 - -31.5. Let w = t + -0.3. What is w rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:13 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -97a581?\nAnswer: -97a585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = -3*a + 2102, -4*o = -4*a + 2856. Let h = a - 492. Suppose i + 1081 = 2*s, -s = 2*i - 336 - h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 63.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.24 * 0.2.\nAnswer: -0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**3 + 4*r**2 - 10*r - 39. What is the smallest common multiple of 7 and j(4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/15 - 188\/(-20). Solve -4*p + 5*b + 19 = -7, -2*p + b = -i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001786425 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60456*l*q**2 + 2019*l + 227*q**2 - 23474*q wrt q?\nAnswer: -120912*l + 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 558 + -554. Which is the nearest to 4? (a) 11 (b) 1\/6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 591 (c) 0.1 (d) -457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 98.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 - 1059*f + 11287. What is u(342)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*l + 420 = 0, -3*d - 2*l = l - 315. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 9 = -5*x, 18 = 2*f - 5*f + 4*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -1)\/(1\/3). Suppose -4*u + u + 2*d = -13, 0 = u + 3*d + 3. Factor -7\/3*r + 1\/3*r**4 - 5\/3*r**u + j*r**2 + 2\/3.\nAnswer: (r - 2)*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 - ((-11 - -7 - -3) + 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 61.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Let y = r - 2.5. Let t be ((-3)\/26)\/((-3)\/16*4). Sort t, y, -0.4 in increasing order.\nAnswer: -0.4, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -3*h + 808. Let f be 1\/(5*4\/h). Suppose f*v = 14 + 31. Calculate the least common multiple of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v - 25 = 72*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1896699164 to the nearest 10000.\nAnswer: 1896700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.0004 + 3.00039993743. What is m rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*l - 106 - 1536 = -115 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*r + 20097 = -2707, 0 = -n - 4*r + 7624. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**41\/(z*z**(-4)\/z*z)**(-19) assuming z is positive.\nAnswer: z**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33872, -26091, -18310, -10529, -2748?\nAnswer: 5033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17016 (base 8) to base 16\nAnswer: 1e0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 - 93955*o**3 + 7491985*o**2 - 141906125*o - 314531910 = 0. Calculate o.\nAnswer: -2, 41, 18711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58390 - -b8?\nAnswer: -582a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 5*m**2 + 6*m + 3. Let r be j(6). Let b = 42 - 27. Calculate the remainder when b is divided by ((-8)\/r)\/((-3)\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31332, -125342, -282026, -501384?\n\"Answer: -31337*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -5*d**3\/3 - 110*d**2 - 2420*d + 37. Factor w(r).\nAnswer: -5*(r + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.1, 6, -37\/157 in descending order.\nAnswer: 6, -0.1, -37\/157, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 13. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)**(3\/19))**(5\/18) assuming q is positive.\nAnswer: q**(-5\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 12:53 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1925963 to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let u = 0 - 5. Let b = -1893 + 1895. Sort u, m, b in descending order.\nAnswer: m, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(sqrt(76)*2 + 5 - (sqrt(76) + (sqrt(76) - (sqrt(76) + -1))*-3)))**2.\nAnswer: 112*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20, n - 32 = -6*r + 8*r. Let l be (-3)\/(-7) + 20\/r. Are 0.1 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 30*v + 108. Let s be h(5). Let d be 8\/(-3)*(-6)\/4. Suppose -2*m - 3 = -5*j - d, -m = -j - 5. Solve 4*u + 0 = -5*b - s, 4*u + m = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -14 - -4 - (-52 - (-41 - -56))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39, 59, 83, 111?\n\"Answer: 2*l**2 + 14*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3 - 5*v**2 + 6*v**2 - 3*v**2 = 0 for v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 13. Let i be l(-10). Let y = 3 + 1. Suppose -y*x + 9 = -i*x. Solve -2*r + 5*b = -3*r - 3, -3*r - b - x = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 1, -35 in increasing order.\nAnswer: -35, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 24261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/17, 0.01, 11930?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 1. Let m(q) = q**2 - 3*q + 4. Let g be m(3). Let o(n) = 6*n - 3. Let d(i) = g*p(i) + o(i). What are the prime factors of d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223270 and 108730.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {v: 1, y: 4, o: 9}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 26. Suppose 0 = -o - m + 2, p*m = 3*o + m - 6. Solve -3*z - 2*k = 11, -o*k = -z - k - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24470, -3\/23, -0.278, 2\/3 in descending order.\nAnswer: 2\/3, -3\/23, -0.278, -24470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 2067.\nAnswer: -2066.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 91*q**2 + q + 2. Suppose -2*l - 4 = -8. Let u be k(l). Let b = u + 78. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 5*l + 12. What are the prime factors of r(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**3*f**2*w**2 - 65*c**3*f**2*w + 3*c**2*f**2*w - 8*c**2 - 3*c*f*w**2 - 5*w**2 wrt c.\nAnswer: 24*f**2*w**2 - 390*f**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-309 - g + 253 - g)*(3 - 4 - 1)*(14 - 20 + 20 - 2*g) as u*g + o + w*g**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 5880*q**3 + 35*q**4 - 7*q**2 + 1\/12*q**5 + 0*q + 13. Find u, given that n(u) = 0.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1099.627433 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*i - 357 = 683, -3*z + 1530 = -2*i. What is the remainder when z is divided by 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000011 (base 2) in base 12?\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 64\/(-12))\/((-8)\/12). Suppose 0*d - 289984 = x*n - 4*d, -2*n + 4*d - 115984 = 0. Round n to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1262938?\nAnswer: 3788814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-280)\/21)\/(-8)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. Suppose 0 = -m*y - 12 - 13. Which is smaller: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -597718 and -597724 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -785 + 821. Let q = 16 + -17. What is the remainder when q\/(-5) + 4998\/35 is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2556 is divided by 320.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/3 + 10*j**2\/3 - 2464*j\/3 - 12584 = 0?\nAnswer: -22, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68236, -69723, -71210, -72697?\nAnswer: -74184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 > 426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 + -182. Let m = 961.3 + -1016. Let i = n - m. What is i rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**2 - 4*s - 18. What is the remainder when j(6) is divided by (-285)\/(-8) - 699\/(-1864)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -892823973.5 to the nearest one million.\nAnswer: -893000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 31 - 15 = -5*b, -5*b + 5*y = -55. What is the smallest common multiple of b and 38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 5010471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + l - 1. Let y be m(-2). Suppose y*u = 4*u + 3. Let j be (-10)\/(-3 - (-3)\/u). Solve 4*i = 3*i - 2*x - 15, j*i + 40 = -3*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1948576, 1948592, 1948608?\nAnswer: 1948624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 867*k**4 - 247503*k**3 + 116328*k**2 - 13680*k.\nAnswer: 3*k*(k - 285)*(17*k - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.39\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22178 + 38983. Is 24 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*l - 548*l + 15653 = 337*l + 43437 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*q + 46, -4*l + 18 = -q - q. Solve -l = -a - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35391249, 35391247, 35391245, 35391243, 35391241, 35391239?\n\"Answer: -2*v + 35391251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 - -3 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 258943 divided by -19?\nAnswer: -258943\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 24 = 4*h. Let s = -8 + 10. What is the lowest common multiple of s and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 1. Let s be p(0). Let o be 2 - (s - 1)\/(-3). Let z(k) = -10*k**o + 3*k**2 + 3*k**2. Let n(l) = 2*l. Give z(n(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -24, -1\/3 in ascending order.\nAnswer: -24, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d = 0. Sort 1, d, -3 in decreasing order.\nAnswer: 1, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221.7 - 242. Let n = j - -20. Which is the biggest value? (a) n (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8033975 is divided by 6980.\nAnswer: 6975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 8*n**7\/21 + 34*n**6\/15 + 28*n**5\/5 + 22*n**4\/3 + 16*n**3\/3 + 2*n**2 - 5*n. Find b such that s(b) = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1. Let s(y) = -9*y**3 + 9. Determine -27*o(v) - 3*s(v).\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 7:24 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 1. Suppose 35 = 4*y - 2*f - 21, 0 = f. Suppose -y - 10 = -4*j. Give w(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 84. What is k(-29)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-20))\/(2\/(-240)). Suppose 2*h - 8*h + s = 0. Suppose h*a = 10*a - 4. Solve -c = 5, -2*c - 3 = -a*m + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 10*d + 0*d - 7*d to c + r*d and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = -665 + 1141 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 + (-27)\/90)\/(9\/265) - -9)*-25?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**6\/10 - 9*t**5\/20 - t**4\/4 + 3*t**3\/2 + 3*t. Factor v(l).\nAnswer: 3*l*(l - 3)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 603 - 603.198. What is the second smallest value in x, -0.1, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 79*n - 14. Let g be f(7). What is the remainder when 28 is divided by g\/35 - (-4)\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i + 8*i**4 + 11*i + 17*i**4 wrt i.\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9139 - 1855. Is u a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsc when three letters picked without replacement from zcxsg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*b - 20, 0 = -n - 4*b - 5 - 0. Which is greater: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 + 3 = 0. Let c be 165\/35 - 4\/(-14). Suppose 0 = -k + c*i + 14, -4*k - 10*i = -13*i - 56. What is the greatest common divisor of g and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 85 = 3*z, 2*j = -j - 3*z + 45. Let h = -230 + 309. Calculate the remainder when h is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/((i*i**11)\/i))*i**(1\/5))**(-3\/31)\/((i\/i**9)\/(i\/(i*i**(-2\/25)*i*i*i)*i))**(-4\/7) assuming i is positive.\nAnswer: i**(-24203\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 4*d**2 - 3*d - 7. Let b be g(-4). Suppose -3*m - 7*m = b*m. Suppose 17*l = -m*l + 1785. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108215, -216423, -324627, -432827, -541023?\nAnswer: -649215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*j**2 - 32 - 8*j**2 - 2*j**3 + 0*j**4 - j**4 - 13*j**2 to c + a*j + p*j**2 + z*j**3 + w*j**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, 11 in increasing order.\nAnswer: -3, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 4*j + 3. Let c be p(-2). Suppose -15 = -c*k, 0 = -n + 5*n - 5*k - 1547. Suppose -5 = 5*r, 4*a - n = -3*r + 4*r. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1. Suppose 0 = -4*u + 149 - 41. Let x(a) = 53*a - 27*a - u*a. What is -4*l(f) + x(f)?\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1)*(-7)\/(-42)*-15. Sort f, 1, -4 in descending order.\nAnswer: 1, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3162 + -1110. What are the prime factors of v?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 2*u**2 + 199*u + 1080. Let y be h(-5). Calculate the highest common divisor of y and 17140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173 * 1414\nAnswer: -244622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*k + 180, -5*k - 6 = -3*z + 116. Let x(g) = g**3 + 4*g**2 - 2*g - 6. Let n be x(-4). Suppose n*u + z = 222. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1546*v + 3 - 2 + 3467*v - 1 to d + z*v and give z.\nAnswer: 1921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2464344450 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -x + 23. Is x <= 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 750 - 3\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 1206 = -3*h. Let r = 271\/2 - h. Let w = 2.2 - -0.8. Which is the smallest value? (a) 1 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = -2*t - 0*t, -3*p = -2*t + 16. Let i be (0 - 12\/27)\/t. Which is the biggest value? (a) 1 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-282)\/470*(4\/30)\/(12\/(-75))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 2 + 3*q**3 + 5*q**3 - 8 - q**2 as f*q + c + d*q**2 + i*q**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from bbbbbgbrbbbrrby.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4*f*f*(f\/(f*f**(4\/3))*f*f)\/f assuming f is positive.\nAnswer: f**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-2))\/25)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/80*8)\/(480\/100))\/(2\/372).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9728*r**2 + 9770*r**2 - 19496*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31517 is divided by 4476.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 292100*d**3 - 122*d**2 - 1292*d?\nAnswer: 1752600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -19, 13, -2, 2, -226 in decreasing order.\nAnswer: 13, 2, 0, -2, -19, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1119, -2059, -2999, -3939, -4879?\nAnswer: -5819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316 - -117413476.\nAnswer: 117413792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80, 126, 144, 134, 96?\n\"Answer: -14*d**2 + 88*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2096706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1*2\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453 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: Let v = 7 - 0. Let l be (-4)\/(-2) + (0 - 3). Let y be -7*(12\/(-1) - l). What is the highest common divisor of v and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3 - 16*n**2\/5 - 158*n\/5 - 12 = 0. What is n?\nAnswer: -3, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -362 + 165. Let c be (168\/60 - 2)\/((-2)\/490). Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194*g*v**6 - 6*g*v**3 - 7*g*v**2 - 32*v**2 wrt v?\nAnswer: -23280*g*v**3 - 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j + 17*j - 9*j - 1257 + 617 - 3*j**2 + 626 to the form c*j + t*j**2 + q and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 651052929 a multiple of 6801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 5*v**2 - 4*v + 4. Let f be x(4). Let g(q) = q - 11. Let z be g(12). Let w(t) = z + 2 + 1 - 2*t. Determine w(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20340026 is divided by 873?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4031107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 3c5?\nAnswer: 3ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/66*(-9)\/(-6). Let o be 0 - (1 + (-2)\/2). Which is the nearest to -2\/13? (a) s (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 + -203. Suppose 5*p - 16 = -2*n, 3*p = -3*n - p + 17. Sort k, 2, n in decreasing order.\nAnswer: k, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 7. Let w(g) be the second derivative of -g**4\/12 + g**3\/6 + 3*g**2 - 3826*g. Determine -6*v(t) + 7*w(t).\nAnswer: -t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, p: 3, v: 2, j: 2, t: 3}. What is prob of picking 2 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28334 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*p + 81, 2*u + 36 = 4*p + 174. What is the remainder when u is divided by 72?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 5 + 3 + 1 - 6 - 1 - 3 + 3 + 3 - 6 + 1 + (1 + 3 - 2)*(-2 - 3 + 3))*(3 + 0 + 0)*((0 + 4 - 6)*(2*c + 5 - 5) - 2*c + c + 3*c)*(-100 + 100 - 13*c).\nAnswer: -546*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 1439124*l - 258884735922.\nAnswer: -2*(l - 359781)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3 (b) 2\/93 (c) 269 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 904753081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -236.803 + 237. Let p = 0.003 + f. Which is the second smallest value? (a) p (b) -4\/21 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -17*c. Let d(u) = 5*u**2 - 8*u**2 + 0 + 0. What is h(d(x))?\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 1)\/(-1) - -19. Suppose -t*m + 32 = -20*m. Let k(d) = -d**3 - 7*d**2 + 8*d + 7. Is k(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 232.9915 kilograms?\nAnswer: 232991500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - cc4?\nAnswer: -cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or -123?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = u - 4. Let g(z) = 2*z**2 + 3*z - 7. Is g(u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.014000147 - -0.014. What is l rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11134311204 + 1?\nAnswer: -11134311203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 50, -0.4, 23\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 21*k**3 + 3*k**2 + 4*k + 3. Let d be (-1 - (-7)\/2)*16\/(-8). Let i(m) = -11*m**3 - m**2 - 2*m - 1. Let v(w) = d*i(w) - 2*n(w). Determine v(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112144.3 millilitres to litres.\nAnswer: 112.1443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -0.1, -0.02, 2, 1373?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**3 + 4*n**2 + 3*n**3 - 2*n + 3 - n**2. What is the units digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -911, 0.2, 19, -5, -0.2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/20 + l**3\/6 + 8*l**2. Let i be f(1). Solve 5*o = 2*w + 10, i*o + 25 = 3*o - 5*w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 379185498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}